Metrics for UniformSampleCone, z

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze101.0ms (1.6%)

Memory

10.2MiB live, 127.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0.1%	99.9%	0%	0%	0%	0
0%	0%	0.1%	99.9%	0%	0%	0%	1
0%	0%	0.1%	99.9%	0%	0%	0%	2
25%	0%	0.1%	99.9%	0%	0%	0%	3
25%	0%	0.1%	99.9%	0%	0%	0%	4
37.5%	0%	0.1%	99.9%	0%	0%	0%	5
56.2%	0.1%	0%	99.9%	0%	0%	0%	6
56.2%	0.1%	0%	99.9%	0%	0%	0%	7
65.6%	0.1%	0%	99.9%	0%	0%	0%	8
76.6%	0.1%	0%	99.9%	0%	0%	0%	9
76.6%	0.1%	0%	99.9%	0%	0%	0%	10
82%	0.1%	0%	99.9%	0%	0%	0%	11
87.9%	0.1%	0%	99.9%	0%	0%	0%	12

Compiler

Compiled 31 to 21 computations (32.3% saved)

sample1.0s (16.3%)

Memory

64.6MiB live, 1 387.8MiB allocated

Samples

686.0ms	8 179×	0	valid
9.0ms	77×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 480.0ms

const: 140.0ms (29.2% of total)

ival-<=: 125.0ms (26.1% of total)

ival-mult: 61.0ms (12.7% of total)

ival-add: 58.0ms (12.1% of total)

ival-sub: 51.0ms (10.6% of total)

ival-and: 31.0ms (6.5% of total)

exact: 8.0ms (1.7% of total)

ival-assert: 3.0ms (0.6% of total)

adjust: 2.0ms (0.4% of total)

Bogosity

explain64.0ms (1%)

Memory

-24.9MiB live, 93.6MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`#s(literal 1 binary32)`
-	-	`(*.f32 ux maxCos)`
-	-	`maxCos`
-	-	`ux`
-	-	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
-	-	`(-.f32 #s(literal 1 binary32) ux)`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

22.0ms	508×	0	valid
0.0ms	4×	1	valid

Compiler

Compiled 59 to 32 computations (45.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-add: 3.0ms (31.7% of total)

ival-sub: 3.0ms (31.7% of total)

ival-mult: 3.0ms (31.7% of total)

adjust: 0.0ms (0% of total)

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

exact: 0.0ms (0% of total)

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

preprocess62.0ms (1%)

Memory

28.3MiB live, 65.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	72
1	78	63
2	215	63
3	586	63
4	1301	63
5	1679	63
6	1809	63
7	1829	63
0	6	7
0	9	7
1	17	7
2	35	7
3	64	7
4	143	7
5	290	7
6	426	7
7	464	7
8	469	7
0	469	6

Stop Event

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

Calls

Call 1

Inputs
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))

Outputs
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))

Symmetry

(abs uy)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))

Compiler

Compiled 7 to 7 computations (0% saved)

simplify18.0ms (0.3%)

Memory

-19.5MiB live, 17.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f32 ux maxCos)
cost-diff	0	(-.f32 #s(literal 1 binary32) ux)
cost-diff	64	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	9	16
1	17	16
2	35	16
3	64	16
4	143	16
5	290	16
6	426	16
7	464	16
8	469	16
0	469	15

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
ux
(*.f32 ux maxCos)
maxCos

Outputs
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
ux
(*.f32 maxCos ux)
maxCos

localize16.0ms (0.2%)

Memory

24.2MiB live, 24.2MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(-.f32 #s(literal 1 binary32) ux)
accuracy	0	(*.f32 ux maxCos)
accuracy	0.04296875	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))

Samples

11.0ms	254×	0	valid
0.0ms	2×	1	valid

Compiler

Compiled 34 to 16 computations (52.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 2.0ms (43.1% of total)

ival-add: 1.0ms (21.5% of total)

ival-sub: 1.0ms (21.5% of total)

adjust: 0.0ms (0% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated

Counts

3 → 60

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())
#s(alt #<batchref> (patch (*.f32 ux maxCos) #<representation binary32>) () ())

