Metrics for Beckmann Sample, near normal, slope

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

analyze344.0ms (3.8%)

Memory

15.1MiB live, 440.7MiB 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)

sample2.2s (24.6%)

Memory

22.3MiB live, 2 851.9MiB allocated

Samples

1.7s	8 256×	0	valid
1.0ms	4×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

const: 357.0ms (24.8% of total)

ival-log: 229.0ms (15.9% of total)

ival-<=: 165.0ms (11.4% of total)

ival-mult: 158.0ms (11% of total)

ival-neg: 155.0ms (10.8% of total)

ival-sub: 108.0ms (7.5% of total)

ival-cos: 89.0ms (6.2% of total)

ival-sqrt: 54.0ms (3.7% of total)

ival-pi: 50.0ms (3.5% of total)

ival->: 32.0ms (2.2% of total)

ival-and: 31.0ms (2.2% of total)

exact: 10.0ms (0.7% of total)

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

Bogosity

explain300.0ms (3.3%)

Memory

4.6MiB live, 201.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
197	2	(0.9999672770500183 0.0038818111643195152 1.2232791668509435e-8)	3	(0.9999169707298279 0.029142053797841072 0.0005945155862718821)	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
1	0	-	1	(0.9999135732650757 8.47305781093155e-10 0.7321707606315613)	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
0	0	-	0	-	`(-.f32 #s(literal 1 binary32) u1)`
0	0	-	0	-	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
0	0	-	0	-	`u2`
0	0	-	0	-	`(PI.f32)`
0	0	-	0	-	`#s(literal 2 binary32)`
0	0	-	0	-	`#s(literal 1 binary32)`
0	0	-	0	-	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
0	0	-	0	-	`u1`
0	0	-	0	-	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
0	0	-	0	-	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
0	0	-	0	-	`(*.f32 #s(literal 2 binary32) (PI.f32))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f32`	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`	sensitivity	196	17

Confusion

	Predicted +	Predicted -
+	188	1
-	8	59

Precision

0.9591836734693877

Recall

0.9947089947089947

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	188	1	0
-	8	16	43

Precision?

0.8873239436619719

Recall?

1.0

Freqs

test

number	freq
0	60
1	196

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

50.0ms

512×

valid

Compiler

Compiled 117 to 46 computations (60.7% saved)

Precisions

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

ival-mult: 9.0ms (27% of total)

ival-log: 8.0ms (24% of total)

ival-cos: 6.0ms (18% of total)

ival-sqrt: 3.0ms (9% of total)

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

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

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

exact: 1.0ms (3% of total)

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

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

preprocess48.0ms (0.5%)

Memory

-15.3MiB live, 30.3MiB 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
0	22	13
1	34	13
2	46	13
3	55	13
4	63	13
5	75	13
6	89	13
7	97	13
8	100	13
0	100	12

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs u2)

(abs cosTheta_i)

Compiler

Compiled 13 to 14 computations (-7.7% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.9%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Compiler

Compiled 13 to 14 computations (-7.7% saved)

simplify6.0ms (0.1%)

Memory

2.9MiB live, 2.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
cost-diff	0	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
cost-diff	0	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff	32	(log.f32 (-.f32 #s(literal 1 binary32) u1))

Rules

40×	`lower-*.f64`
34×	`lower-*.f32`
32×	`lower-+.f64`
32×	`lower-+.f32`
24×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	50
0	22	50
1	34	50
2	46	50
3	55	50
4	63	50
5	75	50
6	89	50
7	97	50
8	100	50
0	100	46

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize81.0ms (0.9%)

Memory

-8.7MiB live, 29.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.10546875	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
accuracy	0.13671875	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy	0.2890625	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	14.095433633617281	(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: 17.0ms

ival-mult: 5.0ms (29.1% of total)

ival-log: 4.0ms (23.3% of total)

ival-cos: 3.0ms (17.4% of total)

ival-sqrt: 2.0ms (11.6% of total)

ival-pi: 1.0ms (5.8% of total)

ival-sub: 1.0ms (5.8% of total)

ival-neg: 1.0ms (5.8% of total)

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

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

exact: 0.0ms (0% of total)

series73.0ms (0.8%)

Memory

28.6MiB live, 64.1MiB allocated

Counts

5 → 72

Calls

Call 1

Inputs
#s(alt (log.f32 (-.f32 #s(literal 1 binary32) u1)) (patch (log.f32 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())
#s(alt (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())
#s(alt (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (patch (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #<representation binary32>) () ())
#s(alt (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) (patch (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())
#s(alt (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) (patch (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #<representation binary32>) () ())

Outputs
#s(alt (* -1 u1) (taylor 0 u1) (#s(alt (log.f32 (-.f32 #s(literal 1 binary32) u1)) (patch (log.f32 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (* u1 (- (* -1/2 u1) 1)) (taylor 0 u1) (#s(alt (log.f32 (-.f32 #s(literal 1 binary32) u1)) (patch (log.f32 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1)) (taylor 0 u1) (#s(alt (log.f32 (-.f32 #s(literal 1 binary32) u1)) (patch (log.f32 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1)) (taylor 0 u1) (#s(alt (log.f32 (-.f32 #s(literal 1 binary32) u1)) (patch (log.f32 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(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))))))))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(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))))))))))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt u1) (pow (sqrt -1) 2)) (taylor 0 u1) (#s(alt (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (patch (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2))) (taylor 0 u1) (#s(alt (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (patch (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1))))) (taylor 0 u1) (#s(alt (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (patch (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #<representation binary32>) () ())) ())
#s(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)))))))) (taylor 0 u1) (#s(alt (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (patch (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #<representation binary32>) () ())) ())
#s(alt u1 (taylor 0 u1) (#s(alt (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) (patch (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 (* 1/2 u1))) (taylor 0 u1) (#s(alt (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) (patch (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1))))) (taylor 0 u1) (#s(alt (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) (patch (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))) (taylor 0 u1) (#s(alt (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) (patch (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ 1 u1)))) (taylor inf u1) (#s(alt (log.f32 (-.f32 #s(literal 1 binary32) u1)) (patch (log.f32 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1)) (taylor inf u1) (#s(alt (log.f32 (-.f32 #s(literal 1 binary32) u1)) (patch (log.f32 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))) (taylor inf u1) (#s(alt (log.f32 (-.f32 #s(literal 1 binary32) u1)) (patch (log.f32 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1)) (taylor inf u1) (#s(alt (log.f32 (-.f32 #s(literal 1 binary32) u1)) (patch (log.f32 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))) (taylor inf u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(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))))))) (taylor inf u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(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)))))))) (taylor inf u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
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Calls

6 calls:

Time	Variable		Point	Expression
54.0ms	u2	@	inf	((log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (* 2 (PI)) u2))
7.0ms	u2	@	-inf	((log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (* 2 (PI)) u2))
3.0ms	u2	@	0	((log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (* 2 (PI)) u2))
3.0ms	u1	@	inf	((log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (* 2 (PI)) u2))
2.0ms	u1	@	-inf	((log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (* 2 (PI)) u2))

simplify218.0ms (2.4%)

Memory

0.7MiB live, 155.6MiB allocated

Algorithm

1×	egg-herbie

Rules

9 270×	`lower-fma.f64`
9 270×	`lower-fma.f32`
5 620×	`lower-*.f64`
5 620×	`lower-*.f32`
3 580×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	289	1737
1	858	1458
2	2729	1335
3	6880	1298
0	8135	1246

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 71

Calls

Call 1

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

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

rewrite195.0ms (2.2%)

Memory

2.5MiB live, 200.1MiB allocated

Rules

3 444×	`lower-*.f64`
3 438×	`lower-*.f32`
2 098×	`lower-fma.f64`
2 098×	`lower-fma.f32`
2 048×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	33
0	22	33
1	65	33
2	320	33
3	2355	31
0	8649	23

Stop Event

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

Counts

5 → 228

Calls

Call 1

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

Outputs
(log.f32 (-.f32 #s(literal 1 binary32) u1))
(*.f32 #s(literal -1 binary32) (neg.f32 (log1p.f32 u1)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) #s(literal 2 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) (neg.f32 (+.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 2 binary32)))) (neg.f32 (+.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))) (log1p.f32 (fma.f32 u1 u1 u1)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) #s(literal 2 binary32)) (fma.f32 (log1p.f32 u1) (log1p.f32 u1) (.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 2 binary32)) (*.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))) (log1p.f32 (fma.f32 u1 u1 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 (-.f32 (pow.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) #s(literal 2 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (+.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 2 binary32))) (+.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))) (log1p.f32 (fma.f32 u1 u1 u1))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) #s(literal 2 binary32)) (fma.f32 (log1p.f32 u1) (log1p.f32 u1) (.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))))
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(pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/4 binary32)) #s(literal 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 (log1p.f32 u1) #s(literal 1/2 binary32))
(exp.f32 (fma.f32 (log.f32 (neg.f32 (log1p.f32 u1))) #s(literal 1/4 binary32) (*.f32 (log.f32 (neg.f32 (log1p.f32 u1))) #s(literal 1/4 binary32))))
(exp.f32 (fma.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32) (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32))))
(exp.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))))
(exp.f32 (.f32 (.f32 (log.f32 (neg.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 2 binary32))) #s(literal 1/4 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/4 binary32))) #s(literal 2 binary32)))
(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)))
(log.f32 (exp.f32 (neg.f32 (log1p.f32 u1))))
(*.f32 (exp.f32 (log.f32 #s(literal -1 binary32))) (exp.f32 (log.f32 (log1p.f32 u1))))
(*.f32 (exp.f32 (log.f32 (log1p.f32 u1))) (exp.f32 (log.f32 #s(literal -1 binary32))))
(*.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log1p.f32 u1)))
(*.f32 (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal -2 binary32)))
(*.f32 #s(literal -1 binary32) (log1p.f32 u1))
(*.f32 (log1p.f32 u1) #s(literal -1 binary32))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (log1p.f32 u1))
(/.f32 (-.f32 (.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))) (pow.f32 (log1p.f32 u1) #s(literal 4 binary32)))
(/.f32 (exp.f32 (log.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (exp.f32 (log.f32 (log1p.f32 u1))))
(/.f32 (exp.f32 (log.f32 (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 3 binary32)))) (exp.f32 (log.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) (neg.f32 (log1p.f32 u1)))
(/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (log1p.f32 u1))
(/.f32 (pow.f32 (neg.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 (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 3 binary32)) (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))
(/.f32 (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))
(/.f32 (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)) (*.f32 #s(literal 0 binary32) (neg.f32 (log1p.f32 u1)))))))
(/.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (log1p.f32 u1) (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (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 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))))
(-.f32 (log.f32 (.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (log1p.f32 (fma.f32 u1 u1 u1)))
(-.f32 (log.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32))))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1))))
(-.f32 (log.f32 (.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (+.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 binary32)) #s(literal 1 binary32)))) (log1p.f32 (.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))
(-.f32 (log.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)))))
(-.f32 (log.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))
(-.f32 (log.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32))))) (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(-.f32 (log.f32 (.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 binary32)) #s(literal 1 binary32)))) (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (fma.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(-.f32 (log.f32 (*.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)))) (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))))
(-.f32 (/.f32 #s(literal 0 binary32) (log1p.f32 u1)) (log1p.f32 u1))
(-.f32 (/.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (fabs.f32 (log1p.f32 u1)))
(-.f32 (log1p.f32 (neg.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)))) (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(-.f32 (log1p.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 binary32))) (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (fma.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(-.f32 (log.f32 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))) (log.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(-.f32 (log.f32 (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)))) (log.f32 (+.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 3 binary32)))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))))
(-.f32 (neg.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1))) (neg.f32 (log1p.f32 u1)))
(-.f32 (neg.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32)))) (neg.f32 (log1p.f32 (fma.f32 u1 u1 u1))))
(-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (+.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))
(-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))))
(-.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))) (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)))))
(-.f32 #s(literal 0 binary32) (log1p.f32 u1))
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))
(fma.f32 (exp.f32 (log.f32 #s(literal -1 binary32))) (exp.f32 (log.f32 (log1p.f32 u1))) #s(literal 0 binary32))
(fma.f32 (exp.f32 (log.f32 (log1p.f32 u1))) (exp.f32 (log.f32 #s(literal -1 binary32))) #s(literal 0 binary32))
(fma.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log1p.f32 u1)) #s(literal 0 binary32))
(fma.f32 (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal -2 binary32)) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))
(fma.f32 #s(literal -1 binary32) (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) #s(literal 1 binary32))))
(fma.f32 #s(literal -1 binary32) (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))) (log1p.f32 (fma.f32 u1 u1 u1)))
(fma.f32 #s(literal -1 binary32) (neg.f32 (log1p.f32 u1)) (neg.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1))))
(fma.f32 #s(literal -1 binary32) (log1p.f32 u1) #s(literal 0 binary32))
(fma.f32 (log1p.f32 u1) #s(literal -1 binary32) #s(literal 0 binary32))
(pow.f32 (/.f32 (log1p.f32 u1) (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) #s(literal -1 binary32))
(+.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))))) (log1p.f32 (*.f32 u1 u1)))
(+.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))))) (log1p.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32)))))
(+.f32 (log.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))))) (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))))
(+.f32 (log.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 9 binary32))))) (log1p.f32 (+.f32 (pow.f32 u1 #s(literal 6 binary32)) (pow.f32 u1 #s(literal 3 binary32)))))
(+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (log.f32 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))))
(+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (log.f32 (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)))))
(+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(+.f32 (neg.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1))) (log1p.f32 u1))
(+.f32 (neg.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32)))) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) #s(literal 1 binary32))))
(+.f32 (neg.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1)))
(+.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (neg.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32)))))
(+.f32 #s(literal 0 binary32) (neg.f32 (log1p.f32 u1)))
(+.f32 (neg.f32 (log1p.f32 u1)) #s(literal 0 binary32))
(+.f32 (log1p.f32 u1) (neg.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1))))
(exp.f32 (log.f32 (neg.f32 (log1p.f32 u1))))
(neg.f32 (log1p.f32 u1))
(.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) (cbrt.f32 (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) #s(literal 1 binary32)) (PI.f32))
(.f32 (.f32 u2 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))) (sqrt.f32 (PI.f32)))
(.f32 (.f32 u2 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(.f32 (.f32 u2 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (*.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(.f32 (.f32 u2 #s(literal 1 binary32)) (*.f32 (PI.f32) #s(literal 2 binary32)))
(.f32 (.f32 (sqrt.f32 (PI.f32)) u2) (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)))
(.f32 (.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (sqrt.f32 (PI.f32)) u2))
(.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) u2))
(.f32 (.f32 u2 #s(literal 2 binary32)) (PI.f32))
(.f32 (.f32 u2 (PI.f32)) #s(literal 2 binary32))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 (sqrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) u2))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (*.f32 u2 #s(literal 2 binary32))))
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (*.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) u2))
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (*.f32 u2 #s(literal 2 binary32))))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 u2 #s(literal 2 binary32))))
(.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 1 binary32))
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u2)
(.f32 (PI.f32) (.f32 #s(literal 1 binary32) (*.f32 u2 #s(literal 2 binary32))))
(.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(.f32 #s(literal 1 binary32) (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))

eval63.0ms (0.7%)

Memory: -13.6MiB live, 69.8MiB allocated
Compiler: Compiled 6 566 to 1 408 computations (78.6% saved)

prune81.0ms (0.9%)

Memory

9.6MiB live, 87.7MiB allocated

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	290	9	299
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	290	10	300

Accuracy

91.7%

Counts

300 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	45.4%	(.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)))
▶	45.0%	(.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)))
	28.9%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)))) (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	52.8%	(.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	58.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))))
✓	57.9%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	59.7%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	76.5%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	44.9%	(.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)))
▶	3.5%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Compiler

Compiled 319 to 292 computations (8.5% saved)

simplify23.0ms (0.3%)

