Metrics for Trowbridge-Reitz Sample, near normal, slope

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

analyze299.0ms (3.6%)

Memory

32.8MiB live, 419.0MiB 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)

sample1.9s (22.9%)

Memory

-100.4MiB live, 2 233.7MiB allocated

Samples

1.5s	8 256×	0	valid
0.0ms	3×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-<=: 423.0ms (33.1% of total)

const: 413.0ms (32.3% of total)

ival-mult: 107.0ms (8.4% of total)

ival-sin: 105.0ms (8.2% of total)

ival-div: 61.0ms (4.8% of total)

ival-sqrt: 57.0ms (4.5% of total)

ival-sub: 44.0ms (3.4% of total)

ival-and: 34.0ms (2.7% of total)

ival->: 27.0ms (2.1% of total)

exact: 5.0ms (0.4% of total)

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

Bogosity

explain113.0ms (1.4%)

Memory

-6.5MiB live, 276.3MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

49.0ms

512×

valid

Compiler

Compiled 87 to 37 computations (57.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

const: 10.0ms (29.9% of total)

ival-mult: 7.0ms (20.9% of total)

ival-sin: 6.0ms (18% of total)

ival-div: 4.0ms (12% of total)

ival-sqrt: 3.0ms (9% of total)

ival-sub: 2.0ms (6% of total)

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

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

exact: 0.0ms (0% of total)

preprocess46.0ms (0.6%)

Memory

10.5MiB live, 49.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	106
1	78	101
2	132	101
3	243	99
4	484	99
5	907	99
6	1195	99
7	1334	99
8	1416	99
9	1463	99
10	1479	99
11	1483	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: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.2%	(.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)

simplify5.0ms (0.1%)

Memory

10.0MiB live, 10.1MiB 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)))

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

localize75.0ms (0.9%)

Memory

-80.0MiB live, 50.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.14453125	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.15552258277819156	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy	0.3359375	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.36328125	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Samples

39.0ms

256×

valid

Compiler

Compiled 38 to 13 computations (65.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-div: 17.0ms (57.3% of total)

ival-mult: 3.0ms (10.1% of total)

ival-sin: 3.0ms (10.1% of total)

const: 3.0ms (10.1% of total)

ival-sqrt: 2.0ms (6.7% of total)

ival-sub: 1.0ms (3.4% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated

Counts

6 → 46

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
(* (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))
(* (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))
(+ (* 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) (* 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 (pow u1 2)))) u1)) 1)
(* -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)
(* 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)))
(sin (* 314159265359/50000000000 u2))

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	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)))
1.0ms	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	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)))
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)))

simplify250.0ms (3%)

Memory

20.4MiB live, 172.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	202	815
1	602	725
2	1761	652
3	5215	599
4	7627	598
0	8026	569

Stop Event

1×	iter limit
1×	node limit

Counts

46 → 45

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))
(* (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))
(+ (* 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) (* 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 (pow u1 2)))) u1)) 1)
(* -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)
(* 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)))
(sin (* 314159265359/50000000000 u2))

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

rewrite251.0ms (3%)

Memory

6.8MiB live, 130.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	32
0	16	32
1	46	32
2	237	32
3	1954	32
0	9734	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
(.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 (.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (hypot.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) u1))
(.f32 (.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1/4 binary32))) (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1/4 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 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1/4 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1/4 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (sqrt.f32 u1) (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/.f32 (neg.f32 (.f32 (neg.f32 (sqrt.f32 u1)) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))) (neg.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (neg.f32 (.f32 (sqrt.f32 (neg.f32 u1)) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))) (neg.f32 (sqrt.f32 (-.f32 u1 #s(literal 1 binary32)))))
(/.f32 (neg.f32 (.f32 #s(literal 1 binary32) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))) (neg.f32 (sqrt.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (neg.f32 (sqrt.f32 u1)))) (neg.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (neg.f32 u1)))) (neg.f32 (sqrt.f32 (-.f32 u1 #s(literal 1 binary32)))))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) #s(literal 1 binary32))) (neg.f32 (sqrt.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))))
(/.f32 (neg.f32 (neg.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))))) (neg.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (neg.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (neg.f32 (sqrt.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))))
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(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (neg.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(fma.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (log1p.f32 u1))) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 #s(literal 1 binary32) (neg.f32 u1) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) u1 #s(literal 1 binary32))
(fma.f32 u1 #s(literal -1 binary32) #s(literal 1 binary32))
(fma.f32 u1 #s(literal 1 binary32) #s(literal 1 binary32))
(pow.f32 (/.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) #s(literal -1 binary32))
(pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (neg.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(+.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(+.f32 (neg.f32 u1) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (neg.f32 u1))
(+.f32 #s(literal 1 binary32) u1)
(+.f32 u1 #s(literal 1 binary32))
(exp.f32 (*.f32 (neg.f32 (log1p.f32 u1)) #s(literal -1 binary32)))
(exp.f32 (log1p.f32 u1))
(neg.f32 (-.f32 u1 #s(literal 1 binary32)))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))

eval117.0ms (1.4%)

Memory: -9.5MiB live, 100.0MiB allocated
Compiler: Compiled 14 550 to 2 560 computations (82.4% saved)

prune46.0ms (0.5%)

Memory

3.7MiB live, 54.1MiB allocated

Pruning

29 alts after pruning (28 fresh and 1 done)

	Pruned	Kept	Total
New	535	28	563
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	535	29	564

Accuracy

99.5%

Counts

564 → 29

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)))
	98.1%	(/.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))))))
	98.3%	(.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)))
	97.9%	(.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)))
	38.6%	(.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)))
	34.9%	(.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)))
	97.9%	(.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 (pow.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))) (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)))
▶	98.1%	(.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)))
	98.2%	(.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)))
	98.2%	(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	39.0%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	5.9%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (.f32 u1 u1))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.2%	(.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)))
✓	98.2%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	83.3%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) 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)))
	83.3%	(.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)))
	42.9%	(.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 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	73.8%	(.f32 (sqrt.f32 (-.f32 (/.f32 (.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 u1))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.2%	(.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)))
	41.4%	(.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)))
	98.2%	(.f32 (sqrt.f32 (sqrt.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -2 binary32)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	97.9%	(.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	97.9%	(.f32 (sqrt.f32 u1) (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
	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)))
	74.4%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	83.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Compiler

Compiled 1 009 to 847 computations (16.1% saved)

simplify155.0ms (1.9%)

Memory

9.1MiB live, 122.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	276
0	67	280
1	101	275
2	137	275
3	191	270
4	328	270
5	562	270
6	1355	270
7	3098	270
8	5860	270
0	8069	265

Stop Event

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

Calls

Call 1

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

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

localize226.0ms (2.7%)

Memory

3.6MiB live, 160.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.15552258277819156	(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
accuracy	0.33431625976844204	(.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)))
accuracy	0.3359375	(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
accuracy	0.36556625976844204	(.f32 (sqrt.f32 u1) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
accuracy	0.1796875	(/.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))
accuracy	0.3359375	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.3671875	(.f32 (sqrt.f32 (-.f32 (/.f32 (.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 u1))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	4.251685177836636	(fma.f32 u1 u1 #s(literal 1 binary32))
accuracy	0.15552258277819156	(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
accuracy	0.2265625	(/.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
accuracy	0.3359375	(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
accuracy	0.36556625976844204	(.f32 (sqrt.f32 u1) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
accuracy	0.14453125	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.3359375	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.33984375	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy	5.014777811683276	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.15552258277819156	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy	0.28515625	(/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
accuracy	0.3359375	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.36328125	(.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)))

Samples

146.0ms

256×

valid

Compiler

Compiled 272 to 37 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-div: 20.0ms (32.5% of total)

ival-mult: 12.0ms (19.5% of total)

ival-sqrt: 8.0ms (13% of total)

ival-sin: 6.0ms (9.8% of total)

ival-pow: 5.0ms (8.1% of total)

ival-sub: 4.0ms (6.5% of total)

const: 4.0ms (6.5% of total)

ival-add: 2.0ms (3.3% of total)

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

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

exact: 0.0ms (0% of total)

series44.0ms (0.5%)

Memory

-17.1MiB live, 28.2MiB allocated

Counts

22 → 109

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

Outputs
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)
(* (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)))))))))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt u1) u2)) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* 314159265359/100000000000 (* (sqrt u1) (* u2 (- 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
-1
(- (pow u1 2) 1)
(+ (* (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) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 u1))))) (* 1/2 (sqrt (/ 1 u1))))))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 (* -1 u1)))))))
1
(+ 1 (pow u1 2))
(pow u1 2)
(* (pow u1 2) (+ 1 (* -1 (pow u1 2))))
(* (pow u1 2) (+ 1 (* (pow u1 2) (- (pow u1 2) 1))))
(* (pow u1 2) (+ 1 (* (pow u1 2) (- (* (pow u1 2) (+ 1 (* -1 (pow u1 2)))) 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 u1))
(+ (* -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)))))
(* 314159265359/50000000000 (* u2 (sqrt -1)))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1)))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (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))))
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(sin (* 314159265359/50000000000 u2))
(+ (sin (* 314159265359/50000000000 u2)) (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)))
(+ (sin (* 314159265359/50000000000 u2)) (+ (* -5/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) u1))))
(+ (sin (* 314159265359/50000000000 u2)) (+ (* -13/16 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 3))) (+ (* -5/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)))))
(- 1 (* 1/2 (/ 1 u1)))
(+ 1 (* -1 (/ (+ 1/2 (* 5/8 (/ 1 u1))) u1)))
(- (+ 1 (* -1 (/ (+ 5/8 (* 13/16 (/ 1 u1))) (pow u1 2)))) (* 1/2 (/ 1 u1)))
(+ 1 (* -1 (/ (+ 1 (/ 1 u1)) u1)))
(- (+ 1 (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2)))) (/ 1 u1))
(* (pow u1 2) (+ 1 (/ 1 (pow u1 2))))
(- 1 (/ 1 (pow u1 2)))
(- (+ 1 (/ 1 (pow u1 4))) (/ 1 (pow u1 2)))
(- (+ 1 (/ 1 (pow u1 4))) (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 6))))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 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) (* -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)))
(+ (* 314159265359/100000000000 (/ (* u2 (sqrt -1)) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -942477796077/400000000000 (/ (* u2 (sqrt -1)) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -1 (/ (+ (* 314159265359/160000000000 (/ (* u2 (sqrt -1)) u1)) (* 942477796077/400000000000 (* u2 (sqrt -1)))) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(* -1 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (sin (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* 1/2 (sin (* 314159265359/50000000000 u2))) (* 5/8 (/ (sin (* 314159265359/50000000000 u2)) u1))) u1)))
(+ (sin (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1 (/ (+ (* -13/16 (/ (sin (* 314159265359/50000000000 u2)) u1)) (* -5/8 (sin (* 314159265359/50000000000 u2)))) u1)) (* 1/2 (sin (* 314159265359/50000000000 u2)))) u1)))
(+ 1 (* -1 (/ (+ 1/2 (+ (/ 13/16 (pow u1 2)) (* 5/8 (/ 1 u1)))) u1)))
(+ 1 (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) 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))))))))))
(* 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 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 (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1))))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1)))))) (* 314159265359/50000000000 (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1))))))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1))))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1)))))))))))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1)))))

Calls

9 calls:

Time	Variable		Point	Expression
20.0ms	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))) (* 314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (/ (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (sqrt (- 1 u1))) (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (sqrt u1) (sin (* u2 314159265359/50000000000)) (+ -1 (* u1 u1)) (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1)))) (* (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (pow (- 1 u1) -1/2)) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (* u2 314159265359/50000000000) (+ (* u1 u1) 1) (/ (* u1 u1) (+ (* u1 u1) 1)))
6.0ms	u2	@	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))) (* 314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (/ (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (sqrt (- 1 u1))) (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (sqrt u1) (sin (* u2 314159265359/50000000000)) (+ -1 (* u1 u1)) (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1)))) (* (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (pow (- 1 u1) -1/2)) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (* u2 314159265359/50000000000) (+ (* u1 u1) 1) (/ (* u1 u1) (+ (* u1 u1) 1)))
4.0ms	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))) (* 314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (/ (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (sqrt (- 1 u1))) (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (sqrt u1) (sin (* u2 314159265359/50000000000)) (+ -1 (* u1 u1)) (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1)))) (* (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (pow (- 1 u1) -1/2)) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (* u2 314159265359/50000000000) (+ (* u1 u1) 1) (/ (* u1 u1) (+ (* u1 u1) 1)))
4.0ms	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))) (* 314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (/ (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (sqrt (- 1 u1))) (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (sqrt u1) (sin (* u2 314159265359/50000000000)) (+ -1 (* u1 u1)) (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1)))) (* (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (pow (- 1 u1) -1/2)) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (* u2 314159265359/50000000000) (+ (* u1 u1) 1) (/ (* u1 u1) (+ (* u1 u1) 1)))
3.0ms	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))) (* 314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (/ (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (sqrt (- 1 u1))) (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (sqrt u1) (sin (* u2 314159265359/50000000000)) (+ -1 (* u1 u1)) (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1)))) (* (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (pow (- 1 u1) -1/2)) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (* u2 314159265359/50000000000) (+ (* u1 u1) 1) (/ (* u1 u1) (+ (* u1 u1) 1)))

simplify199.0ms (2.4%)

Memory

12.0MiB live, 169.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	482	2368
1	1505	2105
2	4766	1876
0	8038	1760

Stop Event

1×	iter limit
1×	node limit

Counts

109 → 108

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)
(* (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)))))))))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt u1) u2)) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* 314159265359/100000000000 (* (sqrt u1) (* u2 (- 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
-1
(- (pow u1 2) 1)
(+ (* (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) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 u1))))) (* 1/2 (sqrt (/ 1 u1))))))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 (* -1 u1)))))))
1
(+ 1 (pow u1 2))
(pow u1 2)
(* (pow u1 2) (+ 1 (* -1 (pow u1 2))))
(* (pow u1 2) (+ 1 (* (pow u1 2) (- (pow u1 2) 1))))
(* (pow u1 2) (+ 1 (* (pow u1 2) (- (* (pow u1 2) (+ 1 (* -1 (pow u1 2)))) 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 u1))
(+ (* -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)))))
(* 314159265359/50000000000 (* u2 (sqrt -1)))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1)))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (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))))
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(sin (* 314159265359/50000000000 u2))
(+ (sin (* 314159265359/50000000000 u2)) (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)))
(+ (sin (* 314159265359/50000000000 u2)) (+ (* -5/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) u1))))
(+ (sin (* 314159265359/50000000000 u2)) (+ (* -13/16 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 3))) (+ (* -5/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)))))
(- 1 (* 1/2 (/ 1 u1)))
(+ 1 (* -1 (/ (+ 1/2 (* 5/8 (/ 1 u1))) u1)))
(- (+ 1 (* -1 (/ (+ 5/8 (* 13/16 (/ 1 u1))) (pow u1 2)))) (* 1/2 (/ 1 u1)))
(+ 1 (* -1 (/ (+ 1 (/ 1 u1)) u1)))
(- (+ 1 (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2)))) (/ 1 u1))
(* (pow u1 2) (+ 1 (/ 1 (pow u1 2))))
(- 1 (/ 1 (pow u1 2)))
(- (+ 1 (/ 1 (pow u1 4))) (/ 1 (pow u1 2)))
(- (+ 1 (/ 1 (pow u1 4))) (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 6))))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 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) (* -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)))
(+ (* 314159265359/100000000000 (/ (* u2 (sqrt -1)) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -942477796077/400000000000 (/ (* u2 (sqrt -1)) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -1 (/ (+ (* 314159265359/160000000000 (/ (* u2 (sqrt -1)) u1)) (* 942477796077/400000000000 (* u2 (sqrt -1)))) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(* -1 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (sin (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* 1/2 (sin (* 314159265359/50000000000 u2))) (* 5/8 (/ (sin (* 314159265359/50000000000 u2)) u1))) u1)))
(+ (sin (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1 (/ (+ (* -13/16 (/ (sin (* 314159265359/50000000000 u2)) u1)) (* -5/8 (sin (* 314159265359/50000000000 u2)))) u1)) (* 1/2 (sin (* 314159265359/50000000000 u2)))) u1)))
(+ 1 (* -1 (/ (+ 1/2 (+ (/ 13/16 (pow u1 2)) (* 5/8 (/ 1 u1)))) u1)))
(+ 1 (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) 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))))))))))
(* 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 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 (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1))))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1)))))) (* 314159265359/50000000000 (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1))))))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1))))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1)))))))))))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1)))))

