Metrics for Beckmann Sample, near normal, slope

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze419.0ms (4.6%)

Memory

8.5MiB live, 785.6MiB allocated; 175ms 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)

sample2.2s (23.8%)

Memory

58.7MiB live, 3 512.5MiB allocated; 592ms collecting garbage

Samples

1.7s	8 256×	0	valid
1.0ms	5×	0	invalid

Precisions

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

const: 463.0ms (35.2% of total)

ival-log: 180.0ms (13.7% of total)

ival-sub: 151.0ms (11.5% of total)

ival-cosu: 138.0ms (10.5% of total)

ival-<=: 127.0ms (9.6% of total)

ival-mult: 78.0ms (5.9% of total)

ival-sqrt: 70.0ms (5.3% of total)

ival-neg: 35.0ms (2.7% of total)

ival-and: 34.0ms (2.6% of total)

ival->: 30.0ms (2.3% of total)

exact: 5.0ms (0.4% of total)

ival-assert: 4.0ms (0.3% of total)

adjust: 3.0ms (0.2% of total)

Bogosity

explain215.0ms (2.4%)

Memory

-2.7MiB live, 255.3MiB allocated; 15ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
196	3	(0.9999852180480957 0.008084062486886978 0.00016930286074057221)	3	(0.9999791383743286 0.012911602854728699 0.04219689965248108)	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
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	-	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
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	196	10

Confusion

	Predicted +	Predicted -
+	188	0
-	8	60

Precision

0.9591836734693877

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	188	0	0
-	8	11	49

Precision?

0.9082125603864735

Recall?

1.0

Freqs

test

number	freq
0	60
1	196

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

74.0ms

512×

valid

Compiler

Compiled 117 to 46 computations (60.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 9.0ms (25.3% of total)

ival-cosu: 8.0ms (22.5% of total)

ival-log: 8.0ms (22.5% of total)

ival-sub: 3.0ms (8.4% of total)

ival-sqrt: 3.0ms (8.4% of total)

ival-pi: 2.0ms (5.6% of total)

ival-neg: 2.0ms (5.6% of total)

exact: 1.0ms (2.8% of total)

adjust: 0.0ms (0% of total)

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

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

preprocess279.0ms (3.1%)

Memory

-18.9MiB live, 167.6MiB allocated; 16ms collecting garbage

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: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.8%	(.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)

simplify158.0ms (1.7%)

Memory

20.5MiB live, 112.1MiB allocated; 8ms collecting garbage

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

localize53.0ms (0.6%)

Memory

-0.4MiB live, 46.9MiB allocated; 2ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.14901887900624547	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
accuracy	0.16796875	(.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	0.3359375	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	14.38865041003135	(log.f32 (-.f32 #s(literal 1 binary32) u1))

Samples

45.0ms

256×

valid

Compiler

Compiled 52 to 16 computations (69.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-sqrt: 21.0ms (57.6% of total)

ival-mult: 4.0ms (11% of total)

ival-log: 4.0ms (11% of total)

ival-cosu: 3.0ms (8.2% of total)

ival-pi: 1.0ms (2.7% of total)

ival-sub: 1.0ms (2.7% of total)

ival-neg: 1.0ms (2.7% 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)

series106.0ms (1.2%)

Memory

2.0MiB live, 55.8MiB allocated; 6ms 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
87.0ms	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)))
7.0ms	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)))

simplify206.0ms (2.3%)

Memory

-16.0MiB live, 119.1MiB allocated; 11ms collecting garbage

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)))

rewrite77.0ms (0.8%)

Memory

5.2MiB live, 59.3MiB allocated; 7ms 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))))

eval8.0ms (0.1%)

Memory: 17.7MiB live, 17.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 592 to 494 computations (80.9% saved)

prune24.0ms (0.3%)

Memory

-24.1MiB live, 22.4MiB allocated; 4ms 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

99.2%

Counts

90 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.8%	(.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)))
▶	98.7%	(.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)))
	96.9%	(.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)))
	56.7%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (fma.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
	56.8%	(.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)))))
✓	56.8%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	52.1%	(.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))))
▶	49.5%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	76.2%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	54.6%	(.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)))
	90.6%	(.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)))
	86.9%	(.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)))
▶	56.8%	(.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 505 to 470 computations (6.9% saved)

simplify149.0ms (1.6%)

Memory

17.8MiB live, 110.6MiB allocated; 4ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f32 (log.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1/2 binary32))
cost-diff	0	(.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)))
cost-diff	1	(log.f32 (-.f32 #s(literal 1 binary32) u1))
cost-diff	3	(exp.f32 (*.f32 (log.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1/2 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	42	328
0	76	319
1	130	319
2	277	319
3	1039	319
4	3188	319
0	8371	302

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

localize184.0ms (2%)

Memory

-11.2MiB live, 180.6MiB allocated; 24ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.16796875	(.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)))
accuracy	0.3359375	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	1.0420921842477677	(exp.f32 (*.f32 (log.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1/2 binary32)))
accuracy	14.38865041003135	(log.f32 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.16796875	(.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	0.1953125	(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
accuracy	0.3359375	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	15.251999494667007	(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
accuracy	0.16796875	(.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	3.9706465509806814	#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	14.38865041003135	(log.f32 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.12109375	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
accuracy	0.16796875	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
accuracy	6.692032271325781	#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
accuracy	14.38865041003135	(log.f32 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.14901887900624547	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
accuracy	0.16796875	(.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	0.30078125	(-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))
accuracy	0.3359375	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)

Samples

150.0ms

256×

valid

Compiler

Compiled 325 to 39 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 131.0ms

ival-sqrt: 52.0ms (39.7% of total)

ival-cosu: 30.0ms (22.9% of total)

ival-mult: 17.0ms (13% of total)

ival-log: 9.0ms (6.9% of total)

ival-sub: 8.0ms (6.1% of total)

ival-log1p: 4.0ms (3.1% of total)

ival-exp: 3.0ms (2.3% of total)

ival-neg: 3.0ms (2.3% of total)

ival-div: 2.0ms (1.5% of total)

ival-pi: 1.0ms (0.8% of total)

ival-add: 1.0ms (0.8% of total)

exact: 1.0ms (0.8% of total)

adjust: 0.0ms (0% of total)

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

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

series283.0ms (3.1%)

Memory

13.4MiB live, 274.8MiB allocated; 59ms collecting garbage

Counts

21 → 156

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))
(exp.f32 (*.f32 (log.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) 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 (log.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1/2 binary32))
(.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))

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
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(* 1/2 (log u1))
(+ (* 1/4 u1) (* 1/2 (log u1)))
(+ (* 1/2 (log u1)) (* u1 (+ 1/4 (* 5/48 u1))))
(+ (* 1/2 (log u1)) (* u1 (+ 1/4 (* u1 (+ 5/48 (* 1/16 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))))))))) (* (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))))))))))
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(+ (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))))))))))))
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(* (* (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))))))))
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(* (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)))))))
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(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
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(+ (log -1) (log (/ 1 u1)))
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(* (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)))))))
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(/ -1 u1)
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(- (+ (* -1/4 (/ (+ (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))) (pow u1 2))) (+ (* -1/12 (/ (+ (* 2 (/ 1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 3))) (+ (* 3 (/ 1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))) (* 2 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3))) (* 1/2 (log (neg (+ (log -1) (* -1 (log (/ 1 u1))))))))) (/ 1/2 (* u1 (+ (log -1) (* -1 (log (/ 1 u1)))))))
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(- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))
(- (+ (* -1 (log (/ -1 u1))) (/ 1 u1)) (* -2 (log (/ -1 u1))))
(- (+ (* -1 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (* -2 (log (/ -1 u1))))
(- (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1))) (* -2 (log (/ -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))))
(* -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))))
(+ (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)))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (/ -1 u1))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (cos (* 2 (* u2 (PI)))) (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)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (log (/ -1 u1)))))
(+ (* -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)))
(* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1))) u1))
(* 1/2 (log (neg (* -1 (log (/ -1 u1))))))
(+ (* 1/2 (log (neg (* -1 (log (/ -1 u1)))))) (* 1/2 (/ 1 (* u1 (log (/ -1 u1))))))
(+ (* -1 (/ (- (* -1/4 (/ (- (/ 1 (log (/ -1 u1))) (/ 1 (pow (log (/ -1 u1)) 2))) u1)) (* 1/2 (/ 1 (log (/ -1 u1))))) u1)) (* 1/2 (log (neg (* -1 (log (/ -1 u1)))))))
(+ (* -1 (/ (- (* -1 (/ (+ (* -1/12 (/ (- (* 3 (/ 1 (pow (log (/ -1 u1)) 2))) (+ (* 2 (/ 1 (log (/ -1 u1)))) (* 2 (/ 1 (pow (log (/ -1 u1)) 3))))) u1)) (* 1/4 (- (/ 1 (log (/ -1 u1))) (/ 1 (pow (log (/ -1 u1)) 2))))) u1)) (* 1/2 (/ 1 (log (/ -1 u1))))) u1)) (* 1/2 (log (neg (* -1 (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))) (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 (- 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)))))))))))
(* 2 (* 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)))))))
(* (cos (* 2 (* u2 (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 (- 1 u1)))))
(cos (* 2 (* u2 (PI))))

