Metrics for Beckmann Sample, near normal, slope

analyze311.0ms (2.4%)

Memory

-33.4MiB live, 528.1MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 37 to 28 computations (24.3% saved)

sample2.1s (16.2%)

Memory

68.5MiB live, 2 453.9MiB allocated

Samples

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

Precisions

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

const: 285.0ms (23.4% of total)

ival-mult: 272.0ms (22.4% of total)

ival-log: 163.0ms (13.4% of total)

ival-cos: 116.0ms (9.5% of total)

ival-<=: 109.0ms (9% of total)

ival-sub: 58.0ms (4.8% of total)

ival-sqrt: 58.0ms (4.8% of total)

ival-neg: 53.0ms (4.4% of total)

ival-and: 32.0ms (2.6% of total)

ival-pi: 31.0ms (2.5% of total)

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

exact: 9.0ms (0.7% of total)

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

Bogosity

preprocess43.0ms (0.3%)

Memory

-3.1MiB live, 35.7MiB allocated

Algorithm

1×	egg-herbie

Rules

340×	`associate-r`
254×	`distribute-lft-in`
228×	`associate-l`
184×	`distribute-rgt-in`
158×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	122
1	99	120
2	186	120
3	324	120
4	515	120
5	747	120
6	912	120
7	1252	120
8	1367	120
9	1553	120
10	1562	120
11	1566	120
12	1566	120
0	13	13
1	25	13
2	37	13
3	46	13
4	54	13
5	66	13
6	80	13
7	88	13
8	91	13
0	91	12

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))

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

Symmetry

(abs u2)

(abs cosTheta_i)

explain172.0ms (1.3%)

Memory

8.7MiB live, 227.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
190	8	(0.9999189972877502 0.0028364090248942375 4.041470310767181e-5)	1	(0.9999076128005981 0.027294902130961418 6.750785264131309e-9)	`(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	197	16

Confusion

	Predicted +	Predicted -
+	184	0
-	13	59

Precision

0.934010152284264

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	184	0	0
-	13	16	43

Precision?

0.863849765258216

Recall?

1.0

Freqs

test

number	freq
0	59
1	197

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

53.0ms

512×

valid

Compiler

Compiled 136 to 60 computations (55.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 9.0ms (27.8% of total)

ival-log: 8.0ms (24.7% of total)

ival-cos: 5.0ms (15.5% of total)

ival-sqrt: 3.0ms (9.3% of total)

ival-pi: 2.0ms (6.2% of total)

ival-sub: 2.0ms (6.2% of total)

ival-neg: 2.0ms (6.2% of total)

ival-true: 1.0ms (3.1% of total)

exact: 1.0ms (3.1% of total)

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune10.0ms (0.1%)

Memory

-35.6MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.5%	(.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 16 to 14 computations (12.5% saved)

simplify6.0ms (0%)

Memory

9.2MiB live, 9.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	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	32	(log.f32 (-.f32 #s(literal 1 binary32) u1))

Rules

40×	`-lowering-.f32`
40×	`-lowering-.f64`
32×	`+-lowering-+.f64`
32×	`+-lowering-+.f32`
24×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	50
1	25	50
2	37	50
3	46	50
4	54	50
5	66	50
6	80	50
7	88	50
8	91	50
0	91	46

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
(sqrt (neg (log (- 1 u1))))
(neg (log (- 1 u1)))
(log (- 1 u1))
(- 1 u1)
1
u1
(cos (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2

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

localize49.0ms (0.4%)

Memory

0.6MiB live, 74.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
✓	accuracy	99.6%	(.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	99.1%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	55.5%	(log.f32 (-.f32 #s(literal 1 binary32) u1))

Samples

26.0ms

256×

valid

Compiler

Compiled 52 to 16 computations (69.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-cos: 5.0ms (27.8% of total)

ival-mult: 4.0ms (22.2% of total)

ival-log: 4.0ms (22.2% of total)

ival-sqrt: 2.0ms (11.1% of total)

ival-pi: 1.0ms (5.6% of total)

ival-sub: 1.0ms (5.6% of total)

ival-neg: 1.0ms (5.6% of total)

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

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

exact: 0.0ms (0% of total)

series43.0ms (0.3%)

Memory

30.3MiB live, 74.4MiB allocated

Counts

5 → 72

Calls

Call 1

Inputs
#<alt (log (- 1 u1))>
#<alt (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))>
#<alt (sqrt (neg (log (- 1 u1))))>
#<alt (neg (log (- 1 u1)))>
#<alt (* (* 2 (PI)) u2)>

Outputs
#<alt (* -1 u1)>
#<alt (* u1 (- (* -1/2 u1) 1))>
#<alt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))>
#<alt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))>
#<alt (+ (log -1) (* -1 (log (/ 1 u1))))>
#<alt (- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))>
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))>
#<alt (* -1 (log (/ -1 u1)))>
#<alt (- (* -1 (log (/ -1 u1))) (/ 1 u1))>
#<alt (+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))>
#<alt (+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))>
#<alt (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* (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)))))))))>
#<alt (+ (* (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)))))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -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)))))))>
#<alt (+ (* -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))))))))>
#<alt (+ (* -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)))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))>
#<alt (+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (+ (* -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)))))>
#<alt (+ (* -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)))))>
#<alt (* (sqrt (log (- 1 u1))) (sqrt -1))>
#<alt (+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))>
#<alt (+ (* (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))))))))>
#<alt (+ (* (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))))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
#<alt (+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))>
#<alt (+ (* (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))))))))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -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))))))))>
#<alt (+ (* -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)))))))))>
#<alt (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))>
#<alt (+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt (+ (* -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)))>
#<alt (+ (* -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)))>
#<alt u1>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))>
#<alt (* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (log (/ -1 u1))>
#<alt (- (/ 1 u1) (* -1 (log (/ -1 u1))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))>
#<alt (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>

Calls

18 calls:

Time	Variable		Point	Expression
31.0ms	u2	@	inf	(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
2.0ms	u1	@	-inf	(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
1.0ms	u2	@	0	(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
1.0ms	u1	@	inf	(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
1.0ms	u1	@	0	(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))

rewrite252.0ms (1.9%)

Memory

-2.6MiB live, 389.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 444×	`-lowering-.f32`
3 444×	`-lowering-.f64`
2 098×	`accelerator-lowering-fma.f32`
2 098×	`accelerator-lowering-fma.f64`
2 048×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	33
1	56	33
2	311	33
3	2333	31
0	8636	23

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 228

Calls

Call 1

Inputs
(log (- 1 u1))
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
(sqrt (neg (log (- 1 u1))))
(neg (log (- 1 u1)))
(* (* 2 (PI)) u2)

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

simplify323.0ms (2.5%)

Memory

8.0MiB live, 684.0MiB allocated

Algorithm

1×	egg-herbie

Rules

9 270×	`accelerator-lowering-fma.f32`
9 270×	`accelerator-lowering-fma.f64`
5 620×	`-lowering-.f32`
5 620×	`-lowering-.f64`
3 580×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	289	1737
1	858	1458
2	2728	1335
3	6882	1298
0	8134	1246

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

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

Outputs
(* -1 u1)
(neg.f32 u1)
(* u1 (- (* -1/2 u1) 1))
(*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
(+ (log -1) (* -1 (log (/ 1 u1))))
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (log.f32 u1) (/.f32 #s(literal -1 binary32) u1)))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (log.f32 u1) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1)) u1)))
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
(+.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1)) u1))
(* -1 (log (/ -1 u1)))
(log.f32 (neg.f32 u1))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(+.f32 (log.f32 (neg.f32 u1)) (/.f32 #s(literal -1 binary32) u1))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1)) u1) (log.f32 (neg.f32 u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(-.f32 (log.f32 (neg.f32 u1)) (/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (/.f32 #s(literal 1/3 binary32) (*.f32 u1 u1))) u1))
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (neg.f32 (sqrt.f32 u1)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) (neg.f32 (sqrt.f32 u1))))
(+ (* (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 u1 u1) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 u1) (fma.f32 #s(literal -1/6 binary32) (.f32 u1 u1) #s(literal -1 binary32)))))
(+ (* (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 u1 (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/6 binary32) (.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/16 binary32) u1) #s(literal -1/8 binary32)) (sqrt.f32 u1)))) (.f32 u1 u1)) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (fma.f32 #s(literal -1/4 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 u1)) (neg.f32 (sqrt.f32 u1)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 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)))))))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (.f32 (/.f32 #s(literal -1/2 binary32) u1) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32)))) (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 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))))))))
(fma.f32 #s(literal -1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) u1) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1))))) (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 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)))))))))
(fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (fma.f32 #s(literal -1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (.f32 (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (fma.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/8 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 u1 (.f32 u1 u1))) (.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u1 u1))))))))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(neg.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log.f32 (neg.f32 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)))))
(fma.f32 #s(literal -1/2 binary32) (.f32 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1))))) (neg.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log.f32 (neg.f32 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)))))
(neg.f32 (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1)))) (.f32 (/.f32 #s(literal 1/2 binary32) u1) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (log.f32 (neg.f32 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 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (neg.f32 (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1))))) (/.f32 (fma.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/4 binary32) (log.f32 (neg.f32 u1))) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/8 binary32) (log.f32 (neg.f32 u1)))) (log.f32 (neg.f32 u1)))) u1))))) (/.f32 #s(literal -1/2 binary32) u1) (.f32 #s(literal -1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1))))))) u1))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(+ (* -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))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (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))) (.f32 u2 u2)) (.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 #s(literal 2/3 binary32) (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) #s(literal 4 binary32)))) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (log1p.f32 (neg.f32 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))))))))))
(fma.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 #s(literal -4/45 binary32) (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) #s(literal 6 binary32)))) (.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))) (.f32 (.f32 u2 u2) (.f32 u2 u2)) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (sqrt u1) (pow (sqrt -1) 2))
(neg.f32 (sqrt.f32 u1))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (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 (sqrt.f32 u1) (fma.f32 #s(literal -1/6 binary32) (.f32 u1 u1) #s(literal -1 binary32)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/4 binary32) (.f32 u1 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 (.f32 u1 u1) (fma.f32 u1 (.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/16 binary32) u1) #s(literal -1/8 binary32)) (sqrt.f32 u1)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 #s(literal -1/6 binary32) u1 #s(literal -1/4 binary32)))) (neg.f32 (sqrt.f32 u1)))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(fma.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 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))))))))
(fma.f32 #s(literal -1/2 binary32) (.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) u1) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 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)))))))))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/8 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (.f32 u1 (.f32 u1 u1))) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (.f32 u1 u1))))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))
(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))
(neg.f32 (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1)))))
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1)))) u1) (neg.f32 (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1))))))
(+ (* -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)))
(neg.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1)))) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/8 binary32) (log.f32 (neg.f32 u1)))) u1)) (sqrt.f32 (neg.f32 (log.f32 (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)))
(-.f32 (/.f32 (+.f32 (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1)))) (fma.f32 (/.f32 #s(literal -1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/8 binary32) (log.f32 (neg.f32 u1)))) (log.f32 (neg.f32 u1)))) (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -1/8 binary32) (log.f32 (neg.f32 u1)))))) u1) (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1)))))) u1) (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1)))))
u1
(* u1 (+ 1 (* 1/2 u1)))
(fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)
(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(-.f32 (neg.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 #s(literal -1 binary32)) (log.f32 u1)))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (-.f32 (/.f32 #s(literal 1/3 binary32) (.f32 u1 (*.f32 u1 u1))) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))
(log (/ -1 u1))
(neg.f32 (log.f32 (neg.f32 u1)))
(- (/ 1 u1) (* -1 (log (/ -1 u1))))
(-.f32 (/.f32 #s(literal 1 binary32) u1) (log.f32 (neg.f32 u1)))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (log.f32 (neg.f32 u1))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(-.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1)) u1) (log.f32 (neg.f32 u1)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))

eval39.0ms (0.3%)

Memory: -62.1MiB live, 99.2MiB allocated
Compiler: Compiled 6 989 to 1 365 computations (80.5% saved)

prune93.0ms (0.7%)

Memory

-3.7MiB live, 155.8MiB allocated

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	280	20	300
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	280	21	301

Accuracy

99.9%

Counts

301 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.5%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	74.2%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	74.3%	(.f32 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.7%	(.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.6%	(.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	87.7%	(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	99.2%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	57.2%	(.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 (.f32 u1 u1)))))) (log1p.f32 (.f32 u1 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	99.1%	(.f32 (sqrt.f32 (neg.f32 (fma.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (pow.f32 (log1p.f32 u1) #s(literal -2 binary32)) (log1p.f32 (.f32 u1 (neg.f32 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	99.2%	(.f32 (sqrt.f32 (neg.f32 (fma.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log1p.f32 u1)) (log1p.f32 (.f32 u1 (neg.f32 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	54.5%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))) (.f32 (/.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (/.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (/.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	91.6%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	84.9%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) #s(literal 1 binary32)))) (log1p.f32 (.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.6%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	91.6%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	87.7%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	99.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	57.5%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	76.5%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	73.1%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Compiler

Compiled 1 050 to 698 computations (33.5% saved)

simplify642.0ms (4.9%)

Memory

20.3MiB live, 1 056.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log1p.f32 u1)
✓	cost-diff	0	(pow.f32 (log1p.f32 u1) #s(literal 2 binary32))
✓	cost-diff	0	(pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 1/4 binary32))
✓	cost-diff	0	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	cost-diff	0	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	cost-diff	32	(log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
✓	cost-diff	64	(+.f32 #s(literal -1 binary32) (*.f32 u1 u1))
✓	cost-diff	64	(neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1)))
✓	cost-diff	0	(*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
✓	cost-diff	0	(sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))
✓	cost-diff	0	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	cost-diff	64	(neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
✓	cost-diff	0	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	cost-diff	0	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
✓	cost-diff	0	(sqrt.f32 u1)
✓	cost-diff	0	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	cost-diff	0	(log1p.f32 (neg.f32 u1))
✓	cost-diff	0	(neg.f32 (log1p.f32 (neg.f32 u1)))
✓	cost-diff	0	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	cost-diff	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Rules

31 852×	`accelerator-lowering-fma.f32`
31 852×	`accelerator-lowering-fma.f64`
4 510×	`-lowering-.f32`
4 510×	`-lowering-.f64`
2 464×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	324
1	91	318
2	217	312
3	453	312
4	1152	312
5	1873	312
6	2289	312
7	2687	312
8	3965	312
9	5111	312
10	5708	312
11	5940	312
12	6072	312
13	6107	312
14	6147	312
15	6202	312
16	6778	312
17	7078	312
18	7322	312
19	7495	312
20	7596	312
21	7967	312
0	8538	273

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize223.0ms (1.7%)

Memory

-2.1MiB live, 309.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 1/4 binary32))
✓	accuracy	99.1%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	98.9%	(pow.f32 (log1p.f32 u1) #s(literal 2 binary32))
✓	accuracy	98.2%	(PI.f32)
✓	accuracy	99.1%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	99.1%	(-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1))
✓	accuracy	98.2%	(PI.f32)
✓	accuracy	33.5%	(log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
✓	accuracy	99.6%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	accuracy	99.1%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	99.1%	(*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
✓	accuracy	98.2%	(PI.f32)
✓	accuracy	99.8%	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
✓	accuracy	99.6%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	accuracy	99.1%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	98.2%	(PI.f32)
✓	accuracy	99.7%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	accuracy	99.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	accuracy	99.1%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	98.2%	(PI.f32)

Samples

84.0ms	206×	0	valid
24.0ms	45×	1	valid
6.0ms	5×	5	exit

Compiler

Compiled 293 to 41 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-cos: 23.0ms (25.8% of total)

ival-mult: 19.0ms (21.3% of total)

ival-neg: 7.0ms (7.8% of total)

ival-sqrt: 7.0ms (7.8% of total)

ival-pow: 5.0ms (5.6% of total)

ival-log1p: 5.0ms (5.6% of total)

ival-log: 5.0ms (5.6% of total)

const: 4.0ms (4.5% of total)

ival-add: 4.0ms (4.5% of total)

ival-pow2: 4.0ms (4.5% of total)

adjust: 3.0ms (3.4% of total)

exact: 1.0ms (1.1% of total)

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

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

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

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

series193.0ms (1.5%)

Memory

25.8MiB live, 175.0MiB allocated

Counts

22 → 312

Calls

Call 1

Inputs
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* (* 2 (PI)) u2)))>
#<alt (sqrt (neg (log (+ 1 (neg u1)))))>
#<alt (neg (log (+ 1 (neg u1))))>
#<alt (log (+ 1 (neg u1)))>
#<alt (* (sqrt u1) (cos (* (* 2 (PI)) u2)))>
#<alt (sqrt u1)>
#<alt (cos (* (* 2 (PI)) u2))>
#<alt (* (* 2 (PI)) u2)>
#<alt (neg (* u1 (+ (* u1 (+ (* u1 -1/3) -1/2)) -1)))>
#<alt (* (sqrt (neg (* u1 (+ (* u1 (+ (* u1 -1/3) -1/2)) -1)))) (cos (* (* 2 (PI)) u2)))>
#<alt (sqrt (neg (* u1 (+ (* u1 (+ (* u1 -1/3) -1/2)) -1))))>
#<alt (* u1 (+ (* u1 (+ (* u1 -1/3) -1/2)) -1))>
#<alt (neg (- (log (neg (+ -1 (* u1 u1)))) (log (+ 1 u1))))>
#<alt (+ -1 (* u1 u1))>
#<alt (log (neg (+ -1 (* u1 u1))))>
#<alt (* (sqrt (neg (- (log (neg (+ -1 (* u1 u1)))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2)))>
#<alt (* (pow (pow (log (+ 1 u1)) 2) 1/4) (cos (* (* 2 (PI)) u2)))>
#<alt (pow (pow (log (+ 1 u1)) 2) 1/4)>
#<alt (pow (log (+ 1 u1)) 2)>
#<alt (log (+ 1 u1))>
#<alt (PI)>
#<alt (- (log (neg (+ -1 (* u1 u1)))) (log (+ 1 u1)))>