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 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (* -1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (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 #s(literal 314159265359/50000000000 binary32) u2)) (.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 #s(literal 314159265359/50000000000 binary32) 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)))))))))
(fma.f32 (neg.f32 (sqrt.f32 u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (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 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))) (.f32 u1 u1)))
(* (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 #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 (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))))))))))))
(-.f32 (.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) u1 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1)) (sqrt.f32 u1))
(/ -1 u1)
(/.f32 #s(literal -1 binary32) u1)
(/ (- u1 1) u1)
(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (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 #s(literal 1/2 binary32) (.f32 u1 u1)) (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (.f32 (sqrt.f32 u1) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) 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)))))))))
(fma.f32 (fma.f32 (.f32 (.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) u1) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (sqrt.f32 u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) u1 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32))))) (.f32 u1 u1) (.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(.f32 (.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))
(+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(.f32 u2 (fma.f32 #s(literal 314159265359/100000000000 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt u1) u2)) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))
(fma.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (.f32 (.f32 (.f32 u2 #s(literal 314159265359/100000000000 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 u1 u1)))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* 314159265359/100000000000 (* (sqrt u1) (* u2 (- 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))))
(fma.f32 (.f32 #s(literal 314159265359/100000000000 binary32) (fma.f32 (.f32 u2 (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 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u2))) (.f32 u1 u1) (.f32 (.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))
(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))
-1
#s(literal -1 binary32)
(- (pow u1 2) 1)
(fma.f32 u1 u1 #s(literal -1 binary32))
(+ (* (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 (fma.f32 (.f32 (.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/2 binary32)) (sqrt.f32 u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) u1 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32))))) (.f32 u1 u1) (.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 u1))))) (* 1/2 (sqrt (/ 1 u1))))))))
(fma.f32 (fma.f32 (.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/2 binary32)) (sqrt.f32 u1)) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32)))) (*.f32 u1 u1) (sqrt.f32 u1))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 (* -1 u1)))))))
(*.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1)
1
#s(literal 1 binary32)
(+ 1 (pow u1 2))
(fma.f32 u1 u1 #s(literal 1 binary32))
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (+ 1 (* -1 (pow u1 2))))
(-.f32 (*.f32 u1 u1) (pow.f32 u1 #s(literal 4 binary32)))
(* (pow u1 2) (+ 1 (* (pow u1 2) (- (pow u1 2) 1))))
(fma.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)) (*.f32 u1 u1))
(* (pow u1 2) (+ 1 (* (pow u1 2) (- (* (pow u1 2) (+ 1 (* -1 (pow u1 2)))) 1))))
(fma.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 (fma.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal -1 binary32) #s(literal -1 binary32))) (*.f32 u1 u1))
(* -1 (+ 1 (/ 1 u1)))
(-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))
(- (* -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 #s(literal -1 binary32) (.f32 u1 u1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))))
(+ (* 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))))
(fma.f32 (.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (+.f32 (/.f32 #s(literal 3/8 binary32) u1) #s(literal 1/2 binary32)) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(+ (* 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)))))
(fma.f32 (.f32 (/.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (+.f32 (/.f32 #s(literal 5/16 binary32) u1) #s(literal 3/8 binary32)) (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))))
(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) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1))))
(fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (+.f32 (/.f32 #s(literal 3/8 binary32) u1) #s(literal 1/2 binary32)) (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (+ (* 5/16 (/ (sqrt -1) (pow u1 3))) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1)))))
(fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 u1 #s(literal 3 binary32))) #s(literal 5/16 binary32) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (+.f32 (/.f32 #s(literal 3/8 binary32) u1) #s(literal 1/2 binary32)) (sqrt.f32 #s(literal -1 binary32))))
(- 1 (/ 1 u1))
(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal -1/2 binary32) u1) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
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(* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt u1)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2)))))))
(fma.f32 (pow.f32 u2 #s(literal 3 binary32)) (.f32 (sqrt.f32 u1) (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (.f32 (.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))
(* 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))))))))
(.f32 (fma.f32 (sqrt.f32 u1) (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) (.f32 (pow.f32 u2 #s(literal 4 binary32)) (.f32 (sqrt.f32 u1) (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 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)
(* 314159265359/50000000000 (* u2 (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1))))))
(.f32 (sqrt.f32 (-.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1)))))) (* 314159265359/50000000000 (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1)))))))
(.f32 (sqrt.f32 (-.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2))
(* u2 (+ (* 314159265359/50000000000 (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1))))))))))
(.f32 (fma.f32 (sqrt.f32 (-.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))))) (.f32 (.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2) (.f32 (sqrt.f32 (-.f32 (*.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))))) #s(literal 314159265359/50000000000 binary32))) u2)
(* u2 (+ (* 314159265359/50000000000 (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1))))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1)))))))))))
(.f32 (fma.f32 (sqrt.f32 (-.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))))) (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) (.f32 (pow.f32 u2 #s(literal 4 binary32)) (.f32 (sqrt.f32 (-.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))))) (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))) u2)
(* (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 #s(literal 314159265359/50000000000 binary32) u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1)))))
(.f32 (sqrt.f32 (-.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)))

rewrite232.0ms (2.8%)

Memory

-12.1MiB live, 143.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	196
0	67	201
1	214	187
2	1471	187
0	8149	183

Stop Event

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

Counts

22 → 580

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

Outputs
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32))) (pow.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32))) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32))) (neg.f32 u1))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)
(.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))
(*.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) #s(literal -1 binary32))
(*.f32 (neg.f32 u1) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32))))
(*.f32 #s(literal 1 binary32) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 u1 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 #s(literal -1 binary32) (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))))
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 (neg.f32 (neg.f32 (neg.f32 u1))) (-.f32 u1 #s(literal 1 binary32)))
(/.f32 (neg.f32 (neg.f32 u1)) (-.f32 #s(literal 1 binary32) u1))
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) u1))
(/.f32 (neg.f32 u1) (-.f32 u1 #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal -1 binary32)))
(neg.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))))
(.f32 (.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)))
(.f32 (/.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) (.f32 (sqrt.f32 u1) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(.f32 (.f32 (neg.f32 (sqrt.f32 u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) #s(literal -1 binary32)))
(.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 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 (sqrt.f32 u1) (/.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(/.f32 (neg.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))) (neg.f32 (sqrt.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 #s(literal -1 binary32)))) (neg.f32 (sqrt.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))))
(/.f32 (neg.f32 (.f32 (.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal 1 binary32))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (neg.f32 (neg.f32 (.f32 (neg.f32 (sqrt.f32 u1)) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))))) (neg.f32 (neg.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
(/.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))
(/.f32 (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))
(/.f32 (.f32 (.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (neg.f32 (.f32 (neg.f32 (sqrt.f32 u1)) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))) (neg.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (.f32 (neg.f32 (sqrt.f32 u1)) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(pow.f32 (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal -1 binary32))
(exp.f32 (.f32 (log.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))) #s(literal -1 binary32)))
(neg.f32 (/.f32 (.f32 (neg.f32 (sqrt.f32 u1)) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(neg.f32 (/.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (sqrt.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 (neg.f32 u1)))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 1/2 binary32)) (sqrt.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) #s(literal 1/2 binary32)) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 u1)) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32))) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
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(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
(/.f32 (+.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) (*.f32 u1 u1))))
(/.f32 (+.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32)) (fma.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)) (pow.f32 u1 #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)) (pow.f32 u1 #s(literal 4 binary32))) (+.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)) (pow.f32 u1 #s(literal 4 binary32))) (+.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32)))))
(-.f32 (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))))
(fma.f32 (exp.f32 (log.f32 u1)) (exp.f32 (log.f32 u1)) #s(literal 1 binary32))
(fma.f32 (neg.f32 u1) (neg.f32 u1) #s(literal 1 binary32))
(fma.f32 (*.f32 u1 u1) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (*.f32 u1 u1) #s(literal 1 binary32))
(fma.f32 u1 u1 #s(literal 1 binary32))
(pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)) (pow.f32 u1 #s(literal 4 binary32))) (+.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32))
(+.f32 (*.f32 u1 u1) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 u1 u1))
(.f32 (/.f32 (.f32 u1 u1) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal -1 binary32)))
(.f32 (/.f32 (.f32 u1 u1) (+.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32))) (fma.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)) (pow.f32 u1 #s(literal 4 binary32))))
(*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1)
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (pow.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal -1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 u1 u1))
(.f32 (.f32 (neg.f32 u1) u1) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(.f32 (.f32 u1 u1) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))))
(.f32 #s(literal 1 binary32) (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1))
(*.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
(/.f32 (neg.f32 (neg.f32 (.f32 (neg.f32 u1) u1))) (neg.f32 (neg.f32 (-.f32 #s(literal -1 binary32) (.f32 u1 u1)))))
(/.f32 (neg.f32 (.f32 (neg.f32 u1) u1)) (neg.f32 (-.f32 #s(literal -1 binary32) (.f32 u1 u1))))
(/.f32 (.f32 (neg.f32 u1) u1) (-.f32 #s(literal -1 binary32) (.f32 u1 u1)))
(/.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (pow.f32 u1 #s(literal -2 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (pow.f32 u1 #s(literal -2 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (pow.f32 u1 #s(literal -2 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (pow.f32 u1 #s(literal -2 binary32))) #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (pow.f32 u1 #s(literal -2 binary32)))))
(pow.f32 (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (pow.f32 u1 #s(literal -2 binary32))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (pow.f32 u1 #s(literal -2 binary32))) #s(literal -1 binary32))
(exp.f32 (.f32 (log.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (pow.f32 u1 #s(literal -2 binary32)))) #s(literal -1 binary32)))
(neg.f32 (/.f32 (*.f32 (neg.f32 u1) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))
(neg.f32 (/.f32 (.f32 u1 u1) (-.f32 #s(literal -1 binary32) (.f32 u1 u1))))

eval114.0ms (1.4%)

Memory: 13.6MiB live, 124.3MiB allocated
Compiler: Compiled 17 369 to 2 579 computations (85.2% saved)

prune100.0ms (1.2%)

Memory

-3.0MiB live, 153.3MiB allocated

Pruning

39 alts after pruning (36 fresh and 3 done)

	Pruned	Kept	Total
New	557	29	586
Fresh	16	7	23
Picked	3	2	5
Done	0	1	1
Total	576	39	615

Accuracy

99.8%

Counts

615 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.7%	(/.f32 (.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
✓	98.2%	(/.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	83.3%	(/.f32 (.f32 (sqrt.f32 u1) #s(approx (sin ( u2 314159265359/50000000000)) (.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.f32 (-.f32 #s(literal 1 binary32) u1)))
	83.3%	(/.f32 (.f32 (sqrt.f32 u1) #s(approx (sin ( u2 314159265359/50000000000)) (.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))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	83.3%	(/.f32 (.f32 (sqrt.f32 u1) #s(approx (sin ( u2 314159265359/50000000000)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	83.4%	(/.f32 #s(approx (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (.f32 (.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	98.2%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
	98.1%	(/.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))))))
	97.4%	(.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) (.f32 (sqrt.f32 u1) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
	40.0%	(.f32 (/.f32 (sqrt.f32 (-.f32 (.f32 (.f32 (neg.f32 u1) u1) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1)) (.f32 (-.f32 #s(literal -1 binary32) (.f32 u1 u1)) #s(literal 1 binary32)))) (sqrt.f32 (.f32 (-.f32 #s(literal -1 binary32) (.f32 u1 u1)) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	65.7%	(.f32 (/.f32 (sqrt.f32 (-.f32 (.f32 (.f32 u1 u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (neg.f32 u1)))) (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	97.9%	(.f32 (/.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
	98.2%	(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.1%	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) (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)))
	83.2%	(.f32 (.f32 (sqrt.f32 u1) #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (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)))
	8.2%	(.f32 (sqrt.f32 (/.f32 (/.f32 (-.f32 (fma.f32 (neg.f32 u1) u1 (pow.f32 u1 #s(literal 4 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	37.0%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	98.2%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	83.3%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) 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)))
	83.3%	(.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)))
▶	98.2%	(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 u1 u1) u1) (.f32 u1 u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.1%	(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -2 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 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	74.4%	(.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)))
	90.4%	(.f32 (sqrt.f32 (-.f32 #s(approx (/ ( u1 u1) (+ (* u1 u1) 1)) (.f32 u1 u1)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.2%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.2%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	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)))
	74.4%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	83.4%	#s(approx (* (sqrt (/ u1 (- 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))
	83.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
	83.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
✓	83.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	66.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	66.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (.f32 (.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
▶	75.1%	#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (-.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	20.2%	#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Compiler

Compiled 1 589 to 1 240 computations (22% saved)

simplify109.0ms (1.3%)

Memory

14.4MiB live, 171.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 u1 u1) u1) (.f32 u1 u1))))
cost-diff	0	(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 u1 u1) u1) (.f32 u1 u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	2	(/.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 u1 u1) u1) (.f32 u1 u1)))
cost-diff	4	(/.f32 (-.f32 (.f32 u1 u1) u1) (.f32 u1 u1))
cost-diff	0	#s(approx (/ (- u1 1) u1) (/.f32 #s(literal -1 binary32) u1))
cost-diff	0	(/.f32 #s(literal -1 binary32) #s(approx (/ (- u1 1) u1) (/.f32 #s(literal -1 binary32) u1)))
cost-diff	0	(sqrt.f32 (/.f32 #s(literal -1 binary32) #s(approx (/ (- u1 1) u1) (/.f32 #s(literal -1 binary32) u1))))
cost-diff	0	(.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)))
cost-diff	0	(-.f32 (*.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))))
cost-diff	0	(sqrt.f32 (-.f32 (*.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))))
cost-diff	0	(.f32 (sqrt.f32 (-.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
cost-diff	0	#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (-.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	0	(*.f32 (sqrt.f32 u1) u2)
cost-diff	0	(.f32 (.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))
cost-diff	0	#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (.f32 (.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))
cost-diff	0	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (.f32 (.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
cost-diff	0	(-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))
cost-diff	0	(sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))))
cost-diff	0	(.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)))
cost-diff	2	(/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	54	370
0	86	353
1	130	353
2	194	353
3	294	347
4	544	341
5	1697	341
6	5188	341
0	8271	341

Stop Event

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

Calls

Call 1

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

localize172.0ms (2.1%)

Memory

6.8MiB live, 312.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.28515625	(/.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 u1 u1) u1) (.f32 u1 u1)))
accuracy	0.296875	(/.f32 (-.f32 (.f32 u1 u1) u1) (.f32 u1 u1))
accuracy	0.3359375	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.36328125	(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 u1 u1) u1) (.f32 u1 u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.28515625	(/.f32 #s(literal -1 binary32) #s(approx (/ (- u1 1) u1) (/.f32 #s(literal -1 binary32) u1)))
accuracy	0.3359375	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.36328125	(.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)))
accuracy	8.822367245968262	#s(approx (/ (- u1 1) u1) (/.f32 #s(literal -1 binary32) u1))
accuracy	0.34765625	(.f32 (sqrt.f32 (-.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy	4.251685177836636	(fma.f32 u1 u1 #s(literal 1 binary32))
accuracy	4.633810681601626	(fma.f32 u1 u1 #s(literal -1 binary32))
accuracy	5.014171232508157	#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (-.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.2578125	(*.f32 (sqrt.f32 u1) u2)
accuracy	0.3984375	(.f32 (.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))
accuracy	5.014777811683276	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (.f32 (.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
accuracy	8.129107887605752	#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (.f32 (.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))
accuracy	0.15552258277819156	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy	0.28515625	(/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))
accuracy	0.3359375	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.36328125	(.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)))

Samples

143.0ms

256×

valid

Compiler

Compiled 322 to 49 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 117.0ms

ival-div: 52.0ms (44.6% of total)

ival-sqrt: 22.0ms (18.9% of total)

ival-mult: 16.0ms (13.7% of total)

ival-sin: 12.0ms (10.3% of total)

ival-sub: 6.0ms (5.1% of total)

const: 4.0ms (3.4% of total)

ival-add: 3.0ms (2.6% of total)

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

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

exact: 0.0ms (0% of total)

series39.0ms (0.5%)

