Metrics for Trowbridge-Reitz Sample, near normal, slope

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze272.0ms (3.3%)

Memory

12.9MiB live, 493.8MiB 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 (22.7%)

Memory

-82.1MiB live, 1 854.9MiB allocated

Samples

1.2s	8 256×	0	valid
1.0ms	8×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 986.0ms

const: 408.0ms (41.4% of total)

ival-sin: 115.0ms (11.7% of total)

ival-mult: 111.0ms (11.3% of total)

ival-<=: 98.0ms (9.9% of total)

ival-div: 75.0ms (7.6% of total)

ival-sqrt: 58.0ms (5.9% of total)

ival-sub: 52.0ms (5.3% of total)

ival-and: 36.0ms (3.7% of total)

ival->: 25.0ms (2.5% of total)

exact: 5.0ms (0.5% of total)

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

Bogosity

explain111.0ms (1.3%)

Memory

5.1MiB live, 122.0MiB 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

54.0ms

512×

valid

Compiler

Compiled 87 to 37 computations (57.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-sqrt: 9.0ms (23.6% of total)

ival-sin: 8.0ms (21% of total)

const: 8.0ms (21% of total)

ival-mult: 6.0ms (15.7% of total)

ival-div: 4.0ms (10.5% of total)

ival-sub: 3.0ms (7.9% of total)

ival-true: 1.0ms (2.6% of total)

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

exact: 0.0ms (0% of total)

preprocess61.0ms (0.7%)

Memory

-36.6MiB live, 46.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	106
1	61	103
2	86	103
3	116	103
4	223	103
5	514	103
6	1325	103
7	3156	103
8	6003	103
9	7954	103
0	10	11
0	16	11
1	20	11
0	20	11

Stop Event

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

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

Compiler

Compiled 11 to 11 computations (0% saved)

simplify4.0ms (0%)

Memory

10.7MiB live, 10.7MiB 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	20	36
0	20	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

localize31.0ms (0.4%)

Memory

-6.5MiB live, 31.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.13119125976844204	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy	0.171875	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.27734375	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.40853500976844204	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Samples

25.0ms

256×

valid

Compiler

Compiled 38 to 13 computations (65.8% saved)

Precisions

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

ival-mult: 3.0ms (19.6% of total)

ival-sin: 3.0ms (19.6% of total)

const: 3.0ms (19.6% of total)

ival-div: 2.0ms (13% of total)

ival-sqrt: 2.0ms (13% of total)

ival-sub: 1.0ms (6.5% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB 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	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	@	-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)))

simplify151.0ms (1.8%)

Memory

-7.2MiB live, 144.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	202	825
1	707	735
2	2810	641
0	8637	610

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

rewrite147.0ms (1.8%)

Memory

23.2MiB live, 141.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	32
0	16	32
1	42	32
2	172	32
3	1195	32
0	9407	32

Stop Event

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

Counts

6 → 444

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

eval55.0ms (0.7%)

Memory: 16.5MiB live, 91.5MiB allocated
Compiler: Compiled 14 540 to 2 245 computations (84.6% saved)

prune22.0ms (0.3%)

Memory

-14.9MiB live, 33.1MiB allocated

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	470	19	489
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	470	20	490

Accuracy

99.7%

Counts

490 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.1%	(/.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 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.1%	(.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
	76.6%	(.f32 (/.f32 (.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sin.f32 (acos.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	83.0%	(.f32 (/.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.0%	(.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
	98.2%	(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	97.6%	(.f32 (.f32 (/.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.4%	(.f32 (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal -1 binary32) u1) u1) (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	97.8%	(.f32 (sqrt.f32 (/.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	98.5%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (-.f32 #s(literal -1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	98.4%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.4%	(.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	76.7%	(.f32 (sqrt.f32 (.f32 (neg.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)))
	98.3%	(.f32 (sqrt.f32 (.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	98.2%	(.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	96.1%	(.f32 (exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	78.7%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	83.1%	#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))
▶	83.1%	#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 677 to 563 computations (16.8% saved)

simplify94.0ms (1.1%)

Memory

10.7MiB live, 85.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
cost-diff	0	(pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))
cost-diff	0	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	3	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
cost-diff	0	(sqrt.f32 (.f32 (neg.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (-.f32 #s(literal 1 binary32) u1)))
cost-diff	0	(.f32 (sqrt.f32 (.f32 (neg.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)))
cost-diff	1	(+.f32 #s(literal -1 binary32) (*.f32 u1 u1))
cost-diff	1	(.f32 (neg.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (-.f32 #s(literal 1 binary32) u1))
cost-diff	0	(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
cost-diff	0	(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
cost-diff	0	(sqrt.f32 u1)
cost-diff	0	(.f32 (sqrt.f32 u1) (/.f32 (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 u1 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal -1 binary32) u1)))
cost-diff	0	(sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal -1 binary32) u1))))
cost-diff	0	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (-.f32 #s(literal -1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	1	(+.f32 #s(literal -1 binary32) (*.f32 u1 u1))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	297
0	68	294
1	102	292
2	179	287
3	367	287
4	903	287
5	1968	287
6	3686	287
7	5553	287
0	8218	277

Stop Event

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

Calls

Call 1

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

localize112.0ms (1.3%)

Memory

-25.4MiB live, 130.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.171875	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.27734375	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.40853500976844204	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.5036125488422101	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
accuracy	0.13119125976844204	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy	0.201503759768442	(.f32 (neg.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (-.f32 #s(literal 1 binary32) u1))
accuracy	0.27734375	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.3405075195368841	(.f32 (sqrt.f32 (.f32 (neg.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)))
accuracy	0.14453125	(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.25390625	(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
accuracy	0.27734375	(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
accuracy	0.3515625	(.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
accuracy	0.171875	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.27734375	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.38900375976844204	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy	5.116116453861414	#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	0.171875	(/.f32 u1 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal -1 binary32) u1)))
accuracy	0.27734375	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.40853500976844204	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (-.f32 #s(literal -1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.42578125	(/.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal -1 binary32) u1))

Samples

86.0ms

256×

valid

Compiler

Compiled 288 to 38 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-sqrt: 17.0ms (25.8% of total)

ival-mult: 14.0ms (21.2% of total)

ival-div: 10.0ms (15.2% of total)

ival-sin: 6.0ms (9.1% of total)

ival-add: 5.0ms (7.6% of total)

const: 4.0ms (6.1% of total)

ival-pow: 4.0ms (6.1% of total)

ival-pow2: 3.0ms (4.6% of total)

ival-sub: 2.0ms (3% of total)

exact: 1.0ms (1.5% of total)

ival-neg: 1.0ms (1.5% of total)

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

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

series37.0ms (0.4%)

Memory

18.6MiB live, 53.3MiB allocated

Counts

23 → 149

Calls

Call 1

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

Outputs
-1
(- (pow u1 2) 1)
(* (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))))))))))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (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))))))))))
(sin (* 314159265359/50000000000 u2))
(+ (sin (* 314159265359/50000000000 u2)) (* 1/2 (* u1 (sin (* 314159265359/50000000000 u2)))))
(+ (sin (* 314159265359/50000000000 u2)) (* u1 (+ (* 3/8 (* u1 (sin (* 314159265359/50000000000 u2)))) (* 1/2 (sin (* 314159265359/50000000000 u2))))))
(+ (sin (* 314159265359/50000000000 u2)) (* u1 (+ (* 1/2 (sin (* 314159265359/50000000000 u2))) (* u1 (+ (* 5/16 (* u1 (sin (* 314159265359/50000000000 u2)))) (* 3/8 (sin (* 314159265359/50000000000 u2))))))))
(* u1 (+ 1 (* -1 u1)))
(* u1 (+ 1 (* u1 (- u1 1))))
(* u1 (+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1))))
(+ (* 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 (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 (* 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))))))))))))
(pow (* 1 u1) 1/4)
(+ (* 1/4 (pow (* 1 (pow u1 5)) 1/4)) (pow (* 1 u1) 1/4))
(+ (* u1 (+ (* 5/32 (pow (* 1 (pow u1 5)) 1/4)) (* 1/4 (pow (* 1 u1) 1/4)))) (pow (* 1 u1) 1/4))
(+ (* u1 (+ (* 1/4 (pow (* 1 u1) 1/4)) (* u1 (+ (* 15/128 (pow (* 1 (pow u1 5)) 1/4)) (* 5/32 (pow (* 1 u1) 1/4)))))) (pow (* 1 u1) 1/4))
1
(+ 1 (* -1 u1))
(+ 1 (* -1/2 u1))
(+ 1 (* u1 (- (* -1/8 u1) 1/2)))
(+ 1 (* u1 (- (* u1 (- (* -1/16 u1) 1/8)) 1/2)))
(pow u1 2)
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* 3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 3))) (+ (* 3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1))))
(+ (sqrt -1) (+ (* 5/16 (/ (sqrt -1) (pow u1 3))) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1)))))
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 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))))
(* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 7))) (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ u1 (pow (sqrt -1) 2))))) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))))
(- 1 (/ 1 u1))
(- (+ 1 (/ 1 (pow u1 2))) (/ 1 u1))
(- (+ 1 (/ 1 (pow u1 2))) (+ (/ 1 u1) (/ 1 (pow u1 3))))
(* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))
(+ (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (pow u1 2))) (+ (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (pow u1 2))) (+ (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)) (+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (pow u1 3))) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))))
(pow (sqrt -1) 2)
(+ (* 1/2 (/ 1 u1)) (pow (sqrt -1) 2))
(+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow u1 2))) (+ (* 1/2 (/ 1 u1)) (pow (sqrt -1) 2)))
(+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow u1 2))) (+ (* 1/2 (/ (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow u1 3))) (+ (* 1/2 (/ 1 u1)) (pow (sqrt -1) 2))))
(pow -1 1/4)
(+ (* 1/4 (* (pow -1 1/4) (/ 1 u1))) (pow -1 1/4))
(+ (* 5/32 (* (pow -1 1/4) (/ 1 (pow u1 2)))) (+ (* 1/4 (* (pow -1 1/4) (/ 1 u1))) (pow -1 1/4)))
(+ (* 15/128 (* (pow -1 1/4) (/ 1 (pow u1 3)))) (+ (* 5/32 (* (pow -1 1/4) (/ 1 (pow u1 2)))) (+ (* 1/4 (* (pow -1 1/4) (/ 1 u1))) (pow -1 1/4))))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(* (sqrt u1) (sqrt -1))
(* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))))
(+ (* -1 (/ (+ (* -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)))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(+ (* 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) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (* (sqrt -1) (+ 1 (* -1/4 u1))))))) (pow u1 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) u1)))
(+ (sin (* 314159265359/50000000000 u2)) (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)))
(+ (sin (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -3/8 (/ (sin (* 314159265359/50000000000 u2)) u1)) (* 1/2 (sin (* 314159265359/50000000000 u2)))) u1)))
(+ (sin (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1 (/ (+ (* -5/16 (/ (sin (* 314159265359/50000000000 u2)) u1)) (* 3/8 (sin (* 314159265359/50000000000 u2)))) u1)) (* 1/2 (sin (* 314159265359/50000000000 u2)))) u1)))
(- 1 (* 1/2 (/ 1 u1)))
(+ 1 (* -1 (/ (- 1/2 (* 3/8 (/ 1 u1))) u1)))
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 3/8 (* 5/16 (/ 1 u1))) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* u1 (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1)))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* -1/2 (/ (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ 1 (sqrt -1)))) u1)))
(+ (* -1 (/ (+ (* -1/4 (pow -1 1/4)) (* -5/32 (* (pow -1 1/4) (/ 1 u1)))) u1)) (pow -1 1/4))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 15/128 (* (pow -1 1/4) (/ 1 u1))) (* 5/32 (pow -1 1/4))) u1)) (* -1/4 (pow -1 1/4))) u1)) (pow -1 1/4))
(* -1 (* u1 (- 1 (/ 1 u1))))
(* -1 (* (sqrt u1) (sqrt -1)))
(* -1 (* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))))
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))))
(* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* u2 (sqrt -1))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1))))))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)))))))))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- 1 u1)))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))) (* 314159265359/50000000000 (sqrt (/ 1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1)))))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ 1 (- 1 u1))))))))))
(* 314159265359/50000000000 u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* 314159265359/50000000000 (* (sqrt (/ (* u1 (- 1 u1)) (- (pow u1 2) 1))) (* u2 (sqrt -1))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (- 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* 314159265359/50000000000 (* (sqrt (/ (* u1 (- 1 u1)) (- (pow u1 2) 1))) (sqrt -1)))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (- 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (- 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1))))))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (- 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (- 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- 1 u1)) (- (pow u1 2) 1))) (sqrt -1)))))))))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- 1 u1))))
(* (sqrt (/ (* u1 (- 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	u2	@	0	((+ -1 (* u1 u1)) (* (sqrt (/ u1 (/ (+ -1 (* u1 u1)) (- -1 u1)))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (+ -1 (* u1 u1)) (- -1 u1)))) (/ 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 (- 1 u1))) (sin (* u2 314159265359/50000000000)) (* (neg (/ u1 (+ -1 (* u1 u1)))) (- 1 u1)) (* (sqrt (* (neg (/ u1 (+ -1 (* u1 u1)))) (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (* (neg (/ u1 (+ -1 (* u1 u1)))) (- 1 u1))) (pow (pow (/ u1 (- 1 u1)) 1/4) 2) (* (pow (pow (/ u1 (- 1 u1)) 1/4) 2) (sin (* 314159265359/50000000000 u2))) (pow (/ u1 (- 1 u1)) 1/4) (/ (+ -1 (* u1 u1)) (- -1 u1)) (* 314159265359/50000000000 u2) (* u2 314159265359/50000000000) (sqrt (- 1 u1)) (sin (* 314159265359/50000000000 u2)))
7.0ms	u1	@	-inf	((+ -1 (* u1 u1)) (* (sqrt (/ u1 (/ (+ -1 (* u1 u1)) (- -1 u1)))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (+ -1 (* u1 u1)) (- -1 u1)))) (/ 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 (- 1 u1))) (sin (* u2 314159265359/50000000000)) (* (neg (/ u1 (+ -1 (* u1 u1)))) (- 1 u1)) (* (sqrt (* (neg (/ u1 (+ -1 (* u1 u1)))) (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (* (neg (/ u1 (+ -1 (* u1 u1)))) (- 1 u1))) (pow (pow (/ u1 (- 1 u1)) 1/4) 2) (* (pow (pow (/ u1 (- 1 u1)) 1/4) 2) (sin (* 314159265359/50000000000 u2))) (pow (/ u1 (- 1 u1)) 1/4) (/ (+ -1 (* u1 u1)) (- -1 u1)) (* 314159265359/50000000000 u2) (* u2 314159265359/50000000000) (sqrt (- 1 u1)) (sin (* 314159265359/50000000000 u2)))
5.0ms	u1	@	0	((+ -1 (* u1 u1)) (* (sqrt (/ u1 (/ (+ -1 (* u1 u1)) (- -1 u1)))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (+ -1 (* u1 u1)) (- -1 u1)))) (/ 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 (- 1 u1))) (sin (* u2 314159265359/50000000000)) (* (neg (/ u1 (+ -1 (* u1 u1)))) (- 1 u1)) (* (sqrt (* (neg (/ u1 (+ -1 (* u1 u1)))) (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (* (neg (/ u1 (+ -1 (* u1 u1)))) (- 1 u1))) (pow (pow (/ u1 (- 1 u1)) 1/4) 2) (* (pow (pow (/ u1 (- 1 u1)) 1/4) 2) (sin (* 314159265359/50000000000 u2))) (pow (/ u1 (- 1 u1)) 1/4) (/ (+ -1 (* u1 u1)) (- -1 u1)) (* 314159265359/50000000000 u2) (* u2 314159265359/50000000000) (sqrt (- 1 u1)) (sin (* 314159265359/50000000000 u2)))
5.0ms	u1	@	inf	((+ -1 (* u1 u1)) (* (sqrt (/ u1 (/ (+ -1 (* u1 u1)) (- -1 u1)))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (+ -1 (* u1 u1)) (- -1 u1)))) (/ 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 (- 1 u1))) (sin (* u2 314159265359/50000000000)) (* (neg (/ u1 (+ -1 (* u1 u1)))) (- 1 u1)) (* (sqrt (* (neg (/ u1 (+ -1 (* u1 u1)))) (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (* (neg (/ u1 (+ -1 (* u1 u1)))) (- 1 u1))) (pow (pow (/ u1 (- 1 u1)) 1/4) 2) (* (pow (pow (/ u1 (- 1 u1)) 1/4) 2) (sin (* 314159265359/50000000000 u2))) (pow (/ u1 (- 1 u1)) 1/4) (/ (+ -1 (* u1 u1)) (- -1 u1)) (* 314159265359/50000000000 u2) (* u2 314159265359/50000000000) (sqrt (- 1 u1)) (sin (* 314159265359/50000000000 u2)))
5.0ms	u2	@	inf	((+ -1 (* u1 u1)) (* (sqrt (/ u1 (/ (+ -1 (* u1 u1)) (- -1 u1)))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (+ -1 (* u1 u1)) (- -1 u1)))) (/ 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 (- 1 u1))) (sin (* u2 314159265359/50000000000)) (* (neg (/ u1 (+ -1 (* u1 u1)))) (- 1 u1)) (* (sqrt (* (neg (/ u1 (+ -1 (* u1 u1)))) (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (* (neg (/ u1 (+ -1 (* u1 u1)))) (- 1 u1))) (pow (pow (/ u1 (- 1 u1)) 1/4) 2) (* (pow (pow (/ u1 (- 1 u1)) 1/4) 2) (sin (* 314159265359/50000000000 u2))) (pow (/ u1 (- 1 u1)) 1/4) (/ (+ -1 (* u1 u1)) (- -1 u1)) (* 314159265359/50000000000 u2) (* u2 314159265359/50000000000) (sqrt (- 1 u1)) (sin (* 314159265359/50000000000 u2)))

simplify212.0ms (2.6%)

