Metrics for Beckmann Sample, near normal, slope

start0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

analyze375.0ms (3.3%)

Memory

28.7MiB live, 557.3MiB allocated; 110ms collecting garbage

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 37 to 24 computations (35.1% saved)

sample2.4s (21.2%)

Memory

40.1MiB live, 2 912.6MiB allocated; 504ms collecting garbage

Samples

2.0s	8 256×	0	valid
0.0ms	1×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.6s

const: 418.0ms (26.2% of total)

ival-cosu: 262.0ms (16.4% of total)

ival-log: 217.0ms (13.6% of total)

ival-<=: 182.0ms (11.4% of total)

ival-mult: 149.0ms (9.3% of total)

ival-sub: 105.0ms (6.6% of total)

ival-sqrt: 90.0ms (5.6% of total)

ival-neg: 79.0ms (4.9% of total)

ival->: 48.0ms (3% of total)

ival-and: 35.0ms (2.2% of total)

exact: 5.0ms (0.3% of total)

adjust: 3.0ms (0.2% of total)

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

Bogosity

explain153.0ms (1.4%)

Memory

-27.3MiB live, 267.4MiB allocated; 54ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
195	7	(0.9999487996101379 0.007914192974567413 1.395120108327319e-8)	0	-	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
1	1	(0.9999851584434509 0.16069665551185608 0.25175678730010986)	1	(0.9999363422393799 7.630230669519733e-9 0.2545810043811798)	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
0	0	-	0	-	`(-.f32 #s(literal 1 binary32) u1)`
0	0	-	0	-	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
0	0	-	0	-	`u2`
0	0	-	0	-	`(PI.f32)`
0	0	-	0	-	`#s(literal 2 binary32)`
0	0	-	0	-	`#s(literal 1 binary32)`
0	0	-	0	-	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
0	0	-	0	-	`u1`
0	0	-	0	-	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
0	0	-	0	-	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
0	0	-	0	-	`(*.f32 #s(literal 2 binary32) (PI.f32))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f32`	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`	sensitivity	202	9
`cos.f32`	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`	sensitivity	1	5

Confusion

	Predicted +	Predicted -
+	191	0
-	12	53

Precision

0.9408866995073891

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	191	0	0
-	12	9	44

Precision?

0.9009433962264151

Recall?

1.0

Freqs

test

number	freq
0	53
1	203

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

73.0ms

512×

valid

Compiler

Compiled 117 to 46 computations (60.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-log: 21.0ms (39.1% of total)

ival-cosu: 13.0ms (24.2% of total)

ival-mult: 9.0ms (16.7% of total)

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

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

ival-pi: 2.0ms (3.7% of total)

ival-neg: 2.0ms (3.7% of total)

exact: 1.0ms (1.9% of total)

adjust: 0.0ms (0% of total)

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

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

preprocess289.0ms (2.6%)

Memory

29.9MiB live, 296.5MiB allocated; 86ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	122
1	92	122
2	205	122
3	586	120
4	1899	120
5	6128	120
0	13	13
0	22	13
1	36	13
2	69	13
3	198	13
4	649	13
5	3024	13
6	7295	13
0	8174	12

Stop Event

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

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Outputs

(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

(*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))

Symmetry

(abs u2)

(abs cosTheta_i)

Compiler

Compiled 13 to 14 computations (-7.7% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Compiler

Compiled 13 to 14 computations (-7.7% saved)

simplify198.0ms (1.8%)

Memory

-9.6MiB live, 182.9MiB allocated; 33ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
cost-diff	0	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
cost-diff	0	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff	1	(log.f32 (-.f32 #s(literal 1 binary32) u1))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	50
0	22	50
1	36	50
2	69	50
3	198	50
4	649	50
5	3024	50
6	7295	50
0	8174	46

Stop Event

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

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
(log.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2

Outputs
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log.f32 (-.f32 #s(literal 1 binary32) u1))
(log1p.f32 (neg.f32 u1))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
u2

localize39.0ms (0.3%)

Memory

15.1MiB live, 60.6MiB allocated; 6ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.16015625	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy	0.17592891294222693	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
accuracy	0.26953125	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	14.52745961872351	(log.f32 (-.f32 #s(literal 1 binary32) u1))

Samples

31.0ms

256×

valid

Compiler

Compiled 52 to 16 computations (69.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-sqrt: 6.0ms (27.4% of total)

ival-mult: 4.0ms (18.2% of total)

ival-cosu: 4.0ms (18.2% of total)

ival-log: 4.0ms (18.2% of total)

ival-pi: 1.0ms (4.6% of total)

ival-sub: 1.0ms (4.6% of total)

ival-neg: 1.0ms (4.6% 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)

series85.0ms (0.8%)

Memory

9.1MiB live, 110.1MiB allocated; 48ms collecting garbage

Counts

6 → 59

Calls

Call 1

Inputs
(log.f32 (-.f32 #s(literal 1 binary32) u1))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))

Outputs
(* -1 u1)
(* u1 (- (* -1/2 u1) 1))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(+ (log -1) (* -1 (log (/ 1 u1))))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(* -1 (log (/ -1 u1)))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(log (/ -1 u1))
(- (/ 1 u1) (* -1 (log (/ -1 u1))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(* 2 (* u2 (PI)))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(cos (* 2 (* u2 (PI))))

Calls

9 calls:

Time	Variable		Point	Expression
65.0ms	u2	@	inf	((log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)))
8.0ms	u2	@	-inf	((log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)))
3.0ms	u2	@	0	((log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)))
3.0ms	u1	@	inf	((log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)))
3.0ms	u1	@	-inf	((log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)))

simplify174.0ms (1.5%)

Memory

21.9MiB live, 247.8MiB allocated; 77ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	306	1647
1	1051	1359
2	4641	1348
0	8386	1282

Stop Event

1×	iter limit
1×	node limit

Counts

59 → 58

Calls

Call 1

Inputs
(* -1 u1)
(* u1 (- (* -1/2 u1) 1))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(+ (log -1) (* -1 (log (/ 1 u1))))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(* -1 (log (/ -1 u1)))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(log (/ -1 u1))
(- (/ 1 u1) (* -1 (log (/ -1 u1))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(* 2 (* u2 (PI)))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(cos (* 2 (* u2 (PI))))

Outputs
(* -1 u1)
(neg.f32 u1)
(* u1 (- (* -1/2 u1) 1))
(*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(*.f32 (fma.f32 (fma.f32 #s(literal -1/3 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal -1 binary32)) u1)
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) u1 #s(literal -1/3 binary32)) u1 #s(literal -1/2 binary32)) u1 #s(literal -1 binary32)) u1)
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2))))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(fma.f32 (.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2)))) #s(literal -1/4 binary32) (.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(fma.f32 (.f32 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1)))) (.f32 u1 u1) (.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(fma.f32 (.f32 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2))) #s(literal -1 binary32)) (sqrt.f32 u1) (.f32 (fma.f32 (.f32 #s(literal -1/4 binary32) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2)))) (.f32 (.f32 (sqrt.f32 u1) #s(literal -1/2 binary32)) (.f32 (-.f32 (/.f32 #s(literal -1/16 binary32) u1) #s(literal -1/4 binary32)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2)))))) u1)) (*.f32 u1 u1)))
(* (sqrt u1) (pow (sqrt -1) 2))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/4 binary32) (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 (-.f32 (/.f32 #s(literal -1/16 binary32) u1) #s(literal -1/4 binary32)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (.f32 u1 u1) (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)))
u1
(* u1 (+ 1 (* 1/2 u1)))
(*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1)
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
(+ (log -1) (* -1 (log (/ 1 u1))))
(+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(-.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) u1))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(-.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) u1) #s(literal -1 binary32)) u1))
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
(+.f32 (-.f32 (log.f32 u1) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/3 binary32) u1) #s(literal -1/2 binary32)) u1) #s(literal -1 binary32)) u1)) (log.f32 #s(literal -1 binary32)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(.f32 (.f32 (sqrt.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(fma.f32 (.f32 (sqrt.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2)))) (sqrt.f32 #s(literal -1 binary32)) (.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))))) (.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))))) (fma.f32 (.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2)))) #s(literal -1/2 binary32) (.f32 (/.f32 (.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32)) (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2))))) (.f32 u1 u1)) #s(literal -1/2 binary32))) (.f32 (.f32 (sqrt.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(fma.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))))) (.f32 (.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) #s(literal 1/4 binary32)) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) #s(literal -1/3 binary32)) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 u1 #s(literal 3 binary32)))) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))))) (fma.f32 (.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2)))) #s(literal -1/2 binary32) (.f32 (/.f32 (.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32)) (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2))))) (.f32 u1 u1)) #s(literal -1/2 binary32))) (.f32 (.f32 (sqrt.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(*.f32 (sqrt.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32)))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(fma.f32 (.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal -1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))))) (.f32 (sqrt.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))))) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal -1/2 binary32) (.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32)) (.f32 u1 u1)))) (.f32 (sqrt.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(fma.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))))) (fma.f32 (.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) #s(literal 1/4 binary32)) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) #s(literal -1/3 binary32)) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal -1/2 binary32) (.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32)) (.f32 u1 u1)))) (.f32 (sqrt.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32)))))
(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))
(-.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) u1) #s(literal -1 binary32)) u1) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(-.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/3 binary32) u1) #s(literal -1/2 binary32)) u1) #s(literal -1 binary32)) u1) (log.f32 u1)) (log.f32 #s(literal -1 binary32)))
(* -1 (log (/ -1 u1)))
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(-.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (/.f32 #s(literal 1 binary32) u1))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) u1) #s(literal 1 binary32)) u1) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(-.f32 (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/3 binary32) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2)))) #s(literal -1 binary32))
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2))) u1)) #s(literal -1/2 binary32) (.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (cos.f32 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -1 binary32)))
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(fma.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2)))) #s(literal -1 binary32) (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (+.f32 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2))) (.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal -1/2 binary32)) (/.f32 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2))) u1)))) u1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(fma.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2)))) #s(literal -1 binary32) (/.f32 (fma.f32 (.f32 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (fma.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal -1/2 binary32)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2))) (.f32 (fma.f32 (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 1/2 binary32) #s(literal 1/3 binary32)) (/.f32 (cos.f32 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2))) u1)))) u1))) (neg.f32 u1)))
(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal -1 binary32))
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(fma.f32 (/.f32 #s(literal -1/2 binary32) u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal -1 binary32)))
(+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(fma.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal -1 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal -1/2 binary32)) u1) #s(literal 1/2 binary32) #s(literal 1/2 binary32))) (neg.f32 u1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(fma.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (+.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal -1/2 binary32)) (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 1/2 binary32) #s(literal 1/3 binary32)) u1))) u1) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) #s(literal 1/2 binary32))) (neg.f32 u1)))
(log (/ -1 u1))
(log.f32 (/.f32 #s(literal -1 binary32) u1))
(- (/ 1 u1) (* -1 (log (/ -1 u1))))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) (/.f32 #s(literal 1 binary32) u1))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(-.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) u1) #s(literal 1 binary32)) u1))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(-.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/3 binary32) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sqrt.f32 #s(literal -1 binary32)))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (PI.f32)) (PI.f32)) (sqrt.f32 #s(literal -1 binary32))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(fma.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (fma.f32 (.f32 #s(literal 2/3 binary32) (.f32 u2 u2)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (sqrt.f32 #s(literal -1 binary32))) (.f32 (.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -1 binary32))) (.f32 (PI.f32) (PI.f32))))) (.f32 u2 u2) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sqrt.f32 #s(literal -1 binary32))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(fma.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (PI.f32)) (PI.f32)) (sqrt.f32 #s(literal -1 binary32))) (.f32 (pow.f32 u2 #s(literal 4 binary32)) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (fma.f32 (.f32 #s(literal 2/3 binary32) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (.f32 #s(literal -4/45 binary32) (.f32 u2 u2)) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (sqrt.f32 #s(literal -1 binary32))))))))
(* 2 (* u2 (PI)))
(.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(fma.f32 (fma.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (*.f32 u2 u2) #s(literal 1 binary32))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(fma.f32 (fma.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (PI.f32) (.f32 (fma.f32 (.f32 #s(literal -4/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32))) (.f32 u2 u2))) (*.f32 u2 u2) #s(literal 1 binary32))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2)))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2)))

rewrite61.0ms (0.5%)

Memory

-6.7MiB live, 84.7MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	39
0	22	39
1	67	39
0	392	39

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

6 → 31

Calls

Call 1

Inputs
(log.f32 (-.f32 #s(literal 1 binary32) u1))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))

Outputs
(log.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1)))
(.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (pow.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32)) (pow.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32)))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
(pow.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))
(exp.f32 (*.f32 (log.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1/2 binary32)))
(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(-.f32 #s(literal 0 binary32) (log.f32 (-.f32 #s(literal 1 binary32) u1)))
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
(.f32 (.f32 u2 #s(literal 2 binary32)) (PI.f32))
(.f32 (.f32 u2 (PI.f32)) #s(literal 2 binary32))
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u2)
(.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(fma.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) u2) (.f32 u2 (PI.f32)))
(fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) u2) (.f32 u2 (PI.f32)))
(fma.f32 u2 (PI.f32) (*.f32 u2 (PI.f32)))
(fma.f32 (PI.f32) u2 (*.f32 u2 (PI.f32)))
(+.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))
(-.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))))
(fma.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) (cos.f32 (/.f32 (PI.f32) #s(literal 2 binary32))) (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(sin.f32 (fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32))))
(sin.f32 (fma.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))))
(+.f32 (.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) (cos.f32 (/.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(cos.f32 (neg.f32 (.f32 #s(literal -2 binary32) (.f32 u2 (PI.f32)))))
(cos.f32 (.f32 #s(literal -2 binary32) (.f32 u2 (PI.f32))))
(cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))

eval17.0ms (0.1%)

Memory: -33.9MiB live, 24.0MiB allocated; 14ms collecting garbage
Compiler: Compiled 2 592 to 494 computations (80.9% saved)

prune13.0ms (0.1%)

Memory

31.4MiB live, 31.4MiB allocated; 0ms collecting garbage

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	76	13	89
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	76	14	90

Accuracy

99.1%

Counts

90 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.3%	(.f32 (.f32 (pow.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32)) (pow.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	98.6%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	96.8%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	56.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (-.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))))
	56.4%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (fma.f32 #s(literal -2 binary32) (.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
✓	56.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	51.6%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
▶	48.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	76.6%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	54.3%	(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.8%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.0%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	87.3%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	56.4%	(.f32 (exp.f32 (.f32 (log.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Compiler

Compiled 525 to 472 computations (10.1% saved)

simplify131.0ms (1.2%)

Memory

21.0MiB live, 157.0MiB allocated; 23ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1))))
cost-diff	0	(sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1)))))
cost-diff	0	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff	1	(log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))
cost-diff	0	(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
cost-diff	0	(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
cost-diff	0	(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff	2	(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
cost-diff	0	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
cost-diff	0	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
cost-diff	0	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
cost-diff	1	(log.f32 (-.f32 #s(literal 1 binary32) u1))
cost-diff	0	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
cost-diff	0	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
cost-diff	0	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
cost-diff	1	(log.f32 (-.f32 #s(literal 1 binary32) u1))
cost-diff	0	(-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))
cost-diff	0	(neg.f32 (-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))
cost-diff	0	(sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))))
cost-diff	0	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	360
0	88	357
1	145	357
2	307	357
3	1086	357
4	3011	357
5	7176	357
0	8075	341

Stop Event

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

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))))
(neg.f32 (-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))
(-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))
(log1p.f32 (*.f32 (neg.f32 u1) u1))
(*.f32 (neg.f32 u1) u1)
(neg.f32 u1)
u1
(log1p.f32 u1)
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
(log.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
(log.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
#s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
(fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(.f32 (.f32 u2 u2) #s(literal -2 binary32))
(*.f32 u2 u2)
u2
#s(literal -2 binary32)
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) u1)
u1
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1)))))
(neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1))))
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1)))
(log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))
(-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))
#s(literal 1 binary32)
(pow.f32 u1 #s(literal 3 binary32))
u1
#s(literal 3 binary32)
(log1p.f32 (fma.f32 u1 u1 u1))
(fma.f32 u1 u1 u1)
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2

Outputs
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (cos.f32 (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) u2)) (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))))
(sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))))
(neg.f32 (-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))
(-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))
(log1p.f32 (*.f32 (neg.f32 u1) u1))
(*.f32 (neg.f32 u1) u1)
(neg.f32 u1)
u1
(log1p.f32 u1)
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) u2))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
u2
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log.f32 (-.f32 #s(literal 1 binary32) u1))
(log1p.f32 (neg.f32 u1))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log.f32 (-.f32 #s(literal 1 binary32) u1))
(log1p.f32 (neg.f32 u1))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
#s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
#s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)))
(fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32))
(.f32 (.f32 u2 u2) #s(literal -2 binary32))
(.f32 #s(literal -2 binary32) (.f32 u2 u2))
(*.f32 u2 u2)
u2
#s(literal -2 binary32)
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2)))
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) u1)
u1
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) u2))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
u2
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32))) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1)))))
(sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32))) (log1p.f32 (fma.f32 u1 u1 u1)))))
(neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1))))
(neg.f32 (-.f32 (log1p.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32))) (log1p.f32 (fma.f32 u1 u1 u1))))
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1)))
(-.f32 (log1p.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32))) (log1p.f32 (fma.f32 u1 u1 u1)))
(log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))
(log1p.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32)))
(-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))
#s(literal 1 binary32)
(pow.f32 u1 #s(literal 3 binary32))
u1
#s(literal 3 binary32)
(log1p.f32 (fma.f32 u1 u1 u1))
(fma.f32 u1 u1 u1)
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) u2))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
u2

localize412.0ms (3.6%)

Memory

-43.2MiB live, 477.1MiB allocated; 129ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.17592891294222693	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
accuracy	0.26953125	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	0.28515625	(log1p.f32 (fma.f32 u1 u1 u1))
accuracy	23.519382385117016	(log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))
accuracy	0.16015625	(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy	0.17592891294222693	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
accuracy	0.26953125	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	15.36420549280112	(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
accuracy	0.16015625	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
accuracy	1.0	(*.f32 (PI.f32) (PI.f32))
accuracy	4.053075274516194	#s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
accuracy	14.52745961872351	(log.f32 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.12109375	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
accuracy	0.16015625	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
accuracy	7.034538633675919	#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
accuracy	14.52745961872351	(log.f32 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.16015625	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy	0.17592891294222693	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
accuracy	0.2578125	(-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))
accuracy	0.26953125	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)

Samples

210.0ms	156×	1	valid
143.0ms	100×	0	valid

Compiler

Compiled 373 to 45 computations (87.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 313.0ms

ival-neg: 67.0ms (21.4% of total)

ival-sqrt: 60.0ms (19.1% of total)

adjust: 54.0ms (17.2% of total)

ival-cosu: 45.0ms (14.4% of total)

ival-log: 36.0ms (11.5% of total)

ival-mult: 20.0ms (6.4% of total)

ival-sub: 10.0ms (3.2% of total)

ival-log1p: 9.0ms (2.9% of total)

ival-pow: 4.0ms (1.3% of total)

ival-div: 3.0ms (1% of total)

ival-add: 3.0ms (1% of total)

ival-pi: 1.0ms (0.3% of total)

exact: 1.0ms (0.3% of total)

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

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

series265.0ms (2.3%)

Memory

-8.9MiB live, 403.8MiB allocated; 67ms collecting garbage

Counts

23 → 192

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))))
(neg.f32 (-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))
(-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))
(log.f32 (-.f32 #s(literal 1 binary32) u1))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
(log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1)))))
(neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1))))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
#s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
(*.f32 (PI.f32) (PI.f32))
(log1p.f32 (fma.f32 u1 u1 u1))

Outputs
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/4 (* 1/16 (/ 1 u1))))))))))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(* -1 u1)
(* u1 (- (* -1/2 u1) 1))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
1
(+ 1 u1)
(+ 1 (* u1 (+ 1 u1)))
(+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))
(* -1 (pow u1 3))
(* (pow u1 3) (- (* -1/2 (pow u1 3)) 1))
(* (pow u1 3) (- (* (pow u1 3) (- (* -1/3 (pow u1 3)) 1/2)) 1))
(* (pow u1 3) (- (* (pow u1 3) (- (* (pow u1 3) (- (* -1/4 (pow u1 3)) 1/3)) 1/2)) 1))
(* u1 (+ 1 (* u1 (+ 1/2 (* -2/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (- (* 1/4 u1) 2/3))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))))
(sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))
(+ (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))))
(+ (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))))))
(+ (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))))))
(- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))
(- (+ (* -1 (log (/ 1 u1))) (/ 1 u1)) (+ (log -1) (* -2 (log (/ 1 u1)))))
(- (+ (* -1 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))
(- (+ (* -1 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3)))))) (+ (log -1) (* -2 (log (/ 1 u1)))))
(- (+ (log -1) (* -2 (log (/ 1 u1)))) (* -1 (log (/ 1 u1))))
(- (+ (log -1) (* -2 (log (/ 1 u1)))) (+ (* -1 (log (/ 1 u1))) (/ 1 u1)))
(- (+ (log -1) (+ (* -2 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))) (* -1 (log (/ 1 u1))))
(- (+ (log -1) (+ (* -2 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (+ (* -1 (log (/ 1 u1))) (/ 1 u1)))
(+ (log -1) (* -1 (log (/ 1 u1))))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(+ (log -1) (log (/ 1 u1)))
(+ (log -1) (+ (log (/ 1 u1)) (/ 1 u1)))
(+ (log -1) (+ (log (/ 1 u1)) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))))
(+ (log -1) (+ (log (/ 1 u1)) (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3)))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (log (/ 1 u1)))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (log (/ 1 u1))))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (+ (log -1) (log (/ 1 u1))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (log (/ 1 u1)))))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (+ (log -1) (log (/ 1 u1)))))) (+ (log -1) (log (/ 1 u1))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (+ (log -1) (log (/ 1 u1))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (log (/ 1 u1))))))))
(sqrt (+ (log -1) (log (/ 1 u1))))
(+ (sqrt (+ (log -1) (log (/ 1 u1)))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))))
(+ (sqrt (+ (log -1) (log (/ 1 u1)))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (+ (log -1) (log (/ 1 u1)))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1)))))))))
(+ (sqrt (+ (log -1) (log (/ 1 u1)))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))) (+ (* 1/2 (* (/ (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (+ (log -1) (log (/ 1 u1)))))) (+ (log -1) (log (/ 1 u1)))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (+ (log -1) (log (/ 1 u1)))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))))))
(/ -1 u1)
(* -1 (/ (+ 1 (/ 1 u1)) u1))
(/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1)
(/ (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) u1)
(+ (log -1) (* -3 (log (/ 1 u1))))
(- (+ (log -1) (* -3 (log (/ 1 u1)))) (/ 1 (pow u1 3)))
(+ (log -1) (+ (* -3 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow u1 3)))) (pow u1 3)))))
(- (+ (log -1) (+ (* -3 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow u1 3)))) (pow u1 6))))) (/ 1 (pow u1 3)))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1)))))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1)))))))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1)))))))) (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))))
(sqrt (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))
(+ (sqrt (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1)))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))))
(+ (sqrt (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1)))))))))))
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(* 2 (* u2 (PI)))
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(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))
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Calls