Memory

10.0MiB live, 10.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
cost-diff	0	(sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))))
cost-diff	0	(.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff	6464	(+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))
cost-diff	0	(/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1)))
cost-diff	0	(.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)))
cost-diff	128	(neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))
cost-diff	3488	(sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))
cost-diff	0	(log1p.f32 u1)
cost-diff	0	(pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32))
cost-diff	0	(.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)))
cost-diff	6144	(pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32))
cost-diff	0	(sqrt.f32 u1)
cost-diff	0	(neg.f32 (sqrt.f32 u1))
cost-diff	0	#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
cost-diff	0	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff	0	#s(approx (log (- 1 u1)) (neg.f32 u1))
cost-diff	0	(neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))
cost-diff	0	(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))
cost-diff	0	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Rules

260×	`lower-*.f64`
246×	`lower-*.f32`
116×	`times-frac`
102×	`associate-l`
94×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	310
0	69	290
1	102	278
2	149	275
3	197	275
4	231	275
5	274	275
6	327	275
7	368	275
8	441	275
9	441	275
10	498	275
11	511	275
12	516	275
13	527	275
14	527	275
0	527	269

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize150.0ms (1.7%)

Memory

-5.0MiB live, 109.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.10546875	(sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))))
accuracy	0.13671875	(.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy	0.2890625	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	15.821573758782854	(log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
accuracy	0.2890625	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	0.41015625	(pow.f32 (log1p.f32 u1) #s(literal 2 binary32))
accuracy	0.46322250976844204	(/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1)))
accuracy	17.20678658350813	(log1p.f32 u1)
accuracy	0.12109375	(.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)))
accuracy	0.2890625	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	0.5091400390737681	(pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32))
accuracy	29.867504107567164	(log1p.f32 u1)
accuracy	0.08982169311272992	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
accuracy	0.13671875	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy	0.2890625	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	30.89350645530856	#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
accuracy	0.10546875	(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))
accuracy	0.13671875	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy	0.2890625	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	8.18450441022629	#s(approx (log (- 1 u1)) (neg.f32 u1))

Samples

115.0ms

256×

valid

Compiler

Compiled 320 to 37 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 96.0ms

ival-mult: 29.0ms (30.1% of total)

ival-pow2: 27.0ms (28% of total)

ival-pow: 10.0ms (10.4% of total)

ival-log: 7.0ms (7.3% of total)

ival-sqrt: 7.0ms (7.3% of total)

ival-neg: 5.0ms (5.2% of total)

ival-cos: 3.0ms (3.1% of total)

ival-log1p: 2.0ms (2.1% of total)

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

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

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

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

exact: 1.0ms (1% of total)

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

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

series172.0ms (1.9%)

Memory

-11.1MiB live, 111.0MiB allocated

Counts

23 → 336

Calls

Call 1

Inputs
#s(alt (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())
#s(alt (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (patch (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #<representation binary32>) () ())
#s(alt (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (patch (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #<representation binary32>) () ())
#s(alt #s(approx (log (- 1 u1)) (neg.f32 u1)) (patch #s(approx (log (- 1 u1)) (neg.f32 u1)) #<representation binary32>) () ())
#s(alt (.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())
#s(alt #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (patch #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #<representation binary32>) () ())
#s(alt (neg.f32 (sqrt.f32 u1)) (patch (neg.f32 (sqrt.f32 u1)) #<representation binary32>) () ())
#s(alt (sqrt.f32 u1) (patch (sqrt.f32 u1) #<representation binary32>) () ())
#s(alt (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (patch (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) #<representation binary32>) () ())
#s(alt (.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))) (patch (.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))) #<representation binary32>) () ())
#s(alt (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) (patch (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #<representation binary32>) () ())
#s(alt (log1p.f32 u1) (patch (log1p.f32 u1) #<representation binary32>) () ())
#s(alt (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (patch (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) #<representation binary32>) () ())
#s(alt (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) (patch (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) #<representation binary32>) () ())
#s(alt (.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))) (patch (.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))) #<representation binary32>) () ())
#s(alt (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) (patch (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) #<representation binary32>) () ())
#s(alt (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))) (patch (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))) #<representation binary32>) () ())
#s(alt (.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())
#s(alt (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (patch (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) #<representation binary32>) () ())
#s(alt (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (patch (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) #<representation binary32>) () ())
#s(alt (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) (patch (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #<representation binary32>) () ())
#s(alt (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (patch (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #<representation binary32>) () ())
#s(alt (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (patch (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #<representation binary32>) () ())

Outputs
#s(alt (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(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))))))))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(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))))))))))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt u1) (pow (sqrt -1) 2)) (taylor 0 u1) (#s(alt (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (patch (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2))) (taylor 0 u1) (#s(alt (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (patch (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1))))) (taylor 0 u1) (#s(alt (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (patch (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #<representation binary32>) () ())) ())
#s(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)))))))) (taylor 0 u1) (#s(alt (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (patch (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #<representation binary32>) () ())) ())
#s(alt u1 (taylor 0 u1) (#s(alt (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (patch (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 (* 1/2 u1))) (taylor 0 u1) (#s(alt (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (patch (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1))))) (taylor 0 u1) (#s(alt (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (patch (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))) (taylor 0 u1) (#s(alt (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (patch (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (* -1 u1) (taylor 0 u1) (#s(alt #s(approx (log (- 1 u1)) (neg.f32 u1)) (patch #s(approx (log (- 1 u1)) (neg.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (* u1 (- (* -1/2 u1) 1)) (taylor 0 u1) (#s(alt #s(approx (log (- 1 u1)) (neg.f32 u1)) (patch #s(approx (log (- 1 u1)) (neg.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1)) (taylor 0 u1) (#s(alt #s(approx (log (- 1 u1)) (neg.f32 u1)) (patch #s(approx (log (- 1 u1)) (neg.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1)) (taylor 0 u1) (#s(alt #s(approx (log (- 1 u1)) (neg.f32 u1)) (patch #s(approx (log (- 1 u1)) (neg.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (taylor 0 u1) (#s(alt (.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) (taylor 0 u1) (#s(alt (.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(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))))))))) (taylor 0 u1) (#s(alt (.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(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))))))))))) (taylor 0 u1) (#s(alt (.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt u1) (pow (sqrt -1) 2)) (taylor 0 u1) (#s(alt #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (patch #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2))) (taylor 0 u1) (#s(alt #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (patch #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1))))) (taylor 0 u1) (#s(alt #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (patch #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #<representation binary32>) () ())) ())
#s(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)))))))) (taylor 0 u1) (#s(alt #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (patch #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (* -1 (sqrt u1)) (taylor 0 u1) (#s(alt (neg.f32 (sqrt.f32 u1)) (patch (neg.f32 (sqrt.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (* -1 (sqrt u1)) (taylor 0 u1) (#s(alt (neg.f32 (sqrt.f32 u1)) (patch (neg.f32 (sqrt.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (* -1 (sqrt u1)) (taylor 0 u1) (#s(alt (neg.f32 (sqrt.f32 u1)) (patch (neg.f32 (sqrt.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (* -1 (sqrt u1)) (taylor 0 u1) (#s(alt (neg.f32 (sqrt.f32 u1)) (patch (neg.f32 (sqrt.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (sqrt u1) (taylor 0 u1) (#s(alt (sqrt.f32 u1) (patch (sqrt.f32 u1) #<representation binary32>) () ())) ())
#s(alt (sqrt u1) (taylor 0 u1) (#s(alt (sqrt.f32 u1) (patch (sqrt.f32 u1) #<representation binary32>) () ())) ())
#s(alt (sqrt u1) (taylor 0 u1) (#s(alt (sqrt.f32 u1) (patch (sqrt.f32 u1) #<representation binary32>) () ())) ())
#s(alt (sqrt u1) (taylor 0 u1) (#s(alt (sqrt.f32 u1) (patch (sqrt.f32 u1) #<representation binary32>) () ())) ())
#s(alt (sqrt u1) (taylor 0 u1) (#s(alt (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (patch (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt u1) (* -1/4 (sqrt (pow u1 3)))) (taylor 0 u1) (#s(alt (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (patch (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt u1) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* 1/6 (sqrt u1))))) (taylor 0 u1) (#s(alt (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (patch (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(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)))))))) (taylor 0 u1) (#s(alt (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (patch (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (taylor 0 u1) (#s(alt (.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))) (patch (.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))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (taylor 0 u1) (#s(alt (.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))) (patch (.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))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI))))))))) (taylor 0 u1) (#s(alt (.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))) (patch (.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))) #<representation binary32>) () ())) ())
#s(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))))))))))) (taylor 0 u1) (#s(alt (.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))) (patch (.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))) #<representation binary32>) () ())) ())
#s(alt (pow (* 1 u1) 1/4) (taylor 0 u1) (#s(alt (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) (patch (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/8 (pow (* 1 (pow u1 5)) 1/4)) (pow (* 1 u1) 1/4)) (taylor 0 u1) (#s(alt (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) (patch (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ (* u1 (+ (* -1/8 (pow (* 1 u1) 1/4)) (* 23/384 (pow (* 1 (pow u1 5)) 1/4)))) (pow (* 1 u1) 1/4)) (taylor 0 u1) (#s(alt (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) (patch (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ (* u1 (+ (* -1/8 (pow (* 1 u1) 1/4)) (* u1 (+ (* -39/1024 (pow (* 1 (pow u1 5)) 1/4)) (* 23/384 (pow (* 1 u1) 1/4)))))) (pow (* 1 u1) 1/4)) (taylor 0 u1) (#s(alt (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) (patch (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #<representation binary32>) () ())) ())
#s(alt u1 (taylor 0 u1) (#s(alt (log1p.f32 u1) (patch (log1p.f32 u1) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 (* -1/2 u1))) (taylor 0 u1) (#s(alt (log1p.f32 u1) (patch (log1p.f32 u1) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 (* u1 (- (* 1/3 u1) 1/2)))) (taylor 0 u1) (#s(alt (log1p.f32 u1) (patch (log1p.f32 u1) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 (* u1 (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2)))) (taylor 0 u1) (#s(alt (log1p.f32 u1) (patch (log1p.f32 u1) #<representation binary32>) () ())) ())
#s(alt u1 (taylor 0 u1) (#s(alt (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (patch (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 (* -1/2 u1))) (taylor 0 u1) (#s(alt (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (patch (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) #<representation binary32>) () ())) ())
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#s(alt (cos (* 2 (* u2 (PI)))) (taylor -inf u2) (#s(alt (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (patch (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #<representation binary32>) () ())) ())
#s(alt (cos (* 2 (* u2 (PI)))) (taylor -inf u2) (#s(alt (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (patch (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #<representation binary32>) () ())) ())
#s(alt (cos (* 2 (* u2 (PI)))) (taylor -inf u2) (#s(alt (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (patch (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #<representation binary32>) () ())) ())
#s(alt (cos (* 2 (* u2 (PI)))) (taylor -inf u2) (#s(alt (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (patch (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #<representation binary32>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
74.0ms	u2	@	inf	((* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (pow (pow (log (+ 1 u1)) 1/4) 2) (* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) (pow (log (+ 1 u1)) 1/4) (log (+ 1 u1)) (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (neg (neg (pow (log (+ 1 u1)) 2))) (* (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2))) (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (log (pow (- 1 u1) -1/2)) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (pow (log (+ 1 u1)) 2))
33.0ms	u1	@	-inf	((* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (pow (pow (log (+ 1 u1)) 1/4) 2) (* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) (pow (log (+ 1 u1)) 1/4) (log (+ 1 u1)) (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (neg (neg (pow (log (+ 1 u1)) 2))) (* (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2))) (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (log (pow (- 1 u1) -1/2)) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (pow (log (+ 1 u1)) 2))
21.0ms	u2	@	-inf	((* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (pow (pow (log (+ 1 u1)) 1/4) 2) (* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) (pow (log (+ 1 u1)) 1/4) (log (+ 1 u1)) (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (neg (neg (pow (log (+ 1 u1)) 2))) (* (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2))) (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (log (pow (- 1 u1) -1/2)) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (pow (log (+ 1 u1)) 2))
15.0ms	u1	@	inf	((* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (pow (pow (log (+ 1 u1)) 1/4) 2) (* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) (pow (log (+ 1 u1)) 1/4) (log (+ 1 u1)) (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (neg (neg (pow (log (+ 1 u1)) 2))) (* (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2))) (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (log (pow (- 1 u1) -1/2)) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (pow (log (+ 1 u1)) 2))
4.0ms	u1	@	0	((* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (pow (pow (log (+ 1 u1)) 1/4) 2) (* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) (pow (log (+ 1 u1)) 1/4) (log (+ 1 u1)) (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (neg (neg (pow (log (+ 1 u1)) 2))) (* (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2))) (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (log (pow (- 1 u1) -1/2)) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (pow (log (+ 1 u1)) 2))

simplify444.0ms (4.9%)

Memory

15.6MiB live, 167.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8 914×	`lower-fma.f64`
8 914×	`lower-fma.f32`
7 272×	`lower-*.f64`
7 272×	`lower-*.f32`
4 080×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	911	9450
1	2784	8035
0	8348	7629

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 332

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)))))))))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(* -1 u1)
(* u1 (- (* -1/2 u1) 1))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
(* -1 (sqrt u1))
(* -1 (sqrt u1))
(* -1 (sqrt u1))
(* -1 (sqrt u1))
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt 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 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) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 u1)))))) (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(pow (* 1 u1) 1/4)
(+ (* -1/8 (pow (* 1 (pow u1 5)) 1/4)) (pow (* 1 u1) 1/4))
(+ (* u1 (+ (* -1/8 (pow (* 1 u1) 1/4)) (* 23/384 (pow (* 1 (pow u1 5)) 1/4)))) (pow (* 1 u1) 1/4))
(+ (* u1 (+ (* -1/8 (pow (* 1 u1) 1/4)) (* u1 (+ (* -39/1024 (pow (* 1 (pow u1 5)) 1/4)) (* 23/384 (pow (* 1 u1) 1/4)))))) (pow (* 1 u1) 1/4))
u1
(* u1 (+ 1 (* -1/2 u1)))
(* u1 (+ 1 (* u1 (- (* 1/3 u1) 1/2))))
(* u1 (+ 1 (* u1 (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))))
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))))
(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))))
(* (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) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 u1)))))) (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(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))))))))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (* (sqrt 1/2) (sqrt 2))))
(+ (* 1/8 (* (sqrt (pow u1 3)) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt 1/2)))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (* (sqrt 1/2) (sqrt 2)))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (* (sqrt 1/2) (sqrt 2)))) (* (pow u1 2) (+ (* 1/12 (* (sqrt u1) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt 1/2)))) (* 1/8 (* (sqrt (/ 1 u1)) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt 1/2)))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (* (sqrt 1/2) (sqrt 2)))) (* (pow u1 2) (+ (* 1/8 (* (sqrt (/ 1 u1)) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt 1/2)))) (* u1 (+ (* 1/12 (* (sqrt (/ 1 u1)) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt 1/2)))) (* 1/2 (* (sqrt u1) (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt 2) (- 1/8 (* 1/64 (/ 1 (* u1 (pow (sqrt 1/2) 2))))))) (sqrt 1/2)))))))))
(* (sqrt u1) (* (sqrt 1/2) (sqrt 2)))
(+ (* 1/8 (* (sqrt (pow u1 3)) (/ (sqrt 2) (sqrt 1/2)))) (* (sqrt u1) (* (sqrt 1/2) (sqrt 2))))
(+ (* (sqrt u1) (* (sqrt 1/2) (sqrt 2))) (* (pow u1 2) (+ (* 1/12 (* (sqrt u1) (/ (sqrt 2) (sqrt 1/2)))) (* 1/8 (* (sqrt (/ 1 u1)) (/ (sqrt 2) (sqrt 1/2)))))))
(+ (* (sqrt u1) (* (sqrt 1/2) (sqrt 2))) (* (pow u1 2) (+ (* 1/8 (* (sqrt (/ 1 u1)) (/ (sqrt 2) (sqrt 1/2)))) (* u1 (+ (* 1/12 (* (sqrt (/ 1 u1)) (/ (sqrt 2) (sqrt 1/2)))) (* 1/2 (* (sqrt u1) (/ (* (sqrt 2) (- 1/8 (* 1/64 (/ 1 (* u1 (pow (sqrt 1/2) 2)))))) (sqrt 1/2)))))))))
(* 1/2 u1)
(* u1 (+ 1/2 (* 1/4 u1)))
(* u1 (+ 1/2 (* u1 (+ 1/4 (* 1/6 u1)))))
(* u1 (+ 1/2 (* u1 (+ 1/4 (* u1 (+ 1/6 (* 1/8 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))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(+ (log -1) (* -1 (log (/ 1 u1))))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
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(cos (* 2 (* u2 (PI))))

