Metrics for Trowbridge-Reitz Sample, near normal, slope

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze542.0ms (6.5%)

Memory

-168.3MiB live, 343.9MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
0%	0%	0%	100%	0%	0%	0%	1
0%	0%	0%	100%	0%	0%	0%	2
0%	0%	0%	100%	0%	0%	0%	3
0%	0%	0%	100%	0%	0%	0%	4
0%	0%	0%	100%	0%	0%	0%	5
18.7%	0%	0%	100%	0%	0%	0%	6
28.1%	0%	0%	100%	0%	0%	0%	7
32.8%	0%	0%	100%	0%	0%	0%	8
49.2%	0%	0%	100%	0%	0%	0%	9
57.4%	0%	0%	100%	0%	0%	0%	10
61.5%	0%	0%	100%	0%	0%	0%	11
71.8%	0%	0%	100%	0%	0%	0%	12

Compiler

Compiled 35 to 25 computations (28.6% saved)

sample2.0s (23.9%)

Memory

76.9MiB live, 2 146.1MiB allocated

Samples

1.5s	8 256×	0	valid
1.0ms	8×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

const: 531.0ms (43.9% of total)

ival-mult: 141.0ms (11.7% of total)

ival-<=: 119.0ms (9.8% of total)

ival-cos: 103.0ms (8.5% of total)

ival-sqrt: 89.0ms (7.4% of total)

ival-sub: 86.0ms (7.1% of total)

ival-div: 71.0ms (5.9% of total)

ival-and: 34.0ms (2.8% of total)

ival->: 25.0ms (2.1% of total)

exact: 6.0ms (0.5% of total)

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

Bogosity

explain200.0ms (2.4%)

Memory

-21.9MiB live, 180.8MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

78.0ms

512×

valid

Compiler

Compiled 159 to 75 computations (52.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-cos: 36.0ms (57.8% of total)

const: 8.0ms (12.8% of total)

ival-mult: 7.0ms (11.2% of total)

ival-div: 4.0ms (6.4% of total)

ival-sqrt: 4.0ms (6.4% of total)

ival-sub: 3.0ms (4.8% of total)

ival-true: 1.0ms (1.6% of total)

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

exact: 0.0ms (0% of total)

preprocess39.0ms (0.5%)

Memory

12.8MiB live, 47.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs u2)

(abs cosTheta_i)

Compiler

Compiled 11 to 11 computations (0% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Compiler

Compiled 11 to 11 computations (0% saved)

simplify5.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize50.0ms (0.6%)

Memory

-21.2MiB live, 55.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.09375	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
accuracy	0.109375	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.17578125	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.3125	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Samples

42.0ms

256×

valid

Compiler

Compiled 74 to 24 computations (67.6% saved)

Precisions

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

ival-sub: 20.0ms (60.5% of total)

ival-mult: 3.0ms (9.1% of total)

ival-cos: 3.0ms (9.1% of total)

const: 3.0ms (9.1% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

19.6MiB live, 19.6MiB allocated

Counts

5 → 42

Calls

Call 1

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

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

Calls

9 calls:

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

simplify208.0ms (2.5%)

Memory

-41.6MiB live, 247.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	180	750
1	523	661
2	1543	593
3	4794	545
0	8083	519

Stop Event

1×	iter limit
1×	node limit

Counts

42 → 41

Calls

Call 1

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

Outputs
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(.f32 (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (.f32 u1 u1)) #s(literal 1/2 binary32) (sqrt.f32 u1)))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(fma.f32 (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 #s(literal 1/2 binary32) (fma.f32 (+.f32 #s(literal 1 binary32) u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) u1) u1 u1) (sqrt.f32 u1))))) (.f32 u1 u1) (.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(fma.f32 (.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (.f32 u1 u1)) #s(literal 1/2 binary32) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(fma.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (+.f32 #s(literal 1 binary32) u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) u1) u1 u1) (sqrt.f32 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))))))
(*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1))
1
#s(literal 1 binary32)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(fma.f32 (/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (+.f32 (/.f32 #s(literal -3/8 binary32) u1) #s(literal -1/2 binary32)) (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(fma.f32 (/.f32 (/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (.f32 u1 u1)) (+.f32 (/.f32 #s(literal -5/16 binary32) u1) #s(literal -3/8 binary32)) (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(-.f32 (+.f32 (/.f32 #s(literal -3/8 binary32) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(fma.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 5/8 binary32) (pow.f32 u1 #s(literal 3 binary32))) (/.f32 #s(literal 3/4 binary32) (.f32 u1 u1))) (-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) u1))))
-1
#s(literal -1 binary32)
(* -1 (+ 1 (/ 1 u1)))
(-.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal 1 binary32))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(-.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) u1))
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) u1) u1)))
(* -1 u1)
(neg.f32 u1)
(* u1 (- (/ 1 u1) 1))
(-.f32 #s(literal 1 binary32) u1)
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) #s(literal 1 binary32)))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (+.f32 (/.f32 #s(literal -3/8 binary32) u1) #s(literal -1/2 binary32))) (neg.f32 u1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (+.f32 #s(literal 3/8 binary32) (/.f32 #s(literal 5/16 binary32) u1))) u1)) u1))
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal -3/8 binary32) u1) #s(literal -1/2 binary32))) u1))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(+.f32 (/.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal 3/8 binary32) (/.f32 #s(literal 5/16 binary32) u1))) u1)) u1) (sqrt.f32 #s(literal -1 binary32)))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(-.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) u1)) u1) #s(literal 1 binary32))
(* -1 (* u1 (- 1 (/ 1 u1))))
(-.f32 #s(literal 1 binary32) u1)
(sqrt (/ u1 (- 1 u1)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

rewrite147.0ms (1.8%)

Memory

-17.3MiB live, 211.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 520

Calls

Call 1

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

Outputs
(.f32 (/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(.f32 (/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (hypot.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) u1))
(.f32 (.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1/4 binary32))) (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1/4 binary32)))
(.f32 (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
(.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1/4 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1/4 binary32)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (sqrt.f32 u1) (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(.f32 (cos.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))) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/.f32 (neg.f32 (.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))) (neg.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (neg.f32 (.f32 (sqrt.f32 (neg.f32 u1)) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))) (neg.f32 (sqrt.f32 (-.f32 u1 #s(literal 1 binary32)))))
(/.f32 (neg.f32 (.f32 #s(literal 1 binary32) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))) (neg.f32 (sqrt.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))))
(/.f32 (neg.f32 (.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (neg.f32 (sqrt.f32 u1)))) (neg.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (neg.f32 (.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (neg.f32 u1)))) (neg.f32 (sqrt.f32 (-.f32 u1 #s(literal 1 binary32)))))
(/.f32 (neg.f32 (.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) #s(literal 1 binary32))) (neg.f32 (sqrt.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))))
(/.f32 (neg.f32 (neg.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))))) (neg.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (neg.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (neg.f32 (sqrt.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))))
(/.f32 (.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (.f32 (sqrt.f32 (neg.f32 u1)) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 u1 #s(literal 1 binary32))))
(/.f32 (.f32 #s(literal 1 binary32) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))
(/.f32 (.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (neg.f32 (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (neg.f32 u1))) (sqrt.f32 (-.f32 u1 #s(literal 1 binary32))))
(/.f32 (.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))
(/.f32 (neg.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))))))
(/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(pow.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))) #s(literal -1 binary32))
(.f32 (sqrt.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (sqrt.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(literal 1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
(*.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (pow.f32 (pow.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (pow.f32 (neg.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (pow.f32 (pow.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal -1/4 binary32)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32)))) #s(literal -1/2 binary32)) (pow.f32 (fma.f32 u1 u1 u1) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 (pow.f32 u1 #s(literal 6 binary32)) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/2 binary32)))
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(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (pow.f32 u1 #s(literal 3 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (/.f32 (/.f32 (pow.f32 u1 #s(literal 9 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (pow.f32 u1 #s(literal 3 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))
(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))) #s(literal -1 binary32)) (/.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) #s(literal -1 binary32)))
(-.f32 (/.f32 (/.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 (/.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1 binary32)) #s(literal 1 binary32)))
(-.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 (/.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) #s(literal 1 binary32)) #s(literal 1 binary32)))
(-.f32 (/.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(-.f32 (/.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32)))) (/.f32 (pow.f32 u1 #s(literal 6 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32)))))
(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1)) (/.f32 (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1)))
(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1)) (/.f32 (/.f32 (pow.f32 u1 #s(literal 6 binary32)) (+.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1)))
(-.f32 (/.f32 u1 #s(literal -1 binary32)) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) (-.f32 u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal 1 binary32)))
(-.f32 (/.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) #s(literal 1 binary32)) (/.f32 (/.f32 (*.f32 u1 u1) (-.f32 u1 #s(literal 1 binary32))) #s(literal -1 binary32)))
(-.f32 (/.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) #s(literal 1 binary32)) (/.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1 binary32)))
(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) #s(literal 1 binary32)) (/.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) #s(literal 1 binary32)))
(-.f32 (/.f32 (*.f32 u1 u1) (-.f32 u1 #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))
(-.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(-.f32 #s(literal 0 binary32) (-.f32 u1 #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (/.f32 (/.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (/.f32 u1 #s(literal -1 binary32)))
(-.f32 #s(literal 1 binary32) (/.f32 u1 #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (neg.f32 u1))
(-.f32 #s(literal 1 binary32) u1)
(fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (+.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32))) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 (.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal -1 binary32)) (exp.f32 (neg.f32 (log1p.f32 u1))) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (fma.f32 u1 u1 #s(literal 1 binary32)) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32)))) (+.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32)) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 9 binary32)))) (+.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (pow.f32 u1 #s(literal 3 binary32))) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))))) (pow.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) #s(literal 1 binary32)) (neg.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(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) (fma.f32 u1 u1 u1)) (neg.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 binary32)) #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32)) (neg.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32)) (neg.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal 1 binary32)) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (pow.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))) #s(literal -1 binary32)) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) #s(literal 1 binary32)) #s(literal -1 binary32)) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) #s(literal 1 binary32)) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 #s(literal -1 binary32) (pow.f32 (neg.f32 u1) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 #s(literal -1 binary32) (neg.f32 u1) #s(literal 1 binary32))
(fma.f32 #s(literal -1 binary32) u1 #s(literal 1 binary32))
(fma.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) #s(literal 1 binary32) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (neg.f32 u1) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (neg.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(fma.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (log1p.f32 u1))) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 #s(literal 1 binary32) (neg.f32 u1) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) u1 #s(literal 1 binary32))
(fma.f32 u1 #s(literal -1 binary32) #s(literal 1 binary32))
(fma.f32 u1 #s(literal 1 binary32) #s(literal 1 binary32))
(pow.f32 (/.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) #s(literal -1 binary32))
(pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (neg.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(+.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(+.f32 (neg.f32 u1) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (neg.f32 u1))
(+.f32 #s(literal 1 binary32) u1)
(+.f32 u1 #s(literal 1 binary32))
(exp.f32 (*.f32 (neg.f32 (log1p.f32 u1)) #s(literal -1 binary32)))
(exp.f32 (log1p.f32 u1))
(neg.f32 (-.f32 u1 #s(literal 1 binary32)))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

eval60.0ms (0.7%)

Memory: 28.1MiB live, 115.8MiB allocated
Compiler: Compiled 14 466 to 2 550 computations (82.4% saved)

prune26.0ms (0.3%)

Memory

-13.9MiB live, 60.6MiB allocated

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	539	20	559
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	539	21	560

Accuracy

99.8%

Counts

560 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.7%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	98.5%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
	99.1%	(.f32 (pow.f32 (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.3%	(.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 u1 #s(literal -1/2 binary32))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.1%	(.f32 (.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.1%	(.f32 (.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	98.9%	(.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	99.1%	(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	61.1%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	99.0%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	99.2%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	72.0%	(.f32 (sqrt.f32 (/.f32 u1 (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	99.1%	(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	98.9%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	60.5%	(.f32 (sqrt.f32 (.f32 (exp.f32 (log.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.3%	(.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	96.3%	(.f32 (exp.f32 (.f32 (log.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -2 binary32))) #s(literal 1/4 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	76.0%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	83.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	84.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))))
▶	84.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))

Compiler

Compiled 723 to 609 computations (15.8% saved)

simplify198.0ms (2.4%)

Memory

18.6MiB live, 181.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f32 (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1))))
cost-diff	0	(.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	64	(neg.f32 (/.f32 #s(literal 1 binary32) u1))
cost-diff	704	(/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))
cost-diff	0	(/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))
cost-diff	0	(sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))
cost-diff	0	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	192	(/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))
cost-diff	0	(/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1))
cost-diff	0	(sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1)))
cost-diff	0	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	224	(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))
cost-diff	0	(-.f32 #s(literal 1 binary32) u1)
cost-diff	0	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
cost-diff	0	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
cost-diff	0	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
cost-diff	64	(*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))
cost-diff	96	(-.f32 (.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1)))
cost-diff	256	(*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1))
cost-diff	448	(/.f32 (-.f32 (.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	331
0	70	374
1	117	337
2	246	249
3	699	249
4	2306	249
5	5023	249
6	7279	249
0	8029	248

Stop Event

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

Calls

Call 1

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

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

localize180.0ms (2.1%)

Memory

-5.7MiB live, 266.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.109375	(.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.16796875	(/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1))
accuracy	0.3125	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.31382753907376804	(/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))
accuracy	0.23046875	(/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))
accuracy	0.3125	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.32421875	(/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))
accuracy	3.784159665260866	(fma.f32 u1 u1 #s(literal 1 binary32))
accuracy	0.109375	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.16796875	(/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1))
accuracy	0.2734375	(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))
accuracy	0.3125	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0	(-.f32 #s(literal 1 binary32) u1)
accuracy	0.09375	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
accuracy	0.17578125	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy	5.0481636563429	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
accuracy	0.1875	(*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))
accuracy	0.3125	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.33203125	(/.f32 (-.f32 (.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))
accuracy	0.39453125	(*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))

Samples

108.0ms

256×

valid

Compiler

Compiled 662 to 83 computations (87.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

ival-mult: 50.0ms (57.2% of total)

ival-div: 12.0ms (13.7% of total)

ival-sqrt: 8.0ms (9.2% of total)

ival-sub: 6.0ms (6.9% of total)

const: 4.0ms (4.6% of total)

ival-cos: 3.0ms (3.4% of total)

ival-neg: 2.0ms (2.3% of total)

ival-add: 1.0ms (1.1% of total)

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

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

exact: 0.0ms (0% of total)

series27.0ms (0.3%)