Outputs
#<alt (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* (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)))))))))>
#<alt (+ (* (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)))))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
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#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))>
#<alt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))>
#<alt (- (+ (* -1 (log (/ 1 u1))) (/ 1 u1)) (+ (log -1) (* -2 (log (/ 1 u1)))))>
#<alt (- (+ (* -1 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))>
#<alt (- (+ (* -1 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3)))))) (+ (log -1) (* -2 (log (/ 1 u1)))))>
#<alt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))>
#<alt (- (+ (* -1 (log (/ -1 u1))) (/ 1 u1)) (* -2 (log (/ -1 u1))))>
#<alt (- (+ (* -1 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (* -2 (log (/ -1 u1))))>
#<alt (- (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1))) (* -2 (log (/ -1 u1))))>
#<alt -1>
#<alt (- (pow u1 2) 1)>
#<alt (- (pow u1 2) 1)>
#<alt (- (pow u1 2) 1)>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (- 1 (/ 1 (pow u1 2))))>
#<alt (* (pow u1 2) (- 1 (/ 1 (pow u1 2))))>
#<alt (* (pow u1 2) (- 1 (/ 1 (pow u1 2))))>
#<alt (pow u1 2)>
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#<alt (* (pow u1 2) (- 1 (/ 1 (pow u1 2))))>
#<alt (* (pow u1 2) (- 1 (/ 1 (pow u1 2))))>
#<alt (* -1 (pow u1 2))>
#<alt (* (pow u1 2) (- (* -1/2 (pow u1 2)) 1))>
#<alt (* (pow u1 2) (- (* (pow u1 2) (- (* -1/3 (pow u1 2)) 1/2)) 1))>
#<alt (* (pow u1 2) (- (* (pow u1 2) (- (* (pow u1 2) (- (* -1/4 (pow u1 2)) 1/3)) 1/2)) 1))>
#<alt (+ (log -1) (* -2 (log (/ 1 u1))))>
#<alt (- (+ (log -1) (* -2 (log (/ 1 u1)))) (/ 1 (pow u1 2)))>
#<alt (+ (log -1) (+ (* -2 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow u1 2)))) (pow u1 2)))))>
#<alt (- (+ (log -1) (+ (* -2 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow u1 2)))) (pow u1 4))))) (/ 1 (pow u1 2)))>
#<alt (+ (log -1) (* -2 (log (/ -1 u1))))>
#<alt (- (+ (log -1) (* -2 (log (/ -1 u1)))) (/ 1 (pow u1 2)))>
#<alt (+ (log -1) (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow u1 2)))) (pow u1 2)))))>
#<alt (- (+ (log -1) (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow u1 2)))) (pow u1 4))))) (/ 1 (pow u1 2)))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* (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)))))))))>
#<alt (+ (* (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)))))))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))>
#<alt (+ (* 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))))))))>
#<alt (+ (* 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)))))))))>
#<alt (+ (* 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))))))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))>
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#<alt (+ (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))))>
#<alt (+ (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))))))>
#<alt (+ (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))) (* 2/3 (* (pow (PI) 4) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))))))))>
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#<alt (+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (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)))))) (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))>
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#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
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#<alt (+ (* -1 (/ (+ (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (+ (log -1) (* -1 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)) (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (sqrt (log (+ 1 u1)))>
#<alt (+ (sqrt (log (+ 1 u1))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log (+ 1 u1))))))>
#<alt (+ (sqrt (log (+ 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (+ 1 u1))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (log (+ 1 u1))))))))>
#<alt (+ (sqrt (log (+ 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (+ 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (log (+ 1 u1))))) (* 2/3 (* (pow (PI) 4) (sqrt (log (+ 1 u1))))))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))>
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#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))>
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#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))>
#<alt (sqrt u1)>
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#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* 1/6 (sqrt u1)))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 u1))))) (* 1/6 (sqrt (/ 1 u1))))))))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt -1))>
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#<alt (+ (* -1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (sqrt (log (/ 1 u1))) (sqrt -1))))>
#<alt (+ (* -1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 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))))) (* (pow u1 3) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (sqrt (log (/ 1 u1))) (sqrt -1)))))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (+ (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))))>
#<alt (+ (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)))>
#<alt (+ (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (* 1/2 (* (/ (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (+ (log -1) (* -1 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)) (* -1/2 (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) u1)))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (+ 1 (* -1 u1)))>
#<alt (* (pow u1 2) (+ 1 (* u1 (- (* 11/12 u1) 1))))>
#<alt (* (pow u1 2) (+ 1 (* u1 (- (* u1 (+ 11/12 (* -5/6 u1))) 1))))>
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#<alt (+ (* -2 (/ (log (/ 1 u1)) u1)) (pow (log (/ 1 u1)) 2))>
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#<alt (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)>
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#<alt u1>
#<alt (* u1 (+ 1 (* -1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (- (* 1/3 u1) 1/2))))>
#<alt (* u1 (+ 1 (* u1 (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))))>
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#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 u1))) (/ 1 u1)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* 1/2 (/ 1 u1)) 1) u1))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 u1)) 1/2) u1)) 1) u1))))>
#<alt (* -1 u1)>
#<alt (* u1 (- (* -1/2 u1) 1))>
#<alt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))>
#<alt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))>
#<alt (- (+ (log -1) (* -2 (log (/ 1 u1)))) (* -1 (log (/ 1 u1))))>
#<alt (- (+ (log -1) (* -2 (log (/ 1 u1)))) (+ (* -1 (log (/ 1 u1))) (/ 1 u1)))>
#<alt (- (+ (log -1) (+ (* -2 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))) (* -1 (log (/ 1 u1))))>
#<alt (- (+ (log -1) (+ (* -2 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (+ (* -1 (log (/ 1 u1))) (/ 1 u1)))>
#<alt (- (* -2 (log (/ -1 u1))) (* -1 (log (/ -1 u1))))>
#<alt (- (* -2 (log (/ -1 u1))) (+ (* -1 (log (/ -1 u1))) (/ 1 u1)))>
#<alt (- (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))) (* -1 (log (/ -1 u1))))>
#<alt (- (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1))) (* -1 (log (/ -1 u1))))>

Calls

78 calls:

Time	Variable		Point	Expression
62.0ms	u1	@	0	(* (pow (pow (log (+ 1 u1)) 2) 1/4) (cos (* (* 2 (PI)) u2)))
50.0ms	u2	@	inf	(* (sqrt (neg (- (log (neg (+ -1 (* u1 u1)))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2)))
24.0ms	u2	@	0	(* (pow (pow (log (+ 1 u1)) 2) 1/4) (cos (* (* 2 (PI)) u2)))
19.0ms	u1	@	0	(log (neg (+ -1 (* u1 u1))))
7.0ms	u2	@	0	(* (sqrt (neg (* u1 (+ (* u1 (+ (* u1 -1/3) -1/2)) -1)))) (cos (* (* 2 (PI)) u2)))

rewrite452.0ms (3.5%)

Memory

-8.4MiB live, 389.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 826×	`-lowering-.f32`
3 826×	`-lowering-.f64`
3 492×	`/-lowering-/.f32`
3 492×	`/-lowering-/.f64`
2 504×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	170
1	197	169
2	1364	161
0	9100	131

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 761

Calls

Call 1

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

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

simplify540.0ms (4.2%)

Memory

-11.7MiB live, 710.6MiB allocated

Algorithm

1×	egg-herbie

Rules

12 044×	`accelerator-lowering-fma.f32`
12 044×	`accelerator-lowering-fma.f64`
8 442×	`-lowering-.f32`
8 442×	`-lowering-.f64`
4 512×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	884	6992
1	2758	6139
0	8447	5789

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

Calls

Call 1

Inputs
(* (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)))))))))))
(* (* (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)))))))))
(* (* (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))) (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))))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (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 -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)))))))))
(* (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)))
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 (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(log (/ -1 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))))
(* -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))
(+ (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))
(* -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)))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* -1 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(sqrt u1)
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(sqrt (log (+ 1 u1)))
(+ (sqrt (log (+ 1 u1))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log (+ 1 u1))))))
(+ (sqrt (log (+ 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (+ 1 u1))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (log (+ 1 u1))))))))
(+ (sqrt (log (+ 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (+ 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (log (+ 1 u1))))) (* 2/3 (* (pow (PI) 4) (sqrt (log (+ 1 u1))))))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(sqrt u1)
(+ (sqrt u1) (* -1/4 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* 1/6 (sqrt u1)))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 u1))))) (* 1/6 (sqrt (/ 1 u1))))))))
(* (sqrt (log (/ 1 u1))) (sqrt -1))
(+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (sqrt (log (/ 1 u1))) (sqrt -1)))
(+ (* -1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (sqrt (log (/ 1 u1))) (sqrt -1))))
(+ (* -1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 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))))) (* (pow u1 3) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (sqrt (log (/ 1 u1))) (sqrt -1)))))
(sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))
(+ (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))))
(+ (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)))
(+ (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (* 1/2 (* (/ (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (+ (log -1) (* -1 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)) (* -1/2 (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) u1)))
(pow u1 2)
(* (pow u1 2) (+ 1 (* -1 u1)))
(* (pow u1 2) (+ 1 (* u1 (- (* 11/12 u1) 1))))
(* (pow u1 2) (+ 1 (* u1 (- (* u1 (+ 11/12 (* -5/6 u1))) 1))))
(pow (log (/ 1 u1)) 2)
(+ (* -2 (/ (log (/ 1 u1)) u1)) (pow (log (/ 1 u1)) 2))
(+ (* -2 (/ (log (/ 1 u1)) u1)) (+ (/ 1 (pow u1 2)) (+ (/ (log (/ 1 u1)) (pow u1 2)) (pow (log (/ 1 u1)) 2))))
(- (+ (* -2 (/ (log (/ 1 u1)) u1)) (+ (* -2/3 (/ (log (/ 1 u1)) (pow u1 3))) (+ (/ 1 (pow u1 2)) (+ (/ (log (/ 1 u1)) (pow u1 2)) (pow (log (/ 1 u1)) 2))))) (/ 1 (pow u1 3)))
(pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)
(+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 u1)))) u1)) (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 u1)))))) u1))) u1)) (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 u1)))))) u1)))) u1))) u1)) (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))
u1
(* u1 (+ 1 (* -1/2 u1)))
(* u1 (+ 1 (* u1 (- (* 1/3 u1) 1/2))))
(* u1 (+ 1 (* u1 (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))))
(* -1 (log (/ 1 u1)))
(+ (* -1 (log (/ 1 u1))) (/ 1 u1))
(- (+ (* -1 (log (/ 1 u1))) (/ 1 u1)) (/ 1/2 (pow u1 2)))
(- (+ (* -1 (log (/ 1 u1))) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (/ 1/2 (pow u1 2)))
(+ (log -1) (* -1 (log (/ -1 u1))))
(+ (log -1) (+ (* -1 (log (/ -1 u1))) (/ 1 u1)))
(+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* 1/2 (/ 1 u1)) 1) u1))))
(+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 u1)) 1/2) u1)) 1) 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))
(- (+ (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))) (* -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))))

Outputs
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(.f32 (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32))) (neg.f32 (sqrt.f32 u1)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(fma.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))) (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))) (neg.f32 (sqrt.f32 u1))))
(+ (* (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 u1 u1) (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))) (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) #s(literal -1/6 binary32)))) (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))) (neg.f32 (sqrt.f32 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 (.f32 u1 u1) (fma.f32 u1 (fma.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/6 binary32)) (.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32)))) (.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1)) #s(literal -1/2 binary32)))) (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))) (neg.f32 (sqrt.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 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)))))))
(fma.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -1/2 binary32))))
(+ (* -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 #s(literal -1 binary32)) (log.f32 u1)))) (fma.f32 #s(literal -1/2 binary32) (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))))) (.f32 u1 u1))) (.f32 (.f32 (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 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)))))))))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) (+.f32 #s(literal 1/3 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))) #s(literal 1/4 binary32)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (.f32 u1 (.f32 u1 u1))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))))) (.f32 u1 u1))) (fma.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -1/2 binary32)))))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))) #s(literal -1 binary32)) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) 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)))))
(fma.f32 #s(literal -1/2 binary32) (.f32 (/.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))) u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (.f32 (.f32 (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32))) #s(literal -1 binary32)) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) 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)))))
(fma.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))) (.f32 #s(literal -1 binary32) (sqrt.f32 (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)))) (+.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))) (/.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) 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 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))) (.f32 #s(literal -1 binary32) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (fma.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))) (.f32 #s(literal 1/2 binary32) (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 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (.f32 (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32))) (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)))) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 1/3 binary32))) u1)))) u1)) (neg.f32 u1)))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(+ (* -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 #s(literal -2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 u2 (.f32 u2 (*.f32 (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 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (fma.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (sqrt.f32 #s(literal -1 binary32)) (.f32 (.f32 u2 (.f32 u2 (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))) (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 #s(literal -2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (sqrt.f32 #s(literal -1 binary32))) (.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (fma.f32 (.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -4/45 binary32))) (sqrt.f32 #s(literal -1 binary32)) (.f32 (.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (sqrt.f32 #s(literal -1 binary32))))) (.f32 (.f32 u2 u2) (.f32 u2 u2))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
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(cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))
(* 2 (* u2 (PI)))
(.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))
(* 2 (* u2 (PI)))
(.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))
(* 2 (* u2 (PI)))
(.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))
(* 2 (* u2 (PI)))
(.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))
(* 2 (* u2 (PI)))
(.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))
(* 2 (* u2 (PI)))
(.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))
(* 2 (* u2 (PI)))
(.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))
(* 2 (* u2 (PI)))
(.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))
(* 2 (* u2 (PI)))
(.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))
(* 2 (* u2 (PI)))
(.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))
(* 2 (* u2 (PI)))
(.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))
u1
(* u1 (+ 1 (* 1/2 u1)))
(fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)
(* 1/3 (pow u1 3))
(.f32 u1 (.f32 u1 (*.f32 u1 #s(literal 1/3 binary32))))
(* (pow u1 3) (+ 1/3 (* 1/2 (/ 1 u1))))
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(* (pow u1 3) (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2)))))
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(* (pow u1 3) (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2)))))
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(* 1/3 (pow u1 3))
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(* (pow u1 3) (+ 1/3 (* 1/2 (/ 1 u1))))
(.f32 (.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)))
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3)))
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(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(.f32 (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32))) (neg.f32 (sqrt.f32 u1)))
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(* (sqrt (pow u1 3)) (* (cos (* 2 (* u2 (PI)))) (sqrt 1/3)))
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(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* 2 (* u2 (PI)))) (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* 2 (* u2 (PI)))) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt 1/3))))))
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(* (pow u1 2) (+ (* -1/32 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* 2 (* u2 (PI)))) (pow (sqrt 1/3) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* 2 (* u2 (PI)))) (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* 2 (* u2 (PI)))) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt 1/3)))))))
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(* (sqrt (pow u1 3)) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/3))))
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(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/3))))))
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(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/3)))))))
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(* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/3)))) (* 1/32 (* (sqrt u1) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (pow (sqrt -1/3) 3))))) (pow u1 3))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/3)))))))
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(* (sqrt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))) (sqrt -1))
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(+ (* -2 (* (sqrt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))) (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))))) (* (sqrt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))) (sqrt -1)))
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(* (sqrt u1) (pow (sqrt -1) 2))
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(- (+ (log -1) (+ (* -2 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))) (* -1 (log (/ 1 u1))))
(+.f32 (log.f32 #s(literal -1 binary32)) (-.f32 (log.f32 u1) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)) u1)))
(- (+ (log -1) (+ (* -2 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (+ (* -1 (log (/ 1 u1))) (/ 1 u1)))
(+.f32 (-.f32 (log.f32 u1) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (*.f32 u1 u1))) (+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) u1)))
(- (* -2 (log (/ -1 u1))) (* -1 (log (/ -1 u1))))
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(- (* -2 (log (/ -1 u1))) (+ (* -1 (log (/ -1 u1))) (/ 1 u1)))
(neg.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) (/.f32 #s(literal 1 binary32) u1)))
(- (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))) (* -1 (log (/ -1 u1))))
(-.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)) u1))
(- (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1))) (* -1 (log (/ -1 u1))))
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 u1 u1)) #s(literal 1 binary32))) (neg.f32 u1)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))

eval162.0ms (1.2%)

Memory: 2.5MiB live, 321.2MiB allocated
Compiler: Compiled 42 058 to 4 224 computations (90% saved)

prune175.0ms (1.3%)

Memory

24.1MiB live, 456.8MiB allocated

Pruning

33 alts after pruning (29 fresh and 4 done)

	Pruned	Kept	Total
New	1 437	24	1 461
Fresh	10	5	15
Picked	2	3	5
Done	0	1	1
Total	1 449	33	1 482

Accuracy

100.0%

Counts

1 482 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	72.4%	(fma.f32 (.f32 u2 u2) (fma.f32 (sqrt.f32 u1) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (sqrt.f32 u1) (.f32 u2 (.f32 u2 (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))) (sqrt.f32 u1))
	69.8%	(fma.f32 (sqrt.f32 u1) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))))) (sqrt.f32 u1))
	76.5%	(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	74.2%	(.f32 (.f32 (sqrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.7%	(.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.6%	(.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	87.7%	(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.6%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)) (.f32 (neg.f32 u1) (fma.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))) (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	57.2%	(.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 (.f32 u1 u1)))))) (log1p.f32 (.f32 u1 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.3%	(.f32 (sqrt.f32 (.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/3 binary32)) (neg.f32 (.f32 u1 (.f32 u1 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.4%	(.f32 (sqrt.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	91.5%	(.f32 (sqrt.f32 (neg.f32 (fma.f32 (neg.f32 (.f32 u1 u1)) (/.f32 #s(literal 1 binary32) u1) (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.6%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (fma.f32 u1 u1 #s(literal -1 binary32)))) (log1p.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	86.7%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal 1/3 binary32)) #s(literal -1/2 binary32)) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.6%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (pow.f32 (sqrt.f32 (log1p.f32 u1)) #s(literal 2 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	82.6%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
	91.4%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
✓	91.6%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	77.1%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
	87.7%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
▶	99.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
✓	99.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	83.1%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
✓	57.5%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	72.4%	(.f32 (sqrt.f32 u1) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 (.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
	69.7%	(.f32 (sqrt.f32 u1) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
▶	76.4%	(.f32 (sqrt.f32 u1) (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
	76.4%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
✓	76.5%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	88.0%	(.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)))
	64.1%	(sqrt.f32 (log1p.f32 u1))
▶	65.6%	(sqrt.f32 u1)

Compiler

Compiled 1 314 to 962 computations (26.8% saved)

simplify246.0ms (1.9%)

Memory

-18.8MiB live, 381.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f32 (sqrt.f32 u1) (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
✓	cost-diff	64	(-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
✓	cost-diff	64	(+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
✓	cost-diff	4000	(-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))))
✓	cost-diff	0	(sqrt.f32 (neg.f32 (fma.f32 (neg.f32 (.f32 u1 u1)) (/.f32 #s(literal 1 binary32) u1) (.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))))))
✓	cost-diff	0	(.f32 (sqrt.f32 (neg.f32 (fma.f32 (neg.f32 (.f32 u1 u1)) (/.f32 #s(literal 1 binary32) u1) (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	cost-diff	64	(neg.f32 (fma.f32 (neg.f32 (.f32 u1 u1)) (/.f32 #s(literal 1 binary32) u1) (.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))))))
✓	cost-diff	736	(fma.f32 (neg.f32 (.f32 u1 u1)) (/.f32 #s(literal 1 binary32) u1) (.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))))
✓	cost-diff	0	(*.f32 u1 #s(literal 1/2 binary32))
✓	cost-diff	0	(fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)
✓	cost-diff	0	(sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))
✓	cost-diff	0	(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	cost-diff	0	(sqrt.f32 u1)
✓	cost-diff	0	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	cost-diff	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
✓	cost-diff	160	(*.f32 (PI.f32) (log.f32 (E.f32)))
✓	cost-diff	3200	(log.f32 (E.f32))

Rules

8 066×	`accelerator-lowering-fma.f32`
8 066×	`accelerator-lowering-fma.f64`
2 772×	`-lowering-.f32`
2 772×	`-lowering-.f64`
1 640×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	357
1	121	311
2	288	286
3	889	277
4	4301	275
5	6807	275
0	8161	255

