Metrics for Beckmann Sample, near normal, slope

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze448.0ms (3.6%)

Memory

23.8MiB live, 426.0MiB 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 (17.2%)

Memory

28.1MiB live, 2 660.0MiB allocated

Samples

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

Precisions

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

const: 319.0ms (22.5% of total)

ival-log: 267.0ms (18.8% of total)

ival-mult: 243.0ms (17.1% of total)

ival-<=: 180.0ms (12.7% of total)

ival-cos: 136.0ms (9.6% of total)

ival-sub: 76.0ms (5.4% of total)

ival-sqrt: 55.0ms (3.9% of total)

ival-neg: 43.0ms (3% of total)

ival-and: 33.0ms (2.3% of total)

ival-pi: 29.0ms (2% of total)

ival->: 25.0ms (1.8% of total)

exact: 8.0ms (0.6% of total)

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

Bogosity

explain137.0ms (1.1%)

Memory

-4.0MiB live, 315.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
209	1	(0.9999757409095764 0.0066322688944637775 2.0246801568646333e-7)	9	(0.9999549984931946 0.011478348635137081 7.594546103106836e-10)	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
1	0	-	1	(0.9999666810035706 2.9035280846301248e-8 0.7697181701660156)	`(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	201	24

Confusion

	Predicted +	Predicted -
+	195	3
-	6	52

Precision

0.9701492537313433

Recall

0.9848484848484849

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	195	3	0
-	6	21	31

Precision?

0.88

Recall?

1.0

Freqs

test

number	freq
0	55
1	201

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

51.0ms

512×

valid

Compiler

Compiled 120 to 46 computations (61.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 9.0ms (26.8% of total)

ival-log: 8.0ms (23.8% of total)

ival-cos: 6.0ms (17.9% of total)

ival-sub: 3.0ms (8.9% of total)

ival-sqrt: 3.0ms (8.9% of total)

ival-pi: 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)

preprocess47.0ms (0.4%)

Memory

30.7MiB live, 72.1MiB 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 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))

Symmetry

(abs u2)

(abs cosTheta_i)

Compiler

Compiled 16 to 14 computations (12.5% saved)

eval0.0ms (0%)

Memory: 0.7MiB live, 0.7MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.6%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Compiler

Compiled 16 to 14 computations (12.5% saved)

simplify8.0ms (0.1%)

Memory

-26.2MiB live, 12.9MiB 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 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(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 #s(literal 2 binary32) (.f32 (PI.f32) u2)))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2

localize39.0ms (0.3%)

Memory

18.9MiB live, 97.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.11328125	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
accuracy	0.12109375	(.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	0.30078125	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	15.115775911520043	(log.f32 (-.f32 #s(literal 1 binary32) u1))

Samples

27.0ms

256×

valid

Compiler

Compiled 52 to 16 computations (69.2% saved)

Precisions

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

ival-mult: 5.0ms (27.4% of total)

ival-log: 4.0ms (21.9% of total)

ival-cos: 3.0ms (16.4% of total)

ival-sqrt: 2.0ms (10.9% of total)

ival-pi: 1.0ms (5.5% of total)

ival-sub: 1.0ms (5.5% of total)

ival-neg: 1.0ms (5.5% of total)

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

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

exact: 0.0ms (0% of total)

series152.0ms (1.2%)

Memory

-7.5MiB live, 77.8MiB 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 (+ (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 (* -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 (- (* -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 (+ (* -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 (+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 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 (* (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 (* (* (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>) () ())) ())
#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) (+ 1/3 (* 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))))))))) (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 (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (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

18 calls:

Time	Variable		Point	Expression
105.0ms	u2	@	0	(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
36.0ms	u2	@	inf	(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
2.0ms	u1	@	-inf	(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
1.0ms	u1	@	inf	(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
1.0ms	u1	@	0	(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))

simplify232.0ms (1.8%)

Memory

-7.5MiB live, 340.3MiB 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	2728	1335
3	6882	1298
0	8134	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))
(+ (log -1) (* -1 (log (/ 1 u1))))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
(* -1 (log (/ -1 u1)))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(log (/ -1 u1))
(- (/ 1 u1) (* -1 (log (/ -1 u1))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))

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

rewrite219.0ms (1.7%)

Memory

39.3MiB live, 315.3MiB 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
(log1p.f32 u1)
(log1p.f32 (neg.f32 u1))
(log1p.f32 (neg.f32 (neg.f32 u1)))
(neg.f32 (neg.f32 (log1p.f32 u1)))
(neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))))
(+.f32 (log1p.f32 u1) #s(literal 0 binary32))
(+.f32 (neg.f32 (log1p.f32 u1)) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
(+.f32 #s(literal 0 binary32) (log1p.f32 u1))
(+.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (neg.f32 (log1p.f32 (fma.f32 u1 u1 u1))))
(+.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal 1 binary32))))
(+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (neg.f32 (log1p.f32 u1)))
(+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))))
(+.f32 (log.f32 (neg.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))))))
(+.f32 (log.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) u1))))
(+.f32 (neg.f32 (log1p.f32 (fma.f32 u1 u1 u1))) (log1p.f32 (.f32 u1 (.f32 u1 u1))))
(+.f32 (log.f32 (/.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (log1p.f32 u1))
(+.f32 (log.f32 (/.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))
(+.f32 (log.f32 (/.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1))))
(+.f32 (log.f32 (/.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) #s(literal 1 binary32))) (neg.f32 (log1p.f32 u1)))
(+.f32 (log.f32 (/.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1)))
(+.f32 (log.f32 (/.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (neg.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))))) (log.f32 (neg.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))))
(+.f32 (log.f32 (/.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (log.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32))))
(fma.f32 (log1p.f32 u1) #s(literal -1 binary32) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
(fma.f32 #s(literal -1 binary32) (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
(fma.f32 #s(literal -1 binary32) (neg.f32 (log1p.f32 u1)) #s(literal 0 binary32))
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(/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 2 binary32)))) (sqrt.f32 (log.f32 (.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))))))
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(/.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (sqrt.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))
(/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1)))
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(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (neg.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 #s(literal -1 binary32)))
(*.f32 (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/4 binary32)) (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))) (sqrt.f32 (pow.f32 (log1p.f32 u1) #s(literal -2 binary32))))
(*.f32 (sqrt.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log1p.f32 u1))))
(neg.f32 (log1p.f32 u1))
(exp.f32 (log.f32 (neg.f32 (log1p.f32 u1))))
(+.f32 (log1p.f32 u1) (neg.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
(+.f32 (neg.f32 (log1p.f32 u1)) #s(literal 0 binary32))
(+.f32 #s(literal 0 binary32) (neg.f32 (log1p.f32 u1)))
(+.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (neg.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1)))))
(+.f32 (neg.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1)))) (log1p.f32 (fma.f32 u1 u1 u1)))
(+.f32 (neg.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1)))) (log.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))))))
(+.f32 (neg.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1)))) (log1p.f32 u1))
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) 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 (log.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))))) (log.f32 (neg.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))))
(+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (log.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32))))
(+.f32 (log.f32 (/.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))))))) (log1p.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)))))
(+.f32 (log.f32 (/.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1)))))) (log1p.f32 (.f32 u1 (*.f32 u1 u1))))
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1)))))) (log1p.f32 (.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 (.f32 u1 u1)))))) (log1p.f32 (.f32 u1 u1)))
(pow.f32 (/.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (log1p.f32 u1) (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) #s(literal -1 binary32))
(fma.f32 (log1p.f32 u1) #s(literal -1 binary32) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) (log1p.f32 u1) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) (neg.f32 (log1p.f32 u1)) (neg.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
(fma.f32 #s(literal -1 binary32) (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log1p.f32 (fma.f32 u1 u1 u1)))
(fma.f32 #s(literal -1 binary32) (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))))))
(fma.f32 #s(literal -1 binary32) (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))
(fma.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (pow.f32 (log1p.f32 u1) #s(literal -2 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 (exp.f32 (log.f32 (log1p.f32 u1))) (exp.f32 (log.f32 #s(literal -1 binary32))) #s(literal 0 binary32))
(fma.f32 (exp.f32 (log.f32 #s(literal -1 binary32))) (exp.f32 (log.f32 (log1p.f32 u1))) #s(literal 0 binary32))
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
(-.f32 #s(literal 0 binary32) (log1p.f32 u1))
(-.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log.f32 (*.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))))
(-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (.f32 u1 (.f32 u1 u1))))
(-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log.f32 (.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))
(-.f32 (neg.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1)))) (neg.f32 (log1p.f32 (fma.f32 u1 u1 u1))))
(-.f32 (neg.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1)))) (neg.f32 (log1p.f32 u1)))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32))))
(-.f32 (log.f32 (neg.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))) (log.f32 (neg.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))))
(-.f32 (log.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32))) (log.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(-.f32 (log1p.f32 (.f32 (fma.f32 u1 u1 u1) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)))) (log.f32 (.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(-.f32 (log1p.f32 (neg.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)))) (log.f32 (.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(-.f32 (/.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (fabs.f32 (log1p.f32 u1)))
(-.f32 (/.f32 #s(literal 0 binary32) (log1p.f32 u1)) (log1p.f32 u1))
(-.f32 (log.f32 (.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))) (log1p.f32 (.f32 u1 (*.f32 u1 u1))))
(-.f32 (log.f32 (.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 u1 u1 u1) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) #s(literal 1 binary32)))) (log.f32 (.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(-.f32 (log.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (log.f32 (.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(-.f32 (log.f32 (.f32 #s(literal 1 binary32) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (log.f32 (.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))
(-.f32 (log.f32 (.f32 #s(literal 1 binary32) (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)))) (log.f32 (*.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))))
(-.f32 (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32))) (fma.f32 (fma.f32 u1 u1 u1) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) #s(literal 1 binary32)))) (log1p.f32 (.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))
(-.f32 (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1))))
(-.f32 (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))) (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (log1p.f32 u1) (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (log1p.f32 u1) (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))))
(/.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (neg.f32 (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 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))
(/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (neg.f32 (log1p.f32 u1))))))
(/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (log1p.f32 u1))
(/.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) (neg.f32 (log1p.f32 u1)))
(/.f32 (exp.f32 (log.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))))) (exp.f32 (*.f32 #s(literal 2 binary32) (log.f32 (log1p.f32 u1)))))
(/.f32 (exp.f32 (log.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (exp.f32 (log.f32 (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 (neg.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (log1p.f32 u1))
(*.f32 (log1p.f32 u1) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (log1p.f32 u1))
(*.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (pow.f32 (log1p.f32 u1) #s(literal -2 binary32)))
(*.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log1p.f32 u1)))
(*.f32 (exp.f32 (log.f32 (log1p.f32 u1))) (exp.f32 (log.f32 #s(literal -1 binary32))))
(*.f32 (exp.f32 (log.f32 #s(literal -1 binary32))) (exp.f32 (log.f32 (log1p.f32 u1))))
(log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))
(.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))
(.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))
(.f32 (PI.f32) (.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) u2)))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))
(.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)) #s(literal 1 binary32))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 #s(literal 2 binary32) u2)))
(.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 (cbrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) u2)))
(.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 (*.f32 #s(literal 2 binary32) (cbrt.f32 (PI.f32))) u2))
(.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 (*.f32 u2 (cbrt.f32 (PI.f32))) #s(literal 2 binary32)))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) u2)))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))) u2))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 u2 (sqrt.f32 (PI.f32))) #s(literal 2 binary32)))
(.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))
(.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))
(.f32 (.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (*.f32 u2 (cbrt.f32 (PI.f32))))
(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))) (*.f32 u2 (sqrt.f32 (PI.f32))))
(.f32 (.f32 u2 (sqrt.f32 (PI.f32))) (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))))
(.f32 (.f32 u2 #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32)))
(.f32 (.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (*.f32 #s(literal 2 binary32) (cbrt.f32 (PI.f32))))
(.f32 (.f32 u2 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (cbrt.f32 (PI.f32)))
(.f32 (.f32 u2 (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))
(.f32 (.f32 (*.f32 #s(literal 2 binary32) u2) #s(literal 1 binary32)) (PI.f32))
(.f32 (.f32 (*.f32 #s(literal 2 binary32) u2) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(.f32 (.f32 (*.f32 #s(literal 2 binary32) u2) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(.f32 (.f32 (*.f32 #s(literal 2 binary32) u2) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))

eval36.0ms (0.3%)

Memory: -13.3MiB live, 58.8MiB allocated
Compiler: Compiled 7 051 to 1 364 computations (80.7% saved)

prune113.0ms (0.9%)

Memory

-7.0MiB live, 121.0MiB allocated

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	276	23	299
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	276	24	300

Accuracy

99.6%

Counts

300 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	76.2%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.2%	(.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)))
	99.0%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	50.9%	(.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))))))) (log1p.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	53.9%	(.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 (.f32 u1 u1)))))) (log1p.f32 (.f32 u1 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (fma.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (pow.f32 (log1p.f32 u1) #s(literal -2 binary32)) (log1p.f32 (.f32 u1 (neg.f32 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (fma.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log1p.f32 u1)) (log1p.f32 (.f32 u1 (neg.f32 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	46.9%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1)))) (log.f32 (.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	52.3%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u1 (.f32 u1 (.f32 u1 u1))))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	50.8%	(.f32 (sqrt.f32 (neg.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)))
	50.7%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (.f32 u1 (.f32 u1 u1))))) (log.f32 (.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	54.6%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	95.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	93.4%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	78.4%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.5%	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	95.3%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.4%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.3%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	75.0%	(.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 1 200 to 810 computations (32.5% saved)

simplify445.0ms (3.5%)

Memory

-1.4MiB live, 273.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f32 (log.f32 (/.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))))))) (log1p.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)))))
cost-diff	0	(sqrt.f32 (+.f32 (log.f32 (/.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))))))) (log1p.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32))))))
cost-diff	0	(.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))))))) (log1p.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff	64	(+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1)))))
cost-diff	64	(*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))
cost-diff	64	(.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 u1 u1))
cost-diff	64	(neg.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)))))
cost-diff	96	(-.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 u1 u1)))
cost-diff	0	#s(approx (log (- 1 u1)) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
cost-diff	0	(neg.f32 #s(approx (log (- 1 u1)) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))
cost-diff	0	(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))
cost-diff	0	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff	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	(log1p.f32 (neg.f32 u1))
cost-diff	0	(neg.f32 (log1p.f32 (neg.f32 u1)))
cost-diff	0	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
cost-diff	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Rules

9 664×	`lower-fma.f64`
9 656×	`lower-fma.f32`
2 434×	`lower--.f64`
2 430×	`lower--.f32`
2 228×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	668
0	101	556
1	188	542
2	372	527
3	656	513
4	1065	513
5	1887	513
6	2672	513
7	3441	513
8	4649	513
9	5231	513
10	5415	513
11	5532	513
12	5569	513
13	5620	513
14	5632	513
15	5642	513
16	5642	513
17	5642	513
18	6242	513
19	6506	513
20	6658	513
21	7824	513
0	8511	495

Stop Event

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

Calls

Call 1

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

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

localize258.0ms (2.1%)

Memory

20.1MiB live, 380.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.30078125	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	0.328788769536884	(.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (*.f32 u1 u1)))
accuracy	0.3514204714573573	(PI.f32)
accuracy	16.1073809187249	(log.f32 (/.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1)))))))
accuracy	0.3984375	(*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))
accuracy	0.46322250976844204	(-.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))))
accuracy	14.941071941651822	(log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))
accuracy	16.149068750017417	(log.f32 (-.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 u1 u1))))
accuracy	0.26171875	(*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
accuracy	0.30078125	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	0.3514204714573573	(PI.f32)
accuracy	2.015072073761151	#s(approx (log (- 1 u1)) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
accuracy	0.1171875	(.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	0.30078125	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	0.3514204714573573	(PI.f32)
accuracy	30.5259218814948	#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
accuracy	0.109375	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
accuracy	0.1171875	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy	0.30078125	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	0.3514204714573573	(PI.f32)

Samples

136.0ms	253×	0	valid
4.0ms	3×	5	exit

Compiler

Compiled 655 to 55 computations (91.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 117.0ms

const: 30.0ms (25.7% of total)

ival-mult: 30.0ms (25.7% of total)

ival-log: 15.0ms (12.8% of total)

ival-sqrt: 8.0ms (6.8% of total)

ival-add: 8.0ms (6.8% of total)

ival-neg: 7.0ms (6% of total)

ival-sub: 6.0ms (5.1% of total)

ival-log1p: 4.0ms (3.4% of total)

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

ival-div: 2.0ms (1.7% of total)

adjust: 1.0ms (0.9% of total)

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

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

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

exact: 0.0ms (0% of total)

series92.0ms (0.7%)

Memory

1.5MiB live, 157.2MiB allocated

Counts

28 → 372

Calls

Call 1

Inputs
#s(alt (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())
#s(alt (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (patch (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #<representation binary32>) () ())
#s(alt (neg.f32 (log1p.f32 (neg.f32 u1))) (patch (neg.f32 (log1p.f32 (neg.f32 u1))) #<representation binary32>) () ())
#s(alt (log1p.f32 (neg.f32 u1)) (patch (log1p.f32 (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 (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())
#s(alt (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (patch (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #<representation binary32>) () ())
#s(alt (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (patch (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #<representation binary32>) () ())
#s(alt #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) (patch #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) #<representation binary32>) () ())
#s(alt (-.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 u1 u1))) (patch (-.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 u1 u1))) #<representation binary32>) () ())
#s(alt (neg.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))))) (patch (neg.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))))) #<representation binary32>) () ())
#s(alt (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 u1 u1)) (patch (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 u1 u1)) #<representation binary32>) () ())
#s(alt (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)) (patch (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())
#s(alt (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))))) (patch (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))))) #<representation binary32>) () ())
#s(alt (.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))))))) (log1p.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))))))) (log1p.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())
#s(alt (sqrt.f32 (+.f32 (log.f32 (/.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))))))) (log1p.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)))))) (patch (sqrt.f32 (+.f32 (log.f32 (/.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))))))) (log1p.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)))))) #<representation binary32>) () ())
#s(alt (+.f32 (log.f32 (/.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))))))) (log1p.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32))))) (patch (+.f32 (log.f32 (/.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))))))) (log1p.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32))))) #<representation binary32>) () ())
#s(alt (PI.f32) (patch (PI.f32) #<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 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (patch (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))) #<representation binary32>) () ())
#s(alt (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 u1 u1)))) (patch (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 u1 u1)))) #<representation binary32>) () ())
#s(alt (log.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))) (patch (log.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())
#s(alt (-.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)))) (patch (-.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)))) #<representation binary32>) () ())
#s(alt (log.f32 (/.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))))))) (patch (log.f32 (/.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))))))) #<representation binary32>) () ())
#s(alt (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))) (patch (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))) #<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 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (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 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (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 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (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 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<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 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 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 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 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 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 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) (+ 1/3 (* 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))))))))) (taylor inf u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))) (taylor -inf u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))) (taylor -inf u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))) (taylor -inf u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))) (taylor -inf u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (log (- 1 u1))) (sqrt -1)) (taylor 0 u2) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1))) (taylor 0 u2) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1)))))))) (taylor 0 u2) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1)))))))))) (taylor 0 u2) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) (taylor inf u2) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) (taylor inf u2) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) (taylor inf u2) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) (taylor inf u2) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) (taylor -inf u2) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) (taylor -inf u2) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) (taylor -inf u2) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) (taylor -inf u2) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (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 (log1p.f32 (neg.f32 u1)))) (patch (sqrt.f32 (neg.f32 (log1p.f32 (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 (log1p.f32 (neg.f32 u1)))) (patch (sqrt.f32 (neg.f32 (log1p.f32 (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 (log1p.f32 (neg.f32 u1)))) (patch (sqrt.f32 (neg.f32 (log1p.f32 (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 (log1p.f32 (neg.f32 u1)))) (patch (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))) (taylor inf u1) (#s(alt (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (patch (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #<representation binary32>) () ())) ())
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#s(alt (- (+ (* -3 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1))) (* -2 (log (/ -1 u1)))) (taylor -inf u1) (#s(alt (-.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)))) (patch (-.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)))) #<representation binary32>) () ())) ())
#s(alt u1 (taylor 0 u1) (#s(alt (log.f32 (/.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))))))) (patch (log.f32 (/.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))))))) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 (* 1/2 u1))) (taylor 0 u1) (#s(alt (log.f32 (/.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))))))) (patch (log.f32 (/.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))))))) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 (* u1 (+ 1/2 (* -2/3 u1))))) (taylor 0 u1) (#s(alt (log.f32 (/.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))))))) (patch (log.f32 (/.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))))))) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (- (* 1/4 u1) 2/3)))))) (taylor 0 u1) (#s(alt (log.f32 (/.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))))))) (patch (log.f32 (/.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))))))) #<representation binary32>) () ())) ())
#s(alt (* 7 (log (/ 1 u1))) (taylor inf u1) (#s(alt (log.f32 (/.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))))))) (patch (log.f32 (/.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))))))) #<representation binary32>) () ())) ())
#s(alt (+ (* 7 (log (/ 1 u1))) (/ 1 u1)) (taylor inf u1) (#s(alt (log.f32 (/.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))))))) (patch (log.f32 (/.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))))))) #<representation binary32>) () ())) ())
#s(alt (+ (* 7 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (taylor inf u1) (#s(alt (log.f32 (/.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))))))) (patch (log.f32 (/.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))))))) #<representation binary32>) () ())) ())
#s(alt (- (+ (* 7 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (* 2/3 (/ 1 (pow u1 3)))) (taylor inf u1) (#s(alt (log.f32 (/.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))))))) (patch (log.f32 (/.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))))))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1) (* 7 (log (/ -1 u1)))) (taylor -inf u1) (#s(alt (log.f32 (/.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))))))) (patch (log.f32 (/.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))))))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1) (+ (* 7 (log (/ -1 u1))) (/ 1 u1))) (taylor -inf u1) (#s(alt (log.f32 (/.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))))))) (patch (log.f32 (/.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))))))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1) (+ (* 7 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))) (taylor -inf u1) (#s(alt (log.f32 (/.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))))))) (patch (log.f32 (/.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))))))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1) (+ (* -1 (/ (- (* -1 (/ (- 1/2 (* 2/3 (/ 1 u1))) u1)) 1) u1)) (* 7 (log (/ -1 u1))))) (taylor -inf u1) (#s(alt (log.f32 (/.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))))))) (patch (log.f32 (/.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))))))) #<representation binary32>) () ())) ())
#s(alt (pow u1 6) (taylor 0 u1) (#s(alt (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))) (patch (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))) #<representation binary32>) () ())) ())
#s(alt (pow u1 6) (taylor 0 u1) (#s(alt (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))) (patch (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))) #<representation binary32>) () ())) ())
#s(alt (pow u1 6) (taylor 0 u1) (#s(alt (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))) (patch (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))) #<representation binary32>) () ())) ())
#s(alt (pow u1 6) (taylor 0 u1) (#s(alt (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))) (patch (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))) #<representation binary32>) () ())) ())
#s(alt (pow u1 6) (taylor inf u1) (#s(alt (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))) (patch (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))) #<representation binary32>) () ())) ())
#s(alt (pow u1 6) (taylor inf u1) (#s(alt (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))) (patch (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))) #<representation binary32>) () ())) ())
#s(alt (pow u1 6) (taylor inf u1) (#s(alt (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))) (patch (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))) #<representation binary32>) () ())) ())
#s(alt (pow u1 6) (taylor inf u1) (#s(alt (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))) (patch (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))) #<representation binary32>) () ())) ())
#s(alt (pow u1 6) (taylor -inf u1) (#s(alt (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))) (patch (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))) #<representation binary32>) () ())) ())
#s(alt (pow u1 6) (taylor -inf u1) (#s(alt (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))) (patch (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))) #<representation binary32>) () ())) ())
#s(alt (pow u1 6) (taylor -inf u1) (#s(alt (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))) (patch (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))) #<representation binary32>) () ())) ())
#s(alt (pow u1 6) (taylor -inf u1) (#s(alt (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))) (patch (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))) #<representation binary32>) () ())) ())

Calls

93 calls:

Time	Variable		Point	Expression
40.0ms	u2	@	inf	(* (sqrt (+ (log (/ (+ (* u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (cos (* (* 2 (PI)) u2)))
9.0ms	u2	@	0	(* (sqrt (+ (log (/ (+ (* u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (cos (* (* 2 (PI)) u2)))
9.0ms	u1	@	0	(* (sqrt (+ (log (/ (+ (* u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (cos (* (* 2 (PI)) u2)))
2.0ms	u1	@	-inf	(* (sqrt (+ (log (/ (+ (* u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (cos (* (* 2 (PI)) u2)))
1.0ms	u1	@	inf	(* (sqrt (+ (log (/ (+ (* u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (cos (* (* 2 (PI)) u2)))

simplify326.0ms (2.6%)

Memory

-18.0MiB live, 447.6MiB allocated

Algorithm

1×	egg-herbie

Rules

10 108×	`lower-fma.f64`
10 108×	`lower-fma.f32`
6 732×	`lower-*.f64`
6 732×	`lower-*.f32`
3 940×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	669	7933
1	2081	6636
2	6444	6250
0	8454	5915

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 366

Calls

Call 1

Inputs
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
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(* (pow u1 3) (+ 1 (/ 1 u1)))
(* (pow u1 3) (+ 1 (/ 1 u1)))
(* (pow u1 3) (+ 1 (/ 1 u1)))
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(* (pow u1 3) (+ 1 (/ 1 u1)))
(* (pow u1 3) (+ 1 (/ 1 u1)))
(* (pow u1 3) (+ 1 (/ 1 u1)))
1
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(* (pow u1 2) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))
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1
1
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(+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))
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(+ (sqrt (+ (log (+ 1 (* (pow u1 3) (+ 1 (pow u1 3))))) (log (/ (+ 1 (+ u1 (pow u1 2))) (+ 1 (pow u1 9)))))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (+ (log (+ 1 (* (pow u1 3) (+ 1 (pow u1 3))))) (log (/ (+ 1 (+ u1 (pow u1 2))) (+ 1 (pow u1 9)))))))))
(+ (sqrt (+ (log (+ 1 (* (pow u1 3) (+ 1 (pow u1 3))))) (log (/ (+ 1 (+ u1 (pow u1 2))) (+ 1 (pow u1 9)))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (+ (log (+ 1 (* (pow u1 3) (+ 1 (pow u1 3))))) (log (/ (+ 1 (+ u1 (pow u1 2))) (+ 1 (pow u1 9)))))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (+ (log (+ 1 (* (pow u1 3) (+ 1 (pow u1 3))))) (log (/ (+ 1 (+ u1 (pow u1 2))) (+ 1 (pow u1 9)))))))))))
(+ (sqrt (+ (log (+ 1 (* (pow u1 3) (+ 1 (pow u1 3))))) (log (/ (+ 1 (+ u1 (pow u1 2))) (+ 1 (pow u1 9)))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (+ (log (+ 1 (* (pow u1 3) (+ 1 (pow u1 3))))) (log (/ (+ 1 (+ u1 (pow u1 2))) (+ 1 (pow u1 9)))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (+ (log (+ 1 (* (pow u1 3) (+ 1 (pow u1 3))))) (log (/ (+ 1 (+ u1 (pow u1 2))) (+ 1 (pow u1 9)))))))) (* 2/3 (* (pow (PI) 4) (sqrt (+ (log (+ 1 (* (pow u1 3) (+ 1 (pow u1 3))))) (log (/ (+ 1 (+ u1 (pow u1 2))) (+ 1 (pow u1 9)))))))))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log (+ 1 (* (pow u1 3) (+ 1 (pow u1 3))))) (log (/ (+ 1 (+ u1 (pow u1 2))) (+ 1 (pow u1 9)))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log (+ 1 (* (pow u1 3) (+ 1 (pow u1 3))))) (log (/ (+ 1 (+ u1 (pow u1 2))) (+ 1 (pow u1 9)))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log (+ 1 (* (pow u1 3) (+ 1 (pow u1 3))))) (log (/ (+ 1 (+ u1 (pow u1 2))) (+ 1 (pow u1 9)))))))
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(* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log (+ 1 (* (pow u1 3) (+ 1 (pow u1 3))))) (log (/ (+ 1 (+ u1 (pow u1 2))) (+ 1 (pow u1 9)))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log (+ 1 (* (pow u1 3) (+ 1 (pow u1 3))))) (log (/ (+ 1 (+ u1 (pow u1 2))) (+ 1 (pow u1 9)))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log (+ 1 (* (pow u1 3) (+ 1 (pow u1 3))))) (log (/ (+ 1 (+ u1 (pow u1 2))) (+ 1 (pow u1 9)))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log (+ 1 (* (pow u1 3) (+ 1 (pow u1 3))))) (log (/ (+ 1 (+ u1 (pow u1 2))) (+ 1 (pow u1 9)))))))
(sqrt u1)
(+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/4 (* 1/16 (/ 1 u1))))))))))
(sqrt (+ (* -6 (log (/ 1 u1))) (* 7 (log (/ 1 u1)))))
(+ (sqrt (+ (* -6 (log (/ 1 u1))) (* 7 (log (/ 1 u1))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (* -6 (log (/ 1 u1))) (* 7 (log (/ 1 u1)))))))))
(+ (sqrt (+ (* -6 (log (/ 1 u1))) (* 7 (log (/ 1 u1))))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (* -6 (log (/ 1 u1))) (* 7 (log (/ 1 u1)))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (+ (* -6 (log (/ 1 u1))) (* 7 (log (/ 1 u1))))))) (pow u1 2)) (sqrt (/ 1 (+ (* -6 (log (/ 1 u1))) (* 7 (log (/ 1 u1))))))))))
(+ (sqrt (+ (* -6 (log (/ 1 u1))) (* 7 (log (/ 1 u1))))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (* -6 (log (/ 1 u1))) (* 7 (log (/ 1 u1)))))))) (+ (* 1/2 (* (/ (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (+ (* -6 (log (/ 1 u1))) (* 7 (log (/ 1 u1))))))) (+ (* -6 (log (/ 1 u1))) (* 7 (log (/ 1 u1))))))) (pow u1 3)) (sqrt (/ 1 (+ (* -6 (log (/ 1 u1))) (* 7 (log (/ 1 u1)))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (+ (* -6 (log (/ 1 u1))) (* 7 (log (/ 1 u1))))))) (pow u1 2)) (sqrt (/ 1 (+ (* -6 (log (/ 1 u1))) (* 7 (log (/ 1 u1)))))))))))
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(+ (sqrt (+ (log -1) (+ (* -6 (log (/ -1 u1))) (* 7 (log (/ -1 u1)))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (log -1) (+ (* -6 (log (/ -1 u1))) (* 7 (log (/ -1 u1))))))))))
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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)))))))
(+ (* -6 (log (/ 1 u1))) (* 7 (log (/ 1 u1))))
(+ (* -6 (log (/ 1 u1))) (+ (* 7 (log (/ 1 u1))) (/ 1 u1)))
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(+ (log -1) (+ (* -6 (log (/ -1 u1))) (* 7 (log (/ -1 u1)))))
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(* 2 (* u2 (PI)))
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(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
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(* -1/3 (pow u1 3))
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u1
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(- (+ (log -1) (+ (* -3 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (+ (* -2 (log (/ 1 u1))) (/ 1 u1)))
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(- (+ (* -3 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))) (* -2 (log (/ -1 u1))))
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(* 7 (log (/ 1 u1)))
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(- (+ (* 7 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (* 2/3 (/ 1 (pow u1 3))))
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(pow u1 6)
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(pow u1 6)
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(pow u1 6)
(pow u1 6)

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

rewrite291.0ms (2.3%)

Memory

-0.7MiB live, 437.3MiB allocated

Rules

3 588×	`lower-/.f64`
3 586×	`lower-/.f32`
3 564×	`lower-*.f64`
3 536×	`lower-*.f32`
3 334×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	416
0	97	295
1	347	277
2	2530	252
0	9202	219

Stop Event

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

Counts

28 → 903

Calls

Call 1

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

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

eval216.0ms (1.7%)

Memory: 23.3MiB live, 325.6MiB allocated
Compiler: Compiled 65 440 to 6 122 computations (90.6% saved)

prune273.0ms (2.2%)

Memory

-15.7MiB live, 463.4MiB allocated

Pruning

33 alts after pruning (30 fresh and 3 done)

	Pruned	Kept	Total
New	1 471	26	1 497
Fresh	14	4	18
Picked	3	2	5
Done	0	1	1
Total	1 488	33	1 521

Accuracy

99.7%

Counts

1 521 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	92.7%	(.f32 (pow.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.9%	(.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) (.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (fma.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) (.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	99.0%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	96.5%	(.f32 (sqrt.f32 (+.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log.f32 (.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 (.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (.f32 u1 (.f32 u1 (.f32 u1 u1)))))) #s(literal -1 binary32))) (fma.f32 (.f32 u1 u1) (.f32 u1 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32))) #s(literal 1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	51.1%	(.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) #s(approx (+ 1 ( (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))) #s(literal 1 binary32)))) (log1p.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	53.9%	(.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 (.f32 u1 u1)))))) (log1p.f32 (.f32 u1 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	90.7%	(.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (log1p.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 #s(literal 2 binary32) (log1p.f32 u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	47.4%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 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)))
	53.0%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 u1 u1)))) (-.f32 (log.f32 (-.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)))) (log.f32 (-.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	50.7%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (.f32 u1 (.f32 u1 u1))))) (log.f32 (.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	51.1%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
✓	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	54.6%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	95.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1)))) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1)))) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.4%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (.f32 (fma.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))) #s(literal -1 binary32)) u1) (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.4%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (-.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	93.4%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
✓	93.4%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.1%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) #s(approx ( u1 (+ (* u1 (+ (* u1 -1/3) -1/2)) -1)) (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.2%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) #s(approx ( u1 (+ (* u1 (+ (* u1 -1/3) -1/2)) -1)) (.f32 (neg.f32 u1) (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.5%	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	95.3%	(.f32 (sqrt.f32 #s(approx (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1))))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.4%	(.f32 (sqrt.f32 #s(approx (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1))))) (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.3%	(.f32 (sqrt.f32 #s(approx (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1))))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	90.9%	(.f32 (exp.f32 (.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(literal 1/2 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	94.7%	(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (fma.f32 (.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1/4 binary32) (.f32 #s(literal 1/6 binary32) u1)) (.f32 (.f32 u1 (.f32 (sqrt.f32 u1) #s(literal 1/2 binary32))) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1)))) (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.7%	(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (fma.f32 (.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	89.3%	(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	78.4%	(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.7%	#s(approx (* (sqrt (+ (log (/ (+ (* u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (cos (* (* 2 (PI)) u2))) (fma.f32 (.f32 u1 u1) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))))

Compiler

Compiled 1 831 to 1 184 computations (35.3% saved)

simplify264.0ms (2.1%)

Memory

15.9MiB live, 278.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (log1p.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff	64	(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
cost-diff	64	(+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1))
cost-diff	256	(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
cost-diff	0	(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))
cost-diff	0	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
cost-diff	160	(*.f32 (PI.f32) (log.f32 (E.f32)))
cost-diff	3200	(log.f32 (E.f32))
cost-diff	0	(sqrt.f32 (.f32 u1 (.f32 u1 u1)))
cost-diff	0	(fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))
cost-diff	0	#s(approx (sqrt (+ (log (/ (+ (* u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)))
cost-diff	0	(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff	0	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
cost-diff	0	(sqrt.f32 u1)
cost-diff	0	#s(approx (sqrt (+ (log (/ (+ (* u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (sqrt.f32 u1))
cost-diff	0	(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff	0	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
cost-diff	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
cost-diff	160	(*.f32 (PI.f32) (log.f32 (E.f32)))
cost-diff	3200	(log.f32 (E.f32))

Rules

10 236×	`lower-fma.f64`
10 230×	`lower-fma.f32`
2 648×	`lower-*.f64`
2 626×	`lower-*.f32`
1 816×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	568
0	104	502
1	186	443
2	332	443
3	486	435
4	648	435
5	858	435
6	1390	435
7	2212	435
8	3088	435
9	4518	435
10	5808	435
11	6715	435
12	7207	435
13	7498	435
14	7786	435
15	7863	435
0	8007	418

Stop Event

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

Calls

Call 1

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

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

localize512.0ms (4.1%)

Memory

-92.0MiB live, 502.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.2890625	(+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1))
accuracy	0.30078125	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	0.3514204714573573	(PI.f32)
accuracy	22.500730476156175	(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
accuracy	0.3514204714573573	(PI.f32)
accuracy	0.35144863984460234	(E.f32)
accuracy	0.98828125	(log.f32 (E.f32))
accuracy	2.015072073761151	#s(approx (log (- 1 u1)) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
accuracy	0.21484375	(fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))
accuracy	0.30078125	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	0.3514204714573573	(PI.f32)
accuracy	2.984760208743848	#s(approx (sqrt (+ (log (/ (+ (* u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)))
accuracy	0.12890625	(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy	0.30078125	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	0.3514204714573573	(PI.f32)
accuracy	6.627103806500664	#s(approx (sqrt (+ (log (/ (+ (* u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (sqrt.f32 u1))
accuracy	0.30078125	(.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)
accuracy	0.3514204714573573	(PI.f32)
accuracy	0.35144863984460234	(E.f32)
accuracy	0.98828125	(log.f32 (E.f32))

Samples

330.0ms	168×	0	valid
92.0ms	85×	1	valid
6.0ms	3×	5	exit

Compiler

Compiled 524 to 62 computations (88.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 151.0ms

ival-sqrt: 35.0ms (23.2% of total)

ival-mult: 35.0ms (23.2% of total)

ival-log: 19.0ms (12.6% of total)

ival-add: 16.0ms (10.6% of total)

adjust: 12.0ms (7.9% of total)

ival-log1p: 8.0ms (5.3% of total)

ival-div: 6.0ms (4% of total)

ival-cos: 6.0ms (4% of total)

const: 4.0ms (2.6% of total)

ival-neg: 4.0ms (2.6% of total)

ival-sub: 3.0ms (2% of total)

ival-e: 3.0ms (2% of total)

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

exact: 1.0ms (0.7% of total)

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

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

series113.0ms (0.9%)

Memory

-28.4MiB live, 204.9MiB allocated

Counts

23 → 288

Calls

Call 1

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

Outputs
#s(alt (* (sqrt u1) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (* (PI) (log (E)))))))) (* (sqrt u1) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2)))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (* (PI) (log (E)))))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (* (PI) (log (E))))))))))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (* (PI) (log (E)))))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (* (PI) (log (E))))))))))))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2))) #<representation binary32>) () ())) ())
#s(alt (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))) (taylor inf u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))) (taylor inf u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))) (taylor inf u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))) (taylor inf u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2))) #<representation binary32>) () ())) ())
#s(alt (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))) (taylor -inf u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/2 (* (/ (cos (* 2 (* u2 (* (PI) (log (E)))))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))) (taylor -inf u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))) (taylor -inf u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))) (taylor -inf u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2))) #<representation binary32>) () ())) ())
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#s(alt (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log (+ 1 u1)) (log (/ 1 (- 1 (pow u1 2))))))) (taylor inf u2) (#s(alt (.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (log1p.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (log1p.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
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#s(alt (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log (+ 1 u1)) (log (/ 1 (- 1 (pow u1 2))))))) (taylor -inf u2) (#s(alt (.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (log1p.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (log1p.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log (+ 1 u1)) (log (/ 1 (- 1 (pow u1 2))))))) (taylor -inf u2) (#s(alt (.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (log1p.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (log1p.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log (+ 1 u1)) (log (/ 1 (- 1 (pow u1 2))))))) (taylor -inf u2) (#s(alt (.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (log1p.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (log1p.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log (+ 1 u1)) (log (/ 1 (- 1 (pow u1 2))))))) (taylor -inf u2) (#s(alt (.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (log1p.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (log1p.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (* 2 (* u2 (* (PI) (log (E))))) (taylor 0 u2) (#s(alt (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2) (patch (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2) #<representation binary32>) () ())) ())
#s(alt (* 2 (* u2 (* (PI) (log (E))))) (taylor 0 u2) (#s(alt (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2) (patch (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2) #<representation binary32>) () ())) ())
#s(alt (* 2 (* u2 (* (PI) (log (E))))) (taylor 0 u2) (#s(alt (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2) (patch (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2) #<representation binary32>) () ())) ())
#s(alt (* 2 (* u2 (* (PI) (log (E))))) (taylor 0 u2) (#s(alt (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2) (patch (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2) #<representation binary32>) () ())) ())
#s(alt (* 2 (* u2 (* (PI) (log (E))))) (taylor inf u2) (#s(alt (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2) (patch (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2) #<representation binary32>) () ())) ())
#s(alt (* 2 (* u2 (* (PI) (log (E))))) (taylor inf u2) (#s(alt (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2) (patch (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2) #<representation binary32>) () ())) ())
#s(alt (* 2 (* u2 (* (PI) (log (E))))) (taylor inf u2) (#s(alt (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2) (patch (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2) #<representation binary32>) () ())) ())
#s(alt (* 2 (* u2 (* (PI) (log (E))))) (taylor inf u2) (#s(alt (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2) (patch (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2) #<representation binary32>) () ())) ())
#s(alt (* 2 (* u2 (* (PI) (log (E))))) (taylor -inf u2) (#s(alt (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2) (patch (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2) #<representation binary32>) () ())) ())
#s(alt (* 2 (* u2 (* (PI) (log (E))))) (taylor -inf u2) (#s(alt (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2) (patch (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2) #<representation binary32>) () ())) ())
#s(alt (* 2 (* u2 (* (PI) (log (E))))) (taylor -inf u2) (#s(alt (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2) (patch (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2) #<representation binary32>) () ())) ())
#s(alt (* 2 (* u2 (* (PI) (log (E))))) (taylor -inf u2) (#s(alt (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2) (patch (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2) #<representation binary32>) () ())) ())
#s(alt (* 2 (* u2 (PI))) (taylor 0 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 0 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 0 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 0 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 (* 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 (* 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 (* -1 u1) (taylor 0 u1) (#s(alt #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) (patch #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* u1 (- (* -1/2 u1) 1)) (taylor 0 u1) (#s(alt #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) (patch #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1)) (taylor 0 u1) (#s(alt #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) (patch #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) #<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)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) (patch #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ 1 u1)))) (taylor inf u1) (#s(alt #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) (patch #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1)) (taylor inf u1) (#s(alt #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) (patch #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))) (taylor inf u1) (#s(alt #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) (patch #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) #<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 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) (patch #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (log (/ -1 u1))) (taylor -inf u1) (#s(alt #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) (patch #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (- (* -1 (log (/ -1 u1))) (/ 1 u1)) (taylor -inf u1) (#s(alt #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) (patch #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))) (taylor -inf u1) (#s(alt #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) (patch #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1))) (taylor -inf u1) (#s(alt #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) (patch #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) #<representation binary32>) () ())) ())

Calls

72 calls:

Time	Variable		Point	Expression
32.0ms	u2	@	inf	(* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2)))
26.0ms	u2	@	0	(* (* 2 (* (PI) (log (E)))) u2)
19.0ms	u1	@	inf	(log (/ 1 (- 1 (* u1 u1))))
4.0ms	u1	@	0	(* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* (* 2 (* (PI) (log (E)))) u2)))
1.0ms	u1	@	inf	(* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2)))

simplify290.0ms (2.3%)

Memory

18.8MiB live, 407.2MiB allocated

Algorithm

1×	egg-herbie

Rules

10 110×	`lower-fma.f64`
10 110×	`lower-fma.f32`
7 164×	`lower-*.f64`
7 164×	`lower-*.f32`
3 840×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	662	8589
1	1981	6881
2	6438	6428
0	8138	6054

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 287

Calls

Call 1

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

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

rewrite387.0ms (3.1%)

Memory

48.9MiB live, 348.0MiB allocated

Rules

5 134×	`lower-fma.f64`
5 128×	`lower-fma.f32`
4 154×	`lower-*.f64`
4 134×	`lower-*.f32`
3 604×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	392
0	104	291
1	383	265
2	2632	222
0	10281	201

Stop Event

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

Counts

23 → 343

Calls

Call 1

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

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

eval186.0ms (1.5%)

Memory: -36.5MiB live, 183.8MiB allocated
Compiler: Compiled 24 155 to 2 457 computations (89.8% saved)

prune294.0ms (2.3%)

Memory

7.3MiB live, 329.7MiB allocated

Pruning

46 alts after pruning (40 fresh and 6 done)

	Pruned	Kept	Total
New	951	23	974
Fresh	8	17	25
Picked	2	3	5
Done	0	3	3
Total	961	46	1 007

Accuracy

99.8%

Counts

1 007 → 46

Alt Table

Click to see full alt table

Status	Accuracy	Program
	92.7%	(.f32 (pow.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
	93.3%	(.f32 (pow.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
	90.9%	(.f32 (pow.f32 (exp.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))) #s(literal 1/2 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
	96.5%	(.f32 (sqrt.f32 (+.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log.f32 (.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 (.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (.f32 u1 (.f32 u1 (.f32 u1 u1)))))) #s(literal -1 binary32))) (fma.f32 (.f32 u1 u1) (.f32 u1 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32))) #s(literal 1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	51.1%	(.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) #s(approx (+ 1 ( (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))) #s(literal 1 binary32)))) (log1p.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	53.9%	(.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 (.f32 u1 u1)))))) (log1p.f32 (.f32 u1 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	99.0%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 #s(literal 2 binary32) (log1p.f32 u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	47.4%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 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)))
	53.0%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 u1 u1)))) (-.f32 (log.f32 (-.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)))) (log.f32 (-.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	50.7%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (.f32 u1 (.f32 u1 u1))))) (log.f32 (.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
✓	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	54.6%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	95.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1)))) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1)))) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.4%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (.f32 (fma.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))) #s(literal -1 binary32)) u1) (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.4%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (-.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	95.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
✓	93.4%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
✓	93.4%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
	78.4%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
	93.1%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) #s(approx ( u1 (+ (* u1 (+ (* u1 -1/3) -1/2)) -1)) (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	51.1%	(.f32 (sqrt.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	95.3%	(.f32 (sqrt.f32 #s(approx (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1))))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.4%	(.f32 (sqrt.f32 #s(approx (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1))))) (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.3%	(.f32 (sqrt.f32 #s(approx (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1))))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	90.9%	(.f32 (exp.f32 (.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
	94.7%	(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (fma.f32 (.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1/4 binary32) (.f32 #s(literal 1/6 binary32) u1)) (.f32 (.f32 (sqrt.f32 u1) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1))) (.f32 u1 #s(literal 1/2 binary32)))) (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.7%	(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (fma.f32 (.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	82.0%	(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32))))
	75.2%	(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	88.8%	(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (fma.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)) (.f32 (sqrt.f32 u1) (.f32 u1 #s(literal 1/4 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	76.5%	(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (fma.f32 #s(approx (sqrt (* u1 (* u1 u1))) (neg.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))))) #s(literal 1/4 binary32) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.1%	(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (neg.f32 u1)) (fma.f32 (sqrt.f32 u1) (.f32 u1 #s(literal 1/4 binary32)) (neg.f32 (sqrt.f32 u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.0%	(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (.f32 (fma.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))) #s(literal 1/64 binary32) (.f32 u1 (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	78.1%	(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	78.4%	(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	72.5%	(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32))))
▶	67.6%	(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	76.9%	(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (exp.f32 (.f32 #s(literal 1/2 binary32) (log.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.3%	(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) #s(approx (+ (* (sqrt (* u1 (* u1 u1))) 1/4) (sqrt u1)) (.f32 (.f32 u1 u1) (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.7%	#s(approx (* (sqrt (+ (log (/ (+ (* u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (cos (* (* 2 (PI)) u2))) (fma.f32 (.f32 u1 u1) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))))
	92.9%	#s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (fma.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 #s(literal 2/3 binary32) (.f32 u2 u2))))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1)))))))
	90.8%	#s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))))
▶	81.8%	#s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))

Compiler

Compiled 2 339 to 1 560 computations (33.3% saved)

simplify480.0ms (3.8%)

Memory

-17.4MiB live, 178.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 (.f32 u1 u1)))))) (log1p.f32 (.f32 u1 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff	64	(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 (.f32 u1 u1)))))) (log1p.f32 (.f32 u1 u1)))
cost-diff	224	(/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 (*.f32 u1 u1)))))
cost-diff	288	(log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 (*.f32 u1 u1))))))
cost-diff	0	(log1p.f32 u1)
cost-diff	0	(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
cost-diff	0	(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
cost-diff	0	#s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
cost-diff	0	#s(approx (sqrt (* u1 (* u1 u1))) (neg.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1)))))
cost-diff	0	(fma.f32 #s(approx (sqrt (* u1 (* u1 u1))) (neg.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))))) #s(literal 1/4 binary32) (sqrt.f32 u1))
cost-diff	0	#s(approx (sqrt (+ (log (/ (+ (* u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (fma.f32 #s(approx (sqrt (* u1 (* u1 u1))) (neg.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))))) #s(literal 1/4 binary32) (sqrt.f32 u1)))
cost-diff	0	(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (fma.f32 #s(approx (sqrt (* u1 (* u1 u1))) (neg.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))))) #s(literal 1/4 binary32) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff	0	#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
cost-diff	0	(sqrt.f32 u1)
cost-diff	0	#s(approx (sqrt (+ (log (/ (+ (* u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (sqrt.f32 u1))
cost-diff	0	(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
cost-diff	0	(neg.f32 (-.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 #s(literal 2 binary32) (log1p.f32 u1))))
cost-diff	0	(sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 #s(literal 2 binary32) (log1p.f32 u1)))))
cost-diff	0	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 #s(literal 2 binary32) (log1p.f32 u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff	64	(-.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 #s(literal 2 binary32) (log1p.f32 u1)))

Rules

8 130×	`lower-fma.f64`
8 126×	`lower-fma.f32`
2 774×	`lower-*.f64`
2 750×	`lower-*.f32`
1 634×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	652
0	119	547
1	205	521
2	349	518
3	600	510
4	950	510
5	1533	510
6	2655	510
7	4681	510
8	7059	510
9	7950	510
0	8059	498

Stop Event

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

Calls

Call 1

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

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

localize291.0ms (2.3%)

Memory

23.0MiB live, 299.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.25390625	(.f32 u1 (.f32 u1 (*.f32 u1 u1)))
accuracy	0.30078125	(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 (.f32 u1 u1)))))) (log1p.f32 (.f32 u1 u1)))
accuracy	0.30078125	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	16.164087998498207	(log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 (*.f32 u1 u1))))))
accuracy	0.11328125	(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
accuracy	0.12109375	(log1p.f32 (*.f32 u1 (neg.f32 u1)))
accuracy	0.2890625	(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
accuracy	5.740543328596366	#s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
accuracy	0.21484375	(.f32 u1 (.f32 u1 u1))
accuracy	0.30078125	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	3.142223001715189	#s(approx (sqrt (+ (log (/ (+ (* u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (fma.f32 #s(approx (sqrt (* u1 (* u1 u1))) (neg.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))))) #s(literal 1/4 binary32) (sqrt.f32 u1)))
accuracy	30.65724842608432	#s(approx (sqrt (* u1 (* u1 u1))) (neg.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1)))))
accuracy	0	(sqrt.f32 u1)
accuracy	0.1328125	(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
accuracy	5.90759550347055	#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
accuracy	6.837566689597664	#s(approx (sqrt (+ (log (/ (+ (* u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (sqrt.f32 u1))
accuracy	0.17578125	(log1p.f32 (-.f32 u1 (*.f32 u1 (fma.f32 u1 u1 u1))))
accuracy	0.21484375	(*.f32 u1 (fma.f32 u1 u1 u1))
accuracy	0.30078125	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	0.46712875976844204	(-.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 #s(literal 2 binary32) (log1p.f32 u1)))

Samples

174.0ms

256×

valid

Compiler

Compiled 633 to 61 computations (90.4% saved)

Precisions

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

ival-mult: 41.0ms (37.7% of total)

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

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

ival-add: 10.0ms (9.2% of total)

ival-log1p: 10.0ms (9.2% of total)

ival-sub: 6.0ms (5.5% of total)

ival-div: 5.0ms (4.6% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

series211.0ms (1.7%)

Memory

-17.4MiB live, 177.2MiB allocated

Counts

26 → 372

Calls

Call 1

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

Outputs
#s(alt (* -1 u1) (taylor 0 u1) (#s(alt (-.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 #s(literal 2 binary32) (log1p.f32 u1))) (patch (-.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 #s(literal 2 binary32) (log1p.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (* u1 (- (* -1/2 u1) 1)) (taylor 0 u1) (#s(alt (-.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 #s(literal 2 binary32) (log1p.f32 u1))) (patch (-.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 #s(literal 2 binary32) (log1p.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1)) (taylor 0 u1) (#s(alt (-.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 #s(literal 2 binary32) (log1p.f32 u1))) (patch (-.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 #s(literal 2 binary32) (log1p.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1)) (taylor 0 u1) (#s(alt (-.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 #s(literal 2 binary32) (log1p.f32 u1))) (patch (-.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 #s(literal 2 binary32) (log1p.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (- (+ (log -1) (* -3 (log (/ 1 u1)))) (* -2 (log (/ 1 u1)))) (taylor inf u1) (#s(alt (-.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 #s(literal 2 binary32) (log1p.f32 u1))) (patch (-.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 #s(literal 2 binary32) (log1p.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (- (+ (log -1) (* -3 (log (/ 1 u1)))) (+ (* -2 (log (/ 1 u1))) (/ 1 u1))) (taylor inf u1) (#s(alt (-.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 #s(literal 2 binary32) (log1p.f32 u1))) (patch (-.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 #s(literal 2 binary32) (log1p.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (- (+ (log -1) (+ (* -3 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))) (* -2 (log (/ 1 u1)))) (taylor inf u1) (#s(alt (-.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 #s(literal 2 binary32) (log1p.f32 u1))) (patch (-.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 #s(literal 2 binary32) (log1p.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (- (+ (log -1) (+ (* -3 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (+ (* -2 (log (/ 1 u1))) (/ 1 u1))) (taylor inf u1) (#s(alt (-.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 #s(literal 2 binary32) (log1p.f32 u1))) (patch (-.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 #s(literal 2 binary32) (log1p.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (- (* -3 (log (/ -1 u1))) (* 2 (+ (log -1) (* -1 (log (/ -1 u1)))))) (taylor -inf u1) (#s(alt (-.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 #s(literal 2 binary32) (log1p.f32 u1))) (patch (-.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 #s(literal 2 binary32) (log1p.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (- (* -3 (log (/ -1 u1))) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 u1))))) (/ 1 u1))) (taylor -inf u1) (#s(alt (-.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 #s(literal 2 binary32) (log1p.f32 u1))) (patch (-.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 #s(literal 2 binary32) (log1p.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (- (+ (* -3 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))) (* 2 (+ (log -1) (* -1 (log (/ -1 u1)))))) (taylor -inf u1) (#s(alt (-.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 #s(literal 2 binary32) (log1p.f32 u1))) (patch (-.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 #s(literal 2 binary32) (log1p.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (- (+ (* -3 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1))) (* 2 (+ (log -1) (* -1 (log (/ -1 u1)))))) (taylor -inf u1) (#s(alt (-.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 #s(literal 2 binary32) (log1p.f32 u1))) (patch (-.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 #s(literal 2 binary32) (log1p.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 #s(literal 2 binary32) (log1p.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 #s(literal 2 binary32) (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 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 #s(literal 2 binary32) (log1p.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 #s(literal 2 binary32) (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) (+ (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI))))))))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 #s(literal 2 binary32) (log1p.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 #s(literal 2 binary32) (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 (+ (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1))))))))))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 #s(literal 2 binary32) (log1p.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 #s(literal 2 binary32) (log1p.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))) (taylor inf u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 #s(literal 2 binary32) (log1p.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 #s(literal 2 binary32) (log1p.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1)))))))) (taylor inf u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 #s(literal 2 binary32) (log1p.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 #s(literal 2 binary32) (log1p.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (taylor inf u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 #s(literal 2 binary32) (log1p.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 #s(literal 2 binary32) (log1p.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1)))))))) (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1)))))))))) (taylor inf u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 #s(literal 2 binary32) (log1p.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 #s(literal 2 binary32) (log1p.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* 2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -3 (log (/ -1 u1)))))) (taylor -inf u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 #s(literal 2 binary32) (log1p.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 #s(literal 2 binary32) (log1p.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* 2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -3 (log (/ -1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* 2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -3 (log (/ -1 u1))))))) (taylor -inf u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 #s(literal 2 binary32) (log1p.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 #s(literal 2 binary32) (log1p.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* 2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -3 (log (/ -1 u1)))))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* 2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -3 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* 2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -3 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* 2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -3 (log (/ -1 u1))))))) (taylor -inf u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 #s(literal 2 binary32) (log1p.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 #s(literal 2 binary32) (log1p.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* 2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -3 (log (/ -1 u1)))))))) (sqrt (/ 1 (- (* 2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -3 (log (/ -1 u1)))))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* 2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -3 (log (/ -1 u1))))))) (- (* 2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -3 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* 2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -3 (log (/ -1 u1))))))))) u1)) (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* 2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -3 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* 2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -3 (log (/ -1 u1))))))) (taylor -inf u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 #s(literal 2 binary32) (log1p.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 #s(literal 2 binary32) (log1p.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (sqrt (- (* 2 (log (+ 1 u1))) (log (- (+ 1 u1) (* u1 (+ u1 (pow u1 2))))))) (taylor 0 u2) (#s(alt (.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 #s(literal 2 binary32) (log1p.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 #s(literal 2 binary32) (log1p.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
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#s(alt (pow u1 4) (taylor 0 u1) (#s(alt (.f32 u1 (.f32 u1 (.f32 u1 u1))) (patch (.f32 u1 (.f32 u1 (.f32 u1 u1))) #<representation binary32>) () ())) ())
#s(alt (pow u1 4) (taylor 0 u1) (#s(alt (.f32 u1 (.f32 u1 (.f32 u1 u1))) (patch (.f32 u1 (.f32 u1 (.f32 u1 u1))) #<representation binary32>) () ())) ())
#s(alt (pow u1 4) (taylor 0 u1) (#s(alt (.f32 u1 (.f32 u1 (.f32 u1 u1))) (patch (.f32 u1 (.f32 u1 (.f32 u1 u1))) #<representation binary32>) () ())) ())
#s(alt (pow u1 4) (taylor 0 u1) (#s(alt (.f32 u1 (.f32 u1 (.f32 u1 u1))) (patch (.f32 u1 (.f32 u1 (.f32 u1 u1))) #<representation binary32>) () ())) ())
#s(alt (pow u1 4) (taylor inf u1) (#s(alt (.f32 u1 (.f32 u1 (.f32 u1 u1))) (patch (.f32 u1 (.f32 u1 (.f32 u1 u1))) #<representation binary32>) () ())) ())
#s(alt (pow u1 4) (taylor inf u1) (#s(alt (.f32 u1 (.f32 u1 (.f32 u1 u1))) (patch (.f32 u1 (.f32 u1 (.f32 u1 u1))) #<representation binary32>) () ())) ())
#s(alt (pow u1 4) (taylor inf u1) (#s(alt (.f32 u1 (.f32 u1 (.f32 u1 u1))) (patch (.f32 u1 (.f32 u1 (.f32 u1 u1))) #<representation binary32>) () ())) ())
#s(alt (pow u1 4) (taylor inf u1) (#s(alt (.f32 u1 (.f32 u1 (.f32 u1 u1))) (patch (.f32 u1 (.f32 u1 (.f32 u1 u1))) #<representation binary32>) () ())) ())
#s(alt (pow u1 4) (taylor -inf u1) (#s(alt (.f32 u1 (.f32 u1 (.f32 u1 u1))) (patch (.f32 u1 (.f32 u1 (.f32 u1 u1))) #<representation binary32>) () ())) ())
#s(alt (pow u1 4) (taylor -inf u1) (#s(alt (.f32 u1 (.f32 u1 (.f32 u1 u1))) (patch (.f32 u1 (.f32 u1 (.f32 u1 u1))) #<representation binary32>) () ())) ())
#s(alt (pow u1 4) (taylor -inf u1) (#s(alt (.f32 u1 (.f32 u1 (.f32 u1 u1))) (patch (.f32 u1 (.f32 u1 (.f32 u1 u1))) #<representation binary32>) () ())) ())
#s(alt (pow u1 4) (taylor -inf u1) (#s(alt (.f32 u1 (.f32 u1 (.f32 u1 u1))) (patch (.f32 u1 (.f32 u1 (.f32 u1 u1))) #<representation binary32>) () ())) ())

Calls

93 calls:

Time	Variable		Point	Expression
80.0ms	u2	@	inf	(* (sqrt (+ (log (/ (+ 1 u1) (- 1 (* u1 (* u1 (* u1 u1)))))) (log (+ 1 (* u1 u1))))) (cos (* (* 2 (PI)) u2)))
48.0ms	u1	@	-inf	(* (sqrt (+ (log (/ (+ 1 u1) (- 1 (* u1 (* u1 (* u1 u1)))))) (log (+ 1 (* u1 u1))))) (cos (* (* 2 (PI)) u2)))
17.0ms	u2	@	inf	(* (sqrt (neg (- (log (+ 1 (- u1 (* u1 (+ (* u1 u1) u1))))) (* 2 (log (+ 1 u1)))))) (cos (* (* 2 (PI)) u2)))
15.0ms	u2	@	0	(* (sqrt (neg (- (log (+ 1 (- u1 (* u1 (+ (* u1 u1) u1))))) (* 2 (log (+ 1 u1)))))) (cos (* (* 2 (PI)) u2)))
2.0ms	u1	@	-inf	(- (log (+ 1 (- u1 (* u1 (+ (* u1 u1) u1))))) (* 2 (log (+ 1 u1))))

simplify297.0ms (2.4%)

Memory

19.7MiB live, 456.0MiB allocated

Algorithm

1×	egg-herbie

Rules

9 448×	`lower-fma.f64`
9 448×	`lower-fma.f32`
6 050×	`lower-*.f64`
6 050×	`lower-*.f32`
4 500×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	879	10111
1	2690	8148
2	7798	8078
0	8120	7545

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 366

Calls

Call 1

Inputs
(* -1 u1)
(* u1 (- (* -1/2 u1) 1))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(- (+ (log -1) (* -3 (log (/ 1 u1)))) (* -2 (log (/ 1 u1))))
(- (+ (log -1) (* -3 (log (/ 1 u1)))) (+ (* -2 (log (/ 1 u1))) (/ 1 u1)))
(- (+ (log -1) (+ (* -3 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))) (* -2 (log (/ 1 u1))))
(- (+ (log -1) (+ (* -3 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (+ (* -2 (log (/ 1 u1))) (/ 1 u1)))
(- (* -3 (log (/ -1 u1))) (* 2 (+ (log -1) (* -1 (log (/ -1 u1))))))
(- (* -3 (log (/ -1 u1))) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 u1))))) (/ 1 u1)))
(- (+ (* -3 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))) (* 2 (+ (log -1) (* -1 (log (/ -1 u1))))))
(- (+ (* -3 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1))) (* 2 (+ (log -1) (* -1 (log (/ -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)))))))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1)))))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1)))))))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1)))))))) (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (* 2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -3 (log (/ -1 u1))))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* 2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -3 (log (/ -1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* 2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -3 (log (/ -1 u1)))))))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* 2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -3 (log (/ -1 u1)))))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* 2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -3 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* 2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -3 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* 2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -3 (log (/ -1 u1)))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* 2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -3 (log (/ -1 u1)))))))) (sqrt (/ 1 (- (* 2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -3 (log (/ -1 u1)))))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* 2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -3 (log (/ -1 u1))))))) (- (* 2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -3 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* 2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -3 (log (/ -1 u1))))))))) u1)) (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* 2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -3 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* 2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -3 (log (/ -1 u1)))))))
(sqrt (- (* 2 (log (+ 1 u1))) (log (- (+ 1 u1) (* u1 (+ u1 (pow u1 2)))))))
(+ (sqrt (- (* 2 (log (+ 1 u1))) (log (- (+ 1 u1) (* u1 (+ u1 (pow u1 2))))))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (- (* 2 (log (+ 1 u1))) (log (- (+ 1 u1) (* u1 (+ u1 (pow u1 2))))))))))
(+ (sqrt (- (* 2 (log (+ 1 u1))) (log (- (+ 1 u1) (* u1 (+ u1 (pow u1 2))))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (* 2 (log (+ 1 u1))) (log (- (+ 1 u1) (* u1 (+ u1 (pow u1 2))))))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (- (* 2 (log (+ 1 u1))) (log (- (+ 1 u1) (* u1 (+ u1 (pow u1 2))))))))))))
(+ (sqrt (- (* 2 (log (+ 1 u1))) (log (- (+ 1 u1) (* u1 (+ u1 (pow u1 2))))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (* 2 (log (+ 1 u1))) (log (- (+ 1 u1) (* u1 (+ u1 (pow u1 2))))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (- (* 2 (log (+ 1 u1))) (log (- (+ 1 u1) (* u1 (+ u1 (pow u1 2))))))))) (* 2/3 (* (pow (PI) 4) (sqrt (- (* 2 (log (+ 1 u1))) (log (- (+ 1 u1) (* u1 (+ u1 (pow u1 2))))))))))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (* 2 (log (+ 1 u1))) (log (- (+ 1 u1) (* u1 (+ u1 (pow u1 2))))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (* 2 (log (+ 1 u1))) (log (- (+ 1 u1) (* u1 (+ u1 (pow u1 2))))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (* 2 (log (+ 1 u1))) (log (- (+ 1 u1) (* u1 (+ u1 (pow u1 2))))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (* 2 (log (+ 1 u1))) (log (- (+ 1 u1) (* u1 (+ u1 (pow u1 2))))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (* 2 (log (+ 1 u1))) (log (- (+ 1 u1) (* u1 (+ u1 (pow u1 2))))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (* 2 (log (+ 1 u1))) (log (- (+ 1 u1) (* u1 (+ u1 (pow u1 2))))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (* 2 (log (+ 1 u1))) (log (- (+ 1 u1) (* u1 (+ u1 (pow u1 2))))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (* 2 (log (+ 1 u1))) (log (- (+ 1 u1) (* u1 (+ u1 (pow u1 2))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/4 (* 1/16 (/ 1 u1))))))))))
(sqrt (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))
(+ (sqrt (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1)))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))))
(+ (sqrt (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1)))))))))))
(+ (sqrt (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1)))))))) (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))))))
(sqrt (- (* 2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -3 (log (/ -1 u1)))))
(+ (sqrt (- (* 2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -3 (log (/ -1 u1))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* 2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -3 (log (/ -1 u1)))))))))
(+ (sqrt (- (* 2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -3 (log (/ -1 u1))))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (- (* 2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -3 (log (/ -1 u1))))))) (* -1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (* 2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -3 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (- (* 2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -3 (log (/ -1 u1))))))))) u1)))
(+ (sqrt (- (* 2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -3 (log (/ -1 u1))))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (- 1/2 (* 1/4 (/ 1 (- (* 2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -3 (log (/ -1 u1))))))) (sqrt (/ 1 (- (* 2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -3 (log (/ -1 u1)))))))) (* 1/2 (* (/ (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* 2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -3 (log (/ -1 u1))))))) (- (* 2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -3 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (- (* 2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -3 (log (/ -1 u1))))))))) u1)) (* -1/2 (sqrt (/ 1 (- (* 2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -3 (log (/ -1 u1)))))))) 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)))))))
(- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1)))))
(- (+ (* -2 (log (/ 1 u1))) (/ 1 u1)) (+ (log -1) (* -3 (log (/ 1 u1)))))
(- (+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1)))))
(- (+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3)))))) (+ (log -1) (* -3 (log (/ 1 u1)))))
(- (* 2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -3 (log (/ -1 u1))))
(- (+ (* 2 (+ (log -1) (* -1 (log (/ -1 u1))))) (/ 1 u1)) (* -3 (log (/ -1 u1))))
(- (+ (* 2 (+ (log -1) (* -1 (log (/ -1 u1))))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (* -3 (log (/ -1 u1))))
(- (+ (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* 2 (+ (log -1) (* -1 (log (/ -1 u1)))))) (* -3 (log (/ -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)))))))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (+ (* -6 (log (/ 1 u1))) (* 7 (log (/ 1 u1))))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (+ (* -6 (log (/ 1 u1))) (* 7 (log (/ 1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (* -6 (log (/ 1 u1))) (* 7 (log (/ 1 u1)))))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (+ (* -6 (log (/ 1 u1))) (* 7 (log (/ 1 u1)))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (+ (* -6 (log (/ 1 u1))) (* 7 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (* -6 (log (/ 1 u1))) (* 7 (log (/ 1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (* -6 (log (/ 1 u1))) (* 7 (log (/ 1 u1))))))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (+ (* -6 (log (/ 1 u1))) (* 7 (log (/ 1 u1)))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (+ (* -6 (log (/ 1 u1))) (* 7 (log (/ 1 u1))))))) (+ (* -6 (log (/ 1 u1))) (* 7 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (* -6 (log (/ 1 u1))) (* 7 (log (/ 1 u1)))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (+ (* -6 (log (/ 1 u1))) (* 7 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (* -6 (log (/ 1 u1))) (* 7 (log (/ 1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (* -6 (log (/ 1 u1))) (* 7 (log (/ 1 u1)))))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (+ (* -6 (log (/ -1 u1))) (* 7 (log (/ -1 u1)))))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (+ (log -1) (+ (* -6 (log (/ -1 u1))) (* 7 (log (/ -1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (+ (* -6 (log (/ -1 u1))) (* 7 (log (/ -1 u1))))))))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (+ (log -1) (+ (* -6 (log (/ -1 u1))) (* 7 (log (/ -1 u1))))))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (+ (log -1) (+ (* -6 (log (/ -1 u1))) (* 7 (log (/ -1 u1))))))))) u1) (sqrt (/ 1 (+ (log -1) (+ (* -6 (log (/ -1 u1))) (* 7 (log (/ -1 u1)))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (+ (* -6 (log (/ -1 u1))) (* 7 (log (/ -1 u1))))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (+ (log -1) (+ (* -6 (log (/ -1 u1))) (* 7 (log (/ -1 u1))))))))) (sqrt (/ 1 (+ (log -1) (+ (* -6 (log (/ -1 u1))) (* 7 (log (/ -1 u1))))))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (+ (log -1) (+ (* -6 (log (/ -1 u1))) (* 7 (log (/ -1 u1)))))))) (+ (log -1) (+ (* -6 (log (/ -1 u1))) (* 7 (log (/ -1 u1))))))))) u1) (sqrt (/ 1 (+ (log -1) (+ (* -6 (log (/ -1 u1))) (* 7 (log (/ -1 u1)))))))))) u1)) (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (+ (log -1) (+ (* -6 (log (/ -1 u1))) (* 7 (log (/ -1 u1)))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (+ (* -6 (log (/ -1 u1))) (* 7 (log (/ -1 u1))))))))
(sqrt (+ (log (+ 1 (* (pow u1 3) (+ 1 (pow u1 3))))) (log (/ (+ 1 (+ u1 (pow u1 2))) (+ 1 (pow u1 9))))))
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(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log1p.f32 (.f32 u1 u1)) (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 (*.f32 u1 u1)))))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log (+ 1 (pow u1 2))) (log (/ (+ 1 u1) (- 1 (pow u1 4)))))))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log1p.f32 (.f32 u1 u1)) (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 (*.f32 u1 u1)))))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log (+ 1 (pow u1 2))) (log (/ (+ 1 u1) (- 1 (pow u1 4)))))))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log1p.f32 (.f32 u1 u1)) (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 (*.f32 u1 u1)))))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log (+ 1 (pow u1 2))) (log (/ (+ 1 u1) (- 1 (pow u1 4)))))))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log1p.f32 (.f32 u1 u1)) (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 (*.f32 u1 u1)))))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log (+ 1 (pow u1 2))) (log (/ (+ 1 u1) (- 1 (pow u1 4)))))))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log1p.f32 (.f32 u1 u1)) (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 (*.f32 u1 u1)))))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log (+ 1 (pow u1 2))) (log (/ (+ 1 u1) (- 1 (pow u1 4)))))))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log1p.f32 (.f32 u1 u1)) (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 (*.f32 u1 u1)))))))))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (+ 1 u1))
(*.f32 u1 (fma.f32 u1 u1 u1))
(* (pow u1 2) (+ 1 u1))
(*.f32 u1 (fma.f32 u1 u1 u1))
(* (pow u1 2) (+ 1 u1))
(*.f32 u1 (fma.f32 u1 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(* (pow u1 3) (+ 1 (/ 1 u1)))
(.f32 (.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))
(* (pow u1 3) (+ 1 (/ 1 u1)))
(.f32 (.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))
(* (pow u1 3) (+ 1 (/ 1 u1)))
(.f32 (.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(* (pow u1 3) (+ 1 (/ 1 u1)))
(.f32 (.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))
(* (pow u1 3) (+ 1 (/ 1 u1)))
(.f32 (.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))
(* (pow u1 3) (+ 1 (/ 1 u1)))
(.f32 (.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))
u1
(* u1 (+ 1 (* -3/2 u1)))
(fma.f32 u1 (*.f32 u1 #s(literal -3/2 binary32)) u1)
(* u1 (+ 1 (* u1 (- (* 1/3 u1) 3/2))))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal -3/2 binary32)) u1)
(* u1 (+ 1 (* u1 (- (* u1 (+ 1/3 (* -3/4 u1))) 3/2))))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -3/4 binary32) #s(literal 1/3 binary32)) #s(literal -3/2 binary32)) u1)
(+ (log -1) (* -3 (log (/ 1 u1))))
(fma.f32 #s(literal -3 binary32) (neg.f32 (log.f32 u1)) (log.f32 #s(literal -1 binary32)))
(+ (log -1) (+ (* -3 (log (/ 1 u1))) (/ 1 u1)))
(+.f32 (log.f32 #s(literal -1 binary32)) (fma.f32 #s(literal -3 binary32) (neg.f32 (log.f32 u1)) (/.f32 #s(literal 1 binary32) u1)))
(- (+ (log -1) (+ (* -3 (log (/ 1 u1))) (/ 1 u1))) (/ 3/2 (pow u1 2)))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) (fma.f32 #s(literal -3 binary32) (neg.f32 (log.f32 u1)) (/.f32 #s(literal -3/2 binary32) (*.f32 u1 u1)))))
(- (+ (log -1) (+ (* -3 (log (/ 1 u1))) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3)))))) (/ 3/2 (pow u1 2)))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (fma.f32 #s(literal -3 binary32) (neg.f32 (log.f32 u1)) (/.f32 #s(literal 1 binary32) u1)) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) #s(literal -3/2 binary32)) u1) u1)))
(* -3 (log (/ -1 u1)))
(*.f32 #s(literal -3 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(+ (* -3 (log (/ -1 u1))) (/ 1 u1))
(fma.f32 #s(literal -3 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)) (/.f32 #s(literal 1 binary32) u1))
(+ (* -3 (log (/ -1 u1))) (* -1 (/ (- (* 3/2 (/ 1 u1)) 1) u1)))
(fma.f32 #s(literal -3 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 3/2 binary32) u1)) (neg.f32 u1)))
(+ (* -3 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 u1)) 3/2) u1)) 1) u1)))
(fma.f32 #s(literal -3 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) #s(literal -3/2 binary32)) (neg.f32 u1))) (neg.f32 u1)))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(* -1 (pow u1 2))
(*.f32 u1 (neg.f32 u1))
(* (pow u1 2) (- (* -1/2 (pow u1 2)) 1))
(.f32 (.f32 u1 u1) (fma.f32 u1 (*.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32)))
(* (pow u1 2) (- (* (pow u1 2) (- (* -1/3 (pow u1 2)) 1/2)) 1))
(.f32 (.f32 (fma.f32 (.f32 u1 u1) (fma.f32 #s(literal -1/3 binary32) (.f32 u1 u1) #s(literal -1/2 binary32)) #s(literal -1 binary32)) u1) u1)
(* (pow u1 2) (- (* (pow u1 2) (- (* (pow u1 2) (- (* -1/4 (pow u1 2)) 1/3)) 1/2)) 1))
(.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (*.f32 u1 #s(literal -1/4 binary32)) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
(+ (log -1) (* -2 (log (/ 1 u1))))
(fma.f32 (neg.f32 (log.f32 u1)) #s(literal -2 binary32) (log.f32 #s(literal -1 binary32)))
(- (+ (log -1) (* -2 (log (/ 1 u1)))) (/ 1 (pow u1 2)))
(+.f32 (log.f32 #s(literal -1 binary32)) (fma.f32 (neg.f32 (log.f32 u1)) #s(literal -2 binary32) (/.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(+ (log -1) (+ (* -2 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow u1 2)))) (pow u1 2)))))
(+.f32 (fma.f32 (neg.f32 (log.f32 u1)) #s(literal -2 binary32) (log.f32 #s(literal -1 binary32))) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 u1 u1))) (.f32 u1 u1)))
(- (+ (log -1) (+ (* -2 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow u1 2)))) (pow u1 4))))) (/ 1 (pow u1 2)))
(+.f32 (-.f32 (fma.f32 (neg.f32 (log.f32 u1)) #s(literal -2 binary32) (log.f32 #s(literal -1 binary32))) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 u1 u1))) (.f32 u1 (.f32 u1 (.f32 u1 u1))))) (/.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
(+ (log -1) (* -2 (log (/ -1 u1))))
(fma.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)) (log.f32 #s(literal -1 binary32)))
(- (+ (log -1) (* -2 (log (/ -1 u1)))) (/ 1 (pow u1 2)))
(+.f32 (log.f32 #s(literal -1 binary32)) (fma.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)) (/.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(+ (log -1) (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow u1 2)))) (pow u1 2)))))
(+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 u1 u1))) (.f32 u1 u1)) (fma.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)) (log.f32 #s(literal -1 binary32))))
(- (+ (log -1) (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow u1 2)))) (pow u1 4))))) (/ 1 (pow u1 2)))
(+.f32 (-.f32 (fma.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)) (log.f32 #s(literal -1 binary32))) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 u1 u1))) (.f32 u1 (.f32 u1 (.f32 u1 u1))))) (/.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
(pow u1 4)
(.f32 u1 (.f32 u1 (*.f32 u1 u1)))
(pow u1 4)
(.f32 u1 (.f32 u1 (*.f32 u1 u1)))
(pow u1 4)
(.f32 u1 (.f32 u1 (*.f32 u1 u1)))
(pow u1 4)
(.f32 u1 (.f32 u1 (*.f32 u1 u1)))
(pow u1 4)
(.f32 u1 (.f32 u1 (*.f32 u1 u1)))
(pow u1 4)
(.f32 u1 (.f32 u1 (*.f32 u1 u1)))
(pow u1 4)
(.f32 u1 (.f32 u1 (*.f32 u1 u1)))
(pow u1 4)
(.f32 u1 (.f32 u1 (*.f32 u1 u1)))
(pow u1 4)
(.f32 u1 (.f32 u1 (*.f32 u1 u1)))
(pow u1 4)
(.f32 u1 (.f32 u1 (*.f32 u1 u1)))
(pow u1 4)
(.f32 u1 (.f32 u1 (*.f32 u1 u1)))
(pow u1 4)
(.f32 u1 (.f32 u1 (*.f32 u1 u1)))

rewrite368.0ms (2.9%)

Memory

-18.2MiB live, 398.2MiB allocated

Rules

4 412×	`lower-fma.f64`
4 408×	`lower-fma.f32`
4 270×	`lower-*.f64`
4 246×	`lower-*.f32`
2 314×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	512
0	119	394
1	454	348
2	3338	305
0	8691	282

Stop Event

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

Counts

26 → 481

Calls

Call 1

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

Outputs
(+.f32 (log1p.f32 (fma.f32 (fma.f32 u1 u1 u1) (neg.f32 u1) u1)) (*.f32 (log1p.f32 u1) #s(literal -2 binary32)))
(+.f32 (*.f32 (log1p.f32 u1) #s(literal -2 binary32)) (log1p.f32 (fma.f32 (fma.f32 u1 u1 u1) (neg.f32 u1) u1)))
(pow.f32 (/.f32 (fma.f32 (.f32 #s(literal 2 binary32) (log1p.f32 u1)) (fma.f32 #s(literal 2 binary32) (log1p.f32 u1) (log1p.f32 (fma.f32 (fma.f32 u1 u1 u1) (neg.f32 u1) u1))) (pow.f32 (log1p.f32 (fma.f32 (fma.f32 u1 u1 u1) (neg.f32 u1) u1)) #s(literal 2 binary32))) (+.f32 (pow.f32 (log1p.f32 (fma.f32 (fma.f32 u1 u1 u1) (neg.f32 u1) u1)) #s(literal 3 binary32)) (pow.f32 (.f32 (log1p.f32 u1) #s(literal -2 binary32)) #s(literal 3 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (log1p.f32 u1) (log1p.f32 (fma.f32 (fma.f32 u1 u1 u1) (neg.f32 u1) u1))) (-.f32 (pow.f32 (log1p.f32 (fma.f32 (fma.f32 u1 u1 u1) (neg.f32 u1) u1)) #s(literal 2 binary32)) (pow.f32 (*.f32 #s(literal 2 binary32) (log1p.f32 u1)) #s(literal 2 binary32)))) #s(literal -1 binary32))
(fma.f32 #s(literal 2 binary32) (neg.f32 (log1p.f32 u1)) (log1p.f32 (fma.f32 (fma.f32 u1 u1 u1) (neg.f32 u1) u1)))
(fma.f32 (log1p.f32 u1) #s(literal -2 binary32) (log1p.f32 (fma.f32 (fma.f32 u1 u1 u1) (neg.f32 u1) u1)))
(fma.f32 #s(literal -1 binary32) (*.f32 #s(literal 2 binary32) (log1p.f32 u1)) (log1p.f32 (fma.f32 (fma.f32 u1 u1 u1) (neg.f32 u1) u1)))
(fma.f32 #s(literal -2 binary32) (log1p.f32 u1) (log1p.f32 (fma.f32 (fma.f32 u1 u1 u1) (neg.f32 u1) u1)))
(fma.f32 (neg.f32 (log1p.f32 u1)) #s(literal 2 binary32) (log1p.f32 (fma.f32 (fma.f32 u1 u1 u1) (neg.f32 u1) u1)))
(-.f32 (log1p.f32 (fma.f32 (fma.f32 u1 u1 u1) (neg.f32 u1) u1)) (*.f32 #s(literal 2 binary32) (log1p.f32 u1)))
(-.f32 (/.f32 (pow.f32 (log1p.f32 (fma.f32 (fma.f32 u1 u1 u1) (neg.f32 u1) u1)) #s(literal 3 binary32)) (fma.f32 (.f32 #s(literal 2 binary32) (log1p.f32 u1)) (fma.f32 #s(literal 2 binary32) (log1p.f32 u1) (log1p.f32 (fma.f32 (fma.f32 u1 u1 u1) (neg.f32 u1) u1))) (pow.f32 (log1p.f32 (fma.f32 (fma.f32 u1 u1 u1) (neg.f32 u1) u1)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (.f32 #s(literal 2 binary32) (log1p.f32 u1)) #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal 2 binary32) (log1p.f32 u1)) (fma.f32 #s(literal 2 binary32) (log1p.f32 u1) (log1p.f32 (fma.f32 (fma.f32 u1 u1 u1) (neg.f32 u1) u1))) (pow.f32 (log1p.f32 (fma.f32 (fma.f32 u1 u1 u1) (neg.f32 u1) u1)) #s(literal 2 binary32)))))
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(-.f32 (log.f32 (-.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))) (.f32 (.f32 u1 (fma.f32 u1 u1 u1)) (.f32 (.f32 u1 (fma.f32 u1 u1 u1)) (.f32 u1 (fma.f32 u1 u1 u1)))))) (log.f32 (fma.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 (.f32 (fma.f32 u1 u1 u1) (.f32 u1 (fma.f32 u1 u1 u1))) (.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 (fma.f32 u1 u1 u1)))))))
(-.f32 (log.f32 (-.f32 (*.f32 (fma.f32 (fma.f32 u1 u1 u1) (neg.f32 u1) u1) (fma.f32 (fma.f32 u1 u1 u1) (neg.f32 u1) u1)) #s(literal 1 binary32))) (log.f32 (-.f32 (fma.f32 (fma.f32 u1 u1 u1) (neg.f32 u1) u1) #s(literal 1 binary32))))
(-.f32 (log.f32 (-.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (.f32 u1 (fma.f32 u1 u1 u1)) (.f32 u1 (fma.f32 u1 u1 u1))))) (log.f32 (+.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 (fma.f32 u1 u1 u1)))))
(log.f32 (+.f32 (fma.f32 (fma.f32 u1 u1 u1) (neg.f32 u1) u1) #s(literal 1 binary32)))
(exp.f32 (*.f32 #s(literal 3 binary32) (log.f32 u1)))
(exp.f32 (.f32 (.f32 #s(literal 2 binary32) (log.f32 u1)) #s(literal 3/2 binary32)))
(exp.f32 (.f32 (.f32 #s(literal 3 binary32) (log.f32 u1)) #s(literal 1 binary32)))
(exp.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (log.f32 u1)) #s(literal 3 binary32) (.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)) #s(literal 3 binary32))))
(exp.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (log.f32 u1)) #s(literal 3 binary32) (.f32 (*.f32 #s(literal 3 binary32) (log.f32 u1)) #s(literal 1/2 binary32))))
(exp.f32 (fma.f32 (.f32 #s(literal 3 binary32) (log.f32 u1)) #s(literal 1/2 binary32) (.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)) #s(literal 3 binary32))))
(exp.f32 (fma.f32 (.f32 #s(literal 3 binary32) (log.f32 u1)) #s(literal 1/2 binary32) (.f32 (*.f32 #s(literal 3 binary32) (log.f32 u1)) #s(literal 1/2 binary32))))
(pow.f32 u1 #s(literal 3 binary32))
(pow.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1 binary32))
(pow.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32))
(pow.f32 (sqrt.f32 u1) #s(literal 6 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 3/2 binary32))
(pow.f32 (*.f32 u1 (sqrt.f32 u1)) #s(literal 2 binary32))
(sqrt.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (*.f32 u1 u1))))
(.f32 u1 (.f32 u1 u1))
(.f32 #s(literal 1 binary32) (.f32 u1 (*.f32 u1 u1)))
(.f32 (.f32 u1 (*.f32 u1 u1)) #s(literal 1 binary32))
(.f32 (.f32 u1 (*.f32 u1 u1)) (pow.f32 #s(literal 1 binary32) #s(literal 3/2 binary32)))
(.f32 (.f32 u1 u1) u1)
(.f32 (.f32 u1 (sqrt.f32 u1)) (*.f32 u1 (sqrt.f32 u1)))
(.f32 (pow.f32 #s(literal 1 binary32) #s(literal 3/2 binary32)) (.f32 u1 (*.f32 u1 u1)))
(.f32 (pow.f32 (.f32 u1 (sqrt.f32 u1)) #s(literal 1 binary32)) (pow.f32 (*.f32 u1 (sqrt.f32 u1)) #s(literal 1 binary32)))
(log1p.f32 (*.f32 u1 u1))
(log1p.f32 (*.f32 u1 (neg.f32 u1)))
(log1p.f32 (neg.f32 (*.f32 u1 (neg.f32 u1))))
(log1p.f32 (*.f32 (neg.f32 (neg.f32 u1)) u1))
(neg.f32 (neg.f32 (log1p.f32 (*.f32 u1 u1))))
(neg.f32 (log.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 (.f32 u1 (.f32 u1 u1)) (neg.f32 u1) #s(literal 1 binary32)))))
(neg.f32 (log.f32 (/.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (*.f32 u1 u1)) #s(literal 1 binary32)))))
(+.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 0 binary32))
(+.f32 (log1p.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (neg.f32 u1))) (neg.f32 (log1p.f32 (.f32 u1 u1))))
(+.f32 (log1p.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1)))) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 1 binary32)))))
(+.f32 (log.f32 (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) (neg.f32 u1) #s(literal 1 binary32)) (fma.f32 (.f32 u1 (.f32 u1 u1)) (neg.f32 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 u1 u1)))
(+.f32 (log.f32 (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) (neg.f32 u1) #s(literal 1 binary32)) (fma.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1)) #s(literal 1 binary32)))) (log1p.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(-.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 0 binary32))
(-.f32 (log1p.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (neg.f32 u1))) (log1p.f32 (.f32 u1 u1)))
(-.f32 (log1p.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (neg.f32 u1))) (log.f32 (.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(-.f32 #s(literal 0 binary32) (neg.f32 (log1p.f32 (*.f32 u1 u1))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 (.f32 u1 (.f32 u1 u1)) (neg.f32 u1) #s(literal 1 binary32)))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (*.f32 u1 u1)) #s(literal 1 binary32)))))
(-.f32 (log1p.f32 (.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))))) (log.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 (.f32 u1 (.f32 u1 (.f32 u1 u1))) (fma.f32 u1 (.f32 u1 (*.f32 u1 u1)) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(-.f32 (log1p.f32 (neg.f32 (.f32 u1 (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 (.f32 u1 u1))))))) (log.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 (.f32 u1 (.f32 u1 u1)) #s(literal 1 binary32)))))
(-.f32 (log1p.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1)))) (log1p.f32 (.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(-.f32 (log1p.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1)))) (log.f32 (fma.f32 u1 (.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(-.f32 (log1p.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1)))) (log.f32 (.f32 #s(literal 1 binary32) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 1 binary32)))))
(-.f32 (log.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 (*.f32 u1 u1))))) (log.f32 (neg.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))))
(-.f32 (log.f32 (neg.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) (log.f32 #s(literal -1 binary32)))
(-.f32 (log.f32 (neg.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1)) #s(literal 1 binary32)))) (log.f32 (neg.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 1 binary32)))))
(-.f32 (log.f32 (-.f32 (.f32 u1 (.f32 u1 (.f32 u1 u1))) #s(literal 1 binary32))) (log.f32 (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))
(-.f32 (log.f32 (-.f32 (.f32 u1 (.f32 u1 (.f32 u1 u1))) #s(literal 1 binary32))) (log.f32 (-.f32 (.f32 u1 (neg.f32 u1)) #s(literal 1 binary32))))
(log.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))
(neg.f32 (.f32 (.f32 u1 (*.f32 u1 u1)) (neg.f32 u1)))
(exp.f32 (*.f32 #s(literal 4 binary32) (log.f32 u1)))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 4 binary32)))
(exp.f32 (.f32 (.f32 #s(literal 2 binary32) (log.f32 u1)) #s(literal 2 binary32)))
(exp.f32 (.f32 (log.f32 (.f32 u1 (neg.f32 u1))) #s(literal 2 binary32)))
(pow.f32 u1 #s(literal 4 binary32))
(pow.f32 (sqrt.f32 u1) #s(literal 8 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 2 binary32))
(pow.f32 (*.f32 u1 (neg.f32 u1)) #s(literal 2 binary32))
(.f32 u1 (.f32 u1 (*.f32 u1 u1)))
(.f32 u1 (.f32 (neg.f32 u1) (*.f32 u1 (neg.f32 u1))))
(.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 (.f32 u1 u1))))
(.f32 (.f32 u1 (*.f32 u1 u1)) u1)
(.f32 (.f32 u1 u1) (*.f32 u1 u1))
(.f32 (neg.f32 u1) (.f32 u1 (*.f32 u1 (neg.f32 u1))))
(.f32 (.f32 u1 (neg.f32 u1)) (*.f32 u1 (neg.f32 u1)))
(.f32 (.f32 u1 (.f32 u1 (.f32 u1 u1))) #s(literal 1 binary32))
(.f32 (.f32 (*.f32 u1 (neg.f32 u1)) u1) (neg.f32 u1))
(.f32 (.f32 (*.f32 u1 (neg.f32 u1)) (neg.f32 u1)) u1)
(.f32 (pow.f32 (.f32 #s(literal 1 binary32) (neg.f32 u1)) #s(literal 2 binary32)) (*.f32 u1 u1))