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

rewrite142.0ms (1.6%)

Memory

15.6MiB live, 53.4MiB allocated

Rules

476×	`lower-*.f64`
462×	`lower-*.f32`
242×	`lower-/.f64`
240×	`lower-/.f32`
156×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	208
0	69	174
1	190	151
0	892	146

Stop Event

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

Counts

23 → 189

Calls

Call 1

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

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

eval151.0ms (1.7%)

Memory: -19.9MiB live, 134.5MiB allocated
Compiler: Compiled 17 074 to 2 162 computations (87.3% saved)

prune136.0ms (1.5%)

Memory

33.2MiB live, 227.1MiB allocated

Pruning

33 alts after pruning (31 fresh and 2 done)

	Pruned	Kept	Total
New	686	29	715
Fresh	2	2	4
Picked	4	1	5
Done	0	1	1
Total	692	33	725

Accuracy

92.3%

Counts

725 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.5%	(/.f32 (.f32 (log1p.f32 u1) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1)))
	45.5%	(.f32 (pow.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	26.4%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	40.3%	(.f32 (pow.f32 (pow.f32 (log.f32 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	59.5%	(.f32 (pow.f32 (pow.f32 #s(approx (log (+ 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.2%	(.f32 (pow.f32 #s(approx (pow (log (+ 1 u1)) 1/4) (pow.f32 u1 #s(literal 1/4 binary32))) #s(literal 2 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	40.1%	(.f32 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))) (log1p.f32 (-.f32 (.f32 u1 u1) u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	42.7%	(.f32 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	28.0%	(.f32 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log.f32 (+.f32 u1 #s(literal 1 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	44.6%	(.f32 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	43.6%	(.f32 (/.f32 (sqrt.f32 #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) u1) u1))) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	45.5%	(.f32 (/.f32 (sqrt.f32 #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1))) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	45.3%	(.f32 (/.f32 (log1p.f32 u1) (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32))) (/.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32))))
	44.5%	(.f32 (/.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1 binary32))) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	45.5%	(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.5%	(.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1)))) (+.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	28.9%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)))) (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	52.4%	(.f32 (sqrt.f32 (+.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	52.8%	(.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (-.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))))
✓	52.8%	(.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	48.0%	(.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) #s(approx (log (pow (- 1 u1) -1/2)) (.f32 #s(literal 1/2 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	58.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))))
✓	57.9%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.4%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (-.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))))
	65.6%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	59.7%	(.f32 (sqrt.f32 #s(approx (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	75.2%	(.f32 (exp.f32 (.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	76.5%	(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	75.5%	(.f32 #s(approx (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	4.8%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	65.6%	#s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1)))
	52.1%	#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))))))
	45.5%	#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 #s(literal 2 binary32))))

Compiler

Compiled 1 114 to 986 computations (11.5% saved)

simplify145.0ms (1.6%)

Memory

-27.3MiB live, 56.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
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 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))))
cost-diff	32	(log.f32 (-.f32 #s(literal 1 binary32) u1))
cost-diff	9792	(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))
cost-diff	0	(cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))
cost-diff	0	(log1p.f32 u1)
cost-diff	0	(.f32 (log1p.f32 u1) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))
cost-diff	0	(/.f32 (.f32 (log1p.f32 u1) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1)))
cost-diff	0	#s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (*.f32 u1 u1))
cost-diff	0	(sqrt.f32 #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (*.f32 u1 u1)))
cost-diff	0	(/.f32 (sqrt.f32 #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (*.f32 u1 u1))) (sqrt.f32 (log1p.f32 u1)))
cost-diff	0	(.f32 (/.f32 (sqrt.f32 #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1))) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff	0	(sqrt.f32 u1)
cost-diff	0	(neg.f32 (sqrt.f32 u1))
cost-diff	0	#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
cost-diff	0	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
cost-diff	0	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
cost-diff	0	(sqrt.f32 u1)
cost-diff	0	#s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1))
cost-diff	0	(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Rules

1 012×	`lower-*.f64`
986×	`lower-*.f32`
894×	`lower-fma.f64`
894×	`lower-fma.f32`
766×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	299
0	85	279
1	130	275
2	195	267
3	292	267
4	329	267
5	424	267
6	747	267
7	1476	267
8	1790	267
9	2906	267
10	3456	267
11	3611	267
12	3625	267
13	3634	267
14	3639	267
15	3639	267
16	3663	267
17	3709	267
18	3709	267
19	3709	267
0	3709	261

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize144.0ms (1.6%)

Memory

37.0MiB live, 231.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.13671875	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))))
accuracy	0.25390625	(*.f32 (cbrt.f32 (PI.f32)) u2)
accuracy	0.5224800293053261	(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))
accuracy	14.095433633617281	(log.f32 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.13671875	(.f32 (log1p.f32 u1) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))
accuracy	0.2890625	(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
accuracy	0.40234375	(/.f32 (.f32 (log1p.f32 u1) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1)))
accuracy	17.617838733450476	(log1p.f32 u1)
accuracy	0.2890625	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	0.46322250976844204	(/.f32 (sqrt.f32 #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (*.f32 u1 u1))) (sqrt.f32 (log1p.f32 u1)))
accuracy	8.83679794966684	#s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (*.f32 u1 u1))
accuracy	17.505631811394938	(log1p.f32 u1)
accuracy	0	(neg.f32 (sqrt.f32 u1))
accuracy	0.13671875	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
accuracy	6.1303594633256555	#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
accuracy	30.89350645530856	#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
accuracy	0.08982169311272992	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
accuracy	0.12109375	(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy	0.2890625	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	7.425614272689017	#s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1))

Samples

106.0ms

256×

valid

Compiler

Compiled 297 to 43 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 86.0ms

ival-mult: 41.0ms (47.7% of total)

ival-cos: 7.0ms (8.2% of total)

ival-pow2: 7.0ms (8.2% of total)

ival-sqrt: 6.0ms (7% of total)

ival-pow: 5.0ms (5.8% of total)

ival-log: 4.0ms (4.7% of total)

ival-neg: 4.0ms (4.7% of total)

ival-div: 3.0ms (3.5% of total)

ival-cbrt: 3.0ms (3.5% of total)

ival-log1p: 3.0ms (3.5% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series71.0ms (0.8%)

Memory

-38.2MiB live, 122.1MiB allocated

Counts

23 → 348

Calls

Call 1

Inputs
#s(alt (.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())
#s(alt #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (patch #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) #<representation binary32>) () ())
#s(alt (sqrt.f32 u1) (patch (sqrt.f32 u1) #<representation binary32>) () ())
#s(alt (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (patch (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #<representation binary32>) () ())
#s(alt (.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))) (patch (.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (patch #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #<representation binary32>) () ())
#s(alt (neg.f32 (sqrt.f32 u1)) (patch (neg.f32 (sqrt.f32 u1)) #<representation binary32>) () ())
#s(alt (.f32 (/.f32 (sqrt.f32 #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1))) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (/.f32 (sqrt.f32 #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1))) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())
#s(alt (/.f32 (sqrt.f32 #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1))) (sqrt.f32 (log1p.f32 u1))) (patch (/.f32 (sqrt.f32 #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1))) (sqrt.f32 (log1p.f32 u1))) #<representation binary32>) () ())
#s(alt (sqrt.f32 #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1))) (patch (sqrt.f32 #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1))) #<representation binary32>) () ())
#s(alt #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1)) (patch #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1)) #<representation binary32>) () ())
#s(alt (/.f32 (.f32 (log1p.f32 u1) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) (patch (/.f32 (.f32 (log1p.f32 u1) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) #<representation binary32>) () ())
#s(alt (.f32 (log1p.f32 u1) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (patch (.f32 (log1p.f32 u1) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) #<representation binary32>) () ())
#s(alt (log1p.f32 u1) (patch (log1p.f32 u1) #<representation binary32>) () ())
#s(alt (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) (patch (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) #<representation binary32>) () ())
#s(alt (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32))) (patch (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32))) #<representation binary32>) () ())
#s(alt (log.f32 (-.f32 #s(literal 1 binary32) u1)) (patch (log.f32 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())
#s(alt (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32))))) (patch (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32))))) #<representation binary32>) () ())
#s(alt (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (patch (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #<representation binary32>) () ())
#s(alt (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) (patch (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #<representation binary32>) () ())
#s(alt #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) (patch #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))) (patch (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))) #<representation binary32>) () ())
#s(alt (.f32 (cbrt.f32 (PI.f32)) u2) (patch (.f32 (cbrt.f32 (PI.f32)) u2) #<representation binary32>) () ())