Memory

14.0MiB live, 217.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	667	3544
1	2388	3050
0	8722	2891

Stop Event

1×	iter limit
1×	node limit

Counts

149 → 148

Calls

Call 1

Inputs
-1
(- (pow u1 2) 1)
(* (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))))))))))))
u1
(* u1 (+ 1 u1))
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(sqrt u1)
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(sin (* 314159265359/50000000000 u2))
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(pow (* 1 u1) 1/4)
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1
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(sqrt -1)
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(* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))
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(pow (sqrt -1) 2)
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(pow -1 1/4)
(+ (* 1/4 (* (pow -1 1/4) (/ 1 u1))) (pow -1 1/4))
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(* -1 u1)
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(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))))
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(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
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(+ (sin (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1 (/ (+ (* -5/16 (/ (sin (* 314159265359/50000000000 u2)) u1)) (* 3/8 (sin (* 314159265359/50000000000 u2)))) u1)) (* 1/2 (sin (* 314159265359/50000000000 u2)))) u1)))
(- 1 (* 1/2 (/ 1 u1)))
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(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* -1/2 (/ (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ 1 (sqrt -1)))) u1)))
(+ (* -1 (/ (+ (* -1/4 (pow -1 1/4)) (* -5/32 (* (pow -1 1/4) (/ 1 u1)))) u1)) (pow -1 1/4))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 15/128 (* (pow -1 1/4) (/ 1 u1))) (* 5/32 (pow -1 1/4))) u1)) (* -1/4 (pow -1 1/4))) u1)) (pow -1 1/4))
(* -1 (* u1 (- 1 (/ 1 u1))))
(* -1 (* (sqrt u1) (sqrt -1)))
(* -1 (* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))))
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))))
(* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* u2 (sqrt -1))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1))))))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)))))))))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- 1 u1)))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))) (* 314159265359/50000000000 (sqrt (/ 1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1)))))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ 1 (- 1 u1))))))))))
(* 314159265359/50000000000 u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* 314159265359/50000000000 (* (sqrt (/ (* u1 (- 1 u1)) (- (pow u1 2) 1))) (* u2 (sqrt -1))))
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(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (- 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (- 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1))))))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (- 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (- 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- 1 u1)) (- (pow u1 2) 1))) (sqrt -1)))))))))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- 1 u1))))
(* (sqrt (/ (* u1 (- 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))

Outputs
-1
#s(literal -1 binary32)
(- (pow u1 2) 1)
(-.f32 (*.f32 u1 u1) #s(literal 1 binary32))
(* (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))))
(fma.f32 (.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #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 u1) (sin (* 314159265359/50000000000 u2)))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(-.f32 (.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) (.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 (fma.f32 (.f32 #s(literal -1/2 binary32) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (.f32 #s(literal -1/2 binary32) u1) (fma.f32 (.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (neg.f32 u1)) #s(literal 1 binary32)) (sqrt.f32 u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))))) (.f32 u1 u1) (.f32 (neg.f32 (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(* (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 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) 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 (fma.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (neg.f32 u1)) #s(literal 1 binary32)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32))) (.f32 u1 u1)) (sqrt.f32 u1))
u1
(* u1 (+ 1 u1))
(fma.f32 u1 u1 u1)
(* u1 (+ 1 (* u1 (+ 1 u1))))
(fma.f32 (fma.f32 u1 u1 u1) u1 u1)
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)
(* (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 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) 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 u1 #s(literal 1/2 binary32)) (fma.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (.f32 (.f32 #s(literal 1/2 binary32) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.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 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt u1) u2)) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))
(fma.f32 (.f32 (.f32 u1 u1) #s(literal 314159265359/100000000000 binary32)) (.f32 u2 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))
(+ (* 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 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2 (.f32 (fma.f32 (.f32 u1 #s(literal 314159265359/100000000000 binary32)) (fma.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)) u2 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u2)) (.f32 (.f32 #s(literal 314159265359/100000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.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 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) 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 (fma.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1) (sqrt.f32 u1))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(+ (sin (* 314159265359/50000000000 u2)) (* 1/2 (* u1 (sin (* 314159265359/50000000000 u2)))))
(.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (sin (* 314159265359/50000000000 u2)) (* u1 (+ (* 3/8 (* u1 (sin (* 314159265359/50000000000 u2)))) (* 1/2 (sin (* 314159265359/50000000000 u2))))))
(fma.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 #s(literal 3/8 binary32) u1 #s(literal 1/2 binary32))) u1 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (sin (* 314159265359/50000000000 u2)) (* u1 (+ (* 1/2 (sin (* 314159265359/50000000000 u2))) (* u1 (+ (* 5/16 (* u1 (sin (* 314159265359/50000000000 u2)))) (* 3/8 (sin (* 314159265359/50000000000 u2))))))))
(fma.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 (.f32 u1 u1) (.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 #s(literal 5/16 binary32) u1 #s(literal 3/8 binary32)))))
(* u1 (+ 1 (* -1 u1)))
(*.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(* u1 (+ 1 (* u1 (- u1 1))))
(*.f32 (fma.f32 (-.f32 u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1)
(* u1 (+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1))))
(fma.f32 (.f32 u1 u1) (-.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1 binary32)) u1)
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(fma.f32 (.f32 #s(literal 1/2 binary32) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (pow.f32 u1 #s(literal 3 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 u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(-.f32 (.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 #s(literal -1/2 binary32) (-.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) (.f32 u1 u1)) (.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 (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))))))))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) (neg.f32 u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))) u1 (.f32 (.f32 #s(literal 1/2 binary32) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1) (.f32 (neg.f32 (sqrt.f32 u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(+ (* 1/2 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 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 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 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 (fma.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) (neg.f32 u1))) (sqrt.f32 u1)))) u1 (.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1)) (sqrt.f32 u1))
(pow (* 1 u1) 1/4)
(pow.f32 u1 #s(literal 1/4 binary32))
(+ (* 1/4 (pow (* 1 (pow u1 5)) 1/4)) (pow (* 1 u1) 1/4))
(fma.f32 (pow.f32 (pow.f32 u1 #s(literal 5 binary32)) #s(literal 1/4 binary32)) #s(literal 1/4 binary32) (pow.f32 u1 #s(literal 1/4 binary32)))
(+ (* u1 (+ (* 5/32 (pow (* 1 (pow u1 5)) 1/4)) (* 1/4 (pow (* 1 u1) 1/4)))) (pow (* 1 u1) 1/4))
(fma.f32 (fma.f32 #s(literal 5/32 binary32) (pow.f32 (pow.f32 u1 #s(literal 5 binary32)) #s(literal 1/4 binary32)) (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 1/4 binary32))) u1 (pow.f32 u1 #s(literal 1/4 binary32)))
(+ (* u1 (+ (* 1/4 (pow (* 1 u1) 1/4)) (* u1 (+ (* 15/128 (pow (* 1 (pow u1 5)) 1/4)) (* 5/32 (pow (* 1 u1) 1/4)))))) (pow (* 1 u1) 1/4))
(fma.f32 (fma.f32 (fma.f32 #s(literal 15/128 binary32) (pow.f32 (pow.f32 u1 #s(literal 5 binary32)) #s(literal 1/4 binary32)) (.f32 #s(literal 5/32 binary32) (pow.f32 u1 #s(literal 1/4 binary32)))) u1 (.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 1/4 binary32))) u1 (pow.f32 u1 #s(literal 1/4 binary32)))
1
#s(literal 1 binary32)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(+ 1 (* -1/2 u1))
(fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32))
(+ 1 (* u1 (- (* -1/8 u1) 1/2)))
(fma.f32 (-.f32 (*.f32 #s(literal -1/8 binary32) u1) #s(literal 1/2 binary32)) u1 #s(literal 1 binary32))
(+ 1 (* u1 (- (* u1 (- (* -1/16 u1) 1/8)) 1/2)))
(fma.f32 (-.f32 (.f32 (-.f32 (.f32 #s(literal -1/16 binary32) u1) #s(literal 1/8 binary32)) u1) #s(literal 1/2 binary32)) u1 #s(literal 1 binary32))
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) 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)))
(fma.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal 1/2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(+ (* 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 #s(literal 3/8 binary32) u1) (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (fma.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (sqrt.f32 #s(literal -1 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)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (pow.f32 u1 #s(literal 3 binary32))) #s(literal 5/16 binary32) (fma.f32 (/.f32 #s(literal 3/8 binary32) u1) (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (fma.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal 1/2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))))
(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 #s(literal 3/8 binary32) u1) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 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 #s(literal 3/8 binary32) u1) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))))
(* -1 (+ 1 (/ 1 u1)))
(fma.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32) #s(literal -1 binary32))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32) #s(literal -1 binary32)) u1) #s(literal 1 binary32))
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32) #s(literal -1 binary32)) (*.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
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(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)))))
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(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)))))))))
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(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
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(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
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(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
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(* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- 1 u1)))))
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(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))) (* 314159265359/50000000000 (sqrt (/ 1 (- 1 u1))))))
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(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1)))))))))
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(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ 1 (- 1 u1))))))))))
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(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
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(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
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(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
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(* 314159265359/50000000000 (* (sqrt (/ (* u1 (- 1 u1)) (- (pow u1 2) 1))) (* u2 (sqrt -1))))
(.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) u1) (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (- 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* 314159265359/50000000000 (* (sqrt (/ (* u1 (- 1 u1)) (- (pow u1 2) 1))) (sqrt -1)))))
(.f32 (fma.f32 (.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) u1) (-.f32 (.f32 u1 u1) #s(literal 1 binary32)))) (.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) u2) u2)) (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) u1) (-.f32 (.f32 u1 u1) #s(literal 1 binary32)))))) u2)
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (- 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (- 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1))))))))
(.f32 (fma.f32 (.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) u1) (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))) (sqrt.f32 #s(literal -1 binary32)) (.f32 (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) u1) (-.f32 (.f32 u1 u1) #s(literal 1 binary32)))) (.f32 (.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) u2) u2)) (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) u1) (-.f32 (.f32 u1 u1) #s(literal 1 binary32)))))) (*.f32 u2 u2))) u2)
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (- 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (- 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- 1 u1)) (- (pow u1 2) 1))) (sqrt -1)))))))))
(.f32 (fma.f32 (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) u1) (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))) (sqrt.f32 #s(literal -1 binary32)) (.f32 (fma.f32 (.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) u2) u2)) (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) u1) (-.f32 (.f32 u1 u1) #s(literal 1 binary32)))) (.f32 (.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) u1) (-.f32 (.f32 u1 u1) #s(literal 1 binary32)))))) (.f32 u2 u2))) (.f32 u2 u2) (.f32 (.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) u1) (-.f32 (.f32 u1 u1) #s(literal 1 binary32)))))) u2)
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 (.f32 u1 u1) #s(literal 1 binary32)))) (.f32 (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 (/ 1 (- 1 u1))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* (sqrt (/ (* u1 (- 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(.f32 (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) u1) (-.f32 (.f32 u1 u1) #s(literal 1 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))

rewrite137.0ms (1.6%)

Memory

8.3MiB live, 203.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	211
0	68	231
1	171	171
2	846	159
0	9269	158

Stop Event

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

Counts

23 → 1 623

Calls

Call 1

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

Outputs
(expm1.f32 (*.f32 (log.f32 (neg.f32 u1)) #s(literal 2 binary32)))
(expm1.f32 (*.f32 (log.f32 u1) #s(literal 2 binary32)))
(*.f32 (/.f32 (-.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (-.f32 #s(literal 1 binary32) (-.f32 (pow.f32 u1 #s(literal 8 binary32)) (pow.f32 u1 #s(literal 4 binary32))))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32)))))
(*.f32 (/.f32 (-.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (+.f32 (pow.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) (-.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))) (+.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (fma.f32 u1 u1 #s(literal 1 binary32)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (fma.f32 u1 u1 #s(literal -1 binary32)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 6 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32)))))
(*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 u1 #s(literal 1 binary32)))
(*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal -1 binary32))
(*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) u1)) (-.f32 u1 #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 u1 #s(literal 1 binary32))) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1))
(/.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)))) (.f32 (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 u1 u1 #s(literal -1 binary32)))
(/.f32 (-.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32)))))) (.f32 (/.f32 (pow.f32 u1 #s(literal 6 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))))) (/.f32 (pow.f32 u1 #s(literal 6 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))))))) (fma.f32 u1 u1 #s(literal -1 binary32)))
(/.f32 (-.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (fma.f32 (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
(/.f32 (+.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))))) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 u1 #s(literal 6 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))))) #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))))) (-.f32 (.f32 (/.f32 (pow.f32 u1 #s(literal 6 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))))) (/.f32 (pow.f32 u1 #s(literal 6 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32)))))) (.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))))) (/.f32 (pow.f32 u1 #s(literal 6 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32)))))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal -1 binary32)))
(/.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (fma.f32 u1 u1 #s(literal -1 binary32)))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32)))) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32)))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32)))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u1))
(/.f32 (-.f32 (.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (pow.f32 u1 #s(literal 4 binary32)))) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))
(/.f32 (fma.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32)))) (.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32)))) (pow.f32 u1 #s(literal 6 binary32)))) (.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 8 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))) (fma.f32 u1 u1 #s(literal -1 binary32))))
(/.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 12 binary32))) (*.f32 (-.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 12 binary32))) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 8 binary32))) (pow.f32 u1 #s(literal 4 binary32))) (fma.f32 u1 u1 #s(literal -1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (neg.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))))))
(/.f32 (+.f32 (pow.f32 u1 #s(literal 18 binary32)) #s(literal -1 binary32)) (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 12 binary32))) (pow.f32 u1 #s(literal 6 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))))))
(/.f32 (+.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 4 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))) (fma.f32 u1 u1 #s(literal -1 binary32)))
(/.f32 (-.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32)))))))
(/.f32 (-.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32)))))
(-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #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))))
(-.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))))) (/.f32 (pow.f32 u1 #s(literal 6 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))))))
(-.f32 (*.f32 u1 u1) #s(literal 1 binary32))
(-.f32 #s(literal -1 binary32) (*.f32 (neg.f32 u1) u1))
(-.f32 #s(literal -1 binary32) (*.f32 u1 u1))
(fma.f32 (/.f32 (pow.f32 u1 #s(literal 6 binary32)) (-.f32 #s(literal 1 binary32) (-.f32 (pow.f32 u1 #s(literal 8 binary32)) (pow.f32 u1 #s(literal 4 binary32))))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32)))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))))))
(fma.f32 (/.f32 (pow.f32 u1 #s(literal 6 binary32)) (+.f32 (pow.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) (-.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))))))
(fma.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))
(fma.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32)))) (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))
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(/.f32 (sqrt.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal -1 binary32))))
(/.f32 (sqrt.f32 (neg.f32 (-.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (hypot.f32 (-.f32 #s(literal 1 binary32) u1) (sqrt.f32 u1)))
(/.f32 (sqrt.f32 (-.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal -1 binary32))))
(/.f32 (hypot.f32 (pow.f32 (*.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) u1) #s(literal 3/2 binary32)) (pow.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) #s(literal 3/2 binary32))) (sqrt.f32 (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (pow.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) #s(literal 2 binary32)))))
(/.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (acos.f32 u1)))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(/.f32 (sqrt.f32 (-.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 6 binary32)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32)))) (-.f32 u1 #s(literal 1 binary32)))))
(/.f32 (sin.f32 (acos.f32 (pow.f32 u1 #s(literal 3/2 binary32)))) (hypot.f32 (-.f32 #s(literal 1 binary32) u1) (sqrt.f32 u1)))
(/.f32 (sin.f32 (acos.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (sqrt.f32 (fma.f32 u1 u1 #s(literal -1 binary32))) (sqrt.f32 (-.f32 u1 #s(literal 1 binary32))))
(pow.f32 (exp.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32))
(pow.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 1/4 binary32))
(+.f32 (cosh.f32 (.f32 (log1p.f32 u1) #s(literal 1/2 binary32))) (sinh.f32 (.f32 (log1p.f32 u1) #s(literal 1/2 binary32))))
(exp.f32 (*.f32 (log1p.f32 u1) #s(literal 1/2 binary32)))
(neg.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(sin.f32 (neg.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(sin.f32 (neg.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (PI.f32))))
(sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (PI.f32)))
(sin.f32 (+.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (PI.f32)) (PI.f32)))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(cos.f32 (+.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32)))
(cos.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))
(cos.f32 (+.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32))))
(neg.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))

eval121.0ms (1.5%)

Memory: 2.0MiB live, 192.3MiB allocated
Compiler: Compiled 26 382 to 4 213 computations (84% saved)

prune87.0ms (1.1%)

Memory

-18.9MiB live, 96.3MiB allocated

Pruning

37 alts after pruning (32 fresh and 5 done)

	Pruned	Kept	Total
New	953	25	978
Fresh	7	7	14
Picked	1	4	5
Done	0	1	1
Total	961	37	998