eval130.0ms (1%)

Memory: 27.8MiB live, 218.0MiB allocated
Compiler: Compiled 29 184 to 3 082 computations (89.4% saved)

prune287.0ms (2.3%)

Memory

-6.5MiB live, 517.0MiB allocated

Pruning

60 alts after pruning (54 fresh and 6 done)

	Pruned	Kept	Total
New	945	26	971
Fresh	7	28	35
Picked	5	0	5
Done	0	6	6
Total	957	60	1 017

Accuracy

99.9%

Counts

1 017 → 60

Alt Table

Click to see full alt table

Status	Accuracy	Program
	92.7%	(.f32 (pow.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
	93.3%	(.f32 (pow.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
	90.9%	(.f32 (pow.f32 (exp.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))) #s(literal 1/2 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
	98.1%	(.f32 (/.f32 (sqrt.f32 (neg.f32 (+.f32 (pow.f32 (log1p.f32 (fma.f32 (fma.f32 u1 u1 u1) (neg.f32 u1) u1)) #s(literal 3 binary32)) (pow.f32 (.f32 (log1p.f32 u1) #s(literal -2 binary32)) #s(literal 3 binary32))))) (sqrt.f32 (fma.f32 (.f32 #s(literal 2 binary32) (log1p.f32 u1)) (fma.f32 #s(literal 2 binary32) (log1p.f32 u1) (log1p.f32 (fma.f32 (fma.f32 u1 u1 u1) (neg.f32 u1) u1))) (pow.f32 (log1p.f32 (fma.f32 (fma.f32 u1 u1 u1) (neg.f32 u1) u1)) #s(literal 2 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	54.6%	(.f32 (sqrt.f32 (-.f32 (log.f32 (.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32)))) (log.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	98.5%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 #s(literal 2 binary32) (-.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log1p.f32 (fma.f32 u1 u1 (neg.f32 u1)))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	47.4%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 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)))
	50.7%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (.f32 u1 (.f32 u1 u1))))) (log.f32 (.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	95.6%	(.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (- u1 ( u1 (+ (* u1 u1) u1))))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -3/4 binary32) #s(literal 1/3 binary32)) #s(literal -3/2 binary32)) u1)) (.f32 #s(literal 2 binary32) (log1p.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
✓	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	54.6%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1)))) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.4%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (.f32 (fma.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))) #s(literal -1 binary32)) u1) (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	95.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
✓	93.4%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
✓	93.4%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
	78.4%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
	93.1%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) #s(approx ( u1 (+ (* u1 (+ (* u1 -1/3) -1/2)) -1)) (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	52.3%	(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	95.3%	(.f32 (sqrt.f32 #s(approx (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1))))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.4%	(.f32 (sqrt.f32 #s(approx (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1))))) (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.3%	(.f32 (sqrt.f32 #s(approx (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1))))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	90.9%	(.f32 (exp.f32 (.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
	76.5%	(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (fma.f32 #s(approx (sqrt (* u1 (* u1 u1))) (neg.f32 (*.f32 u1 (sqrt.f32 u1)))) #s(literal 1/4 binary32) (sqrt.f32 u1))))
	94.7%	(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (fma.f32 (.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1/4 binary32) (.f32 #s(literal 1/6 binary32) u1)) (.f32 (.f32 (sqrt.f32 u1) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1))) (.f32 u1 #s(literal 1/2 binary32)))) (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.7%	(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (fma.f32 (.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	82.0%	(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32))))
	88.8%	(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (fma.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)) (.f32 (sqrt.f32 u1) (.f32 u1 #s(literal 1/4 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	75.0%	(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (fma.f32 #s(approx (sqrt (* u1 (* u1 u1))) (neg.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))))) #s(literal 1/4 binary32) (exp.f32 (.f32 #s(literal 1/2 binary32) (log.f32 u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.1%	(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (neg.f32 u1)) (fma.f32 (sqrt.f32 u1) (.f32 u1 #s(literal 1/4 binary32)) (neg.f32 (sqrt.f32 u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.0%	(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (.f32 (fma.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))) #s(literal 1/64 binary32) (.f32 u1 (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	78.1%	(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	67.4%	(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
✓	78.4%	(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	72.5%	(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32))))
	72.5%	(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32))))
	76.9%	(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (exp.f32 (.f32 #s(literal 1/2 binary32) (log.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.3%	(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) #s(approx (+ (* (sqrt (* u1 (* u1 u1))) 1/4) (sqrt u1)) (.f32 (.f32 u1 u1) (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.7%	#s(approx (* (sqrt (+ (log (/ (+ (* u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (cos (* (* 2 (PI)) u2))) (fma.f32 (.f32 u1 u1) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))))
	47.7%	#s(approx (* (sqrt (+ (log (/ (+ 1 u1) (- 1 (* u1 (* u1 (* u1 u1)))))) (log (+ 1 (* u1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (+.f32 (log1p.f32 (.f32 u1 u1)) (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 (.f32 u1 u1)))))))))
	92.9%	#s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (fma.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 #s(literal 2/3 binary32) (.f32 u2 u2))))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1)))))))
	81.2%	#s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (pow.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32)))
	90.8%	#s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))))
	80.5%	#s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 (.f32 (fma.f32 (.f32 u1 u1) (fma.f32 #s(literal -1/3 binary32) (.f32 u1 u1) #s(literal -1/2 binary32)) #s(literal -1 binary32)) u1) u1)))))
	80.9%	#s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (*.f32 u1 #s(literal -1/4 binary32)) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))))
	79.7%	#s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 u1 (*.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32)))))))
	77.5%	#s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* u1 (neg u1)))) (*.f32 u1 (neg.f32 u1))))))
	47.8%	#s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log.f32 (+.f32 u1 #s(literal 1 binary32))) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
	75.3%	#s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (fma.f32 u1 (.f32 u1 #s(literal -1/2 binary32)) u1)) (log1p.f32 (.f32 u1 (neg.f32 u1))))))
	81.9%	#s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
	46.2%	#s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
	79.3%	#s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))))
	78.0%	#s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))))
	75.1%	#s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))))
	76.9%	#s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg 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))))
	75.2%	#s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1)))))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1))))
	67.6%	#s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1)))))) (sqrt.f32 u1)))
	81.8%	#s(approx (* (sqrt (neg (- (log (+ 1 (- u1 (* u1 (+ (* u1 u1) u1))))) (* 2 (log (+ 1 u1)))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (.f32 #s(literal 2 binary32) (log1p.f32 u1)) (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))))))

Compiler

Compiled 3 638 to 1 423 computations (60.9% saved)

regimes322.0ms (2.6%)

Memory

10.9MiB live, 520.3MiB allocated

Counts

99 → 1

Calls

Call 1

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

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

Calls

10 calls:

54.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
41.0ms	cosTheta_i
32.0ms	u1
31.0ms	(-.f32 #s(literal 1 binary32) u1)
29.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))

Results

Accuracy	Segments	Branch
99.1%	1	`cosTheta_i`
99.1%	1	`u1`
99.1%	1	`u2`
99.1%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
99.1%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
99.1%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
99.1%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
99.1%	1	`(-.f32 #s(literal 1 binary32) u1)`
99.1%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
99.1%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes216.0ms (1.7%)

Memory

-13.1MiB live, 460.4MiB allocated

Counts

68 → 1

Calls

Call 1

Inputs
#s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1)))))) (sqrt.f32 u1)))
(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))))
#s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))))
#s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))))
#s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1)))))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1))))
(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32))))
(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32))))
(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32))))
#s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg 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))))
#s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
#s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* u1 (neg u1)))) (*.f32 u1 (neg.f32 u1))))))
#s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (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)))
#s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (fma.f32 u1 (.f32 u1 #s(literal -1/2 binary32)) u1)) (log1p.f32 (.f32 u1 (neg.f32 u1))))))
#s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 u1 (*.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32)))))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1))))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1)))) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1))))) (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 (.f32 (fma.f32 (.f32 u1 u1) (fma.f32 #s(literal -1/3 binary32) (.f32 u1 u1) #s(literal -1/2 binary32)) #s(literal -1 binary32)) u1) u1)))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (-.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (fma.f32 #s(approx (sqrt (* u1 (* u1 u1))) (neg.f32 (*.f32 u1 (sqrt.f32 u1)))) #s(literal 1/4 binary32) (sqrt.f32 u1))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1))))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1)))) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (fma.f32 #s(approx (sqrt (* u1 (* u1 u1))) (neg.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))))) #s(literal 1/4 binary32) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (*.f32 u1 #s(literal -1/4 binary32)) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))))
(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.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)) #s(approx ( u1 (+ (* u1 (+ (* u1 -1/3) -1/2)) -1)) (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (neg.f32 u1)) (fma.f32 (sqrt.f32 u1) (.f32 u1 #s(literal 1/4 binary32)) (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)) #s(approx ( u1 (+ (* u1 (+ (* u1 -1/3) -1/2)) -1)) (.f32 (neg.f32 u1) (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (fma.f32 (.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (fma.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)) (.f32 (sqrt.f32 u1) (.f32 u1 #s(literal 1/4 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) #s(approx (+ (* (sqrt (* u1 (* u1 u1))) 1/4) (sqrt u1)) (.f32 (.f32 u1 u1) (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (.f32 (fma.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))) #s(literal -1 binary32)) u1) (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (fma.f32 (.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1/4 binary32) (.f32 #s(literal 1/6 binary32) u1)) (.f32 (.f32 u1 (.f32 (sqrt.f32 u1) #s(literal 1/2 binary32))) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1)))) (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (fma.f32 (.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1/4 binary32) (.f32 #s(literal 1/6 binary32) u1)) (.f32 (.f32 (sqrt.f32 u1) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1))) (.f32 u1 #s(literal 1/2 binary32)))) (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (.f32 (fma.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))) #s(literal 1/64 binary32) (.f32 u1 (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
#s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log.f32 (+.f32 u1 #s(literal 1 binary32))) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (- u1 (* u1 (+ (* u1 u1) u1))))) (* 2 (log (+ 1 u1)))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (.f32 #s(literal 2 binary32) (log1p.f32 u1)) (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
#s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))))
(.f32 (sqrt.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
#s(approx (* (sqrt (+ (log (/ (+ 1 u1) (- 1 (* u1 (* u1 (* u1 u1)))))) (log (+ 1 (* u1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (+.f32 (log1p.f32 (.f32 u1 u1)) (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 (.f32 u1 u1)))))))))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (- u1 ( u1 (+ (* u1 u1) u1))))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -3/4 binary32) #s(literal 1/3 binary32)) #s(literal -3/2 binary32)) u1)) (.f32 #s(literal 2 binary32) (log1p.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) (.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (fma.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) (.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (+ (log (/ (+ (* u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (cos (* (* 2 (PI)) u2))) (fma.f32 (.f32 u1 u1) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))))
#s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (pow.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32)))
(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (exp.f32 (.f32 #s(literal 1/2 binary32) (log.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

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

Calls

10 calls:

33.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
22.0ms	(-.f32 #s(literal 1 binary32) u1)
21.0ms	cosTheta_i
21.0ms	u2
21.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Results

Accuracy	Segments	Branch
99.1%	1	`cosTheta_i`
99.1%	1	`u1`
99.1%	1	`u2`
99.1%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
99.1%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
99.1%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
99.1%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
99.1%	1	`(-.f32 #s(literal 1 binary32) u1)`
99.1%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
99.1%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes149.0ms (1.2%)