9 calls:

Time	Variable		Point	Expression
162.0ms	u2	@	inf	((* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1)))) (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (log (/ 1 (- 1 u1))) (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (log (/ 1 (- 1 u1)))) (/ 1 (- 1 u1)) (log (- 1 (pow u1 3))) (* (sqrt (neg (- (log (- 1 (pow u1 3))) (log (+ 1 (+ (* u1 u1) u1)))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (- (log (- 1 (pow u1 3))) (log (+ 1 (+ (* u1 u1) u1)))))) (neg (- (log (- 1 (pow u1 3))) (log (+ 1 (+ (* u1 u1) u1))))) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (cos (* (* 2 (PI)) u2)) (cos (* (* 2 (PI)) u2)) (* (PI) (PI)) (log (+ 1 (+ (* u1 u1) u1))))
59.0ms	u2	@	-inf	((* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1)))) (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (log (/ 1 (- 1 u1))) (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (log (/ 1 (- 1 u1)))) (/ 1 (- 1 u1)) (log (- 1 (pow u1 3))) (* (sqrt (neg (- (log (- 1 (pow u1 3))) (log (+ 1 (+ (* u1 u1) u1)))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (- (log (- 1 (pow u1 3))) (log (+ 1 (+ (* u1 u1) u1)))))) (neg (- (log (- 1 (pow u1 3))) (log (+ 1 (+ (* u1 u1) u1))))) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (cos (* (* 2 (PI)) u2)) (cos (* (* 2 (PI)) u2)) (* (PI) (PI)) (log (+ 1 (+ (* u1 u1) u1))))
14.0ms	u1	@	0	((* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1)))) (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (log (/ 1 (- 1 u1))) (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (log (/ 1 (- 1 u1)))) (/ 1 (- 1 u1)) (log (- 1 (pow u1 3))) (* (sqrt (neg (- (log (- 1 (pow u1 3))) (log (+ 1 (+ (* u1 u1) u1)))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (- (log (- 1 (pow u1 3))) (log (+ 1 (+ (* u1 u1) u1)))))) (neg (- (log (- 1 (pow u1 3))) (log (+ 1 (+ (* u1 u1) u1))))) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (cos (* (* 2 (PI)) u2)) (cos (* (* 2 (PI)) u2)) (* (PI) (PI)) (log (+ 1 (+ (* u1 u1) u1))))
12.0ms	u1	@	inf	((* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1)))) (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (log (/ 1 (- 1 u1))) (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (log (/ 1 (- 1 u1)))) (/ 1 (- 1 u1)) (log (- 1 (pow u1 3))) (* (sqrt (neg (- (log (- 1 (pow u1 3))) (log (+ 1 (+ (* u1 u1) u1)))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (- (log (- 1 (pow u1 3))) (log (+ 1 (+ (* u1 u1) u1)))))) (neg (- (log (- 1 (pow u1 3))) (log (+ 1 (+ (* u1 u1) u1))))) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (cos (* (* 2 (PI)) u2)) (cos (* (* 2 (PI)) u2)) (* (PI) (PI)) (log (+ 1 (+ (* u1 u1) u1))))
8.0ms	u1	@	-inf	((* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1)))) (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (log (/ 1 (- 1 u1))) (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (log (/ 1 (- 1 u1)))) (/ 1 (- 1 u1)) (log (- 1 (pow u1 3))) (* (sqrt (neg (- (log (- 1 (pow u1 3))) (log (+ 1 (+ (* u1 u1) u1)))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (- (log (- 1 (pow u1 3))) (log (+ 1 (+ (* u1 u1) u1)))))) (neg (- (log (- 1 (pow u1 3))) (log (+ 1 (+ (* u1 u1) u1))))) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (cos (* (* 2 (PI)) u2)) (cos (* (* 2 (PI)) u2)) (* (PI) (PI)) (log (+ 1 (+ (* u1 u1) u1))))

simplify162.0ms (1.4%)

Memory

33.5MiB live, 225.5MiB allocated; 54ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	840	6201
1	2970	5047
0	8771	4826

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 191

Calls

Call 1

Inputs
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))
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(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/4 (* 1/16 (/ 1 u1))))))))))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
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(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
1
(+ 1 u1)
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(* -1 (pow u1 3))
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(* u1 (+ 1 (* u1 (+ 1/2 (* -2/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (- (* 1/4 u1) 2/3))))))
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(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))
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(/ -1 u1)
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(+ (sqrt (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))) (* 1/2 (* (/ (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))) (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))))) u1)) (* -1/2 (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))) u1)))
(-.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) #s(literal -1/2 binary32) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (+.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal -1/2 binary32) #s(literal 1/3 binary32)) u1)))) u1)) u1))
(- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))
(log.f32 (/.f32 #s(literal -1 binary32) u1))
(- (+ (* -2 (log (/ -1 u1))) (/ 1 u1)) (* -3 (log (/ -1 u1))))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) (/.f32 #s(literal 1 binary32) u1))
(- (+ (* -2 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (* -3 (log (/ -1 u1))))
(+.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 1 binary32) u1))
(- (+ (* -2 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1))) (* -3 (log (/ -1 u1))))
(-.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/3 binary32) u1) #s(literal -1 binary32) #s(literal -1/2 binary32)) u1) #s(literal 1 binary32)) u1))
(* -2 (log (/ -1 u1)))
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -2 binary32))
(+ (* -2 (log (/ -1 u1))) (/ 1 u1))
(fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) u1))
(+ (* -2 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))
(+.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)))
(+ (* -2 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- 1/2 (* 2/3 (/ 1 u1))) u1)) 1) u1)))
(fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 2/3 binary32) u1)) (neg.f32 u1)) #s(literal 1 binary32)) (neg.f32 u1)))
(sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2))))))
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))))
(+ (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
(+ (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))))))
(fma.f32 (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (fma.f32 (.f32 #s(literal 2/3 binary32) (.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))) (.f32 u2 u2) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))))
(+ (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* 2/3 (* (pow (PI) 4) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))))))))
(fma.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (.f32 (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (fma.f32 (.f32 #s(literal -4/45 binary32) (.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)))) (.f32 u2 u2))) (.f32 u2 u2) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(*.f32 (sqrt.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 #s(literal -1 binary32)))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(.f32 (sqrt.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 u2 u2)) (sqrt.f32 #s(literal -1 binary32))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(fma.f32 (.f32 (sqrt.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 2/3 binary32) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (sqrt.f32 #s(literal -1 binary32))) (.f32 u2 u2)) (.f32 #s(literal -2 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (sqrt.f32 #s(literal -1 binary32)))))) (.f32 u2 u2) (*.f32 (sqrt.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 #s(literal -1 binary32))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(fma.f32 (fma.f32 (.f32 (sqrt.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 2/3 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (sqrt.f32 #s(literal -1 binary32))) (.f32 #s(literal -4/45 binary32) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (sqrt.f32 #s(literal -1 binary32))) (.f32 u2 u2))))) (.f32 u2 u2) (.f32 (.f32 #s(literal -2 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))) (.f32 u2 u2) (*.f32 (sqrt.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 #s(literal -1 binary32))))
(sqrt (log (/ 1 (- 1 u1))))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
(+ (sqrt (log (/ 1 (- 1 u1)))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log (/ 1 (- 1 u1)))))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
(+ (sqrt (log (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (/ 1 (- 1 u1)))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (log (/ 1 (- 1 u1)))))))))
(fma.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 (.f32 #s(literal 2/3 binary32) (.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))) (.f32 u2 u2) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
(+ (sqrt (log (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (/ 1 (- 1 u1)))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (log (/ 1 (- 1 u1)))))) (* 2/3 (* (pow (PI) 4) (sqrt (log (/ 1 (- 1 u1)))))))))))
(fma.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 (.f32 #s(literal -4/45 binary32) (.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)))) (.f32 u2 u2))) (*.f32 u2 u2) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
(sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3)))))
(sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32)))))
(+ (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32))))))
(+ (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))))))
(fma.f32 (.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32))))) (fma.f32 (.f32 #s(literal 2/3 binary32) (.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))) (.f32 u2 u2) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32))))))
(+ (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))) (* 2/3 (* (pow (PI) 4) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))))))))
(fma.f32 (fma.f32 (.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32))))) (fma.f32 (.f32 #s(literal -4/45 binary32) (.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)))) (.f32 u2 u2) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32))))))) (*.f32 u2 u2) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32))))))
(* 2 (* u2 (PI)))
(.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(fma.f32 (fma.f32 (.f32 #s(literal 2/3 binary32) (.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (*.f32 u2 u2) #s(literal 1 binary32))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -4/45 binary32) (.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32))) (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (*.f32 u2 u2) #s(literal 1 binary32))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (sqrt.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2)))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (/ 1 (- 1 u1)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32))))) (cos.f32 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2)))

rewrite118.0ms (1%)

Memory

-39.0MiB live, 153.3MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	228
0	88	185
1	268	185
0	1787	185

Stop Event

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

Counts

23 → 182

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))))
(neg.f32 (-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))
(-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))
(log.f32 (-.f32 #s(literal 1 binary32) u1))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
(log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1)))))
(neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1))))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
#s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
(*.f32 (PI.f32) (PI.f32))
(log1p.f32 (fma.f32 u1 u1 u1))

Outputs
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (pow.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32)) (pow.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32)))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
(pow.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))
(exp.f32 (*.f32 (log.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1/2 binary32)))
(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 #s(literal -1 binary32) (log.f32 (-.f32 #s(literal 1 binary32) u1)))
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(fma.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) u2) (.f32 u2 (PI.f32)))
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(*.f32 (PI.f32) (PI.f32))
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(log1p.f32 (fma.f32 u1 u1 u1))

eval35.0ms (0.3%)

Memory: 38.3MiB live, 81.5MiB allocated; 5ms collecting garbage
Compiler: Compiled 13 550 to 1 547 computations (88.6% saved)

prune39.0ms (0.3%)

Memory

-32.9MiB live, 70.0MiB allocated; 7ms collecting garbage

Pruning

36 alts after pruning (33 fresh and 3 done)

	Pruned	Kept	Total
New	339	31	370
Fresh	6	2	8
Picked	3	2	5
Done	0	1	1
Total	348	36	384

Accuracy

99.8%

Counts

384 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.5%	(.f32 (sqrt.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (neg.f32 (fma.f32 (log1p.f32 u1) (+.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1))) (pow.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) #s(literal 2 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	98.6%	(.f32 (sqrt.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) #s(literal 2 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (neg.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))) (-.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32))))))
	98.4%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))) (sin.f32 (fma.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
▶	98.7%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))) (sin.f32 (fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
	98.6%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))) (cos.f32 (fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) u2) (.f32 u2 (PI.f32)))))
	96.9%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (-.f32 (log1p.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 binary32))) (log1p.f32 (.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	85.6%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	93.4%	(.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (- 1 (pow u1 3))) (pow.f32 (neg.f32 u1) #s(literal 3 binary32))) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	56.4%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (fma.f32 #s(literal -2 binary32) (.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
✓	56.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	51.6%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	54.3%	(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (fma.f32 #s(literal -2 binary32) (.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
	54.4%	(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) u2) (*.f32 u2 (PI.f32)))))
✓	54.3%	(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	49.7%	(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
▶	51.5%	(.f32 (sqrt.f32 (log.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	53.3%	(.f32 (sqrt.f32 (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal -1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	92.8%	(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.0%	(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	87.3%	(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	56.4%	(.f32 (exp.f32 (.f32 (log.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.8%	(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	90.2%	(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.6%	(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	5.7%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1) (.f32 #s(literal -1 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	5.7%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (.f32 #s(literal -1 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	3.8%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
▶	5.7%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	78.1%	#s(approx (* (sqrt (neg (- (log (- 1 (pow u1 3))) (log (+ 1 (+ (* u1 u1) u1)))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32))))))
	89.8%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (fma.f32 (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (fma.f32 (.f32 #s(literal 2/3 binary32) (.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))) (.f32 u2 u2) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1))))))
	87.0%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))))))
	98.6%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2)))))
	78.2%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
	52.7%	#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (fma.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 (.f32 #s(literal 2/3 binary32) (.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))) (.f32 u2 u2) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))))
	48.0%	#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))

Compiler

Compiled 2 061 to 1 643 computations (20.3% saved)

simplify147.0ms (1.3%)

Memory

19.9MiB live, 201.4MiB allocated; 22ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f32 (log.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))))
cost-diff	0	(.f32 (sqrt.f32 (log.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff	2	(log.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))
cost-diff	6	(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
cost-diff	0	(sqrt.f32 (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal -1 binary32)))))
cost-diff	0	(.f32 (sqrt.f32 (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal -1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff	1	(/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)))
cost-diff	1	(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal -1 binary32)))
cost-diff	0	(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
cost-diff	0	#s(approx (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))
cost-diff	0	(sqrt.f32 #s(approx (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)))
cost-diff	0	(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff	0	(sqrt.f32 u1)
cost-diff	0	#s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1)))
cost-diff	0	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
cost-diff	1	(*.f32 #s(literal -1 binary32) (sqrt.f32 u1))
cost-diff	0	(neg.f32 (-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))
cost-diff	0	(sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))))
cost-diff	0	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))) (sin.f32 (fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
cost-diff	3	(sin.f32 (fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	443
0	110	410
1	160	402
2	281	399
3	749	399
4	3542	399
0	8207	393

Stop Event

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

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))) (sin.f32 (fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))))
(neg.f32 (-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))
(-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))
(log1p.f32 (*.f32 (neg.f32 u1) u1))
(*.f32 (neg.f32 u1) u1)
(neg.f32 u1)
u1
(log1p.f32 u1)
(sin.f32 (fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32))))
(fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))
#s(literal -2 binary32)
(*.f32 u2 (PI.f32))
u2
(PI.f32)
(/.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1)))
(*.f32 #s(literal -1 binary32) (sqrt.f32 u1))
#s(literal -1 binary32)
(sqrt.f32 u1)
u1
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
#s(literal 1 binary32)
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 #s(approx (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)))
#s(approx (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
(fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32))
(fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32))
(fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32))
#s(literal 1/4 binary32)
u1
#s(literal 1/3 binary32)
#s(literal 1/2 binary32)
#s(literal 1 binary32)
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
(.f32 (sqrt.f32 (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal -1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal -1 binary32)))))
(log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal -1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)))
#s(literal 1 binary32)
(fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))
(neg.f32 u1)
u1
(-.f32 u1 #s(literal -1 binary32))
#s(literal -1 binary32)
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
(.f32 (sqrt.f32 (log.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (log.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))))
(log.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
(pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
#s(literal -1/2 binary32)
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2

Outputs
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))) (sin.f32 (fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal -2 binary32))) (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))))
(sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))))
(neg.f32 (-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))
(-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))
(log1p.f32 (*.f32 (neg.f32 u1) u1))
(*.f32 (neg.f32 u1) u1)
(neg.f32 u1)
u1
(log1p.f32 u1)
(sin.f32 (fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32))))
(cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal -2 binary32)))
(fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 (.f32 (PI.f32) u2) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))
#s(literal -2 binary32)
(*.f32 u2 (PI.f32))
(*.f32 (PI.f32) u2)
u2
(PI.f32)
(/.f32 (PI.f32) #s(literal 2 binary32))
(*.f32 #s(literal 1/2 binary32) (PI.f32))
#s(literal 2 binary32)
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)) #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))))
#s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1)))
#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
(*.f32 #s(literal -1 binary32) (sqrt.f32 u1))
(neg.f32 (sqrt.f32 u1))
#s(literal -1 binary32)
(sqrt.f32 u1)
u1
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
#s(literal 1 binary32)
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal -2 binary32))) (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
(sqrt.f32 #s(approx (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)))
#s(approx (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
(fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32))
(fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32))
(fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32))
#s(literal 1/4 binary32)
u1
#s(literal 1/3 binary32)
#s(literal 1/2 binary32)
#s(literal 1 binary32)
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal -2 binary32)))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
(.f32 (sqrt.f32 (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal -1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))))) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal -2 binary32))))
(sqrt.f32 (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal -1 binary32)))))
(sqrt.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)))))
(log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal -1 binary32))))
(log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal -1 binary32)))
(/.f32 (-.f32 u1 #s(literal -1 binary32)) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)))
#s(literal 1 binary32)
(fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))
(neg.f32 u1)
u1
(-.f32 u1 #s(literal -1 binary32))
#s(literal -1 binary32)
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal -2 binary32)))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
(.f32 (sqrt.f32 (log.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal -2 binary32))))
(sqrt.f32 (log.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(log.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
(pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
#s(literal -1/2 binary32)
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal -2 binary32)))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2

localize267.0ms (2.4%)

Memory

5.5MiB live, 195.4MiB allocated; 33ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.17592891294222693	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
accuracy	0.26953125	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	0.37109375	(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
accuracy	15.36420549280112	(log.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))
accuracy	0.16015625	(.f32 (sqrt.f32 (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal -1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy	0.17592891294222693	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
accuracy	0.26953125	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	15.36420549280112	(log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal -1 binary32))))
accuracy	0.21875	(fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32))
accuracy	0.25390625	(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
accuracy	0.26953125	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	2.149809264696686	#s(approx (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))
accuracy	0.0	(sqrt.f32 u1)
accuracy	0.16015625	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
accuracy	7.034538633675919	#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
accuracy	30.892578099378984	#s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1)))
accuracy	0.16015625	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))) (sin.f32 (fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
accuracy	0.2578125	(-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))
accuracy	0.26953125	(*.f32 u2 (PI.f32))
accuracy	0.5068850141111242	(fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))

Samples

198.0ms

256×

valid

Compiler

Compiled 442 to 57 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 136.0ms

ival-add: 36.0ms (26.5% of total)

ival-mult: 24.0ms (17.7% of total)

ival-log1p: 24.0ms (17.7% of total)

ival-log: 11.0ms (8.1% of total)

ival-sin: 9.0ms (6.6% of total)

ival-sqrt: 8.0ms (5.9% of total)

ival-pow: 5.0ms (3.7% of total)

const: 4.0ms (2.9% of total)

ival-cosu: 4.0ms (2.9% of total)

ival-div: 3.0ms (2.2% of total)

ival-sub: 3.0ms (2.2% of total)

ival-neg: 3.0ms (2.2% of total)

ival-pi: 1.0ms (0.7% of total)

exact: 1.0ms (0.7% of total)

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

adjust: 0.0ms (0% of total)

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

series140.0ms (1.2%)

Memory

-12.3MiB live, 132.0MiB allocated; 18ms collecting garbage

Counts

28 → 177

Calls

Call 1

Inputs
(sin.f32 (fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))) (sin.f32 (fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))))
(neg.f32 (-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))
(*.f32 #s(literal -1 binary32) (sqrt.f32 u1))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1)))
(sqrt.f32 u1)
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 #s(approx (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)))
#s(approx (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)))
(.f32 (sqrt.f32 (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal -1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal -1 binary32)))))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
(log.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))
(.f32 (sqrt.f32 (log.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (log.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))))
(fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 u2 (PI.f32))
(-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32))
(log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal -1 binary32))))
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))

Outputs
(* (sqrt u1) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))))
(+ (* 1/4 (* (sqrt (pow u1 3)) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))))) (* (sqrt u1) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI))))))
(+ (* (sqrt u1) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))))))))
(+ (* (sqrt u1) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))))) (* 1/2 (* (sqrt u1) (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/4 (* 1/16 (/ 1 u1))))))))))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(* -1 (sqrt u1))
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))
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(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1))))) (log (/ -1 u1)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (log (/ -1 u1)))))
(sqrt (log (/ -1 u1)))
(+ (sqrt (log (/ -1 u1))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))))
(+ (sqrt (log (/ -1 u1))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* -1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)))
(+ (sqrt (log (/ -1 u1))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1))))))) (* 1/2 (* (/ (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1))))) (log (/ -1 u1))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* -1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)))
(log (/ -1 u1))
(+ (log (/ -1 u1)) (/ 1 u1))
(+ (log (/ -1 u1)) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))
(+ (log (/ -1 u1)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)))
(- (* -2 (log (/ -1 u1))) (* -1 (log (/ -1 u1))))
(- (* -2 (log (/ -1 u1))) (+ (* -1 (log (/ -1 u1))) (/ 1 u1)))
(- (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))) (* -1 (log (/ -1 u1))))
(- (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1))) (* -1 (log (/ -1 u1))))
(sin (* 1/2 (PI)))
(+ (sin (* 1/2 (PI))) (* -2 (* u2 (* (PI) (cos (* 1/2 (PI)))))))
(+ (sin (* 1/2 (PI))) (* u2 (+ (* -2 (* u2 (* (pow (PI) 2) (sin (* 1/2 (PI)))))) (* -2 (* (PI) (cos (* 1/2 (PI))))))))
(+ (sin (* 1/2 (PI))) (* u2 (+ (* -2 (* (PI) (cos (* 1/2 (PI))))) (* u2 (+ (* -2 (* (pow (PI) 2) (sin (* 1/2 (PI))))) (* 4/3 (* u2 (* (pow (PI) 3) (cos (* 1/2 (PI)))))))))))
(* (sin (* 1/2 (PI))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(+ (* -2 (* (* u2 (* (PI) (cos (* 1/2 (PI))))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* (sin (* 1/2 (PI))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2))))))))
(+ (* u2 (+ (* -2 (* (* u2 (* (pow (PI) 2) (sin (* 1/2 (PI))))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* -2 (* (* (PI) (cos (* 1/2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))))) (* (sin (* 1/2 (PI))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2))))))))
(+ (* u2 (+ (* -2 (* (* (PI) (cos (* 1/2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* u2 (+ (* -2 (* (* (pow (PI) 2) (sin (* 1/2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* 4/3 (* (* u2 (* (pow (PI) 3) (cos (* 1/2 (PI))))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))))))) (* (sin (* 1/2 (PI))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2))))))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2))))))
(+ (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))))
(+ (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))))))
(+ (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* 2/3 (* (pow (PI) 4) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))))))))
(sqrt (log (/ (+ 1 u1) (+ 1 (* -1 (pow u1 2))))))
(+ (sqrt (log (/ (+ 1 u1) (+ 1 (* -1 (pow u1 2)))))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log (/ (+ 1 u1) (+ 1 (* -1 (pow u1 2)))))))))
(+ (sqrt (log (/ (+ 1 u1) (+ 1 (* -1 (pow u1 2)))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (/ (+ 1 u1) (+ 1 (* -1 (pow u1 2)))))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (log (/ (+ 1 u1) (+ 1 (* -1 (pow u1 2)))))))))))
(+ (sqrt (log (/ (+ 1 u1) (+ 1 (* -1 (pow u1 2)))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (/ (+ 1 u1) (+ 1 (* -1 (pow u1 2)))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (log (/ (+ 1 u1) (+ 1 (* -1 (pow u1 2)))))))) (* 2/3 (* (pow (PI) 4) (sqrt (log (/ (+ 1 u1) (+ 1 (* -1 (pow u1 2)))))))))))))
(sqrt (log (/ 1 (- 1 u1))))
(+ (sqrt (log (/ 1 (- 1 u1)))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log (/ 1 (- 1 u1)))))))
(+ (sqrt (log (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (/ 1 (- 1 u1)))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (log (/ 1 (- 1 u1)))))))))
(+ (sqrt (log (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (/ 1 (- 1 u1)))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (log (/ 1 (- 1 u1)))))) (* 2/3 (* (pow (PI) 4) (sqrt (log (/ 1 (- 1 u1)))))))))))
(* 1/2 (PI))
(+ (* -2 (* u2 (PI))) (* 1/2 (PI)))
(* u2 (PI))
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(* 2 (* u2 (PI)))
(sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI))))
(* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (/ (+ 1 u1) (+ 1 (* -1 (pow u1 2)))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (/ 1 (- 1 u1)))))
(* -2 (* u2 (PI)))
(* u2 (+ (* -2 (PI)) (* 1/2 (/ (PI) u2))))
(cos (* 2 (* u2 (PI))))
(* -1 (* u2 (+ (* -1/2 (/ (PI) u2)) (* 2 (PI)))))