Memory

-9.5MiB live, 28.3MiB allocated

Counts

23 → 103

Calls

Call 1

Inputs
(/.f32 (-.f32 (.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1))
(-.f32 (.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1)))
(*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1)))
(/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1))
(/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))
(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (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)) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))
(neg.f32 (/.f32 #s(literal 1 binary32) u1))
(.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1))))
(*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))
(*.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))))))
0
(* -1 u1)
(* u1 (- u1 1))
(* u1 (+ 1 (* -1 u1)))
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
1
(+ 1 (* -1 u1))
-1
(- (* -1 u1) 1)
(- (* u1 (- (* -1 u1) 1)) 1)
(- (* u1 (- (* u1 (- (* -1 u1) 1)) 1)) 1)
(* u1 (+ 1 (* u1 (- (* -1 u1) 1))))
(* u1 (+ 1 (* u1 (- (* u1 (- u1 1)) 1))))
(+ (* -1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))))))))
(+ (sqrt u1) (* -1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt u1)) (* -1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(+ 1 u1)
(+ 1 (* u1 (+ 1 (* 2 u1))))
(+ 1 (* u1 (+ 1 (* u1 (+ 2 (* 2 u1))))))
(/ -1 u1)
(- (* 2 u1) 1)
(- (* u1 (+ 2 (* -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)))
(pow u1 2)
(* (pow u1 2) (- 1 (/ 1 u1)))
(* -1 (pow u1 2))
(* (pow u1 2) (- (/ 1 u1) 1))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(* u1 (- (/ 1 u1) 1))
(/ 1 u1)
(/ (+ 1 (/ 1 u1)) u1)
(/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)
(/ (+ 1 (+ (/ 1 u1) (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 3))))) u1)
(- (/ 1 u1) 1)
(- (+ (/ 1 u1) (/ 1 (pow u1 2))) 1)
(- (+ (/ 1 u1) (/ 1 (pow u1 2))) (+ 1 (/ 1 (pow u1 3))))
(+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(+ (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 (* 1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))) (+ (* 1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (/ 1/2 (* u1 (sqrt -1))))))
(* -1 (* u1 (+ 1 (/ 1 u1))))
(* u1 (- (* -1 (/ (+ 1 (* 2 (/ 1 u1))) u1)) 1))
(* u1 (- (* -1 (/ (+ 2 (* 2 (/ 1 u1))) (pow u1 2))) (+ 1 (/ 1 u1))))
(* (pow u1 2) (- (* 2 (/ 1 u1)) 1))
(* (pow u1 2) (- (* 2 (/ 1 u1)) (+ 1 (/ 1 (pow u1 2)))))
(* (pow u1 2) (+ 1 (/ 1 (pow u1 2))))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(* -1 (* u1 (- 1 (/ 1 u1))))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1) u1))
(- (* -1 (/ (- (* -1 (/ (- 1 (/ 1 u1)) u1)) 1) u1)) 1)
(+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* 5/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -5/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* 3/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* 1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (sqrt -1) (* -1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* 1/2 (sqrt -1)) (* 5/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -5/8 (sqrt -1)) (* 3/16 (/ (sqrt -1) u1))) u1)) (* 1/2 (sqrt -1))) u1)))
(* -1 (* u1 (+ 1 (+ (/ 1 u1) (/ 2 (pow u1 2))))))
(* -1 (* u1 (+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 u1))) u1)) 1) u1)))))
(* (pow u1 2) (- (* -1 (/ (- (/ 1 u1) 2) u1)) 1))
(sqrt (/ u1 (- 1 u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(sqrt (/ (* u1 (- 1 u1)) (+ 1 (pow u1 2))))
(+ (sqrt (/ (* u1 (- 1 u1)) (+ 1 (pow u1 2)))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ (* u1 (- 1 u1)) (+ 1 (pow u1 2)))) (pow u2 2))))
(+ (sqrt (/ (* u1 (- 1 u1)) (+ 1 (pow u1 2)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (- 1 u1)) (+ 1 (pow u1 2))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- 1 u1)) (+ 1 (pow u1 2)))) (pow u2 2))))))
(+ (sqrt (/ (* u1 (- 1 u1)) (+ 1 (pow u1 2)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (- 1 u1)) (+ 1 (pow u1 2))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- 1 u1)) (+ 1 (pow u1 2)))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ (* u1 (- 1 u1)) (+ 1 (pow u1 2))))))))))
(* 314159265359/50000000000 u2)
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ (* u1 (- 1 u1)) (+ 1 (pow u1 2)))) (cos (* 314159265359/50000000000 u2)))

Calls

9 calls:

Time	Variable		Point	Expression
13.0ms	u1	@	-inf	((/ (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (- 1 u1))) (* 0 (- 1 u1)) (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (neg u1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (/ -1 (- 1 u1)) (neg u1)) (* (sqrt (* (/ -1 (- 1 u1)) (neg u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ -1 (- 1 u1)) (neg u1))) (/ -1 (- 1 u1)) (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1))) (* (sqrt (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1)))) (/ (+ (* u1 u1) 1) (- 1 u1)) (/ (/ -1 (- 1 u1)) (neg (/ 1 u1))) (neg (/ 1 u1)) (* (sqrt (/ (/ -1 (- 1 u1)) (neg (/ 1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ (/ -1 (- 1 u1)) (neg (/ 1 u1)))) (* (- u1 1) (- 1 u1)) (* 314159265359/50000000000 u2) (+ (* u1 u1) 1))
3.0ms	u1	@	inf	((/ (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (- 1 u1))) (* 0 (- 1 u1)) (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (neg u1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (/ -1 (- 1 u1)) (neg u1)) (* (sqrt (* (/ -1 (- 1 u1)) (neg u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ -1 (- 1 u1)) (neg u1))) (/ -1 (- 1 u1)) (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1))) (* (sqrt (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1)))) (/ (+ (* u1 u1) 1) (- 1 u1)) (/ (/ -1 (- 1 u1)) (neg (/ 1 u1))) (neg (/ 1 u1)) (* (sqrt (/ (/ -1 (- 1 u1)) (neg (/ 1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ (/ -1 (- 1 u1)) (neg (/ 1 u1)))) (* (- u1 1) (- 1 u1)) (* 314159265359/50000000000 u2) (+ (* u1 u1) 1))
3.0ms	u1	@	0	((/ (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (- 1 u1))) (* 0 (- 1 u1)) (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (neg u1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (/ -1 (- 1 u1)) (neg u1)) (* (sqrt (* (/ -1 (- 1 u1)) (neg u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ -1 (- 1 u1)) (neg u1))) (/ -1 (- 1 u1)) (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1))) (* (sqrt (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1)))) (/ (+ (* u1 u1) 1) (- 1 u1)) (/ (/ -1 (- 1 u1)) (neg (/ 1 u1))) (neg (/ 1 u1)) (* (sqrt (/ (/ -1 (- 1 u1)) (neg (/ 1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ (/ -1 (- 1 u1)) (neg (/ 1 u1)))) (* (- u1 1) (- 1 u1)) (* 314159265359/50000000000 u2) (+ (* u1 u1) 1))
2.0ms	u2	@	inf	((/ (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (- 1 u1))) (* 0 (- 1 u1)) (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (neg u1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (/ -1 (- 1 u1)) (neg u1)) (* (sqrt (* (/ -1 (- 1 u1)) (neg u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ -1 (- 1 u1)) (neg u1))) (/ -1 (- 1 u1)) (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1))) (* (sqrt (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1)))) (/ (+ (* u1 u1) 1) (- 1 u1)) (/ (/ -1 (- 1 u1)) (neg (/ 1 u1))) (neg (/ 1 u1)) (* (sqrt (/ (/ -1 (- 1 u1)) (neg (/ 1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ (/ -1 (- 1 u1)) (neg (/ 1 u1)))) (* (- u1 1) (- 1 u1)) (* 314159265359/50000000000 u2) (+ (* u1 u1) 1))
2.0ms	u2	@	-inf	((/ (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (- 1 u1))) (* 0 (- 1 u1)) (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (neg u1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (/ -1 (- 1 u1)) (neg u1)) (* (sqrt (* (/ -1 (- 1 u1)) (neg u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ -1 (- 1 u1)) (neg u1))) (/ -1 (- 1 u1)) (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1))) (* (sqrt (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1)))) (/ (+ (* u1 u1) 1) (- 1 u1)) (/ (/ -1 (- 1 u1)) (neg (/ 1 u1))) (neg (/ 1 u1)) (* (sqrt (/ (/ -1 (- 1 u1)) (neg (/ 1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ (/ -1 (- 1 u1)) (neg (/ 1 u1)))) (* (- u1 1) (- 1 u1)) (* 314159265359/50000000000 u2) (+ (* u1 u1) 1))

simplify224.0ms (2.7%)

Memory

7.0MiB live, 252.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	372	1815
1	1114	1628
2	3332	1457
3	7477	1455
0	8237	1371

Stop Event

1×	iter limit
1×	node limit

Counts

103 → 102

Calls

Call 1

Inputs
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
0
(* -1 u1)
(* u1 (- u1 1))
(* u1 (+ 1 (* -1 u1)))
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
1
(+ 1 (* -1 u1))
-1
(- (* -1 u1) 1)
(- (* u1 (- (* -1 u1) 1)) 1)
(- (* u1 (- (* u1 (- (* -1 u1) 1)) 1)) 1)
(* u1 (+ 1 (* u1 (- (* -1 u1) 1))))
(* u1 (+ 1 (* u1 (- (* u1 (- u1 1)) 1))))
(+ (* -1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))))))))
(+ (sqrt u1) (* -1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt u1)) (* -1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(+ 1 u1)
(+ 1 (* u1 (+ 1 (* 2 u1))))
(+ 1 (* u1 (+ 1 (* u1 (+ 2 (* 2 u1))))))
(/ -1 u1)
(- (* 2 u1) 1)
(- (* u1 (+ 2 (* -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)))
(pow u1 2)
(* (pow u1 2) (- 1 (/ 1 u1)))
(* -1 (pow u1 2))
(* (pow u1 2) (- (/ 1 u1) 1))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(* u1 (- (/ 1 u1) 1))
(/ 1 u1)
(/ (+ 1 (/ 1 u1)) u1)
(/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)
(/ (+ 1 (+ (/ 1 u1) (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 3))))) u1)
(- (/ 1 u1) 1)
(- (+ (/ 1 u1) (/ 1 (pow u1 2))) 1)
(- (+ (/ 1 u1) (/ 1 (pow u1 2))) (+ 1 (/ 1 (pow u1 3))))
(+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(+ (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 (* 1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))) (+ (* 1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (/ 1/2 (* u1 (sqrt -1))))))
(* -1 (* u1 (+ 1 (/ 1 u1))))
(* u1 (- (* -1 (/ (+ 1 (* 2 (/ 1 u1))) u1)) 1))
(* u1 (- (* -1 (/ (+ 2 (* 2 (/ 1 u1))) (pow u1 2))) (+ 1 (/ 1 u1))))
(* (pow u1 2) (- (* 2 (/ 1 u1)) 1))
(* (pow u1 2) (- (* 2 (/ 1 u1)) (+ 1 (/ 1 (pow u1 2)))))
(* (pow u1 2) (+ 1 (/ 1 (pow u1 2))))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(* -1 (* u1 (- 1 (/ 1 u1))))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1) u1))
(- (* -1 (/ (- (* -1 (/ (- 1 (/ 1 u1)) u1)) 1) u1)) 1)
(+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* 5/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -5/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* 3/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* 1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (sqrt -1) (* -1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* 1/2 (sqrt -1)) (* 5/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -5/8 (sqrt -1)) (* 3/16 (/ (sqrt -1) u1))) u1)) (* 1/2 (sqrt -1))) u1)))
(* -1 (* u1 (+ 1 (+ (/ 1 u1) (/ 2 (pow u1 2))))))
(* -1 (* u1 (+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 u1))) u1)) 1) u1)))))
(* (pow u1 2) (- (* -1 (/ (- (/ 1 u1) 2) u1)) 1))
(sqrt (/ u1 (- 1 u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(sqrt (/ (* u1 (- 1 u1)) (+ 1 (pow u1 2))))
(+ (sqrt (/ (* u1 (- 1 u1)) (+ 1 (pow u1 2)))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ (* u1 (- 1 u1)) (+ 1 (pow u1 2)))) (pow u2 2))))
(+ (sqrt (/ (* u1 (- 1 u1)) (+ 1 (pow u1 2)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (- 1 u1)) (+ 1 (pow u1 2))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- 1 u1)) (+ 1 (pow u1 2)))) (pow u2 2))))))
(+ (sqrt (/ (* u1 (- 1 u1)) (+ 1 (pow u1 2)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (- 1 u1)) (+ 1 (pow u1 2))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- 1 u1)) (+ 1 (pow u1 2)))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ (* u1 (- 1 u1)) (+ 1 (pow u1 2))))))))))
(* 314159265359/50000000000 u2)
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ (* u1 (- 1 u1)) (+ 1 (pow u1 2)))) (cos (* 314159265359/50000000000 u2)))