Calls

9 calls:

Time	Variable		Point	Expression
124.0ms	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)) (exp (* (log (neg (log (- 1 u1)))) 1/2)) (* (exp (* (log (neg (log (- 1 u1)))) 1/2)) (cos (* (* 2 (PI)) u2))) (* (log (neg (log (- 1 u1)))) 1/2) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (cos (* (* 2 (PI)) u2)) (cos (* (* 2 (PI)) u2)) (* (PI) (PI)))
65.0ms	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)) (exp (* (log (neg (log (- 1 u1)))) 1/2)) (* (exp (* (log (neg (log (- 1 u1)))) 1/2)) (cos (* (* 2 (PI)) u2))) (* (log (neg (log (- 1 u1)))) 1/2) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (cos (* (* 2 (PI)) u2)) (cos (* (* 2 (PI)) u2)) (* (PI) (PI)))
36.0ms	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)) (exp (* (log (neg (log (- 1 u1)))) 1/2)) (* (exp (* (log (neg (log (- 1 u1)))) 1/2)) (cos (* (* 2 (PI)) u2))) (* (log (neg (log (- 1 u1)))) 1/2) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (cos (* (* 2 (PI)) u2)) (cos (* (* 2 (PI)) u2)) (* (PI) (PI)))
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)) (exp (* (log (neg (log (- 1 u1)))) 1/2)) (* (exp (* (log (neg (log (- 1 u1)))) 1/2)) (cos (* (* 2 (PI)) u2))) (* (log (neg (log (- 1 u1)))) 1/2) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (cos (* (* 2 (PI)) u2)) (cos (* (* 2 (PI)) u2)) (* (PI) (PI)))
3.0ms	u2	@	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)) (exp (* (log (neg (log (- 1 u1)))) 1/2)) (* (exp (* (log (neg (log (- 1 u1)))) 1/2)) (cos (* (* 2 (PI)) u2))) (* (log (neg (log (- 1 u1)))) 1/2) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (cos (* (* 2 (PI)) u2)) (cos (* (* 2 (PI)) u2)) (* (PI) (PI)))

simplify219.0ms (2.4%)

Memory

6.9MiB live, 203.0MiB allocated; 62ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	739	5071
1	2577	4073
0	8558	3901

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 155

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))))))
(+ (* (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)))))
(* 1/2 (log u1))
(+ (* 1/4 u1) (* 1/2 (log u1)))
(+ (* 1/2 (log u1)) (* u1 (+ 1/4 (* 5/48 u1))))
(+ (* 1/2 (log u1)) (* u1 (+ 1/4 (* u1 (+ 5/48 (* 1/16 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))))))))) (* (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))))
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rewrite59.0ms (0.6%)

Memory

3.0MiB live, 95.7MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	202
0	76	177
1	202	176
0	1159	176

Stop Event

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

Counts

21 → 181

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))
(exp.f32 (*.f32 (log.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) 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 (log.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1/2 binary32))
(.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))

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

eval71.0ms (0.8%)

Memory: 27.1MiB live, 76.3MiB allocated; 47ms collecting garbage
Compiler: Compiled 11 986 to 1 394 computations (88.4% saved)

prune41.0ms (0.5%)

Memory

-18.2MiB live, 76.8MiB allocated; 10ms collecting garbage

Pruning

40 alts after pruning (37 fresh and 3 done)

	Pruned	Kept	Total
New	318	34	352
Fresh	5	3	8
Picked	3	2	5
Done	0	1	1
Total	326	40	366

Accuracy

99.8%

Counts

366 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.3%	(fma.f32 (cosh.f32 (log.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 (sinh.f32 (log.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))
	56.8%	(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	52.4%	(.f32 (+.f32 (sinh.f32 (log.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))) (cosh.f32 (log.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%	(.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)))
	98.5%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))) (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))))))
	98.4%	(.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))))))
	98.6%	(.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)))))
▶	98.8%	(.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)))) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	56.7%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (fma.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
	56.8%	(.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)))))
✓	56.8%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	52.1%	(.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))))
	90.6%	(.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))) (.f32 (-.f32 (.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)))
	54.6%	(.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)))))
	50.0%	(.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))))
	53.4%	(.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)))
	53.6%	(.f32 (sqrt.f32 (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.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))))) (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)))
	90.6%	(.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)))
	86.9%	(.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)))
✓	56.8%	(.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)))
	56.8%	(.f32 (exp.f32 (log.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	88.8%	(.f32 (exp.f32 #s(approx ( (log (neg (log (- 1 u1)))) 1/2) (fma.f32 (log.f32 u1) #s(literal 1/2 binary32) (.f32 (fma.f32 #s(literal 5/48 binary32) u1 #s(literal 1/4 binary32)) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	85.1%	(.f32 (exp.f32 #s(approx ( (log (neg (log (- 1 u1)))) 1/2) (fma.f32 (log.f32 u1) #s(literal 1/2 binary32) (.f32 #s(literal 1/4 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	74.8%	(.f32 (exp.f32 #s(approx ( (log (neg (log (- 1 u1)))) 1/2) (.f32 (log.f32 u1) #s(literal 1/2 binary32)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.6%	(.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)))
▶	89.8%	(.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)))
	87.2%	(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.2%	(.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)))
	4.0%	(.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))))
▶	4.6%	(.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)))
	92.6%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (fma.f32 (fma.f32 (fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2))) (.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 u1)) (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2)))))) u1 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2))))) (.f32 u1 u1) (.f32 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2))) (sqrt.f32 u1))))
	91.3%	#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))))))
▶	89.8%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (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 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2))) (sqrt.f32 u1))))
	87.2%	#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))))))
	98.7%	#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)))))
	79.3%	#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)))))
	49.5%	#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 2 239 to 1 802 computations (19.5% saved)

simplify228.0ms (2.5%)

Memory

7.1MiB live, 322.3MiB allocated; 49ms collecting garbage

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	(cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2)))
cost-diff	0	(.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))))
cost-diff	0	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (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 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2))) (sqrt.f32 u1))))
cost-diff	7	(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 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2))) (sqrt.f32 u1)))
cost-diff	0	(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))
cost-diff	0	(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))
cost-diff	0	#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)))
cost-diff	0	(.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)))
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)))) (cos.f32 (fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) u2) (.f32 u2 (PI.f32)))))
cost-diff	7	(fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) u2) (.f32 u2 (PI.f32)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	532
0	125	564
1	213	494
2	489	494
3	1584	494
4	5531	494
0	8580	487

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

localize410.0ms (4.5%)

Memory

14.6MiB live, 579.3MiB allocated; 243ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.16796875	(.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)))
accuracy	0.3125	(log1p.f32 (fma.f32 u1 u1 u1))
accuracy	0.3359375	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	23.39075623529904	(log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))
accuracy	0.1953125	(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))
accuracy	0.3359375	(*.f32 (PI.f32) u2)
accuracy	0.37109375	(*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))
accuracy	3.0330908658044304	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (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 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2))) (sqrt.f32 u1))))
accuracy	0.1953125	(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))
accuracy	0.3359375	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	0.37109375	(*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))
accuracy	3.0432446924639454	#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)))
accuracy	0.0	(sqrt.f32 u1)
accuracy	0.16796875	(.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	6.692032271325781	#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
accuracy	30.893524110113795	#s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1)))
accuracy	0.16796875	(.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)))))
accuracy	0.19921875	(*.f32 (cbrt.f32 (PI.f32)) u2)
accuracy	0.30078125	(-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))
accuracy	0.3359375	(*.f32 u2 (PI.f32))

Samples

281.0ms	152×	1	valid
67.0ms	104×	0	valid

Compiler

Compiled 513 to 63 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 214.0ms

ival-mult: 57.0ms (26.6% of total)

ival-div: 39.0ms (18.2% of total)

adjust: 32.0ms (15% of total)

ival-sub: 12.0ms (5.6% of total)

ival-sqrt: 12.0ms (5.6% of total)

ival-log: 10.0ms (4.7% of total)

ival-cos: 9.0ms (4.2% of total)

ival-add: 9.0ms (4.2% of total)

ival-log1p: 9.0ms (4.2% of total)

ival-neg: 6.0ms (2.8% of total)

const: 4.0ms (1.9% of total)

ival-pow: 4.0ms (1.9% of total)

ival-cosu: 4.0ms (1.9% of total)

ival-pow2: 4.0ms (1.9% of total)

ival-pi: 2.0ms (0.9% of total)

ival-cbrt: 2.0ms (0.9% of total)

exact: 1.0ms (0.5% of total)

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

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

series183.0ms (2%)