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* (* 2 (* (PI) (log (E)))) u2)))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
(cos (* (* 2 (* (PI) (log (E)))) u2))
(* (* 2 (* (PI) (log (E)))) u2)
(* 2 (* (PI) (log (E))))
2
(* (PI) (log (E)))
(PI)
(log (E))
(E)
u2
(sqrt u1)
u1
(* (sqrt (+ (* u1 (* u1 1/2)) u1)) (cos (* (* 2 (PI)) u2)))
(sqrt (+ (* u1 (* u1 1/2)) u1))
(+ (* u1 (* u1 1/2)) u1)
u1
(* u1 1/2)
1/2
(cos (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2
(* (sqrt (neg (+ (* (neg (* u1 u1)) (/ 1 u1)) (* u1 (* u1 (+ (* u1 -1/3) -1/2)))))) (cos (* (* 2 (PI)) u2)))
(sqrt (neg (+ (* (neg (* u1 u1)) (/ 1 u1)) (* u1 (* u1 (+ (* u1 -1/3) -1/2))))))
(neg (+ (* (neg (* u1 u1)) (/ 1 u1)) (* u1 (* u1 (+ (* u1 -1/3) -1/2)))))
(+ (* (neg (* u1 u1)) (/ 1 u1)) (* u1 (* u1 (+ (* u1 -1/3) -1/2))))
(neg (* u1 u1))
(* u1 u1)
u1
(/ 1 u1)
1
(* u1 (* u1 (+ (* u1 -1/3) -1/2)))
(* u1 (+ (* u1 -1/3) -1/2))
(+ (* u1 -1/3) -1/2)
-1/3
-1/2
(cos (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2
(* (sqrt u1) (- (+ 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))) (- 1/2 (* 1/2 (cos (* 2 (* (PI) u2)))))))
(sqrt u1)
u1
(- (+ 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))) (- 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))))
(+ 1/2 (* 1/2 (cos (* 2 (* (PI) u2)))))
1/2
(* 1/2 (cos (* 2 (* (PI) u2))))
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2
(- 1/2 (* 1/2 (cos (* 2 (* (PI) u2)))))

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

localize239.0ms (1.8%)

Memory

46.8MiB live, 435.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.3%	(-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))))
✓	accuracy	99.1%	(*.f32 (PI.f32) u2)
✓	accuracy	98.2%	(PI.f32)
✓	accuracy	36.5%	(-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
✓	accuracy	99.1%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	99.0%	(*.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))
✓	accuracy	98.9%	(fma.f32 (neg.f32 (.f32 u1 u1)) (/.f32 #s(literal 1 binary32) u1) (.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))))
✓	accuracy	98.2%	(PI.f32)
✓	accuracy	99.6%	(sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))
✓	accuracy	99.5%	(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	accuracy	99.1%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	98.2%	(PI.f32)
✓	accuracy	100.0%	(sqrt.f32 u1)
✓	accuracy	99.1%	(.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)
✓	accuracy	98.2%	(PI.f32)
✓	accuracy	98.2%	(E.f32)
✓	accuracy	96.9%	(log.f32 (E.f32))

Samples

60.0ms	174×	0	valid
42.0ms	68×	1	valid
8.0ms	5×	5	exit
7.0ms	9×	2	valid

Compiler

Compiled 336 to 51 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-mult: 33.0ms (37.3% of total)

ival-cos: 9.0ms (10.2% of total)

ival-sqrt: 7.0ms (7.9% of total)

adjust: 6.0ms (6.8% of total)

ival-neg: 6.0ms (6.8% of total)

const: 5.0ms (5.7% of total)

ival-add: 5.0ms (5.7% of total)

ival-log: 4.0ms (4.5% of total)

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

ival-log1p: 3.0ms (3.4% of total)

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

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

exact: 1.0ms (1.1% of total)

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

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

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

series54.0ms (0.4%)

Memory

-32.6MiB live, 91.7MiB allocated

Counts

23 → 276

Calls

Call 1

Inputs
#<alt (log (E))>
#<alt (* (PI) (log (E)))>
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* (* 2 (* (PI) (log (E)))) u2)))>
#<alt (sqrt (neg (log (+ 1 (neg u1)))))>
#<alt (sqrt u1)>
#<alt (* (sqrt (+ (* u1 (* u1 1/2)) u1)) (cos (* (* 2 (PI)) u2)))>
#<alt (sqrt (+ (* u1 (* u1 1/2)) u1))>
#<alt (+ (* u1 (* u1 1/2)) u1)>
#<alt (* u1 1/2)>
#<alt (+ (* (neg (* u1 u1)) (/ 1 u1)) (* u1 (* u1 (+ (* u1 -1/3) -1/2))))>
#<alt (neg (+ (* (neg (* u1 u1)) (/ 1 u1)) (* u1 (* u1 (+ (* u1 -1/3) -1/2)))))>
#<alt (* (sqrt (neg (+ (* (neg (* u1 u1)) (/ 1 u1)) (* u1 (* u1 (+ (* u1 -1/3) -1/2)))))) (cos (* (* 2 (PI)) u2)))>
#<alt (sqrt (neg (+ (* (neg (* u1 u1)) (/ 1 u1)) (* u1 (* u1 (+ (* u1 -1/3) -1/2))))))>
#<alt (- (+ 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))) (- 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (* (PI) u2)))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (* (PI) u2)))))>
#<alt (* (sqrt u1) (- (+ 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))) (- 1/2 (* 1/2 (cos (* 2 (* (PI) u2)))))))>
#<alt (E)>
#<alt (PI)>
#<alt (* (* 2 (* (PI) (log (E)))) u2)>
#<alt (* (* 2 (PI)) u2)>
#<alt (* u1 (+ (* u1 -1/3) -1/2))>
#<alt (* (PI) u2)>

Outputs
#<alt (* (sqrt u1) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (* (PI) (log (E)))))))) (* (sqrt u1) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))))>
#<alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (* (PI) (log (E)))))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (* (PI) (log (E)))))))))))>
#<alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (* (PI) (log (E)))))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (* (PI) (log (E)))))))))))))>
#<alt (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (* (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) (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (* (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) (log (E)))))) (* (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) (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))>
#<alt (+ (* -1/2 (* (/ (cos (* 2 (* u2 (* (PI) (log (E)))))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (- 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) (log (E)))))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (* (sqrt (log (- 1 u1))) (sqrt -1))>
#<alt (+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (* (pow (log (E)) 2) (sqrt -1)))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))>
#<alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (* (pow (log (E)) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (* (pow (log (E)) 4) (sqrt -1)))) (sqrt (log (- 1 u1))))))))>
#<alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (* (pow (log (E)) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (* (pow (log (E)) 6) (sqrt -1)))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (* (pow (log (E)) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))))>
#<alt (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
#<alt (+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))>
#<alt (+ (* (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))))))))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -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))))))))>
#<alt (+ (* -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)))))))))>
#<alt (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))>
#<alt (+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt (+ (* -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)))>
#<alt (+ (* -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)))>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -1/32 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))>
#<alt (+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* (pow u1 2) (+ (* -1/32 (* (sqrt (/ 1 (pow u1 3))) (cos (* 2 (* u2 (PI)))))) (* 1/128 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))>
#<alt (* u1 (* (cos (* 2 (* u2 (PI)))) (sqrt 1/2)))>
#<alt (* u1 (+ (* 1/2 (/ (cos (* 2 (* u2 (PI)))) (* u1 (sqrt 1/2)))) (* (cos (* 2 (* u2 (PI)))) (sqrt 1/2))))>
#<alt (* u1 (+ (* -1/8 (/ (cos (* 2 (* u2 (PI)))) (* (pow u1 2) (pow (sqrt 1/2) 3)))) (+ (* 1/2 (/ (cos (* 2 (* u2 (PI)))) (* u1 (sqrt 1/2)))) (* (cos (* 2 (* u2 (PI)))) (sqrt 1/2)))))>
#<alt (* u1 (+ (* -1/8 (/ (cos (* 2 (* u2 (PI)))) (* (pow u1 2) (pow (sqrt 1/2) 3)))) (+ (* 1/16 (/ (cos (* 2 (* u2 (PI)))) (* (pow u1 3) (pow (sqrt 1/2) 5)))) (+ (* 1/2 (/ (cos (* 2 (* u2 (PI)))) (* u1 (sqrt 1/2)))) (* (cos (* 2 (* u2 (PI)))) (sqrt 1/2))))))>
#<alt (* -1 (* u1 (* (cos (* 2 (* u2 (PI)))) (sqrt 1/2))))>
#<alt (* -1 (* u1 (+ (* 1/2 (/ (cos (* 2 (* u2 (PI)))) (* u1 (sqrt 1/2)))) (* (cos (* 2 (* u2 (PI)))) (sqrt 1/2)))))>
#<alt (* -1 (* u1 (+ (* -1 (/ (+ (* -1/2 (/ (cos (* 2 (* u2 (PI)))) (sqrt 1/2))) (* 1/8 (/ (cos (* 2 (* u2 (PI)))) (* u1 (pow (sqrt 1/2) 3))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt 1/2)))))>
#<alt (* -1 (* u1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (cos (* 2 (* u2 (PI)))) (pow (sqrt 1/2) 3))) (* 1/16 (/ (cos (* 2 (* u2 (PI)))) (* u1 (pow (sqrt 1/2) 5))))) u1)) (* -1/2 (/ (cos (* 2 (* u2 (PI)))) (sqrt 1/2)))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt 1/2)))))>
#<alt (sqrt (+ u1 (* 1/2 (pow u1 2))))>
#<alt (+ (sqrt (+ u1 (* 1/2 (pow u1 2)))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (+ u1 (* 1/2 (pow u1 2)))))))>
#<alt (+ (sqrt (+ u1 (* 1/2 (pow u1 2)))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (+ u1 (* 1/2 (pow u1 2)))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (+ u1 (* 1/2 (pow u1 2)))))))))>
#<alt (+ (sqrt (+ u1 (* 1/2 (pow u1 2)))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (+ u1 (* 1/2 (pow u1 2)))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (+ u1 (* 1/2 (pow u1 2)))))) (* 2/3 (* (pow (PI) 4) (sqrt (+ u1 (* 1/2 (pow u1 2)))))))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (+ u1 (* 1/2 (pow u1 2)))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (+ u1 (* 1/2 (pow u1 2)))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (+ u1 (* 1/2 (pow u1 2)))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (+ u1 (* 1/2 (pow u1 2)))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (+ u1 (* 1/2 (pow u1 2)))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (+ u1 (* 1/2 (pow u1 2)))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (+ u1 (* 1/2 (pow u1 2)))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (+ u1 (* 1/2 (pow u1 2)))))>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* -1/32 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/32 (sqrt (/ 1 (pow u1 3)))) (* 1/128 (sqrt (/ 1 u1))))))))>
#<alt (* u1 (sqrt 1/2))>
#<alt (* u1 (+ (sqrt 1/2) (* 1/2 (/ 1 (* u1 (sqrt 1/2))))))>
#<alt (* u1 (- (+ (sqrt 1/2) (/ 1/2 (* u1 (sqrt 1/2)))) (/ 1/8 (* (pow u1 2) (pow (sqrt 1/2) 3)))))>
#<alt (* u1 (- (+ (sqrt 1/2) (+ (/ 1/2 (* u1 (sqrt 1/2))) (* 1/16 (/ 1 (* (pow u1 3) (pow (sqrt 1/2) 5)))))) (* 1/8 (/ 1 (* (pow u1 2) (pow (sqrt 1/2) 3))))))>
#<alt (* -1 (* u1 (sqrt 1/2)))>
#<alt (* -1 (* u1 (+ (sqrt 1/2) (* 1/2 (/ 1 (* u1 (sqrt 1/2)))))))>
#<alt (* -1 (* u1 (+ (sqrt 1/2) (* -1 (/ (- (* 1/8 (/ 1 (* u1 (pow (sqrt 1/2) 3)))) (* 1/2 (/ 1 (sqrt 1/2)))) u1)))))>
#<alt (* -1 (* u1 (+ (sqrt 1/2) (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 (* u1 (pow (sqrt 1/2) 5)))) (* 1/8 (/ 1 (pow (sqrt 1/2) 3)))) u1)) (* 1/2 (/ 1 (sqrt 1/2)))) u1)))))>
#<alt u1>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* 1/2 (pow u1 2))>
#<alt (* (pow u1 2) (+ 1/2 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1/2 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1/2 (/ 1 u1)))>
#<alt (* 1/2 (pow u1 2))>
#<alt (* (pow u1 2) (+ 1/2 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1/2 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1/2 (/ 1 u1)))>
#<alt (* 1/2 u1)>
#<alt (* 1/2 u1)>
#<alt (* 1/2 u1)>
#<alt (* 1/2 u1)>
#<alt (* 1/2 u1)>
#<alt (* 1/2 u1)>
#<alt (* 1/2 u1)>
#<alt (* 1/2 u1)>
#<alt (* 1/2 u1)>
#<alt (* 1/2 u1)>
#<alt (* 1/2 u1)>
#<alt (* 1/2 u1)>
#<alt (* -1 u1)>
#<alt (* u1 (- (* -1/2 u1) 1))>
#<alt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))>
#<alt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))>
#<alt (* -1/3 (pow u1 3))>
#<alt (* -1 (* (pow u1 3) (+ 1/3 (* 1/2 (/ 1 u1)))))>
#<alt (* (pow u1 3) (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3))>
#<alt (* (pow u1 3) (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3))>
#<alt (* -1/3 (pow u1 3))>
#<alt (* -1 (* (pow u1 3) (+ 1/3 (* 1/2 (/ 1 u1)))))>
#<alt (* -1 (* (pow u1 3) (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2))))))>
#<alt (* -1 (* (pow u1 3) (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2))))))>
#<alt u1>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))>
#<alt (* 1/3 (pow u1 3))>
#<alt (* (pow u1 3) (+ 1/3 (* 1/2 (/ 1 u1))))>
#<alt (* (pow u1 3) (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2)))))>
#<alt (* (pow u1 3) (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2)))))>
#<alt (* 1/3 (pow u1 3))>
#<alt (* (pow u1 3) (+ 1/3 (* 1/2 (/ 1 u1))))>
#<alt (* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3)))>
#<alt (* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3)))>
#<alt (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* (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)))))))))>
#<alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/32 (* (sqrt (/ 1 u1)) (/ (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))))))))>
#<alt (* (sqrt (pow u1 3)) (* (cos (* 2 (* u2 (PI)))) (sqrt 1/3)))>
#<alt (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* 2 (* u2 (PI)))) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt 1/3)))))>
#<alt (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* 2 (* u2 (PI)))) (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* 2 (* u2 (PI)))) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt 1/3))))))>
#<alt (* (pow u1 2) (+ (* -1/32 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* 2 (* u2 (PI)))) (pow (sqrt 1/3) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* 2 (* u2 (PI)))) (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* 2 (* u2 (PI)))) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt 1/3)))))))>
#<alt (* (sqrt (pow u1 3)) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/3))))>
#<alt (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/3))))))>
#<alt (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/3)))))))>
#<alt (* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/3)))) (* 1/32 (* (sqrt u1) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (pow (sqrt -1/3) 3))))) (pow u1 3))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/3)))))))>
#<alt (* (sqrt -1) (sqrt (+ (* -1 u1) (* (pow u1 2) (- (* -1/3 u1) 1/2)))))>
#<alt (+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (+ (* -1 u1) (* (pow u1 2) (- (* -1/3 u1) 1/2)))))) (* (sqrt -1) (sqrt (+ (* -1 u1) (* (pow u1 2) (- (* -1/3 u1) 1/2))))))>
#<alt (+ (* (sqrt -1) (sqrt (+ (* -1 u1) (* (pow u1 2) (- (* -1/3 u1) 1/2))))) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (+ (* -1 u1) (* (pow u1 2) (- (* -1/3 u1) 1/2)))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (+ (* -1 u1) (* (pow u1 2) (- (* -1/3 u1) 1/2)))))))))>
#<alt (+ (* (sqrt -1) (sqrt (+ (* -1 u1) (* (pow u1 2) (- (* -1/3 u1) 1/2))))) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (+ (* -1 u1) (* (pow u1 2) (- (* -1/3 u1) 1/2)))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (+ (* -1 u1) (* (pow u1 2) (- (* -1/3 u1) 1/2)))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (+ (* -1 u1) (* (pow u1 2) (- (* -1/3 u1) 1/2)))))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (* -1 u1) (* (pow u1 2) (- (* -1/3 u1) 1/2)))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (* -1 u1) (* (pow u1 2) (- (* -1/3 u1) 1/2)))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (* -1 u1) (* (pow u1 2) (- (* -1/3 u1) 1/2)))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (* -1 u1) (* (pow u1 2) (- (* -1/3 u1) 1/2)))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (* -1 u1) (* (pow u1 2) (- (* -1/3 u1) 1/2)))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (* -1 u1) (* (pow u1 2) (- (* -1/3 u1) 1/2)))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (* -1 u1) (* (pow u1 2) (- (* -1/3 u1) 1/2)))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (* -1 u1) (* (pow u1 2) (- (* -1/3 u1) 1/2)))))>
#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
#<alt (+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))>
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/6 (sqrt (/ 1 u1))) (* -1/32 (* (sqrt (/ 1 u1)) (/ 1 (pow (sqrt -1) 2)))))))))>
#<alt (* (sqrt (pow u1 3)) (sqrt 1/3))>
#<alt (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (sqrt 1/3))))>
#<alt (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (sqrt 1/3)))))>
#<alt (* (pow u1 2) (+ (* -1/32 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt 1/3) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (sqrt 1/3))))))>
#<alt (* (sqrt (pow u1 3)) (* (sqrt -1) (sqrt -1/3)))>
#<alt (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (sqrt -1) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (sqrt -1) (sqrt -1/3)))))>
#<alt (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (sqrt -1) (sqrt -1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (sqrt -1) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (sqrt -1) (sqrt -1/3))))))>
#<alt (* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (/ (sqrt -1) (sqrt -1/3)))) (* 1/32 (* (sqrt u1) (/ (sqrt -1) (pow (sqrt -1/3) 3))))) (pow u1 3))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (sqrt -1) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (sqrt -1) (sqrt -1/3))))))>
#<alt 1>
#<alt (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt 1>
#<alt (+ 1 (* -1 (* (pow u2 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* 1/3 (* (pow u2 2) (pow (PI) 4))))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (+ (* -2/45 (* (pow u2 2) (pow (PI) 6))) (* 1/3 (pow (PI) 4)))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (* (pow u2 2) (pow (PI) 2))>
#<alt (* (pow u2 2) (- (* -1/3 (* (pow u2 2) (pow (PI) 4))) (* -1 (pow (PI) 2))))>
#<alt (* (pow u2 2) (- (* (pow u2 2) (- (* 2/45 (* (pow u2 2) (pow (PI) 6))) (* 1/3 (pow (PI) 4)))) (* -1 (pow (PI) 2))))>
#<alt (* (pow u2 2) (- (* (pow u2 2) (- (* (pow u2 2) (- (* -1/315 (* (pow u2 2) (pow (PI) 8))) (* -2/45 (pow (PI) 6)))) (* 1/3 (pow (PI) 4)))) (* -1 (pow (PI) 2))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (* -1 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* -2 (* (sqrt u1) (* (pow u2 2) (pow (PI) 2)))))>
#<alt (+ (sqrt u1) (* (pow u2 2) (+ (* -2 (* (sqrt u1) (pow (PI) 2))) (* 2/3 (* (sqrt u1) (* (pow u2 2) (pow (PI) 4)))))))>
#<alt (+ (sqrt u1) (* (pow u2 2) (+ (* -2 (* (sqrt u1) (pow (PI) 2))) (* (pow u2 2) (+ (* -4/45 (* (sqrt u1) (* (pow u2 2) (pow (PI) 6)))) (* 2/3 (* (sqrt u1) (pow (PI) 4))))))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* -1/2 u1)>
#<alt (* u1 (- (* -1/3 u1) 1/2))>
#<alt (* u1 (- (* -1/3 u1) 1/2))>
#<alt (* u1 (- (* -1/3 u1) 1/2))>
#<alt (* -1/3 (pow u1 2))>
#<alt (* -1 (* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1)))))>
#<alt (* -1 (* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1)))))>
#<alt (* -1 (* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1)))))>
#<alt (* -1/3 (pow u1 2))>
#<alt (* -1 (* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1)))))>
#<alt (* -1 (* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1)))))>
#<alt (* -1 (* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1)))))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>