Memory

-5.3MiB live, 88.8MiB allocated

Counts

24 → 113

Calls

Call 1

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

Outputs
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)
(* (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)))))))))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt u1) u2)) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* 314159265359/100000000000 (* (sqrt u1) (* u2 (- 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))))
(* (sqrt u1) 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)))))))))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* -314159265359/100000000000 (* (sqrt u1) (* u2 (+ 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) 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 u1) (+ 1 (* 1/4 (/ 1 u1))))) (* 1/2 (sqrt (/ 1 u1))))))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 (* -1 u1)))))))
-1
(- (pow u1 2) 1)
1
(+ 1 (pow u1 2))
(* -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 u1))
(+ (* -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)))))
(* 314159265359/50000000000 (* u2 (sqrt -1)))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1)))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))))
(sin (* 314159265359/50000000000 u2))
(+ (sin (* 314159265359/50000000000 u2)) (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)))
(+ (sin (* 314159265359/50000000000 u2)) (+ (* -5/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) u1))))
(+ (sin (* 314159265359/50000000000 u2)) (+ (* -13/16 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 3))) (+ (* -5/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)))))
(* 314159265359/50000000000 u2)
(+ (* -314159265359/100000000000 (/ u2 u1)) (* 314159265359/50000000000 u2))
(+ (* -314159265359/80000000000 (/ u2 (pow u1 2))) (+ (* -314159265359/100000000000 (/ u2 u1)) (* 314159265359/50000000000 u2)))
(+ (* -4084070449667/800000000000 (/ u2 (pow u1 3))) (+ (* -314159265359/80000000000 (/ u2 (pow u1 2))) (+ (* -314159265359/100000000000 (/ u2 u1)) (* 314159265359/50000000000 u2))))
(- 1 (* 1/2 (/ 1 u1)))
(+ 1 (* -1 (/ (+ 1/2 (* 5/8 (/ 1 u1))) u1)))
(- (+ 1 (* -1 (/ (+ 5/8 (* 13/16 (/ 1 u1))) (pow u1 2)))) (* 1/2 (/ 1 u1)))
(+ 1 (* -1 (/ (+ 1 (/ 1 u1)) u1)))
(- (+ 1 (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2)))) (/ 1 u1))
(pow u1 2)
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(* (pow u1 2) (+ 1 (/ 1 (pow u1 2))))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 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) (* -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)))
(+ (* 314159265359/100000000000 (/ (* u2 (sqrt -1)) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -942477796077/400000000000 (/ (* u2 (sqrt -1)) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -1 (/ (+ (* 314159265359/160000000000 (/ (* u2 (sqrt -1)) u1)) (* 942477796077/400000000000 (* u2 (sqrt -1)))) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(+ (sin (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* 1/2 (sin (* 314159265359/50000000000 u2))) (* 5/8 (/ (sin (* 314159265359/50000000000 u2)) u1))) u1)))
(+ (sin (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1 (/ (+ (* -13/16 (/ (sin (* 314159265359/50000000000 u2)) u1)) (* -5/8 (sin (* 314159265359/50000000000 u2)))) u1)) (* 1/2 (sin (* 314159265359/50000000000 u2)))) u1)))
(+ (* -1 (/ (+ (* 314159265359/100000000000 u2) (* 314159265359/80000000000 (/ u2 u1))) u1)) (* 314159265359/50000000000 u2))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -4084070449667/800000000000 (/ u2 u1)) (* -314159265359/80000000000 u2)) u1)) (* 314159265359/100000000000 u2)) u1)) (* 314159265359/50000000000 u2))
(+ 1 (* -1 (/ (+ 1/2 (+ (/ 13/16 (pow u1 2)) (* 5/8 (/ 1 u1)))) u1)))
(+ 1 (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)))
(* 314159265359/50000000000 (* (* u2 (sqrt -1)) (sqrt (/ 1 (- 1 (/ 1 u1))))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (* (pow u2 2) (sqrt -1)) (sqrt (/ 1 (- 1 (/ 1 u1)))))) (* 314159265359/50000000000 (* (sqrt -1) (sqrt (/ 1 (- 1 (/ 1 u1))))))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt -1) (sqrt (/ 1 (- 1 (/ 1 u1)))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt -1) (sqrt (/ 1 (- 1 (/ 1 u1)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* (pow u2 2) (sqrt -1)) (sqrt (/ 1 (- 1 (/ 1 u1))))))))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt -1) (sqrt (/ 1 (- 1 (/ 1 u1)))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt -1) (sqrt (/ 1 (- 1 (/ 1 u1)))))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (* (pow u2 2) (sqrt -1)) (sqrt (/ 1 (- 1 (/ 1 u1)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt -1) (sqrt (/ 1 (- 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 (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1))))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1)))))) (* 314159265359/50000000000 (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1))))))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1))))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1)))))))))))
(* 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 (* (* u1 (* u2 (sqrt -1))) (sqrt (/ 1 (- (pow u1 2) u1)))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (* u1 (* (pow u2 2) (sqrt -1))) (sqrt (/ 1 (- (pow u1 2) u1))))) (* 314159265359/50000000000 (* (* u1 (sqrt -1)) (sqrt (/ 1 (- (pow u1 2) u1)))))))
(* u2 (+ (* 314159265359/50000000000 (* (* u1 (sqrt -1)) (sqrt (/ 1 (- (pow u1 2) u1))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (* u1 (sqrt -1)) (sqrt (/ 1 (- (pow u1 2) u1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* u1 (* (pow u2 2) (sqrt -1))) (sqrt (/ 1 (- (pow u1 2) u1)))))))))
(* u2 (+ (* 314159265359/50000000000 (* (* u1 (sqrt -1)) (sqrt (/ 1 (- (pow u1 2) u1))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (* u1 (sqrt -1)) (sqrt (/ 1 (- (pow u1 2) u1))))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (* u1 (* (pow u2 2) (sqrt -1))) (sqrt (/ 1 (- (pow u1 2) u1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* u1 (sqrt -1)) (sqrt (/ 1 (- (pow u1 2) u1)))))))))))
(* 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))))
(* (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (sqrt (/ 1 (- 1 (/ 1 u1)))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1)))))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (* u1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (sqrt (/ 1 (- (pow u1 2) u1))))

Calls

9 calls:

Time	Variable		Point	Expression
12.0ms	u1	@	-inf	((/ -1 (- 1 (/ 1 u1))) (* (sqrt (/ -1 (- 1 (/ 1 u1)))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ -1 (- 1 (/ 1 u1)))) (- 1 (/ 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (* (* (sqrt u1) u2) 314159265359/50000000000) (* (sqrt u1) u2) (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (* 314159265359/50000000000 u2)) (sqrt (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1))) (* (sqrt (/ -1 (/ (- u1 1) u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ -1 (/ (- u1 1) u1))) (/ -1 (/ (- u1 1) u1)) (/ (- u1 1) u1) (/ (- (* u1 u1) u1) (* u1 u1)) (/ -1 (/ (- (* u1 u1) u1) (* u1 u1))) (* (sqrt (/ -1 (/ (- (* u1 u1) u1) (* u1 u1)))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ -1 (/ (- (* u1 u1) u1) (* u1 u1)))) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (+ (* u1 u1) -1) (+ (* u1 u1) 1))
7.0ms	u2	@	-inf	((/ -1 (- 1 (/ 1 u1))) (* (sqrt (/ -1 (- 1 (/ 1 u1)))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ -1 (- 1 (/ 1 u1)))) (- 1 (/ 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (* (* (sqrt u1) u2) 314159265359/50000000000) (* (sqrt u1) u2) (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (* 314159265359/50000000000 u2)) (sqrt (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1))) (* (sqrt (/ -1 (/ (- u1 1) u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ -1 (/ (- u1 1) u1))) (/ -1 (/ (- u1 1) u1)) (/ (- u1 1) u1) (/ (- (* u1 u1) u1) (* u1 u1)) (/ -1 (/ (- (* u1 u1) u1) (* u1 u1))) (* (sqrt (/ -1 (/ (- (* u1 u1) u1) (* u1 u1)))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ -1 (/ (- (* u1 u1) u1) (* u1 u1)))) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (+ (* u1 u1) -1) (+ (* u1 u1) 1))
6.0ms	u2	@	inf	((/ -1 (- 1 (/ 1 u1))) (* (sqrt (/ -1 (- 1 (/ 1 u1)))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ -1 (- 1 (/ 1 u1)))) (- 1 (/ 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (* (* (sqrt u1) u2) 314159265359/50000000000) (* (sqrt u1) u2) (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (* 314159265359/50000000000 u2)) (sqrt (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1))) (* (sqrt (/ -1 (/ (- u1 1) u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ -1 (/ (- u1 1) u1))) (/ -1 (/ (- u1 1) u1)) (/ (- u1 1) u1) (/ (- (* u1 u1) u1) (* u1 u1)) (/ -1 (/ (- (* u1 u1) u1) (* u1 u1))) (* (sqrt (/ -1 (/ (- (* u1 u1) u1) (* u1 u1)))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ -1 (/ (- (* u1 u1) u1) (* u1 u1)))) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (+ (* u1 u1) -1) (+ (* u1 u1) 1))
5.0ms	u2	@	0	((/ -1 (- 1 (/ 1 u1))) (* (sqrt (/ -1 (- 1 (/ 1 u1)))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ -1 (- 1 (/ 1 u1)))) (- 1 (/ 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (* (* (sqrt u1) u2) 314159265359/50000000000) (* (sqrt u1) u2) (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (* 314159265359/50000000000 u2)) (sqrt (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1))) (* (sqrt (/ -1 (/ (- u1 1) u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ -1 (/ (- u1 1) u1))) (/ -1 (/ (- u1 1) u1)) (/ (- u1 1) u1) (/ (- (* u1 u1) u1) (* u1 u1)) (/ -1 (/ (- (* u1 u1) u1) (* u1 u1))) (* (sqrt (/ -1 (/ (- (* u1 u1) u1) (* u1 u1)))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ -1 (/ (- (* u1 u1) u1) (* u1 u1)))) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (+ (* u1 u1) -1) (+ (* u1 u1) 1))
3.0ms	u1	@	inf	((/ -1 (- 1 (/ 1 u1))) (* (sqrt (/ -1 (- 1 (/ 1 u1)))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ -1 (- 1 (/ 1 u1)))) (- 1 (/ 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (* (* (sqrt u1) u2) 314159265359/50000000000) (* (sqrt u1) u2) (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (* 314159265359/50000000000 u2)) (sqrt (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1))) (* (sqrt (/ -1 (/ (- u1 1) u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ -1 (/ (- u1 1) u1))) (/ -1 (/ (- u1 1) u1)) (/ (- u1 1) u1) (/ (- (* u1 u1) u1) (* u1 u1)) (/ -1 (/ (- (* u1 u1) u1) (* u1 u1))) (* (sqrt (/ -1 (/ (- (* u1 u1) u1) (* u1 u1)))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ -1 (/ (- (* u1 u1) u1) (* u1 u1)))) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (+ (* u1 u1) -1) (+ (* u1 u1) 1))

simplify239.0ms (2.9%)

Memory

22.9MiB live, 330.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	515	2625
1	1618	2336
2	5259	2095
0	8129	1967

Stop Event

1×	iter limit
1×	node limit

Counts

113 → 112

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)
(* (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)))))))))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt u1) u2)) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* 314159265359/100000000000 (* (sqrt u1) (* u2 (- 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))))
(* (sqrt u1) 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)))))))))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* -314159265359/100000000000 (* (sqrt u1) (* u2 (+ 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) 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 u1) (+ 1 (* 1/4 (/ 1 u1))))) (* 1/2 (sqrt (/ 1 u1))))))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 (* -1 u1)))))))
-1
(- (pow u1 2) 1)
1
(+ 1 (pow u1 2))
(* -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 u1))
(+ (* -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)))))
(* 314159265359/50000000000 (* u2 (sqrt -1)))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1)))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))))
(sin (* 314159265359/50000000000 u2))
(+ (sin (* 314159265359/50000000000 u2)) (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)))
(+ (sin (* 314159265359/50000000000 u2)) (+ (* -5/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) u1))))
(+ (sin (* 314159265359/50000000000 u2)) (+ (* -13/16 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 3))) (+ (* -5/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)))))
(* 314159265359/50000000000 u2)
(+ (* -314159265359/100000000000 (/ u2 u1)) (* 314159265359/50000000000 u2))
(+ (* -314159265359/80000000000 (/ u2 (pow u1 2))) (+ (* -314159265359/100000000000 (/ u2 u1)) (* 314159265359/50000000000 u2)))
(+ (* -4084070449667/800000000000 (/ u2 (pow u1 3))) (+ (* -314159265359/80000000000 (/ u2 (pow u1 2))) (+ (* -314159265359/100000000000 (/ u2 u1)) (* 314159265359/50000000000 u2))))
(- 1 (* 1/2 (/ 1 u1)))
(+ 1 (* -1 (/ (+ 1/2 (* 5/8 (/ 1 u1))) u1)))
(- (+ 1 (* -1 (/ (+ 5/8 (* 13/16 (/ 1 u1))) (pow u1 2)))) (* 1/2 (/ 1 u1)))
(+ 1 (* -1 (/ (+ 1 (/ 1 u1)) u1)))
(- (+ 1 (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2)))) (/ 1 u1))
(pow u1 2)
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(* (pow u1 2) (+ 1 (/ 1 (pow u1 2))))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 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) (* -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)))
(+ (* 314159265359/100000000000 (/ (* u2 (sqrt -1)) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -942477796077/400000000000 (/ (* u2 (sqrt -1)) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -1 (/ (+ (* 314159265359/160000000000 (/ (* u2 (sqrt -1)) u1)) (* 942477796077/400000000000 (* u2 (sqrt -1)))) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(+ (sin (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* 1/2 (sin (* 314159265359/50000000000 u2))) (* 5/8 (/ (sin (* 314159265359/50000000000 u2)) u1))) u1)))
(+ (sin (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1 (/ (+ (* -13/16 (/ (sin (* 314159265359/50000000000 u2)) u1)) (* -5/8 (sin (* 314159265359/50000000000 u2)))) u1)) (* 1/2 (sin (* 314159265359/50000000000 u2)))) u1)))
(+ (* -1 (/ (+ (* 314159265359/100000000000 u2) (* 314159265359/80000000000 (/ u2 u1))) u1)) (* 314159265359/50000000000 u2))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -4084070449667/800000000000 (/ u2 u1)) (* -314159265359/80000000000 u2)) u1)) (* 314159265359/100000000000 u2)) u1)) (* 314159265359/50000000000 u2))
(+ 1 (* -1 (/ (+ 1/2 (+ (/ 13/16 (pow u1 2)) (* 5/8 (/ 1 u1)))) u1)))
(+ 1 (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)))
(* 314159265359/50000000000 (* (* u2 (sqrt -1)) (sqrt (/ 1 (- 1 (/ 1 u1))))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (* (pow u2 2) (sqrt -1)) (sqrt (/ 1 (- 1 (/ 1 u1)))))) (* 314159265359/50000000000 (* (sqrt -1) (sqrt (/ 1 (- 1 (/ 1 u1))))))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt -1) (sqrt (/ 1 (- 1 (/ 1 u1)))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt -1) (sqrt (/ 1 (- 1 (/ 1 u1)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* (pow u2 2) (sqrt -1)) (sqrt (/ 1 (- 1 (/ 1 u1))))))))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt -1) (sqrt (/ 1 (- 1 (/ 1 u1)))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt -1) (sqrt (/ 1 (- 1 (/ 1 u1)))))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (* (pow u2 2) (sqrt -1)) (sqrt (/ 1 (- 1 (/ 1 u1)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt -1) (sqrt (/ 1 (- 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 (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1))))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1)))))) (* 314159265359/50000000000 (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1))))))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1))))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1)))))))))))
(* 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 (* (* u1 (* u2 (sqrt -1))) (sqrt (/ 1 (- (pow u1 2) u1)))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (* u1 (* (pow u2 2) (sqrt -1))) (sqrt (/ 1 (- (pow u1 2) u1))))) (* 314159265359/50000000000 (* (* u1 (sqrt -1)) (sqrt (/ 1 (- (pow u1 2) u1)))))))
(* u2 (+ (* 314159265359/50000000000 (* (* u1 (sqrt -1)) (sqrt (/ 1 (- (pow u1 2) u1))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (* u1 (sqrt -1)) (sqrt (/ 1 (- (pow u1 2) u1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* u1 (* (pow u2 2) (sqrt -1))) (sqrt (/ 1 (- (pow u1 2) u1)))))))))
(* u2 (+ (* 314159265359/50000000000 (* (* u1 (sqrt -1)) (sqrt (/ 1 (- (pow u1 2) u1))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (* u1 (sqrt -1)) (sqrt (/ 1 (- (pow u1 2) u1))))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (* u1 (* (pow u2 2) (sqrt -1))) (sqrt (/ 1 (- (pow u1 2) u1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* u1 (sqrt -1)) (sqrt (/ 1 (- (pow u1 2) u1)))))))))))
(* 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))))
(* (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (sqrt (/ 1 (- 1 (/ 1 u1)))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1)))))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (* u1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (sqrt (/ 1 (- (pow u1 2) u1))))