Memory

1.4MiB live, 279.6MiB allocated; 39ms collecting garbage

Counts

28 → 181

Calls

Call 1

Inputs
(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)))) (cos.f32 (fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) u2) (.f32 u2 (PI.f32)))))
(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 #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))))) (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)))
(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))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))
(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 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2))) (sqrt.f32 u1)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (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 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2))) (sqrt.f32 u1))))
(.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))))
(cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2)))
(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 u2 (PI.f32))
(-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))
(*.f32 (cbrt.f32 (PI.f32)) u2)
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
(*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 (PI.f32) u2)
(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 (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) (* u1 (+ (* 1/6 (sqrt (pow u1 3))) (* 1/4 (sqrt u1)))))
(* 1/4 (sqrt (/ 1 u1)))
(/ (+ (* 1/6 (sqrt (pow u1 3))) (* 1/4 (sqrt u1))) u1)
(* (sqrt u1) (cos (* -2 (* u2 (PI)))))
(+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* -2 (* u2 (PI)))))) (* (sqrt u1) (cos (* -2 (* u2 (PI))))))
(+ (* u1 (+ (* 1/6 (* (sqrt (pow u1 3)) (cos (* -2 (* u2 (PI)))))) (* 1/4 (* (sqrt u1) (cos (* -2 (* u2 (PI)))))))) (* (sqrt u1) (cos (* -2 (* u2 (PI))))))
(* 1/4 (* (sqrt (/ 1 u1)) (cos (* -2 (* u2 (PI))))))
(/ (+ (* 1/6 (* (sqrt (pow u1 3)) (cos (* -2 (* u2 (PI)))))) (* 1/4 (* (sqrt u1) (cos (* -2 (* u2 (PI))))))) 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))
(* -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))
(* 1/6 (sqrt u1))
(* 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)))))
(* (* (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)))))))))
(* 1/6 (sqrt (pow u1 5)))
(* (pow u1 3) (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/4 (sqrt (/ 1 (pow u1 3))))))
(* (pow u1 3) (+ (sqrt (/ 1 (pow u1 5))) (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/4 (sqrt (/ 1 (pow u1 3)))))))
(* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/4 (sqrt (/ 1 (pow u1 3))))))
(* 1/6 (* (sqrt (pow u1 5)) (cos (* -2 (* u2 (PI))))))
(* (pow u1 3) (+ (* 1/6 (* (sqrt (/ 1 u1)) (cos (* -2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (cos (* -2 (* u2 (PI))))))))
(* (pow u1 3) (+ (* 1/6 (* (sqrt (/ 1 u1)) (cos (* -2 (* u2 (PI)))))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (cos (* -2 (* u2 (PI)))))) (* (sqrt (/ 1 (pow u1 5))) (cos (* -2 (* u2 (PI))))))))
(* 1/6 (* (sqrt u1) (cos (* -2 (* u2 (PI))))))
(* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (cos (* -2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (cos (* -2 (* u2 (PI))))))))
(+ (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)))))))))))
(+ (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 (* (/ (- 1/3 (* 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 (* (/ (- 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))))))))))))
(- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1)))))
(- (+ (* -2 (log (/ 1 u1))) (/ 1 u1)) (+ (log -1) (* -3 (log (/ 1 u1)))))
(- (+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1)))))
(- (+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3)))))) (+ (log -1) (* -3 (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)))
(* -2 (log (/ 1 u1)))
(+ (* -2 (log (/ 1 u1))) (/ 1 u1))
(+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))
(- (+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (* 2/3 (/ 1 (pow u1 3))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))
(sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))
(+ (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))))
(+ (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) (* -1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)))
(+ (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* 1/2 (* (/ (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* -1/2 (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) u1)))
(- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))
(- (+ (* -1 (log (/ -1 u1))) (/ 1 u1)) (* -2 (log (/ -1 u1))))
(- (+ (* -1 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (* -2 (log (/ -1 u1))))
(- (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1))) (* -2 (log (/ -1 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)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1/6 (* (sqrt (pow u1 5)) (pow (sqrt -1) 2)))
(* -1 (* (pow u1 3) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/6 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))))
(* -1 (* (pow u1 3) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/4 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))) u1)) (* 1/6 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))))
(* -1/6 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* u1 (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/6 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))))
(* -1/6 (* (sqrt (pow u1 5)) (* (cos (* -2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(* -1 (* (pow u1 3) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* -2 (* u2 (PI)))) (pow (sqrt -1) 2)))) (* 1/6 (* (sqrt (/ 1 u1)) (* (cos (* -2 (* u2 (PI)))) (pow (sqrt -1) 2)))))))
(* -1 (* (pow u1 3) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* -2 (* u2 (PI)))) (pow (sqrt -1) 2)))) (* 1/4 (* (sqrt (/ 1 u1)) (* (cos (* -2 (* u2 (PI)))) (pow (sqrt -1) 2))))) u1)) (* 1/6 (* (sqrt (/ 1 u1)) (* (cos (* -2 (* u2 (PI)))) (pow (sqrt -1) 2)))))))
(* -1/6 (* (sqrt u1) (* (cos (* -2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(* -1 (* u1 (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* -2 (* u2 (PI)))) (pow (sqrt -1) 2)))) (* 1/6 (* (sqrt (/ 1 u1)) (* (cos (* -2 (* u2 (PI)))) (pow (sqrt -1) 2)))))))
(* -3 (log (/ -1 u1)))
(- (* -3 (log (/ -1 u1))) (/ 1 (pow u1 3)))
(+ (* -3 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow u1 3)))) (pow u1 3))))
(+ (* -3 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 6)) (* 1/2 (/ 1 (pow u1 3))))) (pow u1 3))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (* (cos (* 2 (* u2 (PI)))) (- 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 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 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 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))
(sqrt (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))
(+ (sqrt (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))))
(+ (sqrt (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))) (* -1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))))) u1)))
(+ (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)))
(- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))
(- (+ (* -2 (log (/ -1 u1))) (/ 1 u1)) (* -3 (log (/ -1 u1))))
(- (+ (* -2 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (* -3 (log (/ -1 u1))))
(- (+ (* -2 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1))) (* -3 (log (/ -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))))
(* -2 (log (/ -1 u1)))
(+ (* -2 (log (/ -1 u1))) (/ 1 u1))
(+ (* -2 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))
(+ (* -2 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- 1/2 (* 2/3 (/ 1 u1))) u1)) 1) u1)))
(* 2 (* u2 (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 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 u1) (+ (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))) (* (pow u2 2) (+ (* -2 (* (sqrt u1) (pow (PI) 2))) (* -2 (* (pow u1 2) (* (pow (PI) 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1)))))))))))
(+ (sqrt u1) (+ (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))) (* (pow u2 2) (+ (* -2 (* (sqrt u1) (pow (PI) 2))) (+ (* -2 (* (pow u1 2) (* (pow (PI) 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))) (* (pow u2 2) (+ (* 2/3 (* (sqrt u1) (pow (PI) 4))) (* 2/3 (* (pow u1 2) (* (pow (PI) 4) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))))))))))
(+ (sqrt u1) (+ (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))) (* (pow u2 2) (+ (* -2 (* (sqrt u1) (pow (PI) 2))) (+ (* -2 (* (pow u1 2) (* (pow (PI) 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))) (* (pow u2 2) (+ (* 2/3 (* (sqrt u1) (pow (PI) 4))) (+ (* 2/3 (* (pow u1 2) (* (pow (PI) 4) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))) (* (pow u2 2) (+ (* -4/45 (* (sqrt u1) (pow (PI) 6))) (* -4/45 (* (pow u1 2) (* (pow (PI) 6) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1)))))))))))))))))
(+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))
(+ (* -2 (* (pow u2 2) (* (pow (PI) 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1)))))
(+ (* 1/6 (sqrt u1)) (+ (* 1/4 (sqrt (/ 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1)))))) (* 2/3 (* (pow u2 2) (* (pow (PI) 4) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1)))))))))))
(+ (* 1/6 (sqrt u1)) (+ (* 1/4 (sqrt (/ 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1)))))) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (* (pow (PI) 6) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))) (* 2/3 (* (pow (PI) 4) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))))))))
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)))))))
(sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3)))))
(+ (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))))))))
(+ (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))))))))))
(+ (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))))))))))))
(* u2 (PI))
(* u2 (cbrt (PI)))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(+ (* (sqrt u1) (cos (* -2 (* u2 (PI))))) (* (pow u1 2) (* (cos (* -2 (* u2 (PI)))) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1)))))))
(* (cos (* -2 (* u2 (PI)))) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1)))))
(cos (* -2 (* u2 (PI))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))
(cos (* 2 (* u2 (PI))))

Calls

9 calls:

Time	Variable		Point	Expression
90.0ms	u2	@	inf	((+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) u2)) (* u2 (PI))) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) u2)) (* u2 (PI))))) (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))))) (+ (* (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1))) (* u1 u1)) (sqrt u1)) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1))) (+ (* (* (cos (* -2 (* (PI) u2))) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1)))) (* u1 u1)) (* (cos (* -2 (* (PI) u2))) (sqrt u1))) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (* (cos (* -2 (* (PI) u2))) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1)))) (cos (* -2 (* (PI) u2))) (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))))) (* u2 (PI)) (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))) (* (cbrt (PI)) u2) (cos (* (* 2 (PI)) u2)) (* 1/6 (sqrt u1)) (* (* 2 (PI)) u2) (* (PI) u2) (log (+ 1 (+ (* u1 u1) u1))))
55.0ms	u2	@	-inf	((+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) u2)) (* u2 (PI))) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) u2)) (* u2 (PI))))) (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))))) (+ (* (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1))) (* u1 u1)) (sqrt u1)) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1))) (+ (* (* (cos (* -2 (* (PI) u2))) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1)))) (* u1 u1)) (* (cos (* -2 (* (PI) u2))) (sqrt u1))) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (* (cos (* -2 (* (PI) u2))) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1)))) (cos (* -2 (* (PI) u2))) (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))))) (* u2 (PI)) (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))) (* (cbrt (PI)) u2) (cos (* (* 2 (PI)) u2)) (* 1/6 (sqrt u1)) (* (* 2 (PI)) u2) (* (PI) u2) (log (+ 1 (+ (* u1 u1) u1))))
12.0ms	u1	@	-inf	((+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) u2)) (* u2 (PI))) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) u2)) (* u2 (PI))))) (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))))) (+ (* (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1))) (* u1 u1)) (sqrt u1)) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1))) (+ (* (* (cos (* -2 (* (PI) u2))) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1)))) (* u1 u1)) (* (cos (* -2 (* (PI) u2))) (sqrt u1))) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (* (cos (* -2 (* (PI) u2))) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1)))) (cos (* -2 (* (PI) u2))) (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))))) (* u2 (PI)) (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))) (* (cbrt (PI)) u2) (cos (* (* 2 (PI)) u2)) (* 1/6 (sqrt u1)) (* (* 2 (PI)) u2) (* (PI) u2) (log (+ 1 (+ (* u1 u1) u1))))
7.0ms	u1	@	inf	((+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) u2)) (* u2 (PI))) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) u2)) (* u2 (PI))))) (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))))) (+ (* (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1))) (* u1 u1)) (sqrt u1)) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1))) (+ (* (* (cos (* -2 (* (PI) u2))) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1)))) (* u1 u1)) (* (cos (* -2 (* (PI) u2))) (sqrt u1))) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (* (cos (* -2 (* (PI) u2))) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1)))) (cos (* -2 (* (PI) u2))) (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))))) (* u2 (PI)) (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))) (* (cbrt (PI)) u2) (cos (* (* 2 (PI)) u2)) (* 1/6 (sqrt u1)) (* (* 2 (PI)) u2) (* (PI) u2) (log (+ 1 (+ (* u1 u1) u1))))
6.0ms	u2	@	0	((+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) u2)) (* u2 (PI))) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) u2)) (* u2 (PI))))) (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))))) (+ (* (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1))) (* u1 u1)) (sqrt u1)) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1))) (+ (* (* (cos (* -2 (* (PI) u2))) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1)))) (* u1 u1)) (* (cos (* -2 (* (PI) u2))) (sqrt u1))) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (* (cos (* -2 (* (PI) u2))) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1)))) (cos (* -2 (* (PI) u2))) (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))))) (* u2 (PI)) (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))) (* (cbrt (PI)) u2) (cos (* (* 2 (PI)) u2)) (* 1/6 (sqrt u1)) (* (* 2 (PI)) u2) (* (PI) u2) (log (+ 1 (+ (* u1 u1) u1))))

simplify158.0ms (1.7%)

Memory

7.6MiB live, 188.7MiB allocated; 38ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	829	5988
1	3001	4930
0	8508	4673

Stop Event

1×	iter limit
1×	node limit

Counts

181 → 180

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))))))
(+ (* (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 (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) (* u1 (+ (* 1/6 (sqrt (pow u1 3))) (* 1/4 (sqrt u1)))))
(* 1/4 (sqrt (/ 1 u1)))
(/ (+ (* 1/6 (sqrt (pow u1 3))) (* 1/4 (sqrt u1))) u1)
(* (sqrt u1) (cos (* -2 (* u2 (PI)))))
(+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* -2 (* u2 (PI)))))) (* (sqrt u1) (cos (* -2 (* u2 (PI))))))
(+ (* u1 (+ (* 1/6 (* (sqrt (pow u1 3)) (cos (* -2 (* u2 (PI)))))) (* 1/4 (* (sqrt u1) (cos (* -2 (* u2 (PI)))))))) (* (sqrt u1) (cos (* -2 (* u2 (PI))))))
(* 1/4 (* (sqrt (/ 1 u1)) (cos (* -2 (* u2 (PI))))))
(/ (+ (* 1/6 (* (sqrt (pow u1 3)) (cos (* -2 (* u2 (PI)))))) (* 1/4 (* (sqrt u1) (cos (* -2 (* u2 (PI))))))) 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))
(* -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))
(* 1/6 (sqrt u1))
(* 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)))))
(* (* (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))))))))
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(* (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)))))))))
(* 1/6 (sqrt (pow u1 5)))
(* (pow u1 3) (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/4 (sqrt (/ 1 (pow u1 3))))))
(* (pow u1 3) (+ (sqrt (/ 1 (pow u1 5))) (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/4 (sqrt (/ 1 (pow u1 3)))))))
(* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/4 (sqrt (/ 1 (pow u1 3))))))
(* 1/6 (* (sqrt (pow u1 5)) (cos (* -2 (* u2 (PI))))))
(* (pow u1 3) (+ (* 1/6 (* (sqrt (/ 1 u1)) (cos (* -2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (cos (* -2 (* u2 (PI))))))))
(* (pow u1 3) (+ (* 1/6 (* (sqrt (/ 1 u1)) (cos (* -2 (* u2 (PI)))))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (cos (* -2 (* u2 (PI)))))) (* (sqrt (/ 1 (pow u1 5))) (cos (* -2 (* u2 (PI))))))))
(* 1/6 (* (sqrt u1) (cos (* -2 (* u2 (PI))))))
(* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (cos (* -2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (cos (* -2 (* u2 (PI))))))))
(+ (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)))
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(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(+ (* (sqrt u1) (cos (* -2 (* u2 (PI))))) (* (pow u1 2) (* (cos (* -2 (* u2 (PI)))) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1)))))))
(* (cos (* -2 (* u2 (PI)))) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1)))))
(cos (* -2 (* u2 (PI))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))
(cos (* 2 (* u2 (PI))))

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

rewrite91.0ms (1%)

Memory

23.8MiB live, 81.4MiB allocated; 55ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	374
0	125	333
0	395	331

Stop Event

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

Counts

28 → 90

Calls

Call 1

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

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

eval33.0ms (0.4%)

Memory: 11.5MiB live, 58.8MiB allocated; 11ms collecting garbage
Compiler: Compiled 15 530 to 1 424 computations (90.8% saved)

prune44.0ms (0.5%)

Memory

-5.3MiB live, 85.1MiB allocated; 13ms collecting garbage

Pruning

45 alts after pruning (40 fresh and 5 done)

	Pruned	Kept	Total
New	285	20	305
Fresh	12	20	32
Picked	3	2	5
Done	0	3	3
Total	300	45	345

Accuracy

99.8%

Counts

345 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.3%	(fma.f32 (cosh.f32 (log.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 (sinh.f32 (log.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))
	56.8%	(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	52.4%	(.f32 (+.f32 (sinh.f32 (log.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))) (cosh.f32 (log.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%	(.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)))
	98.6%	(.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)))))
✓	96.9%	(.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)))
	93.5%	(.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)))
	95.6%	(.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (- 1 (pow u1 3))) (.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (pow.f32 u1 #s(literal 3 binary32))) #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)))
	56.7%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (fma.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
	56.8%	(.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)))))
✓	56.8%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	52.1%	(.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))))
	90.6%	(.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))) (.f32 (-.f32 (.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)))
	54.6%	(.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)))))
	50.0%	(.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))))
▶	53.4%	(.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)))
	53.6%	(.f32 (sqrt.f32 (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.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))))) (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)))
	90.6%	(.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)))
	86.9%	(.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)))
✓	56.8%	(.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)))
	74.8%	(.f32 (exp.f32 #s(approx ( (log (neg (log (- 1 u1)))) 1/2) (.f32 (log.f32 u1) #s(literal 1/2 binary32)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.6%	(.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)))
✓	89.8%	(.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)))
▶	87.2%	(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 #s(approx (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt 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)))
▶	76.2%	(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.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)))))
	76.2%	(.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)))
	74.1%	(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) #s(approx (+ (* (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1))) (* u1 u1)) (sqrt u1)) (.f32 (fma.f32 (.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) #s(literal 1/6 binary32) (/.f32 (.f32 #s(literal -1 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))))) (neg.f32 u1))) (pow.f32 (neg.f32 u1) #s(literal 3 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	70.3%	(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) #s(approx (+ (* (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1))) (* u1 u1)) (sqrt u1)) (.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 1/4 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))))) (pow.f32 u1 #s(literal 3 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	4.0%	(.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))))
▶	4.6%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	79.3%	#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))))))
	92.6%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) u2)) (* u2 (PI))))) (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 u1)) (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2)))) (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2))))) u1 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2))))) (.f32 u1 u1) (.f32 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2))) (sqrt.f32 u1))))
	87.2%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) u2)) (* u2 (PI))))) (.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))))))
▶	98.7%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) u2)) (* u2 (PI))))) (.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)))))
	79.3%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) u2)) (* u2 (PI))))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
	89.7%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (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 (sin.f32 (fma.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 u1))))
	73.2%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (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 #s(approx (cos (* -2 (* (PI) u2))) #s(literal 1 binary32)) (sqrt.f32 u1))))
	89.1%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (fma.f32 (.f32 #s(approx (cos ( -2 (* (PI) u2))) (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))) (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 #s(literal -2 binary32) (.f32 (PI.f32) u2))) (sqrt.f32 u1))))
	88.7%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (fma.f32 (.f32 #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))) (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 #s(literal -2 binary32) (.f32 (PI.f32) u2))) (sqrt.f32 u1))))
	89.9%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (fma.f32 (sqrt.f32 u1) (cos.f32 (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) u2)) (.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) u2)) (fma.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (.f32 u1 u1))))
	87.8%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (fma.f32 #s(approx (* (cos (* -2 (* (PI) u2))) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1)))) (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 #s(literal -2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 u1))))
	83.6%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (+ (* (* (cos (* -2 (* (PI) u2))) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1)))) (* u1 u1)) (* (cos (* -2 (* (PI) u2))) (sqrt u1))) (fma.f32 (fma.f32 (.f32 #s(literal 2/3 binary32) (fma.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 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 (pow.f32 (PI.f32) #s(literal 4 binary32)) (sqrt.f32 u1)))) (.f32 u2 u2) (.f32 #s(literal -2 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (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 (.f32 (PI.f32) (PI.f32)) (sqrt.f32 u1))))) (.f32 u2 u2) (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)))))
	80.3%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (+ (* (* (cos (* -2 (* (PI) u2))) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1)))) (* u1 u1)) (* (cos (* -2 (* (PI) u2))) (sqrt u1))) (fma.f32 (.f32 #s(literal -2 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (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 (.f32 (PI.f32) (PI.f32)) (sqrt.f32 u1)))) (.f32 u2 u2) (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)))))
	49.5%	#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 3 418 to 2 557 computations (25.2% saved)