Calls

69 calls:

Time	Variable		Point	Expression
20.0ms	u2	@	0	(* (* 2 (* (PI) (log (E)))) u2)
8.0ms	u1	@	0	(* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* (* 2 (* (PI) (log (E)))) u2)))
3.0ms	u2	@	inf	(* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* (* 2 (* (PI) (log (E)))) u2)))
1.0ms	u2	@	0	(* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* (* 2 (* (PI) (log (E)))) u2)))
1.0ms	u1	@	inf	(* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* (* 2 (* (PI) (log (E)))) u2)))

rewrite357.0ms (2.8%)

Memory

32.2MiB live, 816.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 542×	`-lowering-.f32`
4 542×	`-lowering-.f64`
3 820×	`accelerator-lowering-fma.f32`
3 820×	`accelerator-lowering-fma.f64`
3 514×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	219
1	246	166
2	1785	158
0	8319	148

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 820

Calls

Call 1

Inputs
(log (E))
(* (PI) (log (E)))
(* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* (* 2 (* (PI) (log (E)))) u2)))
(sqrt (neg (log (+ 1 (neg u1)))))
(sqrt u1)
(* (sqrt (+ (* u1 (* u1 1/2)) u1)) (cos (* (* 2 (PI)) u2)))
(sqrt (+ (* u1 (* u1 1/2)) u1))
(+ (* u1 (* u1 1/2)) u1)
(* u1 1/2)
(+ (* (neg (* u1 u1)) (/ 1 u1)) (* u1 (* u1 (+ (* u1 -1/3) -1/2))))
(neg (+ (* (neg (* u1 u1)) (/ 1 u1)) (* u1 (* u1 (+ (* u1 -1/3) -1/2)))))
(* (sqrt (neg (+ (* (neg (* u1 u1)) (/ 1 u1)) (* u1 (* u1 (+ (* u1 -1/3) -1/2)))))) (cos (* (* 2 (PI)) u2)))
(sqrt (neg (+ (* (neg (* u1 u1)) (/ 1 u1)) (* u1 (* u1 (+ (* u1 -1/3) -1/2))))))
(- (+ 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))) (- 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))))
(+ 1/2 (* 1/2 (cos (* 2 (* (PI) u2)))))
(- 1/2 (* 1/2 (cos (* 2 (* (PI) u2)))))
(* (sqrt u1) (- (+ 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))) (- 1/2 (* 1/2 (cos (* 2 (* (PI) u2)))))))
(E)
(PI)
(* (* 2 (* (PI) (log (E)))) u2)
(* (* 2 (PI)) u2)
(* u1 (+ (* u1 -1/3) -1/2))
(* (PI) u2)

Outputs
#s(literal 1 binary32)
(PI.f32)
(exp.f32 (log.f32 (PI.f32)))
(exp.f32 (.f32 (.f32 #s(literal 1/3 binary32) (log.f32 (PI.f32))) #s(literal 3 binary32)))
(exp.f32 (.f32 (log.f32 (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1/3 binary32)))
(exp.f32 (.f32 (.f32 #s(literal 1/2 binary32) (log.f32 (PI.f32))) #s(literal 2 binary32)))
(fabs.f32 (PI.f32))
(pow.f32 (E.f32) (log.f32 (PI.f32)))
(pow.f32 (PI.f32) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))
(pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/2 binary32))
(pow.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))
(sqrt.f32 (*.f32 (PI.f32) (PI.f32)))
(cbrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))
(*.f32 (PI.f32) #s(literal 1 binary32))
(*.f32 (PI.f32) (pow.f32 #s(literal 1 binary32) #s(literal 1/3 binary32)))
(*.f32 #s(literal 1 binary32) (PI.f32))
(*.f32 (cbrt.f32 (PI.f32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.f32 (cbrt.f32 (PI.f32)) (log.f32 (exp.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)))))
(*.f32 (cbrt.f32 (PI.f32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (cbrt.f32 (PI.f32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) #s(literal 2 binary32)))
(*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) (log.f32 (exp.f32 (sqrt.f32 (PI.f32)))))
(.f32 (sqrt.f32 (sqrt.f32 (PI.f32))) (sqrt.f32 (.f32 (PI.f32) (sqrt.f32 (PI.f32)))))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) #s(literal 3 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)))
(.f32 (pow.f32 (.f32 (PI.f32) (sqrt.f32 (PI.f32))) #s(literal 1/3 binary32)) (pow.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32))) #s(literal 1/3 binary32)))
(.f32 (pow.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 1/3 binary32)) (cbrt.f32 (cbrt.f32 (PI.f32))))
(.f32 (pow.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) #s(literal 1/3 binary32)) (cbrt.f32 (sqrt.f32 (PI.f32))))
(.f32 (exp.f32 (.f32 #s(literal 2 binary32) (.f32 #s(literal 1/3 binary32) (log.f32 (PI.f32))))) (exp.f32 (.f32 #s(literal 1/3 binary32) (log.f32 (PI.f32)))))
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(.f32 (exp.f32 (.f32 #s(literal 1/2 binary32) (log.f32 (PI.f32)))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (PI.f32)))))
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(.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))
(.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))
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(+.f32 (.f32 (.f32 u1 u1) #s(literal -1/3 binary32)) (*.f32 u1 #s(literal -1/2 binary32)))
(fma.f32 u1 (.f32 u1 #s(literal -1/3 binary32)) (.f32 u1 #s(literal -1/2 binary32)))
(fma.f32 u1 #s(literal -1/2 binary32) (.f32 (.f32 u1 u1) #s(literal -1/3 binary32)))
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(-.f32 (/.f32 (.f32 (.f32 (.f32 u1 u1) #s(literal -1/3 binary32)) (.f32 (.f32 u1 u1) #s(literal -1/3 binary32))) (-.f32 (.f32 (.f32 u1 u1) #s(literal -1/3 binary32)) (.f32 u1 #s(literal -1/2 binary32)))) (/.f32 (.f32 (.f32 u1 #s(literal -1/2 binary32)) (.f32 u1 #s(literal -1/2 binary32))) (-.f32 (.f32 (.f32 u1 u1) #s(literal -1/3 binary32)) (.f32 u1 #s(literal -1/2 binary32)))))
(/.f32 (fma.f32 (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal -1/27 binary32)) (.f32 u1 (.f32 u1 u1)) (.f32 #s(literal -1/8 binary32) (.f32 u1 (.f32 u1 u1)))) (fma.f32 (.f32 (.f32 u1 u1) #s(literal -1/3 binary32)) (.f32 (.f32 u1 u1) #s(literal -1/3 binary32)) (-.f32 (.f32 (.f32 u1 #s(literal -1/2 binary32)) (.f32 u1 #s(literal -1/2 binary32))) (.f32 (.f32 (.f32 u1 u1) #s(literal -1/3 binary32)) (*.f32 u1 #s(literal -1/2 binary32))))))
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(.f32 (.f32 u2 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))

simplify411.0ms (3.2%)

Memory

22.6MiB live, 767.3MiB allocated

Algorithm

1×	egg-herbie

Rules

11 020×	`accelerator-lowering-fma.f32`
11 020×	`accelerator-lowering-fma.f64`
8 642×	`-lowering-.f32`
8 642×	`-lowering-.f64`
2 808×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	642	5111
1	2009	4422
2	7058	4403
0	8020	4192

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

Inputs
(* (sqrt u1) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (* (PI) (log (E)))))))) (* (sqrt u1) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (* (PI) (log (E)))))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (* (PI) (log (E)))))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (* (PI) (log (E)))))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (* (PI) (log (E)))))))))))))
(* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (* (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) (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (* (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) (log (E)))))) (* (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) (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
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(* (pow u2 2) (- (* -1/3 (* (pow u2 2) (pow (PI) 4))) (* -1 (pow (PI) 2))))
(* (pow u2 2) (- (* (pow u2 2) (- (* 2/45 (* (pow u2 2) (pow (PI) 6))) (* 1/3 (pow (PI) 4)))) (* -1 (pow (PI) 2))))
(* (pow u2 2) (- (* (pow u2 2) (- (* (pow u2 2) (- (* -1/315 (* (pow u2 2) (pow (PI) 8))) (* -2/45 (pow (PI) 6)))) (* 1/3 (pow (PI) 4)))) (* -1 (pow (PI) 2))))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* -1 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(sqrt u1)
(+ (sqrt u1) (* -2 (* (sqrt u1) (* (pow u2 2) (pow (PI) 2)))))
(+ (sqrt u1) (* (pow u2 2) (+ (* -2 (* (sqrt u1) (pow (PI) 2))) (* 2/3 (* (sqrt u1) (* (pow u2 2) (pow (PI) 4)))))))
(+ (sqrt u1) (* (pow u2 2) (+ (* -2 (* (sqrt u1) (pow (PI) 2))) (* (pow u2 2) (+ (* -4/45 (* (sqrt u1) (* (pow u2 2) (pow (PI) 6)))) (* 2/3 (* (sqrt u1) (pow (PI) 4))))))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* -1/2 u1)
(* u1 (- (* -1/3 u1) 1/2))
(* u1 (- (* -1/3 u1) 1/2))
(* u1 (- (* -1/3 u1) 1/2))
(* -1/3 (pow u1 2))
(* -1 (* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1)))))
(* -1 (* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1)))))
(* -1 (* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1)))))
(* -1/3 (pow u1 2))
(* -1 (* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1)))))
(* -1 (* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1)))))
(* -1 (* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1)))))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))

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

eval400.0ms (3.1%)

Memory: -113.5MiB live, 315.4MiB allocated
Compiler: Compiled 47 744 to 4 664 computations (90.2% saved)

prune456.0ms (3.5%)

Memory

-17.0MiB live, 424.2MiB allocated

Pruning

39 alts after pruning (32 fresh and 7 done)

	Pruned	Kept	Total
New	1 303	17	1 320
Fresh	9	15	24
Picked	2	3	5
Done	0	4	4
Total	1 314	39	1 353

Accuracy

100.0%

Counts

1 353 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	69.8%	(fma.f32 (sqrt.f32 u1) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2))) (sqrt.f32 u1))
	65.5%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
	79.4%	(.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)))
▶	88.0%	(.f32 (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	98.0%	(.f32 (pow.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
	87.4%	(.f32 (/.f32 (sqrt.f32 (-.f32 (.f32 u1 u1) (.f32 #s(literal 1/4 binary32) (.f32 (.f32 u1 u1) (.f32 u1 u1))))) (sqrt.f32 (-.f32 u1 (.f32 #s(literal 1/2 binary32) (.f32 u1 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	87.3%	(.f32 (.f32 (sqrt.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	74.2%	(.f32 (.f32 (sqrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.7%	(.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.6%	(.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	87.7%	(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	57.2%	(.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 (.f32 u1 u1)))))) (log1p.f32 (.f32 u1 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	87.7%	(.f32 (sqrt.f32 (.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.3%	(.f32 (sqrt.f32 (.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) u1)) (neg.f32 (.f32 u1 (.f32 u1 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.5%	(.f32 (sqrt.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	87.6%	(.f32 (sqrt.f32 (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.6%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (fma.f32 u1 u1 #s(literal -1 binary32)))) (log1p.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	86.7%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal 1/3 binary32)) #s(literal -1/2 binary32)) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.6%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (pow.f32 (sqrt.f32 (log1p.f32 u1)) #s(literal 2 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	82.6%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
	91.4%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
✓	91.6%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	77.1%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
	89.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
✓	99.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
✓	99.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	83.1%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
✓	57.5%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	69.7%	(.f32 (sqrt.f32 u1) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)))
	72.4%	(.f32 (sqrt.f32 u1) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 (.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32)))
	76.5%	(.f32 (sqrt.f32 u1) (fma.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) #s(literal 1/2 binary32) (-.f32 #s(literal 1/2 binary32) (fma.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)))))
	69.7%	(.f32 (sqrt.f32 u1) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
	30.9%	(.f32 (sqrt.f32 u1) (/.f32 (fma.f32 (-.f32 #s(literal 1/4 binary32) (.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))))) (fma.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) (fma.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) #s(literal 1/2 binary32)) #s(literal 1/4 binary32)) (.f32 (fma.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) (neg.f32 (+.f32 #s(literal 1/8 binary32) (pow.f32 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) #s(literal -1/2 binary32)) #s(literal 3 binary32)))))) (.f32 (fma.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) (fma.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) (fma.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))) #s(literal 1/2 binary32)) #s(literal 1/4 binary32)))))
	76.4%	(.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))))
	76.4%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
✓	76.5%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	74.1%	(sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))
▶	64.1%	(sqrt.f32 (log1p.f32 u1))
✓	65.6%	(sqrt.f32 u1)

Compiler

Compiled 1 570 to 1 095 computations (30.3% saved)

simplify445.0ms (3.4%)

Memory

5.0MiB live, 483.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal 1/3 binary32)) #s(literal -1/2 binary32)) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	cost-diff	32	(log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
✓	cost-diff	64	(+.f32 #s(literal -1 binary32) (*.f32 u1 u1))
✓	cost-diff	64	(-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal 1/3 binary32)) #s(literal -1/2 binary32)) u1))
✓	cost-diff	0	(.f32 u1 (.f32 u1 u1))
✓	cost-diff	0	(sqrt.f32 (.f32 u1 (.f32 u1 u1)))
✓	cost-diff	0	(fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))
✓	cost-diff	0	(.f32 (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	cost-diff	0	(log1p.f32 u1)
✓	cost-diff	0	(sqrt.f32 (log1p.f32 u1))
✓	cost-diff	0	(*.f32 u1 #s(literal 1/2 binary32))
✓	cost-diff	0	(fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)
✓	cost-diff	0	(sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))
✓	cost-diff	0	(.f32 (pow.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
✓	cost-diff	160	(*.f32 (PI.f32) (log.f32 (E.f32)))
✓	cost-diff	3200	(log.f32 (E.f32))
✓	cost-diff	6144	(pow.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32))

Rules

12 592×	`accelerator-lowering-fma.f32`
12 592×	`accelerator-lowering-fma.f64`
2 048×	`+-lowering-+.f64`
2 048×	`+-lowering-+.f32`
1 930×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	355
1	121	317
2	280	312
3	678	312
4	2202	312
5	5434	312
6	6535	312
7	6926	312
8	7033	312
9	7074	312
10	7090	312
11	7091	312
12	7115	312
13	7167	312
14	7173	312
15	7175	312
16	7177	312
17	7177	312
18	7177	312
0	8006	274

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (pow (pow (neg (log (+ 1 (neg u1)))) 1/4) 2) (cos (* (* 2 (* (PI) (log (E)))) u2)))
(pow (pow (neg (log (+ 1 (neg u1)))) 1/4) 2)
(pow (neg (log (+ 1 (neg u1)))) 1/4)
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
1/4
2
(cos (* (* 2 (* (PI) (log (E)))) u2))
(* (* 2 (* (PI) (log (E)))) u2)
(* 2 (* (PI) (log (E))))
(* (PI) (log (E)))
(PI)
(log (E))
(E)
u2
(sqrt (+ (* u1 (* u1 1/2)) u1))
(+ (* u1 (* u1 1/2)) u1)
u1
(* u1 1/2)
1/2
(sqrt (log (+ 1 u1)))
(log (+ 1 u1))
u1
(* (+ (* (sqrt (* u1 (* u1 u1))) 1/4) (sqrt u1)) (cos (* (* 2 (PI)) u2)))
(+ (* (sqrt (* u1 (* u1 u1))) 1/4) (sqrt u1))
(sqrt (* u1 (* u1 u1)))
(* u1 (* u1 u1))
u1
(* u1 u1)
1/4
(sqrt u1)
(cos (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2
(* (sqrt (neg (- (log (neg (+ -1 (* u1 u1)))) (+ (* (* u1 u1) (+ (* u1 (+ (* u1 -1/4) 1/3)) -1/2)) u1)))) (cos (* (* 2 (PI)) u2)))
(sqrt (neg (- (log (neg (+ -1 (* u1 u1)))) (+ (* (* u1 u1) (+ (* u1 (+ (* u1 -1/4) 1/3)) -1/2)) u1))))
(neg (- (log (neg (+ -1 (* u1 u1)))) (+ (* (* u1 u1) (+ (* u1 (+ (* u1 -1/4) 1/3)) -1/2)) u1)))
(- (log (neg (+ -1 (* u1 u1)))) (+ (* (* u1 u1) (+ (* u1 (+ (* u1 -1/4) 1/3)) -1/2)) u1))
(log (neg (+ -1 (* u1 u1))))
(neg (+ -1 (* u1 u1)))
(+ -1 (* u1 u1))
-1
(* u1 u1)
u1
(+ (* (* u1 u1) (+ (* u1 (+ (* u1 -1/4) 1/3)) -1/2)) u1)
(+ (* u1 (+ (* u1 -1/4) 1/3)) -1/2)
(+ (* u1 -1/4) 1/3)
-1/4
1/3
-1/2
(cos (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2

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

localize224.0ms (1.7%)

Memory

1.4MiB live, 267.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.1%	(-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal 1/3 binary32)) #s(literal -1/2 binary32)) u1))
✓	accuracy	99.1%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	99.0%	(fma.f32 u1 #s(literal -1/4 binary32) #s(literal 1/3 binary32))
✓	accuracy	33.3%	(log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
✓	accuracy	99.6%	(.f32 (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	accuracy	99.3%	(fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))
✓	accuracy	99.3%	(.f32 u1 (.f32 u1 u1))
✓	accuracy	99.1%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	100.0%	(log1p.f32 u1)
✓	accuracy	99.6%	(sqrt.f32 (log1p.f32 u1))
✓	accuracy	100.0%	(fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)
✓	accuracy	100.0%	(*.f32 u1 #s(literal 1/2 binary32))
✓	accuracy	99.6%	(sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))
✓	accuracy	99.6%	(.f32 (pow.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
✓	accuracy	99.1%	(.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)
✓	accuracy	98.3%	(pow.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32))
✓	accuracy	96.9%	(log.f32 (E.f32))