Outputs
#s(alt (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (taylor 0 u1) (#s(alt (.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (taylor 0 u1) (#s(alt (.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI))))))))) (taylor 0 u1) (#s(alt (.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(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))))))))))) (taylor 0 u1) (#s(alt (.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (sqrt u1) (taylor 0 u1) (#s(alt #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (patch #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt u1) (* -1/4 (sqrt (pow u1 3)))) (taylor 0 u1) (#s(alt #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (patch #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt u1) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* 1/6 (sqrt u1))))) (taylor 0 u1) (#s(alt #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (patch #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) #<representation binary32>) () ())) ())
#s(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)))))))) (taylor 0 u1) (#s(alt #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (patch #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (sqrt u1) (taylor 0 u1) (#s(alt (sqrt.f32 u1) (patch (sqrt.f32 u1) #<representation binary32>) () ())) ())
#s(alt (sqrt u1) (taylor 0 u1) (#s(alt (sqrt.f32 u1) (patch (sqrt.f32 u1) #<representation binary32>) () ())) ())
#s(alt (sqrt u1) (taylor 0 u1) (#s(alt (sqrt.f32 u1) (patch (sqrt.f32 u1) #<representation binary32>) () ())) ())
#s(alt (sqrt u1) (taylor 0 u1) (#s(alt (sqrt.f32 u1) (patch (sqrt.f32 u1) #<representation binary32>) () ())) ())
#s(alt (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (taylor 0 u1) (#s(alt (.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))) (patch (.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) (taylor 0 u1) (#s(alt (.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))) (patch (.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(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))))))))) (taylor 0 u1) (#s(alt (.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))) (patch (.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(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))))))))))) (taylor 0 u1) (#s(alt (.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))) (patch (.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt u1) (pow (sqrt -1) 2)) (taylor 0 u1) (#s(alt #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (patch #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2))) (taylor 0 u1) (#s(alt #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (patch #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1))))) (taylor 0 u1) (#s(alt #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (patch #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #<representation binary32>) () ())) ())
#s(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)))))))) (taylor 0 u1) (#s(alt #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (patch #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (* -1 (sqrt u1)) (taylor 0 u1) (#s(alt (neg.f32 (sqrt.f32 u1)) (patch (neg.f32 (sqrt.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (* -1 (sqrt u1)) (taylor 0 u1) (#s(alt (neg.f32 (sqrt.f32 u1)) (patch (neg.f32 (sqrt.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (* -1 (sqrt u1)) (taylor 0 u1) (#s(alt (neg.f32 (sqrt.f32 u1)) (patch (neg.f32 (sqrt.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (* -1 (sqrt u1)) (taylor 0 u1) (#s(alt (neg.f32 (sqrt.f32 u1)) (patch (neg.f32 (sqrt.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (taylor 0 u1) (#s(alt (.f32 (/.f32 (sqrt.f32 #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1))) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (/.f32 (sqrt.f32 #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1))) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (taylor 0 u1) (#s(alt (.f32 (/.f32 (sqrt.f32 #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1))) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (/.f32 (sqrt.f32 #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1))) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI))))))))) (taylor 0 u1) (#s(alt (.f32 (/.f32 (sqrt.f32 #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1))) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (/.f32 (sqrt.f32 #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1))) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(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))))))))))) (taylor 0 u1) (#s(alt (.f32 (/.f32 (sqrt.f32 #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1))) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (/.f32 (sqrt.f32 #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1))) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (sqrt u1) (taylor 0 u1) (#s(alt (/.f32 (sqrt.f32 #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1))) (sqrt.f32 (log1p.f32 u1))) (patch (/.f32 (sqrt.f32 #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1))) (sqrt.f32 (log1p.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt u1) (* -1/4 (sqrt (pow u1 3)))) (taylor 0 u1) (#s(alt (/.f32 (sqrt.f32 #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1))) (sqrt.f32 (log1p.f32 u1))) (patch (/.f32 (sqrt.f32 #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1))) (sqrt.f32 (log1p.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt u1) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* 1/6 (sqrt u1))))) (taylor 0 u1) (#s(alt (/.f32 (sqrt.f32 #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1))) (sqrt.f32 (log1p.f32 u1))) (patch (/.f32 (sqrt.f32 #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1))) (sqrt.f32 (log1p.f32 u1))) #<representation binary32>) () ())) ())
#s(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)))))))) (taylor 0 u1) (#s(alt (/.f32 (sqrt.f32 #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1))) (sqrt.f32 (log1p.f32 u1))) (patch (/.f32 (sqrt.f32 #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1))) (sqrt.f32 (log1p.f32 u1))) #<representation binary32>) () ())) ())
#s(alt u1 (taylor 0 u1) (#s(alt (sqrt.f32 #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1))) (patch (sqrt.f32 #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1))) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 (* -1/2 u1))) (taylor 0 u1) (#s(alt (sqrt.f32 #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1))) (patch (sqrt.f32 #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1))) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 (* u1 (- (* 1/3 u1) 1/2)))) (taylor 0 u1) (#s(alt (sqrt.f32 #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1))) (patch (sqrt.f32 #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1))) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 (* u1 (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2)))) (taylor 0 u1) (#s(alt (sqrt.f32 #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1))) (patch (sqrt.f32 #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1))) #<representation binary32>) () ())) ())
#s(alt (pow u1 2) (taylor 0 u1) (#s(alt #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1)) (patch #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1)) #<representation binary32>) () ())) ())
#s(alt (* (pow u1 2) (+ 1 (* -1 u1))) (taylor 0 u1) (#s(alt #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1)) (patch #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1)) #<representation binary32>) () ())) ())
#s(alt (* (pow u1 2) (+ 1 (* u1 (- (* 11/12 u1) 1)))) (taylor 0 u1) (#s(alt #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1)) (patch #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1)) #<representation binary32>) () ())) ())
#s(alt (* (pow u1 2) (+ 1 (* u1 (- (* u1 (+ 11/12 (* -5/6 u1))) 1)))) (taylor 0 u1) (#s(alt #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1)) (patch #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1)) #<representation binary32>) () ())) ())
#s(alt (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (taylor 0 u1) (#s(alt (/.f32 (.f32 (log1p.f32 u1) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) (patch (/.f32 (.f32 (log1p.f32 u1) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (taylor 0 u1) (#s(alt (/.f32 (.f32 (log1p.f32 u1) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) (patch (/.f32 (.f32 (log1p.f32 u1) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI))))))))) (taylor 0 u1) (#s(alt (/.f32 (.f32 (log1p.f32 u1) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) (patch (/.f32 (.f32 (log1p.f32 u1) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) #<representation binary32>) () ())) ())
#s(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))))))))))) (taylor 0 u1) (#s(alt (/.f32 (.f32 (log1p.f32 u1) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) (patch (/.f32 (.f32 (log1p.f32 u1) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (* u1 (cos (* 2 (* u2 (PI))))) (taylor 0 u1) (#s(alt (.f32 (log1p.f32 u1) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (patch (.f32 (log1p.f32 u1) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ (cos (* 2 (* u2 (PI)))) (* -1/2 (* u1 (cos (* 2 (* u2 (PI)))))))) (taylor 0 u1) (#s(alt (.f32 (log1p.f32 u1) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (patch (.f32 (log1p.f32 u1) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ (cos (* 2 (* u2 (PI)))) (* u1 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* 1/3 (* u1 (cos (* 2 (* u2 (PI)))))))))) (taylor 0 u1) (#s(alt (.f32 (log1p.f32 u1) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (patch (.f32 (log1p.f32 u1) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ (cos (* 2 (* u2 (PI)))) (* u1 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* u1 (+ (* -1/4 (* u1 (cos (* 2 (* u2 (PI)))))) (* 1/3 (cos (* 2 (* u2 (PI))))))))))) (taylor 0 u1) (#s(alt (.f32 (log1p.f32 u1) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (patch (.f32 (log1p.f32 u1) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) #<representation binary32>) () ())) ())
#s(alt u1 (taylor 0 u1) (#s(alt (log1p.f32 u1) (patch (log1p.f32 u1) #<representation binary32>) () ())) ())
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#s(alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) (taylor -inf u2) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32))))) (patch (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) (taylor -inf u2) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32))))) (patch (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* 2 (* u2 (PI))) (taylor -inf u2) (#s(alt (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) (patch (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #<representation binary32>) () ())) ())
#s(alt (* 2 (* u2 (PI))) (taylor -inf u2) (#s(alt (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) (patch (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #<representation binary32>) () ())) ())
#s(alt (* 2 (* u2 (PI))) (taylor -inf u2) (#s(alt (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) (patch (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #<representation binary32>) () ())) ())
#s(alt (* 2 (* u2 (PI))) (taylor -inf u2) (#s(alt (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) (patch (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #<representation binary32>) () ())) ())
#s(alt (cos (* 2 (* u2 (PI)))) (taylor -inf u2) (#s(alt #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) (patch #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (cos (* 2 (* u2 (PI)))) (taylor -inf u2) (#s(alt #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) (patch #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (cos (* 2 (* u2 (PI)))) (taylor -inf u2) (#s(alt #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) (patch #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (cos (* 2 (* u2 (PI)))) (taylor -inf u2) (#s(alt #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) (patch #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2 (* u2 (PI))) (taylor -inf u2) (#s(alt (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))) (patch (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* 2 (* u2 (PI))) (taylor -inf u2) (#s(alt (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))) (patch (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* 2 (* u2 (PI))) (taylor -inf u2) (#s(alt (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))) (patch (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* 2 (* u2 (PI))) (taylor -inf u2) (#s(alt (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))) (patch (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* u2 (cbrt (PI))) (taylor -inf u2) (#s(alt (.f32 (cbrt.f32 (PI.f32)) u2) (patch (.f32 (cbrt.f32 (PI.f32)) u2) #<representation binary32>) () ())) ())
#s(alt (* u2 (cbrt (PI))) (taylor -inf u2) (#s(alt (.f32 (cbrt.f32 (PI.f32)) u2) (patch (.f32 (cbrt.f32 (PI.f32)) u2) #<representation binary32>) () ())) ())
#s(alt (* u2 (cbrt (PI))) (taylor -inf u2) (#s(alt (.f32 (cbrt.f32 (PI.f32)) u2) (patch (.f32 (cbrt.f32 (PI.f32)) u2) #<representation binary32>) () ())) ())
#s(alt (* u2 (cbrt (PI))) (taylor -inf u2) (#s(alt (.f32 (cbrt.f32 (PI.f32)) u2) (patch (.f32 (cbrt.f32 (PI.f32)) u2) #<representation binary32>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
19.0ms	u2	@	inf	((* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt u1) (cos (* (* 2 (PI)) u2)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (* (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (neg (neg (pow (log (+ 1 u1)) 2))) (/ (* (log (+ 1 u1)) (cos (* u2 (* (PI) 2)))) (sqrt (log (+ 1 u1)))) (* (log (+ 1 u1)) (cos (* u2 (* (PI) 2)))) (log (+ 1 u1)) (cos (* u2 (* (PI) 2))) (* (pow (cbrt (PI)) 2) (* (* (cbrt (PI)) u2) 2)) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (pow (cbrt (PI)) 2) (* (* (cbrt (PI)) u2) 2)))) (sqrt (neg (log (- 1 u1)))) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (* u2 (* (PI) 2)) (* (cbrt (PI)) u2))
17.0ms	u2	@	-inf	((* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt u1) (cos (* (* 2 (PI)) u2)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (* (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (neg (neg (pow (log (+ 1 u1)) 2))) (/ (* (log (+ 1 u1)) (cos (* u2 (* (PI) 2)))) (sqrt (log (+ 1 u1)))) (* (log (+ 1 u1)) (cos (* u2 (* (PI) 2)))) (log (+ 1 u1)) (cos (* u2 (* (PI) 2))) (* (pow (cbrt (PI)) 2) (* (* (cbrt (PI)) u2) 2)) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (pow (cbrt (PI)) 2) (* (* (cbrt (PI)) u2) 2)))) (sqrt (neg (log (- 1 u1)))) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (* u2 (* (PI) 2)) (* (cbrt (PI)) u2))
3.0ms	u2	@	0	((* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt u1) (cos (* (* 2 (PI)) u2)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (* (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (neg (neg (pow (log (+ 1 u1)) 2))) (/ (* (log (+ 1 u1)) (cos (* u2 (* (PI) 2)))) (sqrt (log (+ 1 u1)))) (* (log (+ 1 u1)) (cos (* u2 (* (PI) 2)))) (log (+ 1 u1)) (cos (* u2 (* (PI) 2))) (* (pow (cbrt (PI)) 2) (* (* (cbrt (PI)) u2) 2)) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (pow (cbrt (PI)) 2) (* (* (cbrt (PI)) u2) 2)))) (sqrt (neg (log (- 1 u1)))) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (* u2 (* (PI) 2)) (* (cbrt (PI)) u2))
3.0ms	u1	@	0	((* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt u1) (cos (* (* 2 (PI)) u2)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (* (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (neg (neg (pow (log (+ 1 u1)) 2))) (/ (* (log (+ 1 u1)) (cos (* u2 (* (PI) 2)))) (sqrt (log (+ 1 u1)))) (* (log (+ 1 u1)) (cos (* u2 (* (PI) 2)))) (log (+ 1 u1)) (cos (* u2 (* (PI) 2))) (* (pow (cbrt (PI)) 2) (* (* (cbrt (PI)) u2) 2)) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (pow (cbrt (PI)) 2) (* (* (cbrt (PI)) u2) 2)))) (sqrt (neg (log (- 1 u1)))) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (* u2 (* (PI) 2)) (* (cbrt (PI)) u2))
1.0ms	u1	@	-inf	((* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt u1) (cos (* (* 2 (PI)) u2)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (* (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (neg (neg (pow (log (+ 1 u1)) 2))) (/ (* (log (+ 1 u1)) (cos (* u2 (* (PI) 2)))) (sqrt (log (+ 1 u1)))) (* (log (+ 1 u1)) (cos (* u2 (* (PI) 2)))) (log (+ 1 u1)) (cos (* u2 (* (PI) 2))) (* (pow (cbrt (PI)) 2) (* (* (cbrt (PI)) u2) 2)) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (pow (cbrt (PI)) 2) (* (* (cbrt (PI)) u2) 2)))) (sqrt (neg (log (- 1 u1)))) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (* u2 (* (PI) 2)) (* (cbrt (PI)) u2))

simplify509.0ms (5.6%)

Memory

-112.6MiB live, 317.3MiB allocated

Algorithm

1×	egg-herbie

Rules

9 920×	`lower-fma.f64`
9 920×	`lower-fma.f32`
7 384×	`lower-*.f64`
7 384×	`lower-*.f32`
4 594×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	593	8040
1	1779	6876
2	5683	6807
0	8412	6397

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 346

Calls

Call 1

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

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

rewrite175.0ms (1.9%)

Memory

-33.9MiB live, 324.0MiB allocated

Rules

4 080×	`lower-*.f64`
4 054×	`lower-*.f32`
2 856×	`lower-fma.f64`
2 856×	`lower-fma.f32`
2 212×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	215
0	85	211
1	206	187
2	809	184
3	5874	184
0	8282	179

Stop Event

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

Counts

23 → 637

Calls

Call 1

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

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

eval161.0ms (1.8%)

Memory: 25.7MiB live, 301.6MiB allocated
Compiler: Compiled 31 356 to 3 653 computations (88.3% saved)

prune274.0ms (3%)

Memory

7.8MiB live, 561.6MiB allocated

Pruning

57 alts after pruning (51 fresh and 6 done)

	Pruned	Kept	Total
New	1 308	31	1 339
Fresh	6	20	26
Picked	1	4	5
Done	0	2	2
Total	1 315	57	1 372

Accuracy

93.1%

Counts

1 372 → 57

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.5%	(/.f32 (.f32 (log1p.f32 u1) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1)))
	45.5%	(.f32 (pow.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	26.4%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	40.3%	(.f32 (pow.f32 (pow.f32 (log.f32 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	59.5%	(.f32 (pow.f32 (pow.f32 #s(approx (log (+ 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.2%	(.f32 (pow.f32 #s(approx (pow (log (+ 1 u1)) 1/4) (pow.f32 u1 #s(literal 1/4 binary32))) #s(literal 2 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	42.7%	(.f32 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	28.0%	(.f32 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log.f32 (+.f32 u1 #s(literal 1 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	44.6%	(.f32 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	43.6%	(.f32 (/.f32 (sqrt.f32 #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) u1) u1))) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	63.0%	(.f32 (/.f32 (sqrt.f32 #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1))) (sqrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))) (log1p.f32 (-.f32 (.f32 u1 u1) u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	9.4%	(.f32 (/.f32 (sqrt.f32 #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1))) (sqrt.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 #s(literal 6 binary32)))) (log.f32 (.f32 (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	47.7%	(.f32 (/.f32 (sqrt.f32 #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1))) (sqrt.f32 (-.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)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	46.4%	(.f32 (/.f32 (sqrt.f32 #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1))) (sqrt.f32 (-.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 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	30.7%	(.f32 (/.f32 (sqrt.f32 #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1))) (sqrt.f32 (-.f32 (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1))))) (log1p.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	63.9%	(.f32 (/.f32 (sqrt.f32 #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1))) (sqrt.f32 (+.f32 (log.f32 (/.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (.f32 u1 u1) u1) #s(literal 2 binary32))))) (log1p.f32 (.f32 (neg.f32 u1) (-.f32 u1 #s(literal 1 binary32))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	40.9%	(.f32 (/.f32 (sqrt.f32 #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1))) (sqrt.f32 (neg.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	45.5%	(.f32 (/.f32 (sqrt.f32 #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1))) (sqrt.f32 (log1p.f32 (neg.f32 (neg.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	46.1%	(.f32 (/.f32 (sqrt.f32 #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1))) (sqrt.f32 (log.f32 (+.f32 u1 #s(literal 1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	44.5%	(.f32 (/.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1 binary32))) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	45.5%	(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.5%	(.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1)))) (+.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	28.9%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)))) (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	52.4%	(.f32 (sqrt.f32 (+.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	52.8%	(.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	48.0%	(.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) #s(approx (log (pow (- 1 u1) -1/2)) (.f32 #s(literal 1/2 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	39.2%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (+.f32 u1 #s(literal 1 binary32)) (.f32 u1 (fma.f32 u1 u1 u1)))) (log.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))))
	64.0%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32))) (+.f32 (pow.f32 (-.f32 (.f32 u1 u1) u1) #s(literal 3 binary32)) #s(literal 1 binary32)))) (log1p.f32 (.f32 (-.f32 (.f32 u1 u1) u1) (-.f32 (-.f32 (.f32 u1 u1) u1) #s(literal 1 binary32))))))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))))
	55.1%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (.f32 u1 u1) u1) #s(literal 2 binary32))))) (log.f32 (.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (-.f32 (.f32 u1 u1) u1))))))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))))
	13.5%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 (pow.f32 u1 #s(literal 3 binary32)))) (log.f32 (/.f32 (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)))))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))))
	62.7%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32))))) (log1p.f32 (-.f32 (.f32 u1 u1) u1))))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))))
	56.0%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)))))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))))
✓	58.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))))
✓	57.9%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	59.7%	(.f32 (sqrt.f32 #s(approx (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	75.2%	(.f32 (exp.f32 (.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	76.5%	(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/8 binary32)) (sqrt.f32 u1))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	76.5%	(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.4%	(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal 3/2 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 u1 #s(literal 0 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.2%	(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (/.f32 (neg.f32 u1) (neg.f32 (sqrt.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.3%	(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (/.f32 (-.f32 (.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32))) (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))) #s(literal 1 binary32)))
	76.4%	(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))
	76.2%	(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (.f32 (+.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))) (-.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32))))))
	76.4%	(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) u2) (.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))))
	76.4%	(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 (.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) u2) #s(literal 2 binary32)) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (cbrt.f32 (PI.f32))))))
	76.5%	(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
✓	76.5%	(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	65.6%	(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	4.8%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32))) u1)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	4.8%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	4.9%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (-.f32 (.f32 (fma.f32 (fma.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/8 binary32)) (sqrt.f32 u1))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (.f32 u1 u1)) (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	4.8%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (-.f32 (.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1)) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	6.6%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (fma.f32 (sqrt.f32 u1) #s(literal 1 binary32) #s(literal 0 binary32)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
✓	4.8%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	65.6%	#s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1)))
	52.1%	#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))))))
	45.5%	#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 #s(literal 2 binary32))))

Compiler

Compiled 2 417 to 1 933 computations (20% saved)

simplify152.0ms (1.7%)

Memory

-24.7MiB live, 227.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(log1p.f32 (neg.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32))))
cost-diff	0	(-.f32 (log1p.f32 (neg.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)))) (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
cost-diff	0	(sqrt.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)))) (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))))
cost-diff	0	(.f32 (sqrt.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)))) (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff	0	(/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1)))
cost-diff	0	(.f32 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
cost-diff	128	(neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))
cost-diff	3488	(sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))
cost-diff	0	#s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/8 binary32)) (sqrt.f32 u1))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (*.f32 u1 u1) (sqrt.f32 u1)))
cost-diff	0	(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/8 binary32)) (sqrt.f32 u1))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff	96	(fma.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/8 binary32))
cost-diff	1088	(fma.f32 (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/8 binary32)) (sqrt.f32 u1))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32)))
cost-diff	0	#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
cost-diff	0	(sqrt.f32 u1)
cost-diff	0	#s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1))
cost-diff	0	(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
cost-diff	0	(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))
cost-diff	0	(fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))
cost-diff	0	#s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1)))
cost-diff	0	(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Rules

11 738×	`lower-fma.f64`
11 724×	`lower-fma.f32`
3 038×	`lower-*.f64`
3 014×	`lower-*.f32`
2 020×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	589
0	111	574
1	174	556
2	307	550
3	818	546
4	2385	546
5	4629	538
6	7795	538
0	8163	526

Stop Event

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

Calls

Call 1

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

Outputs
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (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))))
#s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1)))
#s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (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)))
(fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))
(fma.f32 (.f32 u1 u1) (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))) (sqrt.f32 u1))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))
(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 (/.f32 #s(literal 1 binary32) u1))
(/.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
#s(literal -1/4 binary32)
(*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))
#s(literal 1/6 binary32)
(sqrt.f32 u1)
(*.f32 u1 u1)
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
u2
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)) #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)))
#s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1))
(sqrt.f32 u1)
u1
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
#s(literal 1 binary32)
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/8 binary32)) (sqrt.f32 u1))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/6 binary32) u1 #s(literal -1/4 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 #s(literal -1/8 binary32) u1 #s(literal -1/32 binary32)) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))
#s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/8 binary32)) (sqrt.f32 u1))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (*.f32 u1 u1) (sqrt.f32 u1)))
#s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/6 binary32) u1 #s(literal -1/4 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 #s(literal -1/8 binary32) u1 #s(literal -1/32 binary32)) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1)))
(fma.f32 (fma.f32 (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/8 binary32)) (sqrt.f32 u1))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (*.f32 u1 u1) (sqrt.f32 u1))
(fma.f32 (fma.f32 (fma.f32 #s(literal 1/6 binary32) u1 #s(literal -1/4 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 #s(literal -1/8 binary32) u1 #s(literal -1/32 binary32)) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))
(fma.f32 (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/8 binary32)) (sqrt.f32 u1))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32)))
(fma.f32 (fma.f32 #s(literal 1/6 binary32) u1 #s(literal -1/4 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (fma.f32 #s(literal -1/8 binary32) u1 #s(literal -1/32 binary32)) (sqrt.f32 u1)))
(fma.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (fma.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/8 binary32)) (sqrt.f32 u1)))
(fma.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (+.f32 (/.f32 #s(literal -1/32 binary32) u1) #s(literal -1/8 binary32)) (sqrt.f32 u1)))
#s(literal 1/6 binary32)
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1))
(/.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
(*.f32 (fma.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/8 binary32)) (sqrt.f32 u1))
(*.f32 (+.f32 (/.f32 #s(literal -1/32 binary32) u1) #s(literal -1/8 binary32)) (sqrt.f32 u1))
(fma.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/8 binary32))
(+.f32 (/.f32 #s(literal -1/32 binary32) u1) #s(literal -1/8 binary32))
(/.f32 #s(literal 1/16 binary32) u1)
#s(literal 1/16 binary32)
#s(literal -1/2 binary32)
#s(literal -1/8 binary32)
(sqrt.f32 u1)
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))
(*.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
#s(literal -1/4 binary32)
(*.f32 u1 u1)
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
u2
(.f32 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (/.f32 (fabs.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1)))
(/.f32 (fabs.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))
(fabs.f32 (log1p.f32 u1))
(neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))
(pow.f32 (log1p.f32 u1) #s(literal 2 binary32))
(neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))
(pow.f32 (log1p.f32 u1) #s(literal 2 binary32))
(log1p.f32 u1)
u1
#s(literal 2 binary32)
(sqrt.f32 (log1p.f32 u1))
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
#s(literal 1 binary32)
(.f32 (sqrt.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)))) (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)))) (log.f32 (.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))
(sqrt.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)))) (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))))
(sqrt.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)))) (log.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))))
(-.f32 (log1p.f32 (neg.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)))) (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(-.f32 (log1p.f32 (neg.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)))) (log.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))
(log1p.f32 (neg.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32))))
(neg.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)))
(pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32))
(fma.f32 u1 u1 u1)
u1
#s(literal 2 binary32)
(log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))
(log.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))
(*.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))
#s(literal 1 binary32)
(pow.f32 u1 #s(literal 3 binary32))
#s(literal 3 binary32)
(-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
u2

localize161.0ms (1.8%)

Memory

33.1MiB live, 423.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.46856062860980974	(PI.f32)
accuracy	14.067512784942863	(log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))
accuracy	16.77264951217977	(log1p.f32 (neg.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32))))
accuracy	24.068026242805704	(fma.f32 u1 u1 u1)
accuracy	0.3984375	(pow.f32 (log1p.f32 u1) #s(literal 2 binary32))
accuracy	0.453125	(/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1)))
accuracy	6.044966641969299	#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
accuracy	16.749110688034577	(log1p.f32 u1)
accuracy	7.287708793037638	(fma.f32 (fma.f32 (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/8 binary32)) (sqrt.f32 u1))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (*.f32 u1 u1) (sqrt.f32 u1))
accuracy	7.763778132442785	(fma.f32 (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/8 binary32)) (sqrt.f32 u1))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32)))
accuracy	25.908379892683264	(fma.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/8 binary32))
accuracy	30.549131988919555	(fma.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (fma.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/8 binary32)) (sqrt.f32 u1)))
accuracy	0	(sqrt.f32 u1)
accuracy	0.1171875	(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
accuracy	6.044966641969299	#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
accuracy	7.097563362877604	#s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1))
accuracy	0.46856062860980974	(PI.f32)
accuracy	2.664757892665448	#s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1)))
accuracy	7.0876605061071665	(fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))
accuracy	30.477802955946252	(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))

Samples

109.0ms	252×	0	valid
2.0ms	4×	0	invalid

Compiler

Compiled 550 to 60 computations (89.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-mult: 22.0ms (26.4% of total)

ival-sqrt: 9.0ms (10.8% of total)

ival-add: 7.0ms (8.4% of total)

ival-pow: 7.0ms (8.4% of total)

ival-pow2: 7.0ms (8.4% of total)

ival-log1p: 6.0ms (7.2% of total)

ival-div: 5.0ms (6% of total)

ival-sub: 5.0ms (6% of total)

ival-log: 4.0ms (4.8% of total)

const: 4.0ms (4.8% of total)

ival-cos: 3.0ms (3.6% of total)

ival-neg: 3.0ms (3.6% of total)

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

exact: 1.0ms (1.2% of total)

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

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

series273.0ms (3%)

Memory

3.6MiB live, 306.7MiB allocated

Counts

27 → 372

Calls

Call 1

Inputs
#s(alt (.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())
#s(alt #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))) (patch #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))) #<representation binary32>) () ())
#s(alt (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1)) (patch (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1)) #<representation binary32>) () ())
#s(alt (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (patch (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) #<representation binary32>) () ())
#s(alt (.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))) (patch (.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (patch #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) #<representation binary32>) () ())
#s(alt (sqrt.f32 u1) (patch (sqrt.f32 u1) #<representation binary32>) () ())
#s(alt #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) (patch #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/8 binary32)) (sqrt.f32 u1))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (patch (fma.f32 (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/8 binary32)) (sqrt.f32 u1))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/8 binary32)) (patch (fma.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/8 binary32)) #<representation binary32>) () ())
#s(alt (.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/8 binary32)) (sqrt.f32 u1))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/8 binary32)) (sqrt.f32 u1))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())
#s(alt #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/8 binary32)) (sqrt.f32 u1))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))) (patch #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/8 binary32)) (sqrt.f32 u1))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))) #<representation binary32>) () ())
#s(alt (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (patch (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) #<representation binary32>) () ())
#s(alt (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) (patch (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) #<representation binary32>) () ())
#s(alt (.f32 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))) (patch (.f32 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) (patch (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) #<representation binary32>) () ())
#s(alt (.f32 (sqrt.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)))) (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)))) (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())
#s(alt (sqrt.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)))) (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))) (patch (sqrt.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)))) (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))) #<representation binary32>) () ())
#s(alt (-.f32 (log1p.f32 (neg.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)))) (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))) (patch (-.f32 (log1p.f32 (neg.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)))) (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))) #<representation binary32>) () ())
#s(alt (log1p.f32 (neg.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)))) (patch (log1p.f32 (neg.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)))) #<representation binary32>) () ())
#s(alt (PI.f32) (patch (PI.f32) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/8 binary32)) (sqrt.f32 u1))) (patch (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/8 binary32)) (sqrt.f32 u1))) #<representation binary32>) () ())
#s(alt (fma.f32 (fma.f32 (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/8 binary32)) (sqrt.f32 u1))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1)) (patch (fma.f32 (fma.f32 (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/8 binary32)) (sqrt.f32 u1))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1)) #<representation binary32>) () ())
#s(alt (log1p.f32 u1) (patch (log1p.f32 u1) #<representation binary32>) () ())
#s(alt (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (patch (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 u1 u1 u1) (patch (fma.f32 u1 u1 u1) #<representation binary32>) () ())
#s(alt (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))) (patch (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))) #<representation binary32>) () ())

Outputs
#s(alt (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (taylor 0 u1) (#s(alt (.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (taylor 0 u1) (#s(alt (.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI))))))))) (taylor 0 u1) (#s(alt (.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(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))))))))))) (taylor 0 u1) (#s(alt (.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (sqrt u1) (taylor 0 u1) (#s(alt #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))) (patch #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt u1) (* -1/4 (sqrt (pow u1 3)))) (taylor 0 u1) (#s(alt #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))) (patch #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt u1) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* 1/6 (sqrt u1))))) (taylor 0 u1) (#s(alt #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))) (patch #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))) #<representation binary32>) () ())) ())
#s(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)))))))) (taylor 0 u1) (#s(alt #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))) (patch #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (sqrt u1) (taylor 0 u1) (#s(alt (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1)) (patch (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt u1) (* -1/4 (sqrt (pow u1 3)))) (taylor 0 u1) (#s(alt (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1)) (patch (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt u1) (* u1 (+ (* -1/4 (sqrt u1)) (* 1/6 (sqrt (pow u1 3)))))) (taylor 0 u1) (#s(alt (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1)) (patch (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt u1) (* u1 (+ (* -1/4 (sqrt u1)) (* 1/6 (sqrt (pow u1 3)))))) (taylor 0 u1) (#s(alt (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1)) (patch (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (* -1/4 (sqrt (/ 1 u1))) (taylor 0 u1) (#s(alt (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (patch (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* -1/4 (sqrt u1)) (* 1/6 (sqrt (pow u1 3)))) u1) (taylor 0 u1) (#s(alt (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (patch (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* -1/4 (sqrt u1)) (* 1/6 (sqrt (pow u1 3)))) u1) (taylor 0 u1) (#s(alt (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (patch (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* -1/4 (sqrt u1)) (* 1/6 (sqrt (pow u1 3)))) u1) (taylor 0 u1) (#s(alt (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (patch (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (taylor 0 u1) (#s(alt (.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))) (patch (.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (taylor 0 u1) (#s(alt (.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))) (patch (.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI))))))))) (taylor 0 u1) (#s(alt (.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))) (patch (.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(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))))))))))) (taylor 0 u1) (#s(alt (.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))) (patch (.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (sqrt u1) (taylor 0 u1) (#s(alt #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (patch #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt u1) (* -1/4 (sqrt (pow u1 3)))) (taylor 0 u1) (#s(alt #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (patch #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt u1) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* 1/6 (sqrt u1))))) (taylor 0 u1) (#s(alt #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (patch #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) #<representation binary32>) () ())) ())
#s(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)))))))) (taylor 0 u1) (#s(alt #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (patch #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (sqrt u1) (taylor 0 u1) (#s(alt (sqrt.f32 u1) (patch (sqrt.f32 u1) #<representation binary32>) () ())) ())
#s(alt (sqrt u1) (taylor 0 u1) (#s(alt (sqrt.f32 u1) (patch (sqrt.f32 u1) #<representation binary32>) () ())) ())
#s(alt (sqrt u1) (taylor 0 u1) (#s(alt (sqrt.f32 u1) (patch (sqrt.f32 u1) #<representation binary32>) () ())) ())
#s(alt (sqrt u1) (taylor 0 u1) (#s(alt (sqrt.f32 u1) (patch (sqrt.f32 u1) #<representation binary32>) () ())) ())
#s(alt (* -1/4 (sqrt (/ 1 u1))) (taylor 0 u1) (#s(alt (fma.f32 (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/8 binary32)) (sqrt.f32 u1))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (patch (fma.f32 (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/8 binary32)) (sqrt.f32 u1))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* -1/4 (sqrt u1)) (* u1 (+ (* -1/32 (sqrt u1)) (* 1/6 (sqrt u1))))) u1) (taylor 0 u1) (#s(alt (fma.f32 (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/8 binary32)) (sqrt.f32 u1))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (patch (fma.f32 (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/8 binary32)) (sqrt.f32 u1))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* -1/4 (sqrt u1)) (* u1 (+ (* -1/8 (sqrt (pow u1 3))) (+ (* -1/32 (sqrt u1)) (* 1/6 (sqrt u1)))))) u1) (taylor 0 u1) (#s(alt (fma.f32 (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/8 binary32)) (sqrt.f32 u1))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (patch (fma.f32 (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/8 binary32)) (sqrt.f32 u1))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* -1/4 (sqrt u1)) (* u1 (+ (* -1/8 (sqrt (pow u1 3))) (+ (* -1/32 (sqrt u1)) (* 1/6 (sqrt u1)))))) u1) (taylor 0 u1) (#s(alt (fma.f32 (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/8 binary32)) (sqrt.f32 u1))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (patch (fma.f32 (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/8 binary32)) (sqrt.f32 u1))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ -1/32 u1) (taylor 0 u1) (#s(alt (fma.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/8 binary32)) (patch (fma.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/8 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ (- (* -1/8 u1) 1/32) u1) (taylor 0 u1) (#s(alt (fma.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/8 binary32)) (patch (fma.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/8 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ (- (* -1/8 u1) 1/32) u1) (taylor 0 u1) (#s(alt (fma.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/8 binary32)) (patch (fma.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/8 binary32)) #<representation binary32>) () ())) ())
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Calls

6 calls:

Time	Variable		Point	Expression
74.0ms	u2	@	inf	((* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) (pow (pow (log (+ 1 u1)) 1/4) 2) (+ (* (+ (* (sqrt (/ 1 u1)) -1/4) (* 1/6 (sqrt u1))) (* u1 u1)) (sqrt u1)) (+ (* (sqrt (/ 1 u1)) -1/4) (* 1/6 (sqrt u1))) (* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt u1) (cos (* (* 2 (PI)) u2)) (+ (* (+ (* 1/6 (sqrt (/ 1 u1))) (* (+ (* (/ 1/16 u1) -1/2) -1/8) (sqrt u1))) u1) (* (sqrt (/ 1 u1)) -1/4)) (+ (* (/ 1/16 u1) -1/2) -1/8) (* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (neg (neg (pow (log (+ 1 u1)) 2))) (* (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (* (sqrt (- (log (+ 1 (neg (pow (+ (* u1 u1) u1) 2)))) (log (* (- 1 (pow u1 3)) (- 1 (+ (* u1 u1) u1)))))) (cos (* (* 2 (PI)) u2))) (sqrt (- (log (+ 1 (neg (pow (+ (* u1 u1) u1) 2)))) (log (* (- 1 (pow u1 3)) (- 1 (+ (* u1 u1) u1)))))) (- (log (+ 1 (neg (pow (+ (* u1 u1) u1) 2)))) (log (* (- 1 (pow u1 3)) (- 1 (+ (* u1 u1) u1))))) (log (+ 1 (neg (pow (+ (* u1 u1) u1) 2)))) (PI) (+ (* 1/6 (sqrt (/ 1 u1))) (* (+ (* (/ 1/16 u1) -1/2) -1/8) (sqrt u1))) (+ (* (+ (* (+ (* 1/6 (sqrt (/ 1 u1))) (* (+ (* (/ 1/16 u1) -1/2) -1/8) (sqrt u1))) u1) (* (sqrt (/ 1 u1)) -1/4)) (* u1 u1)) (sqrt u1)) (log (+ 1 u1)) (pow (log (+ 1 u1)) 2) (+ (* u1 u1) u1) (log (* (- 1 (pow u1 3)) (- 1 (+ (* u1 u1) u1)))))
66.0ms	u2	@	-inf	((* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) (pow (pow (log (+ 1 u1)) 1/4) 2) (+ (* (+ (* (sqrt (/ 1 u1)) -1/4) (* 1/6 (sqrt u1))) (* u1 u1)) (sqrt u1)) (+ (* (sqrt (/ 1 u1)) -1/4) (* 1/6 (sqrt u1))) (* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt u1) (cos (* (* 2 (PI)) u2)) (+ (* (+ (* 1/6 (sqrt (/ 1 u1))) (* (+ (* (/ 1/16 u1) -1/2) -1/8) (sqrt u1))) u1) (* (sqrt (/ 1 u1)) -1/4)) (+ (* (/ 1/16 u1) -1/2) -1/8) (* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (neg (neg (pow (log (+ 1 u1)) 2))) (* (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (* (sqrt (- (log (+ 1 (neg (pow (+ (* u1 u1) u1) 2)))) (log (* (- 1 (pow u1 3)) (- 1 (+ (* u1 u1) u1)))))) (cos (* (* 2 (PI)) u2))) (sqrt (- (log (+ 1 (neg (pow (+ (* u1 u1) u1) 2)))) (log (* (- 1 (pow u1 3)) (- 1 (+ (* u1 u1) u1)))))) (- (log (+ 1 (neg (pow (+ (* u1 u1) u1) 2)))) (log (* (- 1 (pow u1 3)) (- 1 (+ (* u1 u1) u1))))) (log (+ 1 (neg (pow (+ (* u1 u1) u1) 2)))) (PI) (+ (* 1/6 (sqrt (/ 1 u1))) (* (+ (* (/ 1/16 u1) -1/2) -1/8) (sqrt u1))) (+ (* (+ (* (+ (* 1/6 (sqrt (/ 1 u1))) (* (+ (* (/ 1/16 u1) -1/2) -1/8) (sqrt u1))) u1) (* (sqrt (/ 1 u1)) -1/4)) (* u1 u1)) (sqrt u1)) (log (+ 1 u1)) (pow (log (+ 1 u1)) 2) (+ (* u1 u1) u1) (log (* (- 1 (pow u1 3)) (- 1 (+ (* u1 u1) u1)))))
51.0ms	u1	@	0	((* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) (pow (pow (log (+ 1 u1)) 1/4) 2) (+ (* (+ (* (sqrt (/ 1 u1)) -1/4) (* 1/6 (sqrt u1))) (* u1 u1)) (sqrt u1)) (+ (* (sqrt (/ 1 u1)) -1/4) (* 1/6 (sqrt u1))) (* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt u1) (cos (* (* 2 (PI)) u2)) (+ (* (+ (* 1/6 (sqrt (/ 1 u1))) (* (+ (* (/ 1/16 u1) -1/2) -1/8) (sqrt u1))) u1) (* (sqrt (/ 1 u1)) -1/4)) (+ (* (/ 1/16 u1) -1/2) -1/8) (* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (neg (neg (pow (log (+ 1 u1)) 2))) (* (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (* (sqrt (- (log (+ 1 (neg (pow (+ (* u1 u1) u1) 2)))) (log (* (- 1 (pow u1 3)) (- 1 (+ (* u1 u1) u1)))))) (cos (* (* 2 (PI)) u2))) (sqrt (- (log (+ 1 (neg (pow (+ (* u1 u1) u1) 2)))) (log (* (- 1 (pow u1 3)) (- 1 (+ (* u1 u1) u1)))))) (- (log (+ 1 (neg (pow (+ (* u1 u1) u1) 2)))) (log (* (- 1 (pow u1 3)) (- 1 (+ (* u1 u1) u1))))) (log (+ 1 (neg (pow (+ (* u1 u1) u1) 2)))) (PI) (+ (* 1/6 (sqrt (/ 1 u1))) (* (+ (* (/ 1/16 u1) -1/2) -1/8) (sqrt u1))) (+ (* (+ (* (+ (* 1/6 (sqrt (/ 1 u1))) (* (+ (* (/ 1/16 u1) -1/2) -1/8) (sqrt u1))) u1) (* (sqrt (/ 1 u1)) -1/4)) (* u1 u1)) (sqrt u1)) (log (+ 1 u1)) (pow (log (+ 1 u1)) 2) (+ (* u1 u1) u1) (log (* (- 1 (pow u1 3)) (- 1 (+ (* u1 u1) u1)))))
31.0ms	u2	@	0	((* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) (pow (pow (log (+ 1 u1)) 1/4) 2) (+ (* (+ (* (sqrt (/ 1 u1)) -1/4) (* 1/6 (sqrt u1))) (* u1 u1)) (sqrt u1)) (+ (* (sqrt (/ 1 u1)) -1/4) (* 1/6 (sqrt u1))) (* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt u1) (cos (* (* 2 (PI)) u2)) (+ (* (+ (* 1/6 (sqrt (/ 1 u1))) (* (+ (* (/ 1/16 u1) -1/2) -1/8) (sqrt u1))) u1) (* (sqrt (/ 1 u1)) -1/4)) (+ (* (/ 1/16 u1) -1/2) -1/8) (* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (neg (neg (pow (log (+ 1 u1)) 2))) (* (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (* (sqrt (- (log (+ 1 (neg (pow (+ (* u1 u1) u1) 2)))) (log (* (- 1 (pow u1 3)) (- 1 (+ (* u1 u1) u1)))))) (cos (* (* 2 (PI)) u2))) (sqrt (- (log (+ 1 (neg (pow (+ (* u1 u1) u1) 2)))) (log (* (- 1 (pow u1 3)) (- 1 (+ (* u1 u1) u1)))))) (- (log (+ 1 (neg (pow (+ (* u1 u1) u1) 2)))) (log (* (- 1 (pow u1 3)) (- 1 (+ (* u1 u1) u1))))) (log (+ 1 (neg (pow (+ (* u1 u1) u1) 2)))) (PI) (+ (* 1/6 (sqrt (/ 1 u1))) (* (+ (* (/ 1/16 u1) -1/2) -1/8) (sqrt u1))) (+ (* (+ (* (+ (* 1/6 (sqrt (/ 1 u1))) (* (+ (* (/ 1/16 u1) -1/2) -1/8) (sqrt u1))) u1) (* (sqrt (/ 1 u1)) -1/4)) (* u1 u1)) (sqrt u1)) (log (+ 1 u1)) (pow (log (+ 1 u1)) 2) (+ (* u1 u1) u1) (log (* (- 1 (pow u1 3)) (- 1 (+ (* u1 u1) u1)))))
6.0ms	u1	@	-inf	((* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) (pow (pow (log (+ 1 u1)) 1/4) 2) (+ (* (+ (* (sqrt (/ 1 u1)) -1/4) (* 1/6 (sqrt u1))) (* u1 u1)) (sqrt u1)) (+ (* (sqrt (/ 1 u1)) -1/4) (* 1/6 (sqrt u1))) (* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt u1) (cos (* (* 2 (PI)) u2)) (+ (* (+ (* 1/6 (sqrt (/ 1 u1))) (* (+ (* (/ 1/16 u1) -1/2) -1/8) (sqrt u1))) u1) (* (sqrt (/ 1 u1)) -1/4)) (+ (* (/ 1/16 u1) -1/2) -1/8) (* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (neg (neg (pow (log (+ 1 u1)) 2))) (* (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (* (sqrt (- (log (+ 1 (neg (pow (+ (* u1 u1) u1) 2)))) (log (* (- 1 (pow u1 3)) (- 1 (+ (* u1 u1) u1)))))) (cos (* (* 2 (PI)) u2))) (sqrt (- (log (+ 1 (neg (pow (+ (* u1 u1) u1) 2)))) (log (* (- 1 (pow u1 3)) (- 1 (+ (* u1 u1) u1)))))) (- (log (+ 1 (neg (pow (+ (* u1 u1) u1) 2)))) (log (* (- 1 (pow u1 3)) (- 1 (+ (* u1 u1) u1))))) (log (+ 1 (neg (pow (+ (* u1 u1) u1) 2)))) (PI) (+ (* 1/6 (sqrt (/ 1 u1))) (* (+ (* (/ 1/16 u1) -1/2) -1/8) (sqrt u1))) (+ (* (+ (* (+ (* 1/6 (sqrt (/ 1 u1))) (* (+ (* (/ 1/16 u1) -1/2) -1/8) (sqrt u1))) u1) (* (sqrt (/ 1 u1)) -1/4)) (* u1 u1)) (sqrt u1)) (log (+ 1 u1)) (pow (log (+ 1 u1)) 2) (+ (* u1 u1) u1) (log (* (- 1 (pow u1 3)) (- 1 (+ (* u1 u1) u1)))))

simplify344.0ms (3.8%)

Memory

-31.0MiB live, 388.2MiB allocated

Algorithm

1×	egg-herbie

Rules

10 332×	`lower-fma.f64`
10 332×	`lower-fma.f32`
6 986×	`lower-*.f64`
6 986×	`lower-*.f32`
3 982×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	727	9592
1	2226	8079
2	6985	7948
0	8225	7444

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 368

Calls

Call 1

Inputs
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 u1)))))) (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(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 u1)
(+ (sqrt u1) (* -1/4 (sqrt (pow u1 3))))
(+ (sqrt u1) (* u1 (+ (* -1/4 (sqrt u1)) (* 1/6 (sqrt (pow u1 3))))))
(+ (sqrt u1) (* u1 (+ (* -1/4 (sqrt u1)) (* 1/6 (sqrt (pow u1 3))))))
(* -1/4 (sqrt (/ 1 u1)))
(/ (+ (* -1/4 (sqrt u1)) (* 1/6 (sqrt (pow u1 3)))) u1)
(/ (+ (* -1/4 (sqrt u1)) (* 1/6 (sqrt (pow u1 3)))) u1)
(/ (+ (* -1/4 (sqrt u1)) (* 1/6 (sqrt (pow u1 3)))) u1)
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 u1)))))) (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(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 u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(* -1/4 (sqrt (/ 1 u1)))
(/ (+ (* -1/4 (sqrt u1)) (* u1 (+ (* -1/32 (sqrt u1)) (* 1/6 (sqrt u1))))) u1)
(/ (+ (* -1/4 (sqrt u1)) (* u1 (+ (* -1/8 (sqrt (pow u1 3))) (+ (* -1/32 (sqrt u1)) (* 1/6 (sqrt u1)))))) u1)
(/ (+ (* -1/4 (sqrt u1)) (* u1 (+ (* -1/8 (sqrt (pow u1 3))) (+ (* -1/32 (sqrt u1)) (* 1/6 (sqrt u1)))))) u1)
(/ -1/32 u1)
(/ (- (* -1/8 u1) 1/32) u1)
(/ (- (* -1/8 u1) 1/32) u1)
(/ (- (* -1/8 u1) 1/32) u1)
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 u1)))))) (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(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))))))))
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))))
(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))))
(* (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) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 u1)))))) (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(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 u1) (cos (* 2 (* u2 (PI)))))
(+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/4 (* 1/16 (/ 1 u1))))))))))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(* -1 (pow u1 2))
(* (pow u1 2) (- (* -2 u1) 1))
(* (pow u1 2) (- (* u1 (- (* -3/2 u1) 2)) 1))
(* (pow u1 2) (- (* u1 (- (* u1 (- (* -2 u1) 3/2)) 2)) 1))
(/ (+ (* -1/32 (sqrt u1)) (* 1/6 (sqrt u1))) u1)
(/ (+ (* -1/8 (sqrt (pow u1 3))) (+ (* -1/32 (sqrt u1)) (* 1/6 (sqrt u1)))) u1)
(/ (+ (* -1/8 (sqrt (pow u1 3))) (+ (* -1/32 (sqrt u1)) (* 1/6 (sqrt u1)))) u1)
(/ (+ (* -1/8 (sqrt (pow u1 3))) (+ (* -1/32 (sqrt u1)) (* 1/6 (sqrt u1)))) u1)
(sqrt u1)
(+ (sqrt u1) (* -1/4 (sqrt (pow u1 3))))
(+ (sqrt u1) (* u1 (+ (* -1/4 (sqrt u1)) (* u1 (+ (* -1/32 (sqrt u1)) (* 1/6 (sqrt u1)))))))
(+ (sqrt u1) (* u1 (+ (* -1/4 (sqrt u1)) (* u1 (+ (* -1/8 (sqrt (pow u1 3))) (+ (* -1/32 (sqrt u1)) (* 1/6 (sqrt u1))))))))
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))))
(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))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 u1))
(* u1 (+ 1 u1))
(* -1 u1)
(* u1 (- (* -3/2 u1) 1))
(* u1 (- (* u1 (- (* -7/3 u1) 3/2)) 1))
(* u1 (- (* u1 (- (* u1 (- (* -7/4 u1) 7/3)) 3/2)) 1))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1)))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2)))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2)))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) (* u1 (sqrt -1))) (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)))))) (* (pow u1 3) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 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)))))
(* 1/6 (sqrt (pow u1 5)))
(* (pow u1 3) (+ (* -1/4 (sqrt (/ 1 (pow u1 3)))) (* 1/6 (sqrt (/ 1 u1)))))
(* (pow u1 3) (+ (sqrt (/ 1 (pow u1 5))) (+ (* -1/4 (sqrt (/ 1 (pow u1 3)))) (* 1/6 (sqrt (/ 1 u1))))))
(* (pow u1 3) (+ (sqrt (/ 1 (pow u1 5))) (+ (* -1/4 (sqrt (/ 1 (pow u1 3)))) (* 1/6 (sqrt (/ 1 u1))))))
(* 1/6 (sqrt u1))
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(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
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(fma.f32 (.f32 (sqrt.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)))) (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))) (fma.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))) (.f32 u2 u2) (sqrt.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)))) (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))))
(+ (sqrt (- (log (- 1 (pow (+ u1 (pow u1 2)) 2))) (log (* (- 1 (+ u1 (pow u1 2))) (- 1 (pow u1 3)))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (log (- 1 (pow (+ u1 (pow u1 2)) 2))) (log (* (- 1 (+ u1 (pow u1 2))) (- 1 (pow u1 3)))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (- (log (- 1 (pow (+ u1 (pow u1 2)) 2))) (log (* (- 1 (+ u1 (pow u1 2))) (- 1 (pow u1 3)))))))) (* 2/3 (* (pow (PI) 4) (sqrt (- (log (- 1 (pow (+ u1 (pow u1 2)) 2))) (log (* (- 1 (+ u1 (pow u1 2))) (- 1 (pow u1 3)))))))))))))
(fma.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)))) (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))) (.f32 (pow.f32 u2 #s(literal 4 binary32)) (.f32 (sqrt.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)))) (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))) (fma.f32 (.f32 #s(literal -4/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (- 1 (pow (+ u1 (pow u1 2)) 2))) (log (* (- 1 (+ u1 (pow u1 2))) (- 1 (pow u1 3)))))))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)))) (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (- 1 (pow (+ u1 (pow u1 2)) 2))) (log (* (- 1 (+ u1 (pow u1 2))) (- 1 (pow u1 3)))))))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)))) (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (- 1 (pow (+ u1 (pow u1 2)) 2))) (log (* (- 1 (+ u1 (pow u1 2))) (- 1 (pow u1 3)))))))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)))) (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (- 1 (pow (+ u1 (pow u1 2)) 2))) (log (* (- 1 (+ u1 (pow u1 2))) (- 1 (pow u1 3)))))))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)))) (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (- 1 (pow (+ u1 (pow u1 2)) 2))) (log (* (- 1 (+ u1 (pow u1 2))) (- 1 (pow u1 3)))))))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)))) (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (- 1 (pow (+ u1 (pow u1 2)) 2))) (log (* (- 1 (+ u1 (pow u1 2))) (- 1 (pow u1 3)))))))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)))) (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (- 1 (pow (+ u1 (pow u1 2)) 2))) (log (* (- 1 (+ u1 (pow u1 2))) (- 1 (pow u1 3)))))))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)))) (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (- 1 (pow (+ u1 (pow u1 2)) 2))) (log (* (- 1 (+ u1 (pow u1 2))) (- 1 (pow u1 3)))))))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)))) (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))))

rewrite166.0ms (1.8%)

Memory

5.9MiB live, 360.3MiB allocated

Rules

4 336×	`lower-*.f64`
4 312×	`lower-*.f32`
3 002×	`lower-fma.f64`
2 988×	`lower-fma.f32`
2 926×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	419
0	111	388
1	386	334
2	2583	328
0	8515	312