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 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (* -1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (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 (neg.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1) (.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.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 (neg.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1) (.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (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 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))) (.f32 u1 u1)))
(* (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))
(+ (* (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))))))))))))
(-.f32 (.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) u1 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1)) (sqrt.f32 u1))
(/ -1 u1)
(/.f32 #s(literal -1 binary32) u1)
(/ (- u1 1) u1)
(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (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 (.f32 u1 u1) #s(literal 1/2 binary32)) (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (.f32 (sqrt.f32 u1) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) 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)))))))))
(fma.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (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 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))) (.f32 u1 u1) (.f32 (sqrt.f32 u1) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(.f32 (.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))
(+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(.f32 u2 (fma.f32 #s(literal 314159265359/100000000000 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt u1) u2)) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))
(fma.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (.f32 (.f32 (.f32 #s(literal 314159265359/100000000000 binary32) u2) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 u1 u1)))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* 314159265359/100000000000 (* (sqrt u1) (* u2 (- 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))))
(fma.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (.f32 (.f32 #s(literal 314159265359/100000000000 binary32) (fma.f32 (.f32 u2 (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 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u2))) (.f32 u1 u1)))
(* (sqrt u1) u2)
(*.f32 (sqrt.f32 u1) 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)))))))))
(fma.f32 (fma.f32 (.f32 (.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/2 binary32)) (sqrt.f32 u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) u1 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1/2 binary32)))) (.f32 u1 u1) (.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* -314159265359/100000000000 (* (sqrt u1) (* u2 (+ 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))))
(fma.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (.f32 (fma.f32 (.f32 u1 (.f32 #s(literal -314159265359/100000000000 binary32) (sqrt.f32 u1))) (fma.f32 (/.f32 #s(literal 1/4 binary32) u1) u2 u2) (.f32 (.f32 #s(literal 314159265359/100000000000 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 u1 u2))) (*.f32 u1 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 (.f32 u1 u1) #s(literal 1/2 binary32)) (+.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 u1) (+ 1 (* 1/4 (/ 1 u1))))) (* 1/2 (sqrt (/ 1 u1))))))))
(fma.f32 (fma.f32 (.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/2 binary32)) (sqrt.f32 u1)) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1/2 binary32)))) (*.f32 u1 u1) (sqrt.f32 u1))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 (* -1 u1)))))))
(*.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1)
-1
#s(literal -1 binary32)
(- (pow u1 2) 1)
(fma.f32 u1 u1 #s(literal -1 binary32))
1
#s(literal 1 binary32)
(+ 1 (pow u1 2))
(fma.f32 u1 u1 #s(literal 1 binary32))
(* -1 (+ 1 (/ 1 u1)))
(-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))
(- (* -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 #s(literal -1 binary32) (.f32 u1 u1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))))
(+ (* 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))))
(fma.f32 (.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (+.f32 (/.f32 #s(literal 3/8 binary32) u1) #s(literal 1/2 binary32)) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(+ (* 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)))))
(fma.f32 (.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (+.f32 (/.f32 #s(literal 3/8 binary32) u1) #s(literal 1/2 binary32)) (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 u1 #s(literal 3 binary32))) #s(literal 5/16 binary32) (sqrt.f32 #s(literal -1 binary32)))))
(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) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1))))
(fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (+.f32 (/.f32 #s(literal 3/8 binary32) u1) #s(literal 1/2 binary32)) (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (+ (* 5/16 (/ (sqrt -1) (pow u1 3))) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1)))))
(fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 u1 #s(literal 3 binary32))) #s(literal 5/16 binary32) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (+.f32 (/.f32 #s(literal 3/8 binary32) u1) #s(literal 1/2 binary32)) (sqrt.f32 #s(literal -1 binary32))))
(- 1 (/ 1 u1))
(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal -1/2 binary32) u1) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(+ (* -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 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal -1/2 binary32) u1) (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (/.f32 #s(literal 3/4 binary32) (.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1)) #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 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 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 u1 u1)) #s(literal 3/4 binary32) (/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) u1)) (.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (/.f32 (/.f32 #s(literal 5/8 binary32) (pow.f32 u1 #s(literal 3 binary32))) (sqrt.f32 #s(literal -1 binary32))) #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))))
(* 314159265359/50000000000 (* u2 (sqrt -1)))
(.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) u2) #s(literal 314159265359/50000000000 binary32))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(fma.f32 (/.f32 u2 (.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -314159265359/100000000000 binary32) (.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2) #s(literal 314159265359/50000000000 binary32)))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1)))))
(fma.f32 (/.f32 #s(literal -314159265359/100000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (/.f32 (/.f32 u2 u1) u1) #s(literal 3/4 binary32) (/.f32 u2 u1)) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) u2) #s(literal 314159265359/50000000000 binary32)))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))))
(fma.f32 (/.f32 #s(literal -314159265359/100000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (/.f32 (/.f32 u2 u1) u1) #s(literal 3/4 binary32) (/.f32 u2 u1)) (fma.f32 (/.f32 #s(literal -314159265359/160000000000 binary32) (pow.f32 u1 #s(literal 3 binary32))) (/.f32 u2 (sqrt.f32 #s(literal -1 binary32))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) u2) #s(literal 314159265359/50000000000 binary32))))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(+ (sin (* 314159265359/50000000000 u2)) (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)))
(fma.f32 (/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) u1) #s(literal -1/2 binary32) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (sin (* 314159265359/50000000000 u2)) (+ (* -5/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) u1))))
(fma.f32 (/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) u1) (+.f32 (/.f32 #s(literal -5/8 binary32) u1) #s(literal -1/2 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
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(.f32 (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2)
(* 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))))))))
(.f32 (fma.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (*.f32 u2 u2))) u2)
(* 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)))))))))
(.f32 (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) (.f32 (pow.f32 u2 #s(literal 4 binary32)) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 #s(literal -1 binary32)) (.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) u2) u2)))))) u2)
(* 314159265359/50000000000 (* (* u1 (* u2 (sqrt -1))) (sqrt (/ 1 (- (pow u1 2) u1)))))
(.f32 (.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) u2) u1) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 u1 #s(literal 1 binary32))))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (* u1 (* (pow u2 2) (sqrt -1))) (sqrt (/ 1 (- (pow u1 2) u1))))) (* 314159265359/50000000000 (* (* u1 (sqrt -1)) (sqrt (/ 1 (- (pow u1 2) u1)))))))
(.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (-.f32 u1 #s(literal 1 binary32))))) (fma.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 314159265359/50000000000 binary32)) u1 (.f32 (.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) u2) u2) u1) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) u2)
(* u2 (+ (* 314159265359/50000000000 (* (* u1 (sqrt -1)) (sqrt (/ 1 (- (pow u1 2) u1))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (* u1 (sqrt -1)) (sqrt (/ 1 (- (pow u1 2) u1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* u1 (* (pow u2 2) (sqrt -1))) (sqrt (/ 1 (- (pow u1 2) u1)))))))))
(.f32 (fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (-.f32 u1 #s(literal 1 binary32))))) (.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) (.f32 (.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 (.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) u2) u2) u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 u1 #s(literal 1 binary32)))))))) u2)
(* u2 (+ (* 314159265359/50000000000 (* (* u1 (sqrt -1)) (sqrt (/ 1 (- (pow u1 2) u1))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (* u1 (sqrt -1)) (sqrt (/ 1 (- (pow u1 2) u1))))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (* u1 (* (pow u2 2) (sqrt -1))) (sqrt (/ 1 (- (pow u1 2) u1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* u1 (sqrt -1)) (sqrt (/ 1 (- (pow u1 2) u1)))))))))))
(.f32 (fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (-.f32 u1 #s(literal 1 binary32))))) (.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) (.f32 (pow.f32 u2 #s(literal 4 binary32)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (-.f32 u1 #s(literal 1 binary32))))) (fma.f32 (.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) u1 (.f32 (.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2) u2)) u1))))) u2)
(* 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)
(* (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (sqrt (/ 1 (- 1 (/ 1 u1)))))
(.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1)))))
(.f32 (sqrt.f32 (-.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)))
(* (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 #s(literal 314159265359/50000000000 binary32) u2)))
(* (* u1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (sqrt (/ 1 (- (pow u1 2) u1))))
(.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 u1 #s(literal 1 binary32))))))

rewrite170.0ms (2%)

Memory

-25.6MiB live, 269.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	296
0	86	279
1	316	267
2	2137	267
0	8287	267

Stop Event

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

Counts

24 → 764

Calls

Call 1

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

Outputs
(.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 u1 u1) u1) u1)) u1)
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -2 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -3 binary32)))) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (+.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1))
(.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 (*.f32 u1 u1) u1)) u1) u1)
(.f32 (/.f32 #s(literal 1 binary32) (-.f32 (.f32 u1 u1) u1)) (pow.f32 (/.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal -1 binary32)) #s(literal -1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (-.f32 (.f32 u1 u1) u1)) (pow.f32 (neg.f32 (pow.f32 u1 #s(literal -2 binary32))) #s(literal -1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (-.f32 (.f32 u1 u1) u1)) (*.f32 (neg.f32 u1) u1))
(.f32 (/.f32 #s(literal -1 binary32) (-.f32 (.f32 u1 u1) u1)) (pow.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal -1 binary32)))
(.f32 (/.f32 #s(literal -1 binary32) (-.f32 (.f32 u1 u1) u1)) (*.f32 u1 u1))
(.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)
(*.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) #s(literal -1 binary32))
(*.f32 (neg.f32 u1) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32))))
(.f32 (.f32 u1 u1) (/.f32 #s(literal -1 binary32) (-.f32 (*.f32 u1 u1) u1)))
(*.f32 u1 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 #s(literal 1 binary32) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 #s(literal -1 binary32) (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))))
(/.f32 (neg.f32 (/.f32 #s(literal -1 binary32) (-.f32 (*.f32 u1 u1) u1))) (neg.f32 (pow.f32 u1 #s(literal -2 binary32))))
(/.f32 (neg.f32 (neg.f32 (neg.f32 u1))) (-.f32 u1 #s(literal 1 binary32)))
(/.f32 (neg.f32 (.f32 (neg.f32 u1) u1)) (neg.f32 (-.f32 (.f32 u1 u1) u1)))
(/.f32 (neg.f32 (neg.f32 u1)) (-.f32 #s(literal 1 binary32) u1))
(/.f32 (/.f32 #s(literal -1 binary32) (-.f32 (*.f32 u1 u1) u1)) (pow.f32 u1 #s(literal -2 binary32)))
(/.f32 (.f32 (neg.f32 u1) u1) (-.f32 (.f32 u1 u1) u1))
(/.f32 (neg.f32 u1) (-.f32 u1 #s(literal 1 binary32)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(/.f32 #s(literal 1 binary32) (expm1.f32 (neg.f32 (log.f32 u1))))
(/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
(-.f32 (/.f32 #s(literal 0 binary32) (-.f32 (*.f32 u1 u1) u1)) (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))))
(-.f32 (/.f32 #s(literal 0 binary32) (-.f32 u1 #s(literal 1 binary32))) (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))))
(pow.f32 (expm1.f32 (neg.f32 (log.f32 u1))) #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 (expm1.f32 (neg.f32 (log.f32 u1)))) #s(literal -1 binary32)))
(neg.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (neg.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (neg.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))) (neg.f32 (sqrt.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 #s(literal -1 binary32)))) (neg.f32 (sqrt.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))))
(/.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))
(/.f32 (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (.f32 u1 u1) u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1))
(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 u1 u1) u1) u1))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -2 binary32))))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -3 binary32))))) (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (sqrt.f32 (+.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 (*.f32 u1 u1) u1)) u1)) (sqrt.f32 u1))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))
(.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 u1 u1) u1) u1)) #s(literal 1/2 binary32)) (sqrt.f32 u1))
(*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -2 binary32)))) #s(literal 1/2 binary32)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -3 binary32)))) #s(literal 1/2 binary32)) (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) u1))))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 1/2 binary32)) (sqrt.f32 (+.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))
(.f32 (pow.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 (*.f32 u1 u1) u1)) u1) #s(literal 1/2 binary32)) (sqrt.f32 u1))
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(-.f32 (*.f32 u1 u1) #s(literal 1 binary32))
(fma.f32 (+.f32 u1 #s(literal 1 binary32)) u1 (*.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32))))
(fma.f32 (+.f32 u1 #s(literal 1 binary32)) u1 (*.f32 (+.f32 u1 #s(literal 1 binary32)) #s(literal -1 binary32)))
(fma.f32 (neg.f32 u1) (neg.f32 u1) #s(literal -1 binary32))
(fma.f32 (*.f32 u1 u1) #s(literal 1 binary32) #s(literal -1 binary32))
(fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) (*.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32))))
(fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) #s(literal -1 binary32)))
(fma.f32 u1 u1 #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (*.f32 u1 u1) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal -1 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal -1 binary32))) #s(literal -1 binary32))
(+.f32 (fma.f32 u1 u1 u1) (*.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32))))
(+.f32 (fma.f32 u1 u1 u1) (*.f32 (+.f32 u1 #s(literal 1 binary32)) #s(literal -1 binary32)))
(+.f32 (*.f32 u1 u1) #s(literal -1 binary32))
(+.f32 #s(literal -1 binary32) (*.f32 u1 u1))
(*.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))))
(*.f32 (+.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)) (pow.f32 u1 #s(literal 4 binary32)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal -1 binary32))) (neg.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)) (pow.f32 u1 #s(literal 4 binary32)))))
(/.f32 (neg.f32 (neg.f32 (+.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32)))) (neg.f32 (neg.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)) (pow.f32 u1 #s(literal 4 binary32))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 u1 #s(literal 6 binary32))))) (neg.f32 (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 u1 #s(literal 4 binary32)) (.f32 #s(literal 1 binary32) (.f32 (neg.f32 u1) u1))))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(/.f32 (-.f32 (.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 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))))
(/.f32 (-.f32 (.f32 (pow.f32 u1 #s(literal 4 binary32)) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 (-.f32 (.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) #s(literal 1 binary32))) (pow.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) #s(literal 2 binary32)))
(/.f32 (-.f32 (.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) #s(literal -1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(/.f32 (-.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal -1 binary32)) (fma.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)) (pow.f32 u1 #s(literal 4 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 u1 #s(literal 6 binary32)))) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 u1 #s(literal 4 binary32)) (.f32 #s(literal 1 binary32) (.f32 (neg.f32 u1) u1)))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(/.f32 (neg.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
(/.f32 (neg.f32 (+.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32))) (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 u1) u1 (pow.f32 u1 #s(literal 4 binary32))))))
(/.f32 (neg.f32 (+.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32))) (neg.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)) (pow.f32 u1 #s(literal 4 binary32)))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
(/.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))
(/.f32 (+.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 u1) u1 (pow.f32 u1 #s(literal 4 binary32)))))
(/.f32 (+.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32)) (fma.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)) (pow.f32 u1 #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)) (pow.f32 u1 #s(literal 4 binary32))) (+.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)) (pow.f32 u1 #s(literal 4 binary32))) (+.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32)))))
(-.f32 (/.f32 (pow.f32 u1 #s(literal 6 binary32)) (fma.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)) (pow.f32 u1 #s(literal 4 binary32)))) (/.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)) (pow.f32 u1 #s(literal 4 binary32)))))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 u1 #s(literal 4 binary32)) (.f32 #s(literal 1 binary32) (.f32 (neg.f32 u1) u1))))) (/.f32 (neg.f32 (pow.f32 u1 #s(literal 6 binary32))) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 u1 #s(literal 4 binary32)) (.f32 #s(literal 1 binary32) (.f32 (neg.f32 u1) u1))))))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))
(-.f32 (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))))
(-.f32 (*.f32 u1 u1) #s(literal -1 binary32))
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u1) u1))
(fma.f32 (neg.f32 u1) (neg.f32 u1) #s(literal 1 binary32))
(fma.f32 (*.f32 u1 u1) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 u1 u1 #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (*.f32 u1 u1) #s(literal 1 binary32))
(pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)) (pow.f32 u1 #s(literal 4 binary32))) (+.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32))
(+.f32 (*.f32 u1 u1) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 (neg.f32 u1) u1) #s(literal -1 binary32)))
(+.f32 #s(literal 1 binary32) (neg.f32 (*.f32 (neg.f32 u1) u1)))
(+.f32 #s(literal 1 binary32) (*.f32 u1 u1))

eval126.0ms (1.5%)

Memory: 1.6MiB live, 153.6MiB allocated
Compiler: Compiled 25 654 to 3 411 computations (86.7% saved)

prune67.0ms (0.8%)

Memory

-3.3MiB live, 157.5MiB allocated

Pruning

61 alts after pruning (55 fresh and 6 done)

	Pruned	Kept	Total
New	634	30	664
Fresh	6	25	31
Picked	2	3	5
Done	0	3	3
Total	642	61	703

Accuracy

99.8%

Counts

703 → 61

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.7%	(/.f32 (.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
✓	98.2%	(/.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	83.3%	(/.f32 (.f32 (sqrt.f32 u1) #s(approx (sin ( u2 314159265359/50000000000)) (.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))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	83.3%	(/.f32 (.f32 (sqrt.f32 u1) #s(approx (sin ( u2 314159265359/50000000000)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
▶	98.2%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
	98.1%	(/.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))))))
	97.4%	(.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) (.f32 (sqrt.f32 u1) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
	97.9%	(.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 (.f32 u1 u1) u1))) (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	39.0%	(.f32 (/.f32 (sqrt.f32 (-.f32 (.f32 (.f32 (neg.f32 u1) u1) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1)) (.f32 (-.f32 #s(literal -1 binary32) (.f32 u1 u1)) #s(literal 1 binary32)))) (sqrt.f32 (.f32 (-.f32 #s(literal -1 binary32) (.f32 u1 u1)) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	67.1%	(.f32 (/.f32 (sqrt.f32 (-.f32 (.f32 (.f32 u1 u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (neg.f32 u1)))) (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	97.9%	(.f32 (/.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
▶	98.2%	(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	74.3%	(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (neg.f32 #s(approx (/ (- u1 1) u1) (/.f32 #s(literal -1 binary32) u1))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.1%	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.1%	(.f32 (.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 (.f32 u1 u1) u1))) u1) (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)))
	83.2%	(.f32 (.f32 (sqrt.f32 u1) #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (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)))
	38.2%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	98.2%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	83.3%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) 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)))
	83.3%	(.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)))
✓	98.2%	(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 u1 u1) u1) (.f32 u1 u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	98.3%	(.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)))
	66.2%	(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) #s(approx (/ (- u1 1) 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)))
	90.4%	(.f32 (sqrt.f32 (-.f32 #s(approx (/ ( u1 u1) (+ (* u1 u1) 1)) (.f32 u1 u1)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	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)))
	98.2%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.2%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 (.f32 u1 u1) u1)) (.f32 u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	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)))
	74.4%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	83.4%	#s(approx (* (sqrt (/ u1 (- 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))
	83.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
	83.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
✓	83.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	66.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	66.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (.f32 (.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
	66.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
	75.0%	#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (sqrt.f32 (-.f32 (.f32 (.f32 (neg.f32 u1) u1) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1)) (.f32 (-.f32 #s(literal -1 binary32) (.f32 u1 u1)) #s(literal 1 binary32)))) (sqrt.f32 (.f32 (-.f32 #s(literal -1 binary32) (.f32 u1 u1)) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1)))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	77.4%	#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (sqrt.f32 (-.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 u1 u1))) (neg.f32 u1)))) (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 u1 u1))) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	75.2%	#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (-.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))))) u2) #s(literal 314159265359/50000000000 binary32)))
	75.0%	#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	66.4%	#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	74.9%	#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 u1 u1)))) u1)) (.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (fma.f32 u1 u1 #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	77.6%	#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) u1) (.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (-.f32 u1 #s(literal 1 binary32))))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	77.6%	#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 (.f32 (neg.f32 u1) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (.f32 (-.f32 #s(literal -1 binary32) (.f32 u1 u1)) (neg.f32 u1))) (.f32 (-.f32 #s(literal -1 binary32) (.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	78.1%	#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 (.f32 u1 u1) (-.f32 u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	75.2%	#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) u1)) (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	75.0%	#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 u1 u1))) u1)) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 u1 u1))) (fma.f32 u1 u1 #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	66.3%	#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (-.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 u1 (fma.f32 (+.f32 u1 #s(literal 1 binary32)) u1 (.f32 (+.f32 u1 #s(literal 1 binary32)) #s(literal -1 binary32)))))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	78.2%	#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (-.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 u1 (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	69.5%	#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (-.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 u1 #s(approx (+ (* u1 u1) -1) (.f32 u1 (fma.f32 (/.f32 #s(literal -1 binary32) (.f32 u1 u1)) u1 u1)))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	75.1%	#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (-.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 u1 #s(approx (+ (* u1 u1) -1) #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	75.0%	#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (-.f32 (.f32 u1 (/.f32 u1 (-.f32 (.f32 u1 u1) #s(literal -1 binary32)))) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	75.1%	#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (.f32 u1 (-.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	3.5%	#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (sqrt (- ( u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 5/8 binary32) u1) #s(literal 1/2 binary32)) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	4.0%	#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (sqrt (- ( u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	20.2%	#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	19.8%	#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 u2 u1) #s(literal -314159265359/100000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
	4.0%	#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (* 314159265359/50000000000 u2)) (-.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 (fma.f32 #s(literal 314159265359/80000000000 binary32) (/.f32 u2 u1) (.f32 #s(literal 314159265359/100000000000 binary32) u2)) u1))))
▶	19.8%	#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Compiler