Calls

9 calls:

Time	Variable		Point	Expression
57.0ms	u2	@	inf	((sin (+ (* -2 (* u2 (PI))) (/ (PI) 2))) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1)))) (* -1 (sqrt u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (sqrt u1) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1)))) (* (+ (* (+ (* (+ (* 1/4 u1) 1/3) u1) 1/2) u1) 1) u1) (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1)) (/ 1 (+ (* (neg u1) u1) 1)) (* (sqrt (log (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1)))) (cos (* (* 2 (PI)) u2))) (sqrt (log (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1)))) (* (pow (- 1 u1) -1/2) (pow (- 1 u1) -1/2)) (log (* (pow (- 1 u1) -1/2) (pow (- 1 u1) -1/2))) (* (sqrt (log (* (pow (- 1 u1) -1/2) (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (sqrt (log (* (pow (- 1 u1) -1/2) (pow (- 1 u1) -1/2)))) (+ (* -2 (* u2 (PI))) (/ (PI) 2)) (* u2 (PI)) (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))) (cos (* (* 2 (PI)) u2)) (* (* 2 (PI)) u2) (+ (* 1/4 u1) 1/3) (log (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1))) (cos (* (* 2 (PI)) u2)))
40.0ms	u2	@	-inf	((sin (+ (* -2 (* u2 (PI))) (/ (PI) 2))) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1)))) (* -1 (sqrt u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (sqrt u1) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1)))) (* (+ (* (+ (* (+ (* 1/4 u1) 1/3) u1) 1/2) u1) 1) u1) (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1)) (/ 1 (+ (* (neg u1) u1) 1)) (* (sqrt (log (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1)))) (cos (* (* 2 (PI)) u2))) (sqrt (log (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1)))) (* (pow (- 1 u1) -1/2) (pow (- 1 u1) -1/2)) (log (* (pow (- 1 u1) -1/2) (pow (- 1 u1) -1/2))) (* (sqrt (log (* (pow (- 1 u1) -1/2) (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (sqrt (log (* (pow (- 1 u1) -1/2) (pow (- 1 u1) -1/2)))) (+ (* -2 (* u2 (PI))) (/ (PI) 2)) (* u2 (PI)) (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))) (cos (* (* 2 (PI)) u2)) (* (* 2 (PI)) u2) (+ (* 1/4 u1) 1/3) (log (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1))) (cos (* (* 2 (PI)) u2)))
25.0ms	u1	@	-inf	((sin (+ (* -2 (* u2 (PI))) (/ (PI) 2))) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1)))) (* -1 (sqrt u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (sqrt u1) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1)))) (* (+ (* (+ (* (+ (* 1/4 u1) 1/3) u1) 1/2) u1) 1) u1) (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1)) (/ 1 (+ (* (neg u1) u1) 1)) (* (sqrt (log (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1)))) (cos (* (* 2 (PI)) u2))) (sqrt (log (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1)))) (* (pow (- 1 u1) -1/2) (pow (- 1 u1) -1/2)) (log (* (pow (- 1 u1) -1/2) (pow (- 1 u1) -1/2))) (* (sqrt (log (* (pow (- 1 u1) -1/2) (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (sqrt (log (* (pow (- 1 u1) -1/2) (pow (- 1 u1) -1/2)))) (+ (* -2 (* u2 (PI))) (/ (PI) 2)) (* u2 (PI)) (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))) (cos (* (* 2 (PI)) u2)) (* (* 2 (PI)) u2) (+ (* 1/4 u1) 1/3) (log (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1))) (cos (* (* 2 (PI)) u2)))
6.0ms	u2	@	0	((sin (+ (* -2 (* u2 (PI))) (/ (PI) 2))) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1)))) (* -1 (sqrt u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (sqrt u1) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1)))) (* (+ (* (+ (* (+ (* 1/4 u1) 1/3) u1) 1/2) u1) 1) u1) (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1)) (/ 1 (+ (* (neg u1) u1) 1)) (* (sqrt (log (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1)))) (cos (* (* 2 (PI)) u2))) (sqrt (log (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1)))) (* (pow (- 1 u1) -1/2) (pow (- 1 u1) -1/2)) (log (* (pow (- 1 u1) -1/2) (pow (- 1 u1) -1/2))) (* (sqrt (log (* (pow (- 1 u1) -1/2) (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (sqrt (log (* (pow (- 1 u1) -1/2) (pow (- 1 u1) -1/2)))) (+ (* -2 (* u2 (PI))) (/ (PI) 2)) (* u2 (PI)) (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))) (cos (* (* 2 (PI)) u2)) (* (* 2 (PI)) u2) (+ (* 1/4 u1) 1/3) (log (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1))) (cos (* (* 2 (PI)) u2)))
4.0ms	u1	@	inf	((sin (+ (* -2 (* u2 (PI))) (/ (PI) 2))) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1)))) (* -1 (sqrt u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (sqrt u1) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1)))) (* (+ (* (+ (* (+ (* 1/4 u1) 1/3) u1) 1/2) u1) 1) u1) (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1)) (/ 1 (+ (* (neg u1) u1) 1)) (* (sqrt (log (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1)))) (cos (* (* 2 (PI)) u2))) (sqrt (log (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1)))) (* (pow (- 1 u1) -1/2) (pow (- 1 u1) -1/2)) (log (* (pow (- 1 u1) -1/2) (pow (- 1 u1) -1/2))) (* (sqrt (log (* (pow (- 1 u1) -1/2) (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (sqrt (log (* (pow (- 1 u1) -1/2) (pow (- 1 u1) -1/2)))) (+ (* -2 (* u2 (PI))) (/ (PI) 2)) (* u2 (PI)) (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))) (cos (* (* 2 (PI)) u2)) (* (* 2 (PI)) u2) (+ (* 1/4 u1) 1/3) (log (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1))) (cos (* (* 2 (PI)) u2)))

simplify186.0ms (1.6%)

Memory

41.3MiB live, 173.7MiB allocated; 13ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	805	5819
1	2845	4677
0	8954	4432

Stop Event

1×	iter limit
1×	node limit

Counts

177 → 176

Calls

Call 1

Inputs
(* (sqrt u1) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))))
(+ (* 1/4 (* (sqrt (pow u1 3)) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))))) (* (sqrt u1) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI))))))
(+ (* (sqrt u1) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))))))))
(+ (* (sqrt u1) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))))) (* 1/2 (* (sqrt u1) (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/4 (* 1/16 (/ 1 u1))))))))))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(* -1 (sqrt u1))
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))
1
(+ 1 u1)
(+ 1 (* u1 (+ 1 u1)))
(+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))
(+ 1 (pow u1 2))
(+ 1 (* (pow u1 2) (+ 1 (pow u1 2))))
(+ 1 (* (pow u1 2) (+ 1 (* (pow u1 2) (+ 1 (pow u1 2))))))
(* -1 u1)
(* u1 (- (* -1/2 u1) 1))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
1/3
(+ 1/3 (* 1/4 u1))
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(- (* -2 (log (/ -1 u1))) (+ (* -1 (log (/ -1 u1))) (/ 1 u1)))
(- (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))) (* -1 (log (/ -1 u1))))
(- (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1))) (* -1 (log (/ -1 u1))))
(sin (* 1/2 (PI)))
(+ (sin (* 1/2 (PI))) (* -2 (* u2 (* (PI) (cos (* 1/2 (PI)))))))
(+ (sin (* 1/2 (PI))) (* u2 (+ (* -2 (* u2 (* (pow (PI) 2) (sin (* 1/2 (PI)))))) (* -2 (* (PI) (cos (* 1/2 (PI))))))))
(+ (sin (* 1/2 (PI))) (* u2 (+ (* -2 (* (PI) (cos (* 1/2 (PI))))) (* u2 (+ (* -2 (* (pow (PI) 2) (sin (* 1/2 (PI))))) (* 4/3 (* u2 (* (pow (PI) 3) (cos (* 1/2 (PI)))))))))))
(* (sin (* 1/2 (PI))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(+ (* -2 (* (* u2 (* (PI) (cos (* 1/2 (PI))))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* (sin (* 1/2 (PI))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2))))))))
(+ (* u2 (+ (* -2 (* (* u2 (* (pow (PI) 2) (sin (* 1/2 (PI))))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* -2 (* (* (PI) (cos (* 1/2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))))) (* (sin (* 1/2 (PI))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2))))))))
(+ (* u2 (+ (* -2 (* (* (PI) (cos (* 1/2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* u2 (+ (* -2 (* (* (pow (PI) 2) (sin (* 1/2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* 4/3 (* (* u2 (* (pow (PI) 3) (cos (* 1/2 (PI))))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))))))) (* (sin (* 1/2 (PI))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2))))))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2))))))
(+ (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))))
(+ (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))))))
(+ (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* 2/3 (* (pow (PI) 4) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))))))))
(sqrt (log (/ (+ 1 u1) (+ 1 (* -1 (pow u1 2))))))
(+ (sqrt (log (/ (+ 1 u1) (+ 1 (* -1 (pow u1 2)))))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log (/ (+ 1 u1) (+ 1 (* -1 (pow u1 2)))))))))
(+ (sqrt (log (/ (+ 1 u1) (+ 1 (* -1 (pow u1 2)))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (/ (+ 1 u1) (+ 1 (* -1 (pow u1 2)))))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (log (/ (+ 1 u1) (+ 1 (* -1 (pow u1 2)))))))))))
(+ (sqrt (log (/ (+ 1 u1) (+ 1 (* -1 (pow u1 2)))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (/ (+ 1 u1) (+ 1 (* -1 (pow u1 2)))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (log (/ (+ 1 u1) (+ 1 (* -1 (pow u1 2)))))))) (* 2/3 (* (pow (PI) 4) (sqrt (log (/ (+ 1 u1) (+ 1 (* -1 (pow u1 2)))))))))))))
(sqrt (log (/ 1 (- 1 u1))))
(+ (sqrt (log (/ 1 (- 1 u1)))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log (/ 1 (- 1 u1)))))))
(+ (sqrt (log (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (/ 1 (- 1 u1)))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (log (/ 1 (- 1 u1)))))))))
(+ (sqrt (log (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (/ 1 (- 1 u1)))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (log (/ 1 (- 1 u1)))))) (* 2/3 (* (pow (PI) 4) (sqrt (log (/ 1 (- 1 u1)))))))))))
(* 1/2 (PI))
(+ (* -2 (* u2 (PI))) (* 1/2 (PI)))
(* u2 (PI))
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(* 2 (* u2 (PI)))
(sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI))))
(* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (/ (+ 1 u1) (+ 1 (* -1 (pow u1 2)))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (/ 1 (- 1 u1)))))
(* -2 (* u2 (PI)))
(* u2 (+ (* -2 (PI)) (* 1/2 (/ (PI) u2))))
(cos (* 2 (* u2 (PI))))
(* -1 (* u2 (+ (* -1/2 (/ (PI) u2)) (* 2 (PI)))))

Outputs
(* (sqrt u1) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))))
(.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))) (sqrt.f32 u1))
(+ (* 1/4 (* (sqrt (pow u1 3)) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))))) (* (sqrt u1) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI))))))
(.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1)))
(+ (* (sqrt u1) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))))))))
(fma.f32 (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (.f32 u1 u1) (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))))) (* 1/2 (* (sqrt u1) (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))
(fma.f32 (fma.f32 (.f32 #s(literal 1/4 binary32) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))) #s(literal 1/6 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 u1)) (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))) u1)) (.f32 u1 u1) (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))) (sqrt.f32 u1)))
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))
(fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/4 (* 1/16 (/ 1 u1))))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))
u1
(* u1 (+ 1 (* 1/2 u1)))
(*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1)
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
(* -1 (sqrt u1))
(neg.f32 (sqrt.f32 u1))
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(fma.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) u2)) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32)))) #s(literal -1/4 binary32) (.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) u2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(fma.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) u2)) (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1)))) (.f32 u1 u1) (.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) u2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(fma.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) u2)) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (cos.f32 (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) u2)) (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)))) (sqrt.f32 u1) (.f32 (.f32 #s(literal -1/6 binary32) (cos.f32 (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 (.f32 #s(literal -1/4 binary32) (cos.f32 (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1)))
(* (sqrt u1) (pow (sqrt -1) 2))
(neg.f32 (sqrt.f32 u1))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (neg.f32 (sqrt.f32 u1)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(fma.f32 (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (neg.f32 (sqrt.f32 u1)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
(fma.f32 (fma.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1) (neg.f32 (sqrt.f32 u1)))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(.f32 (cos.f32 (.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2)) (sqrt.f32 u1))
(+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))
(.f32 (cos.f32 (.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1)))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))
(fma.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) u2)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (.f32 u1 u1) (.f32 (cos.f32 (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) u2)) (sqrt.f32 u1)))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))
(fma.f32 (fma.f32 (.f32 #s(literal 1/4 binary32) (cos.f32 (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 (.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) u2))) (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32)) (cos.f32 (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) u2)))) u1)) (.f32 u1 u1) (.f32 (cos.f32 (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) u2)) (sqrt.f32 u1)))
1
#s(literal 1 binary32)
(+ 1 u1)
(+.f32 #s(literal 1 binary32) u1)
(+ 1 (* u1 (+ 1 u1)))
(fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))
(+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))
(fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32))
(+ 1 (pow u1 2))
(fma.f32 u1 u1 #s(literal 1 binary32))
(+ 1 (* (pow u1 2) (+ 1 (pow u1 2))))
(fma.f32 u1 u1 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)))
(+ 1 (* (pow u1 2) (+ 1 (* (pow u1 2) (+ 1 (pow u1 2))))))
(fma.f32 u1 u1 (fma.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 1 binary32)))
(* -1 u1)
(neg.f32 u1)
(* u1 (- (* -1/2 u1) 1))
(.f32 (-.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 1 binary32)) u1)
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(.f32 (-.f32 (.f32 (fma.f32 #s(literal -1/3 binary32) u1 #s(literal -1/2 binary32)) u1) #s(literal 1 binary32)) u1)
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(.f32 (-.f32 (.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) u1 #s(literal -1/3 binary32)) u1 #s(literal -1/2 binary32)) u1) #s(literal 1 binary32)) u1)
1/3
#s(literal 1/3 binary32)
(+ 1/3 (* 1/4 u1))
(fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32))
(* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))
(.f32 (sqrt.f32 (-.f32 (log.f32 u1) (-.f32 (log.f32 #s(literal -1 binary32)) (.f32 (log.f32 u1) #s(literal -2 binary32))))) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))))
(+ (* 1/2 (* (/ (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))
(fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (log.f32 u1) (-.f32 (log.f32 #s(literal -1 binary32)) (.f32 (log.f32 u1) #s(literal -2 binary32)))))) (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))) u1)) #s(literal 1/2 binary32) (.f32 (sqrt.f32 (-.f32 (log.f32 u1) (-.f32 (log.f32 #s(literal -1 binary32)) (.f32 (log.f32 u1) #s(literal -2 binary32))))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
(+ (* 1/2 (* (/ (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))))
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(-.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (/.f32 #s(literal 1 binary32) u1))
(- (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))) (* -1 (log (/ -1 u1))))
(+.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) u1) #s(literal -1 binary32) #s(literal -1 binary32)) u1) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(- (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1))) (* -1 (log (/ -1 u1))))
(fma.f32 (/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 1/2 binary32) u1)) u1) #s(literal -1 binary32) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(sin (* 1/2 (PI)))
(sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(+ (sin (* 1/2 (PI))) (* -2 (* u2 (* (PI) (cos (* 1/2 (PI)))))))
(fma.f32 (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) u2) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32))) (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))))
(+ (sin (* 1/2 (PI))) (* u2 (+ (* -2 (* u2 (* (pow (PI) 2) (sin (* 1/2 (PI)))))) (* -2 (* (PI) (cos (* 1/2 (PI))))))))
(fma.f32 (.f32 u2 #s(literal -2 binary32)) (fma.f32 (.f32 (.f32 (PI.f32) u2) (PI.f32)) (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (.f32 (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32))) (PI.f32))) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))
(+ (sin (* 1/2 (PI))) (* u2 (+ (* -2 (* (PI) (cos (* 1/2 (PI))))) (* u2 (+ (* -2 (* (pow (PI) 2) (sin (* 1/2 (PI))))) (* 4/3 (* u2 (* (pow (PI) 3) (cos (* 1/2 (PI)))))))))))
(fma.f32 (fma.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32))) (.f32 (fma.f32 (.f32 #s(literal 4/3 binary32) (.f32 u2 (pow.f32 (PI.f32) #s(literal 3 binary32)))) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))))) u2)) u2 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))
(* (sin (* 1/2 (PI))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))
(+ (* -2 (* (* u2 (* (PI) (cos (* 1/2 (PI))))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* (sin (* 1/2 (PI))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2))))))))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (fma.f32 (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) u2) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32))) (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))))
(+ (* u2 (+ (* -2 (* (* u2 (* (pow (PI) 2) (sin (* 1/2 (PI))))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* -2 (* (* (PI) (cos (* 1/2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))))) (* (sin (* 1/2 (PI))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2))))))))
(fma.f32 (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (.f32 #s(literal -2 binary32) (fma.f32 (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32))) (PI.f32) (.f32 (.f32 (.f32 (PI.f32) u2) (PI.f32)) (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))))))) u2 (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
(+ (* u2 (+ (* -2 (* (* (PI) (cos (* 1/2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* u2 (+ (* -2 (* (* (pow (PI) 2) (sin (* 1/2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* 4/3 (* (* u2 (* (pow (PI) 3) (cos (* 1/2 (PI))))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))))))) (* (sin (* 1/2 (PI))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2))))))))
(fma.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (fma.f32 (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) u2) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32))) (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))) (.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (fma.f32 (.f32 #s(literal 4/3 binary32) (.f32 u2 (pow.f32 (PI.f32) #s(literal 3 binary32)))) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))))))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(*.f32 (sqrt.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 #s(literal -1 binary32)))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(.f32 (sqrt.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 (.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -1 binary32))) (.f32 (PI.f32) (PI.f32))) (*.f32 u2 u2) (sqrt.f32 #s(literal -1 binary32))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(fma.f32 (.f32 (sqrt.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal 2/3 binary32) (.f32 u2 u2)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (sqrt.f32 #s(literal -1 binary32))) (.f32 (.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -1 binary32))) (.f32 (PI.f32) (PI.f32))))) (.f32 u2 u2) (*.f32 (sqrt.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 #s(literal -1 binary32))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(fma.f32 (sqrt.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 (.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -1 binary32))) (.f32 (PI.f32) (PI.f32))) (.f32 u2 u2) (sqrt.f32 #s(literal -1 binary32))) (.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) (.f32 (sqrt.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal 2/3 binary32) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (.f32 #s(literal -4/45 binary32) (.f32 u2 u2)) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (sqrt.f32 #s(literal -1 binary32))))))))
(sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2))))))
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))))
(+ (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
(+ (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))))))
(fma.f32 (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (fma.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))) (.f32 u2 u2) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))))
(+ (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* 2/3 (* (pow (PI) 4) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))))))))
(fma.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (fma.f32 (.f32 #s(literal -4/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32))))))
(sqrt (log (/ (+ 1 u1) (+ 1 (* -1 (pow u1 2))))))
(sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(+ (sqrt (log (/ (+ 1 u1) (+ 1 (* -1 (pow u1 2)))))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log (/ (+ 1 u1) (+ 1 (* -1 (pow u1 2)))))))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
(+ (sqrt (log (/ (+ 1 u1) (+ 1 (* -1 (pow u1 2)))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (/ (+ 1 u1) (+ 1 (* -1 (pow u1 2)))))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (log (/ (+ 1 u1) (+ 1 (* -1 (pow u1 2)))))))))))
(fma.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))) (fma.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))) (.f32 u2 u2) (sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))))
(+ (sqrt (log (/ (+ 1 u1) (+ 1 (* -1 (pow u1 2)))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (/ (+ 1 u1) (+ 1 (* -1 (pow u1 2)))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (log (/ (+ 1 u1) (+ 1 (* -1 (pow u1 2)))))))) (* 2/3 (* (pow (PI) 4) (sqrt (log (/ (+ 1 u1) (+ 1 (* -1 (pow u1 2)))))))))))))
(fma.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))) (.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) (.f32 (sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))) (fma.f32 (.f32 #s(literal -4/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32))))))
(sqrt (log (/ 1 (- 1 u1))))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
(+ (sqrt (log (/ 1 (- 1 u1)))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log (/ 1 (- 1 u1)))))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
(+ (sqrt (log (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (/ 1 (- 1 u1)))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (log (/ 1 (- 1 u1)))))))))
(fma.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))) (.f32 u2 u2) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
(+ (sqrt (log (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (/ 1 (- 1 u1)))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (log (/ 1 (- 1 u1)))))) (* 2/3 (* (pow (PI) 4) (sqrt (log (/ 1 (- 1 u1)))))))))))
(fma.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 (.f32 #s(literal -4/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32))))))
(* 1/2 (PI))
(*.f32 #s(literal 1/2 binary32) (PI.f32))
(+ (* -2 (* u2 (PI))) (* 1/2 (PI)))
(*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))
(* u2 (PI))
(*.f32 (PI.f32) u2)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(fma.f32 (fma.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (*.f32 u2 u2) #s(literal 1 binary32))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(fma.f32 (fma.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (PI.f32) (.f32 (fma.f32 (.f32 #s(literal -4/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32))) (.f32 u2 u2))) (*.f32 u2 u2) #s(literal 1 binary32))
(* 2 (* u2 (PI)))
(.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))
(sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI))))
(sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))
(* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (sqrt.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) u2))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) u2)))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (/ (+ 1 u1) (+ 1 (* -1 (pow u1 2)))))))
(.f32 (sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))) (cos.f32 (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) u2)))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (/ 1 (- 1 u1)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2)))
(* -2 (* u2 (PI)))
(.f32 (.f32 #s(literal -2 binary32) (PI.f32)) u2)
(* u2 (+ (* -2 (PI)) (* 1/2 (/ (PI) u2))))
(.f32 (fma.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32) (.f32 #s(literal -2 binary32) (PI.f32))) u2)
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) u2))
(* -1 (* u2 (+ (* -1/2 (/ (PI) u2)) (* 2 (PI)))))
(.f32 (neg.f32 u2) (fma.f32 (/.f32 (PI.f32) u2) #s(literal -1/2 binary32) (.f32 (PI.f32) #s(literal 2 binary32))))

rewrite71.0ms (0.6%)