Memory

-9.7MiB live, 311.3MiB allocated

Counts

51 → 1

Calls

Call 1

Inputs
#s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1)))))) (sqrt.f32 u1)))
(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))))
#s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))))
#s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))))
#s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1)))))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1))))
(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32))))
(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32))))
(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32))))
#s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg 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))))
#s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
#s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* u1 (neg u1)))) (*.f32 u1 (neg.f32 u1))))))
#s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (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)))
#s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (fma.f32 u1 (.f32 u1 #s(literal -1/2 binary32)) u1)) (log1p.f32 (.f32 u1 (neg.f32 u1))))))
#s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 u1 (*.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32)))))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1))))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1)))) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1))))) (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 (.f32 (fma.f32 (.f32 u1 u1) (fma.f32 #s(literal -1/3 binary32) (.f32 u1 u1) #s(literal -1/2 binary32)) #s(literal -1 binary32)) u1) u1)))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (-.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (fma.f32 #s(approx (sqrt (* u1 (* u1 u1))) (neg.f32 (*.f32 u1 (sqrt.f32 u1)))) #s(literal 1/4 binary32) (sqrt.f32 u1))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1))))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1)))) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (fma.f32 #s(approx (sqrt (* u1 (* u1 u1))) (neg.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))))) #s(literal 1/4 binary32) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (*.f32 u1 #s(literal -1/4 binary32)) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))))
(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.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)) #s(approx ( u1 (+ (* u1 (+ (* u1 -1/3) -1/2)) -1)) (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (neg.f32 u1)) (fma.f32 (sqrt.f32 u1) (.f32 u1 #s(literal 1/4 binary32)) (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)) #s(approx ( u1 (+ (* u1 (+ (* u1 -1/3) -1/2)) -1)) (.f32 (neg.f32 u1) (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (fma.f32 (.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (fma.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)) (.f32 (sqrt.f32 u1) (.f32 u1 #s(literal 1/4 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) #s(approx (+ (* (sqrt (* u1 (* u1 u1))) 1/4) (sqrt u1)) (.f32 (.f32 u1 u1) (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (.f32 (fma.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))) #s(literal -1 binary32)) u1) (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (fma.f32 (.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1/4 binary32) (.f32 #s(literal 1/6 binary32) u1)) (.f32 (.f32 u1 (.f32 (sqrt.f32 u1) #s(literal 1/2 binary32))) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1)))) (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (fma.f32 (.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1/4 binary32) (.f32 #s(literal 1/6 binary32) u1)) (.f32 (.f32 (sqrt.f32 u1) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1))) (.f32 u1 #s(literal 1/2 binary32)))) (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (.f32 (fma.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))) #s(literal 1/64 binary32) (.f32 u1 (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
#s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log.f32 (+.f32 u1 #s(literal 1 binary32))) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Outputs

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

Calls

10 calls:

19.0ms	(-.f32 #s(literal 1 binary32) u1)
18.0ms	u1
15.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
14.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
14.0ms	cosTheta_i

Results

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

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes99.0ms (0.8%)

Memory

24.0MiB live, 177.4MiB allocated

Counts

32 → 1

Calls

Call 1

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

Outputs

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

Calls

10 calls:

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

Results

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

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes87.0ms (0.7%)

Memory

-5.2MiB live, 191.8MiB allocated

Counts

30 → 2

Calls

Call 1

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

Outputs

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

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

Calls

10 calls:

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

Results

Accuracy	Segments	Branch
93.4%	1	`cosTheta_i`
96.8%	2	`u1`
97.1%	2	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
96.8%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
96.8%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
96.9%	2	`u2`
96.8%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
96.8%	2	`(-.f32 #s(literal 1 binary32) u1)`
96.8%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
96.9%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes8.0ms (0.1%)

Memory

14.7MiB live, 14.7MiB allocated

Counts

26 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

7.0ms

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

Results

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

Compiler

Compiled 16 to 14 computations (12.5% saved)

regimes88.0ms (0.7%)

Memory

-30.5MiB live, 144.3MiB allocated

Counts

24 → 2

Calls

Call 1

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

Outputs

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

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

Calls

10 calls:

24.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
8.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
8.0ms	cosTheta_i
8.0ms	(-.f32 #s(literal 1 binary32) u1)
7.0ms	u1

Results

Accuracy	Segments	Branch
89.3%	1	`cosTheta_i`
95.2%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
94.7%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
94.7%	2	`(-.f32 #s(literal 1 binary32) u1)`
94.7%	2	`u1`
94.7%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
94.7%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
95.2%	2	`u2`
95.2%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
95.5%	2	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes7.0ms (0.1%)

Memory

14.2MiB live, 14.2MiB allocated

Counts

22 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

6.0ms

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

Results

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

Compiler

Compiled 16 to 14 computations (12.5% saved)

regimes61.0ms (0.5%)

Memory

0.2MiB live, 119.9MiB allocated

Counts

20 → 2

Calls

Call 1

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

Outputs

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

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

Calls

10 calls:

7.0ms	u1
7.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
7.0ms	(-.f32 #s(literal 1 binary32) u1)
6.0ms	cosTheta_i
6.0ms	u2

Results

Accuracy	Segments	Branch
82.0%	1	`cosTheta_i`
89.7%	2	`u1`
89.7%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
89.7%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
89.7%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
89.7%	2	`(-.f32 #s(literal 1 binary32) u1)`
91.5%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
91.5%	2	`u2`
91.5%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
90.8%	2	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes43.0ms (0.3%)

Memory

8.4MiB live, 86.6MiB allocated

Counts

15 → 2

Calls

Call 1

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

Outputs

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

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

Calls

9 calls:

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

Results

Accuracy	Segments	Branch
87.8%	2	`u1`
87.8%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
87.8%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
87.8%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
87.8%	2	`(-.f32 #s(literal 1 binary32) u1)`
88.1%	2	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
87.9%	2	`u2`
87.9%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
87.8%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`

Compiler

Compiled 71 to 61 computations (14.1% saved)

regimes37.0ms (0.3%)

Memory

5.5MiB live, 48.3MiB allocated

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

9 calls:

5.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
4.0ms	u2
4.0ms	u1
4.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
4.0ms	(-.f32 #s(literal 1 binary32) u1)

Results

Accuracy	Segments	Branch
85.2%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
85.2%	2	`(-.f32 #s(literal 1 binary32) u1)`
85.2%	2	`u1`
85.2%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
85.2%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
85.5%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
85.5%	2	`u2`
85.5%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
85.4%	2	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`

Compiler

Compiled 71 to 61 computations (14.1% saved)

regimes37.0ms (0.3%)

Memory

-7.5MiB live, 71.2MiB allocated

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

10 calls:

5.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
4.0ms	u1
4.0ms	u2
4.0ms	cosTheta_i
4.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
79.3%	1	`cosTheta_i`
82.7%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
82.7%	2	`(-.f32 #s(literal 1 binary32) u1)`
82.7%	2	`u1`
82.7%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
82.7%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
83.1%	2	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
83.1%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
83.1%	2	`u2`
83.1%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes3.0ms (0%)

Memory

8.9MiB live, 8.9MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

3.0ms

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

Results

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

Compiler

Compiled 16 to 14 computations (12.5% saved)

regimes25.0ms (0.2%)

Memory

-19.4MiB live, 61.5MiB allocated

Counts

6 → 1

Calls

Call 1

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

Outputs

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

Calls

9 calls:

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

Results

Accuracy	Segments	Branch
79.3%	1	`u1`
79.3%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
79.3%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
79.3%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
79.3%	1	`(-.f32 #s(literal 1 binary32) u1)`
79.3%	1	`u2`
79.3%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
79.3%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
79.3%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`

Compiler

Compiled 71 to 61 computations (14.1% saved)

regimes22.0ms (0.2%)

Memory

4.9MiB live, 44.3MiB allocated

Counts

4 → 1

Calls

Call 1

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

Outputs

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

Calls

10 calls:

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

Results

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

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes34.0ms (0.3%)

Memory

-7.1MiB live, 31.7MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

Outputs

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

Calls

10 calls:

17.0ms	u2
2.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
2.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
2.0ms	u1
2.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
75.1%	1	`cosTheta_i`
75.1%	1	`u1`
75.1%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
75.1%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
75.1%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
75.1%	1	`u2`
75.1%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
75.1%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
75.1%	1	`(-.f32 #s(literal 1 binary32) u1)`
75.1%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes19.0ms (0.2%)

Memory

-9.9MiB live, 29.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

10 calls:

5.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
2.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
1.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
1.0ms	cosTheta_i
1.0ms	(-.f32 #s(literal 1 binary32) u1)

Results

Accuracy	Segments	Branch
67.6%	1	`u2`
67.6%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
67.6%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
67.6%	1	`(-.f32 #s(literal 1 binary32) u1)`
67.6%	1	`cosTheta_i`
67.6%	1	`u1`
67.6%	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)))`
67.6%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
67.6%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
67.6%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`

Compiler

Compiled 75 to 64 computations (14.7% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.13237141072750092	0.1356177181005478

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.13237141072750092	0.1356177181005478

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.05080457031726837	0.058269158005714417

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.05080457031726837	0.058269158005714417

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999637603759766	0.9999685287475586

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.05080457031726837	0.058269158005714417

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0012940338347107172	0.0013078686315566301

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0017940548714250326	0.001906801015138626

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0017940548714250326	0.001906801015138626

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify15.0ms (0.1%)

Memory

30.2MiB live, 30.2MiB allocated

Algorithm

1×	egg-herbie

Rules

66×	`*-commutative_binary32`
14×	`sub-neg_binary32`
14×	`+-commutative_binary32`
12×	`neg-sub0_binary32`
12×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	157	1113
1	201	1113
2	214	1113
3	220	1113

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(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 9059697/67108864 binary32)) (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(approx ( (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 9059697/67108864 binary32)) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(approx ( (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 7381975/134217728 binary32)) (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(approx ( (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 7381975/134217728 binary32)) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(approx ( (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(if (<=.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16776629/16777216 binary32)) (.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 7381975/134217728 binary32)) (.f32 #s(approx (sqrt (+ (log (/ (+ (* u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)))) #s(approx ( (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 11166915/8589934592 binary32)) #s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))) (.f32 #s(approx (sqrt (+ (log (/ (+ (* u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)))))
(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 7730941/4294967296 binary32)) (.f32 #s(approx (sqrt (+ (log (/ (+ (* u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)))) #s(approx ( (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))))
(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 7730941/4294967296 binary32)) (.f32 #s(approx (sqrt (+ (log (/ (+ (* u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32)))) #s(approx ( (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))))
#s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))))
#s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))))
#s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))))
#s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1)))))) (sqrt.f32 u1)))

Outputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))))
(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 9059697/67108864 binary32)) (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(approx ( (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(if (<=.f32 (.f32 (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))) #s(literal 9059697/67108864 binary32)) (.f32 (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))) #s(approx ( (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 9059697/67108864 binary32)) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(approx ( (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(if (<=.f32 (.f32 (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))) #s(literal 9059697/67108864 binary32)) (.f32 (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))) #s(approx ( (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 7381975/134217728 binary32)) (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(approx ( (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(if (<=.f32 (.f32 (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))) #s(literal 7381975/134217728 binary32)) (.f32 (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))))) #s(approx ( (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 7381975/134217728 binary32)) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(approx ( (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(if (<=.f32 (.f32 (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))) #s(literal 7381975/134217728 binary32)) (.f32 (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1)))) #s(approx ( (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(if (<=.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16776629/16777216 binary32)) (.f32 #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(if (<=.f32 (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 16776629/16777216 binary32)) (.f32 (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) #s(approx (sqrt (+ (log (/ (+ ( u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (sqrt.f32 u1))) #s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 7381975/134217728 binary32)) (.f32 #s(approx (sqrt (+ (log (/ (+ (* u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)))) #s(approx ( (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(if (<=.f32 (.f32 (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))) #s(literal 7381975/134217728 binary32)) (.f32 #s(approx (sqrt (+ (log (/ (+ (* u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)))) #s(approx ( (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 11166915/8589934592 binary32)) #s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))) (.f32 #s(approx (sqrt (+ (log (/ (+ (* u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)))))
(if (<=.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 11166915/8589934592 binary32)) #s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))) (.f32 #s(approx (sqrt (+ (log (/ (+ (* u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)))))
(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 7730941/4294967296 binary32)) (.f32 #s(approx (sqrt (+ (log (/ (+ (* u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)))) #s(approx ( (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))))
(if (<=.f32 (.f32 (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))) #s(literal 7730941/4294967296 binary32)) (.f32 #s(approx (sqrt (+ (log (/ (+ (* u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)))) #s(approx ( (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))))
(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 7730941/4294967296 binary32)) (.f32 #s(approx (sqrt (+ (log (/ (+ (* u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32)))) #s(approx ( (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))))
(if (<=.f32 (.f32 (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))) #s(literal 7730941/4294967296 binary32)) (.f32 #s(approx (sqrt (+ (log (/ (+ (* u1 u1) (+ 1 u1)) (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32)))) #s(approx ( (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))))
#s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))))
#s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))))
#s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))))
#s(approx (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1)))))) (sqrt.f32 u1)))

soundness1.6s (12.4%)

Memory

-0.5MiB live, 1 343.4MiB allocated

Rules

10 110×	`lower-fma.f64`
10 110×	`lower-fma.f32`
10 108×	`lower-fma.f64`
10 108×	`lower-fma.f32`
9 448×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	289	1737
1	858	1458
2	2728	1335
3	6882	1298
0	8134	1246
0	879	10111
1	2690	8148
2	7798	8078
0	8120	7545
0	662	8589
1	1981	6881
2	6438	6428
0	8138	6054
0	53	416
0	97	295
1	347	277
2	2530	252
0	9202	219
0	13	33
0	22	33
1	65	33
2	320	33
3	2355	31
0	8649	23
0	73	512
0	119	394
1	454	348
2	3338	305
0	8691	282
0	669	7933
1	2081	6636
2	6444	6250
0	8454	5915

Stop Event

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

Compiler

Compiled 1 473 to 818 computations (44.5% saved)

preprocess120.0ms (1%)

Memory

14.8MiB live, 135.2MiB allocated

Remove

(abs cosTheta_i)

(abs u2)

Compiler

Compiled 1 274 to 486 computations (61.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze448.0ms (3.6%)

sample2.2s (17.2%)

explain137.0ms (1.1%)

preprocess47.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0.1%)

localize39.0ms (0.3%)

series152.0ms (1.2%)

simplify232.0ms (1.8%)

rewrite219.0ms (1.7%)

eval36.0ms (0.3%)

prune113.0ms (0.9%)

simplify445.0ms (3.5%)

localize258.0ms (2.1%)

series92.0ms (0.7%)

simplify326.0ms (2.6%)

rewrite291.0ms (2.3%)

eval216.0ms (1.7%)

prune273.0ms (2.2%)

simplify264.0ms (2.1%)

localize512.0ms (4.1%)

series113.0ms (0.9%)

simplify290.0ms (2.3%)

rewrite387.0ms (3.1%)

eval186.0ms (1.5%)

prune294.0ms (2.3%)

simplify480.0ms (3.8%)

localize291.0ms (2.3%)

series211.0ms (1.7%)

simplify297.0ms (2.4%)

rewrite368.0ms (2.9%)

eval130.0ms (1%)

prune287.0ms (2.3%)

regimes322.0ms (2.6%)

regimes216.0ms (1.7%)

regimes149.0ms (1.2%)

regimes99.0ms (0.8%)

regimes87.0ms (0.7%)

regimes8.0ms (0.1%)

regimes88.0ms (0.7%)

regimes7.0ms (0.1%)

regimes61.0ms (0.5%)

regimes43.0ms (0.3%)

regimes37.0ms (0.3%)

regimes37.0ms (0.3%)

regimes3.0ms (0%)

regimes25.0ms (0.2%)

regimes22.0ms (0.2%)

regimes34.0ms (0.3%)

regimes19.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify15.0ms (0.1%)

soundness1.6s (12.4%)

preprocess120.0ms (1%)

end0.0ms (0%)

Profiling