Compiled 3 782 to 2 524 computations (33.3% saved)

simplify155.0ms (1.9%)

Memory

2.0MiB live, 228.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
cost-diff	0	(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
cost-diff	0	(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
cost-diff	2	(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	1	(*.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))
cost-diff	1	(-.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) u1))
cost-diff	4	(*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) u1)
cost-diff	5	(/.f32 (-.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) u1)) (*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))
cost-diff	0	(-.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 u1 #s(approx (+ ( u1 u1) -1) #s(literal -1 binary32))))
cost-diff	0	(sqrt.f32 (-.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 u1 #s(approx (+ ( u1 u1) -1) #s(literal -1 binary32)))))
cost-diff	0	(.f32 (sqrt.f32 (-.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 u1 #s(approx (+ (* u1 u1) -1) #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
cost-diff	0	#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (-.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 u1 #s(approx (+ (* u1 u1) -1) #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	0	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
cost-diff	0	#s(approx (* (sqrt (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
cost-diff	0	#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	0	(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
cost-diff	0	(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
cost-diff	0	(/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
cost-diff	2	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	517
0	84	510
1	149	496
2	310	460
3	1049	451
4	5002	451
0	8707	450

Stop Event

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

Calls

Call 1

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

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

localize132.0ms (1.6%)

Memory

10.3MiB live, 263.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.15552258277819156	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy	0.27734375	(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
accuracy	0.3359375	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.36328125	(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.3561325195368841	(/.f32 (-.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) u1)) (*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))
accuracy	4.251685177836636	(fma.f32 u1 u1 #s(literal 1 binary32))
accuracy	4.633810681601626	(fma.f32 u1 u1 #s(literal -1 binary32))
accuracy	5.014171232508157	#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) u1)) (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.34765625	(.f32 (sqrt.f32 (-.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 u1 #s(approx (+ (* u1 u1) -1) #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy	4.251685177836636	(fma.f32 u1 u1 #s(literal 1 binary32))
accuracy	4.633810681601626	#s(approx (+ (* u1 u1) -1) #s(literal -1 binary32))
accuracy	5.014171232508157	#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (-.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 u1 #s(approx (+ (* u1 u1) -1) #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.3359375	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	5.014171232508157	#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	25.545052864464463	#s(approx (* (sqrt (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy	0.15552258277819156	(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
accuracy	0.2578125	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
accuracy	0.3359375	(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
accuracy	0.35775375976844204	(/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))

Samples

102.0ms

256×

valid

Compiler

Compiled 461 to 42 computations (90.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-add: 26.0ms (30.6% of total)

ival-div: 17.0ms (20% of total)

ival-mult: 15.0ms (17.7% of total)

ival-sub: 10.0ms (11.8% of total)

ival-sin: 6.0ms (7.1% of total)

ival-sqrt: 6.0ms (7.1% of total)

const: 5.0ms (5.9% of total)

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

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

exact: 0.0ms (0% of total)

series31.0ms (0.4%)

Memory

8.9MiB live, 82.8MiB allocated

Counts

24 → 117

Calls

Call 1

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

Outputs
(* (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 (/ 1 u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))
(/ (+ (* -1/2 (* (sqrt (pow u1 3)) (/ 1 (sin (* 314159265359/50000000000 u2))))) (* (sqrt u1) (/ 1 (sin (* 314159265359/50000000000 u2))))) u1)
(/ (+ (* (sqrt u1) (/ 1 (sin (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))) (* -1/8 (* (sqrt u1) (/ 1 (sin (* 314159265359/50000000000 u2)))))))) u1)
(/ (+ (* (sqrt u1) (/ 1 (sin (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))) (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sin (* 314159265359/50000000000 u2))))) (* -1/16 (* (sqrt (/ 1 u1)) (/ 1 (sin (* 314159265359/50000000000 u2)))))))))) u1)
(sqrt (/ 1 u1))
(/ (+ (sqrt u1) (* -1/2 (sqrt (pow u1 3)))) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/8 (sqrt u1))))) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (* -1/16 (sqrt (/ 1 u1)))))))) u1)
(/ 1 u1)
(/ (+ 1 (* -1 u1)) u1)
(+ (* (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)))))))))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt u1) u2)) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* -314159265359/100000000000 (* (sqrt u1) (* u2 (+ 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) 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 u1) (+ 1 (* 1/4 (/ 1 u1))))) (* 1/2 (sqrt (/ 1 u1))))))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 (* -1 u1)))))))
1
(+ 1 (pow u1 2))
-1
(- (* -1 u1) 1)
(- (* u1 (- (* -1 u1) 1)) 1)
(- (* u1 (- (* u1 (- u1 1)) 1)) 1)
(* -1 u1)
(* u1 (- (pow u1 2) 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))))))))))
(- (pow u1 2) 1)
(* (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) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (/ 1 (* u1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2))))
(- (+ (/ 1/2 (* u1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2)))) (/ 1/8 (* (pow u1 2) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 3)))))
(- (+ (/ 1/2 (* u1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* 1/16 (/ 1 (* (pow u1 3) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 5))))) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2))))) (* 1/8 (/ 1 (* (pow u1 2) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 3))))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (/ 1/2 (* u1 (sqrt -1)))) (/ 1/8 (* (pow u1 2) (pow (sqrt -1) 3))))
(- (+ (sqrt -1) (+ (/ 1/2 (* u1 (sqrt -1))) (* 1/16 (/ 1 (* (pow u1 3) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow u1 2) (pow (sqrt -1) 3)))))
(- (/ 1 u1) 1)
(sin (* 314159265359/50000000000 u2))
(+ (sin (* 314159265359/50000000000 u2)) (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)))
(+ (sin (* 314159265359/50000000000 u2)) (+ (* -5/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) u1))))
(+ (sin (* 314159265359/50000000000 u2)) (+ (* -13/16 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 3))) (+ (* -5/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)))))
(* 314159265359/50000000000 u2)
(+ (* -314159265359/100000000000 (/ u2 u1)) (* 314159265359/50000000000 u2))
(+ (* -314159265359/80000000000 (/ u2 (pow u1 2))) (+ (* -314159265359/100000000000 (/ u2 u1)) (* 314159265359/50000000000 u2)))
(+ (* -4084070449667/800000000000 (/ u2 (pow u1 3))) (+ (* -314159265359/80000000000 (/ u2 (pow u1 2))) (+ (* -314159265359/100000000000 (/ u2 u1)) (* 314159265359/50000000000 u2))))
(- 1 (* 1/2 (/ 1 u1)))
(+ 1 (* -1 (/ (+ 1/2 (* 5/8 (/ 1 u1))) u1)))
(- (+ 1 (* -1 (/ (+ 5/8 (* 13/16 (/ 1 u1))) (pow u1 2)))) (* 1/2 (/ 1 u1)))
(- 1 (/ 1 u1))
(+ 1 (* -1 (/ (+ 1 (/ 1 u1)) u1)))
(- (+ 1 (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2)))) (/ 1 u1))
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 (pow u1 2))))
(pow u1 3)
(* (pow u1 3) (- 1 (/ 1 u1)))
(* (pow u1 3) (+ 1 (* -1 (/ (+ 1 (/ 1 u1)) u1))))
(* (pow u1 3) (- (+ 1 (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2)))) (/ 1 u1)))
(* (pow u1 3) (- 1 (/ 1 (pow u1 2))))
(- (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))))
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(/ (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)))
(+ (* -1/2 (/ (sqrt -1) (* u1 (sin (* 314159265359/50000000000 u2))))) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2))))
(+ (* -1 (/ (+ (* 1/8 (/ (sqrt -1) (* u1 (sin (* 314159265359/50000000000 u2))))) (* 1/2 (/ (sqrt -1) (sin (* 314159265359/50000000000 u2))))) u1)) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (sqrt -1) (sin (* 314159265359/50000000000 u2)))) (* -1/16 (/ (sqrt -1) (* u1 (sin (* 314159265359/50000000000 u2)))))) u1)) (* 1/2 (/ (sqrt -1) (sin (* 314159265359/50000000000 u2))))) u1)) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2))))
(+ (sqrt -1) (* -1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* 1/8 (/ (sqrt -1) u1)) (* 1/2 (sqrt -1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt -1)) (* -1/16 (/ (sqrt -1) u1))) u1)) (* 1/2 (sqrt -1))) u1)))
(+ (sin (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* 1/2 (sin (* 314159265359/50000000000 u2))) (* 5/8 (/ (sin (* 314159265359/50000000000 u2)) u1))) u1)))
(+ (sin (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1 (/ (+ (* -13/16 (/ (sin (* 314159265359/50000000000 u2)) u1)) (* -5/8 (sin (* 314159265359/50000000000 u2)))) u1)) (* 1/2 (sin (* 314159265359/50000000000 u2)))) u1)))
(+ (* -1 (/ (+ (* 314159265359/100000000000 u2) (* 314159265359/80000000000 (/ u2 u1))) u1)) (* 314159265359/50000000000 u2))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -4084070449667/800000000000 (/ u2 u1)) (* -314159265359/80000000000 u2)) u1)) (* 314159265359/100000000000 u2)) u1)) (* 314159265359/50000000000 u2))
(+ 1 (* -1 (/ (+ 1/2 (+ (/ 13/16 (pow u1 2)) (* 5/8 (/ 1 u1)))) u1)))
(+ 1 (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)))
(* -1 (* (pow u1 3) (- (/ 1 u1) 1)))
(* -1 (* (pow u1 3) (- (+ (/ 1 u1) (/ 1 (pow u1 2))) 1)))
(* -1 (* (pow u1 3) (- (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1)) 1)))
(* -1 (* (pow u1 3) (- (/ 1 (pow u1 2)) 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)))
(* 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))))))))))
(* 50000000000/314159265359 (* (sqrt (/ (- 1 u1) u1)) (/ 1 u2)))
(/ (+ (* 50000000000/314159265359 (sqrt (/ (- 1 u1) u1))) (* 314159265359/300000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2)))) u2)
(/ (+ (* 50000000000/314159265359 (sqrt (/ (- 1 u1) u1))) (* (pow u2 2) (+ (* 314159265359/300000000000 (sqrt (/ (- 1 u1) u1))) (* 217043936762141594974494696480642953/45000000000000000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2)))))) u2)
(/ (+ (* 50000000000/314159265359 (sqrt (/ (- 1 u1) u1))) (* (pow u2 2) (+ (* 314159265359/300000000000 (sqrt (/ (- 1 u1) u1))) (* (pow u2 2) (+ (* 217043936762141594974494696480642953/45000000000000000000000000000000000 (sqrt (/ (- 1 u1) u1))) (* 94866102283468468214242596731956544828795783500316272114769/4725000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2)))))))) u2)
(* 314159265359/50000000000 (* u2 (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1))))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1)))))) (* 314159265359/50000000000 (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1))))))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1))))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1)))))))))))
(* 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 (/ (- 1 u1) u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1)))))

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	u1	@	-inf	((/ 1 (/ (sqrt (/ (- 1 u1) u1)) (sin (* u2 314159265359/50000000000)))) (/ (sqrt (/ (- 1 u1) u1)) (sin (* u2 314159265359/50000000000))) (sqrt (/ (- 1 u1) u1)) (/ (- 1 u1) u1) (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (* 314159265359/50000000000 u2)) (sqrt (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1))) (/ (- (* u1 (+ (* u1 u1) -1)) (* (/ (+ (* u1 u1) 1) u1) u1)) (* (/ (+ (* u1 u1) 1) u1) (+ (* u1 u1) -1))) (* (/ (+ (* u1 u1) 1) u1) u1) (- (* u1 (+ (* u1 u1) -1)) (* (/ (+ (* u1 u1) 1) u1) u1)) (* u1 (+ (* u1 u1) -1)) (* (/ 1 (sqrt (/ (- 1 u1) u1))) (sin (* 314159265359/50000000000 u2))) (/ 1 (sqrt (/ (- 1 u1) u1))) (* u2 314159265359/50000000000) (sin (* u2 314159265359/50000000000)) (+ (* u1 u1) -1) (+ (* u1 u1) 1) (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (+ (* u1 u1) -1) (sin (* 314159265359/50000000000 u2)))
6.0ms	u2	@	inf	((/ 1 (/ (sqrt (/ (- 1 u1) u1)) (sin (* u2 314159265359/50000000000)))) (/ (sqrt (/ (- 1 u1) u1)) (sin (* u2 314159265359/50000000000))) (sqrt (/ (- 1 u1) u1)) (/ (- 1 u1) u1) (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (* 314159265359/50000000000 u2)) (sqrt (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1))) (/ (- (* u1 (+ (* u1 u1) -1)) (* (/ (+ (* u1 u1) 1) u1) u1)) (* (/ (+ (* u1 u1) 1) u1) (+ (* u1 u1) -1))) (* (/ (+ (* u1 u1) 1) u1) u1) (- (* u1 (+ (* u1 u1) -1)) (* (/ (+ (* u1 u1) 1) u1) u1)) (* u1 (+ (* u1 u1) -1)) (* (/ 1 (sqrt (/ (- 1 u1) u1))) (sin (* 314159265359/50000000000 u2))) (/ 1 (sqrt (/ (- 1 u1) u1))) (* u2 314159265359/50000000000) (sin (* u2 314159265359/50000000000)) (+ (* u1 u1) -1) (+ (* u1 u1) 1) (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (+ (* u1 u1) -1) (sin (* 314159265359/50000000000 u2)))
5.0ms	u1	@	inf	((/ 1 (/ (sqrt (/ (- 1 u1) u1)) (sin (* u2 314159265359/50000000000)))) (/ (sqrt (/ (- 1 u1) u1)) (sin (* u2 314159265359/50000000000))) (sqrt (/ (- 1 u1) u1)) (/ (- 1 u1) u1) (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (* 314159265359/50000000000 u2)) (sqrt (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1))) (/ (- (* u1 (+ (* u1 u1) -1)) (* (/ (+ (* u1 u1) 1) u1) u1)) (* (/ (+ (* u1 u1) 1) u1) (+ (* u1 u1) -1))) (* (/ (+ (* u1 u1) 1) u1) u1) (- (* u1 (+ (* u1 u1) -1)) (* (/ (+ (* u1 u1) 1) u1) u1)) (* u1 (+ (* u1 u1) -1)) (* (/ 1 (sqrt (/ (- 1 u1) u1))) (sin (* 314159265359/50000000000 u2))) (/ 1 (sqrt (/ (- 1 u1) u1))) (* u2 314159265359/50000000000) (sin (* u2 314159265359/50000000000)) (+ (* u1 u1) -1) (+ (* u1 u1) 1) (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (+ (* u1 u1) -1) (sin (* 314159265359/50000000000 u2)))
3.0ms	u2	@	-inf	((/ 1 (/ (sqrt (/ (- 1 u1) u1)) (sin (* u2 314159265359/50000000000)))) (/ (sqrt (/ (- 1 u1) u1)) (sin (* u2 314159265359/50000000000))) (sqrt (/ (- 1 u1) u1)) (/ (- 1 u1) u1) (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (* 314159265359/50000000000 u2)) (sqrt (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1))) (/ (- (* u1 (+ (* u1 u1) -1)) (* (/ (+ (* u1 u1) 1) u1) u1)) (* (/ (+ (* u1 u1) 1) u1) (+ (* u1 u1) -1))) (* (/ (+ (* u1 u1) 1) u1) u1) (- (* u1 (+ (* u1 u1) -1)) (* (/ (+ (* u1 u1) 1) u1) u1)) (* u1 (+ (* u1 u1) -1)) (* (/ 1 (sqrt (/ (- 1 u1) u1))) (sin (* 314159265359/50000000000 u2))) (/ 1 (sqrt (/ (- 1 u1) u1))) (* u2 314159265359/50000000000) (sin (* u2 314159265359/50000000000)) (+ (* u1 u1) -1) (+ (* u1 u1) 1) (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (+ (* u1 u1) -1) (sin (* 314159265359/50000000000 u2)))
2.0ms	u2	@	0	((/ 1 (/ (sqrt (/ (- 1 u1) u1)) (sin (* u2 314159265359/50000000000)))) (/ (sqrt (/ (- 1 u1) u1)) (sin (* u2 314159265359/50000000000))) (sqrt (/ (- 1 u1) u1)) (/ (- 1 u1) u1) (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (* 314159265359/50000000000 u2)) (sqrt (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1))) (/ (- (* u1 (+ (* u1 u1) -1)) (* (/ (+ (* u1 u1) 1) u1) u1)) (* (/ (+ (* u1 u1) 1) u1) (+ (* u1 u1) -1))) (* (/ (+ (* u1 u1) 1) u1) u1) (- (* u1 (+ (* u1 u1) -1)) (* (/ (+ (* u1 u1) 1) u1) u1)) (* u1 (+ (* u1 u1) -1)) (* (/ 1 (sqrt (/ (- 1 u1) u1))) (sin (* 314159265359/50000000000 u2))) (/ 1 (sqrt (/ (- 1 u1) u1))) (* u2 314159265359/50000000000) (sin (* u2 314159265359/50000000000)) (+ (* u1 u1) -1) (+ (* u1 u1) 1) (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (+ (* u1 u1) -1) (sin (* 314159265359/50000000000 u2)))

simplify200.0ms (2.4%)

Memory

11.9MiB live, 288.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	519	2356
1	1500	2131
2	4549	1950
0	8203	1843