Memory

-31.2MiB live, 24.4MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	333
0	110	272
0	321	272

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

28 → 75

Calls

Call 1

Inputs
(sin.f32 (fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))) (sin.f32 (fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))))
(neg.f32 (-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))
(*.f32 #s(literal -1 binary32) (sqrt.f32 u1))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1)))
(sqrt.f32 u1)
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 #s(approx (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)))
#s(approx (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)))
(.f32 (sqrt.f32 (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal -1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal -1 binary32)))))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
(log.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))
(.f32 (sqrt.f32 (log.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (log.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))))
(fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 u2 (PI.f32))
(-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32))
(log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal -1 binary32))))
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))

Outputs
(fma.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) #s(literal -2 binary32))) (cos.f32 (/.f32 (PI.f32) #s(literal 2 binary32))) (.f32 (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal -2 binary32))) (sin.f32 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(sin.f32 (fma.f32 (*.f32 (PI.f32) u2) #s(literal -2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))))
(+.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) #s(literal -2 binary32))) (cos.f32 (/.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal -2 binary32))) (sin.f32 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal -2 binary32)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal -2 binary32))))
(.f32 (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal -2 binary32))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
(pow.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))
(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (sqrt.f32 u1))
(neg.f32 (sqrt.f32 u1))
(.f32 #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)) #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
(sqrt.f32 u1)
(pow.f32 u1 #s(literal 1/2 binary32))
(.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 #s(approx (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)))
(pow.f32 #s(approx (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)) #s(literal 1/2 binary32))
#s(approx (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
(*.f32 u1 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)))
(*.f32 (-.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal -1 binary32)))
(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))))
(pow.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) #s(literal -1 binary32))
(.f32 (sqrt.f32 (log.f32 (.f32 (-.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (log.f32 (.f32 (-.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)))))))
(sqrt.f32 (log.f32 (*.f32 (-.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))))))
(pow.f32 (log.f32 (*.f32 (-.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))))) #s(literal 1/2 binary32))
(*.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))
(*.f32 (fabs.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (fabs.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
(pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32))
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))
(log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))
(+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))
(.f32 (sqrt.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(sqrt.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(pow.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 1/2 binary32))
(/.f32 (-.f32 (.f32 (.f32 (.f32 (PI.f32) u2) #s(literal -2 binary32)) (.f32 (.f32 (PI.f32) u2) #s(literal -2 binary32))) (.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (-.f32 (.f32 (.f32 (PI.f32) u2) #s(literal -2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))))
(/.f32 (+.f32 (pow.f32 (.f32 (.f32 (PI.f32) u2) #s(literal -2 binary32)) #s(literal 3 binary32)) (pow.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) #s(literal 3 binary32))) (fma.f32 (.f32 (.f32 (PI.f32) u2) #s(literal -2 binary32)) (.f32 (.f32 (PI.f32) u2) #s(literal -2 binary32)) (-.f32 (.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))) (.f32 (.f32 (.f32 (PI.f32) u2) #s(literal -2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))))))
(fma.f32 (*.f32 #s(literal -2 binary32) u2) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 (*.f32 (PI.f32) u2) #s(literal -2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2) (/.f32 (PI.f32) #s(literal 2 binary32)))
(+.f32 (.f32 (.f32 (PI.f32) u2) #s(literal -2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))
(+.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (.f32 (.f32 (PI.f32) u2) #s(literal -2 binary32)))
(*.f32 (PI.f32) u2)
(*.f32 u2 (PI.f32))
(log.f32 (-.f32 #s(literal 1 binary32) u1))
(/.f32 (-.f32 (.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 (.f32 (neg.f32 u1) u1))) (.f32 (log1p.f32 u1) (log1p.f32 u1))) (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (fma.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 (.f32 (neg.f32 u1) u1)) (fma.f32 (log1p.f32 u1) (log1p.f32 u1) (.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))))
(-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))
(.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))
(/.f32 (-.f32 (.f32 (.f32 #s(literal 1/4 binary32) u1) (.f32 #s(literal 1/4 binary32) u1)) #s(literal 1/9 binary32)) (-.f32 (.f32 #s(literal 1/4 binary32) u1) #s(literal 1/3 binary32)))
(/.f32 (+.f32 (pow.f32 (.f32 #s(literal 1/4 binary32) u1) #s(literal 3 binary32)) #s(literal 1/27 binary32)) (fma.f32 (.f32 #s(literal 1/4 binary32) u1) (.f32 #s(literal 1/4 binary32) u1) (-.f32 #s(literal 1/9 binary32) (.f32 (*.f32 #s(literal 1/4 binary32) u1) #s(literal 1/3 binary32)))))
(fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32))
(fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32))
(+.f32 (*.f32 #s(literal 1/4 binary32) u1) #s(literal 1/3 binary32))
(+.f32 #s(literal 1/3 binary32) (*.f32 #s(literal 1/4 binary32) u1))
(log.f32 (*.f32 (-.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)))))
(+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)))) (log.f32 (-.f32 u1 #s(literal -1 binary32))))
(sin.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))
(cos.f32 (neg.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))

eval37.0ms (0.3%)

Memory: -0.6MiB live, 42.6MiB allocated; 5ms collecting garbage
Compiler: Compiled 10 498 to 1 211 computations (88.5% saved)

prune65.0ms (0.6%)

Memory

25.2MiB live, 69.9MiB allocated; 5ms collecting garbage

Pruning

44 alts after pruning (39 fresh and 5 done)

	Pruned	Kept	Total
New	240	23	263
Fresh	12	16	28
Picked	3	2	5
Done	0	3	3
Total	255	44	299

Accuracy

99.9%

Counts

299 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.6%	(.f32 (sqrt.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) #s(literal 2 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (neg.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))) (-.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32))))))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) u2) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
	98.6%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))) (cos.f32 (fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) u2) (.f32 u2 (PI.f32)))))
	93.4%	(.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (- 1 (pow u1 3))) (pow.f32 (neg.f32 u1) #s(literal 3 binary32))) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	56.4%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (fma.f32 #s(literal -2 binary32) (.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
✓	56.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	51.6%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
▶	54.4%	(.f32 (sqrt.f32 (log.f32 (pow.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	54.3%	(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	49.7%	(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
✓	53.3%	(.f32 (sqrt.f32 (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal -1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.7%	(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (sin.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
	92.9%	(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (sin.f32 (fma.f32 #s(literal -2 binary32) (.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
✓	92.8%	(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.0%	(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 #s(approx (+ ( 1/4 u1) 1/3) #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.1%	(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (sin.f32 (fma.f32 #s(literal -2 binary32) (.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
	87.4%	(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (sin.f32 (fma.f32 #s(literal -2 binary32) (.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
	87.3%	(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.5%	(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) #s(approx (* (+ (* (+ (* (+ (* 1/4 u1) 1/3) u1) 1/2) u1) 1) u1) (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) u1) #s(literal -1 binary32) #s(literal -1/3 binary32)) u1)) (pow.f32 u1 #s(literal 4 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.6%	(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) #s(approx (* (+ (* (+ (* (+ (* 1/4 u1) 1/3) u1) 1/2) u1) 1) u1) (.f32 (+.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (pow.f32 u1 #s(literal 4 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.8%	(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	90.2%	(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	76.7%	(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (sin.f32 (fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
	76.6%	(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	5.7%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1) (neg.f32 (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	5.7%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (neg.f32 (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	3.8%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
▶	5.7%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	78.1%	#s(approx (* (sqrt (neg (- (log (- 1 (pow u1 3))) (log (+ 1 (+ (* u1 u1) u1)))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32))))))
	93.2%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (fma.f32 (fma.f32 (.f32 #s(literal 1/4 binary32) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))) #s(literal 1/6 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 u1)) (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))) u1)) (.f32 u1 u1) (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))) (sqrt.f32 u1))))
	90.5%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (fma.f32 (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (.f32 u1 u1) (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))) (sqrt.f32 u1))))
▶	99.0%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
	87.9%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1))))
	76.9%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))) (sqrt.f32 u1)))
	92.2%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (fma.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (fma.f32 (.f32 #s(literal -4/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)))))))
	89.8%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (fma.f32 (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (fma.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))) (.f32 u2 u2) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1))))))
	87.0%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))))))
	98.6%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) u2))))
▶	78.2%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
	52.7%	#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (fma.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 (.f32 #s(literal 2/3 binary32) (.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))) (.f32 u2 u2) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))))
	48.0%	#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
	48.9%	#s(approx (* (sqrt (log (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1)))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))))
	45.5%	#s(approx (* (sqrt (log (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))

Compiler

Compiled 3 043 to 2 379 computations (21.8% saved)

simplify131.0ms (1.2%)

Memory

-17.3MiB live, 79.8MiB allocated; 11ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32))
cost-diff	0	(log.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)))
cost-diff	0	(sqrt.f32 (log.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32))))
cost-diff	0	(.f32 (sqrt.f32 (log.f32 (pow.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff	0	(log1p.f32 u1)
cost-diff	0	(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))
cost-diff	0	(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))))
cost-diff	0	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
cost-diff	0	#s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1))
cost-diff	0	(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (sin.f32 (fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
cost-diff	1	(sin.f32 (fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32))))
cost-diff	2	(fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))
cost-diff	0	(sqrt.f32 u1)
cost-diff	0	(neg.f32 (sqrt.f32 u1))
cost-diff	0	#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
cost-diff	0	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
cost-diff	0	(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))))
cost-diff	0	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))))
cost-diff	0	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
cost-diff	1	(sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	353
0	98	344
1	143	344
2	227	344
3	441	339
4	1114	339
5	4299	339
0	8187	337

Stop Event

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

Calls

Call 1

Inputs
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))))
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))))
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))
(log1p.f32 u1)
u1
(log1p.f32 (*.f32 (neg.f32 u1) u1))
(*.f32 (neg.f32 u1) u1)
(neg.f32 u1)
(sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))
(*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))
(PI.f32)
(fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))
#s(literal -2 binary32)
u2
#s(literal 1/2 binary32)
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
(neg.f32 (sqrt.f32 u1))
(sqrt.f32 u1)
u1
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
#s(literal 1 binary32)
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (sin.f32 (fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
#s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1))
(sqrt.f32 u1)
u1
(sin.f32 (fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32))))
(fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))
#s(literal -2 binary32)
(*.f32 u2 (PI.f32))
u2
(PI.f32)
(/.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))))
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))
(log1p.f32 u1)
u1
(log1p.f32 (*.f32 (neg.f32 u1) u1))
(*.f32 (neg.f32 u1) u1)
(neg.f32 u1)
(.f32 (sqrt.f32 (log.f32 (pow.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (log.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32))))
(log.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)))
(pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32))
(*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
#s(literal -1/2 binary32)
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2

Outputs
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal -2 binary32))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1))))))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))))
(.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal -2 binary32))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))))
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))))
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))
(log1p.f32 u1)
u1
(log1p.f32 (*.f32 (neg.f32 u1) u1))
(*.f32 (neg.f32 u1) u1)
(neg.f32 u1)
(sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))
(cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal -2 binary32)))
(*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))
(*.f32 (fma.f32 u2 #s(literal -2 binary32) #s(literal 1/2 binary32)) (PI.f32))
(PI.f32)
(fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))
(fma.f32 u2 #s(literal -2 binary32) #s(literal 1/2 binary32))
#s(literal -2 binary32)
u2
#s(literal 1/2 binary32)
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)) #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))))
#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
(neg.f32 (sqrt.f32 u1))
(sqrt.f32 u1)
u1
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
#s(literal 1 binary32)
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (sin.f32 (fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal -2 binary32))) #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)))
#s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1))
(sqrt.f32 u1)
u1
(sin.f32 (fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32))))
(cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal -2 binary32)))
(fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 (fma.f32 u2 #s(literal -2 binary32) #s(literal 1/2 binary32)) (PI.f32))
#s(literal -2 binary32)
(*.f32 u2 (PI.f32))
(*.f32 (PI.f32) u2)
u2
(PI.f32)
(/.f32 (PI.f32) #s(literal 2 binary32))
(*.f32 #s(literal 1/2 binary32) (PI.f32))
#s(literal 2 binary32)
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))))
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))
(log1p.f32 u1)
u1
(log1p.f32 (*.f32 (neg.f32 u1) u1))
(*.f32 (neg.f32 u1) u1)
(neg.f32 u1)
(.f32 (sqrt.f32 (log.f32 (pow.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal -2 binary32))) (sqrt.f32 (log.f32 (pow.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))) #s(literal -1/2 binary32)))))
(sqrt.f32 (log.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32))))
(sqrt.f32 (log.f32 (pow.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))) #s(literal -1/2 binary32))))
(log.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)))
(log.f32 (pow.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))) #s(literal -1/2 binary32)))
(pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32))
(pow.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))) #s(literal -1/2 binary32))
(*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1))
(*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
#s(literal -1/2 binary32)
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal -2 binary32)))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
u2

localize174.0ms (1.5%)

Memory

1.6MiB live, 235.3MiB allocated; 47ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.17592891294222693	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
accuracy	0.26953125	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	0.41015625	(*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1))
accuracy	15.36420549280112	(log.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)))
accuracy	0.11328125	(log1p.f32 (*.f32 (neg.f32 u1) u1))
accuracy	0.12109375	(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))))
accuracy	0.2578125	(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))
accuracy	6.884636864444587	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
accuracy	0.16015625	(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (sin.f32 (fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
accuracy	0.26953125	(*.f32 u2 (PI.f32))
accuracy	0.5068850141111242	(fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))
accuracy	7.378960706197655	#s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1))
accuracy	0.0	(neg.f32 (sqrt.f32 u1))
accuracy	0.16015625	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
accuracy	7.034538633675919	#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
accuracy	30.892578099378984	#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
accuracy	0.12109375	(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))))
accuracy	0.16015625	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))))
accuracy	0.2578125	(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))
accuracy	0.39453125	(*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))

Samples

127.0ms

256×

valid

Compiler

Compiled 361 to 47 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 109.0ms

ival-sqrt: 32.0ms (29.5% of total)

ival-mult: 18.0ms (16.6% of total)

ival-div: 11.0ms (10.1% of total)

ival-sin: 9.0ms (8.3% of total)

ival-pow: 8.0ms (7.4% of total)

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

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

ival-log1p: 4.0ms (3.7% of total)

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

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

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

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

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

exact: 1.0ms (0.9% of total)

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

adjust: 0.0ms (0% of total)

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

series132.0ms (1.2%)

Memory

21.2MiB live, 161.6MiB allocated; 21ms collecting garbage

Counts

26 → 189

Calls

Call 1

Inputs
(sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))))
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
(neg.f32 (sqrt.f32 u1))
(sqrt.f32 u1)
(fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))
(sin.f32 (fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32))))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (sin.f32 (fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
#s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))
(log1p.f32 u1)
(.f32 (sqrt.f32 (log.f32 (pow.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (log.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32))))
(log.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)))
(pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32))
(*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
(*.f32 u2 (PI.f32))
(log1p.f32 (*.f32 (neg.f32 u1) u1))
(*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))

Outputs
(* (sqrt u1) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))))
(+ (* 1/4 (* (sqrt (pow u1 3)) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))))) (* (sqrt u1) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI))))))
(+ (* (sqrt u1) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))))))))
(+ (* (sqrt u1) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))))) (* 1/2 (* (sqrt u1) (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))
(* (sqrt u1) (sin (* (PI) (+ 1/2 (* -2 u2)))))
(+ (* 1/4 (* (sqrt (pow u1 3)) (sin (* (PI) (+ 1/2 (* -2 u2)))))) (* (sqrt u1) (sin (* (PI) (+ 1/2 (* -2 u2))))))
(+ (* (sqrt u1) (sin (* (PI) (+ 1/2 (* -2 u2))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (sin (* (PI) (+ 1/2 (* -2 u2)))))) (* 1/4 (* (sqrt (/ 1 u1)) (sin (* (PI) (+ 1/2 (* -2 u2)))))))))
(+ (* (sqrt u1) (sin (* (PI) (+ 1/2 (* -2 u2))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (sin (* (PI) (+ 1/2 (* -2 u2)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (sin (* (PI) (+ 1/2 (* -2 u2)))))) (* 1/2 (* (sqrt u1) (* (sin (* (PI) (+ 1/2 (* -2 u2)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/4 (* 1/16 (/ 1 u1))))))))))
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
(* -1 (sqrt u1))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(* u1 (+ 1 (* -1/2 u1)))
(* u1 (+ 1 (* u1 (- (* 1/3 u1) 1/2))))
(* u1 (+ 1 (* u1 (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))))
1
(+ 1 u1)
(+ 1 (* u1 (+ 1 u1)))
(+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))
(* -1 (pow u1 2))
(* (pow u1 2) (- (* -1/2 (pow u1 2)) 1))
(* (pow u1 2) (- (* (pow u1 2) (- (* -1/3 (pow u1 2)) 1/2)) 1))
(* (pow u1 2) (- (* (pow u1 2) (- (* (pow u1 2) (- (* -1/4 (pow u1 2)) 1/3)) 1/2)) 1))
(+ 1 (* -2 u1))
(+ 1 (* u1 (- u1 2)))
(* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))
(+ (* 1/2 (* (/ (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))
(+ (* 1/2 (* (/ (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))))
(+ (* 1/2 (* (/ (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))))
(* (sin (* (PI) (+ 1/2 (* -2 u2)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))
(+ (* 1/2 (* (/ (sin (* (PI) (+ 1/2 (* -2 u2)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (sin (* (PI) (+ 1/2 (* -2 u2)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))
(+ (* 1/2 (* (/ (sin (* (PI) (+ 1/2 (* -2 u2)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (sin (* (PI) (+ 1/2 (* -2 u2)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (sin (* (PI) (+ 1/2 (* -2 u2)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))))
(+ (* 1/2 (* (/ (sin (* (PI) (+ 1/2 (* -2 u2)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (sin (* (PI) (+ 1/2 (* -2 u2)))) (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (sin (* (PI) (+ 1/2 (* -2 u2)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (sin (* (PI) (+ 1/2 (* -2 u2)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))))
(sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))
(+ (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))))
(+ (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))))))
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(sin (* 1/2 (PI)))
(+ (sin (* 1/2 (PI))) (* -2 (* u2 (* (PI) (cos (* 1/2 (PI)))))))
(+ (sin (* 1/2 (PI))) (* u2 (+ (* -2 (* u2 (* (pow (PI) 2) (sin (* 1/2 (PI)))))) (* -2 (* (PI) (cos (* 1/2 (PI))))))))
(+ (sin (* 1/2 (PI))) (* u2 (+ (* -2 (* (PI) (cos (* 1/2 (PI))))) (* u2 (+ (* -2 (* (pow (PI) 2) (sin (* 1/2 (PI))))) (* 4/3 (* u2 (* (pow (PI) 3) (cos (* 1/2 (PI)))))))))))
(* (sin (* 1/2 (PI))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(+ (* -2 (* (* u2 (* (PI) (cos (* 1/2 (PI))))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* (sin (* 1/2 (PI))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2))))))))
(+ (* u2 (+ (* -2 (* (* u2 (* (pow (PI) 2) (sin (* 1/2 (PI))))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* -2 (* (* (PI) (cos (* 1/2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))))) (* (sin (* 1/2 (PI))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2))))))))
(+ (* u2 (+ (* -2 (* (* (PI) (cos (* 1/2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* u2 (+ (* -2 (* (* (pow (PI) 2) (sin (* 1/2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* 4/3 (* (* u2 (* (pow (PI) 3) (cos (* 1/2 (PI))))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))))))) (* (sin (* 1/2 (PI))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2))))))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(* 1/2 (PI))
(+ (* -2 (* u2 (PI))) (* 1/2 (PI)))
(sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2))))))
(+ (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))))
(+ (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))))))
(+ (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* 2/3 (* (pow (PI) 4) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))))))))
(sqrt (log (/ 1 (- 1 u1))))
(+ (sqrt (log (/ 1 (- 1 u1)))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log (/ 1 (- 1 u1)))))))
(+ (sqrt (log (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (/ 1 (- 1 u1)))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (log (/ 1 (- 1 u1)))))))))
(+ (sqrt (log (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (/ 1 (- 1 u1)))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (log (/ 1 (- 1 u1)))))) (* 2/3 (* (pow (PI) 4) (sqrt (log (/ 1 (- 1 u1)))))))))))
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(* u2 (PI))
(* 2 (* u2 (PI)))
(sin (* (PI) (- 1/2 (* 2 u2))))
(* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(* (sin (* (PI) (- 1/2 (* 2 u2)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* -2 (* u2 (PI)))
(* u2 (+ (* -2 (PI)) (* 1/2 (/ (PI) u2))))
(sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (/ 1 (- 1 u1)))))
(cos (* 2 (* u2 (PI))))
(sin (* (PI) (+ 1/2 (* -2 u2))))
(* (sin (* (PI) (+ 1/2 (* -2 u2)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(* -1 (* u2 (+ (* -1/2 (/ (PI) u2)) (* 2 (PI)))))

Calls

9 calls:

Time	Variable		Point	Expression
79.0ms	u2	@	inf	((sin (* (PI) (+ (* -2 u2) 1/2))) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sin (* (PI) (+ (* -2 u2) 1/2)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (+ (* -2 (* u2 (PI))) (/ (PI) 2)) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2))) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (log (+ 1 u1)) (* (sqrt (log (pow (* (- 1 u1) (- 1 u1)) -1/2))) (cos (* (* 2 (PI)) u2))) (sqrt (log (pow (* (- 1 u1) (- 1 u1)) -1/2))) (log (pow (* (- 1 u1) (- 1 u1)) -1/2)) (pow (* (- 1 u1) (- 1 u1)) -1/2) (* (PI) (+ (* -2 u2) 1/2)) (cos (* (* 2 (PI)) u2)) (* u2 (PI)) (log (+ 1 (* (neg u1) u1))) (* (- 1 u1) (- 1 u1)) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)))
35.0ms	u2	@	-inf	((sin (* (PI) (+ (* -2 u2) 1/2))) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sin (* (PI) (+ (* -2 u2) 1/2)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (+ (* -2 (* u2 (PI))) (/ (PI) 2)) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2))) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (log (+ 1 u1)) (* (sqrt (log (pow (* (- 1 u1) (- 1 u1)) -1/2))) (cos (* (* 2 (PI)) u2))) (sqrt (log (pow (* (- 1 u1) (- 1 u1)) -1/2))) (log (pow (* (- 1 u1) (- 1 u1)) -1/2)) (pow (* (- 1 u1) (- 1 u1)) -1/2) (* (PI) (+ (* -2 u2) 1/2)) (cos (* (* 2 (PI)) u2)) (* u2 (PI)) (log (+ 1 (* (neg u1) u1))) (* (- 1 u1) (- 1 u1)) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)))
4.0ms	u1	@	inf	((sin (* (PI) (+ (* -2 u2) 1/2))) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sin (* (PI) (+ (* -2 u2) 1/2)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (+ (* -2 (* u2 (PI))) (/ (PI) 2)) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2))) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (log (+ 1 u1)) (* (sqrt (log (pow (* (- 1 u1) (- 1 u1)) -1/2))) (cos (* (* 2 (PI)) u2))) (sqrt (log (pow (* (- 1 u1) (- 1 u1)) -1/2))) (log (pow (* (- 1 u1) (- 1 u1)) -1/2)) (pow (* (- 1 u1) (- 1 u1)) -1/2) (* (PI) (+ (* -2 u2) 1/2)) (cos (* (* 2 (PI)) u2)) (* u2 (PI)) (log (+ 1 (* (neg u1) u1))) (* (- 1 u1) (- 1 u1)) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)))
3.0ms	u1	@	-inf	((sin (* (PI) (+ (* -2 u2) 1/2))) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sin (* (PI) (+ (* -2 u2) 1/2)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (+ (* -2 (* u2 (PI))) (/ (PI) 2)) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2))) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (log (+ 1 u1)) (* (sqrt (log (pow (* (- 1 u1) (- 1 u1)) -1/2))) (cos (* (* 2 (PI)) u2))) (sqrt (log (pow (* (- 1 u1) (- 1 u1)) -1/2))) (log (pow (* (- 1 u1) (- 1 u1)) -1/2)) (pow (* (- 1 u1) (- 1 u1)) -1/2) (* (PI) (+ (* -2 u2) 1/2)) (cos (* (* 2 (PI)) u2)) (* u2 (PI)) (log (+ 1 (* (neg u1) u1))) (* (- 1 u1) (- 1 u1)) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)))
3.0ms	u1	@	0	((sin (* (PI) (+ (* -2 u2) 1/2))) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sin (* (PI) (+ (* -2 u2) 1/2)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (+ (* -2 (* u2 (PI))) (/ (PI) 2)) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2))) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (log (+ 1 u1)) (* (sqrt (log (pow (* (- 1 u1) (- 1 u1)) -1/2))) (cos (* (* 2 (PI)) u2))) (sqrt (log (pow (* (- 1 u1) (- 1 u1)) -1/2))) (log (pow (* (- 1 u1) (- 1 u1)) -1/2)) (pow (* (- 1 u1) (- 1 u1)) -1/2) (* (PI) (+ (* -2 u2) 1/2)) (cos (* (* 2 (PI)) u2)) (* u2 (PI)) (log (+ 1 (* (neg u1) u1))) (* (- 1 u1) (- 1 u1)) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)))

simplify197.0ms (1.7%)

Memory

0.8MiB live, 233.4MiB allocated; 38ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	865	6399
1	3091	5258
0	8967	4957

Stop Event

1×	iter limit
1×	node limit

Counts

189 → 188

Calls

Call 1

Inputs
(* (sqrt u1) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))))
(+ (* 1/4 (* (sqrt (pow u1 3)) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))))) (* (sqrt u1) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI))))))
(+ (* (sqrt u1) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))))))))
(+ (* (sqrt u1) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))))) (* 1/2 (* (sqrt u1) (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))
(* (sqrt u1) (sin (* (PI) (+ 1/2 (* -2 u2)))))
(+ (* 1/4 (* (sqrt (pow u1 3)) (sin (* (PI) (+ 1/2 (* -2 u2)))))) (* (sqrt u1) (sin (* (PI) (+ 1/2 (* -2 u2))))))
(+ (* (sqrt u1) (sin (* (PI) (+ 1/2 (* -2 u2))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (sin (* (PI) (+ 1/2 (* -2 u2)))))) (* 1/4 (* (sqrt (/ 1 u1)) (sin (* (PI) (+ 1/2 (* -2 u2)))))))))
(+ (* (sqrt u1) (sin (* (PI) (+ 1/2 (* -2 u2))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (sin (* (PI) (+ 1/2 (* -2 u2)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (sin (* (PI) (+ 1/2 (* -2 u2)))))) (* 1/2 (* (sqrt u1) (* (sin (* (PI) (+ 1/2 (* -2 u2)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/4 (* 1/16 (/ 1 u1))))))))))
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
(* -1 (sqrt u1))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(* u1 (+ 1 (* -1/2 u1)))
(* u1 (+ 1 (* u1 (- (* 1/3 u1) 1/2))))
(* u1 (+ 1 (* u1 (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))))
1
(+ 1 u1)
(+ 1 (* u1 (+ 1 u1)))
(+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))
(* -1 (pow u1 2))
(* (pow u1 2) (- (* -1/2 (pow u1 2)) 1))
(* (pow u1 2) (- (* (pow u1 2) (- (* -1/3 (pow u1 2)) 1/2)) 1))
(* (pow u1 2) (- (* (pow u1 2) (- (* (pow u1 2) (- (* -1/4 (pow u1 2)) 1/3)) 1/2)) 1))
(+ 1 (* -2 u1))
(+ 1 (* u1 (- u1 2)))
(* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))
(+ (* 1/2 (* (/ (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))
(+ (* 1/2 (* (/ (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))))
(+ (* 1/2 (* (/ (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))))
(* (sin (* (PI) (+ 1/2 (* -2 u2)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))
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(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1))))) (log (/ -1 u1)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (log (/ -1 u1)))))
(sqrt (log (/ -1 u1)))
(+ (sqrt (log (/ -1 u1))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))))
(+ (sqrt (log (/ -1 u1))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* -1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)))
(+ (sqrt (log (/ -1 u1))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1))))))) (* 1/2 (* (/ (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1))))) (log (/ -1 u1))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* -1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)))
(log (/ -1 u1))
(+ (log (/ -1 u1)) (/ 1 u1))
(+ (log (/ -1 u1)) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))
(+ (log (/ -1 u1)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)))
(* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1))) u1))
(+ (log -1) (* -2 (log (/ -1 u1))))
(- (+ (log -1) (* -2 (log (/ -1 u1)))) (/ 1 (pow u1 2)))
(+ (log -1) (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow u1 2)))) (pow u1 2)))))
(- (+ (log -1) (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow u1 2)))) (pow u1 4))))) (/ 1 (pow u1 2)))
(* (pow u1 2) (+ 1 (* -1 (/ (- 2 (/ 1 u1)) u1))))
(sin (* 1/2 (PI)))
(+ (sin (* 1/2 (PI))) (* -2 (* u2 (* (PI) (cos (* 1/2 (PI)))))))
(+ (sin (* 1/2 (PI))) (* u2 (+ (* -2 (* u2 (* (pow (PI) 2) (sin (* 1/2 (PI)))))) (* -2 (* (PI) (cos (* 1/2 (PI))))))))
(+ (sin (* 1/2 (PI))) (* u2 (+ (* -2 (* (PI) (cos (* 1/2 (PI))))) (* u2 (+ (* -2 (* (pow (PI) 2) (sin (* 1/2 (PI))))) (* 4/3 (* u2 (* (pow (PI) 3) (cos (* 1/2 (PI)))))))))))
(* (sin (* 1/2 (PI))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(+ (* -2 (* (* u2 (* (PI) (cos (* 1/2 (PI))))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* (sin (* 1/2 (PI))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2))))))))
(+ (* u2 (+ (* -2 (* (* u2 (* (pow (PI) 2) (sin (* 1/2 (PI))))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* -2 (* (* (PI) (cos (* 1/2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))))) (* (sin (* 1/2 (PI))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2))))))))
(+ (* u2 (+ (* -2 (* (* (PI) (cos (* 1/2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* u2 (+ (* -2 (* (* (pow (PI) 2) (sin (* 1/2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* 4/3 (* (* u2 (* (pow (PI) 3) (cos (* 1/2 (PI))))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))))))) (* (sin (* 1/2 (PI))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2))))))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(* 1/2 (PI))
(+ (* -2 (* u2 (PI))) (* 1/2 (PI)))
(sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2))))))
(+ (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))))
(+ (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))))))
(+ (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* 2/3 (* (pow (PI) 4) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))))))))
(sqrt (log (/ 1 (- 1 u1))))
(+ (sqrt (log (/ 1 (- 1 u1)))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log (/ 1 (- 1 u1)))))))
(+ (sqrt (log (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (/ 1 (- 1 u1)))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (log (/ 1 (- 1 u1)))))))))
(+ (sqrt (log (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (/ 1 (- 1 u1)))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (log (/ 1 (- 1 u1)))))) (* 2/3 (* (pow (PI) 4) (sqrt (log (/ 1 (- 1 u1)))))))))))
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(* u2 (PI))
(* 2 (* u2 (PI)))
(sin (* (PI) (- 1/2 (* 2 u2))))
(* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(* (sin (* (PI) (- 1/2 (* 2 u2)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* -2 (* u2 (PI)))
(* u2 (+ (* -2 (PI)) (* 1/2 (/ (PI) u2))))
(sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (/ 1 (- 1 u1)))))
(cos (* 2 (* u2 (PI))))
(sin (* (PI) (+ 1/2 (* -2 u2))))
(* (sin (* (PI) (+ 1/2 (* -2 u2)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(* -1 (* u2 (+ (* -1/2 (/ (PI) u2)) (* 2 (PI)))))

Outputs
(* (sqrt u1) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))))
(.f32 (sin.f32 (.f32 (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)) (PI.f32))) (sqrt.f32 u1))
(+ (* 1/4 (* (sqrt (pow u1 3)) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))))) (* (sqrt u1) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI))))))
(.f32 (sin.f32 (.f32 (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)) (PI.f32))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1)))
(+ (* (sqrt u1) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))))))))
(fma.f32 (.f32 (sin.f32 (.f32 (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)) (PI.f32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (.f32 u1 u1) (.f32 (sin.f32 (.f32 (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)) (PI.f32))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))))) (* 1/2 (* (sqrt u1) (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))
(fma.f32 (fma.f32 (.f32 #s(literal 1/4 binary32) (sin.f32 (.f32 (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)) (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (.f32 (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 1/6 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 u1)) (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sin.f32 (.f32 (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)) (PI.f32)))))) u1)) (.f32 u1 u1) (.f32 (sin.f32 (.f32 (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)) (PI.f32))) (sqrt.f32 u1)))
(* (sqrt u1) (sin (* (PI) (+ 1/2 (* -2 u2)))))
(.f32 (sin.f32 (.f32 (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)) (PI.f32))) (sqrt.f32 u1))
(+ (* 1/4 (* (sqrt (pow u1 3)) (sin (* (PI) (+ 1/2 (* -2 u2)))))) (* (sqrt u1) (sin (* (PI) (+ 1/2 (* -2 u2))))))
(.f32 (sin.f32 (.f32 (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)) (PI.f32))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1)))
(+ (* (sqrt u1) (sin (* (PI) (+ 1/2 (* -2 u2))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (sin (* (PI) (+ 1/2 (* -2 u2)))))) (* 1/4 (* (sqrt (/ 1 u1)) (sin (* (PI) (+ 1/2 (* -2 u2)))))))))
(fma.f32 (.f32 (sin.f32 (.f32 (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)) (PI.f32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (.f32 u1 u1) (.f32 (sin.f32 (.f32 (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)) (PI.f32))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (sin (* (PI) (+ 1/2 (* -2 u2))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (sin (* (PI) (+ 1/2 (* -2 u2)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (sin (* (PI) (+ 1/2 (* -2 u2)))))) (* 1/2 (* (sqrt u1) (* (sin (* (PI) (+ 1/2 (* -2 u2)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))
(fma.f32 (fma.f32 (.f32 #s(literal 1/4 binary32) (sin.f32 (.f32 (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)) (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (.f32 (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 1/6 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 u1)) (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sin.f32 (.f32 (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)) (PI.f32)))))) u1)) (.f32 u1 u1) (.f32 (sin.f32 (.f32 (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)) (PI.f32))) (sqrt.f32 u1)))
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))
(fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/4 (* 1/16 (/ 1 u1))))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 (PI.f32) #s(literal -2 binary32)) u2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(fma.f32 (.f32 (cos.f32 (.f32 (.f32 (PI.f32) #s(literal -2 binary32)) u2)) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32)))) #s(literal -1/4 binary32) (.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 (PI.f32) #s(literal -2 binary32)) u2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(fma.f32 (.f32 (cos.f32 (.f32 (.f32 (PI.f32) #s(literal -2 binary32)) u2)) (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1)))) (.f32 u1 u1) (.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 (PI.f32) #s(literal -2 binary32)) u2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(fma.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 (PI.f32) #s(literal -2 binary32)) u2)) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) #s(literal -2 binary32)) u2)) (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)))) (sqrt.f32 u1) (.f32 (.f32 #s(literal -1/6 binary32) (cos.f32 (.f32 (.f32 (PI.f32) #s(literal -2 binary32)) u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 (.f32 #s(literal -1/4 binary32) (cos.f32 (.f32 (.f32 (PI.f32) #s(literal -2 binary32)) u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1)))
(* (sqrt u1) (pow (sqrt -1) 2))
(neg.f32 (sqrt.f32 u1))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (neg.f32 (sqrt.f32 u1)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(fma.f32 (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (neg.f32 (sqrt.f32 u1)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
(fma.f32 (fma.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1) (neg.f32 (sqrt.f32 u1)))
(* -1 (sqrt u1))
(neg.f32 (sqrt.f32 u1))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(.f32 (cos.f32 (.f32 (*.f32 (PI.f32) #s(literal -2 binary32)) u2)) (sqrt.f32 u1))
(+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))
(.f32 (cos.f32 (.f32 (*.f32 (PI.f32) #s(literal -2 binary32)) u2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1)))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))
(fma.f32 (.f32 (cos.f32 (.f32 (.f32 (PI.f32) #s(literal -2 binary32)) u2)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (.f32 u1 u1) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) #s(literal -2 binary32)) u2)) (sqrt.f32 u1)))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))
(fma.f32 (fma.f32 (.f32 #s(literal 1/4 binary32) (cos.f32 (.f32 (.f32 (PI.f32) #s(literal -2 binary32)) u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 (.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 (PI.f32) #s(literal -2 binary32)) u2))) (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) #s(literal -2 binary32)) u2)))) u1)) (.f32 u1 u1) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) #s(literal -2 binary32)) u2)) (sqrt.f32 u1)))
u1
(* u1 (+ 1 (* 1/2 u1)))
(*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1)
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
(* u1 (+ 1 (* -1/2 u1)))
(*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1)
(* u1 (+ 1 (* u1 (- (* 1/3 u1) 1/2))))
(*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32)) u1)
(* u1 (+ 1 (* u1 (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32)) u1)
1
#s(literal 1 binary32)
(+ 1 u1)
(+.f32 u1 #s(literal 1 binary32))
(+ 1 (* u1 (+ 1 u1)))
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(+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))
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(*.f32 #s(literal 1/2 binary32) (PI.f32))
(+ (* -2 (* u2 (PI))) (* 1/2 (PI)))
(*.f32 (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)) (PI.f32))
(sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2))))))
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))))
(+ (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))))
(.f32 (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
(+ (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))))))
(fma.f32 (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (fma.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))) (.f32 u2 u2) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))))
(+ (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* 2/3 (* (pow (PI) 4) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))))))))
(fma.f32 (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (fma.f32 (.f32 #s(literal -4/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32))))))
(sqrt (log (/ 1 (- 1 u1))))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
(+ (sqrt (log (/ 1 (- 1 u1)))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log (/ 1 (- 1 u1)))))))
(.f32 (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
(+ (sqrt (log (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (/ 1 (- 1 u1)))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (log (/ 1 (- 1 u1)))))))))
(fma.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))) (.f32 u2 u2) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
(+ (sqrt (log (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (/ 1 (- 1 u1)))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (log (/ 1 (- 1 u1)))))) (* 2/3 (* (pow (PI) 4) (sqrt (log (/ 1 (- 1 u1)))))))))))
(fma.f32 (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 (.f32 #s(literal -4/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32))))))
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(fma.f32 (fma.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (*.f32 u2 u2) #s(literal 1 binary32))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(fma.f32 (fma.f32 (.f32 (PI.f32) #s(literal -2 binary32)) (PI.f32) (.f32 (fma.f32 (.f32 #s(literal -4/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32))) (.f32 u2 u2))) (*.f32 u2 u2) #s(literal 1 binary32))
(* u2 (PI))
(*.f32 (PI.f32) u2)
(* 2 (* u2 (PI)))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(sin (* (PI) (- 1/2 (* 2 u2))))
(sin.f32 (*.f32 (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)) (PI.f32)))
(* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (sin.f32 (*.f32 (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)) (PI.f32))))
(* (sin (* (PI) (- 1/2 (* 2 u2)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (sin.f32 (*.f32 (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)) (PI.f32))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (sqrt.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) #s(literal -2 binary32)) u2))))
(* -2 (* u2 (PI)))
(.f32 (.f32 (PI.f32) #s(literal -2 binary32)) u2)
(* u2 (+ (* -2 (PI)) (* 1/2 (/ (PI) u2))))
(.f32 (fma.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32) (.f32 (PI.f32) #s(literal -2 binary32))) u2)
(sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI))))
(sin.f32 (*.f32 (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)) (PI.f32)))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (.f32 (PI.f32) #s(literal -2 binary32)) u2)))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (/ 1 (- 1 u1)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 (PI.f32) #s(literal -2 binary32)) u2)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 (.f32 (PI.f32) #s(literal -2 binary32)) u2))
(sin (* (PI) (+ 1/2 (* -2 u2))))
(sin.f32 (*.f32 (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)) (PI.f32)))
(* (sin (* (PI) (+ 1/2 (* -2 u2)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (sin.f32 (*.f32 (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)) (PI.f32))))
(* -1 (* u2 (+ (* -1/2 (/ (PI) u2)) (* 2 (PI)))))
(.f32 (neg.f32 u2) (fma.f32 (/.f32 (PI.f32) u2) #s(literal -1/2 binary32) (.f32 #s(literal 2 binary32) (PI.f32))))

rewrite77.0ms (0.7%)

Memory

-21.5MiB live, 125.7MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	64	283
0	98	248
1	262	237
0	1563	237

Stop Event

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

Counts

26 → 234

Calls

Call 1

Inputs
(sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))))
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
(neg.f32 (sqrt.f32 u1))
(sqrt.f32 u1)
(fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))
(sin.f32 (fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32))))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (sin.f32 (fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
#s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))
(log1p.f32 u1)
(.f32 (sqrt.f32 (log.f32 (pow.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (log.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32))))
(log.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)))
(pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32))
(*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
(*.f32 u2 (PI.f32))
(log1p.f32 (*.f32 (neg.f32 u1) u1))
(*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))