Outputs
u1
(* u1 (+ 1 u1))
(fma.f32 u1 u1 u1)
(* u1 (+ 1 (* u1 (+ 1 u1))))
(fma.f32 (fma.f32 u1 u1 u1) u1 u1)
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)
0
#s(literal 0 binary32)
(* -1 u1)
(neg.f32 u1)
(* u1 (- u1 1))
(fma.f32 u1 u1 (neg.f32 u1))
(* u1 (+ 1 (* -1 u1)))
(*.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1)))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(fma.f32 (.f32 (.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) #s(literal 1/2 binary32)) (pow.f32 u1 #s(literal 3 binary32)) (.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fma.f32 (.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))))
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(fma.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) u1 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1) (sqrt.f32 u1))
1
#s(literal 1 binary32)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
-1
#s(literal -1 binary32)
(- (* -1 u1) 1)
(-.f32 #s(literal -1 binary32) u1)
(- (* u1 (- (* -1 u1) 1)) 1)
(fma.f32 (-.f32 #s(literal -1 binary32) u1) u1 #s(literal -1 binary32))
(- (* u1 (- (* u1 (- (* -1 u1) 1)) 1)) 1)
(fma.f32 (fma.f32 (-.f32 #s(literal -1 binary32) u1) u1 #s(literal -1 binary32)) u1 #s(literal -1 binary32))
(* u1 (+ 1 (* u1 (- (* -1 u1) 1))))
(*.f32 (fma.f32 (-.f32 #s(literal -1 binary32) u1) u1 #s(literal 1 binary32)) u1)
(* u1 (+ 1 (* u1 (- (* u1 (- u1 1)) 1))))
(*.f32 (fma.f32 (fma.f32 u1 u1 (-.f32 #s(literal -1 binary32) u1)) u1 #s(literal 1 binary32)) u1)
(+ (* -1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(fma.f32 (.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (.f32 u1 u1)) (.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) #s(literal -1/2 binary32)) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))))))))
(fma.f32 (.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) u1) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (sqrt.f32 u1)))) (pow.f32 u1 #s(literal 3 binary32)) (.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fma.f32 (.f32 (*.f32 u1 u1) #s(literal -1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))))
(+ (sqrt u1) (* -1/2 (sqrt (pow u1 3))))
(fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt u1)) (* -1/2 (sqrt (/ 1 u1))))))
(fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 u1 u1)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(fma.f32 (fma.f32 (.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) u1) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (sqrt.f32 u1)) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1/2 binary32) (.f32 u1 #s(literal -1/2 binary32))))) (.f32 u1 u1) (sqrt.f32 u1))
(+ 1 u1)
(-.f32 u1 #s(literal -1 binary32))
(+ 1 (* u1 (+ 1 (* 2 u1))))
(fma.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32))
(+ 1 (* u1 (+ 1 (* u1 (+ 2 (* 2 u1))))))
(fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 2 binary32)) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32))
(/ -1 u1)
(/.f32 #s(literal -1 binary32) u1)
(- (* 2 u1) 1)
(fma.f32 #s(literal 2 binary32) u1 #s(literal -1 binary32))
(- (* u1 (+ 2 (* -1 u1))) 1)
(fma.f32 (-.f32 #s(literal 2 binary32) u1) u1 #s(literal -1 binary32))
(+ 1 (pow u1 2))
(fma.f32 u1 u1 #s(literal 1 binary32))
(* -1 (+ 1 (/ 1 u1)))
(-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(-.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) u1))
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) u1) u1)))
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (- 1 (/ 1 u1)))
(fma.f32 u1 u1 (neg.f32 u1))
(* -1 (pow u1 2))
(*.f32 (neg.f32 u1) u1)
(* (pow u1 2) (- (/ 1 u1) 1))
(*.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (/.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) u1))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(fma.f32 (/.f32 #s(literal -1/2 binary32) u1) (/.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 #s(literal -1 binary32))) (.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (+.f32 (/.f32 #s(literal -3/8 binary32) (.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1)) (sqrt.f32 #s(literal -1 binary32)))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(fma.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (/.f32 #s(literal 3/4 binary32) u1) (/.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) u1) (/.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) u1)) (.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (+.f32 (/.f32 (/.f32 #s(literal -5/16 binary32) (pow.f32 u1 #s(literal 3 binary32))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32)))))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(-.f32 (+.f32 (/.f32 #s(literal -3/8 binary32) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(-.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 5/8 binary32) (pow.f32 u1 #s(literal 3 binary32))) (/.f32 #s(literal 3/4 binary32) (.f32 u1 u1))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))
(* u1 (- (/ 1 u1) 1))
(-.f32 #s(literal 1 binary32) u1)
(/ 1 u1)
(/.f32 #s(literal 1 binary32) u1)
(/ (+ 1 (/ 1 u1)) u1)
(/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) u1)
(/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)
(/.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) u1)) u1)
(/ (+ 1 (+ (/ 1 u1) (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 3))))) u1)
(/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1 binary32)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) (/.f32 #s(literal 1 binary32) u1))) u1)
(- (/ 1 u1) 1)
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(- (+ (/ 1 u1) (/ 1 (pow u1 2))) 1)
(-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))
(- (+ (/ 1 u1) (/ 1 (pow u1 2))) (+ 1 (/ 1 (pow u1 3))))
(-.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) u1) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))
(+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (/.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) u1))))
(+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(fma.f32 (/.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) u1) (.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (+.f32 (/.f32 #s(literal 5/8 binary32) (.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1)) (sqrt.f32 #s(literal -1 binary32)))))
(+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(fma.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (/.f32 #s(literal 5/4 binary32) u1) (/.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) u1) (/.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) u1)) (.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (+.f32 (/.f32 (/.f32 #s(literal -3/16 binary32) (pow.f32 u1 #s(literal 3 binary32))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32)))))
(+ (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 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 (* u1 (sqrt -1)))))
(+.f32 (+.f32 (/.f32 #s(literal 5/8 binary32) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1)) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1))) (sqrt.f32 #s(literal -1 binary32)))
(+ (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 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (/ 1/2 (* u1 (sqrt -1))))))
(+.f32 (+.f32 (/.f32 (/.f32 #s(literal -3/16 binary32) (pow.f32 u1 #s(literal 3 binary32))) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 5/8 binary32) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1)) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))) (sqrt.f32 #s(literal -1 binary32)))
(* -1 (* u1 (+ 1 (/ 1 u1))))
(-.f32 #s(literal -1 binary32) u1)
(* u1 (- (* -1 (/ (+ 1 (* 2 (/ 1 u1))) u1)) 1))
(*.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) u1) #s(literal 1 binary32)) u1)) u1)
(* u1 (- (* -1 (/ (+ 2 (* 2 (/ 1 u1))) (pow u1 2))) (+ 1 (/ 1 u1))))
(fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -2 binary32) u1) #s(literal -2 binary32)) (*.f32 u1 u1)) u1 (-.f32 #s(literal -1 binary32) u1))
(* (pow u1 2) (- (* 2 (/ 1 u1)) 1))
(.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) u1) #s(literal 1 binary32)) u1) u1)
(* (pow u1 2) (- (* 2 (/ 1 u1)) (+ 1 (/ 1 (pow u1 2)))))
(fma.f32 (/.f32 #s(literal 2 binary32) u1) (*.f32 u1 u1) (neg.f32 (fma.f32 u1 u1 #s(literal 1 binary32))))
(* (pow u1 2) (+ 1 (/ 1 (pow u1 2))))
(fma.f32 u1 u1 #s(literal 1 binary32))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(-.f32 #s(literal -1 binary32) (/.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) u1)) u1))
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (/.f32 (.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal -3/8 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1/2 binary32)))) (neg.f32 u1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (/.f32 (fma.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1/2 binary32)) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (/.f32 (.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 5/16 binary32) (.f32 #s(literal 3/8 binary32) (sqrt.f32 #s(literal -1 binary32))))) (neg.f32 u1))) (neg.f32 u1)))
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal -3/8 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1/2 binary32))) u1))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (-.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1/2 binary32)) (/.f32 (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 5/16 binary32) (.f32 #s(literal 3/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1)) u1))
(* -1 (* u1 (- 1 (/ 1 u1))))
(-.f32 #s(literal 1 binary32) u1)
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)) u1)
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1) u1))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 #s(literal -1 binary32) u1) u1) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))) u1)) u1)
(- (* -1 (/ (- (* -1 (/ (- 1 (/ 1 u1)) u1)) 1) u1)) 1)
(-.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) u1) #s(literal 1 binary32)) u1))
(+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))))
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* 5/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (/.f32 (.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fma.f32 #s(literal 5/8 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)))) (neg.f32 u1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -5/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* 3/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* 1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (/.f32 (fma.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (/.f32 (.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fma.f32 #s(literal 3/16 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (.f32 #s(literal -5/8 binary32) (sqrt.f32 #s(literal -1 binary32))))) (neg.f32 u1))) (neg.f32 u1)))
(+ (sqrt -1) (* -1/2 (/ (sqrt -1) u1)))
(fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* -1 (/ (+ (* 1/2 (sqrt -1)) (* 5/8 (/ (sqrt -1) u1))) u1)))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal 5/8 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32))) u1))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -5/8 (sqrt -1)) (* 3/16 (/ (sqrt -1) u1))) u1)) (* 1/2 (sqrt -1))) u1)))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (-.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) (/.f32 (fma.f32 #s(literal 3/16 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (.f32 #s(literal -5/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1)) u1))
(* -1 (* u1 (+ 1 (+ (/ 1 u1) (/ 2 (pow u1 2))))))
(-.f32 (fma.f32 (/.f32 (/.f32 #s(literal 2 binary32) u1) u1) (neg.f32 u1) #s(literal -1 binary32)) u1)
(* -1 (* u1 (+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 u1))) u1)) 1) u1)))))
(fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -2 binary32) u1) #s(literal -2 binary32)) (*.f32 u1 u1)) u1 (-.f32 #s(literal -1 binary32) u1))
(* (pow u1 2) (- (* -1 (/ (- (/ 1 u1) 2) u1)) 1))
(fma.f32 (/.f32 #s(literal 2 binary32) u1) (*.f32 u1 u1) (neg.f32 (fma.f32 u1 u1 #s(literal 1 binary32))))
(sqrt (/ u1 (- 1 u1)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(fma.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (pow.f32 u2 #s(literal 4 binary32)) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
(sqrt (/ (* u1 (- 1 u1)) (+ 1 (pow u1 2))))
(sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))
(+ (sqrt (/ (* u1 (- 1 u1)) (+ 1 (pow u1 2)))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ (* u1 (- 1 u1)) (+ 1 (pow u1 2)))) (pow u2 2))))
(.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))
(+ (sqrt (/ (* u1 (- 1 u1)) (+ 1 (pow u1 2)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (- 1 u1)) (+ 1 (pow u1 2))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- 1 u1)) (+ 1 (pow u1 2)))) (pow u2 2))))))
(fma.f32 (.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (.f32 u2 u2) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))
(+ (sqrt (/ (* u1 (- 1 u1)) (+ 1 (pow u1 2)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (- 1 u1)) (+ 1 (pow u1 2))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- 1 u1)) (+ 1 (pow u1 2)))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ (* u1 (- 1 u1)) (+ 1 (pow u1 2))))))))))
(fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ (* u1 (- 1 u1)) (+ 1 (pow u1 2)))) (cos (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))

rewrite195.0ms (2.3%)

Memory

21.2MiB live, 401.3MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	211
0	66	213
1	215	191
2	1475	158
0	8896	158

Stop Event

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

Counts

23 → 2 274

Calls

Call 1

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

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

eval347.0ms (4.1%)

Memory: 10.7MiB live, 711.8MiB allocated
Compiler: Compiled 65 313 to 9 094 computations (86.1% saved)

prune109.0ms (1.3%)

Memory

-23.4MiB live, 124.7MiB allocated

Pruning

32 alts after pruning (29 fresh and 3 done)

	Pruned	Kept	Total
New	2 095	20	2 115
Fresh	6	9	15
Picked	3	2	5
Done	0	1	1
Total	2 104	32	2 136

Accuracy

99.8%

Counts

2 136 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.7%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	98.7%	(/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
	98.3%	(.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 u1 #s(literal -1/2 binary32))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.1%	(.f32 (.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.6%	(.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 (neg.f32 (pow.f32 u1 #s(literal -3 binary32))) (+.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 0 binary32))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	99.0%	(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 u1 u1) u1) (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.9%	(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 (/.f32 (.f32 u1 u1) #s(literal -1 binary32)) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	71.5%	(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (/.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (pow.f32 (-.f32 u1 #s(literal -1 binary32)) #s(literal 2 binary32))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	61.2%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	99.2%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.8%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	59.6%	(.f32 (sqrt.f32 (.f32 (exp.f32 (log.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	88.0%	(.f32 (sqrt.f32 (.f32 #s(approx (/ -1 (- 1 u1)) (-.f32 #s(literal -1 binary32) u1)) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	96.2%	(.f32 (sqrt.f32 (exp.f32 (.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal -1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.3%	(.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	96.3%	(.f32 (exp.f32 (.f32 (log.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -2 binary32))) #s(literal 1/4 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	59.6%	(.f32 (exp.f32 (.f32 (log.f32 (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	76.0%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	62.8%	#s(approx (* (sqrt (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1)))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))))
	64.9%	#s(approx (* (sqrt (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))
	84.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)))
	83.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	83.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
	83.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	83.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (sqrt.f32 u1)))
	83.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))
	84.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))))
	75.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal -1 binary32))))))
	83.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 u1 #s(literal -1 binary32))))))
▶	66.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))))))
✓	84.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
▶	66.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))

Compiler

Compiled 1 281 to 1 050 computations (18% saved)

simplify108.0ms (1.3%)

Memory

27.0MiB live, 133.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	96	(-.f32 (.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1)))
cost-diff	256	(*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1))
cost-diff	512	(/.f32 (-.f32 (.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (/.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (pow.f32 (-.f32 u1 #s(literal -1 binary32)) #s(literal 2 binary32))))
cost-diff	3936	(/.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (pow.f32 (-.f32 u1 #s(literal -1 binary32)) #s(literal 2 binary32)))
cost-diff	0	#s(approx (/ -1 (- 1 u1)) (-.f32 #s(literal -1 binary32) u1))
cost-diff	0	(*.f32 #s(approx (/ -1 (- 1 u1)) (-.f32 #s(literal -1 binary32) u1)) (neg.f32 u1))
cost-diff	0	(sqrt.f32 (*.f32 #s(approx (/ -1 (- 1 u1)) (-.f32 #s(literal -1 binary32) u1)) (neg.f32 u1)))
cost-diff	0	(.f32 (sqrt.f32 (.f32 #s(approx (/ -1 (- 1 u1)) (-.f32 #s(literal -1 binary32) u1)) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	0	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))))))
cost-diff	64	(+.f32 #s(literal -1 binary32) (*.f32 u1 u1))
cost-diff	96	(fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))
cost-diff	544	(/.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))
cost-diff	0	(sqrt.f32 u1)
cost-diff	0	#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
cost-diff	0	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
cost-diff	0	(-.f32 (*.f32 u1 u1) u1)
cost-diff	0	(sqrt.f32 (/.f32 (-.f32 (.f32 u1 u1) u1) (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))
cost-diff	0	(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 u1 u1) u1) (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	512	(/.f32 (-.f32 (.f32 u1 u1) u1) (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	438
0	86	361
1	144	360
2	329	360
3	1467	291
4	7999	291
0	8002	291

Stop Event

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

Calls

Call 1

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

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

localize171.0ms (2%)

Memory

8.5MiB live, 164.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.33203125	(/.f32 (-.f32 (.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (/.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (pow.f32 (-.f32 u1 #s(literal -1 binary32)) #s(literal 2 binary32))))
accuracy	0.4114837890737681	(/.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (pow.f32 (-.f32 u1 #s(literal -1 binary32)) #s(literal 2 binary32)))
accuracy	0.421875	(pow.f32 (-.f32 u1 #s(literal -1 binary32)) #s(literal 2 binary32))
accuracy	4.142246512012775	(fma.f32 u1 u1 #s(literal -1 binary32))
accuracy	0.109375	(.f32 (sqrt.f32 (.f32 #s(approx (/ -1 (- 1 u1)) (-.f32 #s(literal -1 binary32) u1)) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.2734375	(*.f32 #s(approx (/ -1 (- 1 u1)) (-.f32 #s(literal -1 binary32) u1)) (neg.f32 u1))
accuracy	0.3125	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	3.86271147719194	#s(approx (/ -1 (- 1 u1)) (-.f32 #s(literal -1 binary32) u1))
accuracy	0.17578125	(/.f32 u1 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))))
accuracy	0.3984375	(/.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))
accuracy	5.0481636563429	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))))))
accuracy	7.910692640553884	(fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))
accuracy	0	(sqrt.f32 u1)
accuracy	5.0481636563429	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
accuracy	7.655368375063061	#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
accuracy	0.109375	(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 u1 u1) u1) (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.3125	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.33203125	(/.f32 (-.f32 (.f32 u1 u1) u1) (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))
accuracy	0.39453125	(*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))

Samples

138.0ms

256×

valid

Compiler

Compiled 845 to 103 computations (87.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 114.0ms

ival-neg: 33.0ms (29% of total)

ival-add: 19.0ms (16.7% of total)

ival-mult: 18.0ms (15.8% of total)

ival-div: 17.0ms (14.9% of total)

ival-sqrt: 9.0ms (7.9% of total)

ival-sub: 8.0ms (7% of total)

const: 4.0ms (3.5% of total)

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

ival-pow2: 2.0ms (1.8% of total)

exact: 1.0ms (0.9% of total)

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

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

series23.0ms (0.3%)