Stop Event

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

Counts

27 → 626

Calls

Call 1

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

Outputs
(.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 (.f32 u1 u1) (fma.f32 (sqrt.f32 u1) #s(literal 1/6 binary32) (/.f32 #s(literal -1/4 binary32) (sqrt.f32 u1))) (sqrt.f32 u1))))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 (.f32 u1 u1) (fma.f32 (sqrt.f32 u1) #s(literal 1/6 binary32) (/.f32 #s(literal -1/4 binary32) (sqrt.f32 u1))) (sqrt.f32 u1))) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))
#s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 (*.f32 u1 u1) (fma.f32 (sqrt.f32 u1) #s(literal 1/6 binary32) (/.f32 #s(literal -1/4 binary32) (sqrt.f32 u1))) (sqrt.f32 u1)))
(.f32 (-.f32 (.f32 (pow.f32 (fma.f32 (sqrt.f32 u1) #s(literal 1/6 binary32) (/.f32 #s(literal -1/4 binary32) (sqrt.f32 u1))) #s(literal 2 binary32)) (pow.f32 u1 #s(literal 4 binary32))) u1) (/.f32 #s(literal 1 binary32) (-.f32 (.f32 (.f32 u1 u1) (fma.f32 (sqrt.f32 u1) #s(literal 1/6 binary32) (/.f32 #s(literal -1/4 binary32) (sqrt.f32 u1)))) (sqrt.f32 u1))))
(.f32 (fma.f32 (pow.f32 (fma.f32 (sqrt.f32 u1) #s(literal 1/6 binary32) (/.f32 #s(literal -1/4 binary32) (sqrt.f32 u1))) #s(literal 3 binary32)) (pow.f32 u1 #s(literal 6 binary32)) (pow.f32 u1 #s(literal 3/2 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (fma.f32 (sqrt.f32 u1) #s(literal 1/6 binary32) (/.f32 #s(literal -1/4 binary32) (sqrt.f32 u1))) #s(literal 2 binary32)) (pow.f32 u1 #s(literal 4 binary32)) (-.f32 u1 (.f32 (fma.f32 (sqrt.f32 u1) #s(literal 1/6 binary32) (/.f32 #s(literal -1/4 binary32) (sqrt.f32 u1))) (pow.f32 u1 #s(literal 5/2 binary32)))))))
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(+.f32 u1 (*.f32 u1 u1))
(exp.f32 (log.f32 (fma.f32 u1 u1 u1)))
(log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 (neg.f32 (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1))) #s(literal 2 binary32)))) (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1))))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1))) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 2 binary32)) (-.f32 (pow.f32 (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1))) #s(literal 2 binary32)) (*.f32 (log1p.f32 (neg.f32 (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1))))))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (neg.f32 (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1))) #s(literal 2 binary32))) (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))))
(/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1))) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (neg.f32 (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 2 binary32)) (-.f32 (pow.f32 (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1))) #s(literal 2 binary32)) (*.f32 (log1p.f32 (neg.f32 (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))))))
(-.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (log1p.f32 (fma.f32 (+.f32 u1 #s(literal 1 binary32)) u1 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)))))
(-.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))) (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))))
(-.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 9 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))) (log1p.f32 (+.f32 (pow.f32 u1 #s(literal 6 binary32)) (pow.f32 u1 #s(literal 3 binary32)))))
(-.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))))) (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))))
(-.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 9 binary32))))) (log1p.f32 (+.f32 (pow.f32 u1 #s(literal 6 binary32)) (pow.f32 u1 #s(literal 3 binary32)))))
(-.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 binary32))))) (log1p.f32 (fma.f32 (+.f32 u1 #s(literal 1 binary32)) u1 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)))))
(-.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32))))) (log1p.f32 (fma.f32 u1 u1 u1)))
(-.f32 (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))))) (log.f32 (.f32 (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 (+.f32 u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)))))
(-.f32 (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 9 binary32))))) (log.f32 (.f32 (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 (+.f32 u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (pow.f32 u1 #s(literal 3 binary32))))))
(-.f32 (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))))) (log.f32 (.f32 (fma.f32 (+.f32 u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) (+.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)))))
(-.f32 (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 9 binary32))))) (log.f32 (.f32 (fma.f32 (+.f32 u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (pow.f32 u1 #s(literal 3 binary32))))))
(-.f32 (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 binary32))))) (log.f32 (.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 (+.f32 u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) #s(literal 1 binary32)))))
(-.f32 (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32))))) (log.f32 (.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 (+.f32 u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)))))
(-.f32 (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 9 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 binary32))))) (log.f32 (.f32 (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (pow.f32 u1 #s(literal 3 binary32))) (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 (+.f32 u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) #s(literal 1 binary32)))))
(-.f32 (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 9 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32))))) (log.f32 (.f32 (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (pow.f32 u1 #s(literal 3 binary32))) (fma.f32 (+.f32 u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)))))
(-.f32 (+.f32 (log1p.f32 (neg.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)))) (log1p.f32 (neg.f32 (pow.f32 u1 #s(literal 3 binary32))))) (log1p.f32 (fma.f32 u1 u1 u1)))
(+.f32 (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1))) (log1p.f32 (neg.f32 (pow.f32 u1 #s(literal 3 binary32)))))
(+.f32 (log1p.f32 (neg.f32 (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1))))

eval200.0ms (2.2%)

Memory: 35.2MiB live, 544.6MiB allocated
Compiler: Compiled 43 054 to 5 244 computations (87.8% saved)

prune239.0ms (2.7%)

Memory

-17.6MiB live, 665.7MiB allocated

Pruning

72 alts after pruning (64 fresh and 8 done)

	Pruned	Kept	Total
New	1 297	24	1 321
Fresh	6	40	46
Picked	3	2	5
Done	0	6	6
Total	1 306	72	1 378

Accuracy

93.3%

Counts

1 378 → 72

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.5%	(/.f32 (.f32 (log1p.f32 u1) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1)))
	45.5%	(.f32 (pow.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	59.5%	(.f32 (pow.f32 (pow.f32 #s(approx (log (+ 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.2%	(.f32 (pow.f32 #s(approx (pow (log (+ 1 u1)) 1/4) (pow.f32 u1 #s(literal 1/4 binary32))) #s(literal 2 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	42.7%	(.f32 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	28.0%	(.f32 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log.f32 (+.f32 u1 #s(literal 1 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	44.6%	(.f32 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	43.6%	(.f32 (/.f32 (sqrt.f32 #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) u1) u1))) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	9.4%	(.f32 (/.f32 (sqrt.f32 #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1))) (sqrt.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 #s(literal 6 binary32)))) (log.f32 (.f32 (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	47.7%	(.f32 (/.f32 (sqrt.f32 #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1))) (sqrt.f32 (-.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)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	46.4%	(.f32 (/.f32 (sqrt.f32 #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1))) (sqrt.f32 (-.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 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	63.9%	(.f32 (/.f32 (sqrt.f32 #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1))) (sqrt.f32 (+.f32 (log.f32 (/.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (.f32 u1 u1) u1) #s(literal 2 binary32))))) (log1p.f32 (.f32 (neg.f32 u1) (-.f32 u1 #s(literal 1 binary32))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	40.9%	(.f32 (/.f32 (sqrt.f32 #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1))) (sqrt.f32 (neg.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	45.5%	(.f32 (/.f32 (sqrt.f32 #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1))) (sqrt.f32 (log1p.f32 (neg.f32 (neg.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	46.1%	(.f32 (/.f32 (sqrt.f32 #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1))) (sqrt.f32 (log.f32 (+.f32 u1 #s(literal 1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	44.5%	(.f32 (/.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1 binary32))) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	45.5%	(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	17.1%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 (fma.f32 (.f32 u1 u1) #s(literal 1 binary32) u1) #s(literal 2 binary32)))) (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	27.6%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)))) (-.f32 (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 9 binary32))))) (log1p.f32 (+.f32 (pow.f32 u1 #s(literal 6 binary32)) (pow.f32 u1 #s(literal 3 binary32))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	27.5%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)))) (-.f32 (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))))) (log1p.f32 (pow.f32 u1 #s(literal 3 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	28.9%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)))) (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	29.0%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)))) (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
	16.2%	(.f32 (sqrt.f32 (-.f32 #s(approx (log (+ 1 (neg (pow (+ ( u1 u1) u1) 2)))) (.f32 (.f32 (fma.f32 #s(literal -2 binary32) u1 #s(literal -1 binary32)) u1) u1)) (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	16.7%	(.f32 (sqrt.f32 (-.f32 #s(approx (log (+ 1 (neg (pow (+ ( u1 u1) u1) 2)))) (.f32 (neg.f32 u1) u1)) (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	52.4%	(.f32 (sqrt.f32 (+.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	52.8%	(.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	48.0%	(.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) #s(approx (log (pow (- 1 u1) -1/2)) (.f32 #s(literal 1/2 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	39.2%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (+.f32 u1 #s(literal 1 binary32)) (.f32 u1 (fma.f32 u1 u1 u1)))) (log.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))))
	55.1%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (.f32 u1 u1) u1) #s(literal 2 binary32))))) (log.f32 (.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (-.f32 (.f32 u1 u1) u1))))))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))))
	13.5%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 (pow.f32 u1 #s(literal 3 binary32)))) (log.f32 (/.f32 (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)))))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))))
	62.7%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32))))) (log1p.f32 (-.f32 (.f32 u1 u1) u1))))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))))
	56.0%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)))))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))))
✓	58.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))))
✓	57.9%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	59.7%	(.f32 (sqrt.f32 #s(approx (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	75.2%	(.f32 (exp.f32 (.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.5%	(.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 (.f32 u1 u1) (fma.f32 (sqrt.f32 u1) #s(literal 1/6 binary32) (/.f32 #s(literal -1/4 binary32) (sqrt.f32 u1))) (sqrt.f32 u1))))
	76.5%	(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 (fma.f32 (fma.f32 (+.f32 (/.f32 #s(literal -1/32 binary32) u1) #s(literal -1/8 binary32)) (sqrt.f32 u1) (/.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	65.6%	(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 (fma.f32 (fma.f32 (.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal 1/4 binary32)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	65.6%	(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	76.5%	(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 (.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) u1) (.f32 #s(literal 1/36 binary32) u1)) (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal -1/4 binary32) (sqrt.f32 u1)) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.5%	(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 #s(approx (+ ( (+ (* 1/6 (sqrt (/ 1 u1))) (* (+ (* (/ 1/16 u1) -1/2) -1/8) (sqrt u1))) u1) (* (sqrt (/ 1 u1)) -1/4)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	65.6%	(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	76.4%	(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal 3/2 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 u1 #s(literal 0 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.2%	(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (/.f32 (neg.f32 u1) (neg.f32 (sqrt.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	65.5%	(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	74.4%	(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (+.f32 (.f32 (fma.f32 (fma.f32 (+.f32 (/.f32 #s(literal -1/32 binary32) u1) #s(literal -1/8 binary32)) (sqrt.f32 u1) (/.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) u1 (/.f32 #s(literal -1/4 binary32) (sqrt.f32 u1))) (.f32 u1 u1)) (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	74.1%	(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (.f32 (-.f32 (pow.f32 (.f32 (fma.f32 (fma.f32 (+.f32 (/.f32 #s(literal -1/32 binary32) u1) #s(literal -1/8 binary32)) (sqrt.f32 u1) (/.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) u1 (/.f32 #s(literal -1/4 binary32) (sqrt.f32 u1))) (.f32 u1 u1)) #s(literal 2 binary32)) u1) (/.f32 #s(literal 1 binary32) (-.f32 (.f32 (fma.f32 (fma.f32 (+.f32 (/.f32 #s(literal -1/32 binary32) u1) #s(literal -1/8 binary32)) (sqrt.f32 u1) (/.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) u1 (/.f32 #s(literal -1/4 binary32) (sqrt.f32 u1))) (.f32 u1 u1)) (sqrt.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	65.4%	(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	76.3%	(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (/.f32 (-.f32 (.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32))) (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))) #s(literal 1 binary32)))
	76.4%	(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))
	76.2%	(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (.f32 (+.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))) (-.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32))))))
	76.4%	(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) u2) (.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))))
	76.4%	(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 (.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) u2) #s(literal 2 binary32)) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (cbrt.f32 (PI.f32))))))
	76.5%	(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
✓	76.5%	(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	65.6%	(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	64.8%	(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (exp.f32 (log.f32 (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	76.1%	(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) #s(approx (+ ( (+ (* (+ (* 1/6 (sqrt (/ 1 u1))) (* (+ (* (/ 1/16 u1) -1/2) -1/8) (sqrt u1))) u1) (* (sqrt (/ 1 u1)) -1/4)) (* u1 u1)) (sqrt u1)) (.f32 (fma.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -19/96 binary32) (/.f32 (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) u1)) u1)) (pow.f32 u1 #s(literal 4 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	39.1%	(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) #s(approx (+ ( (+ (* (+ (* 1/6 (sqrt (/ 1 u1))) (* (+ (* (/ 1/16 u1) -1/2) -1/8) (sqrt u1))) u1) (* (sqrt (/ 1 u1)) -1/4)) (* u1 u1)) (sqrt u1)) (.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 7 binary32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))) #s(literal -1/4 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 13/96 binary32) (.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))) (pow.f32 u1 #s(literal 4 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	59.7%	(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) #s(approx (+ ( (+ (* (sqrt (/ 1 u1)) -1/4) (* 1/6 (sqrt u1))) (* u1 u1)) (sqrt u1)) (.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal -1/4 binary32) (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))))) (pow.f32 u1 #s(literal 3 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.3%	(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) #s(approx (+ ( (+ (* (sqrt (/ 1 u1)) -1/4) (* 1/6 (sqrt u1))) (* u1 u1)) (sqrt u1)) (.f32 (neg.f32 (pow.f32 u1 #s(literal 3 binary32))) (-.f32 (.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (/.f32 (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	4.8%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32))) u1)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	4.8%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	4.9%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (-.f32 (.f32 (fma.f32 (fma.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/8 binary32)) (sqrt.f32 u1))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (.f32 u1 u1)) (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	4.8%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (-.f32 (.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1)) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	6.6%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (fma.f32 (sqrt.f32 u1) #s(literal 1 binary32) #s(literal 0 binary32)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
✓	4.8%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	65.6%	#s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1)))
	32.1%	#s(approx (* (sqrt (- (log (+ 1 (neg (pow (+ (* u1 u1) u1) 2)))) (log (* (- 1 (pow u1 3)) (- 1 (+ (* u1 u1) u1)))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)))) (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))))
	52.1%	#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))))))
	45.5%	#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 #s(literal 2 binary32))))

Compiler

Compiled 3 874 to 1 908 computations (50.7% saved)

regimes310.0ms (3.4%)

Memory

19.2MiB live, 495.8MiB allocated

Counts

94 → 2

Calls

Call 1

Inputs
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (fma.f32 (sqrt.f32 u1) #s(literal 1 binary32) #s(literal 0 binary32)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (-.f32 (.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1)) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1)))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (-.f32 (.f32 (fma.f32 (fma.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/8 binary32)) (sqrt.f32 u1))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (.f32 u1 u1)) (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32))) u1)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 (fma.f32 (fma.f32 (.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal 1/4 binary32)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (/.f32 (neg.f32 u1) (neg.f32 (sqrt.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 #s(literal 2 binary32))))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1)))) (+.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 #s(approx (+ ( (+ (* 1/6 (sqrt (/ 1 u1))) (* (+ (* (/ 1/16 u1) -1/2) -1/8) (sqrt u1))) u1) (* (sqrt (/ 1 u1)) -1/4)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
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(.f32 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))) (log1p.f32 (-.f32 (.f32 u1 u1) u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (+.f32 u1 #s(literal 1 binary32)) (.f32 u1 (fma.f32 u1 u1 u1)))) (log.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 (+.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)))) (-.f32 (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))))) (log1p.f32 (pow.f32 u1 #s(literal 3 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32))))) (log1p.f32 (-.f32 (.f32 u1 u1) u1))))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 (.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) u2) #s(literal 2 binary32)) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (cbrt.f32 (PI.f32))))))
(.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (-.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (/.f32 (-.f32 (.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32))) (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)))) (-.f32 (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 9 binary32))))) (log1p.f32 (+.f32 (pow.f32 u1 #s(literal 6 binary32)) (pow.f32 u1 #s(literal 3 binary32))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (+.f32 (-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 (pow.f32 u1 #s(literal 3 binary32)))) (log.f32 (/.f32 (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)))))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (.f32 u1 u1) u1) #s(literal 2 binary32))))) (log.f32 (.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (-.f32 (.f32 u1 u1) u1))))))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32))) (+.f32 (pow.f32 (-.f32 (.f32 u1 u1) u1) #s(literal 3 binary32)) #s(literal 1 binary32)))) (log1p.f32 (.f32 (-.f32 (.f32 u1 u1) u1) (-.f32 (-.f32 (.f32 u1 u1) u1) #s(literal 1 binary32))))))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))))

Outputs

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

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

Calls

10 calls:

50.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
42.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
28.0ms	(-.f32 #s(literal 1 binary32) u1)
28.0ms	cosTheta_i
28.0ms	u2

Results

Accuracy	Segments	Branch
76.5%	1	`cosTheta_i`
91.4%	2	`u1`
76.5%	1	`u2`
90.7%	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)))`
91.4%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
91.4%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
91.4%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
91.4%	2	`(-.f32 #s(literal 1 binary32) u1)`
76.5%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
76.5%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 45 to 64 computations (-42.2% saved)

regimes117.0ms (1.3%)

Memory

-25.8MiB live, 130.7MiB allocated

Counts

67 → 2

Calls

Call 1

Inputs
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (fma.f32 (sqrt.f32 u1) #s(literal 1 binary32) #s(literal 0 binary32)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (-.f32 (.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1)) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1)))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (-.f32 (.f32 (fma.f32 (fma.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/8 binary32)) (sqrt.f32 u1))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (.f32 u1 u1)) (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32))) u1)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 (fma.f32 (fma.f32 (.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal 1/4 binary32)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (/.f32 (neg.f32 u1) (neg.f32 (sqrt.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 #s(literal 2 binary32))))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1)))) (+.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 #s(approx (+ ( (+ (* 1/6 (sqrt (/ 1 u1))) (* (+ (* (/ 1/16 u1) -1/2) -1/8) (sqrt u1))) u1) (* (sqrt (/ 1 u1)) -1/4)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 (.f32 u1 u1) (fma.f32 (sqrt.f32 u1) #s(literal 1/6 binary32) (/.f32 #s(literal -1/4 binary32) (sqrt.f32 u1))) (sqrt.f32 u1))))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 (.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) u1) (.f32 #s(literal 1/36 binary32) u1)) (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal -1/4 binary32) (sqrt.f32 u1)) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (exp.f32 (log.f32 (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (+.f32 (.f32 (fma.f32 (fma.f32 (+.f32 (/.f32 #s(literal -1/32 binary32) u1) #s(literal -1/8 binary32)) (sqrt.f32 u1) (/.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) u1 (/.f32 #s(literal -1/4 binary32) (sqrt.f32 u1))) (.f32 u1 u1)) (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 (fma.f32 (fma.f32 (+.f32 (/.f32 #s(literal -1/32 binary32) u1) #s(literal -1/8 binary32)) (sqrt.f32 u1) (/.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/8 binary32)) (sqrt.f32 u1))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal 3/2 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 u1 #s(literal 0 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (/.f32 (sqrt.f32 #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1))) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (/.f32 (sqrt.f32 #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1))) (sqrt.f32 (log.f32 (+.f32 u1 #s(literal 1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (/.f32 (sqrt.f32 #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1))) (sqrt.f32 (log1p.f32 (neg.f32 (neg.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (/.f32 (sqrt.f32 #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) u1) u1))) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))))))
(.f32 (/.f32 (sqrt.f32 #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1))) (sqrt.f32 (neg.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 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)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (pow.f32 #s(approx (pow (log (+ 1 u1)) 1/4) (pow.f32 u1 #s(literal 1/4 binary32))) #s(literal 2 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (exp.f32 (.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (pow.f32 #s(approx (log (+ 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (.f32 (log1p.f32 u1) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) #s(approx (log (pow (- 1 u1) -1/2)) (.f32 #s(literal 1/2 binary32) u1)))) (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))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (-.f32 #s(approx (log (+ 1 (neg (pow (+ ( u1 u1) u1) 2)))) (.f32 (neg.f32 u1) u1)) (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (-.f32 #s(approx (log (+ 1 (neg (pow (+ ( u1 u1) u1) 2)))) (.f32 (.f32 (fma.f32 #s(literal -2 binary32) u1 #s(literal -1 binary32)) u1) u1)) (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (/.f32 (sqrt.f32 #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1))) (sqrt.f32 (-.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)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) #s(approx (+ ( (+ (* (sqrt (/ 1 u1)) -1/4) (* 1/6 (sqrt u1))) (* u1 u1)) (sqrt u1)) (.f32 (neg.f32 (pow.f32 u1 #s(literal 3 binary32))) (-.f32 (.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (/.f32 (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) u1))))) (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 (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 (log.f32 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (.f32 (-.f32 (pow.f32 (.f32 (fma.f32 (fma.f32 (+.f32 (/.f32 #s(literal -1/32 binary32) u1) #s(literal -1/8 binary32)) (sqrt.f32 u1) (/.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) u1 (/.f32 #s(literal -1/4 binary32) (sqrt.f32 u1))) (.f32 u1 u1)) #s(literal 2 binary32)) u1) (/.f32 #s(literal 1 binary32) (-.f32 (.f32 (fma.f32 (fma.f32 (+.f32 (/.f32 #s(literal -1/32 binary32) u1) #s(literal -1/8 binary32)) (sqrt.f32 u1) (/.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) u1 (/.f32 #s(literal -1/4 binary32) (sqrt.f32 u1))) (.f32 u1 u1)) (sqrt.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) u2) (.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))))
#s(approx (* (sqrt (- (log (+ 1 (neg (pow (+ (* u1 u1) u1) 2)))) (log (* (- 1 (pow u1 3)) (- 1 (+ (* u1 u1) u1)))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)))) (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) #s(approx (+ ( (+ (* (+ (* 1/6 (sqrt (/ 1 u1))) (* (+ (* (/ 1/16 u1) -1/2) -1/8) (sqrt u1))) u1) (* (sqrt (/ 1 u1)) -1/4)) (* u1 u1)) (sqrt u1)) (.f32 (fma.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -19/96 binary32) (/.f32 (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) u1)) u1)) (pow.f32 u1 #s(literal 4 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (.f32 (+.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))) (-.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32))))))
(.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 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (-.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))))
(.f32 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log.f32 (+.f32 u1 #s(literal 1 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (/.f32 (sqrt.f32 #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1))) (sqrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))) (log1p.f32 (-.f32 (.f32 u1 u1) u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (/.f32 (sqrt.f32 #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1))) (sqrt.f32 (-.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 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) #s(approx (+ ( (+ (* (sqrt (/ 1 u1)) -1/4) (* 1/6 (sqrt u1))) (* u1 u1)) (sqrt u1)) (.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal -1/4 binary32) (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))))) (pow.f32 u1 #s(literal 3 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Outputs

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

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

Calls

5 calls:

29.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
23.0ms	(-.f32 #s(literal 1 binary32) u1)
23.0ms	u1
21.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
17.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
91.3%	2	`u1`
91.3%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
91.3%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
91.3%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
91.3%	2	`(-.f32 #s(literal 1 binary32) u1)`

Compiler

Compiled 19 to 29 computations (-52.6% saved)

regimes65.0ms (0.7%)

Memory

-3.6MiB live, 155.6MiB allocated

Counts

32 → 2

Calls

Call 1

Inputs
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (fma.f32 (sqrt.f32 u1) #s(literal 1 binary32) #s(literal 0 binary32)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (-.f32 (.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1)) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1)))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (-.f32 (.f32 (fma.f32 (fma.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/8 binary32)) (sqrt.f32 u1))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (.f32 u1 u1)) (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32))) u1)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 (fma.f32 (fma.f32 (.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal 1/4 binary32)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (/.f32 (neg.f32 u1) (neg.f32 (sqrt.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 #s(literal 2 binary32))))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1)))) (+.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 #s(approx (+ ( (+ (* 1/6 (sqrt (/ 1 u1))) (* (+ (* (/ 1/16 u1) -1/2) -1/8) (sqrt u1))) u1) (* (sqrt (/ 1 u1)) -1/4)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 (.f32 u1 u1) (fma.f32 (sqrt.f32 u1) #s(literal 1/6 binary32) (/.f32 #s(literal -1/4 binary32) (sqrt.f32 u1))) (sqrt.f32 u1))))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 (.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) u1) (.f32 #s(literal 1/36 binary32) u1)) (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal -1/4 binary32) (sqrt.f32 u1)) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (exp.f32 (log.f32 (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (+.f32 (.f32 (fma.f32 (fma.f32 (+.f32 (/.f32 #s(literal -1/32 binary32) u1) #s(literal -1/8 binary32)) (sqrt.f32 u1) (/.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) u1 (/.f32 #s(literal -1/4 binary32) (sqrt.f32 u1))) (.f32 u1 u1)) (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 (fma.f32 (fma.f32 (+.f32 (/.f32 #s(literal -1/32 binary32) u1) #s(literal -1/8 binary32)) (sqrt.f32 u1) (/.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/8 binary32)) (sqrt.f32 u1))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Outputs

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

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

Calls

6 calls:

13.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
11.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
10.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
9.0ms	(-.f32 #s(literal 1 binary32) u1)
9.0ms	u1

Results

Accuracy	Segments	Branch
85.5%	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)))`
84.8%	2	`u1`
84.8%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
84.8%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
84.8%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
84.8%	2	`(-.f32 #s(literal 1 binary32) u1)`

Compiler

Compiled 32 to 43 computations (-34.4% saved)

regimes45.0ms (0.5%)

Memory

27.4MiB live, 145.5MiB allocated

Counts

20 → 1

Calls

Call 1

Inputs
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (fma.f32 (sqrt.f32 u1) #s(literal 1 binary32) #s(literal 0 binary32)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (-.f32 (.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1)) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1)))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (-.f32 (.f32 (fma.f32 (fma.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/8 binary32)) (sqrt.f32 u1))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (.f32 u1 u1)) (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32))) u1)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 (fma.f32 (fma.f32 (.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal 1/4 binary32)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (/.f32 (neg.f32 u1) (neg.f32 (sqrt.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

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

Calls

7 calls:

7.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
7.0ms	u1
6.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
6.0ms	(-.f32 #s(literal 1 binary32) u1)
6.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
76.5%	1	`cosTheta_i`
76.5%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
76.5%	1	`(-.f32 #s(literal 1 binary32) u1)`
76.5%	1	`u1`
76.5%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
76.5%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
76.5%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`

Compiler

Compiled 33 to 46 computations (-39.4% saved)

regimes59.0ms (0.7%)

Memory

-35.3MiB live, 100.0MiB allocated

Accuracy

Total -20.1b remaining (-182.5%)

Threshold costs -20.1b (-182.5%)

Counts

14 → 1

Calls

Call 1

Inputs
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (fma.f32 (sqrt.f32 u1) #s(literal 1 binary32) #s(literal 0 binary32)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (-.f32 (.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1)) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1)))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (-.f32 (.f32 (fma.f32 (fma.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/8 binary32)) (sqrt.f32 u1))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (.f32 u1 u1)) (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32))) u1)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (fma.f32 (fma.f32 (fma.f32 (.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal 1/4 binary32)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))

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

Calls

10 calls:

17.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
5.0ms	u2
5.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
4.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
4.0ms	(-.f32 #s(literal 1 binary32) u1)

Results

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

Compiler

Compiled 45 to 64 computations (-42.2% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9997726678848267	0.9997959733009338

Compiler

Compiled 16 to 20 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9997726678848267	0.9997959733009338

Compiler

Compiled 16 to 20 computations (-25% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.019274048507213593	0.019319791346788406

Compiler

Compiled 16 to 20 computations (-25% saved)

simplify23.0ms (0.3%)

Memory

25.1MiB live, 64.9MiB allocated

Algorithm

1×	egg-herbie

Rules

24×	`-commutative-binary32-.f32`
6×	`sub-neg-binary32-neg.f32-+.f32--.f32`
6×	`+-commutative-binary32-+.f32`
4×	`neg-mul-1-binary32-*.f32-neg.f32`
4×	`neg-sub0-binary32--.f32-neg.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	185
1	73	185
2	78	185
3	81	185
4	82	185

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 16773525/16777216 binary32)) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32))))) (.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 16773525/16777216 binary32)) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 10361609/536870912 binary32)) (.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 #s(literal 2 binary32)))))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))

Outputs
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 16773525/16777216 binary32)) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32))))) (.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 16773525/16777216 binary32)) (.f32 (cos.f32 (.f32 (.f32 (.f32 u2 (cbrt.f32 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))) (.f32 (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1))))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 16773525/16777216 binary32)) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 16773525/16777216 binary32)) (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))) (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1))))
(if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 10361609/536870912 binary32)) (.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 #s(literal 2 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 10361609/536870912 binary32)) (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1))) #s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.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)) #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)) #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)))

soundness453.0ms (5%)

Memory

-0.4MiB live, 435.7MiB allocated

Rules

9 920×	`lower-fma.f64`
9 920×	`lower-fma.f32`
8 914×	`lower-fma.f64`
8 914×	`lower-fma.f32`
7 384×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	911	9450
1	2784	8035
0	8348	7629
0	13	33
0	22	33
1	65	33
2	320	33
3	2355	31
0	8649	23
0	593	8040
1	1779	6876
2	5683	6807
0	8412	6397

Stop Event

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

Compiler

Compiled 245 to 150 computations (38.8% saved)

preprocess79.0ms (0.9%)

Memory

-19.7MiB live, 134.5MiB allocated

Remove

(abs cosTheta_i)

(abs u2)

Compiler

Compiled 682 to 420 computations (38.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	40	310
0	69	290
1	102	278
2	149	275
3	197	275
4	231	275
5	274	275
6	327	275
7	368	275
8	441	275
9	441	275
10	498	275
11	511	275
12	516	275
13	527	275
14	527	275
0	527	269

Iter	Nodes	Cost
0	40	310
0	69	290
1	102	278
2	149	275
3	197	275
4	231	275
5	274	275
6	327	275
7	368	275
8	441	275
9	441	275
10	498	275
11	511	275
12	516	275
13	527	275
14	527	275
0	527	269

start0.0ms (0%)

analyze344.0ms (3.8%)

sample2.2s (24.6%)

explain300.0ms (3.3%)

preprocess48.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize81.0ms (0.9%)

series73.0ms (0.8%)

simplify218.0ms (2.4%)

rewrite195.0ms (2.2%)

eval63.0ms (0.7%)

prune81.0ms (0.9%)

simplify23.0ms (0.3%)

localize150.0ms (1.7%)

series172.0ms (1.9%)

simplify444.0ms (4.9%)

rewrite142.0ms (1.6%)

eval151.0ms (1.7%)

prune136.0ms (1.5%)

simplify145.0ms (1.6%)

localize144.0ms (1.6%)

series71.0ms (0.8%)

simplify509.0ms (5.6%)

rewrite175.0ms (1.9%)

eval161.0ms (1.8%)

prune274.0ms (3%)

simplify152.0ms (1.7%)

localize161.0ms (1.8%)

series273.0ms (3%)

simplify344.0ms (3.8%)

rewrite166.0ms (1.8%)

eval200.0ms (2.2%)

prune239.0ms (2.7%)

regimes310.0ms (3.4%)

regimes117.0ms (1.3%)

regimes65.0ms (0.7%)

regimes45.0ms (0.5%)

regimes59.0ms (0.7%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify23.0ms (0.3%)

soundness453.0ms (5%)

preprocess79.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	40	310
0	69	290
1	102	278
2	149	275
3	197	275
4	231	275
5	274	275
6	327	275
7	368	275
8	441	275
9	441	275
10	498	275
11	511	275
12	516	275
13	527	275
14	527	275
0	527	269