Inputs

#s(alt #<batchref> (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())

#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())

#s(alt #<batchref> (patch (*.f32 ux maxCos) #<representation binary32>) () ())

Outputs
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf maxCos) (#s(alt #<batchref> (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf maxCos) (#s(alt #<batchref> (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf maxCos) (#s(alt #<batchref> (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf maxCos) (#s(alt #<batchref> (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf maxCos) (#s(alt #<batchref> (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf maxCos) (#s(alt #<batchref> (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf maxCos) (#s(alt #<batchref> (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf maxCos) (#s(alt #<batchref> (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf maxCos) (#s(alt #<batchref> (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf maxCos) (#s(alt #<batchref> (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf maxCos) (#s(alt #<batchref> (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf maxCos) (#s(alt #<batchref> (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf maxCos) (#s(alt #<batchref> (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf maxCos) (#s(alt #<batchref> (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf maxCos) (#s(alt #<batchref> (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf maxCos) (#s(alt #<batchref> (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 ux) (#s(alt #<batchref> (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 ux) (#s(alt #<batchref> (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 ux) (#s(alt #<batchref> (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 ux) (#s(alt #<batchref> (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 ux) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 ux) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 ux) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 ux) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 ux) (#s(alt #<batchref> (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 ux) (#s(alt #<batchref> (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 ux) (#s(alt #<batchref> (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 ux) (#s(alt #<batchref> (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf ux) (#s(alt #<batchref> (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf ux) (#s(alt #<batchref> (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf ux) (#s(alt #<batchref> (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf ux) (#s(alt #<batchref> (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf ux) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf ux) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf ux) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf ux) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf ux) (#s(alt #<batchref> (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf ux) (#s(alt #<batchref> (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf ux) (#s(alt #<batchref> (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf ux) (#s(alt #<batchref> (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	ux	@	inf	((+ (- 1 ux) (* ux maxCos)) (- 1 ux) (* ux maxCos))
1.0ms	ux	@	-inf	((+ (- 1 ux) (* ux maxCos)) (- 1 ux) (* ux maxCos))
1.0ms	maxCos	@	-inf	((+ (- 1 ux) (* ux maxCos)) (- 1 ux) (* ux maxCos))
1.0ms	maxCos	@	0	((+ (- 1 ux) (* ux maxCos)) (- 1 ux) (* ux maxCos))
0.0ms	maxCos	@	inf	((+ (- 1 ux) (* ux maxCos)) (- 1 ux) (* ux maxCos))

simplify154.0ms (2.4%)

Memory

2.0MiB live, 77.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	250
1	110	250
2	306	250
3	846	250
4	2111	250
5	3323	250
6	4315	250
7	5344	250
8	6772	250
9	7313	250
10	7650	250
11	7962	250
0	8013	232

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
1
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)

Outputs
(-.f32 #s(literal 1 binary32) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(*.f32 maxCos ux)
(*.f32 maxCos ux)
(*.f32 maxCos ux)
(*.f32 maxCos ux)
(*.f32 maxCos ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(*.f32 maxCos ux)
(*.f32 maxCos ux)
(*.f32 maxCos ux)
(*.f32 maxCos ux)
(*.f32 maxCos ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(*.f32 maxCos ux)
(*.f32 maxCos ux)
(*.f32 maxCos ux)
(*.f32 maxCos ux)
#s(literal 1 binary32)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) ux)
(-.f32 #s(literal 1 binary32) ux)
(-.f32 #s(literal 1 binary32) ux)
(*.f32 maxCos ux)
(*.f32 maxCos ux)
(*.f32 maxCos ux)
(*.f32 maxCos ux)
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(neg.f32 ux)
(-.f32 #s(literal 1 binary32) ux)
(-.f32 #s(literal 1 binary32) ux)
(-.f32 #s(literal 1 binary32) ux)
(*.f32 maxCos ux)
(*.f32 maxCos ux)
(*.f32 maxCos ux)
(*.f32 maxCos ux)
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(neg.f32 ux)
(-.f32 #s(literal 1 binary32) ux)
(-.f32 #s(literal 1 binary32) ux)
(-.f32 #s(literal 1 binary32) ux)
(*.f32 maxCos ux)
(*.f32 maxCos ux)
(*.f32 maxCos ux)
(*.f32 maxCos ux)

rewrite180.0ms (2.9%)