Memory

-34.2MiB live, 17.6MiB allocated

Counts

24 → 80

Calls

Call 1

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

Outputs
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(* -1 u1)
(* u1 (- u1 1))
1
(+ 1 (* -1 u1))
-1
(- (* -1 u1) 1)
(- (pow u1 2) 1)
(- (* u1 (- (* -1 u1) 1)) 1)
(- (* u1 (- (* u1 (- (* -1 u1) 1)) 1)) 1)
(- (* 2 u1) 1)
(- (* u1 (+ 2 (* -1 u1))) 1)
0
(+ 1 (* 2 u1))
(+ 1 (* u1 (+ 2 u1)))
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(pow u1 2)
(* (pow u1 2) (- 1 (/ 1 u1)))
(* u1 (- (/ 1 u1) 1))
(* -1 (* u1 (+ 1 (/ 1 u1))))
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(/ 1 u1)
(/ (+ 1 (/ 1 u1)) u1)
(/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)
(/ (+ 1 (+ (/ 1 u1) (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 3))))) u1)
(* -1 (pow u1 2))
(* (pow u1 2) (- (* 2 (/ 1 u1)) 1))
(* (pow u1 2) (- (* 2 (/ 1 u1)) (+ 1 (/ 1 (pow u1 2)))))
(* (pow u1 2) (+ 1 (* 2 (/ 1 u1))))
(* (pow u1 2) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(+ (* -1 (/ (+ (* -1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (+ (* -1/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* 1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (+ (* 1/16 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (+ (* 1/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))) u1)) (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (+ (* -1/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) u1)) (* 1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (sqrt -1)) (* 1/2 (sqrt -1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (sqrt -1)) (+ (* -1 (/ (+ (sqrt -1) (+ (* -1/2 (sqrt -1)) (* -1/8 (sqrt -1)))) u1)) (* 1/2 (sqrt -1)))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (sqrt -1)) (+ (* -1 (/ (+ (sqrt -1) (+ (* -1 (/ (+ (* -1 (sqrt -1)) (+ (* 1/16 (sqrt -1)) (+ (* 1/8 (sqrt -1)) (* 1/2 (sqrt -1))))) u1)) (+ (* -1/2 (sqrt -1)) (* -1/8 (sqrt -1))))) u1)) (* 1/2 (sqrt -1)))) u1)))
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* u1 (- 1 (/ 1 u1))))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1) u1))
(* (pow u1 2) (- (* -1 (/ (- (/ 1 u1) 2) u1)) 1))
(sqrt (/ (- (pow u1 2) u1) (* (- 1 u1) (- u1 1))))
(+ (sqrt (/ (- (pow u1 2) u1) (* (- 1 u1) (- u1 1)))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ (- (pow u1 2) u1) (* (- 1 u1) (- u1 1)))))))
(+ (sqrt (/ (- (pow u1 2) u1) (* (- 1 u1) (- u1 1)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (- (pow u1 2) u1) (* (- 1 u1) (- u1 1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (- (pow u1 2) u1) (* (- 1 u1) (- u1 1)))))))))
(+ (sqrt (/ (- (pow u1 2) u1) (* (- 1 u1) (- u1 1)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (- (pow u1 2) u1) (* (- 1 u1) (- u1 1))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (- (pow u1 2) u1) (* (- 1 u1) (- u1 1)))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ (- (pow u1 2) u1) (* (- 1 u1) (- u1 1))))))))))
(sqrt (/ u1 (- 1 u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(* 314159265359/50000000000 u2)
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (- (pow u1 2) u1) (* (- 1 u1) (- u1 1)))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	u1	@	-inf	((/ (- (* u1 u1) u1) (* (- u1 1) (- 1 u1))) (* (sqrt (/ (- (* u1 u1) u1) (* (- u1 1) (- 1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ (- (* u1 u1) u1) (* (- u1 1) (- 1 u1)))) (- (* u1 u1) u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (/ (+ -1 (* u1 u1)) (+ (* -1 u1) -1)) (+ (* -1 u1) -1) (+ -1 (* u1 u1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (* (/ -1 (- 1 u1)) (neg u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ -1 (- 1 u1)) (neg u1))) (* (/ -1 (- 1 u1)) (neg u1)) (/ -1 (- 1 u1)) (/ (* (+ (* u1 u1) -1) (- 1 (* u1 u1))) (pow (- u1 -1) 2)) (/ (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (/ (* (+ (* u1 u1) -1) (- 1 (* u1 u1))) (pow (- u1 -1) 2))) (* 0 (- 1 u1)) (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (- 1 u1)) (* 314159265359/50000000000 u2) (/ u1 (/ (+ -1 (* u1 u1)) (+ (* -1 u1) -1))) (+ (* u1 u1) -1) (pow (- u1 -1) 2))
2.0ms	u1	@	inf	((/ (- (* u1 u1) u1) (* (- u1 1) (- 1 u1))) (* (sqrt (/ (- (* u1 u1) u1) (* (- u1 1) (- 1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ (- (* u1 u1) u1) (* (- u1 1) (- 1 u1)))) (- (* u1 u1) u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (/ (+ -1 (* u1 u1)) (+ (* -1 u1) -1)) (+ (* -1 u1) -1) (+ -1 (* u1 u1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (* (/ -1 (- 1 u1)) (neg u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ -1 (- 1 u1)) (neg u1))) (* (/ -1 (- 1 u1)) (neg u1)) (/ -1 (- 1 u1)) (/ (* (+ (* u1 u1) -1) (- 1 (* u1 u1))) (pow (- u1 -1) 2)) (/ (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (/ (* (+ (* u1 u1) -1) (- 1 (* u1 u1))) (pow (- u1 -1) 2))) (* 0 (- 1 u1)) (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (- 1 u1)) (* 314159265359/50000000000 u2) (/ u1 (/ (+ -1 (* u1 u1)) (+ (* -1 u1) -1))) (+ (* u1 u1) -1) (pow (- u1 -1) 2))
2.0ms	u2	@	inf	((/ (- (* u1 u1) u1) (* (- u1 1) (- 1 u1))) (* (sqrt (/ (- (* u1 u1) u1) (* (- u1 1) (- 1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ (- (* u1 u1) u1) (* (- u1 1) (- 1 u1)))) (- (* u1 u1) u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (/ (+ -1 (* u1 u1)) (+ (* -1 u1) -1)) (+ (* -1 u1) -1) (+ -1 (* u1 u1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (* (/ -1 (- 1 u1)) (neg u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ -1 (- 1 u1)) (neg u1))) (* (/ -1 (- 1 u1)) (neg u1)) (/ -1 (- 1 u1)) (/ (* (+ (* u1 u1) -1) (- 1 (* u1 u1))) (pow (- u1 -1) 2)) (/ (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (/ (* (+ (* u1 u1) -1) (- 1 (* u1 u1))) (pow (- u1 -1) 2))) (* 0 (- 1 u1)) (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (- 1 u1)) (* 314159265359/50000000000 u2) (/ u1 (/ (+ -1 (* u1 u1)) (+ (* -1 u1) -1))) (+ (* u1 u1) -1) (pow (- u1 -1) 2))
2.0ms	u1	@	0	((/ (- (* u1 u1) u1) (* (- u1 1) (- 1 u1))) (* (sqrt (/ (- (* u1 u1) u1) (* (- u1 1) (- 1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ (- (* u1 u1) u1) (* (- u1 1) (- 1 u1)))) (- (* u1 u1) u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (/ (+ -1 (* u1 u1)) (+ (* -1 u1) -1)) (+ (* -1 u1) -1) (+ -1 (* u1 u1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (* (/ -1 (- 1 u1)) (neg u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ -1 (- 1 u1)) (neg u1))) (* (/ -1 (- 1 u1)) (neg u1)) (/ -1 (- 1 u1)) (/ (* (+ (* u1 u1) -1) (- 1 (* u1 u1))) (pow (- u1 -1) 2)) (/ (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (/ (* (+ (* u1 u1) -1) (- 1 (* u1 u1))) (pow (- u1 -1) 2))) (* 0 (- 1 u1)) (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (- 1 u1)) (* 314159265359/50000000000 u2) (/ u1 (/ (+ -1 (* u1 u1)) (+ (* -1 u1) -1))) (+ (* u1 u1) -1) (pow (- u1 -1) 2))
2.0ms	u2	@	-inf	((/ (- (* u1 u1) u1) (* (- u1 1) (- 1 u1))) (* (sqrt (/ (- (* u1 u1) u1) (* (- u1 1) (- 1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ (- (* u1 u1) u1) (* (- u1 1) (- 1 u1)))) (- (* u1 u1) u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (/ (+ -1 (* u1 u1)) (+ (* -1 u1) -1)) (+ (* -1 u1) -1) (+ -1 (* u1 u1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (* (/ -1 (- 1 u1)) (neg u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ -1 (- 1 u1)) (neg u1))) (* (/ -1 (- 1 u1)) (neg u1)) (/ -1 (- 1 u1)) (/ (* (+ (* u1 u1) -1) (- 1 (* u1 u1))) (pow (- u1 -1) 2)) (/ (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (/ (* (+ (* u1 u1) -1) (- 1 (* u1 u1))) (pow (- u1 -1) 2))) (* 0 (- 1 u1)) (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (- 1 u1)) (* 314159265359/50000000000 u2) (/ u1 (/ (+ -1 (* u1 u1)) (+ (* -1 u1) -1))) (+ (* u1 u1) -1) (pow (- u1 -1) 2))

simplify177.0ms (2.1%)

Memory

18.1MiB live, 211.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	317	1426
1	941	1187
2	2865	1061
0	8138	1008

Stop Event

1×	iter limit
1×	node limit

Counts

80 → 79

Calls

Call 1

Inputs
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(* -1 u1)
(* u1 (- u1 1))
1
(+ 1 (* -1 u1))
-1
(- (* -1 u1) 1)
(- (pow u1 2) 1)
(- (* u1 (- (* -1 u1) 1)) 1)
(- (* u1 (- (* u1 (- (* -1 u1) 1)) 1)) 1)
(- (* 2 u1) 1)
(- (* u1 (+ 2 (* -1 u1))) 1)
0
(+ 1 (* 2 u1))
(+ 1 (* u1 (+ 2 u1)))
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(pow u1 2)
(* (pow u1 2) (- 1 (/ 1 u1)))
(* u1 (- (/ 1 u1) 1))
(* -1 (* u1 (+ 1 (/ 1 u1))))
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(/ 1 u1)
(/ (+ 1 (/ 1 u1)) u1)
(/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)
(/ (+ 1 (+ (/ 1 u1) (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 3))))) u1)
(* -1 (pow u1 2))
(* (pow u1 2) (- (* 2 (/ 1 u1)) 1))
(* (pow u1 2) (- (* 2 (/ 1 u1)) (+ 1 (/ 1 (pow u1 2)))))
(* (pow u1 2) (+ 1 (* 2 (/ 1 u1))))
(* (pow u1 2) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(+ (* -1 (/ (+ (* -1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (+ (* -1/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* 1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (+ (* 1/16 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (+ (* 1/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))) u1)) (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (+ (* -1/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) u1)) (* 1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (sqrt -1)) (* 1/2 (sqrt -1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (sqrt -1)) (+ (* -1 (/ (+ (sqrt -1) (+ (* -1/2 (sqrt -1)) (* -1/8 (sqrt -1)))) u1)) (* 1/2 (sqrt -1)))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (sqrt -1)) (+ (* -1 (/ (+ (sqrt -1) (+ (* -1 (/ (+ (* -1 (sqrt -1)) (+ (* 1/16 (sqrt -1)) (+ (* 1/8 (sqrt -1)) (* 1/2 (sqrt -1))))) u1)) (+ (* -1/2 (sqrt -1)) (* -1/8 (sqrt -1))))) u1)) (* 1/2 (sqrt -1)))) u1)))
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* u1 (- 1 (/ 1 u1))))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1) u1))
(* (pow u1 2) (- (* -1 (/ (- (/ 1 u1) 2) u1)) 1))
(sqrt (/ (- (pow u1 2) u1) (* (- 1 u1) (- u1 1))))
(+ (sqrt (/ (- (pow u1 2) u1) (* (- 1 u1) (- u1 1)))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ (- (pow u1 2) u1) (* (- 1 u1) (- u1 1)))))))
(+ (sqrt (/ (- (pow u1 2) u1) (* (- 1 u1) (- u1 1)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (- (pow u1 2) u1) (* (- 1 u1) (- u1 1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (- (pow u1 2) u1) (* (- 1 u1) (- u1 1)))))))))
(+ (sqrt (/ (- (pow u1 2) u1) (* (- 1 u1) (- u1 1)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (- (pow u1 2) u1) (* (- 1 u1) (- u1 1))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (- (pow u1 2) u1) (* (- 1 u1) (- u1 1)))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ (- (pow u1 2) u1) (* (- 1 u1) (- u1 1))))))))))
(sqrt (/ u1 (- 1 u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(* 314159265359/50000000000 u2)
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (- (pow u1 2) u1) (* (- 1 u1) (- u1 1)))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))

Outputs
u1
(* u1 (+ 1 u1))
(fma.f32 u1 u1 u1)
(* u1 (+ 1 (* u1 (+ 1 u1))))
(fma.f32 (fma.f32 u1 u1 u1) u1 u1)
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(.f32 (cos.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) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(fma.f32 (.f32 (cos.f32 (.f32 #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 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(fma.f32 (.f32 (.f32 (cos.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 (cos.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))
(* -1 u1)
(neg.f32 u1)
(* u1 (- u1 1))
(*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
1
#s(literal 1 binary32)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
-1
#s(literal -1 binary32)
(- (* -1 u1) 1)
(-.f32 #s(literal -1 binary32) u1)
(- (pow u1 2) 1)
(fma.f32 u1 u1 #s(literal -1 binary32))
(- (* u1 (- (* -1 u1) 1)) 1)
(fma.f32 (-.f32 #s(literal -1 binary32) u1) u1 #s(literal -1 binary32))
(- (* u1 (- (* u1 (- (* -1 u1) 1)) 1)) 1)
(fma.f32 (fma.f32 (-.f32 #s(literal -1 binary32) u1) u1 #s(literal -1 binary32)) u1 #s(literal -1 binary32))
(- (* 2 u1) 1)
(fma.f32 #s(literal 2 binary32) u1 #s(literal -1 binary32))
(- (* u1 (+ 2 (* -1 u1))) 1)
(fma.f32 (-.f32 #s(literal 2 binary32) u1) u1 #s(literal -1 binary32))
0
#s(literal 0 binary32)
(+ 1 (* 2 u1))
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1 binary32))
(+ 1 (* u1 (+ 2 u1)))
(fma.f32 (+.f32 #s(literal 2 binary32) u1) u1 #s(literal 1 binary32))
(* -1 (+ 1 (/ 1 u1)))
(-.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal 1 binary32))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(-.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) u1) u1)))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) u1))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(fma.f32 (/.f32 #s(literal -1/2 binary32) u1) (/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (/.f32 #s(literal -3/8 binary32) (.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1)) (sqrt.f32 #s(literal -1 binary32)))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(fma.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (/.f32 #s(literal 3/4 binary32) u1) (/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) u1) (/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) u1)) (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (/.f32 (/.f32 #s(literal -5/16 binary32) (pow.f32 u1 #s(literal 3 binary32))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32)))))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(-.f32 (+.f32 (/.f32 #s(literal -3/8 binary32) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(-.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 5/8 binary32) (pow.f32 u1 #s(literal 3 binary32))) (/.f32 #s(literal 3/4 binary32) (.f32 u1 u1))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (- 1 (/ 1 u1)))
(*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
(* u1 (- (/ 1 u1) 1))
(-.f32 #s(literal 1 binary32) u1)
(* -1 (* u1 (+ 1 (/ 1 u1))))
(-.f32 #s(literal -1 binary32) u1)
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(fma.f32 u1 u1 #s(literal -1 binary32))
(/ 1 u1)
(/.f32 #s(literal 1 binary32) u1)
(/ (+ 1 (/ 1 u1)) u1)
(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)
(/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)
(/.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) u1)) u1)
(/ (+ 1 (+ (/ 1 u1) (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 3))))) u1)
(/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1 binary32)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) (/.f32 #s(literal 1 binary32) u1))) u1)
(* -1 (pow u1 2))
(*.f32 (neg.f32 u1) u1)
(* (pow u1 2) (- (* 2 (/ 1 u1)) 1))
(.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) u1) #s(literal 1 binary32)) u1) u1)
(* (pow u1 2) (- (* 2 (/ 1 u1)) (+ 1 (/ 1 (pow u1 2)))))
(fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) u1) #s(literal 1 binary32)) (*.f32 u1 u1) #s(literal -1 binary32))
(* (pow u1 2) (+ 1 (* 2 (/ 1 u1))))
(*.f32 u1 (fma.f32 (/.f32 #s(literal 2 binary32) u1) u1 u1))
(* (pow u1 2) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(fma.f32 u1 (fma.f32 (/.f32 #s(literal 2 binary32) u1) u1 u1) #s(literal 1 binary32))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(-.f32 (/.f32 (-.f32 (-.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) u1) u1)) u1) #s(literal 1 binary32))
(+ (* -1 (/ (+ (* -1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(.f32 (cos.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 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (+ (* -1/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* 1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal -3/8 binary32) (.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))))) (neg.f32 u1)))
(+ (* -1 (/ (+ (* -1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (+ (* 1/16 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (+ (* 1/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))) u1)) (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (+ (* -1/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) u1)) (* 1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(-.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 (-.f32 (.f32 (.f32 #s(literal 3/8 binary32) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal -5/16 binary32)) u1)) u1)) u1))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (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 (sqrt -1)) (+ (* -1 (/ (+ (sqrt -1) (+ (* -1/2 (sqrt -1)) (* -1/8 (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 #s(literal 3/8 binary32) (sqrt.f32 #s(literal -1 binary32))) u1)) u1))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (sqrt -1)) (+ (* -1 (/ (+ (sqrt -1) (+ (* -1 (/ (+ (* -1 (sqrt -1)) (+ (* 1/16 (sqrt -1)) (+ (* 1/8 (sqrt -1)) (* 1/2 (sqrt -1))))) u1)) (+ (* -1/2 (sqrt -1)) (* -1/8 (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 (.f32 #s(literal 3/8 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -5/16 binary32)) u1)) u1)) u1))
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(.f32 (cos.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 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal -3/8 binary32) (.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))))) (neg.f32 u1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 #s(literal 3/8 binary32) (sqrt.f32 #s(literal -1 binary32)) (.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 5/16 binary32)))) (neg.f32 u1))) (neg.f32 u1)))
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal -3/8 binary32) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1))
(+ (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 (fma.f32 #s(literal 3/8 binary32) (sqrt.f32 #s(literal -1 binary32)) (.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 5/16 binary32))) u1)) u1))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(sqrt.f32 u1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(-.f32 #s(literal 1 binary32) u1)
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1))
(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)) (neg.f32 u1))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1) u1))
(/.f32 (-.f32 (/.f32 (-.f32 (-.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) u1) u1)) u1) #s(literal 1 binary32)) (neg.f32 u1))
(* (pow u1 2) (- (* -1 (/ (- (/ 1 u1) 2) u1)) 1))
(fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) u1) #s(literal 1 binary32)) (*.f32 u1 u1) #s(literal -1 binary32))
(sqrt (/ (- (pow u1 2) u1) (* (- 1 u1) (- u1 1))))
(sqrt.f32 (/.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))
(+ (sqrt (/ (- (pow u1 2) u1) (* (- 1 u1) (- u1 1)))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ (- (pow u1 2) u1) (* (- 1 u1) (- u1 1)))))))
(.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))))
(+ (sqrt (/ (- (pow u1 2) u1) (* (- 1 u1) (- u1 1)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (- (pow u1 2) u1) (* (- 1 u1) (- u1 1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (- (pow u1 2) u1) (* (- 1 u1) (- u1 1)))))))))
(.f32 (sqrt.f32 (/.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (+.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (.f32 (.f32 u2 u2) (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)))))
(+ (sqrt (/ (- (pow u1 2) u1) (* (- 1 u1) (- u1 1)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (- (pow u1 2) u1) (* (- 1 u1) (- u1 1))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (- (pow u1 2) u1) (* (- 1 u1) (- u1 1)))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ (- (pow u1 2) u1) (* (- 1 u1) (- u1 1))))))))))
(fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (.f32 (sqrt.f32 (/.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))))
(sqrt (/ u1 (- 1 u1)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (- (pow u1 2) u1) (* (- 1 u1) (- u1 1)))))
(.f32 (sqrt.f32 (/.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))

rewrite188.0ms (2.2%)