simplify137.0ms (1.5%)

Memory

10.6MiB live, 250.9MiB allocated; 30ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f32 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)) (cos.f32 (fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) u2) (.f32 u2 (PI.f32)))))
cost-diff	7	(fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) u2) (.f32 u2 (PI.f32)))
cost-diff	0	(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	(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	2	(*.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	#s(approx (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)))
cost-diff	0	(fma.f32 #s(approx (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))
cost-diff	0	#s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 #s(approx (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1)))
cost-diff	0	(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 #s(approx (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt 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)))
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	(-.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	(.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))))
cost-diff	0	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) u2)) (* u2 (PI))))) (.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)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	483
0	125	469
1	191	447
2	351	447
3	829	447
4	2980	447
0	8359	441

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

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

localize771.0ms (8.5%)

Memory

-149.3MiB live, 384.0MiB allocated; 1.1s collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.16796875	(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.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)))))
accuracy	0.19921875	(*.f32 (cbrt.f32 (PI.f32)) u2)
accuracy	0.3359375	(*.f32 u2 (PI.f32))
accuracy	7.51235757870629	#s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1))
accuracy	0.14901887900624547	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
accuracy	0.16796875	(.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	0.3359375	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	15.251999494667007	(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	0.19140625	(fma.f32 #s(approx (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))
accuracy	0.3359375	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	3.0432446924639454	#s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 #s(approx (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1)))
accuracy	8.367465508146914	#s(approx (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)))
accuracy	0.0	(neg.f32 (sqrt.f32 u1))
accuracy	0.16796875	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
accuracy	6.692032271325781	#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
accuracy	30.893524110113795	#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
accuracy	0.14901887900624547	(cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2)))
accuracy	0.16796875	(.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))))
accuracy	0.30078125	(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))
accuracy	0.3359375	(*.f32 (PI.f32) u2)

Samples

120.0ms

256×

valid

Compiler

Compiled 433 to 59 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 99.0ms

ival-mult: 29.0ms (29.3% of total)

ival-log1p: 11.0ms (11.1% of total)

ival-sqrt: 10.0ms (10.1% of total)

ival-log: 7.0ms (7.1% of total)

const: 6.0ms (6.1% of total)

ival-cbrt: 6.0ms (6.1% of total)

ival-cos: 5.0ms (5.1% of total)

ival-div: 4.0ms (4% of total)

ival-sub: 4.0ms (4% of total)

ival-add: 4.0ms (4% of total)

ival-cosu: 4.0ms (4% of total)

ival-neg: 4.0ms (4% of total)

ival-pow2: 3.0ms (3% of total)

ival-pi: 1.0ms (1% of total)

exact: 1.0ms (1% of total)

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

adjust: 0.0ms (0% of total)

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

series142.0ms (1.6%)

Memory

-22.4MiB live, 213.4MiB allocated; 25ms collecting garbage

Counts

26 → 145

Calls

Call 1

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

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) (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)))))))
(* (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) (* u1 (+ (* 1/6 (sqrt (pow u1 3))) (* 1/4 (sqrt u1)))))
(* 1/4 (sqrt (/ 1 u1)))
(/ (+ (* 1/6 (sqrt (pow u1 3))) (* 1/4 (sqrt u1))) u1)
1
(+ 1 u1)
(+ 1 (* u1 (+ 1 u1)))
(+ 1 (* u1 (+ 1 (* u1 (+ 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))))))))) (* (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))))))))))
(* (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)))))
(* (* (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)))))))))
(* 1/6 (sqrt (pow u1 5)))
(* (pow u1 3) (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/4 (sqrt (/ 1 (pow u1 3))))))
(* (pow u1 3) (+ (sqrt (/ 1 (pow u1 5))) (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/4 (sqrt (/ 1 (pow u1 3)))))))
(* 1/6 (sqrt u1))
(* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/4 (sqrt (/ 1 (pow u1 3))))))
(/ -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)
(* (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))))))))))
(+ (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 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))
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(* (cos (* -2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))
(+ (* 1/2 (* (/ (cos (* -2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* (cos (* -2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* -2 (* u2 (PI)))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* -1/2 (* (/ (* (cos (* -2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* (cos (* -2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (* (cos (* -2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* 1/2 (* (/ (* (cos (* -2 (* u2 (PI)))) (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* -1/2 (* (cos (* -2 (* u2 (PI)))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* (cos (* -2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))
(sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))
(+ (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))))
(+ (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) (* -1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)))
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(- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))
(- (+ (* -1 (log (/ -1 u1))) (/ 1 u1)) (* -2 (log (/ -1 u1))))
(- (+ (* -1 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (* -2 (log (/ -1 u1))))
(- (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1))) (* -2 (log (/ -1 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)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1/6 (* (sqrt (pow u1 5)) (pow (sqrt -1) 2)))
(* -1 (* (pow u1 3) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/6 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))))
(* -1 (* (pow u1 3) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/4 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))) u1)) (* 1/6 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))))
(* -1/6 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* u1 (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/6 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))))
(* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1))) u1))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (/ -1 u1))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (cos (* 2 (* u2 (PI)))) (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)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (log (/ -1 u1)))))
(+ (* -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)))
(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))) (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) (+ 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)))))))))))))
(* 2 (* u2 (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)))))))
(* u2 (cbrt (PI)))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(* (cos (* -2 (* u2 (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) (+ 1 (* -1 (pow u1 2)))))))
(cos (* -2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))

Calls

9 calls:

Time	Variable		Point	Expression
77.0ms	u2	@	-inf	((* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) u2)) (* u2 (PI))))) (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (cos (* -2 (* (PI) u2)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (- (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) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (+ (* (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1))) (* u1 u1)) (sqrt u1)) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1))) (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1)) (* (sqrt (log (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1)))) (cos (* (* 2 (PI)) u2))) (sqrt (log (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1)))) (log (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1))) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) u2)) (* u2 (PI))) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) u2)) (* u2 (PI))))) (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (* (PI) u2) (cos (* -2 (* (PI) u2))) (cos (* (* 2 (PI)) u2)) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (* u2 (PI)) (* (cbrt (PI)) u2))
42.0ms	u2	@	inf	((* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) u2)) (* u2 (PI))))) (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (cos (* -2 (* (PI) u2)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (- (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) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (+ (* (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1))) (* u1 u1)) (sqrt u1)) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1))) (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1)) (* (sqrt (log (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1)))) (cos (* (* 2 (PI)) u2))) (sqrt (log (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1)))) (log (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1))) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) u2)) (* u2 (PI))) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) u2)) (* u2 (PI))))) (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (* (PI) u2) (cos (* -2 (* (PI) u2))) (cos (* (* 2 (PI)) u2)) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (* u2 (PI)) (* (cbrt (PI)) u2))
4.0ms	u2	@	0	((* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) u2)) (* u2 (PI))))) (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (cos (* -2 (* (PI) u2)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (- (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) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (+ (* (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1))) (* u1 u1)) (sqrt u1)) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1))) (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1)) (* (sqrt (log (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1)))) (cos (* (* 2 (PI)) u2))) (sqrt (log (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1)))) (log (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1))) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) u2)) (* u2 (PI))) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) u2)) (* u2 (PI))))) (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (* (PI) u2) (cos (* -2 (* (PI) u2))) (cos (* (* 2 (PI)) u2)) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (* u2 (PI)) (* (cbrt (PI)) u2))
3.0ms	u1	@	-inf	((* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) u2)) (* u2 (PI))))) (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (cos (* -2 (* (PI) u2)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (- (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) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (+ (* (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1))) (* u1 u1)) (sqrt u1)) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1))) (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1)) (* (sqrt (log (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1)))) (cos (* (* 2 (PI)) u2))) (sqrt (log (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1)))) (log (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1))) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) u2)) (* u2 (PI))) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) u2)) (* u2 (PI))))) (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (* (PI) u2) (cos (* -2 (* (PI) u2))) (cos (* (* 2 (PI)) u2)) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (* u2 (PI)) (* (cbrt (PI)) u2))
3.0ms	u1	@	inf	((* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) u2)) (* u2 (PI))))) (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (cos (* -2 (* (PI) u2)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (- (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) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (+ (* (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1))) (* u1 u1)) (sqrt u1)) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1))) (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1)) (* (sqrt (log (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1)))) (cos (* (* 2 (PI)) u2))) (sqrt (log (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1)))) (log (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1))) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) u2)) (* u2 (PI))) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) u2)) (* u2 (PI))))) (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (* (PI) u2) (cos (* -2 (* (PI) u2))) (cos (* (* 2 (PI)) u2)) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (* u2 (PI)) (* (cbrt (PI)) u2))