Memory

-14.3MiB live, 210.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
0	9	13
1	42	13
2	343	13
3	5268	13
0	8968	12

Stop Event

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

Counts

3 → 311

Calls

Call 1

Inputs
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) ux)
(*.f32 ux maxCos)

Outputs
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eval55.0ms (0.9%)

Memory: 14.6MiB live, 90.3MiB allocated
Compiler: Compiled 6 571 to 786 computations (88% saved)

prune281.0ms (4.5%)

Memory

-28.1MiB live, 30.0MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	366	5	371
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	366	6	372

Accuracy

100.0%

Counts

372 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.5%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
▶	99.9%	(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
▶	98.8%	(+.f32 (/.f32 (-.f32 (.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (.f32 ux maxCos))
✓	99.9%	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
▶	97.5%	#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
▶	71.4%	#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))

Compiler

Compiled 109 to 97 computations (11% saved)

simplify248.0ms (3.9%)

Memory

7.2MiB live, 196.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	64	(-.f32 (neg.f32 ux) #s(literal 1 binary32))
cost-diff	64	(-.f32 (*.f32 ux ux) #s(literal 1 binary32))
cost-diff	64	(+.f32 (/.f32 (-.f32 (.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (.f32 ux maxCos))
cost-diff	544	(/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32)))
cost-diff	0	(-.f32 #s(literal 1 binary32) ux)
cost-diff	0	(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
cost-diff	0	(/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
cost-diff	704	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
cost-diff	0	(-.f32 #s(literal 1 binary32) ux)
cost-diff	0	#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
cost-diff	0	#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
cost-diff	0	(*.f32 maxCos ux)
cost-diff	0	(-.f32 ux (*.f32 maxCos ux))
cost-diff	64	(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	118
0	35	96
1	71	96
2	129	95
3	264	95
4	522	95
5	1322	95
6	3509	95
7	4927	95
8	6210	95
9	6827	95
10	7488	95
11	7571	95
0	8695	94

Stop Event

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

Calls

Call 1

Inputs
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
#s(literal 1 binary32)
(-.f32 ux (*.f32 maxCos ux))
ux
(*.f32 maxCos ux)
maxCos
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
#s(literal 1 binary32)
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
ux
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
#s(literal 1 binary32)
(/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
maxCos
ux
(-.f32 #s(literal 1 binary32) ux)
(+.f32 (/.f32 (-.f32 (.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (.f32 ux maxCos))
(/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32)))
(-.f32 (*.f32 ux ux) #s(literal 1 binary32))
(*.f32 ux ux)
ux
#s(literal 1 binary32)
(-.f32 (neg.f32 ux) #s(literal 1 binary32))
(neg.f32 ux)
(*.f32 ux maxCos)
maxCos

Outputs
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
#s(literal 1 binary32)
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
ux
(*.f32 maxCos ux)
maxCos
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
#s(literal 1 binary32)
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
ux
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
#s(literal 1 binary32)
(/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
maxCos
ux
(-.f32 #s(literal 1 binary32) ux)
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
(fma.f32 ux ux #s(literal -1 binary32))
(*.f32 ux ux)
ux
#s(literal 1 binary32)
(-.f32 #s(literal -1 binary32) ux)
(neg.f32 ux)
(*.f32 maxCos ux)
maxCos

localize93.0ms (1.5%)