Accuracy

99.9%

Counts

998 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.1%	(/.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 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	97.9%	(.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) (/.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	98.2%	(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	78.5%	(.f32 (pow.f32 #s(approx (pow (/ u1 (- 1 u1)) 1/4) (pow.f32 u1 #s(literal 1/4 binary32))) #s(literal 2 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	97.8%	(.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
	83.4%	(.f32 (/.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.2%	(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	98.4%	(.f32 (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal -1 binary32) u1) u1) (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	97.8%	(.f32 (sqrt.f32 (/.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	98.5%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (-.f32 #s(literal -1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	98.4%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	64.8%	(.f32 (sqrt.f32 (/.f32 u1 (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	98.5%	(.f32 (sqrt.f32 (.f32 (neg.f32 (/.f32 u1 (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	76.6%	(.f32 (sqrt.f32 (.f32 (neg.f32 (/.f32 u1 #s(approx (+ -1 (* u1 u1)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) u1) u1)))) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.3%	(.f32 (sqrt.f32 (.f32 u1 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	76.6%	(.f32 (sqrt.f32 #s(approx ( (neg (/ u1 (+ -1 (* u1 u1)))) (- 1 u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.0%	(.f32 (sqrt.f32 u1) (/.f32 (/.f32 (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))))
✓	98.2%	(.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	40.5%	(.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))))
	83.0%	(.f32 (sqrt.f32 u1) (/.f32 #s(approx (sin ( u2 314159265359/50000000000)) (.f32 (fma.f32 (-.f32 (.f32 (.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	83.0%	(.f32 (sqrt.f32 u1) (/.f32 #s(approx (sin ( u2 314159265359/50000000000)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	83.2%	(.f32 (sqrt.f32 u1) #s(approx (/ (sin ( u2 314159265359/50000000000)) (sqrt (- 1 u1))) (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2)))
	83.1%	(.f32 (sqrt.f32 u1) #s(approx (/ (sin ( u2 314159265359/50000000000)) (sqrt (- 1 u1))) (.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
	98.4%	(.f32 (sqrt.f32 u1) #s(approx (/ (sin ( u2 314159265359/50000000000)) (sqrt (- 1 u1))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
	78.7%	(.f32 (sqrt.f32 u1) #s(approx (/ (sin ( u2 314159265359/50000000000)) (sqrt (- 1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
	96.1%	(.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	96.1%	(.f32 (exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	82.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (/.f32 (.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2) (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))))
	82.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	82.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) (neg.f32 (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
▶	82.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2))
	82.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32)))))
	83.1%	#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))
✓	83.1%	#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)))
	69.4%	#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)))
▶	69.4%	#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))))

Compiler

Compiled 1 456 to 1 186 computations (18.5% saved)

simplify157.0ms (1.9%)

Memory

16.9MiB live, 175.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))
cost-diff	0	(/.f32 u1 (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
cost-diff	0	(sqrt.f32 (/.f32 u1 (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))))
cost-diff	0	(.f32 (sqrt.f32 (/.f32 u1 (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	0	(/.f32 (.f32 (-.f32 #s(literal -1 binary32) u1) u1) (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))
cost-diff	0	(sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal -1 binary32) u1) u1) (+.f32 #s(literal -1 binary32) (.f32 u1 u1))))
cost-diff	0	(.f32 (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal -1 binary32) u1) 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	(.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))
cost-diff	0	(.f32 (fma.f32 (.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2)
cost-diff	0	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2))
cost-diff	7	(fma.f32 (.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
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	(neg.f32 (/.f32 u1 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))
cost-diff	0	(sqrt.f32 (.f32 (neg.f32 (/.f32 u1 (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (-.f32 #s(literal 1 binary32) u1)))
cost-diff	0	(.f32 (sqrt.f32 (.f32 (neg.f32 (/.f32 u1 (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	8	(.f32 (neg.f32 (/.f32 u1 (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (-.f32 #s(literal 1 binary32) u1))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	465
0	91	447
1	161	447
2	401	447
3	1281	423
4	4734	423
0	8288	416

Stop Event

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

Calls

Call 1

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

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

localize126.0ms (1.5%)

Memory

23.2MiB live, 216.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.16796875	(/.f32 u1 (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
accuracy	0.27734375	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.40462875976844204	(.f32 (sqrt.f32 (/.f32 u1 (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	3.34519297606354	(fma.f32 u1 u1 #s(literal 1 binary32))
accuracy	0.13119125976844204	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy	0.265625	(*.f32 (-.f32 #s(literal -1 binary32) u1) u1)
accuracy	0.27734375	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.40853500976844204	(.f32 (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal -1 binary32) u1) u1) (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.31478500976844204	(*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
accuracy	0.34375	(.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))
accuracy	2.8755636532448716	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2))
accuracy	5.181878284592792	(fma.f32 (.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
accuracy	0.2265625	(*.f32 (sqrt.f32 u1) u2)
accuracy	0.35775375976844204	(.f32 (.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))
accuracy	5.116116453861414	#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	6.732731407306682	#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (.f32 (.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))
accuracy	0.2578125	(.f32 (neg.f32 (/.f32 u1 (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (-.f32 #s(literal 1 binary32) u1))
accuracy	0.27734375	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.37890625	(*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))
accuracy	0.40853500976844204	(.f32 (sqrt.f32 (.f32 (neg.f32 (/.f32 u1 (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Samples

95.0ms

256×

valid

Compiler

Compiled 432 to 49 computations (88.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-mult: 26.0ms (37% of total)

ival-sub: 9.0ms (12.8% of total)

ival-div: 8.0ms (11.4% of total)

ival-sqrt: 8.0ms (11.4% of total)

const: 7.0ms (10% of total)

ival-add: 3.0ms (4.3% of total)

ival-sin: 3.0ms (4.3% of total)

ival-pow: 3.0ms (4.3% of total)

ival-neg: 1.0ms (1.4% of total)

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

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

exact: 0.0ms (0% of total)

series61.0ms (0.7%)

Memory

-8.2MiB live, 76.3MiB allocated

Counts

26 → 177

Calls

Call 1

Inputs
(.f32 (neg.f32 (/.f32 u1 (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (-.f32 #s(literal 1 binary32) u1))
(.f32 (sqrt.f32 (.f32 (neg.f32 (/.f32 u1 (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (.f32 (neg.f32 (/.f32 u1 (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (-.f32 #s(literal 1 binary32) u1)))
(neg.f32 (/.f32 u1 (*.f32 (-.f32 u1 #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)
(fma.f32 (.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2))
(.f32 (fma.f32 (.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2)
(.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))
(+.f32 #s(literal -1 binary32) (*.f32 u1 u1))
(.f32 (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal -1 binary32) u1) u1) (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal -1 binary32) u1) u1) (+.f32 #s(literal -1 binary32) (.f32 u1 u1))))
(/.f32 (.f32 (-.f32 #s(literal -1 binary32) u1) u1) (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))
(.f32 (sqrt.f32 (/.f32 u1 (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))))
(/.f32 u1 (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))
(*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (-.f32 #s(literal -1 binary32) u1) u1)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(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))))))))))))
(* u1 (+ 1 (* 2 u1)))
(* u1 (+ 1 (* u1 (+ 2 (* 3 u1)))))
(* u1 (+ 1 (* u1 (+ 2 (* u1 (+ 3 (* 4 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)
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 314159265359/50000000000 (sqrt u1)))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u1 2) (+ (* -31006276680305942139213528068663279/1500000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* 314159265359/100000000000 (sqrt (/ 1 u1)))))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u1 2) (+ (* -31006276680305942139213528068663279/1500000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (+ (* 314159265359/100000000000 (sqrt (/ 1 u1))) (* u1 (+ (* -31006276680305942139213528068663279/1500000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* 314159265359/100000000000 (sqrt (/ 1 u1))))))))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u1 2) (+ (* -31006276680305942139213528068663279/1500000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (+ (* 314159265359/100000000000 (sqrt (/ 1 u1))) (* u1 (+ (* -31006276680305942139213528068663279/1500000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (+ (* 314159265359/100000000000 (sqrt (/ 1 u1))) (* u1 (+ (* -31006276680305942139213528068663279/1500000000000000000000000000000000 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) (- 1 (* 1/4 (/ 1 u1)))))))))))))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 314159265359/50000000000 (sqrt u1))))
(+ (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 314159265359/50000000000 (sqrt u1)))) (* (pow u1 2) (* u2 (+ (* -31006276680305942139213528068663279/1500000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* 314159265359/100000000000 (sqrt (/ 1 u1)))))))
(+ (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 314159265359/50000000000 (sqrt u1)))) (* (pow u1 2) (+ (* u1 (* u2 (+ (* -31006276680305942139213528068663279/1500000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* 314159265359/100000000000 (sqrt (/ 1 u1)))))) (* u2 (+ (* -31006276680305942139213528068663279/1500000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* 314159265359/100000000000 (sqrt (/ 1 u1))))))))
(+ (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 314159265359/50000000000 (sqrt u1)))) (* (pow u1 2) (+ (* u1 (+ (* u1 (* u2 (+ (* -31006276680305942139213528068663279/1500000000000000000000000000000000 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) (- 1 (* 1/4 (/ 1 u1)))))))) (* u2 (+ (* -31006276680305942139213528068663279/1500000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* 314159265359/100000000000 (sqrt (/ 1 u1))))))) (* u2 (+ (* -31006276680305942139213528068663279/1500000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* 314159265359/100000000000 (sqrt (/ 1 u1))))))))
-1
(- (pow u1 2) 1)
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* -1 (* (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 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (+ (* 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 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))))))))))
(sqrt u1)
(+ (sqrt u1) (* (pow u1 2) (+ (* -1 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1 (sqrt u1)) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1)))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1 (sqrt u1)) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (sqrt u1) (+ (* -1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt (/ 1 u1)) (- 1 (* 1/4 (/ 1 u1))))))))))))))
(* u1 (+ 1 (* u1 (+ 1 (* -1 u1)))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (- (* -1 u1) 1))))))
1
(+ 1 (* -1 u1))
(+ 1 (* u1 (- (* 2 u1) 1)))
(+ 1 (* u1 (- (* u1 (+ 2 (* -2 u1))) 1)))
(- (* 2 u1) 1)
(- (* u1 (+ 2 (* -1 u1))) 1)
(* 314159265359/50000000000 (sqrt u1))
(+ (* 314159265359/100000000000 (sqrt (pow u1 3))) (* 314159265359/50000000000 (sqrt u1)))
(+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u1 2) (+ (* 314159265359/100000000000 (sqrt u1)) (* 314159265359/100000000000 (sqrt (/ 1 u1))))))
(+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u1 2) (+ (* 314159265359/100000000000 (sqrt (/ 1 u1))) (* u1 (+ (* 314159265359/100000000000 (sqrt (/ 1 u1))) (* 314159265359/100000000000 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(* -1 u1)
(* u1 (- (* -1 u1) 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 u1)
(/ (+ 1 (* 2 (/ 1 u1))) u1)
(/ (+ 1 (+ (* 2 (/ 1 u1)) (/ 3 (pow u1 2)))) u1)
(/ (+ 1 (+ (* 2 (/ 1 u1)) (+ (* 4 (/ 1 (pow u1 3))) (/ 3 (pow u1 2))))) 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))))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* 314159265359/50000000000 (sqrt -1)))
(- (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* 314159265359/50000000000 (sqrt -1)) (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (/ (pow u2 2) (* u1 (sqrt -1)))))) (/ 314159265359/100000000000 (* u1 (sqrt -1))))
(- (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* -314159265359/100000000000 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (+ (* 314159265359/50000000000 (sqrt -1)) (+ (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (/ (pow u2 2) (* u1 (sqrt -1)))))))) (/ 314159265359/100000000000 (* u1 (sqrt -1))))
(- (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* -314159265359/100000000000 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))) (+ (* 314159265359/50000000000 (sqrt -1)) (+ (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (/ (pow u2 2) (* u1 (sqrt -1)))))))))) (/ 314159265359/100000000000 (* u1 (sqrt -1))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* 314159265359/50000000000 (sqrt -1))))
(+ (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* 314159265359/50000000000 (sqrt -1)))) (/ (* u2 (- (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (/ (pow u2 2) (sqrt -1))) (* 314159265359/100000000000 (/ 1 (sqrt -1))))) u1))
(+ (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* 314159265359/50000000000 (sqrt -1)))) (+ (/ (* u2 (+ (* -314159265359/100000000000 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))))) (pow u1 2)) (/ (* u2 (- (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (/ (pow u2 2) (sqrt -1))) (* 314159265359/100000000000 (/ 1 (sqrt -1))))) u1)))
(+ (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* 314159265359/50000000000 (sqrt -1)))) (+ (/ (* u2 (+ (* -314159265359/100000000000 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))))) (pow u1 2)) (+ (/ (* u2 (+ (* -314159265359/100000000000 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (sqrt -1))) (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (sqrt -1))))) (pow u1 3)) (/ (* u2 (- (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (/ (pow u2 2) (sqrt -1))) (* 314159265359/100000000000 (/ 1 (sqrt -1))))) u1))))
(pow u1 2)
(* (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)) (+ (* -1 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (+ (* 3/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)))))
(+ (sin (* 314159265359/50000000000 u2)) (+ (* -1 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 3))) (+ (* 5/16 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 3))) (+ (* 3/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)))))))
(+ 1 (* 1/2 (/ 1 u1)))
(- (+ 1 (* 1/2 (/ 1 u1))) (/ 5/8 (pow u1 2)))
(+ 1 (+ (* -1 (/ (+ 5/8 (* 3/16 (/ 1 u1))) (pow u1 2))) (* 1/2 (/ 1 u1))))
(+ 1 (/ 1 u1))
(- (+ 1 (/ 1 u1)) (/ 1 (pow u1 2)))
(+ 1 (+ (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (/ 1 u1)))
(* u1 (- 1 (/ 1 u1)))
(* u1 (- (+ 1 (/ 2 (pow u1 2))) (/ 1 u1)))
(* u1 (- (+ 1 (/ 2 (pow u1 2))) (+ (/ 1 u1) (* 2 (/ 1 (pow u1 3))))))
(* -1 (pow u1 2))
(* (pow u1 2) (- (* 2 (/ 1 u1)) 1))
(* (pow u1 2) (- (* 2 (/ 1 u1)) (+ 1 (/ 1 (pow u1 2)))))
(* 314159265359/50000000000 (sqrt -1))
(- (* 314159265359/50000000000 (sqrt -1)) (* 314159265359/100000000000 (/ 1 (* u1 (sqrt -1)))))
(- (+ (* -314159265359/100000000000 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* 314159265359/50000000000 (sqrt -1))) (/ 314159265359/100000000000 (* u1 (sqrt -1))))
(- (+ (* -314159265359/100000000000 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))) (* 314159265359/50000000000 (sqrt -1)))) (/ 314159265359/100000000000 (* u1 (sqrt -1))))
(* -1 (* (pow u1 2) (+ 1 (/ 1 u1))))
(* (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)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 3 (/ 1 u1))) u1)) 1) u1))
(* -1 (/ (- (* -1 (/ (+ 2 (+ (* 3 (/ 1 u1)) (/ 4 (pow u1 2)))) u1)) 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))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* -1 (/ (+ (* -314159265359/100000000000 (sqrt -1)) (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (* (pow u2 2) (sqrt -1)))) u1)) (* 314159265359/50000000000 (sqrt -1))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* -1 (/ (+ (* -314159265359/100000000000 (sqrt -1)) (+ (* -1 (/ (+ (* -31006276680305942139213528068663279/2000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* 942477796077/400000000000 (sqrt -1))) u1)) (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (* (pow u2 2) (sqrt -1))))) u1)) (* 314159265359/50000000000 (sqrt -1))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* -1 (/ (+ (* -314159265359/100000000000 (sqrt -1)) (+ (* -1 (/ (+ (* -31006276680305942139213528068663279/2000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* -1 (/ (+ (* -314159265359/160000000000 (sqrt -1)) (* 31006276680305942139213528068663279/2400000000000000000000000000000000 (* (pow u2 2) (sqrt -1)))) u1)) (* 942477796077/400000000000 (sqrt -1)))) u1)) (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (* (pow u2 2) (sqrt -1))))) u1)) (* 314159265359/50000000000 (sqrt -1))))
(+ (* -1 (/ (* u2 (+ (* -314159265359/100000000000 (sqrt -1)) (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (* (pow u2 2) (sqrt -1))))) u1)) (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* 314159265359/50000000000 (sqrt -1)))))
(+ (* -1 (/ (+ (* -1 (/ (* u2 (+ (* -31006276680305942139213528068663279/2000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* 942477796077/400000000000 (sqrt -1)))) u1)) (* u2 (+ (* -314159265359/100000000000 (sqrt -1)) (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (* (pow u2 2) (sqrt -1)))))) u1)) (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* 314159265359/50000000000 (sqrt -1)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* u2 (+ (* -314159265359/160000000000 (sqrt -1)) (* 31006276680305942139213528068663279/2400000000000000000000000000000000 (* (pow u2 2) (sqrt -1))))) u1)) (* u2 (+ (* -31006276680305942139213528068663279/2000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* 942477796077/400000000000 (sqrt -1))))) u1)) (* u2 (+ (* -314159265359/100000000000 (sqrt -1)) (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (* (pow u2 2) (sqrt -1)))))) u1)) (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* 314159265359/50000000000 (sqrt -1)))))
(* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))))) u1)) (* 1/2 (sin (* 314159265359/50000000000 u2)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (+ (* -1 (/ (+ (* -1/2 (sin (* 314159265359/50000000000 u2))) (* 1/2 (* (sin (* 314159265359/50000000000 u2)) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))))))) u1)) (* 1/2 (sin (* 314159265359/50000000000 u2)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(pow (sqrt -1) 2)
(- (pow (sqrt -1) 2) (* 1/2 (/ 1 u1)))
(+ (* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1 (pow (sqrt -1) 2)) (* -1/2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))))) u1))) u1)) (pow (sqrt -1) 2))
(+ (* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1 (/ (- (* 1/2 (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) 1/2) u1)) (+ (* -1 (pow (sqrt -1) 2)) (* -1/2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))))) u1))) u1)) (pow (sqrt -1) 2))
(+ 1 (* -1 (/ (- (/ 1 u1) 1) u1)))
(+ 1 (* -1 (/ (- (+ (/ 1 u1) (/ 1 (pow u1 2))) 1) u1)))
(* -1 (* u1 (- (/ 1 u1) 1)))
(* -1 (* u1 (- (* -1 (/ (- (* 2 (/ 1 u1)) 1) u1)) 1)))
(* -1 (* u1 (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 u1)) 2) u1)) 1) u1)) 1)))
(* (pow u1 2) (- (* -1 (/ (- (/ 1 u1) 2) u1)) 1))
(+ (* 314159265359/100000000000 (/ (sqrt -1) u1)) (* 314159265359/50000000000 (sqrt -1)))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (sqrt -1)) (* -942477796077/400000000000 (/ (sqrt -1) u1))) u1)) (* 314159265359/50000000000 (sqrt -1)))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (sqrt -1)) (* -1 (/ (+ (* 314159265359/160000000000 (/ (sqrt -1) u1)) (* 942477796077/400000000000 (sqrt -1))) u1))) u1)) (* 314159265359/50000000000 (sqrt -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 (* (sqrt (/ u1 (- 1 u1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))
(* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* u2 (sqrt -1))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1))))))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)))))))))
(* 314159265359/50000000000 (* (sqrt (/ (* u1 (- 1 (pow u1 4))) (- 1 u1))) (/ u2 (+ 1 (pow u1 2)))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (- 1 (pow u1 4))) (- 1 u1))) (/ (pow u2 2) (+ 1 (pow u1 2))))) (* 314159265359/50000000000 (* (sqrt (/ (* u1 (- 1 (pow u1 4))) (- 1 u1))) (/ 1 (+ 1 (pow u1 2)))))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (- 1 (pow u1 4))) (- 1 u1))) (/ 1 (+ 1 (pow u1 2))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (- 1 (pow u1 4))) (- 1 u1))) (/ 1 (+ 1 (pow u1 2))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- 1 (pow u1 4))) (- 1 u1))) (/ (pow u2 2) (+ 1 (pow u1 2)))))))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (- 1 (pow u1 4))) (- 1 u1))) (/ 1 (+ 1 (pow u1 2))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (- 1 (pow u1 4))) (- 1 u1))) (/ 1 (+ 1 (pow u1 2))))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- 1 (pow u1 4))) (- 1 u1))) (/ (pow u2 2) (+ 1 (pow u1 2))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- 1 (pow u1 4))) (- 1 u1))) (/ 1 (+ 1 (pow u1 2)))))))))))
(* 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 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))
(* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 3)))
(* (pow u2 3) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ (* u1 (- 1 (pow u1 4))) (- 1 u1))) (/ (sin (* 314159265359/50000000000 u2)) (+ 1 (pow u1 2))))
(* -1 (* (pow u2 3) (+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))

Calls

9 calls:

Time	Variable		Point	Expression
19.0ms	u1	@	inf	((* (neg (/ u1 (* (- u1 1) (- 1 u1)))) (- 1 u1)) (* (sqrt (* (neg (/ u1 (* (- u1 1) (- 1 u1)))) (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (* (neg (/ u1 (* (- u1 1) (- 1 u1)))) (- 1 u1))) (neg (/ u1 (* (- 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) (+ (* (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (+ (* (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))) u2) (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) (+ -1 (* u1 u1)) (* (sqrt (/ (* (- -1 u1) u1) (+ -1 (* u1 u1)))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ (* (- -1 u1) u1) (+ -1 (* u1 u1)))) (/ (* (- -1 u1) u1) (+ -1 (* u1 u1))) (* (sqrt (/ u1 (* (/ (+ (* u1 u1) 1) (- 1 (pow u1 4))) (* (- 1 u1) (+ (* u1 u1) 1))))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (* (/ (+ (* u1 u1) 1) (- 1 (pow u1 4))) (* (- 1 u1) (+ (* u1 u1) 1))))) (/ u1 (* (/ (+ (* u1 u1) 1) (- 1 (pow u1 4))) (* (- 1 u1) (+ (* u1 u1) 1)))) (* (/ (+ (* u1 u1) 1) (- 1 (pow u1 4))) (* (- 1 u1) (+ (* u1 u1) 1))) (* (- u1 1) (- 1 u1)) (* 314159265359/50000000000 u2) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (- -1 u1) u1) (sin (* 314159265359/50000000000 u2)) (+ (* u1 u1) 1))
10.0ms	u1	@	-inf	((* (neg (/ u1 (* (- u1 1) (- 1 u1)))) (- 1 u1)) (* (sqrt (* (neg (/ u1 (* (- u1 1) (- 1 u1)))) (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (* (neg (/ u1 (* (- u1 1) (- 1 u1)))) (- 1 u1))) (neg (/ u1 (* (- 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) (+ (* (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (+ (* (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))) u2) (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) (+ -1 (* u1 u1)) (* (sqrt (/ (* (- -1 u1) u1) (+ -1 (* u1 u1)))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ (* (- -1 u1) u1) (+ -1 (* u1 u1)))) (/ (* (- -1 u1) u1) (+ -1 (* u1 u1))) (* (sqrt (/ u1 (* (/ (+ (* u1 u1) 1) (- 1 (pow u1 4))) (* (- 1 u1) (+ (* u1 u1) 1))))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (* (/ (+ (* u1 u1) 1) (- 1 (pow u1 4))) (* (- 1 u1) (+ (* u1 u1) 1))))) (/ u1 (* (/ (+ (* u1 u1) 1) (- 1 (pow u1 4))) (* (- 1 u1) (+ (* u1 u1) 1)))) (* (/ (+ (* u1 u1) 1) (- 1 (pow u1 4))) (* (- 1 u1) (+ (* u1 u1) 1))) (* (- u1 1) (- 1 u1)) (* 314159265359/50000000000 u2) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (- -1 u1) u1) (sin (* 314159265359/50000000000 u2)) (+ (* u1 u1) 1))
7.0ms	u2	@	0	((* (neg (/ u1 (* (- u1 1) (- 1 u1)))) (- 1 u1)) (* (sqrt (* (neg (/ u1 (* (- u1 1) (- 1 u1)))) (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (* (neg (/ u1 (* (- u1 1) (- 1 u1)))) (- 1 u1))) (neg (/ u1 (* (- 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) (+ (* (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (+ (* (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))) u2) (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) (+ -1 (* u1 u1)) (* (sqrt (/ (* (- -1 u1) u1) (+ -1 (* u1 u1)))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ (* (- -1 u1) u1) (+ -1 (* u1 u1)))) (/ (* (- -1 u1) u1) (+ -1 (* u1 u1))) (* (sqrt (/ u1 (* (/ (+ (* u1 u1) 1) (- 1 (pow u1 4))) (* (- 1 u1) (+ (* u1 u1) 1))))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (* (/ (+ (* u1 u1) 1) (- 1 (pow u1 4))) (* (- 1 u1) (+ (* u1 u1) 1))))) (/ u1 (* (/ (+ (* u1 u1) 1) (- 1 (pow u1 4))) (* (- 1 u1) (+ (* u1 u1) 1)))) (* (/ (+ (* u1 u1) 1) (- 1 (pow u1 4))) (* (- 1 u1) (+ (* u1 u1) 1))) (* (- u1 1) (- 1 u1)) (* 314159265359/50000000000 u2) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (- -1 u1) u1) (sin (* 314159265359/50000000000 u2)) (+ (* u1 u1) 1))
6.0ms	u2	@	inf	((* (neg (/ u1 (* (- u1 1) (- 1 u1)))) (- 1 u1)) (* (sqrt (* (neg (/ u1 (* (- u1 1) (- 1 u1)))) (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (* (neg (/ u1 (* (- u1 1) (- 1 u1)))) (- 1 u1))) (neg (/ u1 (* (- 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) (+ (* (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (+ (* (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))) u2) (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) (+ -1 (* u1 u1)) (* (sqrt (/ (* (- -1 u1) u1) (+ -1 (* u1 u1)))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ (* (- -1 u1) u1) (+ -1 (* u1 u1)))) (/ (* (- -1 u1) u1) (+ -1 (* u1 u1))) (* (sqrt (/ u1 (* (/ (+ (* u1 u1) 1) (- 1 (pow u1 4))) (* (- 1 u1) (+ (* u1 u1) 1))))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (* (/ (+ (* u1 u1) 1) (- 1 (pow u1 4))) (* (- 1 u1) (+ (* u1 u1) 1))))) (/ u1 (* (/ (+ (* u1 u1) 1) (- 1 (pow u1 4))) (* (- 1 u1) (+ (* u1 u1) 1)))) (* (/ (+ (* u1 u1) 1) (- 1 (pow u1 4))) (* (- 1 u1) (+ (* u1 u1) 1))) (* (- u1 1) (- 1 u1)) (* 314159265359/50000000000 u2) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (- -1 u1) u1) (sin (* 314159265359/50000000000 u2)) (+ (* u1 u1) 1))
6.0ms	u2	@	-inf	((* (neg (/ u1 (* (- u1 1) (- 1 u1)))) (- 1 u1)) (* (sqrt (* (neg (/ u1 (* (- u1 1) (- 1 u1)))) (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (* (neg (/ u1 (* (- u1 1) (- 1 u1)))) (- 1 u1))) (neg (/ u1 (* (- 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) (+ (* (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (+ (* (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))) u2) (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) (+ -1 (* u1 u1)) (* (sqrt (/ (* (- -1 u1) u1) (+ -1 (* u1 u1)))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ (* (- -1 u1) u1) (+ -1 (* u1 u1)))) (/ (* (- -1 u1) u1) (+ -1 (* u1 u1))) (* (sqrt (/ u1 (* (/ (+ (* u1 u1) 1) (- 1 (pow u1 4))) (* (- 1 u1) (+ (* u1 u1) 1))))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (* (/ (+ (* u1 u1) 1) (- 1 (pow u1 4))) (* (- 1 u1) (+ (* u1 u1) 1))))) (/ u1 (* (/ (+ (* u1 u1) 1) (- 1 (pow u1 4))) (* (- 1 u1) (+ (* u1 u1) 1)))) (* (/ (+ (* u1 u1) 1) (- 1 (pow u1 4))) (* (- 1 u1) (+ (* u1 u1) 1))) (* (- u1 1) (- 1 u1)) (* 314159265359/50000000000 u2) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (- -1 u1) u1) (sin (* 314159265359/50000000000 u2)) (+ (* u1 u1) 1))

simplify295.0ms (3.6%)

Memory

-26.1MiB live, 395.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	818	4529
1	2998	3865
0	9176	3616