Memory

-21.6MiB live, 336.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	272
0	82	237
1	301	227
2	2489	175
0	9857	172

Stop Event

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

Counts

24 → 2 475

Calls

Call 1

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

Outputs
(*.f32 (pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (pow.f32 u1 #s(literal 6 binary32)) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u1 (fma.f32 u1 u1 u1) (pow.f32 u1 #s(literal 4 binary32)))))
(*.f32 (pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 u1)))
(*.f32 (pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 binary32))) #s(literal -1 binary32)) (pow.f32 (fma.f32 u1 u1 u1) #s(literal -2 binary32)))
(.f32 (/.f32 (-.f32 #s(literal -1 binary32) u1) (expm1.f32 (.f32 (log.f32 u1) #s(literal 4 binary32)))) (/.f32 (neg.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -2 binary32))))
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1))
(*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (-.f32 #s(literal -1 binary32) u1) (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))
(*.f32 (/.f32 u1 #s(literal 1 binary32)) (exp.f32 (neg.f32 (log1p.f32 u1))))
(*.f32 (/.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))))
(*.f32 (/.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) u1)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1))
(*.f32 (/.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))
(.f32 (.f32 (/.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1)) (-.f32 #s(literal 1 binary32) u1))
(.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (.f32 (log.f32 u1) #s(literal 4 binary32)))) (pow.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -2 binary32)) (fma.f32 u1 u1 u1)) #s(literal -1 binary32)))
(*.f32 (/.f32 u1 (pow.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 (-.f32 #s(literal -1 binary32) u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -2 binary32))))
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32)))
(*.f32 (/.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal -1 binary32)))
(*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 #s(literal -1 binary32) u1))
(*.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) u1)) (exp.f32 (neg.f32 (log1p.f32 u1))))
(*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (pow.f32 (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (pow.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 u1 u1)) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 u1)) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 u1))
(*.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))
(*.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) (/.f32 (neg.f32 u1) (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) u1)
(*.f32 (fma.f32 u1 u1 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -2 binary32)))
(*.f32 (fma.f32 u1 u1 u1) (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))))
(*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 u1 #s(literal 1 binary32))))
(*.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (neg.f32 u1) (exp.f32 (neg.f32 (log1p.f32 u1))))
(*.f32 #s(literal -1 binary32) (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)))
(*.f32 (-.f32 #s(literal -1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
(*.f32 (-.f32 #s(literal -1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))))
(*.f32 #s(literal 1 binary32) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 u1 (exp.f32 (neg.f32 (log1p.f32 u1))))
(/.f32 (neg.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (fma.f32 u1 u1 #s(literal -1 binary32)))) (-.f32 #s(literal -1 binary32) u1))
(/.f32 (neg.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)))) (neg.f32 (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))
(/.f32 (neg.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u1))
(/.f32 (neg.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (neg.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (neg.f32 (.f32 u1 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)))) (neg.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1))))
(/.f32 (neg.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (neg.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) u1))))
(/.f32 (neg.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (neg.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (pow.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 u1 u1 u1))
(/.f32 (neg.f32 (*.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 binary32)) (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))))
(/.f32 (neg.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal 6 binary32)) (pow.f32 u1 #s(literal 3 binary32))) (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))))) (neg.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) (pow.f32 u1 #s(literal 4 binary32)))))
(/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32)))
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32)))) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) #s(literal 2 binary32)) (pow.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) #s(literal 2 binary32)))) (neg.f32 (fma.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))))))
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))))
(/.f32 (neg.f32 (-.f32 (/.f32 (pow.f32 u1 #s(literal 6 binary32)) (pow.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 3 binary32))) (pow.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) #s(literal 2 binary32)) (+.f32 (pow.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) #s(literal 2 binary32)) (.f32 (*.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))))))))
(/.f32 (neg.f32 (neg.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) u1)))) (-.f32 #s(literal 1 binary32) u1))
(/.f32 (neg.f32 (.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 binary32)) #s(literal 1 binary32))) (neg.f32 (.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(/.f32 (neg.f32 (.f32 (-.f32 (pow.f32 u1 #s(literal 6 binary32)) (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1 binary32))) (neg.f32 (.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) (pow.f32 u1 #s(literal 4 binary32))) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(/.f32 (neg.f32 (-.f32 (.f32 #s(literal 0 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 u1)))) (neg.f32 (pow.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 2 binary32))))
(/.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32))) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1))) (neg.f32 (pow.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 2 binary32))))
(/.f32 (neg.f32 (/.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -2 binary32))))
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal -1 binary32) u1)) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32)))
(/.f32 (-.f32 (.f32 (/.f32 (.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal -1 binary32) u1) (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)))) (fma.f32 u1 u1 #s(literal -1 binary32)))
(/.f32 (-.f32 (.f32 (/.f32 (.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 u1)) (pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal 3 binary32)))
(/.f32 (-.f32 (.f32 (/.f32 (.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)) (-.f32 #s(literal -1 binary32) u1)) (*.f32 (-.f32 #s(literal -1 binary32) u1) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 u1 u1 #s(literal 1 binary32)))
(/.f32 (-.f32 (.f32 (/.f32 (.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1)) (.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal 1 binary32))) (.f32 (-.f32 #s(literal -1 binary32) u1) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1)))
(/.f32 (-.f32 (.f32 (/.f32 (.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 u1 #s(literal -1 binary32))) (fma.f32 u1 u1 u1)) (*.f32 (-.f32 #s(literal -1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))
(/.f32 (-.f32 (.f32 (/.f32 (.f32 u1 u1) (-.f32 #s(literal -1 binary32) u1)) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)))) (fma.f32 u1 u1 #s(literal 1 binary32)))
(/.f32 (-.f32 (.f32 (/.f32 (.f32 u1 u1) (-.f32 #s(literal -1 binary32) u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 u1)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 3 binary32)))
(/.f32 (-.f32 (.f32 (/.f32 (.f32 u1 u1) (-.f32 #s(literal -1 binary32) u1)) (-.f32 #s(literal -1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 u1 u1 #s(literal -1 binary32)))
(/.f32 (-.f32 (.f32 (/.f32 (.f32 u1 u1) (-.f32 #s(literal -1 binary32) u1)) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1)))
(/.f32 (-.f32 (.f32 (/.f32 (.f32 u1 u1) (-.f32 #s(literal -1 binary32) u1)) (fma.f32 u1 u1 #s(literal -1 binary32))) (fma.f32 u1 u1 u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))
(/.f32 (-.f32 (.f32 (.f32 (neg.f32 u1) u1) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 3 binary32)))
(/.f32 (-.f32 (.f32 (.f32 (neg.f32 u1) u1) (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (neg.f32 u1))) (pow.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 (-.f32 (.f32 (.f32 (neg.f32 u1) u1) (-.f32 #s(literal -1 binary32) u1)) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal 3 binary32)))
(/.f32 (-.f32 (.f32 (.f32 (neg.f32 u1) u1) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1)))
(/.f32 (-.f32 (.f32 (.f32 (neg.f32 u1) u1) (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)) (expm1.f32 (.f32 (log.f32 u1) #s(literal 4 binary32))))
(/.f32 (-.f32 (-.f32 #s(literal 1 binary32) u1) (.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (.f32 u1 u1)) (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)))) (.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (.f32 u1 u1)) (neg.f32 u1))) (.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (.f32 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))))
(/.f32 (-.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1)) (.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (.f32 u1 u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (*.f32 u1 u1)) (-.f32 #s(literal -1 binary32) u1)))
(/.f32 (-.f32 (.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1)) (.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (.f32 u1 u1)) #s(literal 1 binary32))) (.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (*.f32 u1 u1)) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1)))
(/.f32 (-.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (.f32 u1 u1)) u1)) (.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (.f32 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))))
(/.f32 (-.f32 (.f32 (.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)))) (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (-.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (neg.f32 u1))) (expm1.f32 (.f32 (log.f32 u1) #s(literal 4 binary32))))
(/.f32 (-.f32 (.f32 (.f32 u1 u1) (-.f32 #s(literal -1 binary32) u1)) (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) u1)))
(/.f32 (-.f32 (.f32 (.f32 u1 u1) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1)) (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1)))
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(/.f32 (fma.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))
(/.f32 (fma.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (.f32 (fma.f32 u1 u1 u1) (neg.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32))))) (.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))
(/.f32 (fma.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) (neg.f32 (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)) (.f32 (fma.f32 u1 u1 u1) (neg.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1 binary32))))) (.f32 (fma.f32 u1 u1 u1) (neg.f32 (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1))))
(/.f32 (fma.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (.f32 (fma.f32 u1 u1 u1) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1 binary32)))) (.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))
(/.f32 (fma.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) (neg.f32 (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)) (.f32 (fma.f32 u1 u1 u1) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)))) (.f32 (fma.f32 u1 u1 u1) (neg.f32 (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1))))
(/.f32 (fma.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) u1) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (fma.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) u1) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal -1 binary32) u1)))
(/.f32 (fma.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) (/.f32 (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1 binary32))) (.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 u1) (/.f32 (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1 binary32)))))
(/.f32 (fma.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) (exp.f32 (neg.f32 (log1p.f32 u1))) (.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 u1) (exp.f32 (neg.f32 (log1p.f32 u1)))))
(/.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) u1)) (-.f32 #s(literal -1 binary32) u1))
(/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) u1)) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1))
(/.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) u1) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1 binary32))) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1))
(/.f32 (-.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal -1 binary32)) (+.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))
(/.f32 (neg.f32 (+.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal -1 binary32))) (neg.f32 (neg.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))))
(/.f32 (neg.f32 (+.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal -1 binary32))) (neg.f32 (neg.f32 (+.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal -1 binary32))) (+.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))
(/.f32 (neg.f32 (+.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal -1 binary32))) (+.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32)))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (neg.f32 (neg.f32 (-.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (-.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
(/.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 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) (.f32 #s(literal 1 binary32) (.f32 (neg.f32 u1) u1))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32)))) (neg.f32 (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 u1 #s(literal 4 binary32)) (.f32 #s(literal 1 binary32) (.f32 (neg.f32 u1) u1))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32)))) (neg.f32 (+.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32))))
(/.f32 (neg.f32 (pow.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 2 binary32))) (fma.f32 u1 u1 #s(literal -1 binary32)))
(/.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1 binary32))) (.f32 (-.f32 #s(literal -1 binary32) u1) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))
(/.f32 (.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (-.f32 #s(literal -1 binary32) u1)))
(/.f32 (pow.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1 binary32)) #s(literal 2 binary32)) (pow.f32 (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) #s(literal 2 binary32)))
(/.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))) (fma.f32 u1 u1 #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 u1 #s(literal 4 binary32)) (.f32 #s(literal 1 binary32) (.f32 (neg.f32 u1) u1)))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) (.f32 #s(literal 1 binary32) (.f32 (neg.f32 u1) u1)))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (+.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32)))
(/.f32 (+.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal -1 binary32)) (neg.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(/.f32 (+.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal -1 binary32)) (neg.f32 (+.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32))))
(/.f32 (pow.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 2 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))
(/.f32 (expm1.f32 (*.f32 (log.f32 u1) #s(literal 4 binary32))) (fma.f32 u1 u1 #s(literal -1 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (+.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))))))
(/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))))
(/.f32 #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)))))
(/.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) (pow.f32 u1 #s(literal 6 binary32)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(-.f32 (/.f32 (pow.f32 u1 #s(literal 6 binary32)) (+.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 #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) (neg.f32 (-.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (neg.f32 (-.f32 #s(literal -1 binary32) (.f32 u1 u1)))))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 u1 #s(literal 4 binary32)) (.f32 #s(literal 1 binary32) (.f32 (neg.f32 u1) u1))))) (/.f32 (pow.f32 u1 #s(literal 6 binary32)) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 u1 #s(literal 4 binary32)) (.f32 #s(literal 1 binary32) (.f32 (neg.f32 u1) u1))))))
(-.f32 (/.f32 (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 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -2 binary32)) (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32))) (/.f32 (pow.f32 u1 #s(literal 6 binary32)) (+.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32))))
(-.f32 #s(literal 0 binary32) (fma.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))
(-.f32 (*.f32 u1 u1) #s(literal -1 binary32))
(fma.f32 (exp.f32 (log.f32 u1)) (exp.f32 (log.f32 u1)) #s(literal 1 binary32))
(fma.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal -1 binary32)) u1 (-.f32 #s(literal 1 binary32) u1))
(fma.f32 (*.f32 (neg.f32 u1) u1) #s(literal -1 binary32) #s(literal 1 binary32))
(fma.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 u1)) (-.f32 #s(literal 1 binary32) u1))
(fma.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 binary32)) (pow.f32 (fma.f32 u1 u1 u1) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) u1))
(fma.f32 (-.f32 (pow.f32 u1 #s(literal 6 binary32)) (pow.f32 u1 #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 (fma.f32 u1 u1 u1) (pow.f32 u1 #s(literal 4 binary32)))) (-.f32 #s(literal 1 binary32) u1))
(fma.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1))
(fma.f32 (-.f32 #s(literal 1 binary32) u1) (neg.f32 u1) (-.f32 #s(literal 1 binary32) u1))
(fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 (-.f32 #s(literal 1 binary32) u1))
(fma.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1))
(fma.f32 (neg.f32 u1) (neg.f32 u1) #s(literal 1 binary32))
(fma.f32 (neg.f32 u1) (-.f32 #s(literal -1 binary32) u1) (-.f32 #s(literal 1 binary32) u1))
(fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))
(fma.f32 #s(literal -1 binary32) (*.f32 (neg.f32 u1) u1) #s(literal 1 binary32))
(fma.f32 #s(literal -1 binary32) (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) u1))
(fma.f32 #s(literal -1 binary32) (*.f32 u1 u1) #s(literal 1 binary32))
(fma.f32 (-.f32 #s(literal -1 binary32) u1) (neg.f32 u1) (-.f32 #s(literal 1 binary32) u1))
(fma.f32 (-.f32 #s(literal -1 binary32) u1) u1 (-.f32 #s(literal 1 binary32) u1))
(fma.f32 #s(literal 1 binary32) (*.f32 u1 u1) #s(literal 1 binary32))
(fma.f32 (*.f32 u1 u1) #s(literal -1 binary32) #s(literal 1 binary32))
(fma.f32 (*.f32 u1 u1) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 u1 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1))
(fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))
(fma.f32 u1 (-.f32 #s(literal -1 binary32) u1) (-.f32 #s(literal 1 binary32) u1))
(fma.f32 u1 u1 #s(literal 1 binary32))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (log1p.f32 u1))
(pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32)))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -2 binary32)) #s(literal -1 binary32))
(pow.f32 (neg.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32)))) #s(literal -1 binary32))
(pow.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) #s(literal -2 binary32))
(pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32))
(pow.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 1 binary32))
(pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal 2 binary32))
(+.f32 (*.f32 (neg.f32 u1) u1) #s(literal 1 binary32))
(+.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) u1))
(+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u1) u1))
(+.f32 #s(literal 1 binary32) (*.f32 u1 u1))
(+.f32 (*.f32 u1 u1) #s(literal 1 binary32))
(exp.f32 (+.f32 (log1p.f32 u1) (log1p.f32 u1)))
(exp.f32 (.f32 (.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 1 binary32)))
(exp.f32 (.f32 (log1p.f32 (.f32 u1 u1)) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log1p.f32 u1) #s(literal 2 binary32)))
(neg.f32 (fma.f32 u1 u1 #s(literal -1 binary32)))

eval140.0ms (1.7%)

Memory: 26.3MiB live, 294.2MiB allocated
Compiler: Compiled 41 060 to 6 111 computations (85.1% saved)

prune64.0ms (0.8%)

Memory

-1.5MiB live, 131.4MiB allocated

Pruning

44 alts after pruning (39 fresh and 5 done)

	Pruned	Kept	Total
New	1 188	22	1 210
Fresh	7	17	24
Picked	2	3	5
Done	1	2	3
Total	1 198	44	1 242