Memory

-1.1MiB live, 123.8MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f32 ux)
accuracy	0.015625	(-.f32 (*.f32 ux ux) #s(literal 1 binary32))
accuracy	0.04296875	(+.f32 (/.f32 (-.f32 (.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (.f32 ux maxCos))
accuracy	0.3671875	(/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32)))
accuracy	0	(-.f32 #s(literal 1 binary32) ux)
accuracy	0.16796875	(/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
accuracy	0.3671875	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
accuracy	0.8140655284561003	(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
accuracy	0	(-.f32 #s(literal 1 binary32) ux)
accuracy	0.8140655284561003	#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
accuracy	9.156411337252148	#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
accuracy	0	(*.f32 maxCos ux)
accuracy	0.0078125	(-.f32 ux (*.f32 maxCos ux))
accuracy	0.02734375	(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))

Samples

73.0ms	252×	0	valid
1.0ms	4×	1	valid

Compiler

Compiled 235 to 45 computations (80.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-add: 19.0ms (45.3% of total)

ival-sub: 8.0ms (19.1% of total)

ival-div: 7.0ms (16.7% of total)

ival-mult: 6.0ms (14.3% of total)

ival-neg: 2.0ms (4.8% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series21.0ms (0.3%)

Memory

1.4MiB live, 39.7MiB allocated

Counts

14 → 276

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (-.f32 ux (*.f32 maxCos ux)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (*.f32 maxCos ux) #<representation binary32>) () ())
#s(alt #<batchref> (patch #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt #<batchref> (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())
#s(alt #<batchref> (patch (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (+.f32 (/.f32 (-.f32 (.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (.f32 ux maxCos)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (neg.f32 ux) #<representation binary32>) () ())

Outputs
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (-.f32 ux (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (-.f32 ux (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (-.f32 ux (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (-.f32 ux (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (*.f32 maxCos ux) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (*.f32 maxCos ux) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (*.f32 maxCos ux) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (*.f32 maxCos ux) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
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#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (+.f32 (/.f32 (-.f32 (.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (+.f32 (/.f32 (-.f32 (.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (+.f32 (/.f32 (-.f32 (.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (+.f32 (/.f32 (-.f32 (.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (neg.f32 ux) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (neg.f32 ux) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (neg.f32 ux) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (neg.f32 ux) #<representation binary32>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	ux	@	-inf	((- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* maxCos ux) (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)) (- 1 ux) (/ 1 (/ 1 (+ (* maxCos ux) (- 1 ux)))) (/ 1 (+ (* maxCos ux) (- 1 ux))) (+ (* maxCos ux) (- 1 ux)) (/ (- (* ux ux) 1) (- (neg ux) 1)) (+ (/ (- (* ux ux) 1) (- (neg ux) 1)) (* ux maxCos)) (- (* ux ux) 1) (- (neg ux) 1) (neg ux))
2.0ms	maxCos	@	inf	((- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* maxCos ux) (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)) (- 1 ux) (/ 1 (/ 1 (+ (* maxCos ux) (- 1 ux)))) (/ 1 (+ (* maxCos ux) (- 1 ux))) (+ (* maxCos ux) (- 1 ux)) (/ (- (* ux ux) 1) (- (neg ux) 1)) (+ (/ (- (* ux ux) 1) (- (neg ux) 1)) (* ux maxCos)) (- (* ux ux) 1) (- (neg ux) 1) (neg ux))
2.0ms	ux	@	inf	((- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* maxCos ux) (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)) (- 1 ux) (/ 1 (/ 1 (+ (* maxCos ux) (- 1 ux)))) (/ 1 (+ (* maxCos ux) (- 1 ux))) (+ (* maxCos ux) (- 1 ux)) (/ (- (* ux ux) 1) (- (neg ux) 1)) (+ (/ (- (* ux ux) 1) (- (neg ux) 1)) (* ux maxCos)) (- (* ux ux) 1) (- (neg ux) 1) (neg ux))
1.0ms	maxCos	@	0	((- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* maxCos ux) (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)) (- 1 ux) (/ 1 (/ 1 (+ (* maxCos ux) (- 1 ux)))) (/ 1 (+ (* maxCos ux) (- 1 ux))) (+ (* maxCos ux) (- 1 ux)) (/ (- (* ux ux) 1) (- (neg ux) 1)) (+ (/ (- (* ux ux) 1) (- (neg ux) 1)) (* ux maxCos)) (- (* ux ux) 1) (- (neg ux) 1) (neg ux))
1.0ms	maxCos	@	-inf	((- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* maxCos ux) (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)) (- 1 ux) (/ 1 (/ 1 (+ (* maxCos ux) (- 1 ux)))) (/ 1 (+ (* maxCos ux) (- 1 ux))) (+ (* maxCos ux) (- 1 ux)) (/ (- (* ux ux) 1) (- (neg ux) 1)) (+ (/ (- (* ux ux) 1) (- (neg ux) 1)) (* ux maxCos)) (- (* ux ux) 1) (- (neg ux) 1) (neg ux))

simplify184.0ms (2.9%)