Outputs
(fma.f32 (sin.f32 (.f32 (.f32 u2 #s(literal -2 binary32)) (PI.f32))) (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (.f32 (cos.f32 (.f32 (.f32 u2 #s(literal -2 binary32)) (PI.f32))) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
(sin.f32 (*.f32 (fma.f32 u2 #s(literal -2 binary32) #s(literal 1/2 binary32)) (PI.f32)))
(+.f32 (.f32 (sin.f32 (.f32 (.f32 u2 #s(literal -2 binary32)) (PI.f32))) (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))) (.f32 (cos.f32 (.f32 (.f32 u2 #s(literal -2 binary32)) (PI.f32))) (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (sin.f32 (*.f32 (fma.f32 u2 #s(literal -2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (sin.f32 (*.f32 (fma.f32 u2 #s(literal -2 binary32) #s(literal 1/2 binary32)) (PI.f32))))
(.f32 (sin.f32 (.f32 (fma.f32 u2 #s(literal -2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
(.f32 (pow.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1))) #s(literal 1/4 binary32)) (pow.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))) #s(literal 1/4 binary32)))
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) #s(literal 2 binary32)))) (sqrt.f32 (+.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)))) (sqrt.f32 (fma.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))
(pow.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))) #s(literal 1/2 binary32))
(exp.f32 (.f32 (log.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) #s(literal 1/2 binary32)))
(.f32 #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)) #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
(neg.f32 (sqrt.f32 u1))
(*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32)))
(sqrt.f32 u1)
(pow.f32 u1 #s(literal 1/2 binary32))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))
(/.f32 (-.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 4 binary32)) (pow.f32 (.f32 (.f32 u2 #s(literal -2 binary32)) (PI.f32)) #s(literal 2 binary32))) (-.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (.f32 (.f32 u2 #s(literal -2 binary32)) (PI.f32)) #s(literal 2 binary32)) (/.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 4 binary32)))) (neg.f32 (-.f32 (.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (fma.f32 (pow.f32 (.f32 u2 (PI.f32)) #s(literal 3 binary32)) #s(literal -8 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 8 binary32)))) (neg.f32 (fma.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (-.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (.f32 (.f32 u2 #s(literal -2 binary32)) (PI.f32))) (pow.f32 (.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32)) #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 (.f32 (.f32 u2 #s(literal -2 binary32)) (PI.f32)) #s(literal 2 binary32)) (/.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 4 binary32))) (-.f32 (.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32))))
(/.f32 (fma.f32 (pow.f32 (.f32 u2 (PI.f32)) #s(literal 3 binary32)) #s(literal -8 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 8 binary32))) (+.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 4 binary32)) (-.f32 (pow.f32 (.f32 (.f32 u2 #s(literal -2 binary32)) (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32))))))
(/.f32 (fma.f32 (pow.f32 (.f32 u2 (PI.f32)) #s(literal 3 binary32)) #s(literal -8 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 8 binary32))) (fma.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (-.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (.f32 (.f32 u2 #s(literal -2 binary32)) (PI.f32))) (pow.f32 (.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32)) #s(literal 2 binary32))))
(-.f32 (/.f32 (pow.f32 (.f32 (.f32 u2 #s(literal -2 binary32)) (PI.f32)) #s(literal 2 binary32)) (-.f32 (.f32 (.f32 u2 #s(literal -2 binary32)) (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (/.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 4 binary32)) (-.f32 (.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(-.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (.f32 (neg.f32 (.f32 u2 #s(literal -2 binary32))) (PI.f32)))
(-.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (.f32 (neg.f32 (.f32 u2 (PI.f32))) #s(literal -2 binary32)))
(-.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(fma.f32 (*.f32 (PI.f32) #s(literal -2 binary32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 (.f32 (.f32 u2 #s(literal -2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 (.f32 (.f32 u2 #s(literal -2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 (neg.f32 (*.f32 #s(literal 2 binary32) (PI.f32))) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 (neg.f32 u2) (*.f32 #s(literal 2 binary32) (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 u2 #s(literal -2 binary32)) (PI.f32)))
(fma.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (.f32 u2 #s(literal -2 binary32))) (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (/.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 u2 #s(literal -2 binary32)) (PI.f32)))
(fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 u2 #s(literal -2 binary32))) (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (neg.f32 u2) (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))
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(/.f32 (fma.f32 (pow.f32 (.f32 u2 (PI.f32)) #s(literal 3 binary32)) #s(literal -8 binary32) (pow.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) #s(literal 3 binary32))) (+.f32 (pow.f32 (.f32 (.f32 u2 #s(literal -2 binary32)) (PI.f32)) #s(literal 2 binary32)) (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 1/2 binary32) (PI.f32))) (.f32 (.f32 (.f32 u2 #s(literal -2 binary32)) (PI.f32)) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
(-.f32 (.f32 (.f32 u2 #s(literal -2 binary32)) (PI.f32)) (*.f32 (neg.f32 (PI.f32)) #s(literal 1/2 binary32)))
(-.f32 (.f32 (.f32 u2 #s(literal -2 binary32)) (PI.f32)) (*.f32 #s(literal -1/2 binary32) (PI.f32)))
(fma.f32 (.f32 (PI.f32) #s(literal -2 binary32)) u2 (.f32 #s(literal 1/2 binary32) (PI.f32)))
(fma.f32 (.f32 (.f32 u2 #s(literal -2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(fma.f32 (.f32 (.f32 u2 #s(literal -2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(fma.f32 (.f32 #s(literal -2 binary32) (PI.f32)) u2 (.f32 #s(literal 1/2 binary32) (PI.f32)))
(fma.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32)))
(fma.f32 (.f32 #s(literal 1/2 binary32) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)) (.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32)))
(fma.f32 (neg.f32 (.f32 #s(literal 2 binary32) (PI.f32))) u2 (.f32 #s(literal 1/2 binary32) (PI.f32)))
(fma.f32 (neg.f32 u2) (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 #s(literal 1/2 binary32) (PI.f32)))
(fma.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (.f32 u2 #s(literal -2 binary32))) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(fma.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) #s(literal 1/2 binary32)) (.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32)))
(fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 u2 #s(literal -2 binary32))) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) #s(literal 1/2 binary32)) (.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32)))
(fma.f32 (.f32 u2 #s(literal -2 binary32)) (PI.f32) (.f32 #s(literal 1/2 binary32) (PI.f32)))
(fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (neg.f32 u2) (.f32 #s(literal 1/2 binary32) (PI.f32)))
(fma.f32 (.f32 u2 (PI.f32)) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))
(fma.f32 #s(literal 2 binary32) (neg.f32 (.f32 u2 (PI.f32))) (.f32 #s(literal 1/2 binary32) (PI.f32)))
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 (.f32 u2 #s(literal -2 binary32)) (PI.f32)))
(fma.f32 u2 (.f32 (PI.f32) #s(literal -2 binary32)) (.f32 #s(literal 1/2 binary32) (PI.f32)))
(fma.f32 u2 (.f32 #s(literal -2 binary32) (PI.f32)) (.f32 #s(literal 1/2 binary32) (PI.f32)))
(fma.f32 u2 (neg.f32 (.f32 #s(literal 2 binary32) (PI.f32))) (.f32 #s(literal 1/2 binary32) (PI.f32)))
(fma.f32 #s(literal -2 binary32) (.f32 u2 (PI.f32)) (.f32 #s(literal 1/2 binary32) (PI.f32)))
(fma.f32 (PI.f32) (.f32 u2 #s(literal -2 binary32)) (.f32 #s(literal 1/2 binary32) (PI.f32)))
(fma.f32 (PI.f32) #s(literal 1/2 binary32) (.f32 (.f32 u2 #s(literal -2 binary32)) (PI.f32)))
(+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32)))
(+.f32 (.f32 (.f32 u2 #s(literal -2 binary32)) (PI.f32)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) u2))
(.f32 (.f32 u2 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(.f32 (.f32 u2 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) u2))
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) u2))
(*.f32 u2 (PI.f32))
(*.f32 (PI.f32) u2)
(log.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)))
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 (neg.f32 u1) u1) #s(literal 2 binary32)))) (log1p.f32 (.f32 u1 u1)))
(-.f32 (log1p.f32 (pow.f32 (.f32 (neg.f32 u1) u1) #s(literal 3 binary32))) (log1p.f32 (.f32 (.f32 (neg.f32 u1) u1) (-.f32 (.f32 (neg.f32 u1) u1) #s(literal 1 binary32)))))
(log1p.f32 (*.f32 (neg.f32 u1) u1))
(*.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (neg.f32 (fabs.f32 (-.f32 u1 #s(literal 1 binary32)))) (neg.f32 (fabs.f32 (-.f32 u1 #s(literal 1 binary32)))))
(*.f32 (fabs.f32 (fabs.f32 (-.f32 u1 #s(literal 1 binary32)))) (fabs.f32 (fabs.f32 (-.f32 u1 #s(literal 1 binary32)))))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))
(*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1)) (neg.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (fabs.f32 (-.f32 u1 #s(literal 1 binary32))) (fabs.f32 (-.f32 u1 #s(literal 1 binary32))))
(*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 (-.f32 u1 #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 (*.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) (-.f32 u1 #s(literal -1 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (fma.f32 u1 (-.f32 u1 #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal -1 binary32)))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (.f32 (fma.f32 u1 (-.f32 u1 #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 u1 (-.f32 u1 #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 (-.f32 u1 #s(literal -1 binary32)) #s(literal 1 binary32)) (-.f32 u1 #s(literal -1 binary32))))
(/.f32 (.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (.f32 (-.f32 u1 #s(literal -1 binary32)) (fma.f32 u1 (-.f32 u1 #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 (.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))) (.f32 (-.f32 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32))))
(pow.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32))
(pow.f32 (fabs.f32 (-.f32 u1 #s(literal 1 binary32))) #s(literal 2 binary32))
(pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32))
(fabs.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32)))
(neg.f32 (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1)) (-.f32 #s(literal 1 binary32) u1)))
(neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (neg.f32 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (.f32 u2 #s(literal 2 binary32)) (PI.f32))
(.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(.f32 (.f32 u2 (PI.f32)) #s(literal 2 binary32))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))
(.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))
(fma.f32 (.f32 u2 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (.f32 u2 (PI.f32)))
(fma.f32 (.f32 u2 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)) (.f32 u2 (PI.f32)))
(fma.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) u2) (.f32 u2 (PI.f32)))
(fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) u2) (.f32 u2 (PI.f32)))
(fma.f32 u2 (PI.f32) (*.f32 u2 (PI.f32)))
(fma.f32 (PI.f32) u2 (*.f32 u2 (PI.f32)))
(+.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))
(/.f32 (-.f32 (.f32 (.f32 (sin.f32 (.f32 (.f32 u2 #s(literal -2 binary32)) (PI.f32))) #s(literal 0 binary32)) (.f32 (sin.f32 (.f32 (.f32 u2 #s(literal -2 binary32)) (PI.f32))) #s(literal 0 binary32))) (.f32 (.f32 (cos.f32 (.f32 (.f32 u2 #s(literal -2 binary32)) (PI.f32))) #s(literal 1 binary32)) (.f32 (cos.f32 (.f32 (.f32 u2 #s(literal -2 binary32)) (PI.f32))) #s(literal 1 binary32)))) (-.f32 (.f32 (sin.f32 (.f32 (.f32 u2 #s(literal -2 binary32)) (PI.f32))) #s(literal 0 binary32)) (.f32 (cos.f32 (.f32 (.f32 u2 #s(literal -2 binary32)) (PI.f32))) #s(literal 1 binary32))))
(/.f32 (+.f32 (pow.f32 (.f32 (sin.f32 (.f32 (.f32 u2 #s(literal -2 binary32)) (PI.f32))) #s(literal 0 binary32)) #s(literal 3 binary32)) (pow.f32 (.f32 (cos.f32 (.f32 (.f32 u2 #s(literal -2 binary32)) (PI.f32))) #s(literal 1 binary32)) #s(literal 3 binary32))) (fma.f32 (.f32 (sin.f32 (.f32 (.f32 u2 #s(literal -2 binary32)) (PI.f32))) #s(literal 0 binary32)) (.f32 (sin.f32 (.f32 (.f32 u2 #s(literal -2 binary32)) (PI.f32))) #s(literal 0 binary32)) (-.f32 (.f32 (.f32 (cos.f32 (.f32 (.f32 u2 #s(literal -2 binary32)) (PI.f32))) #s(literal 1 binary32)) (.f32 (cos.f32 (.f32 (.f32 u2 #s(literal -2 binary32)) (PI.f32))) #s(literal 1 binary32))) (.f32 (.f32 (sin.f32 (.f32 (.f32 u2 #s(literal -2 binary32)) (PI.f32))) #s(literal 0 binary32)) (.f32 (cos.f32 (.f32 (.f32 u2 #s(literal -2 binary32)) (PI.f32))) #s(literal 1 binary32))))))
(-.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))))
(-.f32 (.f32 (sin.f32 (.f32 (.f32 u2 #s(literal -2 binary32)) (PI.f32))) #s(literal 0 binary32)) (.f32 (neg.f32 (cos.f32 (.f32 (.f32 u2 #s(literal -2 binary32)) (PI.f32)))) #s(literal 1 binary32)))
(fma.f32 (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 0 binary32) (.f32 (cos.f32 (.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32))) #s(literal 1 binary32)))
(fma.f32 (sin.f32 (.f32 (.f32 u2 #s(literal -2 binary32)) (PI.f32))) #s(literal 0 binary32) (.f32 (cos.f32 (.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32))) #s(literal 1 binary32)))
(fma.f32 #s(literal 0 binary32) (sin.f32 (.f32 (.f32 u2 #s(literal -2 binary32)) (PI.f32))) (.f32 (cos.f32 (.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32))) #s(literal 1 binary32)))
(fma.f32 (cos.f32 (.f32 (.f32 u2 #s(literal -2 binary32)) (PI.f32))) #s(literal 1 binary32) (.f32 (sin.f32 (.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32))) #s(literal 0 binary32)))
(fma.f32 #s(literal 1 binary32) (cos.f32 (.f32 (.f32 u2 #s(literal -2 binary32)) (PI.f32))) (.f32 (sin.f32 (.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32))) #s(literal 0 binary32)))
(sin.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))
(sin.f32 (fma.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))))
(+.f32 (.f32 (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 0 binary32)) (.f32 (cos.f32 (.f32 (.f32 u2 #s(literal -2 binary32)) (PI.f32))) #s(literal 1 binary32)))
(+.f32 (.f32 (cos.f32 (.f32 (.f32 u2 #s(literal -2 binary32)) (PI.f32))) #s(literal 1 binary32)) (.f32 (sin.f32 (.f32 (.f32 u2 #s(literal -2 binary32)) (PI.f32))) #s(literal 0 binary32)))
(+.f32 (.f32 (sin.f32 (.f32 (.f32 u2 #s(literal -2 binary32)) (PI.f32))) #s(literal 0 binary32)) (.f32 (cos.f32 (.f32 (.f32 u2 #s(literal -2 binary32)) (PI.f32))) #s(literal 1 binary32)))
(cos.f32 (neg.f32 (.f32 (.f32 u2 #s(literal -2 binary32)) (PI.f32))))
(cos.f32 (.f32 (.f32 u2 #s(literal -2 binary32)) (PI.f32)))
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))

eval74.0ms (0.7%)

Memory: 17.8MiB live, 109.0MiB allocated; 11ms collecting garbage
Compiler: Compiled 21 185 to 1 977 computations (90.7% saved)

prune147.0ms (1.3%)

Memory

1.6MiB live, 198.4MiB allocated; 78ms collecting garbage

Pruning

64 alts after pruning (56 fresh and 8 done)

	Pruned	Kept	Total
New	436	38	474
Fresh	16	18	34
Picked	2	3	5
Done	0	5	5
Total	454	64	518

Accuracy

100.0%

Counts

518 → 64

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.5%	(.f32 (sqrt.f32 (.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32))) #s(literal -1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))) (-.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32))))))
	93.4%	(.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (- 1 (pow u1 3))) (pow.f32 (neg.f32 u1) #s(literal 3 binary32))) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	56.4%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (fma.f32 #s(literal -2 binary32) (.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
✓	56.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	51.6%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
✓	54.3%	(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	49.7%	(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
✓	53.3%	(.f32 (sqrt.f32 (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal -1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.7%	(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (sin.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
✓	92.8%	(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.0%	(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 #s(approx (+ ( 1/4 u1) 1/3) #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.1%	(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (sin.f32 (fma.f32 #s(literal -2 binary32) (.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
	87.3%	(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.5%	(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) #s(approx (* (+ (* (+ (* (+ (* 1/4 u1) 1/3) u1) 1/2) u1) 1) u1) (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) u1) #s(literal -1 binary32) #s(literal -1/3 binary32)) u1)) (pow.f32 u1 #s(literal 4 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.6%	(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) #s(approx (* (+ (* (+ (* (+ (* 1/4 u1) 1/3) u1) 1/2) u1) 1) u1) (.f32 (+.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (pow.f32 u1 #s(literal 4 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.6%	(.f32 (cos.f32 (.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32))) #s(approx (sqrt (neg (log (- 1 u1)))) (sqrt.f32 u1)))
	92.8%	(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	90.2%	(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.3%	(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32)))) (sin.f32 (fma.f32 #s(literal -2 binary32) (.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
	76.6%	(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (sin.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
✓	76.7%	(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (sin.f32 (fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
	76.9%	(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (sin.f32 #s(approx (+ (* -2 (* u2 (PI))) (/ (PI) 2)) (*.f32 (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)) (PI.f32)))))
	5.7%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1) (neg.f32 (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	5.7%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (neg.f32 (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	3.8%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
✓	5.7%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	78.1%	#s(approx (* (sqrt (neg (- (log (- 1 (pow u1 3))) (log (+ 1 (+ (* u1 u1) u1)))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32))))))
	93.2%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (fma.f32 (fma.f32 (.f32 #s(literal 1/4 binary32) (sin.f32 (.f32 (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)) (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (.f32 (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 1/6 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 u1)) (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sin.f32 (.f32 (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)) (PI.f32)))))) u1)) (.f32 u1 u1) (.f32 (sin.f32 (.f32 (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)) (PI.f32))) (sqrt.f32 u1))))
	90.5%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (fma.f32 (.f32 (sin.f32 (.f32 (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)) (PI.f32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (.f32 u1 u1) (.f32 (sin.f32 (.f32 (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)) (PI.f32))) (sqrt.f32 u1))))
	98.5%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)))) (sqrt.f32 (fma.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (+.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
	98.2%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (.f32 (pow.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1))) #s(literal 1/4 binary32)) (pow.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1))) #s(literal 1/4 binary32))) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
	99.0%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) #s(literal 2 binary32))) (+.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
	99.0%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (sin.f32 (fma.f32 (.f32 (PI.f32) #s(literal -2 binary32)) u2 (.f32 #s(literal 1/2 binary32) (PI.f32))))))
	96.5%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 ( (neg u1) u1))) (.f32 (-.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/4 binary32) u1) u1 #s(literal -1/3 binary32)) (.f32 u1 u1) #s(literal -1/2 binary32)) u1) u1) #s(literal 1 binary32)) (.f32 u1 u1))))) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
	95.6%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 ( (neg u1) u1))) (.f32 (-.f32 (.f32 (.f32 (fma.f32 #s(literal -1/3 binary32) (.f32 u1 u1) #s(literal -1/2 binary32)) u1) u1) #s(literal 1 binary32)) (.f32 u1 u1))))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
	94.0%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 ( (neg u1) u1))) (.f32 (.f32 (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)))) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
	90.7%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 ( (neg u1) u1))) (.f32 (neg.f32 u1) u1)))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
	91.7%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32)) u1)) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
	53.4%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
	93.1%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
	91.3%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1)))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
	87.6%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1)))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
	89.8%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (fma.f32 (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (fma.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))) (.f32 u2 u2) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1))))))
	87.0%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))))))
✓	78.2%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
	76.2%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (.f32 (-.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/4 binary32) u1) u1 #s(literal -1/3 binary32)) (.f32 u1 u1) #s(literal -1/2 binary32)) u1) u1) #s(literal 1 binary32)) (.f32 u1 u1))))))
	75.5%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (.f32 (-.f32 (.f32 (.f32 (fma.f32 #s(literal -1/3 binary32) (.f32 u1 u1) #s(literal -1/2 binary32)) u1) u1) #s(literal 1 binary32)) (*.f32 u1 u1))))))
	74.4%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (.f32 (.f32 (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)))))
	72.6%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (neg.f32 u1) u1)))))
	71.0%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1)) (log1p.f32 (.f32 (neg.f32 u1) u1)))))
	45.6%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))))))
	73.9%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
	72.9%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
	70.6%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))))
	76.6%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (exp.f32 (.f32 (log.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) #s(literal 1/2 binary32))))
	74.1%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))))
	72.5%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))))
	70.8%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1))))
	63.1%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)))
	52.7%	#s(approx (* (sqrt (log (pow (* (- 1 u1) (- 1 u1)) -1/2))) (cos (* (* 2 (PI)) u2))) (fma.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))) (.f32 u2 u2) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))))
	48.0%	#s(approx (* (sqrt (log (pow (* (- 1 u1) (- 1 u1)) -1/2))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
	48.9%	#s(approx (* (sqrt (log (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1)))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))))
	45.5%	#s(approx (* (sqrt (log (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))

Compiler

Compiled 6 639 to 2 526 computations (62% saved)

regimes339.0ms (3%)

Memory

15.4MiB live, 524.2MiB allocated; 65ms collecting garbage

Counts

106 → 1

Calls

Call 1

Inputs
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (neg.f32 (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (.f32 #s(literal -1 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))))
#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (log (pow (* (- 1 u1) (- 1 u1)) -1/2))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (neg.f32 u1) u1)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1) (neg.f32 (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1) (.f32 #s(literal -1 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (cos.f32 (.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32))) #s(approx (sqrt (neg (log (- 1 u1)))) (sqrt.f32 u1)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))) (sqrt.f32 u1)))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (sin.f32 #s(approx (+ (* -2 (* u2 (PI))) (/ (PI) 2)) (*.f32 (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)) (PI.f32)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1)) (log1p.f32 (.f32 (neg.f32 u1) u1)))))
#s(approx (* (sqrt (log (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (.f32 (.f32 (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1)))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (sin.f32 (fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (sin.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 #s(approx (+ ( 1/4 u1) 1/3) #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1)))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (.f32 (-.f32 (.f32 (.f32 (fma.f32 #s(literal -1/3 binary32) (.f32 u1 u1) #s(literal -1/2 binary32)) u1) u1) #s(literal 1 binary32)) (*.f32 u1 u1))))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (sin.f32 (fma.f32 #s(literal -2 binary32) (.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (sin.f32 (fma.f32 #s(literal -2 binary32) (.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
#s(approx (* (sqrt (log (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1)))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (.f32 (-.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/4 binary32) u1) u1 #s(literal -1/3 binary32)) (.f32 u1 u1) #s(literal -1/2 binary32)) u1) u1) #s(literal 1 binary32)) (.f32 u1 u1))))))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (sin.f32 (fma.f32 #s(literal -2 binary32) (.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (sin.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 ( (neg u1) u1))) (.f32 (neg.f32 u1) u1)))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (fma.f32 #s(literal -2 binary32) (.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (fma.f32 #s(literal -2 binary32) (.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 ( (neg u1) u1))) (.f32 (.f32 (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)))) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
(.f32 (sqrt.f32 (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal -1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32)) u1)) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 ( (neg u1) u1))) (.f32 (-.f32 (.f32 (.f32 (fma.f32 #s(literal -1/3 binary32) (.f32 u1 u1) #s(literal -1/2 binary32)) u1) u1) #s(literal 1 binary32)) (.f32 u1 u1))))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 ( (neg u1) u1))) (.f32 (-.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/4 binary32) u1) u1 #s(literal -1/3 binary32)) (.f32 u1 u1) #s(literal -1/2 binary32)) u1) u1) #s(literal 1 binary32)) (.f32 u1 u1))))) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) #s(approx (* (+ (* (+ (* (+ (* 1/4 u1) 1/3) u1) 1/2) u1) 1) u1) (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) u1) #s(literal -1 binary32) #s(literal -1/3 binary32)) u1)) (pow.f32 u1 #s(literal 4 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (fma.f32 (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (.f32 u1 u1) (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))) (sqrt.f32 u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (fma.f32 (.f32 (sin.f32 (.f32 (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)) (PI.f32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (.f32 u1 u1) (.f32 (sin.f32 (.f32 (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)) (PI.f32))) (sqrt.f32 u1))))
#s(approx (* (sqrt (neg (- (log (- 1 (pow u1 3))) (log (+ 1 (+ (* u1 u1) u1)))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32))))))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32)))) (sin.f32 (fma.f32 #s(literal -2 binary32) (.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 (.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32))) #s(literal -1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) u2))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
(.f32 (sqrt.f32 (log.f32 (pow.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (- 1 (pow u1 3))) (pow.f32 (neg.f32 u1) #s(literal 3 binary32))) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (sin.f32 (fma.f32 (.f32 (PI.f32) #s(literal -2 binary32)) u2 (.f32 #s(literal 1/2 binary32) (PI.f32))))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))) (sin.f32 (fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))) (sin.f32 (fma.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) u2) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (fma.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 (.f32 #s(literal 2/3 binary32) (.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))) (.f32 u2 u2) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (log (pow (* (- 1 u1) (- 1 u1)) -1/2))) (cos (* (* 2 (PI)) u2))) (fma.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))) (.f32 u2 u2) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) #s(approx (* (+ (* (+ (* (+ (* 1/4 u1) 1/3) u1) 1/2) u1) 1) u1) (.f32 (+.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (pow.f32 u1 #s(literal 4 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (exp.f32 (.f32 (log.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) #s(literal 1/2 binary32))))
(.f32 (exp.f32 (.f32 (log.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (log.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 (pow.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32)) (pow.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) u2) (*.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (-.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (fma.f32 (fma.f32 (.f32 #s(literal 1/4 binary32) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))) #s(literal 1/6 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 u1)) (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))) u1)) (.f32 u1 u1) (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))) (sqrt.f32 u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (fma.f32 (fma.f32 (.f32 #s(literal 1/4 binary32) (sin.f32 (.f32 (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)) (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (.f32 (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 1/6 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 u1)) (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sin.f32 (.f32 (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)) (PI.f32)))))) u1)) (.f32 u1 u1) (.f32 (sin.f32 (.f32 (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)) (PI.f32))) (sqrt.f32 u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (fma.f32 (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (fma.f32 (.f32 #s(literal 2/3 binary32) (.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))) (.f32 u2 u2) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (fma.f32 (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (fma.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))) (.f32 u2 u2) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1))))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))) (cos.f32 (fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) u2) (.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))) (-.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32))))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (-.f32 (log1p.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 binary32))) (log1p.f32 (.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (fma.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (fma.f32 (.f32 #s(literal -4/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (.f32 (pow.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1))) #s(literal 1/4 binary32)) (pow.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1))) #s(literal 1/4 binary32))) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) #s(literal 2 binary32))) (+.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
(.f32 (sqrt.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) #s(literal 2 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (neg.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (neg.f32 (fma.f32 (log1p.f32 u1) (+.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1))) (pow.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) #s(literal 2 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)))) (sqrt.f32 (fma.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (+.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))