Stop Event

1×	iter limit
1×	node limit

Counts

177 → 176

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))))))))))))
(* u1 (+ 1 (* 2 u1)))
(* u1 (+ 1 (* u1 (+ 2 (* 3 u1)))))
(* u1 (+ 1 (* u1 (+ 2 (* u1 (+ 3 (* 4 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)
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 314159265359/50000000000 (sqrt u1)))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u1 2) (+ (* -31006276680305942139213528068663279/1500000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* 314159265359/100000000000 (sqrt (/ 1 u1)))))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u1 2) (+ (* -31006276680305942139213528068663279/1500000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (+ (* 314159265359/100000000000 (sqrt (/ 1 u1))) (* u1 (+ (* -31006276680305942139213528068663279/1500000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* 314159265359/100000000000 (sqrt (/ 1 u1))))))))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u1 2) (+ (* -31006276680305942139213528068663279/1500000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (+ (* 314159265359/100000000000 (sqrt (/ 1 u1))) (* u1 (+ (* -31006276680305942139213528068663279/1500000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (+ (* 314159265359/100000000000 (sqrt (/ 1 u1))) (* u1 (+ (* -31006276680305942139213528068663279/1500000000000000000000000000000000 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) (- 1 (* 1/4 (/ 1 u1)))))))))))))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 314159265359/50000000000 (sqrt u1))))
(+ (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 314159265359/50000000000 (sqrt u1)))) (* (pow u1 2) (* u2 (+ (* -31006276680305942139213528068663279/1500000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* 314159265359/100000000000 (sqrt (/ 1 u1)))))))
(+ (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 314159265359/50000000000 (sqrt u1)))) (* (pow u1 2) (+ (* u1 (* u2 (+ (* -31006276680305942139213528068663279/1500000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* 314159265359/100000000000 (sqrt (/ 1 u1)))))) (* u2 (+ (* -31006276680305942139213528068663279/1500000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* 314159265359/100000000000 (sqrt (/ 1 u1))))))))
(+ (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 314159265359/50000000000 (sqrt u1)))) (* (pow u1 2) (+ (* u1 (+ (* u1 (* u2 (+ (* -31006276680305942139213528068663279/1500000000000000000000000000000000 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) (- 1 (* 1/4 (/ 1 u1)))))))) (* u2 (+ (* -31006276680305942139213528068663279/1500000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* 314159265359/100000000000 (sqrt (/ 1 u1))))))) (* u2 (+ (* -31006276680305942139213528068663279/1500000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* 314159265359/100000000000 (sqrt (/ 1 u1))))))))
-1
(- (pow u1 2) 1)
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* -1 (* (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 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (+ (* 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 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))))))))))
(sqrt u1)
(+ (sqrt u1) (* (pow u1 2) (+ (* -1 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1 (sqrt u1)) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1)))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1 (sqrt u1)) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (sqrt u1) (+ (* -1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt (/ 1 u1)) (- 1 (* 1/4 (/ 1 u1))))))))))))))
(* u1 (+ 1 (* u1 (+ 1 (* -1 u1)))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (- (* -1 u1) 1))))))
1
(+ 1 (* -1 u1))
(+ 1 (* u1 (- (* 2 u1) 1)))
(+ 1 (* u1 (- (* u1 (+ 2 (* -2 u1))) 1)))
(- (* 2 u1) 1)
(- (* u1 (+ 2 (* -1 u1))) 1)
(* 314159265359/50000000000 (sqrt u1))
(+ (* 314159265359/100000000000 (sqrt (pow u1 3))) (* 314159265359/50000000000 (sqrt u1)))
(+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u1 2) (+ (* 314159265359/100000000000 (sqrt u1)) (* 314159265359/100000000000 (sqrt (/ 1 u1))))))
(+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u1 2) (+ (* 314159265359/100000000000 (sqrt (/ 1 u1))) (* u1 (+ (* 314159265359/100000000000 (sqrt (/ 1 u1))) (* 314159265359/100000000000 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(* -1 u1)
(* u1 (- (* -1 u1) 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 u1)
(/ (+ 1 (* 2 (/ 1 u1))) u1)
(/ (+ 1 (+ (* 2 (/ 1 u1)) (/ 3 (pow u1 2)))) u1)
(/ (+ 1 (+ (* 2 (/ 1 u1)) (+ (* 4 (/ 1 (pow u1 3))) (/ 3 (pow u1 2))))) 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))))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* 314159265359/50000000000 (sqrt -1)))
(- (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* 314159265359/50000000000 (sqrt -1)) (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (/ (pow u2 2) (* u1 (sqrt -1)))))) (/ 314159265359/100000000000 (* u1 (sqrt -1))))
(- (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* -314159265359/100000000000 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (+ (* 314159265359/50000000000 (sqrt -1)) (+ (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (/ (pow u2 2) (* u1 (sqrt -1)))))))) (/ 314159265359/100000000000 (* u1 (sqrt -1))))
(- (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* -314159265359/100000000000 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))) (+ (* 314159265359/50000000000 (sqrt -1)) (+ (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (/ (pow u2 2) (* u1 (sqrt -1)))))))))) (/ 314159265359/100000000000 (* u1 (sqrt -1))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* 314159265359/50000000000 (sqrt -1))))
(+ (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* 314159265359/50000000000 (sqrt -1)))) (/ (* u2 (- (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (/ (pow u2 2) (sqrt -1))) (* 314159265359/100000000000 (/ 1 (sqrt -1))))) u1))
(+ (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* 314159265359/50000000000 (sqrt -1)))) (+ (/ (* u2 (+ (* -314159265359/100000000000 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))))) (pow u1 2)) (/ (* u2 (- (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (/ (pow u2 2) (sqrt -1))) (* 314159265359/100000000000 (/ 1 (sqrt -1))))) u1)))
(+ (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* 314159265359/50000000000 (sqrt -1)))) (+ (/ (* u2 (+ (* -314159265359/100000000000 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))))) (pow u1 2)) (+ (/ (* u2 (+ (* -314159265359/100000000000 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (sqrt -1))) (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (sqrt -1))))) (pow u1 3)) (/ (* u2 (- (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (/ (pow u2 2) (sqrt -1))) (* 314159265359/100000000000 (/ 1 (sqrt -1))))) u1))))
(pow u1 2)
(* (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)) (+ (* -1 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (+ (* 3/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)))))
(+ (sin (* 314159265359/50000000000 u2)) (+ (* -1 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 3))) (+ (* 5/16 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 3))) (+ (* 3/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)))))))
(+ 1 (* 1/2 (/ 1 u1)))
(- (+ 1 (* 1/2 (/ 1 u1))) (/ 5/8 (pow u1 2)))
(+ 1 (+ (* -1 (/ (+ 5/8 (* 3/16 (/ 1 u1))) (pow u1 2))) (* 1/2 (/ 1 u1))))
(+ 1 (/ 1 u1))
(- (+ 1 (/ 1 u1)) (/ 1 (pow u1 2)))
(+ 1 (+ (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (/ 1 u1)))
(* u1 (- 1 (/ 1 u1)))
(* u1 (- (+ 1 (/ 2 (pow u1 2))) (/ 1 u1)))
(* u1 (- (+ 1 (/ 2 (pow u1 2))) (+ (/ 1 u1) (* 2 (/ 1 (pow u1 3))))))
(* -1 (pow u1 2))
(* (pow u1 2) (- (* 2 (/ 1 u1)) 1))
(* (pow u1 2) (- (* 2 (/ 1 u1)) (+ 1 (/ 1 (pow u1 2)))))
(* 314159265359/50000000000 (sqrt -1))
(- (* 314159265359/50000000000 (sqrt -1)) (* 314159265359/100000000000 (/ 1 (* u1 (sqrt -1)))))
(- (+ (* -314159265359/100000000000 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* 314159265359/50000000000 (sqrt -1))) (/ 314159265359/100000000000 (* u1 (sqrt -1))))
(- (+ (* -314159265359/100000000000 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))) (* 314159265359/50000000000 (sqrt -1)))) (/ 314159265359/100000000000 (* u1 (sqrt -1))))
(* -1 (* (pow u1 2) (+ 1 (/ 1 u1))))
(* (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)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 3 (/ 1 u1))) u1)) 1) u1))
(* -1 (/ (- (* -1 (/ (+ 2 (+ (* 3 (/ 1 u1)) (/ 4 (pow u1 2)))) u1)) 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))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* -1 (/ (+ (* -314159265359/100000000000 (sqrt -1)) (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (* (pow u2 2) (sqrt -1)))) u1)) (* 314159265359/50000000000 (sqrt -1))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* -1 (/ (+ (* -314159265359/100000000000 (sqrt -1)) (+ (* -1 (/ (+ (* -31006276680305942139213528068663279/2000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* 942477796077/400000000000 (sqrt -1))) u1)) (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (* (pow u2 2) (sqrt -1))))) u1)) (* 314159265359/50000000000 (sqrt -1))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* -1 (/ (+ (* -314159265359/100000000000 (sqrt -1)) (+ (* -1 (/ (+ (* -31006276680305942139213528068663279/2000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* -1 (/ (+ (* -314159265359/160000000000 (sqrt -1)) (* 31006276680305942139213528068663279/2400000000000000000000000000000000 (* (pow u2 2) (sqrt -1)))) u1)) (* 942477796077/400000000000 (sqrt -1)))) u1)) (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (* (pow u2 2) (sqrt -1))))) u1)) (* 314159265359/50000000000 (sqrt -1))))
(+ (* -1 (/ (* u2 (+ (* -314159265359/100000000000 (sqrt -1)) (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (* (pow u2 2) (sqrt -1))))) u1)) (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* 314159265359/50000000000 (sqrt -1)))))
(+ (* -1 (/ (+ (* -1 (/ (* u2 (+ (* -31006276680305942139213528068663279/2000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* 942477796077/400000000000 (sqrt -1)))) u1)) (* u2 (+ (* -314159265359/100000000000 (sqrt -1)) (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (* (pow u2 2) (sqrt -1)))))) u1)) (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* 314159265359/50000000000 (sqrt -1)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* u2 (+ (* -314159265359/160000000000 (sqrt -1)) (* 31006276680305942139213528068663279/2400000000000000000000000000000000 (* (pow u2 2) (sqrt -1))))) u1)) (* u2 (+ (* -31006276680305942139213528068663279/2000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* 942477796077/400000000000 (sqrt -1))))) u1)) (* u2 (+ (* -314159265359/100000000000 (sqrt -1)) (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (* (pow u2 2) (sqrt -1)))))) u1)) (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* 314159265359/50000000000 (sqrt -1)))))
(* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))))) u1)) (* 1/2 (sin (* 314159265359/50000000000 u2)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (+ (* -1 (/ (+ (* -1/2 (sin (* 314159265359/50000000000 u2))) (* 1/2 (* (sin (* 314159265359/50000000000 u2)) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))))))) u1)) (* 1/2 (sin (* 314159265359/50000000000 u2)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(pow (sqrt -1) 2)
(- (pow (sqrt -1) 2) (* 1/2 (/ 1 u1)))
(+ (* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1 (pow (sqrt -1) 2)) (* -1/2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))))) u1))) u1)) (pow (sqrt -1) 2))
(+ (* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1 (/ (- (* 1/2 (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) 1/2) u1)) (+ (* -1 (pow (sqrt -1) 2)) (* -1/2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))))) u1))) u1)) (pow (sqrt -1) 2))
(+ 1 (* -1 (/ (- (/ 1 u1) 1) u1)))
(+ 1 (* -1 (/ (- (+ (/ 1 u1) (/ 1 (pow u1 2))) 1) u1)))
(* -1 (* u1 (- (/ 1 u1) 1)))
(* -1 (* u1 (- (* -1 (/ (- (* 2 (/ 1 u1)) 1) u1)) 1)))
(* -1 (* u1 (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 u1)) 2) u1)) 1) u1)) 1)))
(* (pow u1 2) (- (* -1 (/ (- (/ 1 u1) 2) u1)) 1))
(+ (* 314159265359/100000000000 (/ (sqrt -1) u1)) (* 314159265359/50000000000 (sqrt -1)))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (sqrt -1)) (* -942477796077/400000000000 (/ (sqrt -1) u1))) u1)) (* 314159265359/50000000000 (sqrt -1)))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (sqrt -1)) (* -1 (/ (+ (* 314159265359/160000000000 (/ (sqrt -1) u1)) (* 942477796077/400000000000 (sqrt -1))) u1))) u1)) (* 314159265359/50000000000 (sqrt -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 (* (sqrt (/ u1 (- 1 u1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))
(* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* u2 (sqrt -1))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1))))))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)))))))))
(* 314159265359/50000000000 (* (sqrt (/ (* u1 (- 1 (pow u1 4))) (- 1 u1))) (/ u2 (+ 1 (pow u1 2)))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (- 1 (pow u1 4))) (- 1 u1))) (/ (pow u2 2) (+ 1 (pow u1 2))))) (* 314159265359/50000000000 (* (sqrt (/ (* u1 (- 1 (pow u1 4))) (- 1 u1))) (/ 1 (+ 1 (pow u1 2)))))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (- 1 (pow u1 4))) (- 1 u1))) (/ 1 (+ 1 (pow u1 2))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (- 1 (pow u1 4))) (- 1 u1))) (/ 1 (+ 1 (pow u1 2))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- 1 (pow u1 4))) (- 1 u1))) (/ (pow u2 2) (+ 1 (pow u1 2)))))))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (- 1 (pow u1 4))) (- 1 u1))) (/ 1 (+ 1 (pow u1 2))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (- 1 (pow u1 4))) (- 1 u1))) (/ 1 (+ 1 (pow u1 2))))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- 1 (pow u1 4))) (- 1 u1))) (/ (pow u2 2) (+ 1 (pow u1 2))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- 1 (pow u1 4))) (- 1 u1))) (/ 1 (+ 1 (pow u1 2)))))))))))
(* 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 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))
(* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 3)))
(* (pow u2 3) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ (* u1 (- 1 (pow u1 4))) (- 1 u1))) (/ (sin (* 314159265359/50000000000 u2)) (+ 1 (pow u1 2))))
(* -1 (* (pow u2 3) (+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 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 (sin.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (PI.f32))) (sqrt.f32 u1))
(+ (* -1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(fma.f32 (.f32 #s(literal -1/2 binary32) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (*.f32 (sin.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (PI.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)))))))
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(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
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(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
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(* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))
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(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))
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(* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* u2 (sqrt -1))))
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(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)))))
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(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)))))))))
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(* 314159265359/50000000000 (* (sqrt (/ (* u1 (- 1 (pow u1 4))) (- 1 u1))) (/ u2 (+ 1 (pow u1 2)))))
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(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (- 1 (pow u1 4))) (- 1 u1))) (/ (pow u2 2) (+ 1 (pow u1 2))))) (* 314159265359/50000000000 (* (sqrt (/ (* u1 (- 1 (pow u1 4))) (- 1 u1))) (/ 1 (+ 1 (pow u1 2)))))))
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(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (- 1 (pow u1 4))) (- 1 u1))) (/ 1 (+ 1 (pow u1 2))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (- 1 (pow u1 4))) (- 1 u1))) (/ 1 (+ 1 (pow u1 2))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- 1 (pow u1 4))) (- 1 u1))) (/ (pow u2 2) (+ 1 (pow u1 2)))))))))
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(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (- 1 (pow u1 4))) (- 1 u1))) (/ 1 (+ 1 (pow u1 2))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (- 1 (pow u1 4))) (- 1 u1))) (/ 1 (+ 1 (pow u1 2))))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- 1 (pow u1 4))) (- 1 u1))) (/ (pow u2 2) (+ 1 (pow u1 2))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- 1 (pow u1 4))) (- 1 u1))) (/ 1 (+ 1 (pow u1 2)))))))))))
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(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
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(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
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(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(fma.f32 (pow.f32 u2 #s(literal 3 binary32)) (-.f32 (.f32 (.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (.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)))
(* (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))))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))
(.f32 (.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))
(.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 u2)) #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 u2 u2))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 3)))
(.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 3 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (pow u2 3) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))
(.f32 (pow.f32 u2 #s(literal 3 binary32)) (fma.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 u2)) #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 (.f32 u1 u1) #s(literal 1 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(* (sqrt (/ (* u1 (- 1 (pow u1 4))) (- 1 u1))) (/ (sin (* 314159265359/50000000000 u2)) (+ 1 (pow u1 2))))
(.f32 (/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 u1 u1 #s(literal 1 binary32))) (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))) u1) (-.f32 #s(literal 1 binary32) u1))))
(* -1 (* (pow u2 3) (+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))
(.f32 (neg.f32 (pow.f32 u2 #s(literal 3 binary32))) (fma.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 u2)) #s(literal -314159265359/50000000000 binary32) (*.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))

rewrite222.0ms (2.7%)

Memory

16.4MiB live, 192.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	361
0	91	343
1	267	339
2	1725	307
0	8478	302

Stop Event

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

Counts

26 → 620

Calls

Call 1

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

Outputs
(.f32 (/.f32 (/.f32 u1 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) #s(literal 1 binary32)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (neg.f32 (-.f32 #s(literal -1 binary32) u1))) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 u1 (neg.f32 (-.f32 #s(literal -1 binary32) u1))) (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (neg.f32 (-.f32 #s(literal -1 binary32) u1))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal -1 binary32) u1)) (/.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal -1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)))
(*.f32 (/.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) u1)) (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal -1 binary32) u1)))
(*.f32 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)) (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal -1 binary32) u1)))
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 (-.f32 #s(literal 1 binary32) u1) (neg.f32 (-.f32 #s(literal -1 binary32) u1))))
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 u1 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u1))
(*.f32 (/.f32 (neg.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32))) (-.f32 #s(literal -1 binary32) u1))
(*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (/.f32 u1 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32))) #s(literal 1 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 u1 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32))))
(/.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (/.f32 u1 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32))))) (neg.f32 (+.f32 #s(literal 1 binary32) u1)))
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (/.f32 u1 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32))))) (neg.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(/.f32 (neg.f32 (.f32 (/.f32 u1 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (neg.f32 (+.f32 #s(literal 1 binary32) u1)))
(/.f32 (neg.f32 (*.f32 (/.f32 u1 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (neg.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) u1))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)))
(/.f32 (neg.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32))))
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (neg.f32 u1))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)))
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32))))
(/.f32 (neg.f32 (.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (neg.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal -1 binary32) u1)) (+.f32 #s(literal 1 binary32) u1))))
(/.f32 (neg.f32 (.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (neg.f32 (.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal -1 binary32) u1)) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (neg.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) u1))))
(/.f32 (neg.f32 (.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (neg.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (neg.f32 u1))) (neg.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal -1 binary32) u1)))))
(/.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (neg.f32 u1))) (neg.f32 (.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal -1 binary32) u1)))))
(/.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) u1)) (neg.f32 (.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) u1)) (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)))))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (/.f32 u1 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) u1))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (/.f32 u1 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)))) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))
(/.f32 (.f32 (/.f32 u1 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))
(/.f32 (*.f32 (/.f32 u1 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))
(/.f32 (.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal -1 binary32) u1)))
(/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (neg.f32 u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal -1 binary32) u1)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)))
(/.f32 (.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal -1 binary32) u1)) (+.f32 #s(literal 1 binary32) u1)))
(/.f32 (.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal -1 binary32) u1)) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(/.f32 (.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) 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 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (neg.f32 u1)) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal -1 binary32) u1))))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (neg.f32 u1)) (.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal -1 binary32) u1))))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) u1) (.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32))))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32))))
(neg.f32 (*.f32 (/.f32 (neg.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u1)))
(.f32 (.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (/.f32 (sqrt.f32 u1) (fabs.f32 (-.f32 #s(literal -1 binary32) u1)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(.f32 (/.f32 (sqrt.f32 u1) (fabs.f32 (-.f32 #s(literal -1 binary32) u1))) (.f32 (sqrt.f32 (-.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))) (/.f32 (sqrt.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fabs.f32 (-.f32 #s(literal -1 binary32) u1))))
(.f32 (/.f32 (sqrt.f32 (.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fabs.f32 (-.f32 #s(literal -1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (neg.f32 (pow.f32 (.f32 (/.f32 u1 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (neg.f32 (pow.f32 (*.f32 (/.f32 u1 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))))
(.f32 (fabs.f32 (pow.f32 (.f32 (/.f32 u1 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (fabs.f32 (pow.f32 (*.f32 (/.f32 u1 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))))
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(/.f32 (-.f32 (.f32 (/.f32 (pow.f32 u1 #s(literal 6 binary32)) (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 u1 u1))) (/.f32 (pow.f32 u1 #s(literal 6 binary32)) (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 u1 u1)))) (.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 u1 u1))))) (-.f32 (/.f32 (pow.f32 u1 #s(literal 6 binary32)) (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 u1 u1)))))
(/.f32 (-.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal -1 binary32)) (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 u1 u1)))
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #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)))))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 (neg.f32 (neg.f32 u1)) (neg.f32 u1)) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 u1 #s(literal 4 binary32)) (.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (neg.f32 u1)) (neg.f32 u1))))))
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(/.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 (neg.f32 (neg.f32 (+.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32)))) (neg.f32 (neg.f32 (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 u1 u1)))))
(/.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 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 2 binary32)))
(/.f32 (fma.f32 (pow.f32 u1 #s(literal 6 binary32)) (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 u1 u1)) (.f32 (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 u1 u1)) #s(literal 1 binary32))) (.f32 (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 u1 u1)) (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 u1 u1))))
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(/.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 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 u1 u1)))
(/.f32 (+.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32)) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.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 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (/.f32 (/.f32 (pow.f32 u1 #s(literal 8 binary32)) (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))
(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 8 binary32))) (pow.f32 u1 #s(literal 4 binary32)))) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (/.f32 (/.f32 (pow.f32 u1 #s(literal 12 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 8 binary32))) (pow.f32 u1 #s(literal 4 binary32)))) (-.f32 #s(literal 1 binary32) (.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))
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(fma.f32 (neg.f32 (neg.f32 u1)) (neg.f32 (neg.f32 u1)) #s(literal 1 binary32))
(fma.f32 (neg.f32 u1) (*.f32 (neg.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 #s(literal 1 binary32) (*.f32 u1 u1) #s(literal 1 binary32))
(fma.f32 u1 (fabs.f32 (*.f32 (neg.f32 u1) #s(literal 1 binary32))) #s(literal 1 binary32))
(fma.f32 u1 u1 #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) (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)) (fma.f32 (.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 1 binary32))))
(+.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (/.f32 (.f32 (.f32 (neg.f32 u1) u1) (.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(+.f32 (/.f32 (pow.f32 u1 #s(literal 6 binary32)) (fma.f32 (.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 1 binary32))))
(+.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 u1 u1))) (/.f32 (pow.f32 u1 #s(literal 6 binary32)) (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 u1 u1))))
(+.f32 (/.f32 (pow.f32 u1 #s(literal 6 binary32)) (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 u1 u1))))
(+.f32 (*.f32 u1 u1) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 u1 u1))

eval184.0ms (2.2%)

Memory: -0.9MiB live, 206.0MiB allocated
Compiler: Compiled 34 771 to 4 253 computations (87.8% saved)

prune122.0ms (1.5%)

Memory

-5.7MiB live, 105.6MiB allocated

Pruning

38 alts after pruning (32 fresh and 6 done)

	Pruned	Kept	Total
New	835	17	852
Fresh	12	15	27
Picked	3	2	5
Done	1	4	5
Total	851	38	889

Accuracy

100.0%

Counts

889 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.1%	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	97.9%	(.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) (/.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	78.5%	(.f32 (pow.f32 #s(approx (pow (/ u1 (- 1 u1)) 1/4) (pow.f32 u1 #s(literal 1/4 binary32))) #s(literal 2 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	83.4%	(.f32 (/.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.3%	(.f32 (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) u1) (.f32 (+.f32 #s(literal 1 binary32) u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	98.4%	(.f32 (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal -1 binary32) u1) u1) (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.1%	(.f32 (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal -1 binary32) u1) u1) #s(approx (+ -1 (* u1 u1)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) u1) u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	97.9%	(.f32 (sqrt.f32 (/.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.3%	(.f32 (sqrt.f32 (/.f32 #s(approx ( (- -1 u1) u1) (.f32 (.f32 (neg.f32 u1) u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	98.4%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	87.8%	(.f32 (sqrt.f32 (.f32 (neg.f32 (/.f32 u1 #s(approx (* (- u1 1) (- 1 u1)) (-.f32 (.f32 #s(literal 2 binary32) u1) #s(literal 1 binary32))))) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	98.0%	(.f32 (sqrt.f32 (.f32 (neg.f32 (/.f32 u1 #s(approx (* (- u1 1) (- 1 u1)) (.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (neg.f32 u1)) #s(literal 1 binary32)) (.f32 u1 u1))))) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.3%	(.f32 (sqrt.f32 (.f32 u1 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	98.2%	(.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	83.0%	(.f32 (sqrt.f32 u1) (/.f32 #s(approx (sin ( u2 314159265359/50000000000)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	83.2%	(.f32 (sqrt.f32 u1) #s(approx (/ (sin ( u2 314159265359/50000000000)) (sqrt (- 1 u1))) (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2)))
	83.1%	(.f32 (sqrt.f32 u1) #s(approx (/ (sin ( u2 314159265359/50000000000)) (sqrt (- 1 u1))) (.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
▶	98.4%	(.f32 (sqrt.f32 u1) #s(approx (/ (sin ( u2 314159265359/50000000000)) (sqrt (- 1 u1))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
▶	78.7%	(.f32 (sqrt.f32 u1) #s(approx (/ (sin ( u2 314159265359/50000000000)) (sqrt (- 1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
	96.1%	(.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	96.1%	(.f32 (exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	82.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	90.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (+.f32 (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2))) u2) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32))))
	89.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (-.f32 (.f32 (.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -314159265359/50000000000 binary32) (sqrt.f32 u1)))) (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) u2))
	89.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (-.f32 (.f32 (.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (pow.f32 u2 #s(literal 4 binary32))) (.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (-.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 314159265359/50000000000 binary32)))) u2))
	89.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (-.f32 (.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 u1)) (*.f32 #s(literal -314159265359/50000000000 binary32) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) u2))
	82.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (.f32 (sqrt.f32 u1) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) u2))
	90.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (-.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2))) (*.f32 #s(literal -314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2))
	83.1%	#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))
▶	89.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (-.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)) #s(literal -314159265359/50000000000 binary32))) u2))
	83.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
✓	83.1%	#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)))
	5.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (+ ( (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))) (.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 u2)) #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 u2 u2))) u2))
	5.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (+ ( (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))) (.f32 (.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2))
	83.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (+ ( (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2))
	69.4%	#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)))
✓	69.4%	#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))))
▶	69.4%	#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)))

Compiler

Compiled 1 913 to 1 428 computations (25.4% saved)

simplify164.0ms (2%)

Memory

-2.7MiB live, 124.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(neg.f32 (/.f32 u1 #s(approx (* (- u1 1) (- 1 u1)) (.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (neg.f32 u1)) #s(literal 1 binary32)) (.f32 u1 u1)))))
cost-diff	0	(.f32 (neg.f32 (/.f32 u1 #s(approx ( (- u1 1) (- 1 u1)) (.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (neg.f32 u1)) #s(literal 1 binary32)) (.f32 u1 u1))))) (-.f32 #s(literal 1 binary32) u1))
cost-diff	0	(sqrt.f32 (.f32 (neg.f32 (/.f32 u1 #s(approx ( (- u1 1) (- 1 u1)) (.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (neg.f32 u1)) #s(literal 1 binary32)) (.f32 u1 u1))))) (-.f32 #s(literal 1 binary32) u1)))
cost-diff	0	(.f32 (sqrt.f32 (.f32 (neg.f32 (/.f32 u1 #s(approx (* (- u1 1) (- 1 u1)) (.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (neg.f32 u1)) #s(literal 1 binary32)) (.f32 u1 u1))))) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	0	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
cost-diff	0	#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	0	(sqrt.f32 u1)
cost-diff	0	(.f32 (sqrt.f32 u1) #s(approx (/ (sin ( u2 314159265359/50000000000)) (sqrt (- 1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
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 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal -314159265359/50000000000 binary32)))
cost-diff	0	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (-.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)) #s(literal -314159265359/50000000000 binary32))) u2)
cost-diff	0	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (-.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)) #s(literal -314159265359/50000000000 binary32))) u2))
cost-diff	0	(*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))
cost-diff	0	(.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)
cost-diff	0	#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2))
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) #s(literal 314159265359/50000000000 binary32)) u2)))
cost-diff	0	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	0	#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
cost-diff	0	(sqrt.f32 u1)
cost-diff	0	(.f32 (sqrt.f32 u1) #s(approx (/ (sin ( u2 314159265359/50000000000)) (sqrt (- 1 u1))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.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	56	504
0	89	504
1	133	504
2	222	504
3	323	504
4	461	504
5	622	504
6	765	504
7	860	504
8	960	504
9	1218	504
10	1892	504
11	3700	504
12	6176	504
0	8156	504

Stop Event

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

Calls

Call 1

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

Outputs
(.f32 (sqrt.f32 u1) #s(approx (/ (sin ( u2 314159265359/50000000000)) (sqrt (- 1 u1))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(.f32 #s(approx (/ (sin ( u2 314159265359/50000000000)) (sqrt (- 1 u1))) (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 u1))
(sqrt.f32 u1)
u1
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) u1)
(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) #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 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) 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))) (* 314159265359/50000000000 u2)) (.f32 (.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2))
(.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2)
(*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))
(*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))
(sqrt.f32 u1)
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))) (-.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)) #s(literal -314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (-.f32 (.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -314159265359/50000000000 binary32)) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (-.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)) #s(literal -314159265359/50000000000 binary32))) u2)
(.f32 (.f32 (-.f32 (.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #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))) (-.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal -314159265359/50000000000 binary32)))
(.f32 (-.f32 (.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #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)
(-.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)) #s(literal -314159265359/50000000000 binary32))
(-.f32 (.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -314159265359/50000000000 binary32))
(.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2))
(.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))
#s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)
(*.f32 u2 u2)
u2
#s(literal -314159265359/50000000000 binary32)
(.f32 (sqrt.f32 u1) #s(approx (/ (sin ( u2 314159265359/50000000000)) (sqrt (- 1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(.f32 #s(approx (/ (sin ( u2 314159265359/50000000000)) (sqrt (- 1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1))
(sqrt.f32 u1)
u1
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(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 (neg.f32 (/.f32 u1 #s(approx (* (- u1 1) (- 1 u1)) (.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (neg.f32 u1)) #s(literal 1 binary32)) (.f32 u1 u1))))) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 (.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) u1)) #s(approx (* (- u1 1) (- 1 u1)) (.f32 (.f32 u1 u1) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (neg.f32 u1)) #s(literal 1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (.f32 (neg.f32 (/.f32 u1 #s(approx ( (- u1 1) (- 1 u1)) (.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (neg.f32 u1)) #s(literal 1 binary32)) (.f32 u1 u1))))) (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (/.f32 (.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) u1)) #s(approx ( (- u1 1) (- 1 u1)) (.f32 (.f32 u1 u1) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (neg.f32 u1)) #s(literal 1 binary32))))))
(.f32 (neg.f32 (/.f32 u1 #s(approx ( (- u1 1) (- 1 u1)) (.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (neg.f32 u1)) #s(literal 1 binary32)) (.f32 u1 u1))))) (-.f32 #s(literal 1 binary32) u1))
(/.f32 (.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) u1)) #s(approx ( (- u1 1) (- 1 u1)) (.f32 (.f32 u1 u1) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (neg.f32 u1)) #s(literal 1 binary32)))))
(neg.f32 (/.f32 u1 #s(approx (* (- u1 1) (- 1 u1)) (.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (neg.f32 u1)) #s(literal 1 binary32)) (.f32 u1 u1)))))
(/.f32 (neg.f32 u1) #s(approx (* (- u1 1) (- 1 u1)) (.f32 (.f32 u1 u1) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (neg.f32 u1)) #s(literal 1 binary32)))))
(/.f32 u1 #s(approx (* (- u1 1) (- 1 u1)) (.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (neg.f32 u1)) #s(literal 1 binary32)) (.f32 u1 u1))))
(/.f32 u1 #s(approx (* (- u1 1) (- 1 u1)) (.f32 (.f32 u1 u1) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (neg.f32 u1)) #s(literal 1 binary32)))))
u1
#s(approx (* (- u1 1) (- 1 u1)) (.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (neg.f32 u1)) #s(literal 1 binary32)) (.f32 u1 u1)))
#s(approx (* (- u1 1) (- 1 u1)) (.f32 (.f32 u1 u1) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (neg.f32 u1)) #s(literal 1 binary32))))
(.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (neg.f32 u1)) #s(literal 1 binary32)) (.f32 u1 u1))
(.f32 (.f32 u1 u1) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (neg.f32 u1)) #s(literal 1 binary32)))
(-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (neg.f32 u1)) #s(literal 1 binary32))
(/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (neg.f32 u1))
(-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
#s(literal 2 binary32)
(neg.f32 u1)
(*.f32 u1 u1)
(-.f32 #s(literal 1 binary32) u1)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2

localize197.0ms (2.4%)

Memory

-0.1MiB live, 156.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.27734375	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.28125	(/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (neg.f32 u1))
accuracy	0.40853500976844204	(.f32 (sqrt.f32 (.f32 (neg.f32 (/.f32 u1 #s(approx (* (- u1 1) (- 1 u1)) (.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (neg.f32 u1)) #s(literal 1 binary32)) (.f32 u1 u1))))) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.42806625976844204	(.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (neg.f32 u1)) #s(literal 1 binary32)) (.f32 u1 u1))
accuracy	0.13119125976844204	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy	0.27734375	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.3515625	(.f32 (sqrt.f32 u1) #s(approx (/ (sin ( u2 314159265359/50000000000)) (sqrt (- 1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
accuracy	6.7361314800725465	#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.28515625	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (-.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal -314159265359/50000000000 binary32)))
accuracy	0.296875	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (-.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)) #s(literal -314159265359/50000000000 binary32))) u2)
accuracy	0.34375	(.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2))
accuracy	2.8755636532448716	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (-.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)) #s(literal -314159265359/50000000000 binary32))) u2))
accuracy	0.24609375	(.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)
accuracy	0.356132519536884	(*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))
accuracy	5.116116453861414	#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)))
accuracy	6.732731407306682	#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2))
accuracy	0.15234375	(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
accuracy	0.27734375	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.328125	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.3515625	(.f32 (sqrt.f32 u1) #s(approx (/ (sin ( u2 314159265359/50000000000)) (sqrt (- 1 u1))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))))

Samples

152.0ms

256×

valid

Compiler

Compiled 340 to 47 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 110.0ms

ival-sub: 33.0ms (30.1% of total)

ival-mult: 24.0ms (21.9% of total)

const: 21.0ms (19.2% of total)

ival-div: 10.0ms (9.1% of total)

ival-sqrt: 8.0ms (7.3% of total)

ival-neg: 7.0ms (6.4% of total)

ival-sin: 6.0ms (5.5% of total)

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

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

exact: 0.0ms (0% of total)

series38.0ms (0.5%)

Memory

17.6MiB live, 46.6MiB allocated

Counts

24 → 148

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
16.0ms	u2	@	0	((* (sqrt u1) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1)))) (sqrt u1) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (* (sqrt (/ 1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (* (* (sqrt u1) 314159265359/50000000000) u2) (* (sqrt u1) 314159265359/50000000000) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (* (sqrt (/ u1 (- 1 u1))) (- (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) -314159265359/50000000000)) u2) (* (sqrt (/ u1 (- 1 u1))) (- (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) -314159265359/50000000000)) (sqrt (/ u1 (- 1 u1))) (* (sqrt u1) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1)))) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (sin (* 314159265359/50000000000 u2)) (* (sqrt (* (neg (/ u1 (* (- u1 1) (- 1 u1)))) (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (* (neg (/ u1 (* (- u1 1) (- 1 u1)))) (- 1 u1))) (* (neg (/ u1 (* (- u1 1) (- 1 u1)))) (- 1 u1)) (neg (/ u1 (* (- u1 1) (- 1 u1)))) (* 314159265359/50000000000 u2) (/ 1 (- 1 u1)) (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) (* (- (/ (- (/ 1 u1) 2) (neg u1)) 1) (* u1 u1)) (/ (- (/ 1 u1) 2) (neg u1)))
4.0ms	u2	@	inf	((* (sqrt u1) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1)))) (sqrt u1) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (* (sqrt (/ 1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (* (* (sqrt u1) 314159265359/50000000000) u2) (* (sqrt u1) 314159265359/50000000000) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (* (sqrt (/ u1 (- 1 u1))) (- (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) -314159265359/50000000000)) u2) (* (sqrt (/ u1 (- 1 u1))) (- (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) -314159265359/50000000000)) (sqrt (/ u1 (- 1 u1))) (* (sqrt u1) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1)))) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (sin (* 314159265359/50000000000 u2)) (* (sqrt (* (neg (/ u1 (* (- u1 1) (- 1 u1)))) (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (* (neg (/ u1 (* (- u1 1) (- 1 u1)))) (- 1 u1))) (* (neg (/ u1 (* (- u1 1) (- 1 u1)))) (- 1 u1)) (neg (/ u1 (* (- u1 1) (- 1 u1)))) (* 314159265359/50000000000 u2) (/ 1 (- 1 u1)) (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) (* (- (/ (- (/ 1 u1) 2) (neg u1)) 1) (* u1 u1)) (/ (- (/ 1 u1) 2) (neg u1)))
4.0ms	u1	@	inf	((* (sqrt u1) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1)))) (sqrt u1) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (* (sqrt (/ 1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (* (* (sqrt u1) 314159265359/50000000000) u2) (* (sqrt u1) 314159265359/50000000000) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (* (sqrt (/ u1 (- 1 u1))) (- (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) -314159265359/50000000000)) u2) (* (sqrt (/ u1 (- 1 u1))) (- (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) -314159265359/50000000000)) (sqrt (/ u1 (- 1 u1))) (* (sqrt u1) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1)))) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (sin (* 314159265359/50000000000 u2)) (* (sqrt (* (neg (/ u1 (* (- u1 1) (- 1 u1)))) (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (* (neg (/ u1 (* (- u1 1) (- 1 u1)))) (- 1 u1))) (* (neg (/ u1 (* (- u1 1) (- 1 u1)))) (- 1 u1)) (neg (/ u1 (* (- u1 1) (- 1 u1)))) (* 314159265359/50000000000 u2) (/ 1 (- 1 u1)) (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) (* (- (/ (- (/ 1 u1) 2) (neg u1)) 1) (* u1 u1)) (/ (- (/ 1 u1) 2) (neg u1)))
4.0ms	u1	@	-inf	((* (sqrt u1) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1)))) (sqrt u1) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (* (sqrt (/ 1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (* (* (sqrt u1) 314159265359/50000000000) u2) (* (sqrt u1) 314159265359/50000000000) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (* (sqrt (/ u1 (- 1 u1))) (- (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) -314159265359/50000000000)) u2) (* (sqrt (/ u1 (- 1 u1))) (- (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) -314159265359/50000000000)) (sqrt (/ u1 (- 1 u1))) (* (sqrt u1) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1)))) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (sin (* 314159265359/50000000000 u2)) (* (sqrt (* (neg (/ u1 (* (- u1 1) (- 1 u1)))) (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (* (neg (/ u1 (* (- u1 1) (- 1 u1)))) (- 1 u1))) (* (neg (/ u1 (* (- u1 1) (- 1 u1)))) (- 1 u1)) (neg (/ u1 (* (- u1 1) (- 1 u1)))) (* 314159265359/50000000000 u2) (/ 1 (- 1 u1)) (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) (* (- (/ (- (/ 1 u1) 2) (neg u1)) 1) (* u1 u1)) (/ (- (/ 1 u1) 2) (neg u1)))
3.0ms	u2	@	-inf	((* (sqrt u1) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1)))) (sqrt u1) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (* (sqrt (/ 1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (* (* (sqrt u1) 314159265359/50000000000) u2) (* (sqrt u1) 314159265359/50000000000) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (* (sqrt (/ u1 (- 1 u1))) (- (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) -314159265359/50000000000)) u2) (* (sqrt (/ u1 (- 1 u1))) (- (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) -314159265359/50000000000)) (sqrt (/ u1 (- 1 u1))) (* (sqrt u1) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1)))) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (sin (* 314159265359/50000000000 u2)) (* (sqrt (* (neg (/ u1 (* (- u1 1) (- 1 u1)))) (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (* (neg (/ u1 (* (- u1 1) (- 1 u1)))) (- 1 u1))) (* (neg (/ u1 (* (- u1 1) (- 1 u1)))) (- 1 u1)) (neg (/ u1 (* (- u1 1) (- 1 u1)))) (* 314159265359/50000000000 u2) (/ 1 (- 1 u1)) (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) (* (- (/ (- (/ 1 u1) 2) (neg u1)) 1) (* u1 u1)) (/ (- (/ 1 u1) 2) (neg u1)))

simplify240.0ms (2.9%)

Memory

29.8MiB live, 287.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	608	3453
1	2246	3072
0	9283	2869