Memory

19.7MiB live, 235.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	215	2032
1	645	1994
2	1945	1951
0	9120	1842

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 275

Calls

Call 1

Inputs
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
ux
(+ ux (* -1 (* maxCos ux)))
(+ ux (* -1 (* maxCos ux)))
(+ ux (* -1 (* maxCos ux)))
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(/ 1 (- 1 ux))
(+ (* -1 (/ (* maxCos ux) (pow (- 1 ux) 2))) (/ 1 (- 1 ux)))
(+ (* maxCos (- (/ (* maxCos (pow ux 2)) (pow (- 1 ux) 3)) (/ ux (pow (- 1 ux) 2)))) (/ 1 (- 1 ux)))
(+ (* maxCos (- (* maxCos (- (* -1 (/ (* maxCos (pow ux 3)) (pow (- 1 ux) 4))) (* -1 (/ (pow ux 2) (pow (- 1 ux) 3))))) (/ ux (pow (- 1 ux) 2)))) (/ 1 (- 1 ux)))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(* -1 (/ (- (pow ux 2) 1) (+ 1 ux)))
(+ (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))) (* maxCos ux))
(+ (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))) (* maxCos ux))
(+ (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))) (* maxCos ux))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* -1 (* maxCos ux))
(* maxCos (- (/ ux maxCos) ux))
(* maxCos (- (/ ux maxCos) ux))
(* maxCos (- (/ ux maxCos) ux))
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(/ 1 (* maxCos ux))
(/ (- (+ (/ 1 ux) (/ 1 (* maxCos ux))) (/ 1 (* maxCos (pow ux 2)))) maxCos)
(/ (- (+ (* -1 (/ (* (- 1 ux) (- (/ 1 ux) (/ 1 (pow ux 2)))) (* (pow maxCos 2) ux))) (+ (/ 1 ux) (/ 1 (* maxCos ux)))) (/ 1 (* maxCos (pow ux 2)))) maxCos)
(/ (- (+ (/ 1 ux) (+ (/ 1 (* maxCos ux)) (/ (* (pow (- 1 ux) 2) (- (/ 1 ux) (/ 1 (pow ux 2)))) (* (pow maxCos 3) (pow ux 2))))) (+ (/ 1 (* maxCos (pow ux 2))) (/ (* (- 1 ux) (- (/ 1 ux) (/ 1 (pow ux 2)))) (* (pow maxCos 2) ux)))) maxCos)
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos ux)
(* maxCos (+ ux (* -1 (/ (- (pow ux 2) 1) (* maxCos (+ 1 ux))))))
(* maxCos (+ ux (* -1 (/ (- (pow ux 2) 1) (* maxCos (+ 1 ux))))))
(* maxCos (+ ux (* -1 (/ (- (pow ux 2) 1) (* maxCos (+ 1 ux))))))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos ux))
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(/ 1 (* maxCos ux))
(* -1 (/ (- (* -1 (/ (- (/ 1 ux) (/ 1 (pow ux 2))) maxCos)) (/ 1 ux)) maxCos))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (- 1 ux) (- (/ 1 ux) (/ 1 (pow ux 2)))) (* maxCos ux))) (/ 1 ux)) (/ 1 (pow ux 2))) maxCos)) (/ 1 ux)) maxCos))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 1 ux) 2) (- (/ 1 ux) (/ 1 (pow ux 2)))) (* maxCos (pow ux 2)))) (* -1 (/ (* (- 1 ux) (- (/ 1 ux) (/ 1 (pow ux 2)))) ux))) maxCos)) (/ 1 ux)) (/ 1 (pow ux 2))) maxCos)) (/ 1 ux)) maxCos))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* maxCos ux)