Stop Event

1×	iter limit
1×	node limit

Counts

117 → 116

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 (/ 1 u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))
(/ (+ (* -1/2 (* (sqrt (pow u1 3)) (/ 1 (sin (* 314159265359/50000000000 u2))))) (* (sqrt u1) (/ 1 (sin (* 314159265359/50000000000 u2))))) u1)
(/ (+ (* (sqrt u1) (/ 1 (sin (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))) (* -1/8 (* (sqrt u1) (/ 1 (sin (* 314159265359/50000000000 u2)))))))) u1)
(/ (+ (* (sqrt u1) (/ 1 (sin (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))) (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sin (* 314159265359/50000000000 u2))))) (* -1/16 (* (sqrt (/ 1 u1)) (/ 1 (sin (* 314159265359/50000000000 u2)))))))))) u1)
(sqrt (/ 1 u1))
(/ (+ (sqrt u1) (* -1/2 (sqrt (pow u1 3)))) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/8 (sqrt u1))))) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (* -1/16 (sqrt (/ 1 u1)))))))) u1)
(/ 1 u1)
(/ (+ 1 (* -1 u1)) u1)
(+ (* (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)))))))))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt u1) u2)) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* -314159265359/100000000000 (* (sqrt u1) (* u2 (+ 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) 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 u1) (+ 1 (* 1/4 (/ 1 u1))))) (* 1/2 (sqrt (/ 1 u1))))))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 (* -1 u1)))))))
1
(+ 1 (pow u1 2))
-1
(- (* -1 u1) 1)
(- (* u1 (- (* -1 u1) 1)) 1)
(- (* u1 (- (* u1 (- u1 1)) 1)) 1)
(* -1 u1)
(* u1 (- (pow u1 2) 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))))))))))
(- (pow u1 2) 1)
(* (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) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (/ 1 (* u1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2))))
(- (+ (/ 1/2 (* u1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2)))) (/ 1/8 (* (pow u1 2) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 3)))))
(- (+ (/ 1/2 (* u1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* 1/16 (/ 1 (* (pow u1 3) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 5))))) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2))))) (* 1/8 (/ 1 (* (pow u1 2) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 3))))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (/ 1/2 (* u1 (sqrt -1)))) (/ 1/8 (* (pow u1 2) (pow (sqrt -1) 3))))
(- (+ (sqrt -1) (+ (/ 1/2 (* u1 (sqrt -1))) (* 1/16 (/ 1 (* (pow u1 3) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow u1 2) (pow (sqrt -1) 3)))))
(- (/ 1 u1) 1)
(sin (* 314159265359/50000000000 u2))
(+ (sin (* 314159265359/50000000000 u2)) (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)))
(+ (sin (* 314159265359/50000000000 u2)) (+ (* -5/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) u1))))
(+ (sin (* 314159265359/50000000000 u2)) (+ (* -13/16 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 3))) (+ (* -5/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)))))
(* 314159265359/50000000000 u2)
(+ (* -314159265359/100000000000 (/ u2 u1)) (* 314159265359/50000000000 u2))
(+ (* -314159265359/80000000000 (/ u2 (pow u1 2))) (+ (* -314159265359/100000000000 (/ u2 u1)) (* 314159265359/50000000000 u2)))
(+ (* -4084070449667/800000000000 (/ u2 (pow u1 3))) (+ (* -314159265359/80000000000 (/ u2 (pow u1 2))) (+ (* -314159265359/100000000000 (/ u2 u1)) (* 314159265359/50000000000 u2))))
(- 1 (* 1/2 (/ 1 u1)))
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(- (+ 1 (* -1 (/ (+ 5/8 (* 13/16 (/ 1 u1))) (pow u1 2)))) (* 1/2 (/ 1 u1)))
(- 1 (/ 1 u1))
(+ 1 (* -1 (/ (+ 1 (/ 1 u1)) u1)))
(- (+ 1 (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2)))) (/ 1 u1))
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 (pow u1 2))))
(pow u1 3)
(* (pow u1 3) (- 1 (/ 1 u1)))
(* (pow u1 3) (+ 1 (* -1 (/ (+ 1 (/ 1 u1)) u1))))
(* (pow u1 3) (- (+ 1 (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2)))) (/ 1 u1)))
(* (pow u1 3) (- 1 (/ 1 (pow u1 2))))
(- (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))))
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(/ (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)))
(+ (* -1/2 (/ (sqrt -1) (* u1 (sin (* 314159265359/50000000000 u2))))) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2))))
(+ (* -1 (/ (+ (* 1/8 (/ (sqrt -1) (* u1 (sin (* 314159265359/50000000000 u2))))) (* 1/2 (/ (sqrt -1) (sin (* 314159265359/50000000000 u2))))) u1)) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (sqrt -1) (sin (* 314159265359/50000000000 u2)))) (* -1/16 (/ (sqrt -1) (* u1 (sin (* 314159265359/50000000000 u2)))))) u1)) (* 1/2 (/ (sqrt -1) (sin (* 314159265359/50000000000 u2))))) u1)) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2))))
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(+ (sin (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1 (/ (+ (* -13/16 (/ (sin (* 314159265359/50000000000 u2)) u1)) (* -5/8 (sin (* 314159265359/50000000000 u2)))) u1)) (* 1/2 (sin (* 314159265359/50000000000 u2)))) u1)))
(+ (* -1 (/ (+ (* 314159265359/100000000000 u2) (* 314159265359/80000000000 (/ u2 u1))) u1)) (* 314159265359/50000000000 u2))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -4084070449667/800000000000 (/ u2 u1)) (* -314159265359/80000000000 u2)) u1)) (* 314159265359/100000000000 u2)) u1)) (* 314159265359/50000000000 u2))
(+ 1 (* -1 (/ (+ 1/2 (+ (/ 13/16 (pow u1 2)) (* 5/8 (/ 1 u1)))) u1)))
(+ 1 (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)))
(* -1 (* (pow u1 3) (- (/ 1 u1) 1)))
(* -1 (* (pow u1 3) (- (+ (/ 1 u1) (/ 1 (pow u1 2))) 1)))
(* -1 (* (pow u1 3) (- (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1)) 1)))
(* -1 (* (pow u1 3) (- (/ 1 (pow u1 2)) 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)))
(* 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))))))))))
(* 50000000000/314159265359 (* (sqrt (/ (- 1 u1) u1)) (/ 1 u2)))
(/ (+ (* 50000000000/314159265359 (sqrt (/ (- 1 u1) u1))) (* 314159265359/300000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2)))) u2)
(/ (+ (* 50000000000/314159265359 (sqrt (/ (- 1 u1) u1))) (* (pow u2 2) (+ (* 314159265359/300000000000 (sqrt (/ (- 1 u1) u1))) (* 217043936762141594974494696480642953/45000000000000000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2)))))) u2)
(/ (+ (* 50000000000/314159265359 (sqrt (/ (- 1 u1) u1))) (* (pow u2 2) (+ (* 314159265359/300000000000 (sqrt (/ (- 1 u1) u1))) (* (pow u2 2) (+ (* 217043936762141594974494696480642953/45000000000000000000000000000000000 (sqrt (/ (- 1 u1) u1))) (* 94866102283468468214242596731956544828795783500316272114769/4725000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2)))))))) u2)
(* 314159265359/50000000000 (* u2 (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1))))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1)))))) (* 314159265359/50000000000 (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1))))))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1))))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1)))))))))))
(* 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 (/ (- 1 u1) u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1)))))

Outputs
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 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 #s(literal 1/2 binary32) (.f32 u1 u1)) (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (.f32 (sqrt.f32 u1) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) 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)))))))))
(fma.f32 (.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (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 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))))
(* (sqrt (/ 1 u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/ (+ (* -1/2 (* (sqrt (pow u1 3)) (/ 1 (sin (* 314159265359/50000000000 u2))))) (* (sqrt u1) (/ 1 (sin (* 314159265359/50000000000 u2))))) u1)
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (sqrt.f32 u1))) u1)
(/ (+ (* (sqrt u1) (/ 1 (sin (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))) (* -1/8 (* (sqrt u1) (/ 1 (sin (* 314159265359/50000000000 u2)))))))) u1)
(/.f32 (fma.f32 (.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/8 binary32) (sqrt.f32 u1)))) (.f32 u1 u1) (/.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) u1)
(/ (+ (* (sqrt u1) (/ 1 (sin (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))) (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sin (* 314159265359/50000000000 u2))))) (* -1/16 (* (sqrt (/ 1 u1)) (/ 1 (sin (* 314159265359/50000000000 u2)))))))))) u1)
(/.f32 (fma.f32 (fma.f32 (.f32 (.f32 u1 u1) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))) #s(literal -1/8 binary32) (.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (fma.f32 (.f32 u1 u1) #s(literal -1/16 binary32) #s(literal -1/2 binary32)))) (.f32 u1 u1) (/.f32 (sqrt.f32 u1) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))) u1)
(sqrt (/ 1 u1))
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(/ (+ (sqrt u1) (* -1/2 (sqrt (pow u1 3)))) u1)
(/.f32 (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (sqrt.f32 u1)) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/8 (sqrt u1))))) u1)
(/.f32 (fma.f32 (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/8 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1)) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (* -1/16 (sqrt (/ 1 u1)))))))) u1)
(/.f32 (fma.f32 (fma.f32 (.f32 (.f32 u1 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) #s(literal -1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 (.f32 u1 u1) #s(literal -1/16 binary32) #s(literal -1/2 binary32)))) (*.f32 u1 u1) (sqrt.f32 u1)) u1)
(/ 1 u1)
(/.f32 #s(literal 1 binary32) u1)
(/ (+ 1 (* -1 u1)) u1)
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(-.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 (-.f32 (/.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 (.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (+.f32 (/.f32 #s(literal -1/16 binary32) u1) #s(literal -1/8 binary32))) u1)) u1))
(+ (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 (/ (+ (* 1/8 (/ (sqrt -1) u1)) (* 1/2 (sqrt -1))) u1)))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/8 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32))) u1))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt -1)) (* -1/16 (/ (sqrt -1) u1))) u1)) (* 1/2 (sqrt -1))) u1)))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (-.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) (/.f32 (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal -1/16 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1/8 binary32))) u1)) u1))
(+ (sin (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* 1/2 (sin (* 314159265359/50000000000 u2))) (* 5/8 (/ (sin (* 314159265359/50000000000 u2)) u1))) u1)))
(-.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (fma.f32 #s(literal 5/8 binary32) (/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) u1) (.f32 #s(literal 1/2 binary32) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))) u1))
(+ (sin (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1 (/ (+ (* -13/16 (/ (sin (* 314159265359/50000000000 u2)) u1)) (* -5/8 (sin (* 314159265359/50000000000 u2)))) u1)) (* 1/2 (sin (* 314159265359/50000000000 u2)))) u1)))
(-.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 (fma.f32 #s(literal -13/16 binary32) (/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) u1) (.f32 #s(literal -5/8 binary32) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))) u1)) u1))
(+ (* -1 (/ (+ (* 314159265359/100000000000 u2) (* 314159265359/80000000000 (/ u2 u1))) u1)) (* 314159265359/50000000000 u2))
(-.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 (fma.f32 #s(literal 314159265359/80000000000 binary32) (/.f32 u2 u1) (.f32 #s(literal 314159265359/100000000000 binary32) u2)) u1))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -4084070449667/800000000000 (/ u2 u1)) (* -314159265359/80000000000 u2)) u1)) (* 314159265359/100000000000 u2)) u1)) (* 314159265359/50000000000 u2))
(-.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 (-.f32 (.f32 #s(literal 314159265359/100000000000 binary32) u2) (/.f32 (fma.f32 #s(literal -4084070449667/800000000000 binary32) (/.f32 u2 u1) (*.f32 #s(literal -314159265359/80000000000 binary32) u2)) u1)) u1))
(+ 1 (* -1 (/ (+ 1/2 (+ (/ 13/16 (pow u1 2)) (* 5/8 (/ 1 u1)))) u1)))
(-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 13/16 binary32) u1) u1) #s(literal 1/2 binary32)) (/.f32 #s(literal 5/8 binary32) u1)) u1))
(+ 1 (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)))
(+.f32 (/.f32 (-.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) (/.f32 (/.f32 #s(literal 1 binary32) u1) u1)) u1) #s(literal 1 binary32))
(* -1 (* (pow u1 3) (- (/ 1 u1) 1)))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (pow.f32 u1 #s(literal 3 binary32)))
(* -1 (* (pow u1 3) (- (+ (/ 1 u1) (/ 1 (pow u1 2))) 1)))
(fma.f32 (/.f32 #s(literal -1 binary32) u1) (pow.f32 u1 #s(literal 3 binary32)) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) u1))
(* -1 (* (pow u1 3) (- (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1)) 1)))
(*.f32 (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)) u1))) (pow.f32 u1 #s(literal 3 binary32)))
(* -1 (* (pow u1 3) (- (/ 1 (pow u1 2)) 1)))
(-.f32 (pow.f32 u1 #s(literal 3 binary32)) u1)
(/ 1 (sqrt -1))
(/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))
(+ (/ 1 (sqrt -1)) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(+.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))
(+ (/ 3/8 (* (pow u1 2) (sqrt -1))) (+ (/ 1/2 (* u1 (sqrt -1))) (/ 1 (sqrt -1))))
(+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) u1))) (/.f32 #s(literal 3/8 binary32) (.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1)))
(+ (* -1 (/ (- (* -1 (/ (+ (* 3/8 (/ 1 (sqrt -1))) (* 5/16 (/ 1 (* u1 (sqrt -1))))) u1)) (* 1/2 (/ 1 (sqrt -1)))) u1)) (/ 1 (sqrt -1)))
(-.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (+.f32 (/.f32 #s(literal 5/16 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (/.f32 #s(literal 3/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1)) u1))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(.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)
(* 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)) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #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 #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))))))))))
(.f32 (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (.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)
(* 50000000000/314159265359 (* (sqrt (/ (- 1 u1) u1)) (/ 1 u2)))
(*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) u2) #s(literal 50000000000/314159265359 binary32))
(/ (+ (* 50000000000/314159265359 (sqrt (/ (- 1 u1) u1))) (* 314159265359/300000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2)))) u2)
(/.f32 (.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (fma.f32 #s(literal 314159265359/300000000000 binary32) (.f32 u2 u2) #s(literal 50000000000/314159265359 binary32))) u2)
(/ (+ (* 50000000000/314159265359 (sqrt (/ (- 1 u1) u1))) (* (pow u2 2) (+ (* 314159265359/300000000000 (sqrt (/ (- 1 u1) u1))) (* 217043936762141594974494696480642953/45000000000000000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2)))))) u2)
(/.f32 (fma.f32 (.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (fma.f32 #s(literal 217043936762141594974494696480642953/45000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 314159265359/300000000000 binary32))) (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal 50000000000/314159265359 binary32))) u2)
(/ (+ (* 50000000000/314159265359 (sqrt (/ (- 1 u1) u1))) (* (pow u2 2) (+ (* 314159265359/300000000000 (sqrt (/ (- 1 u1) u1))) (* (pow u2 2) (+ (* 217043936762141594974494696480642953/45000000000000000000000000000000000 (sqrt (/ (- 1 u1) u1))) (* 94866102283468468214242596731956544828795783500316272114769/4725000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2)))))))) u2)
(/.f32 (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (fma.f32 #s(literal 94866102283468468214242596731956544828795783500316272114769/4725000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 217043936762141594974494696480642953/45000000000000000000000000000000000 binary32))) (.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (fma.f32 #s(literal 314159265359/300000000000 binary32) (.f32 u2 u2) #s(literal 50000000000/314159265359 binary32)))) u2)
(* 314159265359/50000000000 (* u2 (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1))))))
(.f32 (sqrt.f32 (-.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1)))))) (* 314159265359/50000000000 (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1)))))))
(.f32 (sqrt.f32 (-.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2))
(* u2 (+ (* 314159265359/50000000000 (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1))))))))))
(.f32 (fma.f32 (sqrt.f32 (-.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))))) (.f32 (.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2) (.f32 (sqrt.f32 (-.f32 (*.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))))) #s(literal 314159265359/50000000000 binary32))) u2)
(* u2 (+ (* 314159265359/50000000000 (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1))))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1)))))))))))
(.f32 (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (.f32 (sqrt.f32 (-.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))))) (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (.f32 (sqrt.f32 (-.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)))) u2)
(* 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 #s(literal 314159265359/50000000000 binary32) u2)))
(* (sqrt (/ (- 1 u1) u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))
(/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1)))))
(.f32 (sqrt.f32 (-.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)))

rewrite210.0ms (2.5%)

Memory

-39.1MiB live, 286.1MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	54	368
0	84	365
1	325	344
2	2568	343
0	8680	343