Samples

109.0ms	211×	0	valid
44.0ms	40×	1	valid
5.0ms	5×	2	valid

Compiler

Compiled 322 to 54 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 133.0ms

ival-mult: 34.0ms (25.5% of total)

ival-neg: 28.0ms (21% of total)

ival-log: 22.0ms (16.5% of total)

ival-sqrt: 8.0ms (6% of total)

ival-add: 8.0ms (6% of total)

ival-pow: 6.0ms (4.5% of total)

ival-cos: 5.0ms (3.8% of total)

const: 5.0ms (3.8% of total)

ival-log1p: 5.0ms (3.8% of total)

adjust: 4.0ms (3% of total)

ival-pow2: 3.0ms (2.3% of total)

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

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

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

exact: 1.0ms (0.8% of total)

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

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

series26.0ms (0.2%)

Memory

-29.0MiB live, 41.0MiB allocated

Counts

20 → 252

Calls

Call 1

Inputs
#<alt (pow (pow (neg (log (+ 1 (neg u1)))) 1/4) 2)>
#<alt (log (E))>
#<alt (* (PI) (log (E)))>
#<alt (* (pow (pow (neg (log (+ 1 (neg u1)))) 1/4) 2) (cos (* (* 2 (* (PI) (log (E)))) u2)))>
#<alt (sqrt (+ (* u1 (* u1 1/2)) u1))>
#<alt (+ (* u1 (* u1 1/2)) u1)>
#<alt (* u1 1/2)>
#<alt (sqrt (log (+ 1 u1)))>
#<alt (log (+ 1 u1))>
#<alt (* (+ (* (sqrt (* u1 (* u1 u1))) 1/4) (sqrt u1)) (cos (* (* 2 (PI)) u2)))>
#<alt (+ (* (sqrt (* u1 (* u1 u1))) 1/4) (sqrt u1))>
#<alt (sqrt (* u1 (* u1 u1)))>
#<alt (* u1 (* u1 u1))>
#<alt (- (log (neg (+ -1 (* u1 u1)))) (+ (* (* u1 u1) (+ (* u1 (+ (* u1 -1/4) 1/3)) -1/2)) u1))>
#<alt (+ -1 (* u1 u1))>
#<alt (log (neg (+ -1 (* u1 u1))))>
#<alt (* (sqrt (neg (- (log (neg (+ -1 (* u1 u1)))) (+ (* (* u1 u1) (+ (* u1 (+ (* u1 -1/4) 1/3)) -1/2)) u1)))) (cos (* (* 2 (PI)) u2)))>
#<alt (* (* 2 (* (PI) (log (E)))) u2)>
#<alt (* (* 2 (PI)) u2)>
#<alt (+ (* u1 -1/4) 1/3)>

Outputs
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))>
#<alt (+ (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))))))))))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (* (pow (sqrt -1) 2) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* 1/2 (* (/ (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (* (pow (sqrt -1) 2) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (pow (sqrt -1) 2) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (pow u1 3) (sqrt -1))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (* (pow (sqrt -1) 2) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (sqrt (log (/ -1 u1)))>
#<alt (+ (sqrt (log (/ -1 u1))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))))>
#<alt (+ (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)))>
#<alt (+ (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)))>
#<alt (* (sqrt u1) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (* (PI) (log (E)))))))) (* (sqrt u1) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))))>
#<alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (* (PI) (log (E)))))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (* (PI) (log (E)))))))))))>
#<alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (* (PI) (log (E)))))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (* (PI) (log (E)))))))))))))>
#<alt (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (* (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) (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (* (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) (log (E)))))) (* (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) (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))>
#<alt (+ (* -1/2 (* (/ (cos (* 2 (* u2 (* (PI) (log (E)))))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (- 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) (log (E)))))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (* (sqrt (log (- 1 u1))) (sqrt -1))>
#<alt (+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (* (pow (log (E)) 2) (sqrt -1)))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))>
#<alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (* (pow (log (E)) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (* (pow (log (E)) 4) (sqrt -1)))) (sqrt (log (- 1 u1))))))))>
#<alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (* (pow (log (E)) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (* (pow (log (E)) 6) (sqrt -1)))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (* (pow (log (E)) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))))>
#<alt (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* -1/32 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/32 (sqrt (/ 1 (pow u1 3)))) (* 1/128 (sqrt (/ 1 u1))))))))>
#<alt (* u1 (sqrt 1/2))>
#<alt (* u1 (+ (sqrt 1/2) (* 1/2 (/ 1 (* u1 (sqrt 1/2))))))>
#<alt (* u1 (- (+ (sqrt 1/2) (/ 1/2 (* u1 (sqrt 1/2)))) (/ 1/8 (* (pow u1 2) (pow (sqrt 1/2) 3)))))>
#<alt (* u1 (- (+ (sqrt 1/2) (+ (/ 1/2 (* u1 (sqrt 1/2))) (* 1/16 (/ 1 (* (pow u1 3) (pow (sqrt 1/2) 5)))))) (* 1/8 (/ 1 (* (pow u1 2) (pow (sqrt 1/2) 3))))))>
#<alt (* -1 (* u1 (sqrt 1/2)))>
#<alt (* -1 (* u1 (+ (sqrt 1/2) (* 1/2 (/ 1 (* u1 (sqrt 1/2)))))))>
#<alt (* -1 (* u1 (+ (sqrt 1/2) (* -1 (/ (- (* 1/8 (/ 1 (* u1 (pow (sqrt 1/2) 3)))) (* 1/2 (/ 1 (sqrt 1/2)))) u1)))))>
#<alt (* -1 (* u1 (+ (sqrt 1/2) (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 (* u1 (pow (sqrt 1/2) 5)))) (* 1/8 (/ 1 (pow (sqrt 1/2) 3)))) u1)) (* 1/2 (/ 1 (sqrt 1/2)))) u1)))))>
#<alt u1>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* 1/2 (pow u1 2))>
#<alt (* (pow u1 2) (+ 1/2 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1/2 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1/2 (/ 1 u1)))>
#<alt (* 1/2 (pow u1 2))>
#<alt (* (pow u1 2) (+ 1/2 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1/2 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1/2 (/ 1 u1)))>
#<alt (* 1/2 u1)>
#<alt (* 1/2 u1)>
#<alt (* 1/2 u1)>
#<alt (* 1/2 u1)>
#<alt (* 1/2 u1)>
#<alt (* 1/2 u1)>
#<alt (* 1/2 u1)>
#<alt (* 1/2 u1)>
#<alt (* 1/2 u1)>
#<alt (* 1/2 u1)>
#<alt (* 1/2 u1)>
#<alt (* 1/2 u1)>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* -1/4 (sqrt (pow u1 3))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* 1/6 (sqrt u1)))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 u1))))) (* 1/6 (sqrt (/ 1 u1))))))))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt -1))>
#<alt (+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (sqrt (log (/ 1 u1))) (sqrt -1)))>
#<alt (+ (* -1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (sqrt (log (/ 1 u1))) (sqrt -1))))>
#<alt (+ (* -1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 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))))) (* (pow u1 3) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (sqrt (log (/ 1 u1))) (sqrt -1)))))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (+ (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))))>
#<alt (+ (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)))>
#<alt (+ (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (* 1/2 (* (/ (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (+ (log -1) (* -1 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)) (* -1/2 (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) u1)))>
#<alt u1>
#<alt (* u1 (+ 1 (* -1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (- (* 1/3 u1) 1/2))))>
#<alt (* u1 (+ 1 (* u1 (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))))>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (+ (* -1 (log (/ 1 u1))) (/ 1 u1))>
#<alt (- (+ (* -1 (log (/ 1 u1))) (/ 1 u1)) (/ 1/2 (pow u1 2)))>
#<alt (- (+ (* -1 (log (/ 1 u1))) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (/ 1/2 (pow u1 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 u1))) (/ 1 u1)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* 1/2 (/ 1 u1)) 1) u1))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 u1)) 1/2) u1)) 1) u1))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))>
#<alt (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI))))))>
#<alt (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* (sqrt (/ 1 (pow u1 3))) (cos (* 2 (* u2 (PI)))))))>
#<alt (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* (sqrt (/ 1 (pow u1 3))) (cos (* 2 (* u2 (PI)))))))>
#<alt (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* (sqrt (/ 1 (pow u1 3))) (cos (* 2 (* u2 (PI)))))))>
#<alt (* 1/4 (* (sqrt (pow u1 3)) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (* (pow u1 2) (+ (* -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))))))>
#<alt (* (pow u1 2) (+ (* -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))))))>
#<alt (* (pow u1 2) (+ (* -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))))))>
#<alt (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))>
#<alt (+ (sqrt u1) (+ (* -2 (* (pow u2 2) (* (pow (PI) 2) (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))))) (* 1/4 (sqrt (pow u1 3)))))>
#<alt (+ (sqrt u1) (+ (* 1/4 (sqrt (pow u1 3))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3)))))) (* 2/3 (* (pow u2 2) (* (pow (PI) 4) (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3)))))))))))>
#<alt (+ (sqrt u1) (+ (* 1/4 (sqrt (pow u1 3))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3)))))) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (* (pow (PI) 6) (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))))) (* 2/3 (* (pow (PI) 4) (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))))))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3)))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3)))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3)))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3)))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3)))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3)))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3)))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3)))))>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))>
#<alt (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))>
#<alt (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))>
#<alt (* 1/4 (sqrt (pow u1 3)))>
#<alt (* (pow u1 2) (+ (sqrt (/ 1 (pow u1 3))) (* 1/4 (sqrt (/ 1 u1)))))>
#<alt (* (pow u1 2) (+ (sqrt (/ 1 (pow u1 3))) (* 1/4 (sqrt (/ 1 u1)))))>
#<alt (* (pow u1 2) (+ (sqrt (/ 1 (pow u1 3))) (* 1/4 (sqrt (/ 1 u1)))))>
#<alt (* 1/4 (* (sqrt (pow u1 3)) (pow (sqrt -1) 2)))>
#<alt (* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/4 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))>
#<alt (* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/4 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))>
#<alt (* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/4 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))>
#<alt (sqrt (pow u1 3))>
#<alt (sqrt (pow u1 3))>
#<alt (sqrt (pow u1 3))>
#<alt (sqrt (pow u1 3))>
#<alt (sqrt (pow u1 3))>
#<alt (sqrt (pow u1 3))>
#<alt (sqrt (pow u1 3))>
#<alt (sqrt (pow u1 3))>
#<alt (* (sqrt (pow u1 3)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (pow u1 3)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (pow u1 3)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (pow u1 3)) (pow (sqrt -1) 2))>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (* -1 u1)>
#<alt (* u1 (- (* -1/2 u1) 1))>
#<alt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))>
#<alt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))>
#<alt (* 1/4 (pow u1 4))>
#<alt (* (pow u1 4) (- 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 4) (- (+ 1/4 (/ 1/2 (pow u1 2))) (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 4) (- (+ 1/4 (/ 1/2 (pow u1 2))) (+ (* 1/3 (/ 1 u1)) (/ 1 (pow u1 3)))))>
#<alt (* 1/4 (pow u1 4))>
#<alt (* (pow u1 4) (- 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 4) (+ 1/4 (* -1 (/ (- 1/3 (* 1/2 (/ 1 u1))) u1))))>
#<alt (* (pow u1 4) (+ 1/4 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/2 (/ 1 u1)) u1))) u1))))>
#<alt -1>
#<alt (- (pow u1 2) 1)>
#<alt (- (pow u1 2) 1)>
#<alt (- (pow u1 2) 1)>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (- 1 (/ 1 (pow u1 2))))>
#<alt (* (pow u1 2) (- 1 (/ 1 (pow u1 2))))>
#<alt (* (pow u1 2) (- 1 (/ 1 (pow u1 2))))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (- 1 (/ 1 (pow u1 2))))>
#<alt (* (pow u1 2) (- 1 (/ 1 (pow u1 2))))>
#<alt (* (pow u1 2) (- 1 (/ 1 (pow u1 2))))>
#<alt (* -1 (pow u1 2))>
#<alt (* (pow u1 2) (- (* -1/2 (pow u1 2)) 1))>
#<alt (* (pow u1 2) (- (* (pow u1 2) (- (* -1/3 (pow u1 2)) 1/2)) 1))>
#<alt (* (pow u1 2) (- (* (pow u1 2) (- (* (pow u1 2) (- (* -1/4 (pow u1 2)) 1/3)) 1/2)) 1))>
#<alt (+ (log -1) (* -2 (log (/ 1 u1))))>
#<alt (- (+ (log -1) (* -2 (log (/ 1 u1)))) (/ 1 (pow u1 2)))>
#<alt (+ (log -1) (+ (* -2 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow u1 2)))) (pow u1 2)))))>
#<alt (- (+ (log -1) (+ (* -2 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow u1 2)))) (pow u1 4))))) (/ 1 (pow u1 2)))>
#<alt (+ (log -1) (* -2 (log (/ -1 u1))))>
#<alt (- (+ (log -1) (* -2 (log (/ -1 u1)))) (/ 1 (pow u1 2)))>
#<alt (+ (log -1) (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow u1 2)))) (pow u1 2)))))>
#<alt (- (+ (log -1) (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow u1 2)))) (pow u1 4))))) (/ 1 (pow u1 2)))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* (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)))))))))>
#<alt (+ (* (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)))))))))))>
#<alt (* (pow u1 2) (* (cos (* 2 (* u2 (PI)))) (sqrt -1/4)))>
#<alt (* (pow u1 2) (+ (* 1/6 (/ (cos (* 2 (* u2 (PI)))) (* u1 (sqrt -1/4)))) (* (cos (* 2 (* u2 (PI)))) (sqrt -1/4))))>
#<alt (* (pow u1 2) (+ (* -1/2 (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2))))) (* (pow u1 2) (sqrt -1/4)))) (+ (* 1/6 (/ (cos (* 2 (* u2 (PI)))) (* u1 (sqrt -1/4)))) (* (cos (* 2 (* u2 (PI)))) (sqrt -1/4)))))>
#<alt (* (pow u1 2) (+ (* -1/2 (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2))))) (* (pow u1 2) (sqrt -1/4)))) (+ (* 1/6 (/ (cos (* 2 (* u2 (PI)))) (* u1 (sqrt -1/4)))) (+ (* 1/2 (/ (* (cos (* 2 (* u2 (PI)))) (- 1 (* -1/6 (/ (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))) (pow (sqrt -1/4) 2))))) (* (pow u1 3) (sqrt -1/4)))) (* (cos (* 2 (* u2 (PI)))) (sqrt -1/4))))))>
#<alt (* (pow u1 2) (* (cos (* 2 (* u2 (PI)))) (sqrt -1/4)))>
#<alt (* (pow u1 2) (+ (* 1/6 (/ (cos (* 2 (* u2 (PI)))) (* u1 (sqrt -1/4)))) (* (cos (* 2 (* u2 (PI)))) (sqrt -1/4))))>
#<alt (* (pow u1 2) (+ (* -1 (/ (+ (* -1/6 (/ (cos (* 2 (* u2 (PI)))) (sqrt -1/4))) (* 1/2 (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2))))) (* u1 (sqrt -1/4))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt -1/4))))>
#<alt (* (pow u1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2))))) (sqrt -1/4))) (* 1/2 (/ (* (cos (* 2 (* u2 (PI)))) (+ 1 (* 1/6 (/ (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))) (pow (sqrt -1/4) 2))))) (* u1 (sqrt -1/4))))) u1)) (* -1/6 (/ (cos (* 2 (* u2 (PI)))) (sqrt -1/4)))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt -1/4))))>
#<alt (sqrt (- (+ u1 (* (pow u1 2) (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))) (log (- 1 (pow u1 2)))))>
#<alt (+ (sqrt (- (+ u1 (* (pow u1 2) (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))) (log (- 1 (pow u1 2))))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (- (+ u1 (* (pow u1 2) (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))) (log (- 1 (pow u1 2))))))))>
#<alt (+ (sqrt (- (+ u1 (* (pow u1 2) (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))) (log (- 1 (pow u1 2))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (+ u1 (* (pow u1 2) (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))) (log (- 1 (pow u1 2))))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (- (+ u1 (* (pow u1 2) (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))) (log (- 1 (pow u1 2))))))))))>
#<alt (+ (sqrt (- (+ u1 (* (pow u1 2) (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))) (log (- 1 (pow u1 2))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (+ u1 (* (pow u1 2) (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))) (log (- 1 (pow u1 2))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (- (+ u1 (* (pow u1 2) (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))) (log (- 1 (pow u1 2))))))) (* 2/3 (* (pow (PI) 4) (sqrt (- (+ u1 (* (pow u1 2) (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))) (log (- 1 (pow u1 2))))))))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (+ u1 (* (pow u1 2) (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))) (log (- 1 (pow u1 2))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (+ u1 (* (pow u1 2) (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))) (log (- 1 (pow u1 2))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (+ u1 (* (pow u1 2) (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))) (log (- 1 (pow u1 2))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (+ u1 (* (pow u1 2) (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))) (log (- 1 (pow u1 2))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (+ u1 (* (pow u1 2) (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))) (log (- 1 (pow u1 2))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (+ u1 (* (pow u1 2) (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))) (log (- 1 (pow u1 2))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (+ u1 (* (pow u1 2) (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))) (log (- 1 (pow u1 2))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (+ u1 (* (pow u1 2) (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))) (log (- 1 (pow u1 2))))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt 1/3>
#<alt (+ 1/3 (* -1/4 u1))>
#<alt (+ 1/3 (* -1/4 u1))>
#<alt (+ 1/3 (* -1/4 u1))>
#<alt (* -1/4 u1)>
#<alt (* u1 (- (* 1/3 (/ 1 u1)) 1/4))>
#<alt (* u1 (- (* 1/3 (/ 1 u1)) 1/4))>
#<alt (* u1 (- (* 1/3 (/ 1 u1)) 1/4))>
#<alt (* -1/4 u1)>
#<alt (* -1 (* u1 (- 1/4 (* 1/3 (/ 1 u1)))))>
#<alt (* -1 (* u1 (- 1/4 (* 1/3 (/ 1 u1)))))>
#<alt (* -1 (* u1 (- 1/4 (* 1/3 (/ 1 u1)))))>

Calls

63 calls:

Time	Variable		Point	Expression
1.0ms	u2	@	inf	(* (sqrt (neg (- (log (neg (+ -1 (* u1 u1)))) (+ (* (* u1 u1) (+ (* u1 (+ (* u1 -1/4) 1/3)) -1/2)) u1)))) (cos (* (* 2 (PI)) u2)))
1.0ms	u1	@	inf	(pow (pow (neg (log (+ 1 (neg u1)))) 1/4) 2)
1.0ms	u2	@	0	(* (sqrt (neg (- (log (neg (+ -1 (* u1 u1)))) (+ (* (* u1 u1) (+ (* u1 (+ (* u1 -1/4) 1/3)) -1/2)) u1)))) (cos (* (* 2 (PI)) u2)))
1.0ms	u1	@	inf	(* (sqrt (neg (- (log (neg (+ -1 (* u1 u1)))) (+ (* (* u1 u1) (+ (* u1 (+ (* u1 -1/4) 1/3)) -1/2)) u1)))) (cos (* (* 2 (PI)) u2)))
1.0ms	u2	@	inf	(* (+ (* (sqrt (* u1 (* u1 u1))) 1/4) (sqrt u1)) (cos (* (* 2 (PI)) u2)))

rewrite358.0ms (2.8%)

Memory

44.3MiB live, 615.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 216×	`accelerator-lowering-fma.f32`
5 216×	`accelerator-lowering-fma.f64`
3 884×	`-lowering-.f32`
3 884×	`-lowering-.f64`
2 742×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	166
1	275	157
2	1970	154
0	8474	131

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 447

Calls

Call 1

Inputs
(pow (pow (neg (log (+ 1 (neg u1)))) 1/4) 2)
(log (E))
(* (PI) (log (E)))
(* (pow (pow (neg (log (+ 1 (neg u1)))) 1/4) 2) (cos (* (* 2 (* (PI) (log (E)))) u2)))
(sqrt (+ (* u1 (* u1 1/2)) u1))
(+ (* u1 (* u1 1/2)) u1)
(* u1 1/2)
(sqrt (log (+ 1 u1)))
(log (+ 1 u1))
(* (+ (* (sqrt (* u1 (* u1 u1))) 1/4) (sqrt u1)) (cos (* (* 2 (PI)) u2)))
(+ (* (sqrt (* u1 (* u1 u1))) 1/4) (sqrt u1))
(sqrt (* u1 (* u1 u1)))
(* u1 (* u1 u1))
(- (log (neg (+ -1 (* u1 u1)))) (+ (* (* u1 u1) (+ (* u1 (+ (* u1 -1/4) 1/3)) -1/2)) u1))
(+ -1 (* u1 u1))
(log (neg (+ -1 (* u1 u1))))
(* (sqrt (neg (- (log (neg (+ -1 (* u1 u1)))) (+ (* (* u1 u1) (+ (* u1 (+ (* u1 -1/4) 1/3)) -1/2)) u1)))) (cos (* (* 2 (PI)) u2)))
(* (* 2 (* (PI) (log (E)))) u2)
(* (* 2 (PI)) u2)
(+ (* u1 -1/4) 1/3)

Outputs
(exp.f32 (*.f32 (log.f32 (neg.f32 (log1p.f32 u1))) #s(literal 1/2 binary32)))
(exp.f32 (.f32 #s(literal 2 binary32) (.f32 #s(literal 1/4 binary32) (log.f32 (neg.f32 (log1p.f32 u1))))))
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(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) (*.f32 u1 u1))))) (log.f32 (fma.f32 u1 u1 #s(literal -1 binary32))))
(-.f32 (log1p.f32 (.f32 (.f32 u1 u1) (.f32 (.f32 u1 u1) (.f32 u1 u1)))) (log1p.f32 (-.f32 (.f32 (.f32 u1 u1) (.f32 u1 u1)) (.f32 #s(literal 1 binary32) (neg.f32 (.f32 u1 u1))))))
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) (.f32 (.f32 u1 u1) (.f32 u1 u1))))) (log1p.f32 (.f32 (.f32 u1 u1) (-.f32 (.f32 u1 u1) #s(literal -1 binary32)))))
(-.f32 (log.f32 (-.f32 #s(literal 0 binary32) (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))))) (log.f32 (+.f32 #s(literal 0 binary32) (fma.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)) (*.f32 #s(literal 0 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)))))))
(-.f32 (log.f32 (-.f32 #s(literal 0 binary32) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))) (log.f32 (+.f32 #s(literal 0 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(-.f32 (log.f32 (.f32 #s(literal -1 binary32) (fma.f32 (.f32 u1 u1) (.f32 (.f32 u1 u1) (.f32 u1 u1)) #s(literal -1 binary32)))) (log1p.f32 (.f32 (.f32 u1 u1) (-.f32 (.f32 u1 u1) #s(literal -1 binary32)))))
(-.f32 (log.f32 (.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) (.f32 u1 u1))))) (log.f32 (fma.f32 u1 u1 #s(literal -1 binary32))))
(/.f32 (+.f32 (pow.f32 (log.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 (fma.f32 u1 u1 #s(literal -1 binary32))) #s(literal 3 binary32))) (fma.f32 (log.f32 #s(literal -1 binary32)) (log.f32 #s(literal -1 binary32)) (-.f32 (.f32 (log.f32 (fma.f32 u1 u1 #s(literal -1 binary32))) (log.f32 (fma.f32 u1 u1 #s(literal -1 binary32)))) (.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (fma.f32 u1 u1 #s(literal -1 binary32)))))))
(log.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
(.f32 (cos.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal 1/3 binary32)) #s(literal -1/2 binary32)) u1)))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal 1/3 binary32)) #s(literal -1/2 binary32)) u1)))) (cos.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))
(.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))
(.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 #s(literal 1 binary32) u2))
(.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)) #s(literal 1 binary32))
(.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))
(.f32 (.f32 u2 #s(literal 2 binary32)) (PI.f32))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))
(.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))
(.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 #s(literal 1 binary32) u2))
(.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)) #s(literal 1 binary32))
(.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))
(.f32 (.f32 u2 #s(literal 2 binary32)) (PI.f32))
(+.f32 (*.f32 u1 #s(literal -1/4 binary32)) #s(literal 1/3 binary32))
(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32)))
(pow.f32 (/.f32 (fma.f32 (.f32 u1 u1) #s(literal 1/16 binary32) (-.f32 #s(literal 1/9 binary32) (.f32 u1 #s(literal -1/12 binary32)))) (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal -1/64 binary32) #s(literal 1/27 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) (fma.f32 (*.f32 u1 u1) #s(literal 1/16 binary32) #s(literal -1/9 binary32))) #s(literal -1 binary32))
(fma.f32 u1 #s(literal -1/4 binary32) #s(literal 1/3 binary32))
(fma.f32 #s(literal -1/4 binary32) u1 #s(literal 1/3 binary32))
(-.f32 (/.f32 (.f32 (.f32 u1 u1) #s(literal 1/16 binary32)) (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32))) (/.f32 #s(literal 1/9 binary32) (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32))))
(-.f32 (/.f32 #s(literal 1/9 binary32) (-.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal -1/4 binary32)))) (/.f32 (.f32 (.f32 u1 u1) #s(literal 1/16 binary32)) (-.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal -1/4 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 u1) #s(literal 1/16 binary32) (-.f32 #s(literal 1/9 binary32) (.f32 u1 #s(literal -1/12 binary32)))) (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal -1/64 binary32) #s(literal 1/27 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) (fma.f32 (*.f32 u1 u1) #s(literal 1/16 binary32) #s(literal -1/9 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (.f32 u1 u1) #s(literal 1/16 binary32) (-.f32 #s(literal 1/9 binary32) (.f32 u1 #s(literal -1/12 binary32)))) (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal -1/64 binary32) #s(literal 1/27 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) (fma.f32 (*.f32 u1 u1) #s(literal 1/16 binary32) #s(literal -1/9 binary32)))))
(/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal -1/64 binary32) #s(literal 1/27 binary32)) (fma.f32 (.f32 u1 u1) #s(literal 1/16 binary32) (-.f32 #s(literal 1/9 binary32) (.f32 u1 #s(literal -1/12 binary32)))))
(/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal -1/64 binary32) #s(literal 1/27 binary32)) (+.f32 #s(literal 1/9 binary32) (-.f32 (.f32 (.f32 u1 u1) #s(literal 1/16 binary32)) (*.f32 u1 #s(literal -1/12 binary32)))))
(/.f32 (fma.f32 (*.f32 u1 u1) #s(literal 1/16 binary32) #s(literal -1/9 binary32)) (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)))
(/.f32 (neg.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal -1/64 binary32) #s(literal 1/27 binary32))) (neg.f32 (fma.f32 (.f32 u1 u1) #s(literal 1/16 binary32) (-.f32 #s(literal 1/9 binary32) (.f32 u1 #s(literal -1/12 binary32))))))
(/.f32 (neg.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal -1/64 binary32) #s(literal 1/27 binary32))) (neg.f32 (+.f32 #s(literal 1/9 binary32) (-.f32 (.f32 (.f32 u1 u1) #s(literal 1/16 binary32)) (*.f32 u1 #s(literal -1/12 binary32))))))
(/.f32 (neg.f32 (fma.f32 (*.f32 u1 u1) #s(literal 1/16 binary32) #s(literal -1/9 binary32))) (neg.f32 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32))))
(/.f32 (-.f32 #s(literal 1/9 binary32) (.f32 (.f32 u1 u1) #s(literal 1/16 binary32))) (-.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32))))
(/.f32 (-.f32 (.f32 (.f32 (.f32 u1 u1) #s(literal 1/16 binary32)) (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32))) (.f32 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal 1/9 binary32))) (*.f32 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal -1/64 binary32) #s(literal 1/27 binary32)))) (neg.f32 (neg.f32 (fma.f32 (.f32 u1 u1) #s(literal 1/16 binary32) (-.f32 #s(literal 1/9 binary32) (.f32 u1 #s(literal -1/12 binary32)))))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (*.f32 u1 u1) #s(literal 1/16 binary32) #s(literal -1/9 binary32)))) (neg.f32 (neg.f32 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)))))
(/.f32 (neg.f32 (-.f32 #s(literal 1/9 binary32) (.f32 (.f32 u1 u1) #s(literal 1/16 binary32)))) (neg.f32 (-.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32)))))
(/.f32 (-.f32 (pow.f32 (/.f32 (.f32 (.f32 u1 u1) #s(literal 1/16 binary32)) (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1/9 binary32) (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 (.f32 (.f32 u1 u1) #s(literal 1/16 binary32)) (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32))) (/.f32 (.f32 (.f32 u1 u1) #s(literal 1/16 binary32)) (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32))) (fma.f32 (/.f32 #s(literal 1/9 binary32) (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32))) (/.f32 #s(literal 1/9 binary32) (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32))) (.f32 (/.f32 (.f32 (*.f32 u1 u1) #s(literal 1/16 binary32)) (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32))) (/.f32 #s(literal 1/9 binary32) (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)))))))
(.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal -1/64 binary32) #s(literal 1/27 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 u1 u1) #s(literal 1/16 binary32) (-.f32 #s(literal 1/9 binary32) (*.f32 u1 #s(literal -1/12 binary32))))))
(.f32 (fma.f32 (.f32 u1 u1) #s(literal 1/16 binary32) #s(literal -1/9 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32))))

simplify357.0ms (2.8%)

Memory

-27.4MiB live, 679.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8 256×	`accelerator-lowering-fma.f32`
8 256×	`accelerator-lowering-fma.f64`
7 128×	`-lowering-.f32`
7 128×	`-lowering-.f64`
2 992×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	661	4866
1	2045	4097
2	6967	4061
0	8069	3826

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

Inputs
(sqrt u1)
(+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/4 (* 1/16 (/ 1 u1))))))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (* (pow (sqrt -1) 2) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* 1/2 (* (/ (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (* (pow (sqrt -1) 2) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (pow (sqrt -1) 2) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (pow u1 3) (sqrt -1))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (* (pow (sqrt -1) 2) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (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)))
(* (sqrt u1) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (* (PI) (log (E)))))))) (* (sqrt u1) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (* (PI) (log (E)))))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (* (PI) (log (E)))))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (* (PI) (log (E)))))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (* (PI) (log (E)))))))))))))
(* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (* (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) (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (* (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) (log (E)))))) (* (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) (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (* (PI) (log (E)))))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (- 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) (log (E)))))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (* (pow (log (E)) 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) (* (pow (log (E)) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (* (pow (log (E)) 4) (sqrt -1)))) (sqrt (log (- 1 u1))))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (* (pow (log (E)) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (* (pow (log (E)) 6) (sqrt -1)))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (* (pow (log (E)) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))))
(* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (log (- 1 u1))))
(sqrt u1)
(+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/32 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/32 (sqrt (/ 1 (pow u1 3)))) (* 1/128 (sqrt (/ 1 u1))))))))
(* u1 (sqrt 1/2))
(* u1 (+ (sqrt 1/2) (* 1/2 (/ 1 (* u1 (sqrt 1/2))))))
(* u1 (- (+ (sqrt 1/2) (/ 1/2 (* u1 (sqrt 1/2)))) (/ 1/8 (* (pow u1 2) (pow (sqrt 1/2) 3)))))
(* u1 (- (+ (sqrt 1/2) (+ (/ 1/2 (* u1 (sqrt 1/2))) (* 1/16 (/ 1 (* (pow u1 3) (pow (sqrt 1/2) 5)))))) (* 1/8 (/ 1 (* (pow u1 2) (pow (sqrt 1/2) 3))))))
(* -1 (* u1 (sqrt 1/2)))
(* -1 (* u1 (+ (sqrt 1/2) (* 1/2 (/ 1 (* u1 (sqrt 1/2)))))))
(* -1 (* u1 (+ (sqrt 1/2) (* -1 (/ (- (* 1/8 (/ 1 (* u1 (pow (sqrt 1/2) 3)))) (* 1/2 (/ 1 (sqrt 1/2)))) u1)))))
(* -1 (* u1 (+ (sqrt 1/2) (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 (* u1 (pow (sqrt 1/2) 5)))) (* 1/8 (/ 1 (pow (sqrt 1/2) 3)))) u1)) (* 1/2 (/ 1 (sqrt 1/2)))) u1)))))
u1
(* u1 (+ 1 (* 1/2 u1)))
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(* 1/2 u1)
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(sqrt u1)
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(+ (sqrt u1) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 u1))))) (* 1/6 (sqrt (/ 1 u1))))))))
(* (sqrt (log (/ 1 u1))) (sqrt -1))
(+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (sqrt (log (/ 1 u1))) (sqrt -1)))
(+ (* -1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (sqrt (log (/ 1 u1))) (sqrt -1))))
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u1
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(+ (log -1) (* -1 (log (/ -1 u1))))
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(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (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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(* (pow u1 2) (+ (* -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))))))
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(* (pow u1 2) (+ (* -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))))))
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(+ (sqrt u1) (+ (* -2 (* (pow u2 2) (* (pow (PI) 2) (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))))) (* 1/4 (sqrt (pow u1 3)))))
(+ (sqrt u1) (+ (* 1/4 (sqrt (pow u1 3))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3)))))) (* 2/3 (* (pow u2 2) (* (pow (PI) 4) (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3)))))))))))
(+ (sqrt u1) (+ (* 1/4 (sqrt (pow u1 3))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3)))))) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (* (pow (PI) 6) (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))))) (* 2/3 (* (pow (PI) 4) (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))))))))))
(* (cos (* 2 (* u2 (PI)))) (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3)))))
(* (cos (* 2 (* u2 (PI)))) (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3)))))
(* (cos (* 2 (* u2 (PI)))) (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3)))))
(* (cos (* 2 (* u2 (PI)))) (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3)))))
(* (cos (* 2 (* u2 (PI)))) (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3)))))
(* (cos (* 2 (* u2 (PI)))) (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3)))))
(* (cos (* 2 (* u2 (PI)))) (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3)))))
(* (cos (* 2 (* u2 (PI)))) (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3)))))
(sqrt u1)
(+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))
(+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))
(+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))
(* 1/4 (sqrt (pow u1 3)))
(* (pow u1 2) (+ (sqrt (/ 1 (pow u1 3))) (* 1/4 (sqrt (/ 1 u1)))))
(* (pow u1 2) (+ (sqrt (/ 1 (pow u1 3))) (* 1/4 (sqrt (/ 1 u1)))))
(* (pow u1 2) (+ (sqrt (/ 1 (pow u1 3))) (* 1/4 (sqrt (/ 1 u1)))))
(* 1/4 (* (sqrt (pow u1 3)) (pow (sqrt -1) 2)))
(* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/4 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))
(* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/4 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))
(* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/4 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))
(sqrt (pow u1 3))
(sqrt (pow u1 3))
(sqrt (pow u1 3))
(sqrt (pow u1 3))
(sqrt (pow u1 3))
(sqrt (pow u1 3))
(sqrt (pow u1 3))
(sqrt (pow u1 3))
(* (sqrt (pow u1 3)) (pow (sqrt -1) 2))
(* (sqrt (pow u1 3)) (pow (sqrt -1) 2))
(* (sqrt (pow u1 3)) (pow (sqrt -1) 2))
(* (sqrt (pow u1 3)) (pow (sqrt -1) 2))
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
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(* -1 u1)
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(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(* 1/4 (pow u1 4))
(* (pow u1 4) (- 1/4 (* 1/3 (/ 1 u1))))
(* (pow u1 4) (- (+ 1/4 (/ 1/2 (pow u1 2))) (* 1/3 (/ 1 u1))))
(* (pow u1 4) (- (+ 1/4 (/ 1/2 (pow u1 2))) (+ (* 1/3 (/ 1 u1)) (/ 1 (pow u1 3)))))
(* 1/4 (pow u1 4))
(* (pow u1 4) (- 1/4 (* 1/3 (/ 1 u1))))
(* (pow u1 4) (+ 1/4 (* -1 (/ (- 1/3 (* 1/2 (/ 1 u1))) u1))))
(* (pow u1 4) (+ 1/4 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/2 (/ 1 u1)) u1))) u1))))
-1
(- (pow u1 2) 1)
(- (pow u1 2) 1)
(- (pow u1 2) 1)
(pow u1 2)
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(pow u1 2)
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(* -1 (pow u1 2))
(* (pow u1 2) (- (* -1/2 (pow u1 2)) 1))
(* (pow u1 2) (- (* (pow u1 2) (- (* -1/3 (pow u1 2)) 1/2)) 1))
(* (pow u1 2) (- (* (pow u1 2) (- (* (pow u1 2) (- (* -1/4 (pow u1 2)) 1/3)) 1/2)) 1))
(+ (log -1) (* -2 (log (/ 1 u1))))
(- (+ (log -1) (* -2 (log (/ 1 u1)))) (/ 1 (pow u1 2)))
(+ (log -1) (+ (* -2 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow u1 2)))) (pow u1 2)))))
(- (+ (log -1) (+ (* -2 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow u1 2)))) (pow u1 4))))) (/ 1 (pow u1 2)))
(+ (log -1) (* -2 (log (/ -1 u1))))
(- (+ (log -1) (* -2 (log (/ -1 u1)))) (/ 1 (pow u1 2)))
(+ (log -1) (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow u1 2)))) (pow u1 2)))))
(- (+ (log -1) (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow u1 2)))) (pow u1 4))))) (/ 1 (pow u1 2)))
(* (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)))))))))))
(* (pow u1 2) (* (cos (* 2 (* u2 (PI)))) (sqrt -1/4)))
(* (pow u1 2) (+ (* 1/6 (/ (cos (* 2 (* u2 (PI)))) (* u1 (sqrt -1/4)))) (* (cos (* 2 (* u2 (PI)))) (sqrt -1/4))))
(* (pow u1 2) (+ (* -1/2 (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2))))) (* (pow u1 2) (sqrt -1/4)))) (+ (* 1/6 (/ (cos (* 2 (* u2 (PI)))) (* u1 (sqrt -1/4)))) (* (cos (* 2 (* u2 (PI)))) (sqrt -1/4)))))
(* (pow u1 2) (+ (* -1/2 (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2))))) (* (pow u1 2) (sqrt -1/4)))) (+ (* 1/6 (/ (cos (* 2 (* u2 (PI)))) (* u1 (sqrt -1/4)))) (+ (* 1/2 (/ (* (cos (* 2 (* u2 (PI)))) (- 1 (* -1/6 (/ (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))) (pow (sqrt -1/4) 2))))) (* (pow u1 3) (sqrt -1/4)))) (* (cos (* 2 (* u2 (PI)))) (sqrt -1/4))))))
(* (pow u1 2) (* (cos (* 2 (* u2 (PI)))) (sqrt -1/4)))
(* (pow u1 2) (+ (* 1/6 (/ (cos (* 2 (* u2 (PI)))) (* u1 (sqrt -1/4)))) (* (cos (* 2 (* u2 (PI)))) (sqrt -1/4))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1/6 (/ (cos (* 2 (* u2 (PI)))) (sqrt -1/4))) (* 1/2 (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2))))) (* u1 (sqrt -1/4))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt -1/4))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2))))) (sqrt -1/4))) (* 1/2 (/ (* (cos (* 2 (* u2 (PI)))) (+ 1 (* 1/6 (/ (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))) (pow (sqrt -1/4) 2))))) (* u1 (sqrt -1/4))))) u1)) (* -1/6 (/ (cos (* 2 (* u2 (PI)))) (sqrt -1/4)))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt -1/4))))
(sqrt (- (+ u1 (* (pow u1 2) (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))) (log (- 1 (pow u1 2)))))
(+ (sqrt (- (+ u1 (* (pow u1 2) (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))) (log (- 1 (pow u1 2))))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (- (+ u1 (* (pow u1 2) (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))) (log (- 1 (pow u1 2))))))))
(+ (sqrt (- (+ u1 (* (pow u1 2) (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))) (log (- 1 (pow u1 2))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (+ u1 (* (pow u1 2) (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))) (log (- 1 (pow u1 2))))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (- (+ u1 (* (pow u1 2) (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))) (log (- 1 (pow u1 2))))))))))
(+ (sqrt (- (+ u1 (* (pow u1 2) (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))) (log (- 1 (pow u1 2))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (+ u1 (* (pow u1 2) (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))) (log (- 1 (pow u1 2))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (- (+ u1 (* (pow u1 2) (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))) (log (- 1 (pow u1 2))))))) (* 2/3 (* (pow (PI) 4) (sqrt (- (+ u1 (* (pow u1 2) (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))) (log (- 1 (pow u1 2))))))))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (+ u1 (* (pow u1 2) (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))) (log (- 1 (pow u1 2))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (+ u1 (* (pow u1 2) (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))) (log (- 1 (pow u1 2))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (+ u1 (* (pow u1 2) (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))) (log (- 1 (pow u1 2))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (+ u1 (* (pow u1 2) (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))) (log (- 1 (pow u1 2))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (+ u1 (* (pow u1 2) (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))) (log (- 1 (pow u1 2))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (+ u1 (* (pow u1 2) (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))) (log (- 1 (pow u1 2))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (+ u1 (* (pow u1 2) (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))) (log (- 1 (pow u1 2))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (+ u1 (* (pow u1 2) (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))) (log (- 1 (pow u1 2))))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
1/3
(+ 1/3 (* -1/4 u1))
(+ 1/3 (* -1/4 u1))
(+ 1/3 (* -1/4 u1))
(* -1/4 u1)
(* u1 (- (* 1/3 (/ 1 u1)) 1/4))
(* u1 (- (* 1/3 (/ 1 u1)) 1/4))
(* u1 (- (* 1/3 (/ 1 u1)) 1/4))
(* -1/4 u1)
(* -1 (* u1 (- 1/4 (* 1/3 (/ 1 u1)))))
(* -1 (* u1 (- 1/4 (* 1/3 (/ 1 u1)))))
(* -1 (* u1 (- 1/4 (* 1/3 (/ 1 u1)))))

Outputs
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))
(fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))
(fma.f32 (.f32 u1 u1) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))) (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 (.f32 u1 u1) (fma.f32 u1 (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1)) (.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)))) (.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 u1))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))
(+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (.f32 u1 (sqrt.f32 #s(literal -1 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))
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(.f32 (.f32 u1 u1) (+.f32 (/.f32 (.f32 #s(literal -7/36 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (.f32 u1 (.f32 u1 (sqrt.f32 #s(literal -1/4 binary32))))) (fma.f32 #s(literal 1/6 binary32) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 u1 (sqrt.f32 #s(literal -1/4 binary32)))) (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1/4 binary32)) (/.f32 (.f32 #s(literal 10/27 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (.f32 u1 (.f32 u1 (.f32 u1 (sqrt.f32 #s(literal -1/4 binary32))))))))))
(* (pow u1 2) (* (cos (* 2 (* u2 (PI)))) (sqrt -1/4)))
(.f32 (.f32 u1 u1) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1/4 binary32))))
(* (pow u1 2) (+ (* 1/6 (/ (cos (* 2 (* u2 (PI)))) (* u1 (sqrt -1/4)))) (* (cos (* 2 (* u2 (PI)))) (sqrt -1/4))))
(.f32 (.f32 u1 u1) (fma.f32 #s(literal 1/6 binary32) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 u1 (sqrt.f32 #s(literal -1/4 binary32)))) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1/4 binary32)))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1/6 (/ (cos (* 2 (* u2 (PI)))) (sqrt -1/4))) (* 1/2 (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2))))) (* u1 (sqrt -1/4))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt -1/4))))
(.f32 (.f32 u1 u1) (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1/4 binary32)) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1/4 binary32))) (/.f32 (.f32 #s(literal 7/36 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (.f32 u1 (sqrt.f32 #s(literal -1/4 binary32))))) (neg.f32 u1))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2))))) (sqrt -1/4))) (* 1/2 (/ (* (cos (* 2 (* u2 (PI)))) (+ 1 (* 1/6 (/ (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))) (pow (sqrt -1/4) 2))))) (* u1 (sqrt -1/4))))) u1)) (* -1/6 (/ (cos (* 2 (* u2 (PI)))) (sqrt -1/4)))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt -1/4))))
(.f32 u1 (.f32 u1 (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1/4 binary32)) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1/4 binary32))) (/.f32 (+.f32 (/.f32 (.f32 #s(literal -7/36 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (sqrt.f32 #s(literal -1/4 binary32))) (/.f32 (.f32 #s(literal 10/27 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (*.f32 u1 (sqrt.f32 #s(literal -1/4 binary32))))) (neg.f32 u1))) (neg.f32 u1)))))
(sqrt (- (+ u1 (* (pow u1 2) (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))) (log (- 1 (pow u1 2)))))
(sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal 1/3 binary32)) #s(literal -1/2 binary32))) (-.f32 u1 (log1p.f32 (.f32 u1 (neg.f32 u1))))))
(+ (sqrt (- (+ u1 (* (pow u1 2) (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))) (log (- 1 (pow u1 2))))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (- (+ u1 (* (pow u1 2) (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))) (log (- 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 (fma.f32 u1 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal 1/3 binary32)) #s(literal -1/2 binary32))) (-.f32 u1 (log1p.f32 (.f32 u1 (neg.f32 u1)))))))
(+ (sqrt (- (+ u1 (* (pow u1 2) (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))) (log (- 1 (pow u1 2))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (+ u1 (* (pow u1 2) (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))) (log (- 1 (pow u1 2))))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (- (+ u1 (* (pow u1 2) (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))) (log (- 1 (pow u1 2))))))))))
(fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal 1/3 binary32)) #s(literal -1/2 binary32))) (-.f32 u1 (log1p.f32 (.f32 u1 (neg.f32 u1)))))) (fma.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (.f32 u2 u2)))) (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal 1/3 binary32)) #s(literal -1/2 binary32))) (-.f32 u1 (log1p.f32 (.f32 u1 (neg.f32 u1)))))))
(+ (sqrt (- (+ u1 (* (pow u1 2) (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))) (log (- 1 (pow u1 2))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (+ u1 (* (pow u1 2) (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))) (log (- 1 (pow u1 2))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (- (+ u1 (* (pow u1 2) (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))) (log (- 1 (pow u1 2))))))) (* 2/3 (* (pow (PI) 4) (sqrt (- (+ u1 (* (pow u1 2) (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))) (log (- 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 (fma.f32 u1 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal 1/3 binary32)) #s(literal -1/2 binary32))) (-.f32 u1 (log1p.f32 (.f32 u1 (neg.f32 u1)))))) (.f32 (.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal 1/3 binary32)) #s(literal -1/2 binary32))) (-.f32 u1 (log1p.f32 (.f32 u1 (neg.f32 u1)))))) (fma.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (.f32 #s(literal -4/45 binary32) (.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 6 binary32))))) (.f32 (.f32 u2 u2) (*.f32 u2 u2))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (+ u1 (* (pow u1 2) (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))) (log (- 1 (pow u1 2))))))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal 1/3 binary32)) #s(literal -1/2 binary32))) (-.f32 u1 (log1p.f32 (*.f32 u1 (neg.f32 u1)))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (+ u1 (* (pow u1 2) (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))) (log (- 1 (pow u1 2))))))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal 1/3 binary32)) #s(literal -1/2 binary32))) (-.f32 u1 (log1p.f32 (*.f32 u1 (neg.f32 u1)))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (+ u1 (* (pow u1 2) (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))) (log (- 1 (pow u1 2))))))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal 1/3 binary32)) #s(literal -1/2 binary32))) (-.f32 u1 (log1p.f32 (*.f32 u1 (neg.f32 u1)))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (+ u1 (* (pow u1 2) (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))) (log (- 1 (pow u1 2))))))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal 1/3 binary32)) #s(literal -1/2 binary32))) (-.f32 u1 (log1p.f32 (*.f32 u1 (neg.f32 u1)))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (+ u1 (* (pow u1 2) (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))) (log (- 1 (pow u1 2))))))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal 1/3 binary32)) #s(literal -1/2 binary32))) (-.f32 u1 (log1p.f32 (*.f32 u1 (neg.f32 u1)))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (+ u1 (* (pow u1 2) (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))) (log (- 1 (pow u1 2))))))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal 1/3 binary32)) #s(literal -1/2 binary32))) (-.f32 u1 (log1p.f32 (*.f32 u1 (neg.f32 u1)))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (+ u1 (* (pow u1 2) (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))) (log (- 1 (pow u1 2))))))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal 1/3 binary32)) #s(literal -1/2 binary32))) (-.f32 u1 (log1p.f32 (*.f32 u1 (neg.f32 u1)))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (+ u1 (* (pow u1 2) (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))) (log (- 1 (pow u1 2))))))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal 1/3 binary32)) #s(literal -1/2 binary32))) (-.f32 u1 (log1p.f32 (*.f32 u1 (neg.f32 u1)))))))
(* 2 (* u2 (* (PI) (log (E)))))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (* (PI) (log (E)))))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (* (PI) (log (E)))))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (* (PI) (log (E)))))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (* (PI) (log (E)))))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (* (PI) (log (E)))))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (* (PI) (log (E)))))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (* (PI) (log (E)))))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (* (PI) (log (E)))))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (* (PI) (log (E)))))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (* (PI) (log (E)))))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (* (PI) (log (E)))))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
1/3
#s(literal 1/3 binary32)
(+ 1/3 (* -1/4 u1))
(fma.f32 u1 #s(literal -1/4 binary32) #s(literal 1/3 binary32))
(+ 1/3 (* -1/4 u1))
(fma.f32 u1 #s(literal -1/4 binary32) #s(literal 1/3 binary32))
(+ 1/3 (* -1/4 u1))
(fma.f32 u1 #s(literal -1/4 binary32) #s(literal 1/3 binary32))
(* -1/4 u1)
(*.f32 u1 #s(literal -1/4 binary32))
(* u1 (- (* 1/3 (/ 1 u1)) 1/4))
(*.f32 u1 (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* u1 (- (* 1/3 (/ 1 u1)) 1/4))
(*.f32 u1 (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* u1 (- (* 1/3 (/ 1 u1)) 1/4))
(*.f32 u1 (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* -1/4 u1)
(*.f32 u1 #s(literal -1/4 binary32))
(* -1 (* u1 (- 1/4 (* 1/3 (/ 1 u1)))))
(neg.f32 (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/3 binary32) u1))))
(* -1 (* u1 (- 1/4 (* 1/3 (/ 1 u1)))))
(neg.f32 (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/3 binary32) u1))))
(* -1 (* u1 (- 1/4 (* 1/3 (/ 1 u1)))))
(neg.f32 (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/3 binary32) u1))))

eval79.0ms (0.6%)

Memory: -7.4MiB live, 148.1MiB allocated
Compiler: Compiled 21 121 to 2 626 computations (87.6% saved)

prune123.0ms (0.9%)

Memory

33.4MiB live, 272.7MiB allocated

Pruning

51 alts after pruning (44 fresh and 7 done)

	Pruned	Kept	Total
New	699	20	719
Fresh	3	24	27
Picked	5	0	5
Done	0	7	7
Total	707	51	758

Accuracy

100.0%

Counts

758 → 51

Alt Table

Click to see full alt table

Status	Accuracy	Program
	79.6%	(fma.f32 (.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1)) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1)))
	69.8%	(fma.f32 (sqrt.f32 u1) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2))) (sqrt.f32 u1))
	74.2%	(fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1))
	87.7%	(/.f32 (.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (neg.f32 u1)) (cos.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (PI.f32)))) (-.f32 (.f32 #s(literal 1/4 binary32) (*.f32 u1 (sqrt.f32 u1))) (sqrt.f32 u1)))
	73.8%	(/.f32 (sqrt.f32 (-.f32 (.f32 u1 u1) (.f32 #s(literal 1/4 binary32) (.f32 (.f32 u1 u1) (.f32 u1 u1))))) (sqrt.f32 (-.f32 u1 (.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)))))
	65.5%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
	88.0%	(.f32 (fma.f32 (.f32 (sqrt.f32 u1) u1) #s(literal 1/4 binary32) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	79.4%	(.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)))
	87.2%	(.f32 (fma.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)) (.f32 #s(literal 1/4 binary32) (.f32 u1 (sqrt.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	98.2%	(.f32 (pow.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
	3.7%	(.f32 (+.f32 (sqrt.f32 #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (.f32 u1 (sqrt.f32 #s(literal 1/2 binary32))))) (neg.f32 u1))
	87.6%	(.f32 (.f32 u1 u1) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (*.f32 u1 u1)))))))
	93.7%	(.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.6%	(.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	87.7%	(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	73.8%	(*.f32 (sqrt.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32))) (sqrt.f32 u1))
	57.2%	(.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 (.f32 u1 u1)))))) (log1p.f32 (.f32 u1 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	87.7%	(.f32 (sqrt.f32 (.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.3%	(.f32 (sqrt.f32 (.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) u1)) (neg.f32 (.f32 u1 (.f32 u1 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.5%	(.f32 (sqrt.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	87.6%	(.f32 (sqrt.f32 (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.8%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 (fma.f32 (.f32 u1 u1) (fma.f32 u1 (.f32 u1 #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal 1/3 binary32)) #s(literal -1/2 binary32)) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	86.7%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal 1/3 binary32)) #s(literal -1/2 binary32)) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.6%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (fma.f32 u1 u1 #s(literal -1 binary32)))) (log1p.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.6%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (pow.f32 (sqrt.f32 (log1p.f32 u1)) #s(literal 2 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	82.6%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
	91.4%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
✓	91.6%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	77.1%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
	89.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
✓	99.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
✓	99.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	83.1%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
✓	57.5%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	69.7%	(.f32 (sqrt.f32 u1) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)))
	72.4%	(.f32 (sqrt.f32 u1) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 (.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32)))
	76.5%	(.f32 (sqrt.f32 u1) (fma.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) #s(literal 1/2 binary32) (-.f32 #s(literal 1/2 binary32) (fma.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)))))
	69.7%	(.f32 (sqrt.f32 u1) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
	30.9%	(.f32 (sqrt.f32 u1) (/.f32 (fma.f32 (-.f32 #s(literal 1/4 binary32) (.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))))) (fma.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) (fma.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) #s(literal 1/2 binary32)) #s(literal 1/4 binary32)) (.f32 (fma.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) (neg.f32 (+.f32 #s(literal 1/8 binary32) (pow.f32 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) #s(literal -1/2 binary32)) #s(literal 3 binary32)))))) (.f32 (fma.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) (fma.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) (fma.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))) #s(literal 1/2 binary32)) #s(literal 1/4 binary32)))))
	76.4%	(.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))))
	76.4%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
✓	76.5%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	20.3%	(.f32 u1 (+.f32 (sqrt.f32 #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (.f32 u1 (sqrt.f32 #s(literal 1/2 binary32))))))
	19.2%	(*.f32 u1 (sqrt.f32 #s(literal 1/2 binary32)))
	4.0%	(*.f32 u1 (neg.f32 (sqrt.f32 #s(literal 1/2 binary32))))
	74.1%	(sqrt.f32 (fma.f32 (*.f32 u1 u1) #s(literal 1/2 binary32) u1))
	64.1%	(sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal -1/2 binary32)) u1))
	74.0%	(sqrt.f32 (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) u1))
	19.2%	(sqrt.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))))
	36.9%	(sqrt.f32 (log.f32 (+.f32 #s(literal 1 binary32) u1)))
✓	65.6%	(sqrt.f32 u1)

Compiler

Compiled 2 627 to 1 109 computations (57.8% saved)

regimes254.0ms (2%)

Memory

-27.4MiB live, 371.5MiB allocated

Counts

82 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(*.f32 u1 (sqrt.f32 #s(literal 1/2 binary32)))
(*.f32 u1 (neg.f32 (sqrt.f32 #s(literal 1/2 binary32))))
(sqrt.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))))
(sqrt.f32 (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) u1))
(sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal -1/2 binary32)) u1))
(sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) #s(literal 1/2 binary32) u1))
(*.f32 (sqrt.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32))) (sqrt.f32 u1))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 u1) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(.f32 (sqrt.f32 u1) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)))
(fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1))
(.f32 u1 (+.f32 (sqrt.f32 #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (.f32 u1 (sqrt.f32 #s(literal 1/2 binary32))))))
(.f32 (+.f32 (sqrt.f32 #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (.f32 u1 (sqrt.f32 #s(literal 1/2 binary32))))) (neg.f32 u1))
(fma.f32 (sqrt.f32 u1) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))))) (sqrt.f32 u1))
(fma.f32 (sqrt.f32 u1) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2))) (sqrt.f32 u1))
(.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(/.f32 (sqrt.f32 (-.f32 (.f32 u1 u1) (.f32 #s(literal 1/4 binary32) (.f32 (.f32 u1 u1) (.f32 u1 u1))))) (sqrt.f32 (-.f32 u1 (.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)))))
(fma.f32 (.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1)) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1)))
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log.f32 (+.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 (sqrt.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (fma.f32 (.f32 (sqrt.f32 u1) u1) #s(literal 1/4 binary32) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)))
(.f32 (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))))
(.f32 (sqrt.f32 u1) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 (.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(.f32 (sqrt.f32 u1) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 (.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 (fma.f32 (neg.f32 (.f32 u1 u1)) (/.f32 #s(literal 1 binary32) u1) (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/3 binary32)) (neg.f32 (.f32 u1 (.f32 u1 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) u1)) (neg.f32 (.f32 u1 (.f32 u1 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (neg.f32 u1)) (cos.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (PI.f32)))) (-.f32 (.f32 #s(literal 1/4 binary32) (*.f32 u1 (sqrt.f32 u1))) (sqrt.f32 u1)))
(fma.f32 (.f32 u2 u2) (fma.f32 (sqrt.f32 u1) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (sqrt.f32 u1) (.f32 u2 (.f32 u2 (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))) (sqrt.f32 u1))
(.f32 (fma.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)) (.f32 #s(literal 1/4 binary32) (.f32 u1 (sqrt.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 u1 u1) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (*.f32 u1 u1)))))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 (fma.f32 (.f32 u1 u1) (fma.f32 u1 (.f32 u1 #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal 1/3 binary32)) #s(literal -1/2 binary32)) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (/.f32 (sqrt.f32 (-.f32 (.f32 u1 u1) (.f32 #s(literal 1/4 binary32) (.f32 (.f32 u1 u1) (.f32 u1 u1))))) (sqrt.f32 (-.f32 u1 (.f32 #s(literal 1/2 binary32) (.f32 u1 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)) (.f32 (neg.f32 u1) (fma.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))) (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 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)))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.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 u1) (fma.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) #s(literal 1/2 binary32) (-.f32 #s(literal 1/2 binary32) (fma.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)))))
(.f32 (sqrt.f32 u1) (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal 1/3 binary32)) #s(literal -1/2 binary32)) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal 1/3 binary32)) #s(literal -1/2 binary32)) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (fma.f32 u1 u1 #s(literal -1 binary32)))) (log1p.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 (sqrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 (.f32 u1 u1)))))) (log1p.f32 (.f32 u1 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) #s(literal 1 binary32)))) (log1p.f32 (.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (pow.f32 (sqrt.f32 (log1p.f32 u1)) #s(literal 2 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))) (.f32 (/.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (/.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (/.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
(.f32 (sqrt.f32 (neg.f32 (fma.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log1p.f32 u1)) (log1p.f32 (.f32 u1 (neg.f32 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (fma.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (pow.f32 (log1p.f32 u1) #s(literal -2 binary32)) (log1p.f32 (.f32 u1 (neg.f32 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 u1) (/.f32 (fma.f32 (-.f32 #s(literal 1/4 binary32) (.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))))) (fma.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) (fma.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) #s(literal 1/2 binary32)) #s(literal 1/4 binary32)) (.f32 (fma.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) (neg.f32 (+.f32 #s(literal 1/8 binary32) (pow.f32 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) #s(literal -1/2 binary32)) #s(literal 3 binary32)))))) (.f32 (fma.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) (fma.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) (fma.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))) #s(literal 1/2 binary32)) #s(literal 1/4 binary32)))))
(.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

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

Calls

10 calls:

43.0ms	u1
37.0ms	cosTheta_i
23.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
22.0ms	(-.f32 #s(literal 1 binary32) u1)
22.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)

Results

Accuracy	Segments	Branch
99.4%	1	`cosTheta_i`
99.4%	1	`u1`
99.4%	1	`u2`
99.4%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
99.4%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
99.4%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
99.4%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
99.4%	1	`(-.f32 #s(literal 1 binary32) u1)`
99.4%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
99.4%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes194.0ms (1.5%)

Memory

23.2MiB live, 219.6MiB allocated

Counts

55 → 2

Calls

Call 1

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

Outputs

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

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

Calls

10 calls:

37.0ms	(-.f32 #s(literal 1 binary32) u1)
33.0ms	u1
20.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
17.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
16.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)

Results

Accuracy	Segments	Branch
93.8%	1	`cosTheta_i`
98.7%	2	`u1`
98.8%	2	`u2`
99.0%	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)))`
98.7%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
98.7%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
98.7%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
98.7%	2	`(-.f32 #s(literal 1 binary32) u1)`
98.8%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
98.8%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes164.0ms (1.3%)

Memory

-22.8MiB live, 134.7MiB allocated

Counts

34 → 2

Calls

Call 1

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

Outputs

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

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

Calls

9 calls:

42.0ms	u2
34.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
29.0ms	u1
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)))
9.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)

Results

Accuracy	Segments	Branch
98.3%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
98.3%	2	`(-.f32 #s(literal 1 binary32) u1)`
98.3%	2	`u1`
98.3%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
98.3%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
98.6%	2	`u2`
98.6%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
98.6%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
98.7%	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 71 to 61 computations (14.1% saved)

regimes92.0ms (0.7%)

Memory

27.4MiB live, 105.9MiB allocated

Counts

30 → 2

Calls

Call 1

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

Outputs

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

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

Calls

9 calls:

18.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
16.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
8.0ms	u1
8.0ms	u2
8.0ms	(-.f32 #s(literal 1 binary32) u1)

Results

Accuracy	Segments	Branch
96.7%	2	`u1`
96.7%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
96.7%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
96.7%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
96.7%	2	`(-.f32 #s(literal 1 binary32) u1)`
97.8%	2	`u2`
97.8%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
97.8%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
97.2%	2	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`

Compiler

Compiled 71 to 61 computations (14.1% saved)

regimes210.0ms (1.6%)

Memory

-11.2MiB live, 113.1MiB allocated

Counts

29 → 2

Calls

Call 1

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

Outputs

(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))

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

Calls

10 calls:

59.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
49.0ms	cosTheta_i
44.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
9.0ms	u2
8.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)

Results

Accuracy	Segments	Branch
95.3%	2	`u1`
95.3%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
95.3%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
95.3%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
95.3%	2	`(-.f32 #s(literal 1 binary32) u1)`
87.7%	1	`cosTheta_i`
95.8%	2	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
95.9%	2	`u2`
95.9%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
95.9%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes130.0ms (1%)

Memory

-20.1MiB live, 99.7MiB allocated

Counts

26 → 2

Calls

Call 1

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

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

Calls

9 calls:

40.0ms	u2
27.0ms	u1
19.0ms	(-.f32 #s(literal 1 binary32) u1)
8.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
7.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
91.2%	2	`u1`
91.2%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
91.2%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
91.2%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
91.2%	2	`(-.f32 #s(literal 1 binary32) u1)`
92.1%	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)))`
92.7%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
92.7%	2	`u2`
92.7%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 71 to 61 computations (14.1% saved)

regimes142.0ms (1.1%)

Memory

38.8MiB live, 116.0MiB allocated

Counts

25 → 2

Calls

Call 1

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

Outputs

(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))

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

Calls

10 calls:

69.0ms	u2
15.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
7.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
7.0ms	cosTheta_i
7.0ms	u1

Results

Accuracy	Segments	Branch
83.1%	1	`cosTheta_i`
88.5%	2	`u1`
88.5%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
88.5%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
88.5%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
88.5%	2	`(-.f32 #s(literal 1 binary32) u1)`
88.5%	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)))`
88.0%	2	`u2`
87.9%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
88.0%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes210.0ms (1.6%)

Memory

-29.1MiB live, 129.3MiB allocated

Counts

24 → 1

Calls

Call 1

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

Outputs

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

Calls

10 calls:

69.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
62.0ms	u2
9.0ms	cosTheta_i
7.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
7.0ms	(-.f32 #s(literal 1 binary32) u1)

Results

Accuracy	Segments	Branch
82.6%	1	`cosTheta_i`
82.6%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
82.6%	1	`u2`
82.6%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
82.6%	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)))`
82.6%	1	`u1`
82.6%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
82.6%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
82.6%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
82.6%	1	`(-.f32 #s(literal 1 binary32) u1)`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes205.0ms (1.6%)

Memory

-2.0MiB live, 115.0MiB allocated

Counts

19 → 1

Calls

Call 1

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

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

Calls

10 calls:

71.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
65.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
29.0ms	u2
6.0ms	(-.f32 #s(literal 1 binary32) u1)
6.0ms	u1

Results

Accuracy	Segments	Branch
79.4%	1	`u2`
79.4%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
79.4%	1	`(-.f32 #s(literal 1 binary32) u1)`
79.4%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
79.4%	1	`cosTheta_i`
79.4%	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)))`
79.4%	1	`u1`
79.4%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
79.4%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
79.4%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes120.0ms (0.9%)

Memory

18.7MiB live, 101.2MiB allocated

Counts

18 → 2

Calls

Call 1

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

Outputs

(fma.f32 (sqrt.f32 u1) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2))) (sqrt.f32 u1))

(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))

Calls

10 calls:

39.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
38.0ms	u1
6.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
6.0ms	cosTheta_i
5.0ms	u2

Results

Accuracy	Segments	Branch
80.7%	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)))`
77.1%	1	`cosTheta_i`
80.4%	2	`u1`
80.4%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
80.4%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
80.4%	2	`u2`
80.4%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
80.4%	2	`(-.f32 #s(literal 1 binary32) u1)`
80.4%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
80.4%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes6.0ms (0%)

Memory

11.5MiB live, 11.5MiB allocated

Counts

17 → 2

Calls

Call 1

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

Outputs

(fma.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))) (sqrt.f32 u1))

(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
80.7%	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 16 to 14 computations (12.5% saved)

regimes52.0ms (0.4%)

Memory

-26.7MiB live, 11.3MiB allocated

Counts

16 → 2

Calls

Call 1

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

Outputs

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

(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))

Calls

1 calls:

51.0ms

(*.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
80.6%	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 16 to 14 computations (12.5% saved)

regimes66.0ms (0.5%)

Memory

14.3MiB live, 90.7MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(*.f32 u1 (sqrt.f32 #s(literal 1/2 binary32)))
(*.f32 u1 (neg.f32 (sqrt.f32 #s(literal 1/2 binary32))))
(sqrt.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))))
(sqrt.f32 (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) u1))
(sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal -1/2 binary32)) u1))
(sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) #s(literal 1/2 binary32) u1))
(*.f32 (sqrt.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32))) (sqrt.f32 u1))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))

Outputs
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))

Calls

9 calls:

35.0ms	(-.f32 #s(literal 1 binary32) u1)
4.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
4.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
4.0ms	u2
4.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
77.1%	1	`u1`
77.1%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
77.1%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
77.1%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
77.1%	1	`(-.f32 #s(literal 1 binary32) u1)`
77.1%	1	`u2`
77.1%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
77.1%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
77.1%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`

Compiler

Compiled 71 to 61 computations (14.1% saved)

regimes48.0ms (0.4%)

Memory

20.4MiB live, 128.6MiB allocated

Counts

10 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(*.f32 u1 (sqrt.f32 #s(literal 1/2 binary32)))
(*.f32 u1 (neg.f32 (sqrt.f32 #s(literal 1/2 binary32))))
(sqrt.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))))
(sqrt.f32 (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) u1))
(sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal -1/2 binary32)) u1))
(sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) #s(literal 1/2 binary32) u1))
(*.f32 (sqrt.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32))) (sqrt.f32 u1))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))

Outputs
(sqrt.f32 (fma.f32 (*.f32 u1 u1) #s(literal 1/2 binary32) u1))

Calls

10 calls:

8.0ms	(-.f32 #s(literal 1 binary32) u1)
7.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
7.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
4.0ms	u2
4.0ms	cosTheta_i

Results

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

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes36.0ms (0.3%)

Memory

6.5MiB live, 86.5MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(*.f32 u1 (sqrt.f32 #s(literal 1/2 binary32)))
(*.f32 u1 (neg.f32 (sqrt.f32 #s(literal 1/2 binary32))))
(sqrt.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))))
(sqrt.f32 (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) u1))
(sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal -1/2 binary32)) u1))
(sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))

Outputs
(sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))

Calls

10 calls:

10.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
4.0ms	cosTheta_i
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	(-.f32 #s(literal 1 binary32) u1)

Results

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

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes26.0ms (0.2%)

Memory

-6.6MiB live, 72.3MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(*.f32 u1 (sqrt.f32 #s(literal 1/2 binary32)))
(*.f32 u1 (neg.f32 (sqrt.f32 #s(literal 1/2 binary32))))
(sqrt.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))))
(sqrt.f32 (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) u1))
(sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal -1/2 binary32)) u1))

Outputs
(sqrt.f32 (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) u1))

Calls

10 calls:

3.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
3.0ms	cosTheta_i
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	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
2.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
74.0%	1	`u2`
74.0%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
74.0%	1	`u1`
74.0%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
74.0%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
74.0%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
74.0%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
74.0%	1	`(-.f32 #s(literal 1 binary32) u1)`
74.0%	1	`cosTheta_i`
74.0%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes22.0ms (0.2%)

Memory

-20.5MiB live, 60.2MiB allocated

Accuracy

Total -19.8b remaining (-180.3%)

Threshold costs -19.8b (-180.3%)

Counts

4 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(*.f32 u1 (sqrt.f32 #s(literal 1/2 binary32)))
(*.f32 u1 (neg.f32 (sqrt.f32 #s(literal 1/2 binary32))))
(sqrt.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))))

Outputs
(sqrt.f32 u1)

Calls

10 calls:

3.0ms	u1
3.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
2.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
2.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
2.0ms	u2

Results

Accuracy	Segments	Branch
65.6%	1	`u1`
65.6%	1	`u2`
65.6%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
65.6%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
65.6%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
65.6%	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)))`
65.6%	1	`cosTheta_i`
65.6%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
65.6%	1	`(-.f32 #s(literal 1 binary32) u1)`
65.6%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`

Compiler

Compiled 75 to 64 computations (14.7% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.13033263385295868	0.13302969932556152

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.13033263385295868	0.13302969932556152

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.04747903347015381	0.048421915620565414

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0011556260287761688	0.0011676730355247855

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0016279886476695538	0.0018424501176923513

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9963715076446533	0.996618926525116

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.002091304399073124	0.0023032210301607847

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.002091304399073124	0.0023032210301607847

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.002091304399073124	0.0023032210301607847

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify14.0ms (0.1%)

Memory

-5.4MiB live, 33.7MiB allocated

Algorithm

1×	egg-herbie

Rules

54×	`*-commutative_binary32`
12×	`sub-neg_binary32`
12×	`+-commutative_binary32`
10×	`neg-sub0_binary32`
10×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	429
1	131	429
2	145	429
3	151	429
4	152	429

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 4429185/33554432 binary32)) (.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 u2 (.f32 u2 (.f32 #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 4429185/33554432 binary32)) (.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 6442451/134217728 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))) (.f32 (sqrt.f32 (.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 2491081/2147483648 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32)) (.f32 (sqrt.f32 (.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 7730941/4294967296 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32)) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 522453/524288 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32)) (.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 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 295279/134217728 binary32)) (fma.f32 (sqrt.f32 u1) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2))) (sqrt.f32 u1)) (.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #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 295279/134217728 binary32)) (fma.f32 (sqrt.f32 u1) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))))) (sqrt.f32 u1)) (.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #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 295279/134217728 binary32)) (.f32 (sqrt.f32 u1) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))) (.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) #s(literal 1/2 binary32) u1))
(sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))
(sqrt.f32 (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) u1))
(sqrt.f32 u1)

Outputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.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 (log1p.f32 (neg.f32 u1)))))
(if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 4429185/33554432 binary32)) (.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
(if (<=.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))) #s(literal 4429185/33554432 binary32)) (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) (.f32 (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 4429185/33554432 binary32)) (.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
(if (<=.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))) #s(literal 4429185/33554432 binary32)) (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (.f32 (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 6442451/134217728 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))) (.f32 (sqrt.f32 (.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 6442451/134217728 binary32)) (.f32 (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32))))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 2491081/2147483648 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32)) (.f32 (sqrt.f32 (.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 2491081/2147483648 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32))))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 7730941/4294967296 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32)) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 7730941/4294967296 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 u1)))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 522453/524288 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32)) (.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 522453/524288 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(.f32 (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))
(.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 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 295279/134217728 binary32)) (fma.f32 (sqrt.f32 u1) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2))) (sqrt.f32 u1)) (.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32)))
(if (<=.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))) #s(literal 295279/134217728 binary32)) (fma.f32 (sqrt.f32 u1) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2))) (sqrt.f32 u1)) (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #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 295279/134217728 binary32)) (fma.f32 (sqrt.f32 u1) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))))) (sqrt.f32 u1)) (.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32)))
(if (<=.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))) #s(literal 295279/134217728 binary32)) (fma.f32 (sqrt.f32 u1) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))))) (sqrt.f32 u1)) (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #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 295279/134217728 binary32)) (.f32 (sqrt.f32 u1) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))) (.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32)))
(if (<=.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))) #s(literal 295279/134217728 binary32)) (.f32 (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 u1)) (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) #s(literal 1/2 binary32) u1))
(sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))
(sqrt.f32 (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) u1))
(sqrt.f32 (*.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32))))
(sqrt.f32 u1)

soundness1.3s (9.8%)

Memory

20.4MiB live, 1 324.3MiB allocated

Rules

12 044×	`accelerator-lowering-fma.f32`
12 044×	`accelerator-lowering-fma.f64`
11 020×	`accelerator-lowering-fma.f32`
11 020×	`accelerator-lowering-fma.f64`
9 270×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	289	1737
1	858	1458
2	2728	1335
3	6882	1298
0	8134	1246
0	642	5111
1	2009	4422
2	7058	4403
0	8020	4192
0	54	166
1	275	157
2	1970	154
0	8474	131
0	41	170
1	197	169
2	1364	161
0	9100	131
0	13	33
1	56	33
2	311	33
3	2333	31
0	8636	23
0	49	219
1	246	166
2	1785	158
0	8319	148
0	884	6992
1	2758	6139
0	8447	5789

Stop Event

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

Compiler

Compiled 1 200 to 703 computations (41.4% saved)

preprocess108.0ms (0.8%)

Memory

1.0MiB live, 208.7MiB allocated

Remove

(abs cosTheta_i)

(abs u2)

Compiler

Compiled 1 196 to 464 computations (61.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze311.0ms (2.4%)

sample2.1s (16.2%)

preprocess43.0ms (0.3%)

explain172.0ms (1.3%)

eval0.0ms (0%)

prune10.0ms (0.1%)

simplify6.0ms (0%)

localize49.0ms (0.4%)

series43.0ms (0.3%)

rewrite252.0ms (1.9%)

simplify323.0ms (2.5%)

eval39.0ms (0.3%)

prune93.0ms (0.7%)

simplify642.0ms (4.9%)

localize223.0ms (1.7%)

series193.0ms (1.5%)

rewrite452.0ms (3.5%)

simplify540.0ms (4.2%)

eval162.0ms (1.2%)

prune175.0ms (1.3%)

simplify246.0ms (1.9%)

localize239.0ms (1.8%)

series54.0ms (0.4%)

rewrite357.0ms (2.8%)

simplify411.0ms (3.2%)

eval400.0ms (3.1%)

prune456.0ms (3.5%)

simplify445.0ms (3.4%)

localize224.0ms (1.7%)

series26.0ms (0.2%)

rewrite358.0ms (2.8%)

simplify357.0ms (2.8%)

eval79.0ms (0.6%)

prune123.0ms (0.9%)

regimes254.0ms (2%)

regimes194.0ms (1.5%)

regimes164.0ms (1.3%)

regimes92.0ms (0.7%)

regimes210.0ms (1.6%)

regimes130.0ms (1%)

regimes142.0ms (1.1%)

regimes210.0ms (1.6%)

regimes205.0ms (1.6%)

regimes120.0ms (0.9%)

regimes6.0ms (0%)

regimes52.0ms (0.4%)

regimes66.0ms (0.5%)

regimes48.0ms (0.4%)

regimes36.0ms (0.3%)

regimes26.0ms (0.2%)

regimes22.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify14.0ms (0.1%)

soundness1.3s (9.8%)

preprocess108.0ms (0.8%)

end0.0ms (0%)

Profiling