(* -1 (* maxCos (- (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(* -1 (* maxCos (- (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(* -1 (* maxCos (- (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
1
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
1
(+ 1 (* ux (- 1 maxCos)))
(+ 1 (* ux (- (+ 1 (* -1 (* ux (* (- 1 maxCos) (- maxCos 1))))) maxCos)))
(+ 1 (* ux (- (+ 1 (* ux (- (* ux (* (- 1 maxCos) (pow (- maxCos 1) 2))) (* (- 1 maxCos) (- maxCos 1))))) maxCos)))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
1
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
-1
(- (pow ux 2) 1)
(- (pow ux 2) 1)
(- (pow ux 2) 1)
-1
(- (* -1 ux) 1)
(- (* -1 ux) 1)
(- (* -1 ux) 1)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(/ 1 (* ux (- maxCos 1)))
(/ (- (/ 1 (- maxCos 1)) (/ 1 (* ux (pow (- maxCos 1) 2)))) ux)
(/ (- (+ (/ 1 (* (pow ux 2) (pow (- maxCos 1) 3))) (/ 1 (- maxCos 1))) (/ 1 (* ux (pow (- maxCos 1) 2)))) ux)
(/ (- (+ (/ 1 (* (pow ux 2) (pow (- maxCos 1) 3))) (/ 1 (- maxCos 1))) (+ (/ 1 (* ux (pow (- maxCos 1) 2))) (/ 1 (* (pow ux 3) (pow (- maxCos 1) 4))))) ux)
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(pow ux 2)
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(* -1 ux)
(* -1 (* ux (+ 1 (/ 1 ux))))
(* -1 (* ux (+ 1 (/ 1 ux))))
(* -1 (* ux (+ 1 (/ 1 ux))))
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* ux (+ 1 (* -1 maxCos)))
(* ux (+ 1 (* -1 maxCos)))
(* ux (+ 1 (* -1 maxCos)))
(* ux (+ 1 (* -1 maxCos)))
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(/ -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (/ (+ (/ 1 (* ux (pow (+ 1 (* -1 maxCos)) 2))) (/ 1 (+ 1 (* -1 maxCos)))) ux))
(* -1 (/ (+ (/ 1 (* ux (pow (+ 1 (* -1 maxCos)) 2))) (+ (/ 1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 3))) (/ 1 (+ 1 (* -1 maxCos))))) ux))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* ux (pow (+ 1 (* -1 maxCos)) 4))) (/ 1 (pow (+ 1 (* -1 maxCos)) 3))) ux)) (/ 1 (pow (+ 1 (* -1 maxCos)) 2))) ux)) (/ 1 (+ 1 (* -1 maxCos)))) ux))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(pow ux 2)
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(* -1 ux)
(* -1 (* ux (+ 1 (/ 1 ux))))
(* -1 (* ux (+ 1 (/ 1 ux))))
(* -1 (* ux (+ 1 (/ 1 ux))))
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)