Outputs

#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))

Calls

10 calls:

69.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
40.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
31.0ms	(-.f32 #s(literal 1 binary32) u1)
30.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
28.0ms	u2

Results

Accuracy	Segments	Branch
99.0%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
99.0%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
99.0%	1	`(-.f32 #s(literal 1 binary32) u1)`
99.0%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
99.0%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
99.0%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
99.0%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
99.0%	1	`cosTheta_i`
99.0%	1	`u1`
99.0%	1	`u2`

Compiler

Compiled 45 to 64 computations (-42.2% saved)

regimes1.1s (9.4%)

Memory

-163.5MiB live, 477.3MiB allocated; 1.3s collecting garbage

Counts

74 → 1

Calls

Call 1

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

Outputs

#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))))

Calls

10 calls:

789.0ms	cosTheta_i
55.0ms	u1
44.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
41.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
27.0ms	u2

Results

Accuracy	Segments	Branch
98.6%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
98.6%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
98.6%	1	`(-.f32 #s(literal 1 binary32) u1)`
98.6%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
98.6%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
98.6%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
98.6%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
98.6%	1	`cosTheta_i`
98.6%	1	`u1`
98.6%	1	`u2`

Compiler

Compiled 45 to 64 computations (-42.2% saved)

regimes288.0ms (2.5%)

Memory

-3.8MiB live, 426.3MiB allocated; 83ms collecting garbage

Counts

72 → 1

Calls

Call 1

Inputs
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (neg.f32 (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (.f32 #s(literal -1 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))))
#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (log (pow (* (- 1 u1) (- 1 u1)) -1/2))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (neg.f32 u1) u1)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1) (neg.f32 (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1) (.f32 #s(literal -1 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (cos.f32 (.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32))) #s(approx (sqrt (neg (log (- 1 u1)))) (sqrt.f32 u1)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))) (sqrt.f32 u1)))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (sin.f32 #s(approx (+ (* -2 (* u2 (PI))) (/ (PI) 2)) (*.f32 (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)) (PI.f32)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1)) (log1p.f32 (.f32 (neg.f32 u1) u1)))))
#s(approx (* (sqrt (log (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (.f32 (.f32 (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1)))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (sin.f32 (fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (sin.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 #s(approx (+ ( 1/4 u1) 1/3) #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1)))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (.f32 (-.f32 (.f32 (.f32 (fma.f32 #s(literal -1/3 binary32) (.f32 u1 u1) #s(literal -1/2 binary32)) u1) u1) #s(literal 1 binary32)) (*.f32 u1 u1))))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (sin.f32 (fma.f32 #s(literal -2 binary32) (.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (sin.f32 (fma.f32 #s(literal -2 binary32) (.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
#s(approx (* (sqrt (log (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1)))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (.f32 (-.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/4 binary32) u1) u1 #s(literal -1/3 binary32)) (.f32 u1 u1) #s(literal -1/2 binary32)) u1) u1) #s(literal 1 binary32)) (.f32 u1 u1))))))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (sin.f32 (fma.f32 #s(literal -2 binary32) (.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (sin.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 ( (neg u1) u1))) (.f32 (neg.f32 u1) u1)))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (fma.f32 #s(literal -2 binary32) (.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (fma.f32 #s(literal -2 binary32) (.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 ( (neg u1) u1))) (.f32 (.f32 (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)))) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
(.f32 (sqrt.f32 (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal -1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32)) u1)) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 ( (neg u1) u1))) (.f32 (-.f32 (.f32 (.f32 (fma.f32 #s(literal -1/3 binary32) (.f32 u1 u1) #s(literal -1/2 binary32)) u1) u1) #s(literal 1 binary32)) (.f32 u1 u1))))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 ( (neg u1) u1))) (.f32 (-.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/4 binary32) u1) u1 #s(literal -1/3 binary32)) (.f32 u1 u1) #s(literal -1/2 binary32)) u1) u1) #s(literal 1 binary32)) (.f32 u1 u1))))) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) #s(approx (* (+ (* (+ (* (+ (* 1/4 u1) 1/3) u1) 1/2) u1) 1) u1) (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) u1) #s(literal -1 binary32) #s(literal -1/3 binary32)) u1)) (pow.f32 u1 #s(literal 4 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (fma.f32 (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (.f32 u1 u1) (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))) (sqrt.f32 u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (fma.f32 (.f32 (sin.f32 (.f32 (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)) (PI.f32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (.f32 u1 u1) (.f32 (sin.f32 (.f32 (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)) (PI.f32))) (sqrt.f32 u1))))
#s(approx (* (sqrt (neg (- (log (- 1 (pow u1 3))) (log (+ 1 (+ (* u1 u1) u1)))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32))))))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32)))) (sin.f32 (fma.f32 #s(literal -2 binary32) (.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 (.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32))) #s(literal -1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Outputs

#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/4 binary32) u1) u1 #s(literal -1/3 binary32)) (*.f32 u1 u1) #s(literal -1/2 binary32)) u1) u1) #s(literal 1 binary32)) (*.f32 u1 u1))))) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))

Calls

10 calls:

54.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
47.0ms	cosTheta_i
38.0ms	u1
27.0ms	(-.f32 #s(literal 1 binary32) u1)
24.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))

Results

Accuracy	Segments	Branch
96.5%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
96.5%	1	`(-.f32 #s(literal 1 binary32) u1)`
96.5%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
96.5%	1	`u2`
96.5%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
96.5%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
96.5%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
96.5%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
96.5%	1	`cosTheta_i`
96.5%	1	`u1`

Compiler

Compiled 45 to 64 computations (-42.2% saved)

regimes204.0ms (1.8%)

Memory

1.0MiB live, 332.0MiB allocated; 33ms collecting garbage

Counts

65 → 2

Calls

Call 1

Inputs
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (neg.f32 (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (.f32 #s(literal -1 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))))
#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (log (pow (* (- 1 u1) (- 1 u1)) -1/2))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (neg.f32 u1) u1)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1) (neg.f32 (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1) (.f32 #s(literal -1 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (cos.f32 (.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32))) #s(approx (sqrt (neg (log (- 1 u1)))) (sqrt.f32 u1)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))) (sqrt.f32 u1)))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (sin.f32 #s(approx (+ (* -2 (* u2 (PI))) (/ (PI) 2)) (*.f32 (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)) (PI.f32)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1)) (log1p.f32 (.f32 (neg.f32 u1) u1)))))
#s(approx (* (sqrt (log (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (.f32 (.f32 (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1)))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (sin.f32 (fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (sin.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 #s(approx (+ ( 1/4 u1) 1/3) #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1)))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (.f32 (-.f32 (.f32 (.f32 (fma.f32 #s(literal -1/3 binary32) (.f32 u1 u1) #s(literal -1/2 binary32)) u1) u1) #s(literal 1 binary32)) (*.f32 u1 u1))))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (sin.f32 (fma.f32 #s(literal -2 binary32) (.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (sin.f32 (fma.f32 #s(literal -2 binary32) (.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
#s(approx (* (sqrt (log (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1)))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (.f32 (-.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/4 binary32) u1) u1 #s(literal -1/3 binary32)) (.f32 u1 u1) #s(literal -1/2 binary32)) u1) u1) #s(literal 1 binary32)) (.f32 u1 u1))))))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (sin.f32 (fma.f32 #s(literal -2 binary32) (.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (sin.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 ( (neg u1) u1))) (.f32 (neg.f32 u1) u1)))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (fma.f32 #s(literal -2 binary32) (.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (fma.f32 #s(literal -2 binary32) (.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 ( (neg u1) u1))) (.f32 (.f32 (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)))) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
(.f32 (sqrt.f32 (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal -1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32)) u1)) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 ( (neg u1) u1))) (.f32 (-.f32 (.f32 (.f32 (fma.f32 #s(literal -1/3 binary32) (.f32 u1 u1) #s(literal -1/2 binary32)) u1) u1) #s(literal 1 binary32)) (.f32 u1 u1))))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))

Outputs

#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -1/3 binary32) (*.f32 u1 u1) #s(literal -1/2 binary32)) u1) u1) #s(literal 1 binary32)) (*.f32 u1 u1))))) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))

#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (*.f32 (sqrt.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))

Calls

10 calls:

45.0ms	cosTheta_i
22.0ms	u1
20.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
18.0ms	(-.f32 #s(literal 1 binary32) u1)
17.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)

Results

Accuracy	Segments	Branch
95.6%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
95.6%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
98.9%	2	`(-.f32 #s(literal 1 binary32) u1)`
98.9%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
98.9%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
98.9%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
98.8%	2	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
95.6%	1	`cosTheta_i`
98.9%	2	`u1`
95.6%	1	`u2`

Compiler

Compiled 45 to 64 computations (-42.2% saved)

regimes80.0ms (0.7%)

Memory

16.3MiB live, 163.4MiB allocated; 6ms collecting garbage

Counts

64 → 2

Calls

Call 1

Inputs
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (neg.f32 (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (.f32 #s(literal -1 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))))
#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (log (pow (* (- 1 u1) (- 1 u1)) -1/2))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (neg.f32 u1) u1)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1) (neg.f32 (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1) (.f32 #s(literal -1 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (cos.f32 (.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32))) #s(approx (sqrt (neg (log (- 1 u1)))) (sqrt.f32 u1)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))) (sqrt.f32 u1)))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (sin.f32 #s(approx (+ (* -2 (* u2 (PI))) (/ (PI) 2)) (*.f32 (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)) (PI.f32)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1)) (log1p.f32 (.f32 (neg.f32 u1) u1)))))
#s(approx (* (sqrt (log (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (.f32 (.f32 (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1)))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (sin.f32 (fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (sin.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 #s(approx (+ ( 1/4 u1) 1/3) #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1)))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (.f32 (-.f32 (.f32 (.f32 (fma.f32 #s(literal -1/3 binary32) (.f32 u1 u1) #s(literal -1/2 binary32)) u1) u1) #s(literal 1 binary32)) (*.f32 u1 u1))))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (sin.f32 (fma.f32 #s(literal -2 binary32) (.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (sin.f32 (fma.f32 #s(literal -2 binary32) (.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
#s(approx (* (sqrt (log (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1)))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (.f32 (-.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/4 binary32) u1) u1 #s(literal -1/3 binary32)) (.f32 u1 u1) #s(literal -1/2 binary32)) u1) u1) #s(literal 1 binary32)) (.f32 u1 u1))))))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (sin.f32 (fma.f32 #s(literal -2 binary32) (.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (sin.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 ( (neg u1) u1))) (.f32 (neg.f32 u1) u1)))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (fma.f32 #s(literal -2 binary32) (.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (fma.f32 #s(literal -2 binary32) (.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 ( (neg u1) u1))) (.f32 (.f32 (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)))) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
(.f32 (sqrt.f32 (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal -1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32)) u1)) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))

Outputs

#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)))) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))

#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (*.f32 (sqrt.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))

Calls

5 calls:

18.0ms	u1
16.0ms	(-.f32 #s(literal 1 binary32) u1)
15.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
14.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
14.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))

Results

Accuracy	Segments	Branch
98.8%	2	`(-.f32 #s(literal 1 binary32) u1)`
98.8%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
98.8%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
98.8%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
98.8%	2	`u1`

Compiler

Compiled 19 to 29 computations (-52.6% saved)

regimes90.0ms (0.8%)

Memory

2.6MiB live, 146.1MiB allocated; 9ms collecting garbage

Counts

61 → 2

Calls

Call 1

Inputs
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (neg.f32 (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (.f32 #s(literal -1 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))))
#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (log (pow (* (- 1 u1) (- 1 u1)) -1/2))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (neg.f32 u1) u1)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1) (neg.f32 (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1) (.f32 #s(literal -1 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (cos.f32 (.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32))) #s(approx (sqrt (neg (log (- 1 u1)))) (sqrt.f32 u1)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))) (sqrt.f32 u1)))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (sin.f32 #s(approx (+ (* -2 (* u2 (PI))) (/ (PI) 2)) (*.f32 (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)) (PI.f32)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1)) (log1p.f32 (.f32 (neg.f32 u1) u1)))))
#s(approx (* (sqrt (log (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (.f32 (.f32 (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1)))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (sin.f32 (fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (sin.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 #s(approx (+ ( 1/4 u1) 1/3) #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1)))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (.f32 (-.f32 (.f32 (.f32 (fma.f32 #s(literal -1/3 binary32) (.f32 u1 u1) #s(literal -1/2 binary32)) u1) u1) #s(literal 1 binary32)) (*.f32 u1 u1))))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (sin.f32 (fma.f32 #s(literal -2 binary32) (.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (sin.f32 (fma.f32 #s(literal -2 binary32) (.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
#s(approx (* (sqrt (log (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1)))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (.f32 (-.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/4 binary32) u1) u1 #s(literal -1/3 binary32)) (.f32 u1 u1) #s(literal -1/2 binary32)) u1) u1) #s(literal 1 binary32)) (.f32 u1 u1))))))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (sin.f32 (fma.f32 #s(literal -2 binary32) (.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (sin.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 ( (neg u1) u1))) (.f32 (neg.f32 u1) u1)))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (fma.f32 #s(literal -2 binary32) (.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (fma.f32 #s(literal -2 binary32) (.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))

Outputs

#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))

(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))

Calls

6 calls:

17.0ms	u1
16.0ms	(-.f32 #s(literal 1 binary32) u1)
15.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
14.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
13.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Results

Accuracy	Segments	Branch
98.3%	2	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
98.7%	2	`(-.f32 #s(literal 1 binary32) u1)`
98.7%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
98.7%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
98.7%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
98.7%	2	`u1`

Compiler

Compiled 32 to 43 computations (-34.4% saved)

regimes74.0ms (0.7%)

Memory

1.6MiB live, 95.7MiB allocated; 2ms collecting garbage

Counts

55 → 2

Calls

Call 1

Inputs
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (neg.f32 (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (.f32 #s(literal -1 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))))
#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (log (pow (* (- 1 u1) (- 1 u1)) -1/2))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (neg.f32 u1) u1)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1) (neg.f32 (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1) (.f32 #s(literal -1 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (cos.f32 (.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32))) #s(approx (sqrt (neg (log (- 1 u1)))) (sqrt.f32 u1)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))) (sqrt.f32 u1)))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (sin.f32 #s(approx (+ (* -2 (* u2 (PI))) (/ (PI) 2)) (*.f32 (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)) (PI.f32)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1)) (log1p.f32 (.f32 (neg.f32 u1) u1)))))
#s(approx (* (sqrt (log (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (.f32 (.f32 (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1)))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (sin.f32 (fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (sin.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 #s(approx (+ ( 1/4 u1) 1/3) #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1)))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (.f32 (-.f32 (.f32 (.f32 (fma.f32 #s(literal -1/3 binary32) (.f32 u1 u1) #s(literal -1/2 binary32)) u1) u1) #s(literal 1 binary32)) (*.f32 u1 u1))))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (sin.f32 (fma.f32 #s(literal -2 binary32) (.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (sin.f32 (fma.f32 #s(literal -2 binary32) (.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
#s(approx (* (sqrt (log (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1)))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (.f32 (-.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/4 binary32) u1) u1 #s(literal -1/3 binary32)) (.f32 u1 u1) #s(literal -1/2 binary32)) u1) u1) #s(literal 1 binary32)) (.f32 u1 u1))))))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (sin.f32 (fma.f32 #s(literal -2 binary32) (.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (sin.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 ( (neg u1) u1))) (.f32 (neg.f32 u1) u1)))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Outputs

#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))

(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Calls

5 calls:

17.0ms	u1
13.0ms	(-.f32 #s(literal 1 binary32) u1)
13.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
11.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
11.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))

Results

Accuracy	Segments	Branch
98.7%	2	`(-.f32 #s(literal 1 binary32) u1)`
98.7%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
98.7%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
98.7%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
98.7%	2	`u1`

Compiler

Compiled 19 to 29 computations (-52.6% saved)

regimes157.0ms (1.4%)

Memory

-22.3MiB live, 223.1MiB allocated; 19ms collecting garbage

Counts

52 → 2

Calls

Call 1

Inputs
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (neg.f32 (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (.f32 #s(literal -1 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))))
#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (log (pow (* (- 1 u1) (- 1 u1)) -1/2))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (neg.f32 u1) u1)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1) (neg.f32 (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1) (.f32 #s(literal -1 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (cos.f32 (.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32))) #s(approx (sqrt (neg (log (- 1 u1)))) (sqrt.f32 u1)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))) (sqrt.f32 u1)))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (sin.f32 #s(approx (+ (* -2 (* u2 (PI))) (/ (PI) 2)) (*.f32 (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)) (PI.f32)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1)) (log1p.f32 (.f32 (neg.f32 u1) u1)))))
#s(approx (* (sqrt (log (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (.f32 (.f32 (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1)))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (sin.f32 (fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (sin.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 #s(approx (+ ( 1/4 u1) 1/3) #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1)))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (.f32 (-.f32 (.f32 (.f32 (fma.f32 #s(literal -1/3 binary32) (.f32 u1 u1) #s(literal -1/2 binary32)) u1) u1) #s(literal 1 binary32)) (*.f32 u1 u1))))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (sin.f32 (fma.f32 #s(literal -2 binary32) (.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (sin.f32 (fma.f32 #s(literal -2 binary32) (.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
#s(approx (* (sqrt (log (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1)))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (.f32 (-.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/4 binary32) u1) u1 #s(literal -1/3 binary32)) (.f32 u1 u1) #s(literal -1/2 binary32)) u1) u1) #s(literal 1 binary32)) (.f32 u1 u1))))))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (sin.f32 (fma.f32 #s(literal -2 binary32) (.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (sin.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Outputs

#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))

(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))

Calls

10 calls:

33.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
19.0ms	u1
15.0ms	(-.f32 #s(literal 1 binary32) u1)
14.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
13.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
97.8%	2	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
96.9%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
96.9%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
93.1%	1	`cosTheta_i`
96.9%	2	`u2`
97.3%	2	`(-.f32 #s(literal 1 binary32) u1)`
97.3%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
97.3%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
97.3%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
97.3%	2	`u1`

Compiler

Compiled 45 to 64 computations (-42.2% saved)

regimes11.0ms (0.1%)

Memory

27.6MiB live, 27.6MiB allocated; 0ms collecting garbage

Counts

43 → 2

Calls

Call 1

Inputs
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (neg.f32 (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (.f32 #s(literal -1 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))))
#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (log (pow (* (- 1 u1) (- 1 u1)) -1/2))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (neg.f32 u1) u1)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1) (neg.f32 (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1) (.f32 #s(literal -1 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (cos.f32 (.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32))) #s(approx (sqrt (neg (log (- 1 u1)))) (sqrt.f32 u1)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))) (sqrt.f32 u1)))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (sin.f32 #s(approx (+ (* -2 (* u2 (PI))) (/ (PI) 2)) (*.f32 (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)) (PI.f32)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1)) (log1p.f32 (.f32 (neg.f32 u1) u1)))))
#s(approx (* (sqrt (log (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (.f32 (.f32 (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1)))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (sin.f32 (fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (sin.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 #s(approx (+ ( 1/4 u1) 1/3) #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1)))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (.f32 (-.f32 (.f32 (.f32 (fma.f32 #s(literal -1/3 binary32) (.f32 u1 u1) #s(literal -1/2 binary32)) u1) u1) #s(literal 1 binary32)) (*.f32 u1 u1))))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (sin.f32 (fma.f32 #s(literal -2 binary32) (.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))

Outputs

#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))

(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))

Calls

1 calls:

9.0ms

(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Results

Accuracy	Segments	Branch
97.8%	2	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`

Compiler

Compiled 13 to 14 computations (-7.7% saved)

regimes13.0ms (0.1%)

Memory

-19.7MiB live, 25.9MiB allocated; 3ms collecting garbage

Counts

42 → 2

Calls

Call 1

Inputs
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (neg.f32 (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (.f32 #s(literal -1 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))))
#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (log (pow (* (- 1 u1) (- 1 u1)) -1/2))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (neg.f32 u1) u1)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1) (neg.f32 (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1) (.f32 #s(literal -1 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (cos.f32 (.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32))) #s(approx (sqrt (neg (log (- 1 u1)))) (sqrt.f32 u1)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))) (sqrt.f32 u1)))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (sin.f32 #s(approx (+ (* -2 (* u2 (PI))) (/ (PI) 2)) (*.f32 (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)) (PI.f32)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1)) (log1p.f32 (.f32 (neg.f32 u1) u1)))))
#s(approx (* (sqrt (log (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (.f32 (.f32 (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1)))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (sin.f32 (fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (sin.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 #s(approx (+ ( 1/4 u1) 1/3) #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1)))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (.f32 (-.f32 (.f32 (.f32 (fma.f32 #s(literal -1/3 binary32) (.f32 u1 u1) #s(literal -1/2 binary32)) u1) u1) #s(literal 1 binary32)) (*.f32 u1 u1))))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (sin.f32 (fma.f32 #s(literal -2 binary32) (.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Outputs

(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))

Calls

1 calls:

11.0ms

(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Results

Accuracy	Segments	Branch
97.5%	2	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`

Compiler

Compiled 13 to 14 computations (-7.7% saved)

regimes61.0ms (0.5%)

Memory

-0.2MiB live, 145.0MiB allocated; 7ms collecting garbage

Counts

39 → 2

Calls

Call 1

Inputs
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (neg.f32 (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (.f32 #s(literal -1 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))))
#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (log (pow (* (- 1 u1) (- 1 u1)) -1/2))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (neg.f32 u1) u1)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1) (neg.f32 (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1) (.f32 #s(literal -1 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (cos.f32 (.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32))) #s(approx (sqrt (neg (log (- 1 u1)))) (sqrt.f32 u1)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))) (sqrt.f32 u1)))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (sin.f32 #s(approx (+ (* -2 (* u2 (PI))) (/ (PI) 2)) (*.f32 (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)) (PI.f32)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1)) (log1p.f32 (.f32 (neg.f32 u1) u1)))))
#s(approx (* (sqrt (log (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (.f32 (.f32 (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1)))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (sin.f32 (fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (sin.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 #s(approx (+ ( 1/4 u1) 1/3) #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1)))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (.f32 (-.f32 (.f32 (.f32 (fma.f32 #s(literal -1/3 binary32) (.f32 u1 u1) #s(literal -1/2 binary32)) u1) u1) #s(literal 1 binary32)) (*.f32 u1 u1))))))