Accuracy

99.8%

Counts

1 242 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.7%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
▶	98.7%	(/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
	17.9%	(.f32 (/.f32 (sqrt.f32 (-.f32 (/.f32 (pow.f32 u1 #s(literal 6 binary32)) (pow.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 3 binary32))) (pow.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) #s(literal 3 binary32)))) (sqrt.f32 (+.f32 (pow.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) #s(literal 2 binary32)) (+.f32 (pow.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) #s(literal 2 binary32)) (.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	59.8%	(.f32 (/.f32 (neg.f32 (sqrt.f32 (fma.f32 u1 u1 u1))) (-.f32 #s(literal -1 binary32) u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.1%	(.f32 (.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	87.7%	(.f32 (.f32 (sqrt.f32 (neg.f32 #s(approx (/ -1 (- 1 u1)) (-.f32 #s(literal -1 binary32) u1)))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.6%	(.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 (neg.f32 (pow.f32 u1 #s(literal -3 binary32))) (+.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 0 binary32))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	99.0%	(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 u1 u1) u1) (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	98.9%	(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 (/.f32 (.f32 u1 u1) #s(literal -1 binary32)) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	59.3%	(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (/.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	58.2%	(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (/.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (exp.f32 (.f32 (log1p.f32 u1) #s(literal 2 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	99.2%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.8%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	88.0%	(.f32 (sqrt.f32 (.f32 #s(approx (/ -1 (- 1 u1)) (-.f32 #s(literal -1 binary32) u1)) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.3%	(.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	85.6%	(.f32 (exp.f32 (.f32 (log.f32 (.f32 (neg.f32 u1) #s(approx (/ -1 (- 1 u1)) (-.f32 #s(literal -1 binary32) u1)))) #s(literal 1/2 binary32))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	76.0%	(.f32 #s(approx (sqrt (/ (- ( u1 u1) u1) (* (- u1 1) (- 1 u1)))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	83.8%	#s(approx (* (sqrt (/ (- (* u1 u1) u1) (* (- u1 1) (- 1 u1)))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (+.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (.f32 (.f32 u2 u2) (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2))))))
	84.0%	#s(approx (* (sqrt (/ (- (* u1 u1) u1) (* (- u1 1) (- 1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))))
	64.5%	#s(approx (* (sqrt (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1)))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))))
	64.9%	#s(approx (* (sqrt (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))
	84.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	84.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)))
	83.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	83.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
	83.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	83.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (sqrt.f32 u1)))
	83.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))
	84.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))))
	66.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 u1 #s(literal 1 binary32) #s(literal 1 binary32)))))
	75.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (neg.f32 u1))))))
▶	64.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))))
	75.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) u1)))))
▶	63.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) u1))) (-.f32 #s(literal 1 binary32) u1)) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))))))
	75.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) u1) (.f32 (-.f32 #s(literal 1 binary32) u1) (.f32 u1 u1))) (fma.f32 u1 u1 #s(literal 1 binary32))))))
	83.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 u1 #s(literal -1 binary32))))))
	65.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1))))))
	50.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (/.f32 (-.f32 (.f32 (.f32 u1 u1) (-.f32 #s(literal -1 binary32) u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal -1 binary32) u1)))) (fma.f32 u1 u1 #s(literal -1 binary32)))))))
	65.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (-.f32 u1 #s(literal 1 binary32))))))
	66.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) #s(approx (+ ( -1 u1) -1) #s(literal -1 binary32))))))
▶	65.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))))
✓	84.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
	66.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))))
✓	66.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))

Compiler

Compiled 2 151 to 1 611 computations (25.1% saved)

simplify113.0ms (1.3%)

Memory

12.3MiB live, 123.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
cost-diff	0	(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
cost-diff	0	(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
cost-diff	0	(/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
cost-diff	64	(neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) u1)))
cost-diff	96	(fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))
cost-diff	544	(/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) u1))) (-.f32 #s(literal 1 binary32) u1))
cost-diff	704	(/.f32 (/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) u1))) (-.f32 #s(literal 1 binary32) u1)) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))
cost-diff	0	(/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))
cost-diff	0	(sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))
cost-diff	0	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))))
cost-diff	192	(/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))
cost-diff	0	(-.f32 u1 #s(literal -1 binary32))
cost-diff	0	(/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))
cost-diff	0	(sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))))
cost-diff	0	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))))
cost-diff	256	(*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1))
cost-diff	288	(/.f32 (*.f32 u1 u1) #s(literal -1 binary32))
cost-diff	512	(/.f32 (-.f32 (.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 (/.f32 (.f32 u1 u1) #s(literal -1 binary32)) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))
cost-diff	576	(.f32 (/.f32 (.f32 u1 u1) #s(literal -1 binary32)) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	50	424
0	86	343
1	149	335
2	367	323
3	1602	273
4	6658	273
0	8489	273

Stop Event

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

Calls

Call 1

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

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

localize135.0ms (1.6%)

Memory

-22.0MiB live, 176.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.13671875	(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
accuracy	0.16015625	(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
accuracy	0.3125	(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
accuracy	0.33822250976844204	(/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
accuracy	0.42578125	(/.f32 (/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) u1))) (-.f32 #s(literal 1 binary32) u1)) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))
accuracy	4.142246512012775	(fma.f32 u1 u1 #s(literal -1 binary32))
accuracy	7.910692640553884	(fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))
accuracy	11.197777908354011	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) u1))) (-.f32 #s(literal 1 binary32) u1)) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))))))
accuracy	0.23046875	(/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))
accuracy	0.32421875	(/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))
accuracy	3.784159665260866	(fma.f32 u1 u1 #s(literal 1 binary32))
accuracy	11.243649365143357	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))))
accuracy	0	(-.f32 u1 #s(literal -1 binary32))
accuracy	0.08984375	(sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))))
accuracy	0.29296875	(/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))
accuracy	11.197777908354011	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))))
accuracy	0.3125	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.33203125	(/.f32 (-.f32 (.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 (/.f32 (.f32 u1 u1) #s(literal -1 binary32)) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))
accuracy	0.387382519536884	(.f32 (/.f32 (.f32 u1 u1) #s(literal -1 binary32)) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
accuracy	0.39453125	(*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))

Samples

98.0ms	253×	0	valid
1.0ms	3×	1	valid

Compiler

Compiled 824 to 101 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-div: 26.0ms (31.7% of total)

const: 15.0ms (18.3% of total)

ival-mult: 14.0ms (17.1% of total)

ival-sqrt: 9.0ms (11% of total)

ival-sub: 6.0ms (7.3% of total)

ival-cos: 5.0ms (6.1% of total)

ival-add: 4.0ms (4.9% of total)

ival-neg: 1.0ms (1.2% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory

23.9MiB live, 23.9MiB allocated

Counts

26 → 115

Calls

Call 1

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

Outputs
u1
(* u1 (+ 1 (* -1 u1)))
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(* -1 (pow u1 2))
0
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(sqrt u1)
(+ (sqrt u1) (* -1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* 1/2 (sqrt u1)))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 u1))))) (* 1/2 (sqrt (/ 1 u1))))))))
(* u1 (+ 1 (* u1 (- u1 1))))
(* u1 (+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1))))
1
(+ 1 u1)
(* u1 (+ 1 (* u1 (- (* -1 u1) 1))))
(* u1 (+ 1 (* u1 (- (* u1 (- u1 1)) 1))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt u1)) (* -1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(+ 1 (* u1 (+ 1 (* 2 u1))))
(+ 1 (* u1 (+ 1 (* u1 (+ 2 (* 2 u1))))))
-1
(- (* -2 u1) 1)
(- (* u1 (- (* -1 u1) 2)) 1)
(- (* -1 u1) 1)
(- (* u1 (- u1 1)) 1)
(- (* u1 (- (* u1 (+ 1 u1)) 1)) 1)
(sqrt (/ 1 u1))
(/ (+ (sqrt u1) (* -1/2 (sqrt (pow u1 3)))) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/8 (sqrt u1))))) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (* -1/16 (sqrt (/ 1 u1)))))))) u1)
(- (* 2 u1) 1)
(- (* u1 (+ 2 (* -1 u1))) 1)
(+ 1 (pow u1 2))
(- (pow u1 2) 1)
(/ 1 u1)
(/ (+ 1 (* -1 u1)) u1)
(* (pow u1 2) (- (/ 1 u1) 1))
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(- 1 (* 1/2 (/ 1 u1)))
(- (+ 1 (/ 3/8 (pow u1 2))) (* 1/2 (/ 1 u1)))
(- (+ 1 (/ 3/8 (pow u1 2))) (+ (* 1/2 (/ 1 u1)) (* 5/16 (/ 1 (pow u1 3)))))
(- 1 (/ 1 u1))
(- (+ 1 (/ 1 (pow u1 2))) (/ 1 u1))
(- (+ 1 (/ 1 (pow u1 2))) (+ (/ 1 u1) (/ 1 (pow u1 3))))
(* u1 (+ 1 (/ 1 u1)))
(- (/ 1 u1) 1)
(- (+ (/ 1 u1) (/ 1 (pow u1 2))) 1)
(- (+ (/ 1 u1) (/ 1 (pow u1 2))) (+ 1 (/ 1 (pow u1 3))))
(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 (* 1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))) (+ (* 1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (/ 1/2 (* u1 (sqrt -1))))))
(* -1 u1)
(* -1 (* u1 (+ 1 (/ 1 u1))))
(* u1 (- (* -1 (/ (+ 1 (* 2 (/ 1 u1))) u1)) 1))
(* u1 (- (* -1 (/ (+ 2 (* 2 (/ 1 u1))) (pow u1 2))) (+ 1 (/ 1 u1))))
(* -1 (* (pow u1 2) (+ 1 (* 2 (/ 1 u1)))))
(* (pow u1 2) (- (* -1 (/ (+ 2 (/ 1 u1)) u1)) 1))
(pow u1 3)
(* (pow u1 3) (+ 1 (/ 1 u1)))
(* (pow u1 3) (- (+ 1 (/ 1 u1)) (/ 1 (pow u1 2))))
(* (pow u1 3) (+ 1 (+ (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (/ 1 u1))))
(- (+ (sqrt -1) (/ 1/2 (* u1 (sqrt -1)))) (/ 1/8 (* (pow u1 2) (pow (sqrt -1) 3))))
(- (+ (sqrt -1) (+ (/ 1/2 (* u1 (sqrt -1))) (* 1/16 (/ 1 (* (pow u1 3) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow u1 2) (pow (sqrt -1) 3)))))
(* (pow u1 2) (- (* 2 (/ 1 u1)) 1))
(* (pow u1 2) (- (* 2 (/ 1 u1)) (+ 1 (/ 1 (pow u1 2)))))
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 (pow u1 2))))
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(pow (sqrt -1) 2)
(+ (* 1/2 (/ 1 u1)) (pow (sqrt -1) 2))
(+ (* -1 (/ (- (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) u1)) 1/2) u1)) (pow (sqrt -1) 2))
(+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* 1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) u1))) u1)) 1/2) u1)) (pow (sqrt -1) 2))
(+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) u1)))
(- (* -1 (/ (- (* -1 (/ (- 1 (/ 1 u1)) u1)) 1) u1)) 1)
(+ (sqrt -1) (* -1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* 1/2 (sqrt -1)) (* 5/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -5/8 (sqrt -1)) (* 3/16 (/ (sqrt -1) u1))) u1)) (* 1/2 (sqrt -1))) u1)))
(* -1 (* u1 (+ 1 (+ (/ 1 u1) (/ 2 (pow u1 2))))))
(* -1 (* u1 (+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 u1))) u1)) 1) u1)))))
(* -1 (* (pow u1 3) (- (* -1 (/ (- 1 (/ 1 u1)) u1)) 1)))
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 u1)) u1))) u1)) 1)))
(/ (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1))))) u1)) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* 3/8 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (sqrt -1) (* -1 (/ (+ (* 1/8 (/ (sqrt -1) u1)) (* 1/2 (sqrt -1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt -1)) (* -1/16 (/ (sqrt -1) u1))) u1)) (* 1/2 (sqrt -1))) u1)))
(* (pow u1 2) (- (* -1 (/ (- (/ 1 u1) 2) u1)) 1))
(sqrt (/ u1 (- 1 u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))
(+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))
(+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))
(* 314159265359/50000000000 u2)
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(cos (* 314159265359/50000000000 u2))

Calls

9 calls:

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

simplify167.0ms (2%)

Memory

-0.2MiB live, 187.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	422	1699
1	1231	1533
2	3642	1397
0	8918	1320

Stop Event

1×	iter limit
1×	node limit

Counts

115 → 114

Calls

Call 1

Inputs
u1
(* u1 (+ 1 (* -1 u1)))
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(* -1 (pow u1 2))
0
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(sqrt u1)
(+ (sqrt u1) (* -1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* 1/2 (sqrt u1)))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 u1))))) (* 1/2 (sqrt (/ 1 u1))))))))
(* u1 (+ 1 (* u1 (- u1 1))))
(* u1 (+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1))))
1
(+ 1 u1)
(* u1 (+ 1 (* u1 (- (* -1 u1) 1))))
(* u1 (+ 1 (* u1 (- (* u1 (- u1 1)) 1))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt u1)) (* -1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(+ 1 (* u1 (+ 1 (* 2 u1))))
(+ 1 (* u1 (+ 1 (* u1 (+ 2 (* 2 u1))))))
-1
(- (* -2 u1) 1)
(- (* u1 (- (* -1 u1) 2)) 1)
(- (* -1 u1) 1)
(- (* u1 (- u1 1)) 1)
(- (* u1 (- (* u1 (+ 1 u1)) 1)) 1)
(sqrt (/ 1 u1))
(/ (+ (sqrt u1) (* -1/2 (sqrt (pow u1 3)))) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/8 (sqrt u1))))) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (* -1/16 (sqrt (/ 1 u1)))))))) u1)
(- (* 2 u1) 1)
(- (* u1 (+ 2 (* -1 u1))) 1)
(+ 1 (pow u1 2))
(- (pow u1 2) 1)
(/ 1 u1)
(/ (+ 1 (* -1 u1)) u1)
(* (pow u1 2) (- (/ 1 u1) 1))
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(- 1 (* 1/2 (/ 1 u1)))
(- (+ 1 (/ 3/8 (pow u1 2))) (* 1/2 (/ 1 u1)))
(- (+ 1 (/ 3/8 (pow u1 2))) (+ (* 1/2 (/ 1 u1)) (* 5/16 (/ 1 (pow u1 3)))))
(- 1 (/ 1 u1))
(- (+ 1 (/ 1 (pow u1 2))) (/ 1 u1))
(- (+ 1 (/ 1 (pow u1 2))) (+ (/ 1 u1) (/ 1 (pow u1 3))))
(* u1 (+ 1 (/ 1 u1)))
(- (/ 1 u1) 1)
(- (+ (/ 1 u1) (/ 1 (pow u1 2))) 1)
(- (+ (/ 1 u1) (/ 1 (pow u1 2))) (+ 1 (/ 1 (pow u1 3))))
(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 (* 1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))) (+ (* 1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (/ 1/2 (* u1 (sqrt -1))))))
(* -1 u1)
(* -1 (* u1 (+ 1 (/ 1 u1))))
(* u1 (- (* -1 (/ (+ 1 (* 2 (/ 1 u1))) u1)) 1))
(* u1 (- (* -1 (/ (+ 2 (* 2 (/ 1 u1))) (pow u1 2))) (+ 1 (/ 1 u1))))
(* -1 (* (pow u1 2) (+ 1 (* 2 (/ 1 u1)))))
(* (pow u1 2) (- (* -1 (/ (+ 2 (/ 1 u1)) u1)) 1))
(pow u1 3)
(* (pow u1 3) (+ 1 (/ 1 u1)))
(* (pow u1 3) (- (+ 1 (/ 1 u1)) (/ 1 (pow u1 2))))
(* (pow u1 3) (+ 1 (+ (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (/ 1 u1))))
(- (+ (sqrt -1) (/ 1/2 (* u1 (sqrt -1)))) (/ 1/8 (* (pow u1 2) (pow (sqrt -1) 3))))
(- (+ (sqrt -1) (+ (/ 1/2 (* u1 (sqrt -1))) (* 1/16 (/ 1 (* (pow u1 3) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow u1 2) (pow (sqrt -1) 3)))))
(* (pow u1 2) (- (* 2 (/ 1 u1)) 1))
(* (pow u1 2) (- (* 2 (/ 1 u1)) (+ 1 (/ 1 (pow u1 2)))))
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 (pow u1 2))))
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(pow (sqrt -1) 2)
(+ (* 1/2 (/ 1 u1)) (pow (sqrt -1) 2))
(+ (* -1 (/ (- (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) u1)) 1/2) u1)) (pow (sqrt -1) 2))
(+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* 1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) u1))) u1)) 1/2) u1)) (pow (sqrt -1) 2))
(+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) u1)))
(- (* -1 (/ (- (* -1 (/ (- 1 (/ 1 u1)) u1)) 1) u1)) 1)
(+ (sqrt -1) (* -1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* 1/2 (sqrt -1)) (* 5/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -5/8 (sqrt -1)) (* 3/16 (/ (sqrt -1) u1))) u1)) (* 1/2 (sqrt -1))) u1)))
(* -1 (* u1 (+ 1 (+ (/ 1 u1) (/ 2 (pow u1 2))))))
(* -1 (* u1 (+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 u1))) u1)) 1) u1)))))
(* -1 (* (pow u1 3) (- (* -1 (/ (- 1 (/ 1 u1)) u1)) 1)))
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 u1)) u1))) u1)) 1)))
(/ (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1))))) u1)) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* 3/8 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (sqrt -1) (* -1 (/ (+ (* 1/8 (/ (sqrt -1) u1)) (* 1/2 (sqrt -1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt -1)) (* -1/16 (/ (sqrt -1) u1))) u1)) (* 1/2 (sqrt -1))) u1)))
(* (pow u1 2) (- (* -1 (/ (- (/ 1 u1) 2) u1)) 1))
(sqrt (/ u1 (- 1 u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))
(+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))
(+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))
(* 314159265359/50000000000 u2)
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(cos (* 314159265359/50000000000 u2))

Outputs
u1
(* u1 (+ 1 (* -1 u1)))
(*.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(* u1 (+ 1 u1))
(fma.f32 u1 u1 u1)
(* u1 (+ 1 (* u1 (+ 1 u1))))
(fma.f32 (fma.f32 u1 u1 u1) u1 u1)
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)
(* -1 (pow u1 2))
(*.f32 (neg.f32 u1) u1)
0
#s(literal 0 binary32)
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1)))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(fma.f32 (.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (.f32 u1 u1)) (.f32 #s(literal 1/2 binary32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(fma.f32 (.f32 (.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) #s(literal 1/2 binary32)) (pow.f32 u1 #s(literal 3 binary32)) (.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fma.f32 (.f32 u1 u1) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (sqrt.f32 u1))))
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* -1/2 (sqrt (pow u1 3))))
(fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* 1/2 (sqrt u1)))))
(fma.f32 (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal 1/2 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 u1))))) (* 1/2 (sqrt (/ 1 u1))))))))
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(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* 3/8 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(-.f32 (/.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 #s(literal -1 binary32))) #s(literal -1/2 binary32) (/.f32 (.f32 (/.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 #s(literal -1 binary32))) (+.f32 #s(literal 3/8 binary32) (/.f32 #s(literal 5/16 binary32) u1))) (neg.f32 u1))) u1))
(+ (sqrt -1) (* -1 (/ (+ (* 1/8 (/ (sqrt -1) u1)) (* 1/2 (sqrt -1))) u1)))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/8 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32))) u1))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt -1)) (* -1/16 (/ (sqrt -1) u1))) u1)) (* 1/2 (sqrt -1))) u1)))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (-.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) (/.f32 (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal -1/16 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1/8 binary32))) u1)) u1))
(* (pow u1 2) (- (* -1 (/ (- (/ 1 u1) 2) u1)) 1))
(fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) u1) #s(literal 1 binary32)) (*.f32 u1 u1) #s(literal -1 binary32))
(sqrt (/ u1 (- 1 u1)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))
(fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))
(+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))
(fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 1 binary32))
(+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))
(fma.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(cos (* 314159265359/50000000000 u2))
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))

rewrite187.0ms (2.2%)

Memory

1.9MiB live, 236.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	254
0	79	210
1	310	204
2	2735	190
0	9372	185

Stop Event

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

Counts

26 → 1 416

Calls

Call 1

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

Outputs
(.f32 (.f32 (/.f32 (-.f32 #s(literal -1 binary32) u1) u1) u1) (neg.f32 u1))
(.f32 (/.f32 (.f32 u1 u1) u1) (-.f32 #s(literal 1 binary32) u1))
(.f32 (.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) u1))
(.f32 (pow.f32 (/.f32 (.f32 u1 (fma.f32 u1 u1 u1)) u1) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) u1)))
(.f32 (pow.f32 (/.f32 (.f32 u1 (fma.f32 u1 u1 u1)) u1) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) u1) #s(literal -2 binary32)))
(.f32 (.f32 u1 (fma.f32 u1 u1 u1)) (/.f32 #s(literal -1 binary32) u1))
(.f32 (.f32 u1 (fma.f32 u1 u1 u1)) (/.f32 #s(literal 1 binary32) u1))
(.f32 (/.f32 (.f32 u1 (fma.f32 u1 u1 u1)) u1) #s(literal -1 binary32))
(.f32 (/.f32 (-.f32 #s(literal -1 binary32) u1) u1) (.f32 (neg.f32 u1) u1))
(.f32 (/.f32 (-.f32 #s(literal -1 binary32) u1) u1) (.f32 u1 u1))
(.f32 (-.f32 #s(literal -1 binary32) u1) (.f32 (/.f32 #s(literal 1 binary32) u1) (*.f32 (neg.f32 u1) u1)))
(.f32 (.f32 (neg.f32 u1) u1) (/.f32 (-.f32 #s(literal -1 binary32) u1) u1))
(.f32 #s(literal -1 binary32) (/.f32 (.f32 u1 (fma.f32 u1 u1 u1)) u1))
(.f32 (.f32 u1 u1) (/.f32 (-.f32 #s(literal -1 binary32) u1) u1))
(.f32 u1 (.f32 (neg.f32 u1) (/.f32 (-.f32 #s(literal -1 binary32) u1) u1)))
(.f32 u1 (.f32 u1 (/.f32 (-.f32 #s(literal -1 binary32) u1) u1)))
(/.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (.f32 (neg.f32 u1) u1))) (neg.f32 (*.f32 (neg.f32 u1) #s(literal 1 binary32))))
(/.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (.f32 (neg.f32 u1) u1))) u1)
(/.f32 (neg.f32 (.f32 (/.f32 (-.f32 #s(literal -1 binary32) u1) u1) #s(literal 1 binary32))) (neg.f32 (/.f32 #s(literal -1 binary32) (.f32 u1 u1))))
(/.f32 (neg.f32 (.f32 (.f32 (neg.f32 u1) u1) (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (*.f32 #s(literal 1 binary32) (neg.f32 u1))))
(/.f32 (neg.f32 (.f32 (.f32 (neg.f32 u1) u1) (-.f32 #s(literal 1 binary32) u1))) u1)
(/.f32 (neg.f32 (neg.f32 (.f32 (.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)))) (neg.f32 u1))
(/.f32 (neg.f32 (neg.f32 (.f32 (.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)))) u1)
(/.f32 (neg.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 u1 u1)))) (neg.f32 u1))
(/.f32 (neg.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 u1 u1)))) u1)
(/.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (.f32 u1 u1))) (neg.f32 u1))
(/.f32 (neg.f32 (.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal 1 binary32))) (neg.f32 (.f32 u1 (/.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))
(/.f32 (neg.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1))) (neg.f32 (.f32 (/.f32 #s(literal -1 binary32) (*.f32 u1 u1)) u1)))
(/.f32 (-.f32 (.f32 #s(literal 0 binary32) (pow.f32 (/.f32 (.f32 u1 (fma.f32 u1 u1 u1)) u1) #s(literal 2 binary32))) (.f32 (pow.f32 (/.f32 (.f32 u1 (fma.f32 u1 u1 u1)) u1) #s(literal 2 binary32)) (pow.f32 (/.f32 (.f32 u1 (fma.f32 u1 u1 u1)) u1) #s(literal 3 binary32)))) (pow.f32 (/.f32 (.f32 u1 (fma.f32 u1 u1 u1)) u1) #s(literal 4 binary32)))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (.f32 (neg.f32 u1) u1)) (*.f32 (neg.f32 u1) #s(literal 1 binary32)))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (.f32 (neg.f32 u1) u1)) (neg.f32 u1))
(/.f32 (.f32 (/.f32 (-.f32 #s(literal -1 binary32) u1) u1) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (.f32 u1 u1)))
(/.f32 (.f32 (.f32 (neg.f32 u1) u1) (-.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 1 binary32) (neg.f32 u1)))
(/.f32 (.f32 (.f32 (neg.f32 u1) u1) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))
(/.f32 (neg.f32 (.f32 (.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1))) (neg.f32 u1))
(/.f32 (neg.f32 (.f32 (.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1))) u1)
(/.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 u1 u1))) (neg.f32 u1))
(/.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 u1 u1))) u1)
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (.f32 u1 u1)) u1)
(/.f32 (.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal 1 binary32)) (.f32 u1 (/.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(/.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1)) (.f32 (/.f32 #s(literal -1 binary32) (*.f32 u1 u1)) u1))
(/.f32 (.f32 (.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))
(/.f32 (.f32 (.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)) u1)
(/.f32 (pow.f32 (/.f32 (.f32 u1 (fma.f32 u1 u1 u1)) u1) #s(literal 2 binary32)) (/.f32 (.f32 u1 (fma.f32 u1 u1 u1)) u1))
(/.f32 (pow.f32 (/.f32 (.f32 u1 (fma.f32 u1 u1 u1)) u1) #s(literal 3 binary32)) (neg.f32 (+.f32 #s(literal 0 binary32) (-.f32 (pow.f32 (/.f32 (.f32 u1 (fma.f32 u1 u1 u1)) u1) #s(literal 2 binary32)) #s(literal 0 binary32)))))
(/.f32 (pow.f32 (/.f32 (.f32 u1 (fma.f32 u1 u1 u1)) u1) #s(literal 3 binary32)) (+.f32 #s(literal 0 binary32) (-.f32 (pow.f32 (/.f32 (.f32 u1 (fma.f32 u1 u1 u1)) u1) #s(literal 2 binary32)) #s(literal 0 binary32))))
(/.f32 (pow.f32 (/.f32 (.f32 u1 (fma.f32 u1 u1 u1)) u1) #s(literal 3 binary32)) (pow.f32 (/.f32 (.f32 u1 (fma.f32 u1 u1 u1)) u1) #s(literal 2 binary32)))
(/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (neg.f32 u1))
(/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) u1)
(/.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) u1) #s(literal 1 binary32))
(/.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) u1) #s(literal -1 binary32))
(/.f32 (-.f32 #s(literal 1 binary32) u1) (.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (.f32 u1 u1))))
(/.f32 (-.f32 #s(literal 1 binary32) u1) (.f32 (/.f32 #s(literal -1 binary32) (.f32 u1 u1)) (neg.f32 u1)))
(/.f32 (/.f32 (-.f32 #s(literal -1 binary32) u1) u1) (neg.f32 (/.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) (neg.f32 (.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (.f32 u1 u1)))))
(/.f32 (-.f32 #s(literal -1 binary32) u1) (neg.f32 (.f32 (/.f32 #s(literal -1 binary32) (.f32 u1 u1)) (neg.f32 u1))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 u1 (fma.f32 u1 u1 u1)) u1) (pow.f32 (/.f32 (.f32 u1 (fma.f32 u1 u1 u1)) u1) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (/.f32 (.f32 u1 (fma.f32 u1 u1 u1)) u1) #s(literal 2 binary32)) (pow.f32 (/.f32 (.f32 u1 (fma.f32 u1 u1 u1)) u1) #s(literal 3 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) u1)))
(/.f32 #s(literal 1 binary32) (/.f32 u1 (.f32 (.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 u1) (*.f32 u1 (fma.f32 u1 u1 u1))))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal -1 binary32) (.f32 u1 u1))))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal -1 binary32) (.f32 u1 u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (.f32 (neg.f32 u1) u1) (neg.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32))))
(/.f32 (.f32 (neg.f32 u1) u1) (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)))
(/.f32 (*.f32 (neg.f32 u1) u1) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (.f32 u1 (fma.f32 u1 u1 u1)) u1) (pow.f32 (/.f32 (.f32 u1 (fma.f32 u1 u1 u1)) u1) #s(literal 2 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (pow.f32 (/.f32 (.f32 u1 (fma.f32 u1 u1 u1)) u1) #s(literal 2 binary32)) (pow.f32 (/.f32 (.f32 u1 (fma.f32 u1 u1 u1)) u1) #s(literal 3 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) u1))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 u1 (.f32 (.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (neg.f32 u1) (*.f32 u1 (fma.f32 u1 u1 u1)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal -1 binary32) (.f32 u1 u1)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (.f32 (/.f32 #s(literal -1 binary32) (.f32 u1 u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (.f32 u1 u1) (neg.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))))
(/.f32 (.f32 u1 u1) (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32)))
(/.f32 (*.f32 u1 u1) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
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(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1 binary32))
(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (-.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))) (neg.f32 u1)) (/.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (fma.f32 u1 (-.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))) (neg.f32 u1)))
(-.f32 (/.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (fma.f32 u1 (-.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))) (neg.f32 u1)) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (-.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))) (neg.f32 u1)))
(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1)) (/.f32 (/.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1)))
(-.f32 (/.f32 (/.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1)) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1)))
(-.f32 (/.f32 u1 (neg.f32 u1)) (/.f32 #s(literal -1 binary32) u1))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 u1)) (/.f32 (-.f32 #s(literal -1 binary32) u1) u1))
(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal 1 binary32))
(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1) (/.f32 (/.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)) u1))
(-.f32 (/.f32 #s(literal -1 binary32) u1) (/.f32 u1 (neg.f32 u1)))
(-.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 u1 (neg.f32 u1)))
(-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1))
(-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))
(fma.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal -1 binary32) #s(literal -1 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 #s(literal -1 binary32) u1) u1) #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))
(+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))
(exp.f32 (*.f32 (-.f32 (log.f32 u1) (log1p.f32 u1)) #s(literal -1 binary32)))
(neg.f32 (/.f32 (-.f32 #s(literal -1 binary32) u1) u1))

eval123.0ms (1.5%)

Memory: 12.1MiB live, 244.2MiB allocated
Compiler: Compiled 33 944 to 5 430 computations (84% saved)

prune90.0ms (1.1%)

Memory

-9.1MiB live, 151.9MiB allocated

Pruning

61 alts after pruning (54 fresh and 7 done)

	Pruned	Kept	Total
New	1 124	28	1 152
Fresh	8	26	34
Picked	3	2	5
Done	0	5	5
Total	1 135	61	1 196

Accuracy

99.9%

Counts

1 196 → 61

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.7%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	98.5%	(/.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (/.f32 (sqrt.f32 (-.f32 u1 (.f32 u1 u1))) (sqrt.f32 (*.f32 u1 u1))))
	98.7%	(/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	98.4%	(/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 (pow.f32 u1 #s(literal -3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 u1 #s(literal -2 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))))))
	98.6%	(/.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 u1 (.f32 u1 u1)) (*.f32 u1 u1))))
	98.7%	(/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
	75.8%	(/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 #s(approx (/ (- 1 u1) u1) (/.f32 #s(literal 1 binary32) u1))))
	65.9%	(/.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (exp.f32 (.f32 (-.f32 (log1p.f32 u1) (log.f32 u1)) #s(literal 1/2 binary32))))
	83.2%	(/.f32 #s(approx (cos (* u2 314159265359/50000000000)) (fma.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
	83.6%	(/.f32 #s(approx (cos (* u2 314159265359/50000000000)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
	17.9%	(.f32 (/.f32 (sqrt.f32 (-.f32 (/.f32 (pow.f32 u1 #s(literal 6 binary32)) (pow.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 3 binary32))) (pow.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) #s(literal 3 binary32)))) (sqrt.f32 (+.f32 (pow.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) #s(literal 2 binary32)) (+.f32 (pow.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) #s(literal 2 binary32)) (.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	59.6%	(.f32 (/.f32 (neg.f32 (sqrt.f32 (fma.f32 u1 u1 u1))) (-.f32 #s(literal -1 binary32) u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.3%	(.f32 (/.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
	87.7%	(.f32 (.f32 (sqrt.f32 (neg.f32 #s(approx (/ -1 (- 1 u1)) (-.f32 #s(literal -1 binary32) u1)))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.6%	(.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 (neg.f32 (pow.f32 u1 #s(literal -3 binary32))) (+.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 0 binary32))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	99.0%	(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 u1 u1) u1) (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	59.4%	(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (/.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	58.5%	(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (/.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (exp.f32 (.f32 (log1p.f32 u1) #s(literal 2 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	99.2%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.8%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	88.0%	(.f32 (sqrt.f32 (.f32 #s(approx (/ -1 (- 1 u1)) (-.f32 #s(literal -1 binary32) u1)) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	62.8%	(.f32 (sqrt.f32 #s(approx (/ (- ( 0 (- 1 u1)) (* (/ (* u1 u1) -1) (/ (- u1 1) u1))) (* (- u1 1) (- 1 u1))) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	85.6%	(.f32 (exp.f32 (.f32 (log.f32 (.f32 (neg.f32 u1) #s(approx (/ -1 (- 1 u1)) (-.f32 #s(literal -1 binary32) u1)))) #s(literal 1/2 binary32))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	76.0%	(.f32 #s(approx (sqrt (/ (- ( u1 u1) u1) (* (- u1 1) (- 1 u1)))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	84.0%	#s(approx (* (sqrt (/ (- (* u1 u1) u1) (* (- u1 1) (- 1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))))
	63.8%	#s(approx (* (sqrt (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1)))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))))
	64.9%	#s(approx (* (sqrt (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))
	84.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	75.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 (.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))))
	83.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	83.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
	83.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	83.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (sqrt.f32 u1)))
	64.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 u1)))
	83.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))
	84.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))))
	83.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) u1))))
	66.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 u1 #s(literal 1 binary32) #s(literal 1 binary32)))))
	75.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (neg.f32 u1))))))
	66.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (/.f32 (/.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (-.f32 #s(literal -1 binary32) u1)) (-.f32 #s(literal 1 binary32) u1)) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))))))
✓	63.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) u1))) (-.f32 #s(literal 1 binary32) u1)) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))))))
	63.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) u1))) (-.f32 #s(literal 1 binary32) u1)) (-.f32 u1 #s(literal 1 binary32))))))
	65.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (-.f32 #s(literal -1 binary32) u1) (*.f32 u1 (fma.f32 u1 u1 u1))) (fma.f32 u1 u1 #s(literal -1 binary32))))))
	64.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) u1)))))
	83.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 u1 #s(literal -1 binary32))))))
	48.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (/.f32 (-.f32 (.f32 (.f32 u1 u1) (-.f32 #s(literal -1 binary32) u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal -1 binary32) u1)))) (fma.f32 u1 u1 #s(literal -1 binary32)))))))
	66.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) #s(approx (+ ( -1 u1) -1) #s(literal -1 binary32))))))
	64.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 #s(approx (/ (neg (* (+ (* u1 u1) -1) (- -1 u1))) (- 1 u1)) (.f32 (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) u1)) u1) u1)) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))))))
	16.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 #s(approx (/ (neg (* (+ (* u1 u1) -1) (- -1 u1))) (- 1 u1)) (*.f32 (neg.f32 u1) (fma.f32 (/.f32 #s(literal 2 binary32) u1) u1 u1))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))))))
	64.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 #s(approx (+ (* u1 u1) 1) (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1)))))
	74.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1))))))
✓	65.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))))
✓	84.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
	75.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1)))))
	65.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal -1 binary32) u1) u1))))
	75.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 #s(literal -1 binary32) u1))))
	83.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
	3.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- u1 -1))) (-.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 3/8 binary32) u1) #s(literal 1/2 binary32)) u1))))
	4.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- u1 -1))) #s(literal -1 binary32)))
	66.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))))
✓	66.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))

Compiler

Compiled 3 693 to 1 648 computations (55.4% saved)

regimes213.0ms (2.5%)

Memory

25.9MiB live, 343.6MiB allocated

Counts

91 → 1

Calls

Call 1

Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- u1 -1))) #s(literal -1 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
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(.f32 (exp.f32 (.f32 (log.f32 (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (.f32 (exp.f32 (log.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 (pow.f32 u1 #s(literal -3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 u1 #s(literal -2 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))))))
(.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 (neg.f32 (pow.f32 u1 #s(literal -3 binary32))) (+.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 0 binary32))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (/.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (exp.f32 (.f32 (log1p.f32 u1) #s(literal 2 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (exp.f32 (.f32 (-.f32 (log1p.f32 u1) (log.f32 u1)) #s(literal 1/2 binary32))))
(.f32 (exp.f32 (.f32 (log.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -2 binary32))) #s(literal 1/4 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (/.f32 (sqrt.f32 (-.f32 (/.f32 (pow.f32 u1 #s(literal 6 binary32)) (pow.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 3 binary32))) (pow.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) #s(literal 3 binary32)))) (sqrt.f32 (+.f32 (pow.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) #s(literal 2 binary32)) (+.f32 (pow.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) #s(literal 2 binary32)) (.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))

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

Calls

8 calls:

36.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
31.0ms	u1
25.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
24.0ms	cosTheta_i
24.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Results

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

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes180.0ms (2.1%)

Memory

-20.9MiB live, 212.3MiB allocated

Counts

52 → 2

Calls

Call 1

Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- u1 -1))) #s(literal -1 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 u1 #s(literal 1 binary32) #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- u1 -1))) (-.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 3/8 binary32) u1) #s(literal 1/2 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 #s(literal -1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal -1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) #s(approx (+ ( -1 u1) -1) #s(literal -1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ (- (* u1 u1) u1) (* (- u1 1) (- 1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 #s(approx (+ (* u1 u1) 1) (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (-.f32 u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 u1 #s(literal -1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (neg.f32 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal -1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(approx (cos (* u2 314159265359/50000000000)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1)))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (-.f32 #s(literal -1 binary32) u1) (*.f32 u1 (fma.f32 u1 u1 u1))) (fma.f32 u1 u1 #s(literal -1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) u1) (.f32 (-.f32 #s(literal 1 binary32) u1) (.f32 u1 u1))) (fma.f32 u1 u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 (.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 #s(approx (/ (neg (* (+ (* u1 u1) -1) (- -1 u1))) (- 1 u1)) (*.f32 (neg.f32 u1) (fma.f32 (/.f32 #s(literal 2 binary32) u1) u1 u1))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) u1))) (-.f32 #s(literal 1 binary32) u1)) (-.f32 u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) u1))) (-.f32 #s(literal 1 binary32) u1)) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))))))
(/.f32 #s(approx (cos (* u2 314159265359/50000000000)) (fma.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 #s(approx (/ (neg (* (+ (* u1 u1) -1) (- -1 u1))) (- 1 u1)) (.f32 (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) u1)) u1) u1)) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))))))
#s(approx (* (sqrt (/ (- (* u1 u1) u1) (* (- u1 1) (- 1 u1)))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (+.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (.f32 (.f32 u2 u2) (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (/.f32 (/.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (-.f32 #s(literal -1 binary32) u1)) (-.f32 #s(literal 1 binary32) u1)) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (/.f32 (-.f32 (.f32 (.f32 u1 u1) (-.f32 #s(literal -1 binary32) u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal -1 binary32) u1)))) (fma.f32 u1 u1 #s(literal -1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (sqrt.f32 u1)))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 #s(approx (sqrt (/ (- ( u1 u1) u1) (* (- u1 1) (- 1 u1)))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 #s(approx (/ (- ( 0 (- 1 u1)) (* (/ (* u1 u1) -1) (/ (- u1 1) u1))) (* (- u1 1) (- 1 u1))) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (.f32 #s(approx (/ -1 (- 1 u1)) (-.f32 #s(literal -1 binary32) u1)) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Outputs

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

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

Calls

8 calls:

38.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
37.0ms	u2
24.0ms	cosTheta_i
22.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
14.0ms	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))

Results

Accuracy	Segments	Branch
88.0%	1	`cosTheta_i`
94.5%	2	`u1`
95.6%	2	`u2`
95.8%	2	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
94.5%	2	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
94.5%	2	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
95.6%	2	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
95.6%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes165.0ms (2%)

Memory

14.6MiB live, 165.3MiB allocated

Counts

51 → 2

Calls

Call 1

Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- u1 -1))) #s(literal -1 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 u1 #s(literal 1 binary32) #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- u1 -1))) (-.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 3/8 binary32) u1) #s(literal 1/2 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 #s(literal -1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal -1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) #s(approx (+ ( -1 u1) -1) #s(literal -1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ (- (* u1 u1) u1) (* (- u1 1) (- 1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 #s(approx (+ (* u1 u1) 1) (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (-.f32 u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 u1 #s(literal -1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (neg.f32 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal -1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(approx (cos (* u2 314159265359/50000000000)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1)))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (-.f32 #s(literal -1 binary32) u1) (*.f32 u1 (fma.f32 u1 u1 u1))) (fma.f32 u1 u1 #s(literal -1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) u1) (.f32 (-.f32 #s(literal 1 binary32) u1) (.f32 u1 u1))) (fma.f32 u1 u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 (.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 #s(approx (/ (neg (* (+ (* u1 u1) -1) (- -1 u1))) (- 1 u1)) (*.f32 (neg.f32 u1) (fma.f32 (/.f32 #s(literal 2 binary32) u1) u1 u1))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) u1))) (-.f32 #s(literal 1 binary32) u1)) (-.f32 u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) u1))) (-.f32 #s(literal 1 binary32) u1)) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))))))
(/.f32 #s(approx (cos (* u2 314159265359/50000000000)) (fma.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 #s(approx (/ (neg (* (+ (* u1 u1) -1) (- -1 u1))) (- 1 u1)) (.f32 (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) u1)) u1) u1)) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))))))
#s(approx (* (sqrt (/ (- (* u1 u1) u1) (* (- u1 1) (- 1 u1)))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (+.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (.f32 (.f32 u2 u2) (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (/.f32 (/.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (-.f32 #s(literal -1 binary32) u1)) (-.f32 #s(literal 1 binary32) u1)) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (/.f32 (-.f32 (.f32 (.f32 u1 u1) (-.f32 #s(literal -1 binary32) u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal -1 binary32) u1)))) (fma.f32 u1 u1 #s(literal -1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (sqrt.f32 u1)))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 #s(approx (sqrt (/ (- ( u1 u1) u1) (* (- u1 1) (- 1 u1)))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 #s(approx (/ (- ( 0 (- 1 u1)) (* (/ (* u1 u1) -1) (/ (- u1 1) u1))) (* (- u1 1) (- 1 u1))) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Outputs

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

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

Calls

7 calls:

46.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
29.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
27.0ms	u1
21.0ms	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
13.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Results

Accuracy	Segments	Branch
89.8%	2	`u1`
89.8%	2	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
89.8%	2	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
92.3%	2	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
92.3%	2	`u2`
92.3%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
91.7%	2	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`

Compiler

Compiled 31 to 41 computations (-32.3% saved)

regimes248.0ms (3%)

Memory

-20.5MiB live, 185.7MiB allocated

Counts

48 → 1

Calls

Call 1

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

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

Calls

8 calls:

81.0ms	u2
49.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
48.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
12.0ms	cosTheta_i
12.0ms	u1

Results

Accuracy	Segments	Branch
84.0%	1	`u1`
84.0%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
84.0%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
84.0%	1	`cosTheta_i`
84.0%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
84.0%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
84.0%	1	`u2`
84.0%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes162.0ms (1.9%)

Memory

10.0MiB live, 124.4MiB allocated

Counts

46 → 1

Calls

Call 1

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

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

Calls

8 calls:

71.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
16.0ms	u1
15.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
12.0ms	cosTheta_i
12.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Results

Accuracy	Segments	Branch
84.0%	1	`u1`
84.0%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
84.0%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
84.0%	1	`u2`
84.0%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
84.0%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
84.0%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
84.0%	1	`cosTheta_i`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes13.0ms (0.2%)

Memory

24.0MiB live, 24.0MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
66.7%	1	`u1`
66.7%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
66.7%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
66.7%	1	`u2`
66.7%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
66.7%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
66.7%	1	`cosTheta_i`
66.7%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes32.0ms (0.4%)

Memory

-25.7MiB live, 16.5MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

8 calls:

22.0ms	cosTheta_i
1.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
1.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
1.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
1.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
4.1%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
4.1%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
4.1%	1	`cosTheta_i`
4.1%	1	`u1`
4.1%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
4.1%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
4.1%	1	`u2`
4.1%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.02671256847679615	0.029246453195810318

Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.004834011197090149	0.005835533607751131

Compiler

Compiled 14 to 17 computations (-21.4% saved)

simplify105.0ms (1.3%)

Memory

-0.3MiB live, 38.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	178
1	58	178
2	68	178
3	74	178
4	77	178
5	78	178

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(if (<=.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 7516193/268435456 binary32)) (.f32 (sqrt.f32 (.f32 #s(approx (/ -1 (- 1 u1)) (-.f32 #s(literal -1 binary32) u1)) (neg.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(approx ( (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 5368709/1073741824 binary32)) #s(approx ( (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32))) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- u1 -1))) #s(literal -1 binary32)))

Outputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(if (<=.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 7516193/268435456 binary32)) (.f32 (sqrt.f32 (.f32 #s(approx (/ -1 (- 1 u1)) (-.f32 #s(literal -1 binary32) u1)) (neg.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(approx ( (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(if (<=.f32 (.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 7516193/268435456 binary32)) (.f32 (sqrt.f32 (.f32 (neg.f32 u1) #s(approx (/ -1 (- 1 u1)) (-.f32 #s(literal -1 binary32) u1)))) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(approx ( (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 5368709/1073741824 binary32)) #s(approx ( (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32))) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) #s(literal 5368709/1073741824 binary32)) #s(approx ( (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32))) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- u1 -1))) #s(literal -1 binary32)))

soundness960.0ms (11.5%)

Memory

21.4MiB live, 820.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	180	750
1	523	661
2	1543	593
3	4794	545
0	8083	519
0	10	28
0	16	28
1	46	28
2	237	28
3	1953	28
0	9692	28
0	422	1699
1	1231	1533
2	3642	1397
0	8918	1320
0	39	211
0	66	213
1	215	191
2	1475	158
0	8896	158
0	49	272
0	82	237
1	301	227
2	2489	175
0	9857	172
0	372	1815
1	1114	1628
2	3332	1457
3	7477	1455
0	8237	1371

Stop Event

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

Compiler

Compiled 276 to 157 computations (43.1% saved)

preprocess33.0ms (0.4%)

Memory

13.5MiB live, 91.8MiB allocated

Remove

(abs cosTheta_i)

(abs u2)

Compiler

Compiled 466 to 206 computations (55.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

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

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

start0.0ms (0%)

analyze542.0ms (6.5%)

sample2.0s (23.9%)

explain200.0ms (2.4%)

preprocess39.0ms (0.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0.1%)

localize50.0ms (0.6%)

series8.0ms (0.1%)

simplify208.0ms (2.5%)

rewrite147.0ms (1.8%)

eval60.0ms (0.7%)

prune26.0ms (0.3%)

simplify198.0ms (2.4%)

localize180.0ms (2.1%)

series27.0ms (0.3%)

simplify224.0ms (2.7%)

rewrite195.0ms (2.3%)

eval347.0ms (4.1%)

prune109.0ms (1.3%)

simplify108.0ms (1.3%)

localize171.0ms (2%)

series23.0ms (0.3%)

simplify177.0ms (2.1%)

rewrite188.0ms (2.2%)

eval140.0ms (1.7%)

prune64.0ms (0.8%)

simplify113.0ms (1.3%)

localize135.0ms (1.6%)

series14.0ms (0.2%)

simplify167.0ms (2%)

rewrite187.0ms (2.2%)

eval123.0ms (1.5%)

prune90.0ms (1.1%)

regimes213.0ms (2.5%)

regimes180.0ms (2.1%)

regimes165.0ms (2%)

regimes248.0ms (3%)

regimes162.0ms (1.9%)

regimes13.0ms (0.2%)

regimes32.0ms (0.4%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify105.0ms (1.3%)

soundness960.0ms (11.5%)

preprocess33.0ms (0.4%)

end0.0ms (0%)

Profiling

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

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