simplify239.0ms (2.6%)

Memory

25.0MiB live, 204.8MiB allocated; 43ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	690	5089
1	2448	4094
0	9397	3918

Stop Event

1×	iter limit
1×	node limit

Counts

145 → 144

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) (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)))))))))
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(sqrt u1)
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(+ (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)))
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(* (sqrt u1) (pow (sqrt -1) 2))
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(* -1 (sqrt u1))
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(* 1/4 (sqrt (/ 1 u1)))
(/ (+ (* 1/6 (sqrt (pow u1 3))) (* 1/4 (sqrt u1))) u1)
1
(+ 1 u1)
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(/ -1 u1)
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(+ (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* 1/2 (* (/ (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* -1/2 (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) u1)))
(- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))
(- (+ (* -1 (log (/ -1 u1))) (/ 1 u1)) (* -2 (log (/ -1 u1))))
(- (+ (* -1 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (* -2 (log (/ -1 u1))))
(- (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1))) (* -2 (log (/ -1 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)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1/6 (* (sqrt (pow u1 5)) (pow (sqrt -1) 2)))
(* -1 (* (pow u1 3) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/6 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))))
(* -1 (* (pow u1 3) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/4 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))) u1)) (* 1/6 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))))
(* -1/6 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* u1 (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/6 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))))
(* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1))) u1))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (/ -1 u1))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (cos (* 2 (* u2 (PI)))) (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)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (log (/ -1 u1)))))
(+ (* -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)))
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(sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2))))))
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(* (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) (+ 1 (* -1 (pow u1 2))))))
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(+ (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)))))))))))
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(* 2 (* u2 (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))))))
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(* u2 (cbrt (PI)))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(* (cos (* -2 (* u2 (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) (+ 1 (* -1 (pow u1 2)))))))
(cos (* -2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))

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

rewrite42.0ms (0.5%)

Memory

-10.8MiB live, 79.8MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	370
0	125	335
0	354	328

Stop Event

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

Counts

26 → 66

Calls

Call 1

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

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

eval24.0ms (0.3%)

Memory: -0.1MiB live, 55.8MiB allocated; 8ms collecting garbage
Compiler: Compiled 11 089 to 979 computations (91.2% saved)

prune74.0ms (0.8%)

Memory

4.5MiB live, 244.9MiB allocated; 27ms collecting garbage

Pruning

47 alts after pruning (38 fresh and 9 done)

	Pruned	Kept	Total
New	208	7	215
Fresh	4	31	35
Picked	0	5	5
Done	1	4	5
Total	213	47	260

Accuracy

99.8%

Counts

260 → 47

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.3%	(fma.f32 (cosh.f32 (log.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 (sinh.f32 (log.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))
	56.8%	(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	52.4%	(.f32 (+.f32 (sinh.f32 (log.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))) (cosh.f32 (log.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%	(.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)))
	53.4%	(.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (log.f32 (-.f32 u1 #s(literal -1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.5%	(.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)))
	56.7%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (fma.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
	56.8%	(.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)))))
✓	56.8%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	52.1%	(.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))))
	90.6%	(.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))) (.f32 (-.f32 (.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)))
	54.6%	(.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)))))
	50.0%	(.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))))
✓	53.4%	(.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)))
	53.6%	(.f32 (sqrt.f32 (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.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))))) (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)))
	90.6%	(.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)))
	86.9%	(.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)))
✓	56.8%	(.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)))
	74.8%	(.f32 (exp.f32 #s(approx ( (log (neg (log (- 1 u1)))) 1/2) (.f32 (log.f32 u1) #s(literal 1/2 binary32)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.6%	(.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)))
✓	89.8%	(.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)))
	87.1%	(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 #s(approx (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))) (sin.f32 (fma.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
✓	87.2%	(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 #s(approx (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt 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)))
	87.1%	(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (/.f32 (-.f32 (.f32 (.f32 (.f32 u1 u1) #s(approx (+ ( (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1))) (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) #s(literal 1/4 binary32)))) (.f32 (.f32 u1 u1) #s(approx (+ ( (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1))) (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) #s(literal 1/4 binary32))))) (.f32 (sqrt.f32 u1) (sqrt.f32 u1))) (-.f32 (.f32 (.f32 u1 u1) #s(approx (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1))) (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) #s(literal 1/4 binary32)))) (sqrt.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	76.2%	(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.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)))))
	76.2%	(.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)))
	70.3%	(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) #s(approx (+ (* (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1))) (* u1 u1)) (sqrt u1)) (.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 1/4 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))))) (pow.f32 u1 #s(literal 3 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	74.1%	(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) #s(approx (+ (* (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1))) (* u1 u1)) (sqrt u1)) (.f32 (neg.f32 (pow.f32 u1 #s(literal 3 binary32))) (fma.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 1 binary32) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (neg.f32 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	4.0%	(.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))))
✓	4.6%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	79.3%	#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))))))
	92.6%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) u2)) (* u2 (PI))))) (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 u1)) (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2)))) (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2))))) u1 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2))))) (.f32 u1 u1) (.f32 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2))) (sqrt.f32 u1))))
	87.2%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) u2)) (* u2 (PI))))) (.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))))))
✓	98.7%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) u2)) (* u2 (PI))))) (.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)))))
	53.5%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) u2)) (* u2 (PI))))) (.f32 (sqrt.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2)))))
	79.3%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) u2)) (* u2 (PI))))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
	89.7%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (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 (sin.f32 (fma.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 u1))))
	73.2%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (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 #s(approx (cos (* -2 (* (PI) u2))) #s(literal 1 binary32)) (sqrt.f32 u1))))
	89.1%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (fma.f32 (.f32 #s(approx (cos ( -2 (* (PI) u2))) (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))) (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 #s(literal -2 binary32) (.f32 (PI.f32) u2))) (sqrt.f32 u1))))
	88.7%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (fma.f32 (.f32 #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))) (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 #s(literal -2 binary32) (.f32 (PI.f32) u2))) (sqrt.f32 u1))))
	89.9%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (fma.f32 (sqrt.f32 u1) (cos.f32 (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) u2)) (.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) u2)) (fma.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (.f32 u1 u1))))
	83.6%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (+ (* (* (cos (* -2 (* (PI) u2))) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1)))) (* u1 u1)) (* (cos (* -2 (* (PI) u2))) (sqrt u1))) (fma.f32 (fma.f32 (.f32 #s(literal 2/3 binary32) (fma.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 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 (pow.f32 (PI.f32) #s(literal 4 binary32)) (sqrt.f32 u1)))) (.f32 u2 u2) (.f32 #s(literal -2 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (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 (.f32 (PI.f32) (PI.f32)) (sqrt.f32 u1))))) (.f32 u2 u2) (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)))))
	80.3%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (+ (* (* (cos (* -2 (* (PI) u2))) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1)))) (* u1 u1)) (* (cos (* -2 (* (PI) u2))) (sqrt u1))) (fma.f32 (.f32 #s(literal -2 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (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 (.f32 (PI.f32) (PI.f32)) (sqrt.f32 u1)))) (.f32 u2 u2) (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)))))
	49.5%	#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
	49.1%	#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 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))))
	46.7%	#s(approx (* (sqrt (log (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))

Compiler

Compiled 4 724 to 1 869 computations (60.4% saved)

regimes263.0ms (2.9%)