Stop Event

1×	iter limit
1×	node limit

Counts

148 → 147

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)
(sin (* 314159265359/50000000000 u2))
(+ (sin (* 314159265359/50000000000 u2)) (* 1/2 (* u1 (sin (* 314159265359/50000000000 u2)))))
(+ (sin (* 314159265359/50000000000 u2)) (* u1 (+ (* 3/8 (* u1 (sin (* 314159265359/50000000000 u2)))) (* 1/2 (sin (* 314159265359/50000000000 u2))))))
(+ (sin (* 314159265359/50000000000 u2)) (* u1 (+ (* 1/2 (sin (* 314159265359/50000000000 u2))) (* u1 (+ (* 5/16 (* u1 (sin (* 314159265359/50000000000 u2)))) (* 3/8 (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)))))))
(* 314159265359/50000000000 (sqrt u1))
(* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))
(+ (* 1/2 (* (sqrt (pow u1 3)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))) (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))
(+ (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))) (* 1/2 (* (sqrt (/ 1 u1)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))))))
(+ (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* u2 (* (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))) (- 1 (* 1/4 (/ 1 u1))))))) (* 1/2 (* (sqrt (/ 1 u1)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))))))))
(* (sqrt u1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(+ (* 1/2 (* (sqrt (pow u1 3)) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* (sqrt u1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))
(+ (* (sqrt u1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* 1/2 (* (sqrt (/ 1 u1)) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))))
(+ (* (sqrt u1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))))))
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(* (sqrt u1) (* (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))))))))))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(* u1 (+ 1 (* 2 u1)))
(* u1 (+ 1 (* u1 (+ 2 (* 3 u1)))))
(* u1 (+ 1 (* u1 (+ 2 (* u1 (+ 3 (* 4 u1)))))))
1
(+ 1 u1)
(+ 1 (* u1 (+ 1 u1)))
(+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))
-1
(- (* 2 u1) 1)
(- (* u1 (+ 2 (* -1 u1))) 1)
(/ -1 (pow u1 2))
(/ (- (* 2 u1) 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)))
(+ (* -1/2 (/ (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 u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 7))) (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ u1 (pow (sqrt -1) 2))))) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (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))))))
(* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))
(+ (* -1/2 (/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (* u1 (sqrt -1)))) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))
(+ (* -1/2 (/ (* u2 (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (* u1 (sqrt -1)))) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))))
(+ (* -1/2 (/ (* u2 (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* u2 (* (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* (pow u1 3) (sqrt -1)))) (+ (* -1/2 (/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (* u1 (sqrt -1)))) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))))
(* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(+ (* -1/2 (/ (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))) (* u1 (sqrt -1)))) (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))
(+ (* -1/2 (/ (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))) (* u1 (sqrt -1)))) (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))
(+ (* -1/2 (/ (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (* (pow u1 3) (sqrt -1)))) (+ (* -1/2 (/ (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))) (* u1 (sqrt -1)))) (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))))
(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))))
(+ (* 1/2 (/ (* (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) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1))))
(+ (sqrt -1) (+ (* 5/16 (/ (sqrt -1) (pow u1 3))) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1)))))
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(/ 1 u1)
(/ (+ 1 (* 2 (/ 1 u1))) u1)
(/ (+ 1 (+ (* 2 (/ 1 u1)) (/ 3 (pow u1 2)))) u1)
(/ (+ 1 (+ (* 2 (/ 1 u1)) (+ (* 4 (/ 1 (pow u1 3))) (/ 3 (pow u1 2))))) u1)
(/ -1 u1)
(* -1 (/ (+ 1 (/ 1 u1)) u1))
(/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1)
(/ (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) u1)
(* -1 (pow u1 2))
(* (pow u1 2) (- (* 2 (/ 1 u1)) 1))
(* (pow u1 2) (- (* 2 (/ 1 u1)) (+ 1 (/ 1 (pow u1 2)))))
(/ 2 u1)
(/ (- 2 (/ 1 u1)) u1)
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (* (sqrt -1) (+ 1 (* -1/4 u1))))))) (pow u1 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(+ (* 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))))
(* -314159265359/50000000000 (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* 1/2 (/ (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) u1)) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))
(+ (* -1 (/ (+ (* -1/2 (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))) (* -3/8 (/ (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) u1))) u1)) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) u1)) (* 3/8 (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))) u1)) (* -1/2 (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))) u1)) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))
(+ (* 1/2 (/ (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) u1)) (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* -3/8 (/ (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) u1))) u1)) (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) u1)) (* 3/8 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))) u1)) (* -1/2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))) u1)) (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))
(+ (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 (/ (- (* -1 (/ (+ 2 (* 3 (/ 1 u1))) u1)) 1) u1))
(* -1 (/ (- (* -1 (/ (+ 2 (+ (* 3 (/ 1 u1)) (/ 4 (pow u1 2)))) u1)) 1) u1))
(* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1))) u1))
(* (pow u1 2) (- (* -1 (/ (- (/ 1 u1) 2) u1)) 1))
(* -1 (/ (- (/ 1 u1) 2) 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 (/ 1 (- 1 u1)))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))) (* 314159265359/50000000000 (sqrt (/ 1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1)))))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ 1 (- 1 u1))))))))))
(* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))))
(* 314159265359/50000000000 u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 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)))))))))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- 1 u1))))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 3)))
(* (pow u2 3) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))
(* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* -1 (* (pow u2 3) (+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))

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

rewrite233.0ms (2.8%)

Memory

-13.3MiB live, 316.3MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	56	367
0	89	367
1	221	364
2	1132	355
0	9022	355

Stop Event

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

Counts

24 → 408

Calls

Call 1

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

Outputs
(.f32 (.f32 #s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (pow.f32 u1 #s(literal 1/4 binary32))) (pow.f32 u1 #s(literal 1/4 binary32)))
(.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
(.f32 #s(approx (/ (sin ( u2 314159265359/50000000000)) (sqrt (- 1 u1))) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 u1))
(.f32 (sqrt.f32 u1) #s(approx (/ (sin ( u2 314159265359/50000000000)) (sqrt (- 1 u1))) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (neg.f32 (pow.f32 u1 #s(literal 1/4 binary32))) (neg.f32 (pow.f32 u1 #s(literal 1/4 binary32))))
(*.f32 (fabs.f32 (pow.f32 u1 #s(literal 1/4 binary32))) (fabs.f32 (pow.f32 u1 #s(literal 1/4 binary32))))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) (sqrt.f32 u1))
(*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32)))
(*.f32 #s(literal 1 binary32) (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(sqrt.f32 u1)
(pow.f32 (exp.f32 (log.f32 u1)) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(pow.f32 u1 #s(literal 1/2 binary32))
(+.f32 (cosh.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) (sinh.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (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 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 #s(literal 1 binary32) (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 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (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)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (.f32 #s(literal -1 binary32) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal -1 binary32)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(neg.f32 (/.f32 (sin.f32 (*.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))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (.f32 (.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (.f32 (.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2))
(.f32 (.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (pow.f32 u1 #s(literal 1/4 binary32))) (pow.f32 u1 #s(literal 1/4 binary32)))
(.f32 (.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/50000000000 binary32))
(.f32 (.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))
(.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2)
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (sqrt.f32 u1)))
(.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (sqrt.f32 u1) u2))
(.f32 u2 (.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)))
(.f32 (sqrt.f32 u1) (.f32 #s(literal 314159265359/50000000000 binary32) u2))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u1 #s(literal 1/4 binary32))) (pow.f32 u1 #s(literal 1/4 binary32)))
(.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (-.f32 (.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -314159265359/50000000000 binary32)) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(.f32 (.f32 (.f32 (-.f32 (.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -314159265359/50000000000 binary32)) u2) (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 (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (.f32 (-.f32 (.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -314159265359/50000000000 binary32)) u2) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
(.f32 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (-.f32 (.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -314159265359/50000000000 binary32)))
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) (-.f32 (.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -314159265359/50000000000 binary32)))
(.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (.f32 (-.f32 (.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -314159265359/50000000000 binary32)) u2)))
(.f32 (.f32 (-.f32 (.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -314159265359/50000000000 binary32)) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (.f32 (-.f32 (.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) u2)
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(/.f32 (.f32 #s(literal 1 binary32) (-.f32 (neg.f32 (pow.f32 u1 #s(literal -6 binary32))) (/.f32 #s(literal -8 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (+.f32 (pow.f32 u1 #s(literal -4 binary32)) (.f32 (/.f32 #s(literal -2 binary32) u1) (+.f32 (/.f32 #s(literal -2 binary32) u1) (neg.f32 (pow.f32 u1 #s(literal -2 binary32)))))))
(/.f32 (.f32 #s(literal 1 binary32) (+.f32 (/.f32 (neg.f32 u1) u1) (.f32 u1 #s(literal 2 binary32)))) (*.f32 u1 u1))
(/.f32 (.f32 #s(literal 1 binary32) (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 4 binary32))) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) u1)) (neg.f32 u1)))
(/.f32 (.f32 #s(literal 1 binary32) (-.f32 (pow.f32 u1 #s(literal -3 binary32)) #s(literal 8 binary32))) (.f32 (-.f32 (+.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 4 binary32)) (/.f32 #s(literal -2 binary32) u1)) (neg.f32 u1)))
(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32))) (neg.f32 u1))
(/.f32 (*.f32 #s(literal 1 binary32) (neg.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)))) u1)
(/.f32 (neg.f32 (-.f32 (pow.f32 u1 #s(literal -4 binary32)) (*.f32 #s(literal 4 binary32) (pow.f32 u1 #s(literal -2 binary32))))) (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal -2 binary32)) u1)))
(/.f32 (neg.f32 (-.f32 (neg.f32 (pow.f32 u1 #s(literal -6 binary32))) (/.f32 #s(literal -8 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (neg.f32 (+.f32 (pow.f32 u1 #s(literal -4 binary32)) (*.f32 (/.f32 #s(literal -2 binary32) u1) (+.f32 (/.f32 #s(literal -2 binary32) u1) (neg.f32 (pow.f32 u1 #s(literal -2 binary32))))))))
(/.f32 (neg.f32 (+.f32 (/.f32 (neg.f32 u1) u1) (.f32 u1 #s(literal 2 binary32)))) (.f32 (neg.f32 u1) u1))
(/.f32 (-.f32 (.f32 (/.f32 #s(literal -1 binary32) u1) u1) (.f32 u1 #s(literal -2 binary32))) (*.f32 u1 u1))
(/.f32 (-.f32 (.f32 (/.f32 #s(literal -1 binary32) u1) (neg.f32 u1)) (.f32 u1 #s(literal 2 binary32))) (*.f32 (neg.f32 u1) u1))
(/.f32 (-.f32 (neg.f32 u1) (.f32 (.f32 u1 u1) #s(literal -2 binary32))) (pow.f32 u1 #s(literal 3 binary32)))
(/.f32 (-.f32 (.f32 #s(literal -1 binary32) (neg.f32 u1)) (.f32 (*.f32 u1 u1) #s(literal 2 binary32))) (pow.f32 (neg.f32 u1) #s(literal 3 binary32)))
(/.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) u1) u1) (.f32 (neg.f32 u1) #s(literal -2 binary32))) (*.f32 (neg.f32 u1) u1))
(/.f32 (-.f32 u1 (.f32 (.f32 (neg.f32 u1) u1) #s(literal -2 binary32))) (.f32 (.f32 (neg.f32 u1) u1) u1))
(/.f32 (-.f32 (neg.f32 u1) (.f32 (.f32 (neg.f32 u1) u1) #s(literal 2 binary32))) (pow.f32 u1 #s(literal 3 binary32)))
(/.f32 (-.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal -2 binary32)) u1)
(/.f32 (-.f32 (pow.f32 u1 #s(literal -4 binary32)) (*.f32 #s(literal 4 binary32) (pow.f32 u1 #s(literal -2 binary32)))) (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal -2 binary32)) u1))
(/.f32 (-.f32 (neg.f32 (pow.f32 u1 #s(literal -6 binary32))) (/.f32 #s(literal -8 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (+.f32 (pow.f32 u1 #s(literal -4 binary32)) (*.f32 (/.f32 #s(literal -2 binary32) u1) (+.f32 (/.f32 #s(literal -2 binary32) u1) (neg.f32 (pow.f32 u1 #s(literal -2 binary32)))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 4 binary32))) (*.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) u1)) u1))
(/.f32 (neg.f32 (-.f32 (pow.f32 u1 #s(literal -3 binary32)) #s(literal 8 binary32))) (*.f32 (-.f32 (+.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 4 binary32)) (/.f32 #s(literal -2 binary32) u1)) u1))
(/.f32 (+.f32 (/.f32 (neg.f32 u1) u1) (.f32 u1 #s(literal 2 binary32))) (.f32 u1 u1))
(/.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 4 binary32)) (*.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) u1)) (neg.f32 u1)))
(/.f32 (-.f32 (pow.f32 u1 #s(literal -3 binary32)) #s(literal 8 binary32)) (*.f32 (-.f32 (+.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 4 binary32)) (/.f32 #s(literal -2 binary32) u1)) (neg.f32 u1)))
(/.f32 (neg.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32))) u1)
(/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (neg.f32 u1))
(-.f32 (/.f32 (pow.f32 u1 #s(literal -4 binary32)) (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal -2 binary32)) u1)) (/.f32 (*.f32 #s(literal 4 binary32) (pow.f32 u1 #s(literal -2 binary32))) (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal -2 binary32)) u1)))
(-.f32 (/.f32 (neg.f32 (pow.f32 u1 #s(literal -6 binary32))) (+.f32 (pow.f32 u1 #s(literal -4 binary32)) (.f32 (/.f32 #s(literal -2 binary32) u1) (+.f32 (/.f32 #s(literal -2 binary32) u1) (neg.f32 (pow.f32 u1 #s(literal -2 binary32))))))) (/.f32 (/.f32 #s(literal -8 binary32) (pow.f32 u1 #s(literal 3 binary32))) (+.f32 (pow.f32 u1 #s(literal -4 binary32)) (.f32 (/.f32 #s(literal -2 binary32) u1) (+.f32 (/.f32 #s(literal -2 binary32) u1) (neg.f32 (pow.f32 u1 #s(literal -2 binary32))))))))
(-.f32 (/.f32 (/.f32 (neg.f32 u1) u1) (.f32 u1 u1)) (/.f32 (.f32 (neg.f32 u1) #s(literal 2 binary32)) (*.f32 u1 u1)))
(-.f32 (/.f32 (pow.f32 u1 #s(literal -2 binary32)) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))) (/.f32 #s(literal 4 binary32) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))))
(-.f32 (/.f32 (pow.f32 u1 #s(literal -3 binary32)) (.f32 (-.f32 (+.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 4 binary32)) (/.f32 #s(literal -2 binary32) u1)) (neg.f32 u1))) (/.f32 #s(literal 8 binary32) (.f32 (-.f32 (+.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 4 binary32)) (/.f32 #s(literal -2 binary32) u1)) (neg.f32 u1))))
(-.f32 (/.f32 (/.f32 (pow.f32 u1 #s(literal -2 binary32)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) u1))) (neg.f32 u1)) (/.f32 (/.f32 #s(literal -4 binary32) (+.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal -2 binary32))) (neg.f32 u1)))
(-.f32 (/.f32 (/.f32 (pow.f32 u1 #s(literal -3 binary32)) (-.f32 (+.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 4 binary32)) (/.f32 #s(literal -2 binary32) u1))) (neg.f32 u1)) (/.f32 (/.f32 #s(literal 8 binary32) (-.f32 (+.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 4 binary32)) (/.f32 #s(literal -2 binary32) u1))) (neg.f32 u1)))
(-.f32 (neg.f32 (pow.f32 u1 #s(literal -2 binary32))) (/.f32 #s(literal -2 binary32) u1))
(neg.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) u1))

eval80.0ms (1%)

Memory: -12.6MiB live, 217.9MiB allocated
Compiler: Compiled 22 907 to 3 130 computations (86.3% saved)

prune70.0ms (0.8%)

Memory

2.8MiB live, 209.0MiB allocated

Pruning

51 alts after pruning (42 fresh and 9 done)

	Pruned	Kept	Total
New	594	22	616
Fresh	7	20	27
Picked	2	3	5
Done	0	6	6
Total	603	51	654

Accuracy

100.0%

Counts

654 → 51

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.1%	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	97.9%	(.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) (/.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	83.4%	(.f32 (/.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	97.8%	(.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (neg.f32 u1) #s(approx ( (- u1 1) (- 1 u1)) (.f32 (.f32 u1 u1) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal -2 binary32)) u1) #s(literal 1 binary32))))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	98.0%	(.f32 (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (neg.f32 u1)) (.f32 (+.f32 #s(literal 1 binary32) u1) #s(approx (* (- u1 1) (- 1 u1)) (.f32 (.f32 u1 u1) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal -2 binary32)) u1) #s(literal 1 binary32))))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.0%	(.f32 (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (neg.f32 u1)) #s(approx (* (- u1 1) (- 1 u1)) (.f32 (.f32 u1 u1) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal -2 binary32)) u1) #s(literal 1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	98.4%	(.f32 (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal -1 binary32) u1) u1) (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.1%	(.f32 (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal -1 binary32) u1) u1) #s(approx (+ -1 (* u1 u1)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) u1) u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	97.9%	(.f32 (sqrt.f32 (/.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.3%	(.f32 (sqrt.f32 (/.f32 #s(approx ( (- -1 u1) u1) (.f32 (.f32 (neg.f32 u1) u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	98.4%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.1%	(.f32 (sqrt.f32 (.f32 (neg.f32 (/.f32 u1 #s(approx (* (- u1 1) (- 1 u1)) (/.f32 (.f32 u1 (.f32 (-.f32 (pow.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) u1) #s(literal 2 binary32)) #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) u1)))))) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	87.8%	(.f32 (sqrt.f32 (.f32 (neg.f32 (/.f32 u1 #s(approx (* (- u1 1) (- 1 u1)) (-.f32 (.f32 #s(literal 2 binary32) u1) #s(literal 1 binary32))))) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.1%	(.f32 (sqrt.f32 (.f32 (neg.f32 (/.f32 u1 #s(approx (* (- u1 1) (- 1 u1)) (.f32 (-.f32 (.f32 (/.f32 (neg.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) u1)) #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 (neg.f32 (/.f32 u1 #s(approx (* (- u1 1) (- 1 u1)) (.f32 (.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal -2 binary32)) u1) #s(literal 1 binary32)) u1) u1)))) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.3%	(.f32 (sqrt.f32 (.f32 u1 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	98.2%	(.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	83.0%	(.f32 (sqrt.f32 u1) (/.f32 #s(approx (sin ( u2 314159265359/50000000000)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	83.1%	(.f32 (sqrt.f32 u1) #s(approx (/ (sin ( u2 314159265359/50000000000)) (sqrt (- 1 u1))) (.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
	98.5%	(.f32 (sqrt.f32 u1) #s(approx (/ (sin ( u2 314159265359/50000000000)) (sqrt (- 1 u1))) (.f32 (sqrt.f32 (/.f32 (.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
✓	98.4%	(.f32 (sqrt.f32 u1) #s(approx (/ (sin ( u2 314159265359/50000000000)) (sqrt (- 1 u1))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
	19.4%	(.f32 (sqrt.f32 u1) #s(approx (/ (sin ( u2 314159265359/50000000000)) (sqrt (- 1 u1))) (sin.f32 (+.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (PI.f32)) (PI.f32)))))
✓	78.7%	(.f32 (sqrt.f32 u1) #s(approx (/ (sin ( u2 314159265359/50000000000)) (sqrt (- 1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
	4.3%	(.f32 (sqrt.f32 u1) #s(approx (/ (sin ( u2 314159265359/50000000000)) (sqrt (- 1 u1))) (cos.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))))
	69.4%	(.f32 (sqrt.f32 u1) #s(approx (/ (sin ( u2 314159265359/50000000000)) (sqrt (- 1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
	96.1%	(.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	77.0%	(.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) #s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
	89.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (.f32 (.f32 (-.f32 (.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -314159265359/50000000000 binary32)) (sqrt.f32 u1)) u2) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	89.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (.f32 (.f32 (-.f32 (.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -314159265359/50000000000 binary32)) u2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	82.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	90.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (+.f32 (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2))) u2) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32))))
	89.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (-.f32 (.f32 (.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (pow.f32 u2 #s(literal 4 binary32))) (.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (-.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 314159265359/50000000000 binary32)))) u2))
	89.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (-.f32 (.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 u1)) (*.f32 #s(literal -314159265359/50000000000 binary32) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) u2))
	9.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (-.f32 (.f32 (pow.f32 u2 #s(literal 4 binary32)) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/2500000000000000000000 binary32)))) (fma.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))) u2))
	82.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (.f32 (sqrt.f32 u1) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) u2))
	90.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (-.f32 (.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -314159265359/50000000000 binary32)) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2)))
	89.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (-.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)) #s(literal -314159265359/50000000000 binary32))) u2))
	89.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (-.f32 (.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -314159265359/50000000000 binary32)) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	89.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) (-.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)) #s(literal -314159265359/50000000000 binary32))) u2))
	83.1%	#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))
	89.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (-.f32 (.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2) #s(literal -314159265359/50000000000 binary32))) u2))
	73.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (.f32 (.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))) (-.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)) #s(literal -314159265359/50000000000 binary32))) u2))
	83.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
✓	83.1%	#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)))
	5.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (+ ( (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))) (.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 u2)) #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 u2 u2))) u2))
	5.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (+ ( (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))) (.f32 (.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2))
	83.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (+ ( (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2))
	69.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (.f32 (.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal 314159265359/50000000000 binary32)) u2)))
	69.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (.f32 (.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) #s(literal 314159265359/50000000000 binary32)) u2)))
✓	69.4%	#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))))
✓	69.4%	#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)))

Compiler

Compiled 3 649 to 1 557 computations (57.3% saved)

regimes212.0ms (2.6%)

Memory

5.5MiB live, 477.6MiB allocated

Counts

84 → 1

Calls

Call 1

Inputs
#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)))
(.f32 (sqrt.f32 u1) #s(approx (/ (sin ( u2 314159265359/50000000000)) (sqrt (- 1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (+ ( (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) 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 #s(approx (+ ( (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))) (.f32 (.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (sqrt.f32 u1) (/.f32 #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 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 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))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #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))) (-.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)) #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))) (-.f32 (.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2) #s(literal -314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (-.f32 (.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -314159265359/50000000000 binary32)) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (-.f32 (.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -314159265359/50000000000 binary32)) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) (neg.f32 (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(.f32 (sqrt.f32 u1) #s(approx (/ (sin ( u2 314159265359/50000000000)) (sqrt (- 1 u1))) (.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (.f32 (sqrt.f32 u1) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (-.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)) #s(literal -314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (.f32 (.f32 (-.f32 (.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -314159265359/50000000000 binary32)) u2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (.f32 (.f32 (-.f32 (.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -314159265359/50000000000 binary32)) (sqrt.f32 u1)) u2) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (sqrt.f32 u1) #s(approx (/ (sin ( u2 314159265359/50000000000)) (sqrt (- 1 u1))) (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) (-.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)) #s(literal -314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (-.f32 (.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 u1)) (*.f32 #s(literal -314159265359/50000000000 binary32) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (-.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2))) (*.f32 #s(literal -314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2))
(.f32 (sqrt.f32 u1) (/.f32 #s(approx (sin ( u2 314159265359/50000000000)) (.f32 (fma.f32 (-.f32 (.f32 (.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) 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 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (+.f32 (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2))) 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 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (.f32 (.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))) (-.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)) #s(literal -314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (+ ( (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))) (.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 u2)) #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 u2 u2))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (.f32 (.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) #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 (sqrt.f32 u1) #s(approx (/ (sin ( u2 314159265359/50000000000)) (sqrt (- 1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(.f32 (sqrt.f32 u1) #s(approx (/ (sin ( u2 314159265359/50000000000)) (sqrt (- 1 u1))) (sin.f32 (+.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (PI.f32)) (PI.f32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (-.f32 (.f32 (.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -314159265359/50000000000 binary32) (sqrt.f32 u1)))) (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) u2))
(.f32 (sqrt.f32 #s(approx ( (neg (/ u1 (+ -1 (* u1 u1)))) (- 1 u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 u1) #s(approx (/ (sin ( u2 314159265359/50000000000)) (sqrt (- 1 u1))) (cos.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 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 u1) (/.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))))
(.f32 (sqrt.f32 (.f32 u1 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 u1) (/.f32 (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 #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 (/.f32 (.f32 (-.f32 #s(literal -1 binary32) u1) u1) (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 u1) #s(approx (/ (sin ( u2 314159265359/50000000000)) (sqrt (- 1 u1))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(.f32 (sqrt.f32 (.f32 (neg.f32 (/.f32 u1 #s(approx (* (- u1 1) (- 1 u1)) (-.f32 (.f32 #s(literal 2 binary32) u1) #s(literal 1 binary32))))) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (.f32 (neg.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)))
(.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (.f32 (neg.f32 (/.f32 u1 (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (-.f32 #s(literal -1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 u1) #s(approx (/ (sin ( u2 314159265359/50000000000)) (sqrt (- 1 u1))) (.f32 (sqrt.f32 (/.f32 (.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(.f32 (sqrt.f32 (/.f32 #s(approx ( (- -1 u1) u1) (.f32 (.f32 (neg.f32 u1) u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (/.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (-.f32 (.f32 (pow.f32 u2 #s(literal 4 binary32)) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/2500000000000000000000 binary32)))) (fma.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))) u2))
(.f32 (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal -1 binary32) u1) u1) #s(approx (+ -1 (* u1 u1)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) u1) u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (.f32 (neg.f32 (/.f32 u1 #s(approx (+ -1 (* u1 u1)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) u1) u1)))) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (.f32 (neg.f32 (/.f32 u1 #s(approx (* (- u1 1) (- 1 u1)) (.f32 (.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal -2 binary32)) u1) #s(literal 1 binary32)) u1) u1)))) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (neg.f32 u1)) #s(approx (* (- u1 1) (- 1 u1)) (.f32 (.f32 u1 u1) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal -2 binary32)) u1) #s(literal 1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (.f32 (neg.f32 (/.f32 u1 #s(approx (* (- u1 1) (- 1 u1)) (.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (neg.f32 u1)) #s(literal 1 binary32)) (.f32 u1 u1))))) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (neg.f32 u1) #s(approx ( (- u1 1) (- 1 u1)) (.f32 (.f32 u1 u1) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal -2 binary32)) u1) #s(literal 1 binary32))))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(.f32 (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (neg.f32 u1)) (.f32 (+.f32 #s(literal 1 binary32) u1) #s(approx (* (- u1 1) (- 1 u1)) (.f32 (.f32 u1 u1) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal -2 binary32)) u1) #s(literal 1 binary32))))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (.f32 (neg.f32 (/.f32 u1 #s(approx (* (- u1 1) (- 1 u1)) (.f32 (-.f32 (.f32 (/.f32 (neg.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)) (.f32 u1 u1))))) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (-.f32 (.f32 (.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (pow.f32 u2 #s(literal 4 binary32))) (.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (-.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 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 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal 314159265359/50000000000 binary32)) u2)))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (/.f32 (.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2) (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 (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) u1) (.f32 (+.f32 #s(literal 1 binary32) u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (pow.f32 #s(approx (pow (/ u1 (- 1 u1)) 1/4) (pow.f32 u1 #s(literal 1/4 binary32))) #s(literal 2 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) #s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(.f32 (sqrt.f32 (.f32 (neg.f32 (/.f32 u1 #s(approx (* (- u1 1) (- 1 u1)) (/.f32 (.f32 u1 (.f32 (-.f32 (pow.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) u1) #s(literal 2 binary32)) #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) u1)))))) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) (/.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(.f32 (/.f32 (.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sin.f32 (acos.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(.f32 (sqrt.f32 u1) (/.f32 (/.f32 (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 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
(.f32 (.f32 (/.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))

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

Calls

8 calls:

27.0ms	u1
26.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
26.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
25.0ms	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
22.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Results

Accuracy	Segments	Branch
98.5%	1	`cosTheta_i`
98.5%	1	`u1`
98.5%	1	`u2`
98.5%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
98.5%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
98.5%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
98.5%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
98.5%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes144.0ms (1.7%)

Memory

-13.0MiB live, 235.5MiB allocated

Counts

50 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

42.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
16.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
15.0ms	u1
14.0ms	u2
13.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))

Results

Accuracy	Segments	Branch
98.5%	1	`cosTheta_i`
98.5%	1	`u2`
98.5%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
98.5%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
98.5%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
98.5%	1	`u1`
98.5%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
98.5%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes112.0ms (1.3%)

Memory

10.2MiB live, 212.9MiB allocated

Counts

49 → 1

Calls

Call 1

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

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

Calls

8 calls:

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

Results

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

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes138.0ms (1.7%)

Memory

14.1MiB live, 207.7MiB allocated

Counts

44 → 1

Calls

Call 1

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

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

Calls

8 calls:

35.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
23.0ms	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
15.0ms	u2
14.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
14.0ms	cosTheta_i

Results

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

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes148.0ms (1.8%)

Memory

1.0MiB live, 167.6MiB allocated

Counts

37 → 2

Calls

Call 1

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

Outputs

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

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

Calls

8 calls:

52.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
26.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
15.0ms	u2
14.0ms	u1
10.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
90.0%	1	`cosTheta_i`
93.5%	2	`u1`
94.2%	2	`u2`
90.0%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
93.5%	2	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
93.5%	2	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
94.0%	2	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
94.2%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes81.0ms (1%)

Memory

-9.5MiB live, 148.1MiB allocated

Counts

31 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

14.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
12.0ms	u1
11.0ms	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
10.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
9.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
90.0%	1	`cosTheta_i`
90.0%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
90.0%	1	`u1`
90.0%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
90.0%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
90.0%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
90.0%	1	`u2`
90.0%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes39.0ms (0.5%)

Memory

11.1MiB live, 88.0MiB allocated

Counts

14 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

6.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
5.0ms	u1
5.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
4.0ms	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
4.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
89.9%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
89.9%	1	`cosTheta_i`
89.9%	1	`u1`
89.9%	1	`u2`
89.9%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
89.9%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
89.9%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
89.9%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes39.0ms (0.5%)

Memory

0.0MiB live, 81.4MiB allocated

Counts

13 → 1

Calls

Call 1

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

Calls

8 calls:

7.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
5.0ms	u1
4.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
4.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
4.0ms	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))

Results

Accuracy	Segments	Branch
89.9%	1	`cosTheta_i`
89.9%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
89.9%	1	`u1`
89.9%	1	`u2`
89.9%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
89.9%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
89.9%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
89.9%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes35.0ms (0.4%)

Memory

13.5MiB live, 90.4MiB allocated

Counts

12 → 1

Calls

Call 1

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

Calls

8 calls:

5.0ms	cosTheta_i
5.0ms	u2
4.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
4.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
4.0ms	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))

Results

Accuracy	Segments	Branch
89.9%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
89.9%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
89.9%	1	`cosTheta_i`
89.9%	1	`u1`
89.9%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
89.9%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
89.9%	1	`u2`
89.9%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes35.0ms (0.4%)

Memory

-29.0MiB live, 90.4MiB allocated

Counts

11 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

6.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
5.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
5.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
4.0ms	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
4.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))

Results

Accuracy	Segments	Branch
83.1%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
83.1%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
83.1%	1	`cosTheta_i`
83.1%	1	`u1`
83.1%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
83.1%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
83.1%	1	`u2`
83.1%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes27.0ms (0.3%)

Memory

14.4MiB live, 53.9MiB allocated

Counts

9 → 1

Calls

Call 1

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

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:

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

Results

Accuracy	Segments	Branch
83.1%	1	`cosTheta_i`
83.1%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
83.1%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
83.1%	1	`u2`
83.1%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
83.1%	1	`u1`
83.1%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
83.1%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes25.0ms (0.3%)

Memory

-22.8MiB live, 22.2MiB allocated

Counts

5 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

9.0ms	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
2.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
2.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
2.0ms	cosTheta_i
2.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
83.1%	1	`cosTheta_i`
83.1%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
83.1%	1	`u2`
83.1%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
83.1%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
83.1%	1	`u1`
83.1%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
83.1%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes16.0ms (0.2%)

Memory

26.1MiB live, 26.1MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
69.4%	1	`cosTheta_i`
69.4%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
69.4%	1	`u2`
69.4%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
69.4%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
69.4%	1	`u1`
69.4%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
69.4%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes12.0ms (0.2%)

Memory

-22.1MiB live, 16.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs

#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:

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

Results

Accuracy	Segments	Branch
69.4%	1	`cosTheta_i`
69.4%	1	`u1`
69.4%	1	`u2`
69.4%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
69.4%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
69.4%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
69.4%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
69.4%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.19606143236160278	0.2257692515850067

Compiler

Compiled 14 to 17 computations (-21.4% saved)

simplify90.0ms (1.1%)

Memory

12.0MiB live, 49.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	87	369
1	128	369
2	216	369
3	442	368
4	767	368
5	964	368
6	1063	368
7	1176	368
8	1328	368
9	1592	368
10	2478	368
11	7274	368

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (-.f32 #s(literal -1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (.f32 (neg.f32 (/.f32 u1 (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal -1 binary32) u1) u1) (+.f32 #s(literal -1 binary32) (.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 #s(literal 314159265359/50000000000 binary32) u2)))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 13421773/67108864 binary32)) #s(approx ( (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (-.f32 (.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -314159265359/50000000000 binary32)) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2))) (.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 (.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -314159265359/50000000000 binary32)) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (-.f32 (.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -314159265359/50000000000 binary32)) u2) (sqrt.f32 (/.f32 u1 (-.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))) (-.f32 (.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2) #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))) (-.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)) #s(literal -314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
#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 #s(approx (+ ( (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) 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)))

Outputs
(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (-.f32 #s(literal -1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (.f32 (neg.f32 (/.f32 u1 (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (.f32 (-.f32 u1 #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) u1))) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal -1 binary32) u1) u1) (+.f32 #s(literal -1 binary32) (.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 #s(literal 314159265359/50000000000 binary32) u2)))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 13421773/67108864 binary32)) #s(approx ( (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (-.f32 (.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -314159265359/50000000000 binary32)) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2))) (.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 (.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -314159265359/50000000000 binary32)) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (-.f32 (.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -314159265359/50000000000 binary32)) u2) (sqrt.f32 (/.f32 u1 (-.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))) (-.f32 (.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2) #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))) (-.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)) #s(literal -314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
#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 #s(approx (+ ( (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) 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)))

soundness1.3s (15.4%)

Memory

38.1MiB live, 938.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	667	3544
1	2388	3050
0	8722	2891
0	202	825
1	707	735
2	2810	641
0	8637	610
0	818	4529
1	2998	3865
0	9176	3616
0	10	32
0	16	32
1	42	32
2	172	32
3	1195	32
0	9407	32
0	56	367
0	89	367
1	221	364
2	1132	355
0	9022	355
0	53	361
0	91	343
1	267	339
2	1725	307
0	8478	302
0	41	211
0	68	231
1	171	171
2	846	159
0	9269	158

Stop Event

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

Compiler

Compiled 855 to 496 computations (42% saved)

preprocess126.0ms (1.5%)

Memory

9.2MiB live, 125.5MiB allocated

Remove

(negabs u2)

(abs cosTheta_i)

Compiler

Compiled 976 to 372 computations (61.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze272.0ms (3.3%)

sample1.9s (22.7%)

explain111.0ms (1.3%)

preprocess61.0ms (0.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0%)

localize31.0ms (0.4%)

series8.0ms (0.1%)

simplify151.0ms (1.8%)

rewrite147.0ms (1.8%)

eval55.0ms (0.7%)

prune22.0ms (0.3%)

simplify94.0ms (1.1%)

localize112.0ms (1.3%)

series37.0ms (0.4%)

simplify212.0ms (2.6%)

rewrite137.0ms (1.6%)

eval121.0ms (1.5%)

prune87.0ms (1.1%)

simplify157.0ms (1.9%)

localize126.0ms (1.5%)

series61.0ms (0.7%)

simplify295.0ms (3.6%)

rewrite222.0ms (2.7%)

eval184.0ms (2.2%)

prune122.0ms (1.5%)

simplify164.0ms (2%)

localize197.0ms (2.4%)

series38.0ms (0.5%)

simplify240.0ms (2.9%)

rewrite233.0ms (2.8%)

eval80.0ms (1%)

prune70.0ms (0.8%)

regimes212.0ms (2.6%)

regimes144.0ms (1.7%)

regimes112.0ms (1.3%)

regimes138.0ms (1.7%)

regimes148.0ms (1.8%)

regimes81.0ms (1%)

regimes39.0ms (0.5%)

regimes39.0ms (0.5%)

regimes35.0ms (0.4%)

regimes35.0ms (0.4%)

regimes27.0ms (0.3%)

regimes25.0ms (0.3%)

regimes16.0ms (0.2%)

regimes12.0ms (0.2%)

bsearch1.0ms (0%)

simplify90.0ms (1.1%)

soundness1.3s (15.4%)

preprocess126.0ms (1.5%)

end0.0ms (0%)

Profiling