Stop Event

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

Counts

24 → 615

Calls

Call 1

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

Outputs
(.f32 (/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(.f32 (pow.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1/2 binary32)) (pow.f32 (.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1/2 binary32)))
(.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (pow.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))) #s(literal -1 binary32)))
(.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (neg.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(.f32 (pow.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 1 binary32)) #s(literal -1 binary32)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (pow.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(.f32 #s(literal 1 binary32) (.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal -1 binary32))) (neg.f32 (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))))
(/.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (neg.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(/.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal -1 binary32)) (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(/.f32 (neg.f32 (neg.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (neg.f32 (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))))
(/.f32 (neg.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 #s(literal -1 binary32) (/.f32 (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))))
(pow.f32 (exp.f32 (log.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))) #s(literal -1 binary32))
(pow.f32 (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) #s(literal -1/2 binary32))
(pow.f32 (pow.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(pow.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal -1 binary32))
(exp.f32 (.f32 (log.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))) #s(literal -1 binary32)))
(neg.f32 (/.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(.f32 (pow.f32 (/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal -1 binary32)) (pow.f32 u1 #s(literal -1/2 binary32)))
(.f32 (pow.f32 (pow.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1/2 binary32)) #s(literal -1 binary32)) (pow.f32 (pow.f32 (.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1/2 binary32)) #s(literal -1 binary32)))
(.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(.f32 (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (/.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(.f32 #s(literal -1 binary32) (pow.f32 (/.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))) #s(literal -1 binary32)))
(.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (pow.f32 (pow.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)) #s(literal -1 binary32)))
(.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (/.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 (neg.f32 (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))) (neg.f32 (sqrt.f32 u1)))
(/.f32 (neg.f32 (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))) (neg.f32 (.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))) (neg.f32 (neg.f32 (neg.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))))
(/.f32 (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (sqrt.f32 u1))
(/.f32 (neg.f32 (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))) (neg.f32 (.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))))
(/.f32 (neg.f32 (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))) (neg.f32 (neg.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(/.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))))
(/.f32 (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)) (.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(/.f32 (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (neg.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 (/.f32 (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal -1 binary32))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 1 binary32))
(/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(-.f32 (/.f32 #s(literal 0 binary32) (.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (/.f32 (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(-.f32 #s(literal 0 binary32) (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 1 binary32))
(exp.f32 (neg.f32 (.f32 (log.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))) #s(literal -1 binary32))))
(exp.f32 (.f32 (.f32 (log.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) #s(literal -1 binary32)) #s(literal -1 binary32)))
(exp.f32 (.f32 (log.f32 (.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) #s(literal -1 binary32)))
(neg.f32 (/.f32 (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (sqrt.f32 (-.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 u1))))
(*.f32 (sqrt.f32 (-.f32 u1 #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (neg.f32 u1)) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32)) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32)))
(*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (pow.f32 u1 #s(literal -1/2 binary32)))
(*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
(/.f32 (neg.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (neg.f32 (neg.f32 (sqrt.f32 u1))))
(/.f32 (neg.f32 (sqrt.f32 (-.f32 u1 #s(literal 1 binary32)))) (neg.f32 (sqrt.f32 (neg.f32 u1))))
(/.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))
(/.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(/.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))) (sqrt.f32 u1))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 u1 #s(literal -3 binary32)) #s(literal 1 binary32))) (sqrt.f32 (+.f32 (pow.f32 u1 #s(literal -2 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
(/.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) #s(literal 1 binary32))) (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1)))
(/.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1 binary32))) (sqrt.f32 (.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) u1)))
(/.f32 (sqrt.f32 (-.f32 u1 (.f32 u1 u1))) (sqrt.f32 (.f32 u1 u1)))
(/.f32 (sqrt.f32 (-.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (neg.f32 u1)))
(/.f32 (sqrt.f32 (neg.f32 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 (neg.f32 (neg.f32 u1))))
(/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (neg.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (neg.f32 (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))) #s(literal 1 binary32))
(/.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (sqrt.f32 u1)))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (sqrt.f32 (fma.f32 u1 u1 u1)))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (sqrt.f32 (*.f32 u1 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(literal -1 binary32))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))
(/.f32 #s(literal -1 binary32) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(-.f32 #s(literal 0 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal -1 binary32)))
(pow.f32 (exp.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(literal 1/2 binary32))
(pow.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal 1/4 binary32))
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32))
(pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal -1 binary32))
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eval141.0ms (1.7%)

Memory: 41.9MiB live, 188.5MiB allocated
Compiler: Compiled 43 520 to 4 595 computations (89.4% saved)

prune94.0ms (1.1%)

Memory

-6.7MiB live, 154.7MiB allocated

Pruning

73 alts after pruning (64 fresh and 9 done)

	Pruned	Kept	Total
New	899	30	929
Fresh	16	34	50
Picked	1	4	5
Done	1	5	6
Total	917	73	990

Accuracy

99.9%

Counts

990 → 73

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.2%	(pow.f32 (pow.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1/2 binary32)) #s(literal 2 binary32))
	96.8%	(pow.f32 (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) #s(literal -1/2 binary32))
	97.7%	(/.f32 (.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
✓	98.2%	(/.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	83.3%	(/.f32 (.f32 (sqrt.f32 u1) #s(approx (sin ( u2 314159265359/50000000000)) (.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))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	83.3%	(/.f32 (.f32 (sqrt.f32 u1) #s(approx (sin ( u2 314159265359/50000000000)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	98.2%	(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
	98.3%	(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
	98.2%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sqrt.f32 (-.f32 u1 (.f32 u1 u1))) (sqrt.f32 (.f32 u1 u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
	98.0%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
	98.1%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
✓	98.2%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
	83.4%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(approx (sin (* u2 314159265359/50000000000)) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2))))
	98.1%	(/.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))))))
	74.5%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 #s(approx (/ (- 1 u1) u1) (/.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
	98.1%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
	83.3%	(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (/ (- 1 u1) u1)) (sin (* u2 314159265359/50000000000))) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) u2) #s(literal 50000000000/314159265359 binary32))))
	97.9%	(.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 (.f32 u1 u1) u1))) (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	66.9%	(.f32 (/.f32 (sqrt.f32 (-.f32 (.f32 (.f32 u1 u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (neg.f32 u1)))) (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	97.9%	(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.1%	(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	98.2%	(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.1%	(.f32 (.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 (.f32 u1 u1) u1))) u1) (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)))
	98.1%	(.f32 (.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	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)))
	38.4%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	98.2%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	83.3%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) 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)))
	83.3%	(.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)))
✓	98.3%	(.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)))
	66.2%	(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) #s(approx (/ (- u1 1) 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)))
	90.4%	(.f32 (sqrt.f32 (-.f32 #s(approx (/ ( u1 u1) (+ (* u1 u1) 1)) (.f32 u1 u1)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.2%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.2%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 (.f32 u1 u1) u1)) (.f32 u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	96.3%	(.f32 (exp.f32 (.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal -1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	74.4%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	83.4%	#s(approx (/ 1 (/ (sqrt (/ (- 1 u1) u1)) (sin (* u2 314159265359/50000000000)))) (.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))
	83.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
	83.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
✓	83.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	66.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	66.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (.f32 (.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
	66.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
	75.0%	#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (sqrt.f32 (-.f32 (.f32 (.f32 (neg.f32 u1) u1) (/.f32 #s(approx (+ ( u1 u1) -1) #s(literal -1 binary32)) u1)) (.f32 (-.f32 #s(literal -1 binary32) (.f32 u1 u1)) #s(literal 1 binary32)))) (sqrt.f32 (.f32 (-.f32 #s(literal -1 binary32) (.f32 u1 u1)) (/.f32 #s(approx (+ (* u1 u1) -1) #s(literal -1 binary32)) u1)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	77.4%	#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (sqrt.f32 (-.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 u1 u1))) (neg.f32 u1)))) (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 u1 u1))) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	75.2%	#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (-.f32 (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1) (/.f32 u1 #s(approx (+ ( u1 u1) -1) #s(literal -1 binary32))))) u2) #s(literal 314159265359/50000000000 binary32)))
	66.2%	#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (neg.f32 u1) #s(approx (+ (* u1 u1) -1) #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	19.7%	#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (fma.f32 #s(literal -1 binary32) (/.f32 u1 #s(approx (+ ( u1 u1) -1) #s(literal -1 binary32))) (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	83.4%	#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 (/.f32 (.f32 (-.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (+.f32 u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal 1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	74.9%	#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 u1 u1)))) u1)) (.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (fma.f32 u1 u1 #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	77.6%	#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) u1) (.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (-.f32 u1 #s(literal 1 binary32))))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	77.6%	#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 (.f32 (neg.f32 u1) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (.f32 (-.f32 #s(literal -1 binary32) (.f32 u1 u1)) (neg.f32 u1))) (.f32 (-.f32 #s(literal -1 binary32) (.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	78.1%	#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 (.f32 u1 u1) (-.f32 u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	83.5%	#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) u1)) (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	19.8%	#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) #s(approx (* (/ (+ (* u1 u1) 1) u1) u1) (.f32 u1 u1))) (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	75.2%	#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 u1 (fma.f32 #s(literal 1 binary32) (.f32 u1 u1) #s(literal -1 binary32))) (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) u1)) (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	74.2%	#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 (neg.f32 (/.f32 (-.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal -1 binary32)))) (/.f32 (-.f32 #s(literal -1 binary32) (.f32 u1 u1)) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	83.3%	#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 (neg.f32 (.f32 (-.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	75.1%	#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 #s(approx (- ( u1 (+ (* u1 u1) -1)) (* (/ (+ (* u1 u1) 1) u1) u1)) (-.f32 #s(literal -1 binary32) u1)) (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	66.2%	#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 #s(approx (- ( u1 (+ (* u1 u1) -1)) (* (/ (+ (* u1 u1) 1) u1) u1)) #s(literal -1 binary32)) (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	66.3%	#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (-.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 u1 (fma.f32 (+.f32 u1 #s(literal 1 binary32)) u1 (.f32 (+.f32 u1 #s(literal 1 binary32)) #s(literal -1 binary32)))))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	78.2%	#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (-.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 u1 (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	69.7%	#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (-.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 u1 #s(approx (+ (* u1 u1) -1) (.f32 u1 (fma.f32 (/.f32 #s(literal -1 binary32) (.f32 u1 u1)) u1 u1)))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	75.1%	#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (-.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 u1 #s(approx (+ (* u1 u1) -1) #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	75.0%	#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (-.f32 (.f32 u1 (/.f32 u1 (-.f32 (.f32 u1 u1) #s(literal -1 binary32)))) (/.f32 u1 #s(approx (+ ( u1 u1) -1) #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	3.5%	#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (sqrt (- ( u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 5/8 binary32) u1) #s(literal 1/2 binary32)) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	4.0%	#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (sqrt (- ( u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	20.2%	#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	19.8%	#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 u2 u1) #s(literal -314159265359/100000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
	19.8%	#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 u2 u1) #s(literal -314159265359/100000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
	4.0%	#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (* 314159265359/50000000000 u2)) (-.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 (fma.f32 #s(literal 314159265359/80000000000 binary32) (/.f32 u2 u1) (.f32 #s(literal 314159265359/100000000000 binary32) u2)) u1))))
✓	19.8%	#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Compiler

Compiled 5 941 to 2 197 computations (63% saved)

regimes336.0ms (4%)

Memory

-2.3MiB live, 474.0MiB allocated

Counts

118 → 1

Calls

Call 1

Inputs
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (.f32 (.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 u2 u1) #s(literal -314159265359/100000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 u2 u1) #s(literal -314159265359/100000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (sqrt (- ( u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (sqrt (- ( u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 5/8 binary32) u1) #s(literal 1/2 binary32)) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (* 314159265359/50000000000 u2)) (-.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 (fma.f32 #s(literal 314159265359/80000000000 binary32) (/.f32 u2 u1) (.f32 #s(literal 314159265359/100000000000 binary32) u2)) u1))))
(/.f32 (.f32 (sqrt.f32 u1) #s(approx (sin ( u2 314159265359/50000000000)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 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) u1)) (sin (* u2 314159265359/50000000000)))) (.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 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 #s(literal 1 binary32) #s(approx (/ (sqrt (/ (- 1 u1) u1)) (sin (* u2 314159265359/50000000000))) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) u2) #s(literal 50000000000/314159265359 binary32))))
(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) #s(approx (/ (- u1 1) 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 #s(approx (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (.f32 (.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (-.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 u1 #s(approx (+ (* u1 u1) -1) #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (-.f32 (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1) (/.f32 u1 #s(approx (+ ( u1 u1) -1) #s(literal -1 binary32))))) u2) #s(literal 314159265359/50000000000 binary32)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (-.f32 (.f32 u1 (/.f32 u1 (-.f32 (.f32 u1 u1) #s(literal -1 binary32)))) (/.f32 u1 #s(approx (+ ( u1 u1) -1) #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 #s(approx (- ( u1 (+ (* u1 u1) -1)) (* (/ (+ (* u1 u1) 1) u1) u1)) #s(literal -1 binary32)) (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (fma.f32 #s(literal -1 binary32) (/.f32 u1 #s(approx (+ ( u1 u1) -1) #s(literal -1 binary32))) (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (neg.f32 u1) #s(approx (+ (* u1 u1) -1) #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (.f32 u1 (-.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (-.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 #s(approx (- ( u1 (+ (* u1 u1) -1)) (* (/ (+ (* u1 u1) 1) u1) u1)) (-.f32 #s(literal -1 binary32) u1)) (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (-.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))))) u2) #s(literal 314159265359/50000000000 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(approx (sin (* u2 314159265359/50000000000)) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2))))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (-.f32 (.f32 u1 (/.f32 u1 (-.f32 (.f32 u1 u1) #s(literal -1 binary32)))) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (-.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 u1 (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (.f32 (sqrt.f32 u1) #s(approx (sin ( u2 314159265359/50000000000)) (.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))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))) (.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 (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)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (-.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 u1 (fma.f32 (+.f32 u1 #s(literal 1 binary32)) u1 (.f32 (+.f32 u1 #s(literal 1 binary32)) #s(literal -1 binary32)))))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (.f32 (sqrt.f32 u1) #s(approx (sin ( u2 314159265359/50000000000)) (.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.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) #s(approx (* (/ (+ (* u1 u1) 1) u1) u1) (.f32 u1 u1))) (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (-.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 u1 #s(approx (+ (* u1 u1) -1) (.f32 u1 (fma.f32 (/.f32 #s(literal -1 binary32) (.f32 u1 u1)) u1 u1)))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
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(pow.f32 (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) #s(literal -1/2 binary32))
(.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 (pow.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))) (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)))

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

Calls

8 calls:

61.0ms	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
53.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
50.0ms	cosTheta_i
38.0ms	u1
34.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Results

Accuracy	Segments	Branch
98.3%	1	`cosTheta_i`
98.3%	1	`u1`
98.3%	1	`u2`
98.3%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
98.3%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
98.3%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
98.3%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
98.3%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes155.0ms (1.9%)

Memory

9.9MiB live, 296.4MiB allocated

Counts

59 → 1

Calls

Call 1

Inputs
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (.f32 (.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 u2 u1) #s(literal -314159265359/100000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 u2 u1) #s(literal -314159265359/100000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (sqrt (- ( u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (sqrt (- ( u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 5/8 binary32) u1) #s(literal 1/2 binary32)) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (* 314159265359/50000000000 u2)) (-.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 (fma.f32 #s(literal 314159265359/80000000000 binary32) (/.f32 u2 u1) (.f32 #s(literal 314159265359/100000000000 binary32) u2)) u1))))
(/.f32 (.f32 (sqrt.f32 u1) #s(approx (sin ( u2 314159265359/50000000000)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 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) u1)) (sin (* u2 314159265359/50000000000)))) (.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 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 #s(literal 1 binary32) #s(approx (/ (sqrt (/ (- 1 u1) u1)) (sin (* u2 314159265359/50000000000))) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) u2) #s(literal 50000000000/314159265359 binary32))))
(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) #s(approx (/ (- u1 1) 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 #s(approx (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (.f32 (.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (-.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 u1 #s(approx (+ (* u1 u1) -1) #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (-.f32 (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1) (/.f32 u1 #s(approx (+ ( u1 u1) -1) #s(literal -1 binary32))))) u2) #s(literal 314159265359/50000000000 binary32)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (-.f32 (.f32 u1 (/.f32 u1 (-.f32 (.f32 u1 u1) #s(literal -1 binary32)))) (/.f32 u1 #s(approx (+ ( u1 u1) -1) #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 #s(approx (- ( u1 (+ (* u1 u1) -1)) (* (/ (+ (* u1 u1) 1) u1) u1)) #s(literal -1 binary32)) (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (fma.f32 #s(literal -1 binary32) (/.f32 u1 #s(approx (+ ( u1 u1) -1) #s(literal -1 binary32))) (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (neg.f32 u1) #s(approx (+ (* u1 u1) -1) #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (.f32 u1 (-.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (-.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 #s(approx (- ( u1 (+ (* u1 u1) -1)) (* (/ (+ (* u1 u1) 1) u1) u1)) (-.f32 #s(literal -1 binary32) u1)) (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (-.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))))) u2) #s(literal 314159265359/50000000000 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(approx (sin (* u2 314159265359/50000000000)) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2))))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (-.f32 (.f32 u1 (/.f32 u1 (-.f32 (.f32 u1 u1) #s(literal -1 binary32)))) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (-.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 u1 (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (.f32 (sqrt.f32 u1) #s(approx (sin ( u2 314159265359/50000000000)) (.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))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))) (.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 (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)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (-.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 u1 (fma.f32 (+.f32 u1 #s(literal 1 binary32)) u1 (.f32 (+.f32 u1 #s(literal 1 binary32)) #s(literal -1 binary32)))))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (.f32 (sqrt.f32 u1) #s(approx (sin ( u2 314159265359/50000000000)) (.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.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) #s(approx (* (/ (+ (* u1 u1) 1) u1) u1) (.f32 u1 u1))) (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (-.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 u1 #s(approx (+ (* u1 u1) -1) (.f32 u1 (fma.f32 (/.f32 #s(literal -1 binary32) (.f32 u1 u1)) u1 u1)))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 (.f32 u1 u1) (-.f32 u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 (neg.f32 (.f32 (-.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 (.f32 (neg.f32 u1) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (.f32 (-.f32 #s(literal -1 binary32) (.f32 u1 u1)) (neg.f32 u1))) (.f32 (-.f32 #s(literal -1 binary32) (.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 (neg.f32 (/.f32 (-.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal -1 binary32)))) (/.f32 (-.f32 #s(literal -1 binary32) (.f32 u1 u1)) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) u1)) (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 (/.f32 (.f32 (-.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (+.f32 u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal 1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) u1)) (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 u1 u1))) u1)) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 u1 u1))) (fma.f32 u1 u1 #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 u1 (fma.f32 #s(literal 1 binary32) (.f32 u1 u1) #s(literal -1 binary32))) (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) u1)) (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 u1 u1)))) u1)) (.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (fma.f32 u1 u1 #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (sqrt.f32 (-.f32 (.f32 (.f32 (neg.f32 u1) u1) (/.f32 #s(approx (+ ( u1 u1) -1) #s(literal -1 binary32)) u1)) (.f32 (-.f32 #s(literal -1 binary32) (.f32 u1 u1)) #s(literal 1 binary32)))) (sqrt.f32 (.f32 (-.f32 #s(literal -1 binary32) (.f32 u1 u1)) (/.f32 #s(approx (+ (* u1 u1) -1) #s(literal -1 binary32)) u1)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) u1) (.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (-.f32 u1 #s(literal 1 binary32))))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (sqrt.f32 (-.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 u1 u1))) (neg.f32 u1)))) (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 u1 u1))) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (sqrt.f32 (-.f32 (.f32 (.f32 (neg.f32 u1) u1) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1)) (.f32 (-.f32 #s(literal -1 binary32) (.f32 u1 u1)) #s(literal 1 binary32)))) (sqrt.f32 (.f32 (-.f32 #s(literal -1 binary32) (.f32 u1 u1)) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1)))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 (sqrt.f32 u1) #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 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 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) 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)))

Calls

8 calls:

32.0ms	u1
21.0ms	(*.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)))
17.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Results

Accuracy	Segments	Branch
98.2%	1	`cosTheta_i`
98.2%	1	`u1`
98.2%	1	`u2`
98.2%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
98.2%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
98.2%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
98.2%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
98.2%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes130.0ms (1.6%)

Memory

5.4MiB live, 239.1MiB allocated

Counts

57 → 2

Calls

Call 1

Inputs
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (.f32 (.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 u2 u1) #s(literal -314159265359/100000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 u2 u1) #s(literal -314159265359/100000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (sqrt (- ( u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (sqrt (- ( u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 5/8 binary32) u1) #s(literal 1/2 binary32)) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (* 314159265359/50000000000 u2)) (-.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 (fma.f32 #s(literal 314159265359/80000000000 binary32) (/.f32 u2 u1) (.f32 #s(literal 314159265359/100000000000 binary32) u2)) u1))))
(/.f32 (.f32 (sqrt.f32 u1) #s(approx (sin ( u2 314159265359/50000000000)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 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) u1)) (sin (* u2 314159265359/50000000000)))) (.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 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 #s(literal 1 binary32) #s(approx (/ (sqrt (/ (- 1 u1) u1)) (sin (* u2 314159265359/50000000000))) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) u2) #s(literal 50000000000/314159265359 binary32))))
(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) #s(approx (/ (- u1 1) 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 #s(approx (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (.f32 (.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (-.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 u1 #s(approx (+ (* u1 u1) -1) #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (-.f32 (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1) (/.f32 u1 #s(approx (+ ( u1 u1) -1) #s(literal -1 binary32))))) u2) #s(literal 314159265359/50000000000 binary32)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (-.f32 (.f32 u1 (/.f32 u1 (-.f32 (.f32 u1 u1) #s(literal -1 binary32)))) (/.f32 u1 #s(approx (+ ( u1 u1) -1) #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 #s(approx (- ( u1 (+ (* u1 u1) -1)) (* (/ (+ (* u1 u1) 1) u1) u1)) #s(literal -1 binary32)) (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (fma.f32 #s(literal -1 binary32) (/.f32 u1 #s(approx (+ ( u1 u1) -1) #s(literal -1 binary32))) (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (neg.f32 u1) #s(approx (+ (* u1 u1) -1) #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (.f32 u1 (-.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (-.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 #s(approx (- ( u1 (+ (* u1 u1) -1)) (* (/ (+ (* u1 u1) 1) u1) u1)) (-.f32 #s(literal -1 binary32) u1)) (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (-.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))))) u2) #s(literal 314159265359/50000000000 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(approx (sin (* u2 314159265359/50000000000)) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2))))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (-.f32 (.f32 u1 (/.f32 u1 (-.f32 (.f32 u1 u1) #s(literal -1 binary32)))) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (-.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 u1 (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (.f32 (sqrt.f32 u1) #s(approx (sin ( u2 314159265359/50000000000)) (.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))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))) (.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 (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)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (-.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 u1 (fma.f32 (+.f32 u1 #s(literal 1 binary32)) u1 (.f32 (+.f32 u1 #s(literal 1 binary32)) #s(literal -1 binary32)))))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (.f32 (sqrt.f32 u1) #s(approx (sin ( u2 314159265359/50000000000)) (.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.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) #s(approx (* (/ (+ (* u1 u1) 1) u1) u1) (.f32 u1 u1))) (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (-.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 u1 #s(approx (+ (* u1 u1) -1) (.f32 u1 (fma.f32 (/.f32 #s(literal -1 binary32) (.f32 u1 u1)) u1 u1)))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 (.f32 u1 u1) (-.f32 u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 (neg.f32 (.f32 (-.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 (.f32 (neg.f32 u1) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (.f32 (-.f32 #s(literal -1 binary32) (.f32 u1 u1)) (neg.f32 u1))) (.f32 (-.f32 #s(literal -1 binary32) (.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 (neg.f32 (/.f32 (-.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal -1 binary32)))) (/.f32 (-.f32 #s(literal -1 binary32) (.f32 u1 u1)) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) u1)) (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 (/.f32 (.f32 (-.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (+.f32 u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal 1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) u1)) (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 u1 u1))) u1)) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 u1 u1))) (fma.f32 u1 u1 #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 u1 (fma.f32 #s(literal 1 binary32) (.f32 u1 u1) #s(literal -1 binary32))) (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) u1)) (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 u1 u1)))) u1)) (.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (fma.f32 u1 u1 #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (sqrt.f32 (-.f32 (.f32 (.f32 (neg.f32 u1) u1) (/.f32 #s(approx (+ ( u1 u1) -1) #s(literal -1 binary32)) u1)) (.f32 (-.f32 #s(literal -1 binary32) (.f32 u1 u1)) #s(literal 1 binary32)))) (sqrt.f32 (.f32 (-.f32 #s(literal -1 binary32) (.f32 u1 u1)) (/.f32 #s(approx (+ (* u1 u1) -1) #s(literal -1 binary32)) u1)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) u1) (.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (-.f32 u1 #s(literal 1 binary32))))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (sqrt.f32 (-.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 u1 u1))) (neg.f32 u1)))) (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 u1 u1))) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (sqrt.f32 (-.f32 (.f32 (.f32 (neg.f32 u1) u1) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1)) (.f32 (-.f32 #s(literal -1 binary32) (.f32 u1 u1)) #s(literal 1 binary32)))) (sqrt.f32 (.f32 (-.f32 #s(literal -1 binary32) (.f32 u1 u1)) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1)))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 (sqrt.f32 u1) #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))

Outputs

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

21.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
16.0ms	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
16.0ms	cosTheta_i
15.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
15.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Results

Accuracy	Segments	Branch
89.5%	2	`u1`
90.1%	2	`u2`
83.5%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
89.5%	2	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
89.5%	2	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
89.2%	2	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
90.1%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
83.5%	1	`cosTheta_i`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes108.0ms (1.3%)

Memory

-2.7MiB live, 236.6MiB allocated

Counts

55 → 1

Calls

Call 1

Inputs
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (.f32 (.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 u2 u1) #s(literal -314159265359/100000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 u2 u1) #s(literal -314159265359/100000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (sqrt (- ( u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (sqrt (- ( u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 5/8 binary32) u1) #s(literal 1/2 binary32)) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (* 314159265359/50000000000 u2)) (-.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 (fma.f32 #s(literal 314159265359/80000000000 binary32) (/.f32 u2 u1) (.f32 #s(literal 314159265359/100000000000 binary32) u2)) u1))))
(/.f32 (.f32 (sqrt.f32 u1) #s(approx (sin ( u2 314159265359/50000000000)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 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) u1)) (sin (* u2 314159265359/50000000000)))) (.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 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 #s(literal 1 binary32) #s(approx (/ (sqrt (/ (- 1 u1) u1)) (sin (* u2 314159265359/50000000000))) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) u2) #s(literal 50000000000/314159265359 binary32))))
(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) #s(approx (/ (- u1 1) 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 #s(approx (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (.f32 (.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (-.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 u1 #s(approx (+ (* u1 u1) -1) #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (-.f32 (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1) (/.f32 u1 #s(approx (+ ( u1 u1) -1) #s(literal -1 binary32))))) u2) #s(literal 314159265359/50000000000 binary32)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (-.f32 (.f32 u1 (/.f32 u1 (-.f32 (.f32 u1 u1) #s(literal -1 binary32)))) (/.f32 u1 #s(approx (+ ( u1 u1) -1) #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 #s(approx (- ( u1 (+ (* u1 u1) -1)) (* (/ (+ (* u1 u1) 1) u1) u1)) #s(literal -1 binary32)) (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (fma.f32 #s(literal -1 binary32) (/.f32 u1 #s(approx (+ ( u1 u1) -1) #s(literal -1 binary32))) (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (neg.f32 u1) #s(approx (+ (* u1 u1) -1) #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (.f32 u1 (-.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (-.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 #s(approx (- ( u1 (+ (* u1 u1) -1)) (* (/ (+ (* u1 u1) 1) u1) u1)) (-.f32 #s(literal -1 binary32) u1)) (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (-.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))))) u2) #s(literal 314159265359/50000000000 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(approx (sin (* u2 314159265359/50000000000)) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2))))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (-.f32 (.f32 u1 (/.f32 u1 (-.f32 (.f32 u1 u1) #s(literal -1 binary32)))) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (-.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 u1 (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (.f32 (sqrt.f32 u1) #s(approx (sin ( u2 314159265359/50000000000)) (.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))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))) (.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 (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)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (-.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 u1 (fma.f32 (+.f32 u1 #s(literal 1 binary32)) u1 (.f32 (+.f32 u1 #s(literal 1 binary32)) #s(literal -1 binary32)))))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (.f32 (sqrt.f32 u1) #s(approx (sin ( u2 314159265359/50000000000)) (.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.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) #s(approx (* (/ (+ (* u1 u1) 1) u1) u1) (.f32 u1 u1))) (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (-.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 u1 #s(approx (+ (* u1 u1) -1) (.f32 u1 (fma.f32 (/.f32 #s(literal -1 binary32) (.f32 u1 u1)) u1 u1)))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 (.f32 u1 u1) (-.f32 u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 (neg.f32 (.f32 (-.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 (.f32 (neg.f32 u1) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (.f32 (-.f32 #s(literal -1 binary32) (.f32 u1 u1)) (neg.f32 u1))) (.f32 (-.f32 #s(literal -1 binary32) (.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 (neg.f32 (/.f32 (-.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal -1 binary32)))) (/.f32 (-.f32 #s(literal -1 binary32) (.f32 u1 u1)) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) u1)) (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 (/.f32 (.f32 (-.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (+.f32 u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal 1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) u1)) (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 u1 u1))) u1)) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 u1 u1))) (fma.f32 u1 u1 #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 u1 (fma.f32 #s(literal 1 binary32) (.f32 u1 u1) #s(literal -1 binary32))) (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) u1)) (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 u1 u1)))) u1)) (.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (fma.f32 u1 u1 #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (sqrt.f32 (-.f32 (.f32 (.f32 (neg.f32 u1) u1) (/.f32 #s(approx (+ ( u1 u1) -1) #s(literal -1 binary32)) u1)) (.f32 (-.f32 #s(literal -1 binary32) (.f32 u1 u1)) #s(literal 1 binary32)))) (sqrt.f32 (.f32 (-.f32 #s(literal -1 binary32) (.f32 u1 u1)) (/.f32 #s(approx (+ (* u1 u1) -1) #s(literal -1 binary32)) u1)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) u1) (.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (-.f32 u1 #s(literal 1 binary32))))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (sqrt.f32 (-.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 u1 u1))) (neg.f32 u1)))) (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 u1 u1))) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (sqrt.f32 (-.f32 (.f32 (.f32 (neg.f32 u1) u1) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1)) (.f32 (-.f32 #s(literal -1 binary32) (.f32 u1 u1)) #s(literal 1 binary32)))) (sqrt.f32 (.f32 (-.f32 #s(literal -1 binary32) (.f32 u1 u1)) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1)))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

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

Calls

7 calls:

16.0ms	u2
16.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
15.0ms	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
15.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
14.0ms	u1

Results

Accuracy	Segments	Branch
83.5%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
83.5%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
83.5%	1	`u1`
83.5%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
83.5%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
83.5%	1	`u2`
83.5%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 31 to 41 computations (-32.3% saved)

regimes29.0ms (0.3%)

Memory

-16.6MiB live, 61.1MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (.f32 (.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 u2 u1) #s(literal -314159265359/100000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 u2 u1) #s(literal -314159265359/100000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (sqrt (- ( u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
83.4%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
83.4%	1	`cosTheta_i`
83.4%	1	`u2`
83.4%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
83.4%	1	`u1`
83.4%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
83.4%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
83.4%	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)

regimes25.0ms (0.3%)

Memory

16.6MiB live, 55.3MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (.f32 (.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 u2 u1) #s(literal -314159265359/100000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 u2 u1) #s(literal -314159265359/100000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (sqrt (- ( u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
83.3%	1	`cosTheta_i`
83.3%	1	`u2`
83.3%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
83.3%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
83.3%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
83.3%	1	`u1`
83.3%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
83.3%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes29.0ms (0.3%)

Memory

0.7MiB live, 45.9MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (.f32 (.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 u2 u1) #s(literal -314159265359/100000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 u2 u1) #s(literal -314159265359/100000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (sqrt (- ( u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Outputs

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

Calls

8 calls:

10.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
3.0ms	(.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	u1

Results

Accuracy	Segments	Branch
66.3%	1	`cosTheta_i`
66.3%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
66.3%	1	`u2`
66.3%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
66.3%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
66.3%	1	`u1`
66.3%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
66.3%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes13.0ms (0.2%)

Memory

-9.7MiB live, 29.0MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

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

Outputs

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

Calls

8 calls:

3.0ms	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	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
1.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
1.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Results

Accuracy	Segments	Branch
66.2%	1	`cosTheta_i`
66.2%	1	`u2`
66.2%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
66.2%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
66.2%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
66.2%	1	`u1`
66.2%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
66.2%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes10.0ms (0.1%)

Memory

-15.5MiB live, 23.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs

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

Outputs

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

Calls

8 calls:

2.0ms	u2
1.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
1.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
1.0ms	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
1.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
19.8%	1	`cosTheta_i`
19.8%	1	`u2`
19.8%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
19.8%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
19.8%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
19.8%	1	`u1`
19.8%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
19.8%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

bsearch1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0166279599070549	0.017084205523133278

Compiler

Compiled 14 to 17 computations (-21.4% saved)

simplify54.0ms (0.6%)

Memory

3.8MiB live, 42.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	238
1	86	238
2	118	238
3	180	238
4	403	238
5	807	238
6	2735	238
7	5397	238

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(.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 4563403/268435456 binary32)) #s(approx ( (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) 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))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (.f32 (.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Outputs
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(.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 4563403/268435456 binary32)) #s(approx ( (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) 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))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (.f32 (.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (- (* u1 (/ u1 (+ (* u1 u1) 1))) (/ u1 (+ (* u1 u1) -1)))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))

soundness1.3s (15.7%)

Memory

11.0MiB live, 595.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	296
0	86	279
1	316	267
2	2137	267
0	8287	267
0	482	2368
1	1505	2105
2	4766	1876
0	8038	1760
0	202	815
1	602	725
2	1761	652
3	5215	599
4	7627	598
0	8026	569
0	10	32
0	16	32
1	46	32
2	237	32
3	1954	32
0	9734	32
0	54	368
0	84	365
1	325	344
2	2568	343
0	8680	343
0	40	196
0	67	201
1	214	187
2	1471	187
0	8149	183
0	515	2625
1	1618	2336
2	5259	2095
0	8129	1967

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

Compiler

Compiled 364 to 191 computations (47.5% saved)

preprocess61.0ms (0.7%)

Memory

8.0MiB live, 45.4MiB allocated

Remove

(negabs u2)

(abs cosTheta_i)

Compiler

Compiled 586 to 236 computations (59.7% 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	10	36
0	16	36
1	22	36
2	26	36
3	31	36
4	38	36
5	48	36
6	63	36
7	86	36
8	108	36
9	116	36
10	118	36
0	118	36

start0.0ms (0%)

analyze299.0ms (3.6%)

sample1.9s (22.9%)

explain113.0ms (1.4%)

preprocess46.0ms (0.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0.1%)

localize75.0ms (0.9%)

series8.0ms (0.1%)

simplify250.0ms (3%)

rewrite251.0ms (3%)

eval117.0ms (1.4%)

prune46.0ms (0.5%)

simplify155.0ms (1.9%)

localize226.0ms (2.7%)

series44.0ms (0.5%)

simplify199.0ms (2.4%)

rewrite232.0ms (2.8%)

eval114.0ms (1.4%)

prune100.0ms (1.2%)

simplify109.0ms (1.3%)

localize172.0ms (2.1%)

series39.0ms (0.5%)

simplify239.0ms (2.9%)

rewrite170.0ms (2%)

eval126.0ms (1.5%)

prune67.0ms (0.8%)

simplify155.0ms (1.9%)

localize132.0ms (1.6%)

series31.0ms (0.4%)

simplify200.0ms (2.4%)

rewrite210.0ms (2.5%)

eval141.0ms (1.7%)

prune94.0ms (1.1%)

regimes336.0ms (4%)

regimes155.0ms (1.9%)

regimes130.0ms (1.6%)

regimes108.0ms (1.3%)

regimes29.0ms (0.3%)

regimes25.0ms (0.3%)

regimes29.0ms (0.3%)

regimes13.0ms (0.2%)

regimes10.0ms (0.1%)

bsearch1.0ms (0%)

simplify54.0ms (0.6%)

soundness1.3s (15.7%)

preprocess61.0ms (0.7%)

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