Memory

-11.2MiB live, 414.6MiB allocated; 35ms collecting garbage

Counts

75 → 1

Calls

Call 1

Inputs
(.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)))
(.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 (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (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)))) #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 (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 (log (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 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)))
(.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 (neg.f32 #s(approx (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))) (.f32 (-.f32 (.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 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 (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 (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))))
#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 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (+ (* (* (cos (* -2 (* (PI) u2))) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1)))) (* u1 u1)) (* (cos (* -2 (* (PI) u2))) (sqrt u1))) (fma.f32 (.f32 #s(literal -2 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (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 (.f32 (PI.f32) (PI.f32)) (sqrt.f32 u1)))) (.f32 u2 u2) (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 ( (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 #s(approx (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt 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 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 #s(approx (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))) (sin.f32 (fma.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (fma.f32 #s(approx (* (cos (* -2 (* (PI) u2))) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1)))) (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 #s(literal -2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 u1))))
(.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))) (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 #s(approx (cos (* -2 (* (PI) u2))) #s(literal 1 binary32)) (sqrt.f32 u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (fma.f32 (.f32 #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))) (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 #s(literal -2 binary32) (.f32 (PI.f32) u2))) (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)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) u2)) (* u2 (PI))))) (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)))
(.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 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (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)))) (sin.f32 (fma.f32 #s(literal -2 binary32) (.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (fma.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
#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 (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) u2)) (* u2 (PI))))) (.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 (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) u2)) (* u2 (PI))))) (.f32 (sqrt.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2)))))
(.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)))))
(.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 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (/.f32 (-.f32 (.f32 (.f32 (.f32 u1 u1) #s(approx (+ ( (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1))) (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) #s(literal 1/4 binary32)))) (.f32 (.f32 u1 u1) #s(approx (+ ( (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1))) (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) #s(literal 1/4 binary32))))) (.f32 (sqrt.f32 u1) (sqrt.f32 u1))) (-.f32 (.f32 (.f32 u1 u1) #s(approx (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1))) (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) #s(literal 1/4 binary32)))) (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))) (fma.f32 (sqrt.f32 u1) (cos.f32 (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) u2)) (.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) u2)) (fma.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (.f32 u1 u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (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 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2))) (sqrt.f32 u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (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 (sin.f32 (fma.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 u1))))
(.f32 (exp.f32 #s(approx ( (log (neg (log (- 1 u1)))) 1/2) (.f32 (log.f32 u1) #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))) (fma.f32 (.f32 #s(approx (cos ( -2 (* (PI) u2))) (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))) (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 #s(literal -2 binary32) (.f32 (PI.f32) u2))) (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 (exp.f32 #s(approx ( (log (neg (log (- 1 u1)))) 1/2) (fma.f32 (log.f32 u1) #s(literal 1/2 binary32) (.f32 #s(literal 1/4 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (exp.f32 #s(approx ( (log (neg (log (- 1 u1)))) 1/2) (fma.f32 (log.f32 u1) #s(literal 1/2 binary32) (.f32 (fma.f32 #s(literal 5/48 binary32) u1 #s(literal 1/4 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))))) (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 (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) u2)) (* u2 (PI))))) (.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)))))
(.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)))
(.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 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (log.f32 (-.f32 u1 #s(literal -1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.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))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) #s(approx (+ (* (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1))) (* u1 u1)) (sqrt u1)) (.f32 (neg.f32 (pow.f32 u1 #s(literal 3 binary32))) (fma.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 1 binary32) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (neg.f32 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) #s(approx (+ (* (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1))) (* u1 u1)) (sqrt u1)) (.f32 (fma.f32 (.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) #s(literal 1/6 binary32) (/.f32 (.f32 #s(literal -1 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))))) (neg.f32 u1))) (pow.f32 (neg.f32 u1) #s(literal 3 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.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 (exp.f32 (log.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 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.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 (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 #s(approx (log (- 1 (pow u1 3))) (.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (pow.f32 u1 #s(literal 3 binary32))) #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)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (+ (* (* (cos (* -2 (* (PI) u2))) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1)))) (* u1 u1)) (* (cos (* -2 (* (PI) u2))) (sqrt u1))) (fma.f32 (fma.f32 (.f32 #s(literal 2/3 binary32) (fma.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 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 (pow.f32 (PI.f32) #s(literal 4 binary32)) (sqrt.f32 u1)))) (.f32 u2 u2) (.f32 #s(literal -2 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (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 (.f32 (PI.f32) (PI.f32)) (sqrt.f32 u1))))) (.f32 u2 u2) (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 ( (neg u1) u1))) (log (+ 1 u1))))) #s(approx (+ (* (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1))) (* u1 u1)) (sqrt u1)) (.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 1/4 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))))) (pow.f32 u1 #s(literal 3 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) 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)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (fma.f32 (fma.f32 (fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2))) (.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 u1)) (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2)))))) u1 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2))))) (.f32 u1 u1) (.f32 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2))) (sqrt.f32 u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) u2)) (* u2 (PI))))) (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 u1)) (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2)))) (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2))))) u1 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2))))) (.f32 u1 u1) (.f32 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2))) (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))))))
(.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 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))) (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))))))
(.f32 (+.f32 (sinh.f32 (log.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))) (cosh.f32 (log.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 (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)))
(fma.f32 (cosh.f32 (log.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 (sinh.f32 (log.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))

Outputs

(*.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)))))

Calls

10 calls:

58.0ms	cosTheta_i
49.0ms	u2
27.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
20.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
19.0ms	(.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
98.8%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
98.8%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
98.8%	1	`(-.f32 #s(literal 1 binary32) u1)`
98.8%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
98.8%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
98.8%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
98.8%	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)))`
98.8%	1	`cosTheta_i`
98.8%	1	`u1`
98.8%	1	`u2`

Compiler

Compiled 45 to 64 computations (-42.2% saved)

regimes227.0ms (2.5%)

Memory

6.5MiB live, 298.0MiB allocated; 64ms collecting garbage

Counts

69 → 1

Calls

Call 1

Inputs
(.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)))
(.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 (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (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)))) #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 (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 (log (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 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)))
(.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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(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) #s(approx (+ (* (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1))) (* u1 u1)) (sqrt u1)) (.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 1/4 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))))) (pow.f32 u1 #s(literal 3 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) 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)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (fma.f32 (fma.f32 (fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2))) (.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 u1)) (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2)))))) u1 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2))))) (.f32 u1 u1) (.f32 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2))) (sqrt.f32 u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) u2)) (* u2 (PI))))) (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 u1)) (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2)))) (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2))))) u1 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2))))) (.f32 u1 u1) (.f32 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2))) (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))))))

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:

39.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
33.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
20.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
19.0ms	(-.f32 #s(literal 1 binary32) u1)
18.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))

Results

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

Compiler

Compiled 45 to 64 computations (-42.2% saved)

regimes125.0ms (1.4%)

Memory

26.0MiB live, 260.7MiB allocated; 23ms collecting garbage

Counts

47 → 2

Calls

Call 1

Inputs
(.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)))
(.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 (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (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)))) #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 (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 (log (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 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)))
(.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 (neg.f32 #s(approx (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))) (.f32 (-.f32 (.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 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 (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 (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))))
#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 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (+ (* (* (cos (* -2 (* (PI) u2))) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1)))) (* u1 u1)) (* (cos (* -2 (* (PI) u2))) (sqrt u1))) (fma.f32 (.f32 #s(literal -2 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (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 (.f32 (PI.f32) (PI.f32)) (sqrt.f32 u1)))) (.f32 u2 u2) (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 ( (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 #s(approx (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt 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 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 #s(approx (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))) (sin.f32 (fma.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (fma.f32 #s(approx (* (cos (* -2 (* (PI) u2))) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1)))) (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 #s(literal -2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 u1))))
(.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))) (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 #s(approx (cos (* -2 (* (PI) u2))) #s(literal 1 binary32)) (sqrt.f32 u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (fma.f32 (.f32 #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))) (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 #s(literal -2 binary32) (.f32 (PI.f32) u2))) (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)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) u2)) (* u2 (PI))))) (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)))
(.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 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (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)))) (sin.f32 (fma.f32 #s(literal -2 binary32) (.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (fma.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
#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 (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) u2)) (* u2 (PI))))) (.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 (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) u2)) (* u2 (PI))))) (.f32 (sqrt.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2)))))
(.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)))))
(.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 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (/.f32 (-.f32 (.f32 (.f32 (.f32 u1 u1) #s(approx (+ ( (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1))) (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) #s(literal 1/4 binary32)))) (.f32 (.f32 u1 u1) #s(approx (+ ( (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1))) (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) #s(literal 1/4 binary32))))) (.f32 (sqrt.f32 u1) (sqrt.f32 u1))) (-.f32 (.f32 (.f32 u1 u1) #s(approx (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1))) (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) #s(literal 1/4 binary32)))) (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))) (fma.f32 (sqrt.f32 u1) (cos.f32 (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) u2)) (.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) u2)) (fma.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (.f32 u1 u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (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 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u2))) (sqrt.f32 u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (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 (sin.f32 (fma.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 u1))))
(.f32 (exp.f32 #s(approx ( (log (neg (log (- 1 u1)))) 1/2) (.f32 (log.f32 u1) #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))) (fma.f32 (.f32 #s(approx (cos ( -2 (* (PI) u2))) (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))) (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 #s(literal -2 binary32) (.f32 (PI.f32) u2))) (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 (exp.f32 #s(approx ( (log (neg (log (- 1 u1)))) 1/2) (fma.f32 (log.f32 u1) #s(literal 1/2 binary32) (.f32 #s(literal 1/4 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (exp.f32 #s(approx ( (log (neg (log (- 1 u1)))) 1/2) (fma.f32 (log.f32 u1) #s(literal 1/2 binary32) (.f32 (fma.f32 #s(literal 5/48 binary32) u1 #s(literal 1/4 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)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Calls