Outputs

#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))

(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))

Calls

6 calls:

12.0ms	(-.f32 #s(literal 1 binary32) u1)
11.0ms	u1
10.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
10.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
9.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Results

Accuracy	Segments	Branch
96.5%	2	`(-.f32 #s(literal 1 binary32) u1)`
96.5%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
96.5%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
96.5%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
96.5%	2	`u1`
97.2%	2	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`

Compiler

Compiled 32 to 43 computations (-34.4% saved)

regimes64.0ms (0.6%)

Memory

-18.1MiB live, 76.0MiB allocated; 2ms collecting garbage

Counts

37 → 2

Calls

Call 1

Inputs
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (neg.f32 (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (.f32 #s(literal -1 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))))
#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (log (pow (* (- 1 u1) (- 1 u1)) -1/2))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (neg.f32 u1) u1)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1) (neg.f32 (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1) (.f32 #s(literal -1 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (cos.f32 (.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32))) #s(approx (sqrt (neg (log (- 1 u1)))) (sqrt.f32 u1)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))) (sqrt.f32 u1)))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (sin.f32 #s(approx (+ (* -2 (* u2 (PI))) (/ (PI) 2)) (*.f32 (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)) (PI.f32)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1)) (log1p.f32 (.f32 (neg.f32 u1) u1)))))
#s(approx (* (sqrt (log (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (.f32 (.f32 (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1)))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (sin.f32 (fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (sin.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 #s(approx (+ ( 1/4 u1) 1/3) #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Outputs

(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))

Calls

4 calls:

10.0ms	u2
9.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
8.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
8.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Results

Accuracy	Segments	Branch
91.0%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
91.0%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
91.0%	1	`u2`
96.9%	2	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`

Compiler

Compiled 25 to 32 computations (-28% saved)

regimes63.0ms (0.6%)

Memory

1.3MiB live, 96.6MiB allocated; 6ms collecting garbage

Counts

34 → 2

Calls

Call 1

Inputs
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (neg.f32 (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (.f32 #s(literal -1 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))))
#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (log (pow (* (- 1 u1) (- 1 u1)) -1/2))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (neg.f32 u1) u1)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1) (neg.f32 (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1) (.f32 #s(literal -1 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (cos.f32 (.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32))) #s(approx (sqrt (neg (log (- 1 u1)))) (sqrt.f32 u1)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))) (sqrt.f32 u1)))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (sin.f32 #s(approx (+ (* -2 (* u2 (PI))) (/ (PI) 2)) (*.f32 (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)) (PI.f32)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1)) (log1p.f32 (.f32 (neg.f32 u1) u1)))))
#s(approx (* (sqrt (log (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (.f32 (.f32 (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1)))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (sin.f32 (fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (sin.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))

Outputs

#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))

(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))

Calls

7 calls:

9.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
9.0ms	cosTheta_i
9.0ms	u1
8.0ms	(-.f32 #s(literal 1 binary32) u1)
8.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Results

Accuracy	Segments	Branch
87.6%	1	`cosTheta_i`
95.0%	2	`(-.f32 #s(literal 1 binary32) u1)`
95.0%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
95.0%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
95.0%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
95.0%	2	`u1`
95.5%	2	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`

Compiler

Compiled 33 to 46 computations (-39.4% saved)

regimes74.0ms (0.7%)

Memory

44.2MiB live, 137.3MiB allocated; 3ms collecting garbage

Counts

33 → 2

Calls

Call 1

Inputs
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (neg.f32 (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (.f32 #s(literal -1 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))))
#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (log (pow (* (- 1 u1) (- 1 u1)) -1/2))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (neg.f32 u1) u1)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1) (neg.f32 (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1) (.f32 #s(literal -1 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (cos.f32 (.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32))) #s(approx (sqrt (neg (log (- 1 u1)))) (sqrt.f32 u1)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))) (sqrt.f32 u1)))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (sin.f32 #s(approx (+ (* -2 (* u2 (PI))) (/ (PI) 2)) (*.f32 (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)) (PI.f32)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1)) (log1p.f32 (.f32 (neg.f32 u1) u1)))))
#s(approx (* (sqrt (log (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (.f32 (.f32 (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1)))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (sin.f32 (fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (sin.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))

Outputs

#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))

#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))

Calls

9 calls:

9.0ms	(-.f32 #s(literal 1 binary32) u1)
9.0ms	u2
8.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
8.0ms	u1
8.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
91.0%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
91.0%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
91.0%	2	`u2`
93.0%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
93.0%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
93.0%	2	`u1`
93.0%	2	`(-.f32 #s(literal 1 binary32) u1)`
93.0%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
93.7%	2	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`

Compiler

Compiled 44 to 61 computations (-38.6% saved)

regimes9.0ms (0.1%)

Memory

-31.6MiB live, 14.8MiB allocated; 2ms collecting garbage

Counts

30 → 2

Calls

Call 1

Inputs
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (neg.f32 (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (.f32 #s(literal -1 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))))
#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (log (pow (* (- 1 u1) (- 1 u1)) -1/2))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (neg.f32 u1) u1)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1) (neg.f32 (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1) (.f32 #s(literal -1 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (cos.f32 (.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32))) #s(approx (sqrt (neg (log (- 1 u1)))) (sqrt.f32 u1)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))) (sqrt.f32 u1)))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (sin.f32 #s(approx (+ (* -2 (* u2 (PI))) (/ (PI) 2)) (*.f32 (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)) (PI.f32)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1)) (log1p.f32 (.f32 (neg.f32 u1) u1)))))
#s(approx (* (sqrt (log (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (.f32 (.f32 (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Outputs

(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))

Calls

1 calls:

8.0ms

(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Results

Accuracy	Segments	Branch
93.4%	2	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`

Compiler

Compiled 13 to 14 computations (-7.7% saved)

regimes106.0ms (0.9%)

Memory

17.6MiB live, 119.4MiB allocated; 49ms collecting garbage

Counts

28 → 2

Calls

Call 1

Inputs
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (neg.f32 (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (.f32 #s(literal -1 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))))
#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (log (pow (* (- 1 u1) (- 1 u1)) -1/2))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (neg.f32 u1) u1)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1) (neg.f32 (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1) (.f32 #s(literal -1 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (cos.f32 (.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32))) #s(approx (sqrt (neg (log (- 1 u1)))) (sqrt.f32 u1)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))) (sqrt.f32 u1)))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (sin.f32 #s(approx (+ (* -2 (* u2 (PI))) (/ (PI) 2)) (*.f32 (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)) (PI.f32)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1)) (log1p.f32 (.f32 (neg.f32 u1) u1)))))
#s(approx (* (sqrt (log (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (.f32 (.f32 (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)))))

Outputs

#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)))))

#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (*.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))) (sqrt.f32 u1)))

Calls

10 calls:

39.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
10.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
7.0ms	cosTheta_i
7.0ms	u2
7.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
76.9%	1	`cosTheta_i`
87.2%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
87.2%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
87.2%	2	`u2`
86.1%	2	`(-.f32 #s(literal 1 binary32) u1)`
86.1%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
86.1%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
86.1%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
86.1%	2	`u1`
90.3%	3	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`

Compiler

Compiled 45 to 64 computations (-42.2% saved)

regimes29.0ms (0.3%)

Memory

16.0MiB live, 62.8MiB allocated; 2ms collecting garbage

Counts

27 → 3

Calls

Call 1

Inputs
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (neg.f32 (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (.f32 #s(literal -1 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))))
#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (log (pow (* (- 1 u1) (- 1 u1)) -1/2))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (neg.f32 u1) u1)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1) (neg.f32 (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1) (.f32 #s(literal -1 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (cos.f32 (.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32))) #s(approx (sqrt (neg (log (- 1 u1)))) (sqrt.f32 u1)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))) (sqrt.f32 u1)))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (sin.f32 #s(approx (+ (* -2 (* u2 (PI))) (/ (PI) 2)) (*.f32 (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)) (PI.f32)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1)) (log1p.f32 (.f32 (neg.f32 u1) u1)))))
#s(approx (* (sqrt (log (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))))))

Outputs

#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (*.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))) (sqrt.f32 u1)))

#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))

#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))))))

Calls

4 calls:

8.0ms	u2
7.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
6.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
6.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Results

Accuracy	Segments	Branch
90.2%	3	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
86.9%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
86.9%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
86.9%	2	`u2`

Compiler

Compiled 25 to 32 computations (-28% saved)

regimes10.0ms (0.1%)

Memory

-30.7MiB live, 15.6MiB allocated; 3ms collecting garbage

Counts

26 → 3

Calls

Call 1

Inputs
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (neg.f32 (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (.f32 #s(literal -1 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))))
#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (log (pow (* (- 1 u1) (- 1 u1)) -1/2))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (neg.f32 u1) u1)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1) (neg.f32 (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1) (.f32 #s(literal -1 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (cos.f32 (.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32))) #s(approx (sqrt (neg (log (- 1 u1)))) (sqrt.f32 u1)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))) (sqrt.f32 u1)))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (sin.f32 #s(approx (+ (* -2 (* u2 (PI))) (/ (PI) 2)) (*.f32 (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)) (PI.f32)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1)) (log1p.f32 (.f32 (neg.f32 u1) u1)))))
#s(approx (* (sqrt (log (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))

Outputs

#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (*.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))) (sqrt.f32 u1)))

#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))

#s(approx (* (sqrt (log (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))

Calls

1 calls:

6.0ms

(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Results

Accuracy	Segments	Branch
90.2%	3	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`

Compiler

Compiled 13 to 14 computations (-7.7% saved)

regimes7.0ms (0.1%)

Memory

14.3MiB live, 14.3MiB allocated; 0ms collecting garbage

Counts

25 → 3

Calls

Call 1

Inputs
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (neg.f32 (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (.f32 #s(literal -1 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))))
#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (log (pow (* (- 1 u1) (- 1 u1)) -1/2))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (neg.f32 u1) u1)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1) (neg.f32 (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1) (.f32 #s(literal -1 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (cos.f32 (.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32))) #s(approx (sqrt (neg (log (- 1 u1)))) (sqrt.f32 u1)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))) (sqrt.f32 u1)))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (sin.f32 #s(approx (+ (* -2 (* u2 (PI))) (/ (PI) 2)) (*.f32 (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)) (PI.f32)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1)) (log1p.f32 (.f32 (neg.f32 u1) u1)))))

Outputs

#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (*.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))) (sqrt.f32 u1)))

#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))

#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))

Calls

1 calls:

6.0ms

(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Results

Accuracy	Segments	Branch
90.2%	3	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`

Compiler

Compiled 13 to 14 computations (-7.7% saved)

regimes24.0ms (0.2%)

Memory

-10.2MiB live, 41.2MiB allocated; 2ms collecting garbage

Counts

20 → 3

Calls

Call 1

Inputs
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (neg.f32 (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (.f32 #s(literal -1 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))))
#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (log (pow (* (- 1 u1) (- 1 u1)) -1/2))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (neg.f32 u1) u1)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1) (neg.f32 (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1) (.f32 #s(literal -1 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (cos.f32 (.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32))) #s(approx (sqrt (neg (log (- 1 u1)))) (sqrt.f32 u1)))

Outputs

(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))

#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))

Calls

4 calls:

7.0ms	u2
5.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
5.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
5.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Results

Accuracy	Segments	Branch
86.7%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
86.7%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
86.7%	2	`u2`
90.0%	3	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`

Compiler

Compiled 25 to 32 computations (-28% saved)

regimes51.0ms (0.4%)

Memory

-4.9MiB live, 88.4MiB allocated; 4ms collecting garbage

Counts

18 → 2

Calls

Call 1

Inputs
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (neg.f32 (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (.f32 #s(literal -1 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))))
#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (log (pow (* (- 1 u1) (- 1 u1)) -1/2))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (neg.f32 u1) u1)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1) (neg.f32 (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1) (.f32 #s(literal -1 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))

Outputs

#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))

#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))

Calls

10 calls:

6.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
5.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
5.0ms	cosTheta_i
5.0ms	u2
5.0ms	u1

Results

Accuracy	Segments	Branch
74.1%	1	`cosTheta_i`
78.0%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
78.0%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
78.0%	2	`u1`
78.0%	2	`(-.f32 #s(literal 1 binary32) u1)`
78.0%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
74.1%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
74.1%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
74.1%	1	`u2`
78.0%	2	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`

Compiler

Compiled 45 to 64 computations (-42.2% saved)

regimes23.0ms (0.2%)

Memory

0.9MiB live, 47.1MiB allocated; 2ms collecting garbage

Counts

12 → 1

Calls

Call 1

Inputs
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (neg.f32 (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (.f32 #s(literal -1 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))))

Outputs

#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (*.f32 u1 u1) (sqrt.f32 u1))))

Calls

6 calls:

5.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
4.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
4.0ms	u1
3.0ms	(-.f32 #s(literal 1 binary32) u1)
3.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Results

Accuracy	Segments	Branch
74.1%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
74.1%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
74.1%	1	`u1`
74.1%	1	`(-.f32 #s(literal 1 binary32) u1)`
74.1%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
74.1%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`

Compiler

Compiled 32 to 43 computations (-34.4% saved)

regimes36.0ms (0.3%)

Memory

20.1MiB live, 70.1MiB allocated; 4ms collecting garbage

Counts

11 → 1

Calls

Call 1

Inputs
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (neg.f32 (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (.f32 #s(literal -1 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))

Outputs

#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))

Calls

10 calls:

6.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
3.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
3.0ms	cosTheta_i
3.0ms	u2
3.0ms	(-.f32 #s(literal 1 binary32) u1)

Results

Accuracy	Segments	Branch
73.9%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
73.9%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
73.9%	1	`cosTheta_i`
73.9%	1	`u2`
73.9%	1	`(-.f32 #s(literal 1 binary32) u1)`
73.9%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
73.9%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
73.9%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
73.9%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
73.9%	1	`u1`

Compiler

Compiled 45 to 64 computations (-42.2% saved)

regimes44.0ms (0.4%)

Memory

0.8MiB live, 48.2MiB allocated; 1ms collecting garbage

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))

Outputs

#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))

Calls

10 calls:

25.0ms	(-.f32 #s(literal 1 binary32) u1)
2.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
2.0ms	cosTheta_i
2.0ms	u1
2.0ms	u2

Results

Accuracy	Segments	Branch
72.9%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
72.9%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
72.9%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
72.9%	1	`u1`
72.9%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
72.9%	1	`cosTheta_i`
72.9%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
72.9%	1	`(-.f32 #s(literal 1 binary32) u1)`
72.9%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
72.9%	1	`u2`

Compiler

Compiled 45 to 64 computations (-42.2% saved)

regimes42.0ms (0.4%)

Memory

-9.9MiB live, 37.7MiB allocated; 1ms collecting garbage

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))))

Outputs

#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))))

Calls

10 calls:

26.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
2.0ms	(-.f32 #s(literal 1 binary32) u1)
2.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
2.0ms	cosTheta_i
2.0ms	u2

Results

Accuracy	Segments	Branch
70.6%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
70.6%	1	`(-.f32 #s(literal 1 binary32) u1)`
70.6%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
70.6%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
70.6%	1	`u2`
70.6%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
70.6%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
70.6%	1	`cosTheta_i`
70.6%	1	`u1`
70.6%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`

Compiler

Compiled 45 to 64 computations (-42.2% saved)

regimes49.0ms (0.4%)

Memory

-11.8MiB live, 33.9MiB allocated; 3ms collecting garbage

Accuracy

Total -19.1b remaining (-161.5%)

Threshold costs -19.1b (-161.5%)

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)))

(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))

(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))

Outputs
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)))

Calls

10 calls:

35.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
1.0ms	u1
1.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
1.0ms	(-.f32 #s(literal 1 binary32) u1)
1.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
63.1%	1	`cosTheta_i`
63.1%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
63.1%	1	`(-.f32 #s(literal 1 binary32) u1)`
63.1%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
63.1%	1	`u2`
63.1%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
63.1%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
63.1%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
63.1%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
63.1%	1	`u1`

Compiler

Compiled 45 to 64 computations (-42.2% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.1556936651468277	0.16069665551185608

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.0575994998216629	0.07930514216423035

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.030930660665035248	0.04716721549630165

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.030930660665035248	0.04716721549630165

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.25946030020713806	0.287448525428772

Compiler

Compiled 16 to 20 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.25946030020713806	0.287448525428772

Compiler

Compiled 16 to 20 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.25946030020713806	0.287448525428772

Compiler

Compiled 16 to 20 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.12417038530111313	0.13162489235401154

Compiler

Compiled 16 to 20 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.12417038530111313	0.13162489235401154

Compiler

Compiled 16 to 20 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.05419829115271568	0.05524003505706787

Compiler

Compiled 16 to 20 computations (-25% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0884135439991951	0.08913847804069519

Compiler

Compiled 16 to 20 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0884135439991951	0.08913847804069519

Compiler

Compiled 16 to 20 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.00023439225333277136	0.0002408094151178375

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.18198025226593018	0.21977102756500244
0.0ms	0.0023919756058603525	0.0028575987089425325

Compiler

Compiled 16 to 20 computations (-25% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.18198025226593018	0.21977102756500244
0.0ms	0.0023919756058603525	0.0028575987089425325

Compiler

Compiled 16 to 20 computations (-25% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.22046810388565063	0.2255144864320755
0.0ms	0.0023919756058603525	0.0028575987089425325

Compiler

Compiled 16 to 20 computations (-25% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.22046810388565063	0.2255144864320755
0.0ms	0.0023919756058603525	0.0028575987089425325

Compiler

Compiled 16 to 20 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.22046810388565063	0.2255144864320755

Compiler

Compiled 16 to 20 computations (-25% saved)

simplify68.0ms (0.6%)

Memory

-3.6MiB live, 45.6MiB allocated; 4ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	236	2034
1	300	2032
2	388	2032
3	623	2032
4	1784	2032
5	5971	2032

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 ( (neg u1) u1))) (.f32 (-.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/4 binary32) u1) u1 #s(literal -1/3 binary32)) (.f32 u1 u1) #s(literal -1/2 binary32)) u1) u1) #s(literal 1 binary32)) (.f32 u1 u1))))) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
(if (<=.f32 u1 #s(literal 5368709/33554432 binary32)) #s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 ( (neg u1) u1))) (.f32 (-.f32 (.f32 (.f32 (fma.f32 #s(literal -1/3 binary32) (.f32 u1 u1) #s(literal -1/2 binary32)) u1) u1) #s(literal 1 binary32)) (.f32 u1 u1))))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))))) #s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))))))
(if (<=.f32 u1 #s(literal 16106127/268435456 binary32)) #s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 ( (neg u1) u1))) (.f32 (.f32 (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))))) #s(approx ( (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))))))
(if (<=.f32 u1 #s(literal 5368709/134217728 binary32)) #s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))))) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (fma.f32 #s(literal -2 binary32) (.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32))))))
(if (<=.f32 u1 #s(literal 5368709/134217728 binary32)) #s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))))) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 1090519/4194304 binary32)) #s(approx ( (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))))) (.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))))
(if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 1090519/4194304 binary32)) #s(approx ( (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))))) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))))
(if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 1090519/4194304 binary32)) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))))
(if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 1090519/8388608 binary32)) #s(approx ( (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1)))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))))) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))))
(if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 1090519/8388608 binary32)) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))))
(if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 7381975/134217728 binary32)) #s(approx ( (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1)))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))))) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))))
(if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 5972689/67108864 binary32)) #s(approx ( (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1)))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))))) #s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))))
(if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 5972689/67108864 binary32)) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(approx ( (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))))
(if (<=.f32 u2 #s(literal 8246337/34359738368 binary32)) #s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (.f32 (.f32 (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1))))) #s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))) (sqrt.f32 u1))))
(if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 5368709/2147483648 binary32)) #s(approx ( (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))) (sqrt.f32 u1))) (if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 13421773/67108864 binary32)) #s(approx ( (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)))) #s(approx ( (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))))))))
(if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 5368709/2147483648 binary32)) #s(approx ( (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))) (sqrt.f32 u1))) (if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 13421773/67108864 binary32)) #s(approx ( (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)))) #s(approx ( (sqrt (log (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))))
(if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 5368709/2147483648 binary32)) #s(approx ( (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))) (sqrt.f32 u1))) (if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 7549747/33554432 binary32)) #s(approx ( (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)))) #s(approx ( (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))))
(if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 5368709/2147483648 binary32)) (.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 7549747/33554432 binary32)) #s(approx ( (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)))) #s(approx ( (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))))
(if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 7549747/33554432 binary32)) #s(approx ( (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)))) #s(approx ( (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)))

Outputs
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 ( (neg u1) u1))) (.f32 (-.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/4 binary32) u1) u1 #s(literal -1/3 binary32)) (.f32 u1 u1) #s(literal -1/2 binary32)) u1) u1) #s(literal 1 binary32)) (.f32 u1 u1))))) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
(if (<=.f32 u1 #s(literal 5368709/33554432 binary32)) #s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 ( (neg u1) u1))) (.f32 (-.f32 (.f32 (.f32 (fma.f32 #s(literal -1/3 binary32) (.f32 u1 u1) #s(literal -1/2 binary32)) u1) u1) #s(literal 1 binary32)) (.f32 u1 u1))))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))))) #s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))))))
(if (<=.f32 u1 #s(literal 16106127/268435456 binary32)) #s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 ( (neg u1) u1))) (.f32 (.f32 (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))))) #s(approx ( (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))))))
(if (<=.f32 u1 #s(literal 5368709/134217728 binary32)) #s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))))) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (fma.f32 #s(literal -2 binary32) (.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32))))))
(if (<=.f32 u1 #s(literal 5368709/134217728 binary32)) #s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))))) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 1090519/4194304 binary32)) #s(approx ( (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))))) (.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))))
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(if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 1090519/4194304 binary32)) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))))
(if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 1090519/8388608 binary32)) #s(approx ( (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1)))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))))) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))))
(if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 1090519/8388608 binary32)) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))))
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(if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 5972689/67108864 binary32)) #s(approx ( (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sin (+ (* -2 (* u2 (PI))) (/ (PI) 2)))) (.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1)))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))))) #s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))))
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#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)))

derivations1.2s (11%)

Memory

-0.0MiB live, 808.0MiB allocated; 53ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	283
0	98	248
1	262	237
0	1563	237
0	865	6399
1	3091	5258
0	8967	4957
0	13	39
0	22	39
1	67	39
0	392	39
0	306	1647
1	1051	1359
2	4641	1348
0	8386	1282
0	805	5819
1	2845	4677
0	8954	4432
0	840	6201
1	2970	5047
0	8771	4826
0	47	228
0	88	185
1	268	185
0	1787	185

Stop Event

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

Compiler

Compiled 2 160 to 241 computations (88.8% saved)

preprocess171.0ms (1.5%)

Memory

0.6MiB live, 181.5MiB allocated; 26ms collecting garbage

Remove

(abs cosTheta_i)

(abs u2)

Compiler

Compiled 4 518 to 654 computations (85.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage