Metrics for Trowbridge-Reitz Sample, near normal, slope

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze329.0ms (3.5%)

Memory

22.8MiB live, 576.7MiB 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)

sample1.6s (17.2%)

Memory

38.2MiB live, 3 121.9MiB allocated

Samples

1.2s	8 256×	0	valid
0.0ms	4×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 990.0ms

const: 373.0ms (37.7% of total)

ival-mult: 147.0ms (14.9% of total)

ival-sin: 117.0ms (11.8% of total)

ival-<=: 113.0ms (11.4% of total)

ival-div: 69.0ms (7% of total)

ival-sqrt: 60.0ms (6.1% of total)

ival-sub: 44.0ms (4.4% of total)

ival-and: 31.0ms (3.1% of total)

ival->: 28.0ms (2.8% of total)

exact: 5.0ms (0.5% of total)

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

Bogosity

explain133.0ms (1.4%)

Memory

-1.2MiB live, 194.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
2	-	1	(0.9999129176139832 0.22591640055179596 0.4976889491081238)	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
0	-	0	-	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
0	-	0	-	`(-.f32 #s(literal 1 binary32) u1)`
0	-	0	-	`u2`
0	-	0	-	`#s(literal 1 binary32)`
0	-	0	-	`#s(literal 314159265359/50000000000 binary32)`
0	-	0	-	`u1`
0	-	0	-	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
0	-	0	-	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
0	-	0	-	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sin.f32`	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`	cancellation	1	1

Confusion

	Predicted +	Predicted -
+	1	1
-	0	254

Precision

1.0

Recall

0.5

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	1	0
-	0	0	254

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

76.0ms

512×

valid

Compiler

Compiled 87 to 37 computations (57.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-sin: 27.0ms (50.5% of total)

const: 7.0ms (13.1% of total)

ival-mult: 6.0ms (11.2% of total)

ival-sub: 5.0ms (9.4% of total)

ival-div: 4.0ms (7.5% of total)

ival-sqrt: 3.0ms (5.6% of total)

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

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

exact: 0.0ms (0% of total)

preprocess48.0ms (0.5%)

Memory

24.4MiB live, 63.3MiB allocated

Algorithm

1×	egg-herbie

Rules

182×	`associate-l`
162×	`associate-r`
150×	`sub-neg`
148×	`distribute-lft-neg-in`
134×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	106
1	78	101
2	132	101
3	243	99
4	470	99
5	854	99
6	1104	99
7	1238	99
8	1310	99
9	1356	99
10	1372	99
11	1376	99
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))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Outputs

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

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

Symmetry

(abs cosTheta_i)

(negabs u2)

Compiler

Compiled 11 to 11 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Compiler

Compiled 11 to 11 computations (0% saved)

simplify15.0ms (0.2%)

Memory

-36.0MiB live, 13.2MiB 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))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Rules

36×	`lower-+.f64`
36×	`lower-+.f32`
26×	`sub-neg`
26×	`lower--.f64`
24×	`lower-*.f64`

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))) (sin.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)
(sin.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))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sin.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)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin.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

localize30.0ms (0.3%)

Memory

28.2MiB live, 67.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.15234375	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.16891603226728336	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy	0.33984375	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.34765625	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Samples

22.0ms

256×

valid

Compiler

Compiled 38 to 13 computations (65.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 3.0ms (20.4% of total)

ival-sin: 3.0ms (20.4% of total)

const: 3.0ms (20.4% of total)

ival-div: 2.0ms (13.6% of total)

ival-sqrt: 2.0ms (13.6% of total)

ival-sub: 1.0ms (6.8% of total)

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

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

exact: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory

-20.1MiB live, 18.3MiB allocated

Counts

6 → 84

Calls

Call 1

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

Outputs
#s(alt (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2))))))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2))))))))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.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 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (taylor inf u1) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (taylor inf u1) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (taylor inf u1) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))) (taylor inf u1) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.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 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (taylor -inf u1) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
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#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>) () ())) ())
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#s(alt (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (taylor 0 u2) (#s(alt (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (patch (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #<representation binary32>) () ())) ())
#s(alt (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (taylor 0 u2) (#s(alt (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (patch (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #<representation binary32>) () ())) ())
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#s(alt (* 314159265359/50000000000 u2) (taylor inf u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor inf u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor inf u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#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 (sin (* 314159265359/50000000000 u2)) (taylor inf u2) (#s(alt (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (patch (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #<representation binary32>) () ())) ())
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#s(alt (sin (* 314159265359/50000000000 u2)) (taylor inf u2) (#s(alt (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (patch (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (taylor -inf u2) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (taylor -inf u2) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (taylor -inf u2) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (taylor -inf u2) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.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 (sin (* 314159265359/50000000000 u2)) (taylor -inf u2) (#s(alt (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (patch (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #<representation binary32>) () ())) ())
#s(alt (sin (* 314159265359/50000000000 u2)) (taylor -inf u2) (#s(alt (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (patch (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #<representation binary32>) () ())) ())
#s(alt (sin (* 314159265359/50000000000 u2)) (taylor -inf u2) (#s(alt (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (patch (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #<representation binary32>) () ())) ())
#s(alt (sin (* 314159265359/50000000000 u2)) (taylor -inf u2) (#s(alt (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (patch (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #<representation binary32>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	u1	@	inf	((* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)))
2.0ms	u2	@	0	((* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)))
1.0ms	u2	@	inf	((* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)))
1.0ms	u1	@	0	((* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)))
1.0ms	u1	@	-inf	((* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)))

simplify198.0ms (2.1%)

Memory

3.0MiB live, 280.2MiB allocated

Algorithm

1×	egg-herbie

Rules

17 106×	`lower-fma.f64`
17 106×	`lower-fma.f32`
5 714×	`lower-*.f64`
5 714×	`lower-*.f32`
3 278×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	202	1002
1	602	910
2	1745	837
3	5203	784
4	7613	783
0	8018	754

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 83

Calls

Call 1

Inputs
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 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))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 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))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 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))))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))

Outputs
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(.f32 (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1)) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fma.f32 (.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (.f32 u1 u1)) #s(literal 1/2 binary32) (sqrt.f32 u1)))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(fma.f32 (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (.f32 #s(literal 1/2 binary32) (fma.f32 (+.f32 #s(literal 1 binary32) u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (.f32 u1 (sqrt.f32 u1)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)))))) (.f32 u1 u1) (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 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) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(fma.f32 (.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (.f32 u1 u1)) #s(literal 1/2 binary32) (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 (.f32 u1 u1) #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))) (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))))))
(*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1))
1
#s(literal 1 binary32)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(fma.f32 (/.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (+.f32 (/.f32 #s(literal -3/8 binary32) u1) #s(literal -1/2 binary32)) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(fma.f32 (/.f32 (/.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 #s(literal -1 binary32))) (.f32 u1 u1)) (+.f32 (/.f32 #s(literal -5/16 binary32) u1) #s(literal -3/8 binary32)) (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(-.f32 (+.f32 (/.f32 #s(literal -3/8 binary32) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))
(- (+ (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))))
(fma.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 5/8 binary32) (pow.f32 u1 #s(literal 3 binary32))) (/.f32 #s(literal 3/4 binary32) (.f32 u1 u1))) (-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) u1))))
-1
#s(literal -1 binary32)
(* -1 (+ 1 (/ 1 u1)))
(-.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal 1 binary32))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(-.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) u1))
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) u1) u1)))
(* -1 u1)
(neg.f32 u1)
(* u1 (- (/ 1 u1) 1))
(-.f32 #s(literal 1 binary32) u1)
(* u1 (- (/ 1 u1) 1))
(-.f32 #s(literal 1 binary32) u1)
(* u1 (- (/ 1 u1) 1))
(-.f32 #s(literal 1 binary32) u1)
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) #s(literal 1 binary32)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (/.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (+.f32 (/.f32 #s(literal -3/8 binary32) u1) #s(literal -1/2 binary32))) (neg.f32 u1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) #s(literal 1 binary32)) (/.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (+.f32 #s(literal 3/8 binary32) (/.f32 #s(literal 5/16 binary32) u1))) (.f32 u1 u1)))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal -3/8 binary32) u1) #s(literal -1/2 binary32))) u1))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(+.f32 (/.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal 3/8 binary32) (/.f32 #s(literal 5/16 binary32) u1))) u1)) u1) (sqrt.f32 #s(literal -1 binary32)))
-1
#s(literal -1 binary32)
(* -1 (+ 1 (/ 1 u1)))
(-.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal 1 binary32))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(-.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) u1))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) u1) u1)))
(* -1 u1)
(neg.f32 u1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(-.f32 #s(literal 1 binary32) u1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(-.f32 #s(literal 1 binary32) u1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(-.f32 #s(literal 1 binary32) u1)
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))) u2)
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(fma.f32 (pow.f32 u2 #s(literal 3 binary32)) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.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))
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(.f32 (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.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))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.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))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))

rewrite186.0ms (2%)

Memory

6.5MiB live, 195.9MiB allocated

Rules

3 704×	`lower-/.f64`
3 702×	`lower-/.f32`
3 286×	`lower-*.f64`
3 282×	`lower-*.f32`
2 456×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	32
0	16	32
1	46	32
2	237	32
3	1953	32
0	9692	32

Stop Event

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

Counts

6 → 521

Calls

Call 1

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

Outputs
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eval104.0ms (1.1%)

Memory: 5.3MiB live, 125.8MiB allocated
Compiler: Compiled 14 735 to 2 554 computations (82.7% saved)

prune64.0ms (0.7%)

Memory

25.8MiB live, 102.1MiB allocated

Pruning

34 alts after pruning (33 fresh and 1 done)

	Pruned	Kept	Total
New	571	33	604
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	571	34	605

Accuracy

99.6%

Counts

605 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.2%	(/.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	98.0%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
▶	98.4%	(.f32 (pow.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -2 binary32)) #s(literal 1/4 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.3%	(.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)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	72.1%	(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (-.f32 (log.f32 u1) (log1p.f32 u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.0%	(.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 u1 #s(literal -1/2 binary32))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	29.7%	(.f32 (/.f32 (.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	85.3%	(.f32 (/.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	98.1%	(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	33.6%	(.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))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	98.1%	(.f32 (.f32 (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	97.7%	(.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))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.0%	(.f32 (.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
	97.7%	(.f32 (.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	25.8%	(.f32 (sqrt.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (-.f32 (log1p.f32 u1) (log.f32 u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.1%	(.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	17.4%	(.f32 (sqrt.f32 (/.f32 (+.f32 (pow.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 3 binary32))) (fma.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (-.f32 (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.3%	(.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)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	2.3%	(.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 9 binary32)))) (+.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (pow.f32 u1 #s(literal 3 binary32))) (neg.f32 (.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.3%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	98.4%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	81.8%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
	81.8%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
▶	81.8%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	73.0%	(.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	32.1%	(.f32 (sqrt.f32 (/.f32 u1 (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	98.3%	(.f32 (sqrt.f32 (/.f32 u1 (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.4%	(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.3%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	40.3%	(.f32 (sqrt.f32 (.f32 (exp.f32 (log.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	43.2%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.2%	(.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	96.2%	(.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))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	75.0%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Compiler

Compiled 1 193 to 949 computations (20.5% saved)

simplify36.0ms (0.4%)

Memory

-26.3MiB live, 17.6MiB 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	(pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))
cost-diff	0	(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
cost-diff	0	(.f32 (.f32 (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	0	(/.f32 u1 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
cost-diff	0	(sqrt.f32 (/.f32 u1 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
cost-diff	0	(.f32 (sqrt.f32 (/.f32 u1 (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	896	(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
cost-diff	0	(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
cost-diff	0	(sqrt.f32 u1)
cost-diff	0	(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
cost-diff	0	(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	0	(-.f32 #s(literal 1 binary32) u1)
cost-diff	0	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
cost-diff	0	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
cost-diff	0	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
cost-diff	0	(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
cost-diff	0	(pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -2 binary32))
cost-diff	0	(pow.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -2 binary32)) #s(literal 1/4 binary32))
cost-diff	0	(.f32 (pow.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -2 binary32)) #s(literal 1/4 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Rules

78×	`lower-*.f64`
64×	`lower-+.f64`
64×	`lower-+.f32`
60×	`lower-*.f32`
46×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	256
0	60	232
1	85	232
2	105	232
3	117	232
4	131	232
5	145	232
6	165	232
7	196	232
8	233	232
9	245	232
10	247	232
0	247	232

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize184.0ms (2%)

Memory

9.2MiB live, 195.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.17578125	(pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))
accuracy	0.29525375976844204	(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
accuracy	0.33203125	(.f32 (.f32 (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.33984375	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.16891603226728336	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy	0.33203125	(.f32 (sqrt.f32 (/.f32 u1 (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.33984375	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.38671875	(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
accuracy	0.16891603226728336	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy	0.21484375	(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
accuracy	0.33203125	(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.33984375	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.13671875	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.33203125	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
accuracy	0.33984375	(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
accuracy	5.576729085234164	#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
accuracy	0.16891603226728336	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy	0.33203125	(.f32 (pow.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -2 binary32)) #s(literal 1/4 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.33984375	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.4619713379159782	(pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -2 binary32))

Samples

91.0ms	249×	0	valid
7.0ms	7×	5	exit

Compiler

Compiled 250 to 35 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-pow: 36.0ms (45.3% of total)

ival-mult: 17.0ms (21.4% of total)

ival-div: 9.0ms (11.3% of total)

ival-sqrt: 7.0ms (8.8% of total)

const: 4.0ms (5% of total)

ival-sin: 3.0ms (3.8% of total)

adjust: 2.0ms (2.5% of total)

ival-sub: 2.0ms (2.5% of total)

exact: 1.0ms (1.3% of total)

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

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

series237.0ms (2.5%)

Memory

28.2MiB live, 260.2MiB allocated

Counts

24 → 348

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
122.0ms	u1	@	0	((* (pow (pow (/ (- u1 1) u1) -2) 1/4) (sin (* 314159265359/50000000000 u2))) (pow (pow (/ (- u1 1) u1) -2) 1/4) (pow (/ (- u1 1) u1) -2) (/ (- u1 1) u1) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt u1) (sqrt (- 1 u1)) (* (sqrt (- 1 u1)) (sqrt (- 1 u1))) (* (sqrt (/ u1 (* (sqrt (- 1 u1)) (sqrt (- 1 u1))))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (* (sqrt (- 1 u1)) (sqrt (- 1 u1))))) (/ u1 (* (sqrt (- 1 u1)) (sqrt (- 1 u1)))) (* (* (pow (/ 1 u1) -1/2) (pow (- 1 u1) -1/2)) (sin (* 314159265359/50000000000 u2))) (* (pow (/ 1 u1) -1/2) (pow (- 1 u1) -1/2)) (pow (/ 1 u1) -1/2) (/ 1 u1) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (sin (* 314159265359/50000000000 u2)) (* u2 314159265359/50000000000))
31.0ms	u1	@	-inf	((* (pow (pow (/ (- u1 1) u1) -2) 1/4) (sin (* 314159265359/50000000000 u2))) (pow (pow (/ (- u1 1) u1) -2) 1/4) (pow (/ (- u1 1) u1) -2) (/ (- u1 1) u1) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt u1) (sqrt (- 1 u1)) (* (sqrt (- 1 u1)) (sqrt (- 1 u1))) (* (sqrt (/ u1 (* (sqrt (- 1 u1)) (sqrt (- 1 u1))))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (* (sqrt (- 1 u1)) (sqrt (- 1 u1))))) (/ u1 (* (sqrt (- 1 u1)) (sqrt (- 1 u1)))) (* (* (pow (/ 1 u1) -1/2) (pow (- 1 u1) -1/2)) (sin (* 314159265359/50000000000 u2))) (* (pow (/ 1 u1) -1/2) (pow (- 1 u1) -1/2)) (pow (/ 1 u1) -1/2) (/ 1 u1) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (sin (* 314159265359/50000000000 u2)) (* u2 314159265359/50000000000))
30.0ms	u2	@	inf	((* (pow (pow (/ (- u1 1) u1) -2) 1/4) (sin (* 314159265359/50000000000 u2))) (pow (pow (/ (- u1 1) u1) -2) 1/4) (pow (/ (- u1 1) u1) -2) (/ (- u1 1) u1) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt u1) (sqrt (- 1 u1)) (* (sqrt (- 1 u1)) (sqrt (- 1 u1))) (* (sqrt (/ u1 (* (sqrt (- 1 u1)) (sqrt (- 1 u1))))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (* (sqrt (- 1 u1)) (sqrt (- 1 u1))))) (/ u1 (* (sqrt (- 1 u1)) (sqrt (- 1 u1)))) (* (* (pow (/ 1 u1) -1/2) (pow (- 1 u1) -1/2)) (sin (* 314159265359/50000000000 u2))) (* (pow (/ 1 u1) -1/2) (pow (- 1 u1) -1/2)) (pow (/ 1 u1) -1/2) (/ 1 u1) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (sin (* 314159265359/50000000000 u2)) (* u2 314159265359/50000000000))
18.0ms	u1	@	inf	((* (pow (pow (/ (- u1 1) u1) -2) 1/4) (sin (* 314159265359/50000000000 u2))) (pow (pow (/ (- u1 1) u1) -2) 1/4) (pow (/ (- u1 1) u1) -2) (/ (- u1 1) u1) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt u1) (sqrt (- 1 u1)) (* (sqrt (- 1 u1)) (sqrt (- 1 u1))) (* (sqrt (/ u1 (* (sqrt (- 1 u1)) (sqrt (- 1 u1))))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (* (sqrt (- 1 u1)) (sqrt (- 1 u1))))) (/ u1 (* (sqrt (- 1 u1)) (sqrt (- 1 u1)))) (* (* (pow (/ 1 u1) -1/2) (pow (- 1 u1) -1/2)) (sin (* 314159265359/50000000000 u2))) (* (pow (/ 1 u1) -1/2) (pow (- 1 u1) -1/2)) (pow (/ 1 u1) -1/2) (/ 1 u1) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (sin (* 314159265359/50000000000 u2)) (* u2 314159265359/50000000000))
12.0ms	u2	@	-inf	((* (pow (pow (/ (- u1 1) u1) -2) 1/4) (sin (* 314159265359/50000000000 u2))) (pow (pow (/ (- u1 1) u1) -2) 1/4) (pow (/ (- u1 1) u1) -2) (/ (- u1 1) u1) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt u1) (sqrt (- 1 u1)) (* (sqrt (- 1 u1)) (sqrt (- 1 u1))) (* (sqrt (/ u1 (* (sqrt (- 1 u1)) (sqrt (- 1 u1))))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (* (sqrt (- 1 u1)) (sqrt (- 1 u1))))) (/ u1 (* (sqrt (- 1 u1)) (sqrt (- 1 u1)))) (* (* (pow (/ 1 u1) -1/2) (pow (- 1 u1) -1/2)) (sin (* 314159265359/50000000000 u2))) (* (pow (/ 1 u1) -1/2) (pow (- 1 u1) -1/2)) (pow (/ 1 u1) -1/2) (/ 1 u1) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (sin (* 314159265359/50000000000 u2)) (* u2 314159265359/50000000000))

simplify217.0ms (2.3%)

Memory

-20.7MiB live, 162.3MiB allocated

Algorithm

1×	egg-herbie

Rules

13 652×	`lower-fma.f64`
13 652×	`lower-fma.f32`
6 004×	`lower-*.f64`
6 004×	`lower-*.f32`
4 374×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	413	4691
1	1245	4279
2	3683	3899
0	8108	3734

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 346

Calls

Call 1

Inputs
(* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (pow u1 3)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* u1 (+ (* -1/2 (* (sqrt u1) (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ (sin (* 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)))))))))
(pow u1 2)
(* (pow u1 2) (+ 1 (* 2 u1)))
(* (pow u1 2) (+ 1 (* u1 (+ 2 (* 3 u1)))))
(* (pow u1 2) (+ 1 (* u1 (+ 2 (* u1 (+ 3 (* 4 u1)))))))
(/ -1 u1)
(/ (- u1 1) u1)
(/ (- u1 1) u1)
(/ (- u1 1) u1)
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
1
(+ 1 (* -1 u1))
(+ 1 (* -1 u1))
(+ 1 (* -1 u1))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 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)
1
(+ 1 (* -1/2 u1))
(+ 1 (* u1 (- (* -1/8 u1) 1/2)))
(+ 1 (* u1 (- (* u1 (- (* -1/16 u1) 1/8)) 1/2)))
1
(+ 1 (* -1 u1))
(+ 1 (* -1 u1))
(+ 1 (* -1 u1))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 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))))))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
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(* 314159265359/50000000000 u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* 314159265359/50000000000 u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* (sqrt (/ u1 (- u1 1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- u1 1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- u1 1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- u1 1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* (sqrt (/ u1 (- u1 1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- u1 1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- u1 1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- u1 1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)

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

rewrite210.0ms (2.2%)

Memory

3.3MiB live, 159.8MiB allocated

Rules

3 640×	`lower-*.f64`
3 628×	`lower-*.f32`
3 450×	`lower-fma.f64`
3 450×	`lower-fma.f32`
2 644×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	191
0	60	155
1	168	155
2	880	146
3	7493	146
0	8647	139

Stop Event

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

Counts

24 → 1 812

Calls

Call 1

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

Outputs
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eval402.0ms (4.3%)

Memory: -1.4MiB live, 494.3MiB allocated
Compiler: Compiled 61 073 to 7 128 computations (88.3% saved)

prune375.0ms (4%)

Memory

-91.5MiB live, 349.1MiB allocated

Pruning

60 alts after pruning (57 fresh and 3 done)

	Pruned	Kept	Total
New	2 915	48	2 963
Fresh	19	9	28
Picked	3	2	5
Done	0	1	1
Total	2 937	60	2 997

Accuracy

99.7%

Counts

2 997 → 60

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.2%	(/.f32 (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (pow.f32 u1 #s(literal -1/2 binary32)))
	81.5%	(/.f32 (/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (pow.f32 u1 #s(literal -1/2 binary32)))
	98.2%	(/.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	81.6%	(/.f32 (.f32 (sqrt.f32 u1) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	98.0%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
▶	81.5%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
	81.4%	(.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (/.f32 #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 u1 #s(literal -1/2 binary32))))
	72.1%	(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (-.f32 (log.f32 u1) (log1p.f32 u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	81.1%	(.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
	95.4%	(.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (neg.f32 (log.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	97.8%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	29.7%	(.f32 (/.f32 (.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	98.2%	(.f32 (/.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))))
	81.6%	(.f32 (/.f32 (.f32 (sqrt.f32 u1) #s(approx (sin (* 314159265359/50000000000 u2)) (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))))
	85.3%	(.f32 (/.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	81.5%	(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	98.2%	(.f32 (/.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
	96.1%	(.f32 (/.f32 (exp.f32 (.f32 (log.f32 (pow.f32 u1 #s(literal -2 binary32))) #s(literal -1/4 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	96.1%	(.f32 (/.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	81.6%	(.f32 (/.f32 #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (sqrt.f32 (/.f32 u1 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
	81.4%	(.f32 (/.f32 #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32))))
	81.6%	(.f32 (/.f32 #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
	81.2%	(.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) (sqrt.f32 u1)) (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
	81.2%	(.f32 (.f32 (pow.f32 u1 #s(literal 1/8 binary32)) (.f32 (pow.f32 u1 #s(literal 1/8 binary32)) (/.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	81.3%	(.f32 (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	81.3%	(.f32 (.f32 (.f32 (sqrt.f32 u1) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)))
	81.7%	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	97.7%	(.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))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	97.7%	(.f32 (.f32 (neg.f32 (sqrt.f32 u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	-0.0%	(.f32 (sqrt.f32 (fma.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	65.9%	(.f32 (sqrt.f32 (fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) u1 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	19.8%	(.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	81.5%	(.f32 (sqrt.f32 (/.f32 (/.f32 u1 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	81.6%	(.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	98.3%	(.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)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	31.3%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	74.6%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
✓	98.4%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	81.8%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
	81.8%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
✓	81.8%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	65.9%	(.f32 (sqrt.f32 (/.f32 u1 (.f32 (-.f32 u1 #s(literal -1 binary32)) (/.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
✓	98.3%	(.f32 (sqrt.f32 (/.f32 u1 (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	98.4%	(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	9.6%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	98.2%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	81.6%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	73.9%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1)) (-.f32 u1 #s(literal -1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
▶	98.3%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	81.6%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	81.7%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	98.4%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (.f32 u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	81.7%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (.f32 u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	74.0%	(.f32 (sqrt.f32 (.f32 (neg.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (-.f32 u1 #s(literal -1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	65.7%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	81.4%	(.f32 (neg.f32 (sqrt.f32 u1)) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
	75.0%	(.f32 #s(approx (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	65.7%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	20.2%	#s(approx (* (pow (pow (/ (- u1 1) u1) -2) 1/4) (sin (* 314159265359/50000000000 u2))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	81.7%	#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2))

Compiler

Compiled 1 889 to 1 641 computations (13.1% saved)

simplify14.0ms (0.2%)

Memory

-26.0MiB live, 12.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
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	0	(/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
cost-diff	160	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	0	(/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))
cost-diff	0	(sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1))
cost-diff	0	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	160	(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)
cost-diff	0	(.f32 (sqrt.f32 u1) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
cost-diff	0	(-.f32 #s(literal 1 binary32) u1)
cost-diff	0	(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
cost-diff	544	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
cost-diff	0	#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
cost-diff	0	(sqrt.f32 u1)
cost-diff	0	#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
cost-diff	0	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
cost-diff	0	(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
cost-diff	0	(sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))
cost-diff	0	(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	352	(/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))

Rules

160×	`lower-*.f64`
146×	`lower-*.f32`
90×	`lower-/.f64`
74×	`lower-/.f32`
68×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	266
0	60	266
1	85	260
2	119	256
3	166	250
4	253	250
5	290	250
6	314	250
7	347	250
8	373	250
9	380	250
0	380	250

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize91.0ms (1%)

Memory

5.2MiB live, 158.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.2265625	(/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
accuracy	0.265625	(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
accuracy	0.33984375	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.34765625	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.16891603226728336	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy	0.27734375	(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)
accuracy	0.33984375	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.34765625	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.2890625	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
accuracy	0.33041000976844204	(.f32 (sqrt.f32 u1) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
accuracy	0.34765625	(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
accuracy	5.652018567210352	#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
accuracy	0.33984375	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
accuracy	0.34765625	(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
accuracy	5.652018567210352	#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
accuracy	7.911204291329108	#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
accuracy	0.16891603226728336	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy	0.2421875	(/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
accuracy	0.33984375	(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.34765625	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Samples

66.0ms

256×

valid

Compiler

Compiled 238 to 34 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-div: 18.0ms (36.5% of total)

ival-mult: 11.0ms (22.3% of total)

ival-sqrt: 10.0ms (20.3% of total)

ival-sin: 3.0ms (6.1% of total)

const: 3.0ms (6.1% of total)

ival-sub: 2.0ms (4.1% of total)

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

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

exact: 0.0ms (0% of total)

series28.0ms (0.3%)

Memory

20.1MiB live, 58.4MiB allocated

Counts

23 → 348

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	u1	@	-inf	((/ -1 (/ (- u1 1) u1)) (* (sqrt (/ -1 (/ (- u1 1) u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ -1 (/ (- u1 1) u1))) (/ (- u1 1) u1) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (sin (* 314159265359/50000000000 u2)) (/ 1 (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))) (sqrt (- 1 u1)) (- 1 u1) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (/ -1 (- u1 1)) u1) (* (sqrt (* (/ -1 (- u1 1)) u1)) (sin (* 314159265359/50000000000 u2))) (sqrt (* (/ -1 (- u1 1)) u1)) (/ -1 (- u1 1)) (* (/ (/ 1 (sqrt (/ 1 u1))) (sqrt (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/ (/ 1 (sqrt (/ 1 u1))) (sqrt (- 1 u1))) (/ 1 (sqrt (/ 1 u1))) (sqrt (/ 1 u1)) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (* u2 314159265359/50000000000))
2.0ms	u1	@	0	((/ -1 (/ (- u1 1) u1)) (* (sqrt (/ -1 (/ (- u1 1) u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ -1 (/ (- u1 1) u1))) (/ (- u1 1) u1) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (sin (* 314159265359/50000000000 u2)) (/ 1 (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))) (sqrt (- 1 u1)) (- 1 u1) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (/ -1 (- u1 1)) u1) (* (sqrt (* (/ -1 (- u1 1)) u1)) (sin (* 314159265359/50000000000 u2))) (sqrt (* (/ -1 (- u1 1)) u1)) (/ -1 (- u1 1)) (* (/ (/ 1 (sqrt (/ 1 u1))) (sqrt (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/ (/ 1 (sqrt (/ 1 u1))) (sqrt (- 1 u1))) (/ 1 (sqrt (/ 1 u1))) (sqrt (/ 1 u1)) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (* u2 314159265359/50000000000))
2.0ms	u2	@	-inf	((/ -1 (/ (- u1 1) u1)) (* (sqrt (/ -1 (/ (- u1 1) u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ -1 (/ (- u1 1) u1))) (/ (- u1 1) u1) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (sin (* 314159265359/50000000000 u2)) (/ 1 (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))) (sqrt (- 1 u1)) (- 1 u1) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (/ -1 (- u1 1)) u1) (* (sqrt (* (/ -1 (- u1 1)) u1)) (sin (* 314159265359/50000000000 u2))) (sqrt (* (/ -1 (- u1 1)) u1)) (/ -1 (- u1 1)) (* (/ (/ 1 (sqrt (/ 1 u1))) (sqrt (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/ (/ 1 (sqrt (/ 1 u1))) (sqrt (- 1 u1))) (/ 1 (sqrt (/ 1 u1))) (sqrt (/ 1 u1)) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (* u2 314159265359/50000000000))
2.0ms	u1	@	inf	((/ -1 (/ (- u1 1) u1)) (* (sqrt (/ -1 (/ (- u1 1) u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ -1 (/ (- u1 1) u1))) (/ (- u1 1) u1) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (sin (* 314159265359/50000000000 u2)) (/ 1 (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))) (sqrt (- 1 u1)) (- 1 u1) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (/ -1 (- u1 1)) u1) (* (sqrt (* (/ -1 (- u1 1)) u1)) (sin (* 314159265359/50000000000 u2))) (sqrt (* (/ -1 (- u1 1)) u1)) (/ -1 (- u1 1)) (* (/ (/ 1 (sqrt (/ 1 u1))) (sqrt (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/ (/ 1 (sqrt (/ 1 u1))) (sqrt (- 1 u1))) (/ 1 (sqrt (/ 1 u1))) (sqrt (/ 1 u1)) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (* u2 314159265359/50000000000))
2.0ms	u2	@	inf	((/ -1 (/ (- u1 1) u1)) (* (sqrt (/ -1 (/ (- u1 1) u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ -1 (/ (- u1 1) u1))) (/ (- u1 1) u1) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (sin (* 314159265359/50000000000 u2)) (/ 1 (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))) (sqrt (- 1 u1)) (- 1 u1) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (/ -1 (- u1 1)) u1) (* (sqrt (* (/ -1 (- u1 1)) u1)) (sin (* 314159265359/50000000000 u2))) (sqrt (* (/ -1 (- u1 1)) u1)) (/ -1 (- u1 1)) (* (/ (/ 1 (sqrt (/ 1 u1))) (sqrt (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/ (/ 1 (sqrt (/ 1 u1))) (sqrt (- 1 u1))) (/ 1 (sqrt (/ 1 u1))) (sqrt (/ 1 u1)) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (* u2 314159265359/50000000000))

simplify228.0ms (2.4%)

Memory

-2.4MiB live, 305.3MiB allocated

Algorithm

1×	egg-herbie

Rules

15 348×	`lower-fma.f64`
15 348×	`lower-fma.f32`
6 372×	`lower-*.f64`
6 372×	`lower-*.f32`
4 524×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	408	4896
1	1251	4497
2	3910	4032
0	8419	3871

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 346

Calls

Call 1

Inputs
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/2 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt u1)) (* -1/2 (sqrt (/ 1 u1))))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))))))))))
(/ -1 u1)
(/ (- u1 1) u1)
(/ (- u1 1) u1)
(/ (- u1 1) u1)
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 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) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
1
(+ 1 (* -1/2 u1))
(+ 1 (* u1 (- (* -1/8 u1) 1/2)))
(+ 1 (* u1 (- (* u1 (- (* -1/16 u1) 1/8)) 1/2)))
1
(+ 1 (* -1 u1))
(+ 1 (* -1 u1))
(+ 1 (* -1 u1))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/2 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt u1)) (* -1/2 (sqrt (/ 1 u1))))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))))))))))
1
(+ 1 u1)
(+ 1 (* u1 (+ 1 u1)))
(+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 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 (/ 1 u1))
(sqrt (/ 1 u1))
(sqrt (/ 1 u1))
(sqrt (/ 1 u1))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* 3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 3))) (+ (* 3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1))))
(+ (sqrt -1) (+ (* 5/16 (/ (sqrt -1) (pow u1 3))) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1)))))
1
(- 1 (/ 1 u1))
(- 1 (/ 1 u1))
(- 1 (/ 1 u1))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 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)
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* (sqrt u1) (sqrt -1))
(* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(* u1 (- (/ 1 u1) 1))
(* u1 (- (/ 1 u1) 1))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* 3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 3))) (+ (* 3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1))))
(+ (sqrt -1) (+ (* 5/16 (/ (sqrt -1) (pow u1 3))) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1)))))
(/ -1 u1)
(* -1 (/ (+ 1 (/ 1 u1)) u1))
(/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1)
(/ (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) u1)
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 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)
(sqrt (/ 1 u1))
(sqrt (/ 1 u1))
(sqrt (/ 1 u1))
(sqrt (/ 1 u1))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
1
(- 1 (/ 1 u1))
(- 1 (/ 1 u1))
(- 1 (/ 1 u1))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 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)))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (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 u1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(* -1 (* u1 (- 1 (/ 1 u1))))
(* -1 (* u1 (- 1 (/ 1 u1))))
(* -1 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 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 u1)
(* -1 (/ (+ 1 (/ 1 u1)) u1))
(* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1))) u1))
(/ (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1))))) u1)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* 3/8 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(/ 1 (sqrt -1))
(+ (/ 1 (sqrt -1)) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(+ (/ 3/8 (* (pow u1 2) (sqrt -1))) (+ (/ 1/2 (* u1 (sqrt -1))) (/ 1 (sqrt -1))))
(+ (* -1 (/ (- (* -1 (/ (+ (* 3/8 (/ 1 (sqrt -1))) (* 5/16 (/ 1 (* u1 (sqrt -1))))) u1)) (* 1/2 (/ 1 (sqrt -1)))) u1)) (/ 1 (sqrt -1)))
(* -1 (sqrt u1))
(* -1 (sqrt u1))
(* -1 (sqrt u1))
(* -1 (sqrt u1))
(* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- u1 1))) (* u2 (sqrt -1))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1)))) (* 314159265359/50000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1)))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1))))))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1)))))))))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(* 314159265359/50000000000 u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 314159265359/50000000000 (sqrt u1))))
(* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt u1)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt u1)) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1))))))))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- u1 1))) (* u2 (sqrt -1))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1)))) (* 314159265359/50000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1)))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1))))))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1)))))))))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 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)
(* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(.f32 (neg.f32 (sqrt.f32 u1)) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(+ (* -1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/2 binary32) (neg.f32 (sqrt.f32 u1))))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(fma.f32 (.f32 (sin.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 (neg.f32 (sqrt.f32 u1)) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
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(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
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(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
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(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
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(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
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(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
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(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
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(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
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(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
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(* 314159265359/50000000000 (* (sqrt u1) u2))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2)
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 314159265359/50000000000 (sqrt u1))))
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(* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt u1)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2)))))))
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(* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt u1)) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1))))))))
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(* 314159265359/50000000000 (* (sqrt (/ u1 (- u1 1))) (* u2 (sqrt -1))))
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(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1)))) (* 314159265359/50000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1)))))
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(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1))))))))
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(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1)))))))))
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(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
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(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
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(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
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(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
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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))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
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(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
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(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
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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 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
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(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.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))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.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))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sin (* 314159265359/50000000000 u2))
(sin.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))

rewrite156.0ms (1.7%)

Memory

9.3MiB live, 256.8MiB allocated

Rules

3 450×	`lower-*.f64`
3 438×	`lower-*.f32`
3 280×	`lower-/.f64`
3 264×	`lower-/.f32`
2 022×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	186
0	60	176
1	173	156
2	960	156
3	7578	156
0	8609	152

Stop Event

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

Counts

23 → 1 399

Calls

Call 1

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

Outputs
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eval278.0ms (3%)

Memory: 33.5MiB live, 371.4MiB allocated
Compiler: Compiled 39 747 to 4 551 computations (88.6% saved)

prune134.0ms (1.4%)

Memory

-30.1MiB live, 314.1MiB allocated

Pruning

72 alts after pruning (66 fresh and 6 done)

	Pruned	Kept	Total
New	2 022	30	2 052
Fresh	16	36	52
Picked	1	4	5
Done	1	2	3
Total	2 040	72	2 112

Accuracy

99.7%

Counts

2 112 → 72

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.2%	(/.f32 (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (pow.f32 u1 #s(literal -1/2 binary32)))
	98.0%	(/.f32 (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)))
	81.5%	(/.f32 (/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (pow.f32 u1 #s(literal -1/2 binary32)))
	81.4%	(/.f32 (/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)))
	81.2%	(/.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
	98.2%	(/.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	81.6%	(/.f32 (.f32 (sqrt.f32 u1) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	81.6%	(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
	81.5%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))))) (.f32 (sqrt.f32 u1) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
	73.9%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))) (.f32 (sqrt.f32 u1) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
	98.0%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
	81.5%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))))
	81.5%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) #s(approx (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2))))
	65.7%	(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (sqrt (- 1 u1)) #s(literal 1 binary32)) (.f32 (sqrt.f32 u1) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
	81.4%	(.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (/.f32 #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 u1 #s(literal -1/2 binary32))))
	72.1%	(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (-.f32 (log.f32 u1) (log1p.f32 u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	95.4%	(.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (neg.f32 (log.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	97.8%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	81.3%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
	81.3%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	74.9%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) #s(approx (sqrt (- 1 u1)) #s(literal 1 binary32))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	29.7%	(.f32 (/.f32 (.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	98.2%	(.f32 (/.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))))
	81.6%	(.f32 (/.f32 (.f32 (sqrt.f32 u1) #s(approx (sin (* 314159265359/50000000000 u2)) (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))))
	85.3%	(.f32 (/.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	81.5%	(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	98.2%	(.f32 (/.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
	96.1%	(.f32 (/.f32 (exp.f32 (.f32 (log.f32 (pow.f32 u1 #s(literal -2 binary32))) #s(literal -1/4 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	81.6%	(.f32 (/.f32 #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (sqrt.f32 (/.f32 u1 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
	81.6%	(.f32 (/.f32 #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
	97.7%	(.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (.f32 (neg.f32 (sqrt.f32 u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
▶	81.3%	(.f32 (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (neg.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
	81.4%	(.f32 (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) (sqrt.f32 u1))
	97.7%	(.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))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	-0.0%	(.f32 (sqrt.f32 (fma.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	65.9%	(.f32 (sqrt.f32 (fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) u1 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	98.3%	(.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)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.3%	(.f32 (sqrt.f32 (/.f32 (.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	31.3%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	74.6%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
✓	98.4%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	81.8%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
	81.8%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
✓	81.8%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	65.9%	(.f32 (sqrt.f32 (/.f32 u1 (.f32 (-.f32 u1 #s(literal -1 binary32)) (/.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
✓	98.4%	(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	81.7%	(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	98.4%	(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.3%	(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal -1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.2%	(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) u1)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.2%	(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (.f32 (.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (.f32 (neg.f32 u1) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	74.9%	(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) #s(approx (/ (- u1 1) u1) (/.f32 #s(literal -1 binary32) u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	9.6%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	81.6%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	73.9%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1)) (-.f32 u1 #s(literal -1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
✓	98.3%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	81.6%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	81.7%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
▶	98.4%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (.f32 u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	81.7%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (.f32 u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	74.0%	(.f32 (sqrt.f32 (.f32 (neg.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (-.f32 u1 #s(literal -1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	86.4%	(.f32 (sqrt.f32 (.f32 #s(approx (/ -1 (- u1 1)) (+.f32 #s(literal 1 binary32) u1)) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	65.7%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	96.3%	(.f32 (exp.f32 (.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	75.0%	(.f32 #s(approx (/ (/ 1 (sqrt (/ 1 u1))) (sqrt (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	65.7%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	65.6%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	65.7%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
	65.7%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
✓	65.7%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	81.7%	#s(approx (/ 1 (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2))
	20.2%	#s(approx (* (pow (pow (/ (- u1 1) u1) -2) 1/4) (sin (* 314159265359/50000000000 u2))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))

Compiler

Compiled 2 228 to 1 957 computations (12.2% saved)

simplify220.0ms (2.3%)

Memory

-11.2MiB live, 299.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
cost-diff	0	#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
cost-diff	0	(/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32)))
cost-diff	0	(.f32 (/.f32 #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (sqrt.f32 (/.f32 u1 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
cost-diff	0	(/.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))))
cost-diff	0	(sqrt.f32 (/.f32 u1 (/.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))))))
cost-diff	0	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
cost-diff	192	(/.f32 u1 (/.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))
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	96	(*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
cost-diff	128	(.f32 (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (neg.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
cost-diff	0	(fma.f32 u1 u1 u1)
cost-diff	0	#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))
cost-diff	0	(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)))
cost-diff	0	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
cost-diff	0	(/.f32 #s(literal -1 binary32) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
cost-diff	0	(sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (*.f32 u1 u1)))
cost-diff	0	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (.f32 u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	480	(.f32 (/.f32 #s(literal -1 binary32) (.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (*.f32 u1 u1))

Rules

35 168×	`lower-fma.f64`
35 164×	`lower-fma.f32`
3 754×	`lower-*.f64`
3 730×	`lower-*.f32`
2 168×	`lower-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	394
0	80	394
1	120	389
2	223	389
3	483	372
4	967	372
5	3023	372
6	6590	372
0	8131	372

Stop Event

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

Calls

Call 1

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

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

localize224.0ms (2.4%)

Memory

-1.3MiB live, 351.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.19921875	(/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32)))
accuracy	0.32650375976844204	(.f32 (/.f32 #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (sqrt.f32 (/.f32 u1 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
accuracy	0.33984375	(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
accuracy	5.576729085234164	#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
accuracy	0.33984375	(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
accuracy	0.352226269536884	(/.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))))
accuracy	4.016014889232932	(fma.f32 u1 u1 #s(literal -1 binary32))
accuracy	5.576729085234164	#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
accuracy	0.29525375976844204	(*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
accuracy	0.33203125	(.f32 (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (neg.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
accuracy	0.33984375	(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
accuracy	5.576729085234164	#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
accuracy	0.33984375	(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
accuracy	3.861059971688874	#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))
accuracy	5.576729085234164	#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
accuracy	7.928214455855693	(fma.f32 u1 u1 u1)
accuracy	0.18359375	(/.f32 #s(literal -1 binary32) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
accuracy	0.296875	(.f32 (/.f32 #s(literal -1 binary32) (.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (*.f32 u1 u1))
accuracy	0.33203125	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (.f32 u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.33984375	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Samples

138.0ms	249×	0	valid
9.0ms	7×	5	exit

Compiler

Compiled 349 to 44 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 107.0ms

ival-div: 52.0ms (48.6% of total)

ival-mult: 20.0ms (18.7% of total)

ival-sqrt: 13.0ms (12.1% of total)

ival-pow: 6.0ms (5.6% of total)

ival-sub: 4.0ms (3.7% of total)

const: 4.0ms (3.7% of total)

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

adjust: 2.0ms (1.9% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series111.0ms (1.2%)

Memory

28.2MiB live, 267.1MiB allocated

Counts

22 → 336

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
59.0ms	u2	@	inf	((* (/ -1 (* (- u1 1) u1)) (* u1 u1)) (* (sqrt (* (/ -1 (* (- u1 1) u1)) (* u1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (* (/ -1 (* (- u1 1) u1)) (* u1 u1))) (/ -1 (* (- u1 1) u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* u1 u1) u1) (* (* (/ -1 (sqrt (- 1 u1))) (sqrt u1)) (neg (sin (* 314159265359/50000000000 u2)))) (* (/ -1 (sqrt (- 1 u1))) (sqrt u1)) (/ -1 (sqrt (- 1 u1))) (sqrt (- 1 u1)) (/ u1 (/ (sqrt (* (+ (* u1 u1) -1) (- u1 1))) (sqrt (- u1 -1)))) (* (sqrt (/ u1 (/ (sqrt (* (+ (* u1 u1) -1) (- u1 1))) (sqrt (- u1 -1))))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (sqrt (* (+ (* u1 u1) -1) (- u1 1))) (sqrt (- u1 -1))))) (/ (sqrt (* (+ (* u1 u1) -1) (- u1 1))) (sqrt (- u1 -1))) (* (/ (sin (* 314159265359/50000000000 u2)) (pow (- 1 u1) 1/4)) (sqrt (/ u1 (sqrt (- 1 u1))))) (/ (sin (* 314159265359/50000000000 u2)) (pow (- 1 u1) 1/4)) (sin (* 314159265359/50000000000 u2)) (* u2 314159265359/50000000000) (* 314159265359/50000000000 u2) (+ (* u1 u1) -1))
19.0ms	u2	@	-inf	((* (/ -1 (* (- u1 1) u1)) (* u1 u1)) (* (sqrt (* (/ -1 (* (- u1 1) u1)) (* u1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (* (/ -1 (* (- u1 1) u1)) (* u1 u1))) (/ -1 (* (- u1 1) u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* u1 u1) u1) (* (* (/ -1 (sqrt (- 1 u1))) (sqrt u1)) (neg (sin (* 314159265359/50000000000 u2)))) (* (/ -1 (sqrt (- 1 u1))) (sqrt u1)) (/ -1 (sqrt (- 1 u1))) (sqrt (- 1 u1)) (/ u1 (/ (sqrt (* (+ (* u1 u1) -1) (- u1 1))) (sqrt (- u1 -1)))) (* (sqrt (/ u1 (/ (sqrt (* (+ (* u1 u1) -1) (- u1 1))) (sqrt (- u1 -1))))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (sqrt (* (+ (* u1 u1) -1) (- u1 1))) (sqrt (- u1 -1))))) (/ (sqrt (* (+ (* u1 u1) -1) (- u1 1))) (sqrt (- u1 -1))) (* (/ (sin (* 314159265359/50000000000 u2)) (pow (- 1 u1) 1/4)) (sqrt (/ u1 (sqrt (- 1 u1))))) (/ (sin (* 314159265359/50000000000 u2)) (pow (- 1 u1) 1/4)) (sin (* 314159265359/50000000000 u2)) (* u2 314159265359/50000000000) (* 314159265359/50000000000 u2) (+ (* u1 u1) -1))
5.0ms	u1	@	-inf	((* (/ -1 (* (- u1 1) u1)) (* u1 u1)) (* (sqrt (* (/ -1 (* (- u1 1) u1)) (* u1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (* (/ -1 (* (- u1 1) u1)) (* u1 u1))) (/ -1 (* (- u1 1) u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* u1 u1) u1) (* (* (/ -1 (sqrt (- 1 u1))) (sqrt u1)) (neg (sin (* 314159265359/50000000000 u2)))) (* (/ -1 (sqrt (- 1 u1))) (sqrt u1)) (/ -1 (sqrt (- 1 u1))) (sqrt (- 1 u1)) (/ u1 (/ (sqrt (* (+ (* u1 u1) -1) (- u1 1))) (sqrt (- u1 -1)))) (* (sqrt (/ u1 (/ (sqrt (* (+ (* u1 u1) -1) (- u1 1))) (sqrt (- u1 -1))))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (sqrt (* (+ (* u1 u1) -1) (- u1 1))) (sqrt (- u1 -1))))) (/ (sqrt (* (+ (* u1 u1) -1) (- u1 1))) (sqrt (- u1 -1))) (* (/ (sin (* 314159265359/50000000000 u2)) (pow (- 1 u1) 1/4)) (sqrt (/ u1 (sqrt (- 1 u1))))) (/ (sin (* 314159265359/50000000000 u2)) (pow (- 1 u1) 1/4)) (sin (* 314159265359/50000000000 u2)) (* u2 314159265359/50000000000) (* 314159265359/50000000000 u2) (+ (* u1 u1) -1))
4.0ms	u2	@	0	((* (/ -1 (* (- u1 1) u1)) (* u1 u1)) (* (sqrt (* (/ -1 (* (- u1 1) u1)) (* u1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (* (/ -1 (* (- u1 1) u1)) (* u1 u1))) (/ -1 (* (- u1 1) u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* u1 u1) u1) (* (* (/ -1 (sqrt (- 1 u1))) (sqrt u1)) (neg (sin (* 314159265359/50000000000 u2)))) (* (/ -1 (sqrt (- 1 u1))) (sqrt u1)) (/ -1 (sqrt (- 1 u1))) (sqrt (- 1 u1)) (/ u1 (/ (sqrt (* (+ (* u1 u1) -1) (- u1 1))) (sqrt (- u1 -1)))) (* (sqrt (/ u1 (/ (sqrt (* (+ (* u1 u1) -1) (- u1 1))) (sqrt (- u1 -1))))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (sqrt (* (+ (* u1 u1) -1) (- u1 1))) (sqrt (- u1 -1))))) (/ (sqrt (* (+ (* u1 u1) -1) (- u1 1))) (sqrt (- u1 -1))) (* (/ (sin (* 314159265359/50000000000 u2)) (pow (- 1 u1) 1/4)) (sqrt (/ u1 (sqrt (- 1 u1))))) (/ (sin (* 314159265359/50000000000 u2)) (pow (- 1 u1) 1/4)) (sin (* 314159265359/50000000000 u2)) (* u2 314159265359/50000000000) (* 314159265359/50000000000 u2) (+ (* u1 u1) -1))
4.0ms	u1	@	inf	((* (/ -1 (* (- u1 1) u1)) (* u1 u1)) (* (sqrt (* (/ -1 (* (- u1 1) u1)) (* u1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (* (/ -1 (* (- u1 1) u1)) (* u1 u1))) (/ -1 (* (- u1 1) u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* u1 u1) u1) (* (* (/ -1 (sqrt (- 1 u1))) (sqrt u1)) (neg (sin (* 314159265359/50000000000 u2)))) (* (/ -1 (sqrt (- 1 u1))) (sqrt u1)) (/ -1 (sqrt (- 1 u1))) (sqrt (- 1 u1)) (/ u1 (/ (sqrt (* (+ (* u1 u1) -1) (- u1 1))) (sqrt (- u1 -1)))) (* (sqrt (/ u1 (/ (sqrt (* (+ (* u1 u1) -1) (- u1 1))) (sqrt (- u1 -1))))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (sqrt (* (+ (* u1 u1) -1) (- u1 1))) (sqrt (- u1 -1))))) (/ (sqrt (* (+ (* u1 u1) -1) (- u1 1))) (sqrt (- u1 -1))) (* (/ (sin (* 314159265359/50000000000 u2)) (pow (- 1 u1) 1/4)) (sqrt (/ u1 (sqrt (- 1 u1))))) (/ (sin (* 314159265359/50000000000 u2)) (pow (- 1 u1) 1/4)) (sin (* 314159265359/50000000000 u2)) (* u2 314159265359/50000000000) (* 314159265359/50000000000 u2) (+ (* u1 u1) -1))

simplify232.0ms (2.5%)

Memory

21.7MiB live, 286.5MiB allocated

Algorithm

1×	egg-herbie

Rules

11 030×	`lower-fma.f64`
11 030×	`lower-fma.f32`
7 296×	`lower-*.f64`
7 296×	`lower-*.f32`
3 410×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	708	6071
1	2199	5488
2	7028	5402
0	8569	5156

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 331

Calls

Call 1

Inputs
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/2 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt u1)) (* -1/2 (sqrt (/ 1 u1))))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))))))))))
(/ 1 u1)
(/ (+ 1 u1) u1)
(/ (+ 1 (* u1 (+ 1 u1))) u1)
(/ (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))) u1)
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
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(* -1 (* u1 (+ (* 1/2 (* (sqrt (/ (pow (sqrt -1) 3) (pow u1 3))) (* (exp (* 1/4 (+ (log -1) (* 2 (log (/ -1 u1)))))) (sin (* 314159265359/50000000000 u2))))) (* (sqrt (/ (pow (sqrt -1) 3) u1)) (* (exp (* 1/4 (+ (log -1) (* 2 (log (/ -1 u1)))))) (sin (* 314159265359/50000000000 u2)))))))
(* -1 (* u1 (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow (sqrt -1) 3) u1)) (* (exp (* 1/4 (+ (log -1) (* 2 (log (/ -1 u1)))))) (sin (* 314159265359/50000000000 u2))))) (* -3/8 (* (sqrt (/ (pow (sqrt -1) 3) (pow u1 3))) (* (exp (* 1/4 (+ (log -1) (* 2 (log (/ -1 u1)))))) (sin (* 314159265359/50000000000 u2)))))) u1)) (* (sqrt (/ (pow (sqrt -1) 3) u1)) (* (exp (* 1/4 (+ (log -1) (* 2 (log (/ -1 u1)))))) (sin (* 314159265359/50000000000 u2)))))))
(* -1 (* u1 (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (* (sqrt (/ (pow (sqrt -1) 3) (pow u1 3))) (* (exp (* 1/4 (+ (log -1) (* 2 (log (/ -1 u1)))))) (sin (* 314159265359/50000000000 u2))))) (* 3/8 (* (sqrt (/ (pow (sqrt -1) 3) u1)) (* (exp (* 1/4 (+ (log -1) (* 2 (log (/ -1 u1)))))) (sin (* 314159265359/50000000000 u2)))))) u1)) (* -1/2 (* (sqrt (/ (pow (sqrt -1) 3) u1)) (* (exp (* 1/4 (+ (log -1) (* 2 (log (/ -1 u1)))))) (sin (* 314159265359/50000000000 u2)))))) u1)) (* (sqrt (/ (pow (sqrt -1) 3) u1)) (* (exp (* 1/4 (+ (log -1) (* 2 (log (/ -1 u1)))))) (sin (* 314159265359/50000000000 u2)))))))
(* -1 (* (sqrt (* u1 (pow (sqrt -1) 3))) (exp (* 1/4 (+ (log -1) (* 2 (log (/ -1 u1))))))))
(* -1 (* u1 (+ (* 1/2 (* (sqrt (/ (pow (sqrt -1) 3) (pow u1 3))) (exp (* 1/4 (+ (log -1) (* 2 (log (/ -1 u1)))))))) (* (sqrt (/ (pow (sqrt -1) 3) u1)) (exp (* 1/4 (+ (log -1) (* 2 (log (/ -1 u1))))))))))
(* -1 (* u1 (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow (sqrt -1) 3) u1)) (exp (* 1/4 (+ (log -1) (* 2 (log (/ -1 u1)))))))) (* -3/8 (* (sqrt (/ (pow (sqrt -1) 3) (pow u1 3))) (exp (* 1/4 (+ (log -1) (* 2 (log (/ -1 u1))))))))) u1)) (* (sqrt (/ (pow (sqrt -1) 3) u1)) (exp (* 1/4 (+ (log -1) (* 2 (log (/ -1 u1))))))))))
(* -1 (* u1 (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (* (sqrt (/ (pow (sqrt -1) 3) (pow u1 3))) (exp (* 1/4 (+ (log -1) (* 2 (log (/ -1 u1)))))))) (* 3/8 (* (sqrt (/ (pow (sqrt -1) 3) u1)) (exp (* 1/4 (+ (log -1) (* 2 (log (/ -1 u1))))))))) u1)) (* -1/2 (* (sqrt (/ (pow (sqrt -1) 3) u1)) (exp (* 1/4 (+ (log -1) (* 2 (log (/ -1 u1))))))))) u1)) (* (sqrt (/ (pow (sqrt -1) 3) u1)) (exp (* 1/4 (+ (log -1) (* 2 (log (/ -1 u1))))))))))
(* -1 (* u1 (pow (sqrt -1) 2)))
(* -1 (* u1 (+ (/ 1 u1) (pow (sqrt -1) 2))))
(* -1 (* u1 (+ (* -1 (/ (- (* 1/2 (/ (+ 1 (/ 1 (pow (sqrt -1) 2))) u1)) 1) u1)) (pow (sqrt -1) 2))))
(* -1 (* u1 (+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (/ (+ (/ 1 (pow (sqrt -1) 2)) (/ 1 (pow (sqrt -1) 4))) u1))) u1)) 1) u1)) (pow (sqrt -1) 2))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (pow (/ -1 u1) 1/4) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/4 (* (pow (/ -1 (pow u1 5)) 1/4) (sin (* 314159265359/50000000000 u2)))) (* (pow (/ -1 u1) 1/4) (sin (* 314159265359/50000000000 u2))))
(+ (* -1 (/ (+ (* -1/4 (* (pow (/ -1 u1) 1/4) (sin (* 314159265359/50000000000 u2)))) (* -5/32 (* (pow (/ -1 (pow u1 5)) 1/4) (sin (* 314159265359/50000000000 u2))))) u1)) (* (pow (/ -1 u1) 1/4) (sin (* 314159265359/50000000000 u2))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 15/128 (* (pow (/ -1 (pow u1 5)) 1/4) (sin (* 314159265359/50000000000 u2)))) (* 5/32 (* (pow (/ -1 u1) 1/4) (sin (* 314159265359/50000000000 u2))))) u1)) (* -1/4 (* (pow (/ -1 u1) 1/4) (sin (* 314159265359/50000000000 u2))))) u1)) (* (pow (/ -1 u1) 1/4) (sin (* 314159265359/50000000000 u2))))
(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))))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- u1 1))) (* u2 (sqrt -1))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1)))) (* 314159265359/50000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1)))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1))))))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1)))))))))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(* 314159265359/50000000000 (* (pow (/ (* 1 (+ 1 u1)) (* (- u1 1) (- (pow u1 2) 1))) 1/4) (* (sqrt u1) u2)))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow (/ (* 1 (+ 1 u1)) (* (- u1 1) (- (pow u1 2) 1))) 1/4) (* (sqrt u1) (pow u2 2)))) (* 314159265359/50000000000 (* (pow (/ (* 1 (+ 1 u1)) (* (- u1 1) (- (pow u1 2) 1))) 1/4) (sqrt u1)))))
(* u2 (+ (* 314159265359/50000000000 (* (pow (/ (* 1 (+ 1 u1)) (* (- u1 1) (- (pow u1 2) 1))) 1/4) (sqrt u1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow (/ (* 1 (+ 1 u1)) (* (- u1 1) (- (pow u1 2) 1))) 1/4) (sqrt u1))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow (/ (* 1 (+ 1 u1)) (* (- u1 1) (- (pow u1 2) 1))) 1/4) (* (sqrt u1) (pow u2 2))))))))
(* u2 (+ (* 314159265359/50000000000 (* (pow (/ (* 1 (+ 1 u1)) (* (- u1 1) (- (pow u1 2) 1))) 1/4) (sqrt u1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow (/ (* 1 (+ 1 u1)) (* (- u1 1) (- (pow u1 2) 1))) 1/4) (sqrt u1))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow (/ (* 1 (+ 1 u1)) (* (- u1 1) (- (pow u1 2) 1))) 1/4) (* (sqrt u1) (pow u2 2)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow (/ (* 1 (+ 1 u1)) (* (- u1 1) (- (pow u1 2) 1))) 1/4) (sqrt u1)))))))))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(* 314159265359/50000000000 (* (pow (/ 1 (- 1 u1)) 1/4) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow (/ 1 (- 1 u1)) 1/4) (pow u2 2))) (* 314159265359/50000000000 (pow (/ 1 (- 1 u1)) 1/4))))
(* u2 (+ (* 314159265359/50000000000 (pow (/ 1 (- 1 u1)) 1/4)) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow (/ 1 (- 1 u1)) 1/4)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow (/ 1 (- 1 u1)) 1/4) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (pow (/ 1 (- 1 u1)) 1/4)) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow (/ 1 (- 1 u1)) 1/4)) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow (/ 1 (- 1 u1)) 1/4) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow (/ 1 (- 1 u1)) 1/4))))))))
(* 314159265359/50000000000 u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (pow (/ (* 1 (+ 1 u1)) (* (- u1 1) (- (pow u1 2) 1))) 1/4) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(* (pow (/ (* 1 (+ 1 u1)) (* (- u1 1) (- (pow u1 2) 1))) 1/4) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(* (pow (/ (* 1 (+ 1 u1)) (* (- u1 1) (- (pow u1 2) 1))) 1/4) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(* (pow (/ (* 1 (+ 1 u1)) (* (- u1 1) (- (pow u1 2) 1))) 1/4) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (pow (/ 1 (- 1 u1)) 1/4) (sin (* 314159265359/50000000000 u2)))
(* (pow (/ 1 (- 1 u1)) 1/4) (sin (* 314159265359/50000000000 u2)))
(* (pow (/ 1 (- 1 u1)) 1/4) (sin (* 314159265359/50000000000 u2)))
(* (pow (/ 1 (- 1 u1)) 1/4) (sin (* 314159265359/50000000000 u2)))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 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)
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (pow (/ (* 1 (+ 1 u1)) (* (- u1 1) (- (pow u1 2) 1))) 1/4) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(* (pow (/ (* 1 (+ 1 u1)) (* (- u1 1) (- (pow u1 2) 1))) 1/4) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(* (pow (/ (* 1 (+ 1 u1)) (* (- u1 1) (- (pow u1 2) 1))) 1/4) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(* (pow (/ (* 1 (+ 1 u1)) (* (- u1 1) (- (pow u1 2) 1))) 1/4) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (pow (/ 1 (- 1 u1)) 1/4) (sin (* 314159265359/50000000000 u2)))
(* (pow (/ 1 (- 1 u1)) 1/4) (sin (* 314159265359/50000000000 u2)))
(* (pow (/ 1 (- 1 u1)) 1/4) (sin (* 314159265359/50000000000 u2)))
(* (pow (/ 1 (- 1 u1)) 1/4) (sin (* 314159265359/50000000000 u2)))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 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)

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)
(* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(.f32 (neg.f32 (sqrt.f32 u1)) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(+ (* -1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(fma.f32 (.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal -1/2 binary32) (.f32 (neg.f32 (sqrt.f32 u1)) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(fma.f32 (neg.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 u1) (.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)))))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (.f32 #s(literal -1/2 binary32) u1) (fma.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))))) (.f32 u1 u1) (.f32 (neg.f32 (sqrt.f32 u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(* (sqrt u1) (pow (sqrt -1) 2))
(neg.f32 (sqrt.f32 u1))
(+ (* -1/2 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/2 binary32) (neg.f32 (sqrt.f32 u1)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt u1)) (* -1/2 (sqrt (/ 1 u1))))))
(-.f32 (.f32 (.f32 (*.f32 u1 u1) #s(literal -1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (sqrt.f32 u1))
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(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
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(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
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(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
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(* 314159265359/50000000000 (* (pow (/ (* 1 (+ 1 u1)) (* (- u1 1) (- (pow u1 2) 1))) 1/4) (* (sqrt u1) u2)))
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(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow (/ (* 1 (+ 1 u1)) (* (- u1 1) (- (pow u1 2) 1))) 1/4) (* (sqrt u1) (pow u2 2)))) (* 314159265359/50000000000 (* (pow (/ (* 1 (+ 1 u1)) (* (- u1 1) (- (pow u1 2) 1))) 1/4) (sqrt u1)))))
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(* u2 (+ (* 314159265359/50000000000 (* (pow (/ (* 1 (+ 1 u1)) (* (- u1 1) (- (pow u1 2) 1))) 1/4) (sqrt u1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow (/ (* 1 (+ 1 u1)) (* (- u1 1) (- (pow u1 2) 1))) 1/4) (sqrt u1))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow (/ (* 1 (+ 1 u1)) (* (- u1 1) (- (pow u1 2) 1))) 1/4) (* (sqrt u1) (pow u2 2))))))))
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(* u2 (+ (* 314159265359/50000000000 (* (pow (/ (* 1 (+ 1 u1)) (* (- u1 1) (- (pow u1 2) 1))) 1/4) (sqrt u1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow (/ (* 1 (+ 1 u1)) (* (- u1 1) (- (pow u1 2) 1))) 1/4) (sqrt u1))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow (/ (* 1 (+ 1 u1)) (* (- u1 1) (- (pow u1 2) 1))) 1/4) (* (sqrt u1) (pow u2 2)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow (/ (* 1 (+ 1 u1)) (* (- u1 1) (- (pow u1 2) 1))) 1/4) (sqrt u1)))))))))
(fma.f32 (pow.f32 u2 #s(literal 3 binary32)) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (pow.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32))) (sqrt.f32 u1) (.f32 (fma.f32 (.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) (pow.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (.f32 (.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 (sqrt.f32 u1)) u2)) (pow.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)))) (.f32 u2 u2))) (.f32 (.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 u1))) (pow.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32))))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (pow.f32 u2 #s(literal 3 binary32)) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(fma.f32 (pow.f32 u2 #s(literal 3 binary32)) (fma.f32 (.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(.f32 (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32) (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 (.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (.f32 (.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) u2)
(* 314159265359/50000000000 (* (pow (/ 1 (- 1 u1)) 1/4) u2))
(.f32 (.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) #s(literal 314159265359/50000000000 binary32)) u2)
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow (/ 1 (- 1 u1)) 1/4) (pow u2 2))) (* 314159265359/50000000000 (pow (/ 1 (- 1 u1)) 1/4))))
(.f32 (fma.f32 (.f32 (.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) u2) u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) #s(literal 314159265359/50000000000 binary32))) u2)
(* u2 (+ (* 314159265359/50000000000 (pow (/ 1 (- 1 u1)) 1/4)) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow (/ 1 (- 1 u1)) 1/4)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow (/ 1 (- 1 u1)) 1/4) (pow u2 2)))))))
(fma.f32 (pow.f32 u2 #s(literal 3 binary32)) (fma.f32 (.f32 (.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (.f32 (*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) #s(literal 314159265359/50000000000 binary32)) u2))
(* u2 (+ (* 314159265359/50000000000 (pow (/ 1 (- 1 u1)) 1/4)) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow (/ 1 (- 1 u1)) 1/4)) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow (/ 1 (- 1 u1)) 1/4) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow (/ 1 (- 1 u1)) 1/4))))))))
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(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
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(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
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(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
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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))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
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(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
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(* (pow (/ (* 1 (+ 1 u1)) (* (- u1 1) (- (pow u1 2) 1))) 1/4) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
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(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (pow (/ 1 (- 1 u1)) 1/4) (sin (* 314159265359/50000000000 u2)))
(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (pow (/ 1 (- 1 u1)) 1/4) (sin (* 314159265359/50000000000 u2)))
(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (pow (/ 1 (- 1 u1)) 1/4) (sin (* 314159265359/50000000000 u2)))
(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (pow (/ 1 (- 1 u1)) 1/4) (sin (* 314159265359/50000000000 u2)))
(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sin (* 314159265359/50000000000 u2))
(sin.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))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (pow (/ (* 1 (+ 1 u1)) (* (- u1 1) (- (pow u1 2) 1))) 1/4) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(.f32 (pow.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1)))
(* (pow (/ (* 1 (+ 1 u1)) (* (- u1 1) (- (pow u1 2) 1))) 1/4) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(.f32 (pow.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1)))
(* (pow (/ (* 1 (+ 1 u1)) (* (- u1 1) (- (pow u1 2) 1))) 1/4) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(.f32 (pow.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1)))
(* (pow (/ (* 1 (+ 1 u1)) (* (- u1 1) (- (pow u1 2) 1))) 1/4) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(.f32 (pow.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (pow (/ 1 (- 1 u1)) 1/4) (sin (* 314159265359/50000000000 u2)))
(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (pow (/ 1 (- 1 u1)) 1/4) (sin (* 314159265359/50000000000 u2)))
(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (pow (/ 1 (- 1 u1)) 1/4) (sin (* 314159265359/50000000000 u2)))
(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (pow (/ 1 (- 1 u1)) 1/4) (sin (* 314159265359/50000000000 u2)))
(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sin (* 314159265359/50000000000 u2))
(sin.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))

rewrite201.0ms (2.1%)

Memory

-18.4MiB live, 202.5MiB allocated

Rules

4 798×	`lower-fma.f64`
4 794×	`lower-fma.f32`
4 000×	`lower-/.f64`
3 988×	`lower-/.f32`
3 766×	`lower-*.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	257
0	80	236
1	236	222
2	1371	182
0	8727	182

Stop Event

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

Counts

22 → 1 184

Calls

Call 1

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

Outputs
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eval206.0ms (2.2%)

Memory: -8.6MiB live, 336.8MiB allocated
Compiler: Compiled 38 695 to 5 369 computations (86.1% saved)

prune112.0ms (1.2%)

Memory

16.7MiB live, 303.8MiB allocated

Pruning

75 alts after pruning (67 fresh and 8 done)

	Pruned	Kept	Total
New	1 664	30	1 694
Fresh	24	37	61
Picked	1	4	5
Done	2	4	6
Total	1 691	75	1 766

Accuracy

99.8%

Counts

1 766 → 75

Alt Table

Click to see full alt table

Status	Accuracy	Program
	81.5%	(/.f32 (/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (pow.f32 u1 #s(literal -1/2 binary32)))
	81.2%	(/.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
	98.2%	(/.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	81.6%	(/.f32 (.f32 (sqrt.f32 u1) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	81.6%	(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
	81.6%	(/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
	73.9%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))) (.f32 (sqrt.f32 u1) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
	98.0%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
	81.5%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) #s(approx (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2))))
	65.7%	(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (sqrt (- 1 u1)) #s(literal 1 binary32)) (.f32 (sqrt.f32 u1) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
	81.5%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))))
	98.1%	(.f32 (pow.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (.f32 u1 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
	72.1%	(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (-.f32 (log.f32 u1) (log1p.f32 u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	95.4%	(.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (neg.f32 (log.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	29.7%	(.f32 (/.f32 (.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	98.2%	(.f32 (/.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))))
	81.6%	(.f32 (/.f32 (.f32 (sqrt.f32 u1) #s(approx (sin (* 314159265359/50000000000 u2)) (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))))
	81.4%	(.f32 (/.f32 (sqrt.f32 (/.f32 (.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	81.5%	(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	98.2%	(.f32 (/.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
	98.3%	(.f32 (/.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))) u1)
✓	81.6%	(.f32 (/.f32 #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (sqrt.f32 (/.f32 u1 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
	81.6%	(.f32 (/.f32 #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
	98.3%	(.f32 (/.f32 u1 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	81.6%	(.f32 (/.f32 u1 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	97.7%	(.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (.f32 (neg.f32 (sqrt.f32 u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
	98.3%	(.f32 (.f32 (pow.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) u1) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	81.5%	(.f32 (.f32 (/.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))))) (sqrt.f32 u1)) (neg.f32 #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
✓	81.3%	(.f32 (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (neg.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
	81.4%	(.f32 (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) (sqrt.f32 u1))
	97.7%	(.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))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	-0.0%	(.f32 (sqrt.f32 (fma.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	65.9%	(.f32 (sqrt.f32 (fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) u1 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	98.3%	(.f32 (sqrt.f32 (/.f32 (/.f32 (.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.4%	(.f32 (sqrt.f32 (/.f32 (.f32 u1 u1) (.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	81.7%	(.f32 (sqrt.f32 (/.f32 (.f32 u1 u1) (.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	64.0%	(.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (-.f32 u1 #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) (-.f32 u1 #s(literal -1 binary32))) (neg.f32 (.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))) u1))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	74.6%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (sqrt.f32 (.f32 (fma.f32 (neg.f32 u1) (neg.f32 u1) #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	31.3%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	74.6%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (sqrt.f32 (.f32 #s(approx (+ (* u1 u1) -1) #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
✓	98.4%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	81.8%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
	81.8%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
✓	81.8%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	65.9%	(.f32 (sqrt.f32 (/.f32 u1 (.f32 (-.f32 u1 #s(literal -1 binary32)) (/.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	98.2%	(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (.f32 (.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (.f32 (neg.f32 u1) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.4%	(.f32 (sqrt.f32 (.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (.f32 u1 u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	81.6%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	81.6%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
✓	98.3%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	98.4%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (.f32 u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	81.7%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) u1) (.f32 u1 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	96.3%	(.f32 (sqrt.f32 (.f32 (exp.f32 (.f32 (log.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal -1 binary32))) (.f32 u1 u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	86.4%	(.f32 (sqrt.f32 (.f32 #s(approx (/ -1 (- u1 1)) (+.f32 #s(literal 1 binary32) u1)) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	86.4%	(.f32 (sqrt.f32 (.f32 #s(approx (/ -1 (* (- u1 1) u1)) (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)) (.f32 u1 u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	19.5%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) (.f32 u1 u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	65.7%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
	65.7%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
✓	65.7%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	65.7%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	74.0%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (.f32 u1 u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	74.0%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (-.f32 u1 #s(literal -1 binary32)) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	19.5%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ ( u1 u1) u1) (.f32 u1 u1)))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	96.3%	(.f32 (exp.f32 (.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	75.0%	(.f32 #s(approx (/ (/ 1 (sqrt (/ 1 u1))) (sqrt (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	75.6%	(.f32 #s(approx ( (/ -1 (sqrt (- 1 u1))) (sqrt u1)) (-.f32 (.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (sqrt.f32 u1))) (neg.f32 #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
	19.9%	(.f32 #s(approx (sqrt (/ u1 (/ (sqrt ( (+ (* u1 u1) -1) (- u1 1))) (sqrt (- u1 -1))))) #s(literal 1 binary32)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	65.7%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	65.6%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	65.7%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
	65.7%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
✓	65.7%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	81.7%	#s(approx (/ 1 (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2))
	20.2%	#s(approx (* (pow (pow (/ (- u1 1) u1) -2) 1/4) (sin (* 314159265359/50000000000 u2))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	62.0%	#s(approx (* (sqrt (/ u1 (/ (sqrt (* (+ (* u1 u1) -1) (- u1 1))) (sqrt (- u1 -1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 u1))) (pow.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32))))

Compiler

Compiled 3 517 to 1 570 computations (55.4% saved)

regimes371.0ms (3.9%)

Memory

-32.1MiB live, 685.7MiB allocated

Counts

142 → 1

Calls

Call 1

Inputs
(.f32 #s(approx (sqrt (/ u1 (/ (sqrt ( (+ (* u1 u1) -1) (- u1 1))) (sqrt (- u1 -1))))) #s(literal 1 binary32)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ ( u1 u1) u1) (.f32 u1 u1)))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (-.f32 u1 #s(literal -1 binary32)) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (.f32 u1 u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (/.f32 u1 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (sqrt (- 1 u1)) #s(literal 1 binary32)) (.f32 (sqrt.f32 u1) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (/.f32 (.f32 u1 u1) (.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (/.f32 #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/.f32 (.f32 (sqrt.f32 u1) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (/ 1 (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2))
(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
(.f32 (sqrt.f32 (.f32 (neg.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (-.f32 u1 #s(literal -1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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)))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
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(.f32 (/.f32 (.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(.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)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal -1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (/.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))))
(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))) (sin.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))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 (pow.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) u1) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (pow.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (.f32 u1 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (/.f32 #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 u1 #s(literal -1/2 binary32))))
(.f32 (.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
(.f32 (.f32 (.f32 (sqrt.f32 u1) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)))
(.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) (sqrt.f32 u1)) (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (pow.f32 u1 #s(literal -1/2 binary32)))
(.f32 (pow.f32 (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (sin.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))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (pow.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -2 binary32)) #s(literal 1/4 binary32)) (sin.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))) (sin.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 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (/.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (.f32 (exp.f32 (.f32 (log.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal -1 binary32))) (.f32 u1 u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (.f32 (exp.f32 (log.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 (pow.f32 u1 #s(literal 1/8 binary32)) (.f32 (pow.f32 u1 #s(literal 1/8 binary32)) (/.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.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))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) u1)))))) (sin.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))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (neg.f32 (log.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (/.f32 (exp.f32 (.f32 (log.f32 (pow.f32 u1 #s(literal -2 binary32))) #s(literal -1/4 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 9 binary32)))) (+.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (pow.f32 u1 #s(literal 3 binary32))) (neg.f32 (.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 (+.f32 (pow.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 3 binary32))) (fma.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (-.f32 (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (-.f32 (log.f32 u1) (log1p.f32 u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (-.f32 (log1p.f32 u1) (log.f32 u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Outputs
(.f32 (pow.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -2 binary32)) #s(literal 1/4 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Calls

8 calls:

72.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
53.0ms	u2
43.0ms	u1
41.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
40.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
98.4%	1	`cosTheta_i`
98.4%	1	`u1`
98.4%	1	`u2`
98.4%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
98.4%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
98.4%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
98.4%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
98.4%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes424.0ms (4.5%)

Memory

26.1MiB live, 652.2MiB allocated

Counts

126 → 1

Calls

Call 1

Inputs
(.f32 #s(approx (sqrt (/ u1 (/ (sqrt ( (+ (* u1 u1) -1) (- u1 1))) (sqrt (- u1 -1))))) #s(literal 1 binary32)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ ( u1 u1) u1) (.f32 u1 u1)))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (-.f32 u1 #s(literal -1 binary32)) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (.f32 u1 u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (/.f32 u1 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (sqrt (- 1 u1)) #s(literal 1 binary32)) (.f32 (sqrt.f32 u1) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (/.f32 (.f32 u1 u1) (.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (/.f32 #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/.f32 (.f32 (sqrt.f32 u1) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (/ 1 (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2))
(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
(.f32 (sqrt.f32 (.f32 (neg.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (-.f32 u1 #s(literal -1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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)))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (.f32 u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (neg.f32 (sqrt.f32 u1)) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) (.f32 u1 u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) (sqrt.f32 u1))
(.f32 (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (neg.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) u1) (.f32 u1 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) #s(approx (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1)) (-.f32 u1 #s(literal -1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
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(/.f32 (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (pow.f32 u1 #s(literal -1/2 binary32)))
(.f32 (pow.f32 (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (sin.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))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

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

Calls

8 calls:

74.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
71.0ms	u1
65.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
61.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
39.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
98.4%	1	`cosTheta_i`
98.4%	1	`u1`
98.4%	1	`u2`
98.4%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
98.4%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
98.4%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
98.4%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
98.4%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes185.0ms (2%)

Memory

-4.5MiB live, 429.3MiB allocated

Counts

73 → 2

Calls

Call 1

Inputs
(.f32 #s(approx (sqrt (/ u1 (/ (sqrt ( (+ (* u1 u1) -1) (- u1 1))) (sqrt (- u1 -1))))) #s(literal 1 binary32)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ ( u1 u1) u1) (.f32 u1 u1)))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (-.f32 u1 #s(literal -1 binary32)) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (.f32 u1 u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (/.f32 u1 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (sqrt (- 1 u1)) #s(literal 1 binary32)) (.f32 (sqrt.f32 u1) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (/.f32 (.f32 u1 u1) (.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (/.f32 #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/.f32 (.f32 (sqrt.f32 u1) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (/ 1 (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2))
(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
(.f32 (sqrt.f32 (.f32 (neg.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (-.f32 u1 #s(literal -1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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)))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (.f32 u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (neg.f32 (sqrt.f32 u1)) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) (.f32 u1 u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) (sqrt.f32 u1))
(.f32 (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (neg.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) u1) (.f32 u1 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) #s(approx (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1)) (-.f32 u1 #s(literal -1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (.f32 (-.f32 u1 #s(literal -1 binary32)) (/.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (/.f32 (sqrt.f32 (/.f32 (.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))))
(/.f32 (/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))))
(.f32 (/.f32 (.f32 (sqrt.f32 u1) #s(approx (sin (* 314159265359/50000000000 u2)) (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))))
(.f32 (sqrt.f32 (/.f32 (/.f32 u1 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) u1 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (sqrt.f32 (.f32 #s(approx (+ (* u1 u1) -1) #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 #s(approx ( (/ -1 (sqrt (- 1 u1))) (sqrt u1)) (-.f32 (.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (sqrt.f32 u1))) (neg.f32 #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))) (.f32 (sqrt.f32 u1) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(.f32 (sqrt.f32 (fma.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 (/.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))))) (sqrt.f32 u1)) (neg.f32 #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (sqrt.f32 (.f32 (fma.f32 (neg.f32 u1) (neg.f32 u1) #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (-.f32 u1 #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) (-.f32 u1 #s(literal -1 binary32))) (neg.f32 (.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))) u1))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))))) (.f32 (sqrt.f32 u1) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
#s(approx (* (pow (pow (/ (- u1 1) u1) -2) 1/4) (sin (* 314159265359/50000000000 u2))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 #s(approx (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 #s(approx (/ (/ 1 (sqrt (/ 1 u1))) (sqrt (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (.f32 #s(approx (/ -1 (- u1 1)) (+.f32 #s(literal 1 binary32) u1)) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Outputs

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

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

Calls

8 calls:

26.0ms	u1
24.0ms	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
23.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
20.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
20.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Results

Accuracy	Segments	Branch
86.4%	1	`cosTheta_i`
93.3%	2	`u1`
93.5%	2	`u2`
86.4%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
93.3%	2	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
93.3%	2	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
92.3%	2	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
93.5%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes243.0ms (2.6%)

Memory

29.8MiB live, 500.6MiB allocated

Counts

71 → 2

Calls

Call 1

Inputs
(.f32 #s(approx (sqrt (/ u1 (/ (sqrt ( (+ (* u1 u1) -1) (- u1 1))) (sqrt (- u1 -1))))) #s(literal 1 binary32)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ ( u1 u1) u1) (.f32 u1 u1)))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (-.f32 u1 #s(literal -1 binary32)) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (.f32 u1 u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (/.f32 u1 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (sqrt (- 1 u1)) #s(literal 1 binary32)) (.f32 (sqrt.f32 u1) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (/.f32 (.f32 u1 u1) (.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (/.f32 #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/.f32 (.f32 (sqrt.f32 u1) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (/ 1 (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2))
(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
(.f32 (sqrt.f32 (.f32 (neg.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (-.f32 u1 #s(literal -1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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)))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (.f32 u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (neg.f32 (sqrt.f32 u1)) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) (.f32 u1 u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) (sqrt.f32 u1))
(.f32 (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (neg.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) u1) (.f32 u1 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) #s(approx (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1)) (-.f32 u1 #s(literal -1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (.f32 (-.f32 u1 #s(literal -1 binary32)) (/.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (/.f32 (sqrt.f32 (/.f32 (.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))))
(/.f32 (/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))))
(.f32 (/.f32 (.f32 (sqrt.f32 u1) #s(approx (sin (* 314159265359/50000000000 u2)) (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))))
(.f32 (sqrt.f32 (/.f32 (/.f32 u1 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) u1 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (sqrt.f32 (.f32 #s(approx (+ (* u1 u1) -1) #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 #s(approx ( (/ -1 (sqrt (- 1 u1))) (sqrt u1)) (-.f32 (.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (sqrt.f32 u1))) (neg.f32 #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))) (.f32 (sqrt.f32 u1) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(.f32 (sqrt.f32 (fma.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 (/.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))))) (sqrt.f32 u1)) (neg.f32 #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (sqrt.f32 (.f32 (fma.f32 (neg.f32 u1) (neg.f32 u1) #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (-.f32 u1 #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) (-.f32 u1 #s(literal -1 binary32))) (neg.f32 (.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))) u1))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))))) (.f32 (sqrt.f32 u1) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
#s(approx (* (pow (pow (/ (- u1 1) u1) -2) 1/4) (sin (* 314159265359/50000000000 u2))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 #s(approx (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 #s(approx (/ (/ 1 (sqrt (/ 1 u1))) (sqrt (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Outputs

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

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

Calls

8 calls:

49.0ms	u2
44.0ms	cosTheta_i
40.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
23.0ms	u1
22.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Results

Accuracy	Segments	Branch
81.8%	1	`cosTheta_i`
81.8%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
88.3%	2	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
89.2%	2	`u1`
89.2%	2	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
89.2%	2	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
89.5%	2	`u2`
89.5%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes153.0ms (1.6%)

Memory

5.5MiB live, 329.4MiB allocated

Counts

67 → 1

Calls

Call 1

Inputs
(.f32 #s(approx (sqrt (/ u1 (/ (sqrt ( (+ (* u1 u1) -1) (- u1 1))) (sqrt (- u1 -1))))) #s(literal 1 binary32)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ ( u1 u1) u1) (.f32 u1 u1)))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (-.f32 u1 #s(literal -1 binary32)) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (.f32 u1 u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (/.f32 u1 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (sqrt (- 1 u1)) #s(literal 1 binary32)) (.f32 (sqrt.f32 u1) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (/.f32 (.f32 u1 u1) (.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (/.f32 #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/.f32 (.f32 (sqrt.f32 u1) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (/ 1 (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2))
(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
(.f32 (sqrt.f32 (.f32 (neg.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (-.f32 u1 #s(literal -1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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)))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (.f32 u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (neg.f32 (sqrt.f32 u1)) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) (.f32 u1 u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) (sqrt.f32 u1))
(.f32 (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (neg.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) u1) (.f32 u1 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) #s(approx (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1)) (-.f32 u1 #s(literal -1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (.f32 (-.f32 u1 #s(literal -1 binary32)) (/.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (/.f32 (sqrt.f32 (/.f32 (.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))))
(/.f32 (/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))))
(.f32 (/.f32 (.f32 (sqrt.f32 u1) #s(approx (sin (* 314159265359/50000000000 u2)) (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))))
(.f32 (sqrt.f32 (/.f32 (/.f32 u1 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) u1 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (sqrt.f32 (.f32 #s(approx (+ (* u1 u1) -1) #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 #s(approx ( (/ -1 (sqrt (- 1 u1))) (sqrt u1)) (-.f32 (.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (sqrt.f32 u1))) (neg.f32 #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))) (.f32 (sqrt.f32 u1) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(.f32 (sqrt.f32 (fma.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 (/.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))))) (sqrt.f32 u1)) (neg.f32 #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (sqrt.f32 (.f32 (fma.f32 (neg.f32 u1) (neg.f32 u1) #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (-.f32 u1 #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) (-.f32 u1 #s(literal -1 binary32))) (neg.f32 (.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))) u1))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))))) (.f32 (sqrt.f32 u1) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
#s(approx (* (pow (pow (/ (- u1 1) u1) -2) 1/4) (sin (* 314159265359/50000000000 u2))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))

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

Calls

7 calls:

31.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
25.0ms	u2
20.0ms	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
18.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
18.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))

Results

Accuracy	Segments	Branch
81.8%	1	`cosTheta_i`
81.8%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
81.8%	1	`u1`
81.8%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
81.8%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
81.8%	1	`u2`
81.8%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 21 to 33 computations (-57.1% saved)

regimes26.0ms (0.3%)

Memory

-4.0MiB live, 73.2MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
(.f32 #s(approx (sqrt (/ u1 (/ (sqrt ( (+ (* u1 u1) -1) (- u1 1))) (sqrt (- u1 -1))))) #s(literal 1 binary32)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ ( u1 u1) u1) (.f32 u1 u1)))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (-.f32 u1 #s(literal -1 binary32)) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (.f32 u1 u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
74.0%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
74.0%	1	`u1`
74.0%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
74.0%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
74.0%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
74.0%	1	`cosTheta_i`
74.0%	1	`u2`
74.0%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes28.0ms (0.3%)

Memory

-16.4MiB live, 61.6MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

8 calls:

7.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
5.0ms	cosTheta_i
3.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
3.0ms	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
2.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))

Results

Accuracy	Segments	Branch
74.0%	1	`cosTheta_i`
74.0%	1	`u1`
74.0%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
74.0%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
74.0%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
74.0%	1	`u2`
74.0%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
74.0%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes20.0ms (0.2%)

Memory

27.2MiB live, 65.4MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

8 calls:

4.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
2.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
2.0ms	u2
2.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
2.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
65.7%	1	`cosTheta_i`
65.7%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
65.7%	1	`u1`
65.7%	1	`u2`
65.7%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
65.7%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
65.7%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
65.7%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes14.0ms (0.2%)

Memory

4.5MiB live, 42.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs

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

Outputs

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

Calls

8 calls:

4.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
1.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
1.0ms	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
1.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
1.0ms	u2

Results

Accuracy	Segments	Branch
19.9%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
19.9%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
19.9%	1	`cosTheta_i`
19.9%	1	`u1`
19.9%	1	`u2`
19.9%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
19.9%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
19.9%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0013143247924745083	0.0014021059032529593

Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.041384294629096985	0.04236496984958649

Compiler

Compiled 14 to 17 computations (-21.4% saved)

simplify32.0ms (0.3%)

Memory

-11.9MiB live, 102.8MiB allocated

Algorithm

1×	egg-herbie

Rules

28×	`-commutative-binary32-.f32`
16×	`+-commutative-binary32-+.f32`
12×	`sub-neg-binary32-neg.f32-+.f32--.f32`
6×	`neg-mul-1-binary32-*.f32-neg.f32`
6×	`neg-sub0-binary32--.f32-neg.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	202
1	87	202
2	96	202
3	104	202
4	106	202

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f32 (pow.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -2 binary32)) #s(literal 1/4 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 3006477/2147483648 binary32)) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (.f32 (sqrt.f32 (.f32 #s(approx (/ -1 (- u1 1)) (+.f32 #s(literal 1 binary32) u1)) u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 11274289/268435456 binary32)) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (.f32 u1 u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (-.f32 u1 #s(literal -1 binary32)) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 #s(approx (sqrt (/ u1 (/ (sqrt ( (+ (* u1 u1) -1) (- u1 1))) (sqrt (- u1 -1))))) #s(literal 1 binary32)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))

Outputs
(.f32 (pow.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -2 binary32)) #s(literal 1/4 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -2 binary32)) #s(literal 1/4 binary32)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 3006477/2147483648 binary32)) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (.f32 (sqrt.f32 (.f32 #s(approx (/ -1 (- u1 1)) (+.f32 #s(literal 1 binary32) u1)) u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) #s(literal 3006477/2147483648 binary32)) (.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (sqrt.f32 (.f32 #s(approx (/ -1 (- u1 1)) (+.f32 #s(literal 1 binary32) u1)) u1)) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 11274289/268435456 binary32)) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) #s(literal 11274289/268435456 binary32)) (.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (.f32 u1 u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (-.f32 u1 #s(literal -1 binary32)) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 #s(approx (sqrt (/ u1 (/ (sqrt ( (+ (* u1 u1) -1) (- u1 1))) (sqrt (- u1 -1))))) #s(literal 1 binary32)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))

soundness1.2s (12.6%)

Memory

-15.7MiB live, 1 120.1MiB allocated

Rules

17 106×	`lower-fma.f64`
17 106×	`lower-fma.f32`
15 348×	`lower-fma.f64`
15 348×	`lower-fma.f32`
13 652×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	202	1002
1	602	910
2	1745	837
3	5203	784
4	7613	783
0	8018	754
0	708	6071
1	2199	5488
2	7028	5402
0	8569	5156
0	10	32
0	16	32
1	46	32
2	237	32
3	1953	32
0	9692	32
0	46	257
0	80	236
1	236	222
2	1371	182
0	8727	182
0	413	4691
1	1245	4279
2	3683	3899
0	8108	3734
0	35	191
0	60	155
1	168	155
2	880	146
3	7493	146
0	8647	139
0	408	4896
1	1251	4497
2	3910	4032
0	8419	3871

Stop Event

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

Compiler

Compiled 324 to 232 computations (28.4% saved)

preprocess85.0ms (0.9%)

Memory

-11.6MiB live, 184.0MiB allocated

Remove

(negabs u2)

(abs cosTheta_i)

Compiler

Compiled 504 to 342 computations (32.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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	35	256
0	60	232
1	85	232
2	105	232
3	117	232
4	131	232
5	145	232
6	165	232
7	196	232
8	233	232
9	245	232
10	247	232
0	247	232

Iter	Nodes	Cost
0	36	266
0	60	266
1	85	260
2	119	256
3	166	250
4	253	250
5	290	250
6	314	250
7	347	250
8	373	250
9	380	250
0	380	250

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	35	256
0	60	232
1	85	232
2	105	232
3	117	232
4	131	232
5	145	232
6	165	232
7	196	232
8	233	232
9	245	232
10	247	232
0	247	232

Iter	Nodes	Cost
0	36	266
0	60	266
1	85	260
2	119	256
3	166	250
4	253	250
5	290	250
6	314	250
7	347	250
8	373	250
9	380	250
0	380	250

start0.0ms (0%)

analyze329.0ms (3.5%)

sample1.6s (17.2%)

explain133.0ms (1.4%)

preprocess48.0ms (0.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify15.0ms (0.2%)

localize30.0ms (0.3%)

series11.0ms (0.1%)

simplify198.0ms (2.1%)

rewrite186.0ms (2%)

eval104.0ms (1.1%)

prune64.0ms (0.7%)

simplify36.0ms (0.4%)

localize184.0ms (2%)

series237.0ms (2.5%)

simplify217.0ms (2.3%)

rewrite210.0ms (2.2%)

eval402.0ms (4.3%)

prune375.0ms (4%)

simplify14.0ms (0.2%)

localize91.0ms (1%)

series28.0ms (0.3%)

simplify228.0ms (2.4%)

rewrite156.0ms (1.7%)

eval278.0ms (3%)

prune134.0ms (1.4%)

simplify220.0ms (2.3%)

localize224.0ms (2.4%)

series111.0ms (1.2%)

simplify232.0ms (2.5%)

rewrite201.0ms (2.1%)

eval206.0ms (2.2%)

prune112.0ms (1.2%)

regimes371.0ms (3.9%)

regimes424.0ms (4.5%)

regimes185.0ms (2%)

regimes243.0ms (2.6%)

regimes153.0ms (1.6%)

regimes26.0ms (0.3%)

regimes28.0ms (0.3%)

regimes20.0ms (0.2%)

regimes14.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify32.0ms (0.3%)

soundness1.2s (12.6%)

preprocess85.0ms (0.9%)

end0.0ms (0%)

Profiling

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	35	256
0	60	232
1	85	232
2	105	232
3	117	232
4	131	232
5	145	232
6	165	232
7	196	232
8	233	232
9	245	232
10	247	232
0	247	232

Iter	Nodes	Cost
0	36	266
0	60	266
1	85	260
2	119	256
3	166	250
4	253	250
5	290	250
6	314	250
7	347	250
8	373	250
9	380	250
0	380	250