10 calls:

15.0ms	u2
14.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
14.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
14.0ms	(-.f32 #s(literal 1 binary32) u1)
12.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)

Results

Accuracy	Segments	Branch
97.1%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
98.5%	2	`(-.f32 #s(literal 1 binary32) u1)`
98.5%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
98.5%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
98.5%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
98.5%	2	`u1`
97.1%	2	`u2`
97.1%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
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)))`
92.8%	1	`cosTheta_i`

Compiler

Compiled 45 to 64 computations (-42.2% saved)

regimes73.0ms (0.8%)

Memory

-13.4MiB live, 127.8MiB allocated; 14ms collecting garbage

Counts

28 → 2

Calls

Call 1

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

(*.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

9 calls:

12.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
10.0ms	u1
9.0ms	(-.f32 #s(literal 1 binary32) u1)
7.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
7.0ms	u2

Results

Accuracy	Segments	Branch
96.1%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
96.1%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
96.1%	2	`u2`
97.0%	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)))`
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`

Compiler

Compiled 44 to 61 computations (-38.6% saved)

regimes53.0ms (0.6%)

Memory

-7.0MiB live, 38.4MiB allocated; 4ms collecting garbage

Counts

14 → 2

Calls

Call 1

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

Outputs

(*.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))) (*.f32 (-.f32 (*.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

6 calls:

33.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
4.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
4.0ms	u1
4.0ms	(-.f32 #s(literal 1 binary32) u1)
4.0ms	(.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
95.6%	2	`(-.f32 #s(literal 1 binary32) u1)`
95.6%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
95.6%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
95.6%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
95.6%	2	`u1`
96.5%	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 32 to 43 computations (-34.4% saved)

regimes4.0ms (0%)

Memory

6.2MiB live, 6.2MiB allocated; 0ms collecting garbage

Counts

13 → 2

Calls

Call 1

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

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

1 calls:

4.0ms

(*.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 (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)

regimes48.0ms (0.5%)

Memory

9.6MiB live, 56.2MiB allocated; 1ms collecting garbage

Counts

11 → 2

Calls

Call 1

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

(*.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 (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

10 calls:

18.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
3.0ms	u2
3.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
3.0ms	cosTheta_i
3.0ms	u1

Results

Accuracy	Segments	Branch
94.4%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
94.4%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
94.4%	2	`u1`
94.4%	2	`(-.f32 #s(literal 1 binary32) u1)`
94.4%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
86.9%	1	`cosTheta_i`
86.9%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
86.9%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
86.9%	1	`u2`
95.0%	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)

regimes22.0ms (0.2%)

Memory

-6.8MiB live, 37.6MiB allocated; 5ms collecting garbage

Counts

10 → 2

Calls

Call 1

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

6 calls:

7.0ms	(-.f32 #s(literal 1 binary32) u1)
3.0ms	u1
3.0ms	(log.f32 (-.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)))
3.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))

Results

Accuracy	Segments	Branch
92.5%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
92.5%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
92.5%	2	`u1`
92.5%	2	`(-.f32 #s(literal 1 binary32) u1)`
92.5%	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 32 to 43 computations (-34.4% saved)

regimes30.0ms (0.3%)

Memory

-2.2MiB live, 48.8MiB allocated; 5ms collecting garbage

Counts

8 → 2

Calls

Call 1

Inputs
(.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)))
(.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 (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (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)))) #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 (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 (log (* (/ 1 (+ (* (neg u1) u1) 1)) (- u1 -1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 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 (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 #s(literal 1 binary32) u1)
3.0ms	u2
3.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
3.0ms	u1
3.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
76.2%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
76.2%	1	`cosTheta_i`
76.2%	1	`u2`
76.2%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
86.0%	2	`(-.f32 #s(literal 1 binary32) u1)`
86.0%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
86.0%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
86.0%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
86.0%	2	`u1`
87.1%	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)

regimes49.0ms (0.5%)

Memory

-11.2MiB live, 35.8MiB allocated; 2ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

Outputs
#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:

31.0ms	cosTheta_i
2.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
2.0ms	u1
2.0ms	u2
2.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
49.5%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
49.5%	1	`u2`
49.5%	1	`cosTheta_i`
49.5%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
49.5%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
49.5%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
49.5%	1	`u1`
49.5%	1	`(-.f32 #s(literal 1 binary32) u1)`
49.5%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
49.5%	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)))`

Compiler

Compiled 45 to 64 computations (-42.2% saved)

regimes15.0ms (0.2%)

Memory

24.3MiB live, 24.3MiB allocated; 0ms collecting garbage

Accuracy

Total -0.4b remaining (-1.2%)

Threshold costs -0.4b (-1.2%)

Counts

3 → 1

Calls

Call 1

Inputs

(*.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)))

(*.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))))

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

Calls

10 calls:

1.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
1.0ms	u2
1.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
1.0ms	u1
1.0ms	(.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
4.6%	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)))`
4.6%	1	`cosTheta_i`
4.6%	1	`u1`
4.6%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
4.6%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
4.6%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
4.6%	1	`u2`
4.6%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
4.6%	1	`(-.f32 #s(literal 1 binary32) u1)`
4.6%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`

Compiler

Compiled 45 to 64 computations (-42.2% 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	0.03474506735801697	0.036668598651885986

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.18805068731307983	0.1932816356420517

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	0.12753479182720184	0.13921095430850983

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	0.12753479182720184	0.13921095430850983

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	0.06591395288705826	0.07159275561571121

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	0.06591395288705826	0.07159275561571121

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	0.021763648837804794	0.022057920694351196

Compiler

Compiled 16 to 20 computations (-25% saved)

simplify52.0ms (0.6%)

Memory

-11.5MiB live, 80.3MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	518
1	170	518
2	229	518
3	403	518
4	1247	518
5	4599	518

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.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)))))
#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)))))
(if (<=.f32 u1 #s(literal 9395241/268435456 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)))) (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 3187671/16777216 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)) (.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))) (.f32 (-.f32 (.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 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 9395241/134217728 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))) (.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 9395241/134217728 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 (.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 1476395/67108864 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))) #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 (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))

Outputs
(.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)))))
#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)))))
(if (<=.f32 u1 #s(literal 9395241/268435456 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)))) (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 3187671/16777216 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)) (.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))) (.f32 (-.f32 (.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 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 9395241/134217728 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))) (.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 9395241/134217728 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 (.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 1476395/67108864 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))) #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 (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))

derivations712.0ms (7.8%)

Memory

22.0MiB live, 645.6MiB allocated; 106ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	306	1647
1	1051	1359
2	4641	1348
0	8386	1282
0	739	5071
1	2577	4073
0	8558	3901
0	42	202
0	76	177
1	202	176
0	1159	176
0	13	39
0	22	39
1	67	39
0	392	39
0	829	5988
1	3001	4930
0	8508	4673

Stop Event

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

Compiler

Compiled 524 to 122 computations (76.7% saved)

preprocess100.0ms (1.1%)

Memory

-15.5MiB live, 75.0MiB allocated; 11ms collecting garbage

Remove

(abs cosTheta_i)

(abs u2)

Compiler

Compiled 1 170 to 348 computations (70.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze419.0ms (4.6%)

sample2.2s (23.8%)

explain215.0ms (2.4%)

preprocess279.0ms (3.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify158.0ms (1.7%)

localize53.0ms (0.6%)

series106.0ms (1.2%)

simplify206.0ms (2.3%)

rewrite77.0ms (0.8%)

eval8.0ms (0.1%)

prune24.0ms (0.3%)

simplify149.0ms (1.6%)

localize184.0ms (2%)

series283.0ms (3.1%)

simplify219.0ms (2.4%)

rewrite59.0ms (0.6%)

eval71.0ms (0.8%)

prune41.0ms (0.5%)

simplify228.0ms (2.5%)

localize410.0ms (4.5%)

series183.0ms (2%)

simplify158.0ms (1.7%)

rewrite91.0ms (1%)

eval33.0ms (0.4%)

prune44.0ms (0.5%)

simplify137.0ms (1.5%)

localize771.0ms (8.5%)

series142.0ms (1.6%)

simplify239.0ms (2.6%)

rewrite42.0ms (0.5%)

eval24.0ms (0.3%)

prune74.0ms (0.8%)

regimes263.0ms (2.9%)

regimes227.0ms (2.5%)

regimes125.0ms (1.4%)

regimes73.0ms (0.8%)

regimes53.0ms (0.6%)

regimes4.0ms (0%)

regimes48.0ms (0.5%)

regimes22.0ms (0.2%)

regimes30.0ms (0.3%)

regimes49.0ms (0.5%)

regimes15.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify52.0ms (0.6%)

derivations712.0ms (7.8%)

preprocess100.0ms (1.1%)

end0.0ms (0%)

Profiling