Outputs
(-.f32 #s(literal 1 binary32) ux)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
ux
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 maxCos ux)
(*.f32 maxCos ux)
(*.f32 maxCos ux)
(*.f32 maxCos ux)
(-.f32 #s(literal 1 binary32) ux)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) ux)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) ux)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (/.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos))
(fma.f32 (-.f32 (.f32 (.f32 ux ux) (/.f32 maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)))) (/.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) maxCos (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (-.f32 (.f32 (-.f32 (.f32 ux (/.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)))) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (/.f32 maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))))) maxCos) (/.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) maxCos (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))
(-.f32 #s(literal 1 binary32) ux)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux))
(fma.f32 maxCos ux (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux)))
(fma.f32 maxCos ux (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux)))
(fma.f32 maxCos ux (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux)))
(*.f32 maxCos ux)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(*.f32 (neg.f32 maxCos) ux)
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(*.f32 maxCos ux)
(*.f32 maxCos ux)
(*.f32 maxCos ux)
(*.f32 maxCos ux)
(*.f32 maxCos ux)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(*.f32 maxCos ux)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(*.f32 maxCos ux)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(/.f32 (/.f32 #s(literal 1 binary32) maxCos) ux)
(/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (/.f32 #s(literal 1 binary32) ux) ux)) maxCos) (/.f32 #s(literal 1 binary32) ux)) maxCos)
(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 (fma.f32 (/.f32 (-.f32 ux #s(literal 1 binary32)) ux) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (/.f32 #s(literal 1 binary32) ux) ux)) maxCos) (/.f32 #s(literal 1 binary32) ux)) (/.f32 (/.f32 #s(literal 1 binary32) ux) ux)) maxCos)) maxCos)
(/.f32 (fma.f32 (/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 maxCos #s(literal 3 binary32))) ux) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (/.f32 #s(literal 1 binary32) ux) ux)) ux) (+.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (-.f32 ux #s(literal 1 binary32)) ux) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (/.f32 #s(literal 1 binary32) ux) ux)) maxCos) (/.f32 #s(literal 1 binary32) ux)) (/.f32 (/.f32 #s(literal 1 binary32) ux) ux)) maxCos) (/.f32 #s(literal 1 binary32) ux))) maxCos)
(*.f32 maxCos ux)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(*.f32 maxCos ux)
(*.f32 (-.f32 ux (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 maxCos ux maxCos))) maxCos)
(*.f32 (-.f32 ux (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 maxCos ux maxCos))) maxCos)
(*.f32 (-.f32 ux (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 maxCos ux maxCos))) maxCos)
(*.f32 maxCos ux)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(*.f32 (neg.f32 maxCos) ux)
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(*.f32 maxCos ux)
(*.f32 maxCos ux)
(*.f32 maxCos ux)
(*.f32 maxCos ux)
(*.f32 maxCos ux)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(*.f32 maxCos ux)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(*.f32 maxCos ux)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(/.f32 (/.f32 #s(literal 1 binary32) maxCos) ux)
(/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (/.f32 #s(literal 1 binary32) ux) ux)) maxCos) (/.f32 #s(literal 1 binary32) ux)) maxCos)
(/.f32 (+.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (-.f32 ux #s(literal 1 binary32)) ux) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (/.f32 #s(literal 1 binary32) ux) ux)) maxCos) (/.f32 #s(literal 1 binary32) ux)) (/.f32 (/.f32 #s(literal 1 binary32) ux) ux)) maxCos) (/.f32 #s(literal 1 binary32) ux)) maxCos)
(/.f32 (+.f32 (/.f32 (-.f32 (+.f32 (/.f32 (.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (/.f32 #s(literal 1 binary32) ux) ux)) (-.f32 (/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux) (.f32 maxCos ux)) (/.f32 (-.f32 #s(literal 1 binary32) ux) ux))) maxCos) (/.f32 #s(literal 1 binary32) ux)) (/.f32 (/.f32 #s(literal 1 binary32) ux) ux)) maxCos) (/.f32 #s(literal 1 binary32) ux)) maxCos)
(*.f32 maxCos ux)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(*.f32 maxCos ux)
(*.f32 (-.f32 ux (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 maxCos ux maxCos))) maxCos)
(*.f32 (-.f32 ux (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 maxCos ux maxCos))) maxCos)
(*.f32 (-.f32 ux (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 maxCos ux maxCos))) maxCos)
#s(literal 1 binary32)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 maxCos ux)
(*.f32 maxCos ux)
(*.f32 maxCos ux)
(*.f32 maxCos ux)
#s(literal 1 binary32)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
#s(literal 1 binary32)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) ux)
(-.f32 #s(literal 1 binary32) ux)
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
#s(literal 1 binary32)
(fma.f32 (-.f32 #s(literal 1 binary32) maxCos) ux #s(literal 1 binary32))
(fma.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) ux #s(literal 1 binary32))
(fma.f32 (fma.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) ux (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) ux (-.f32 #s(literal 1 binary32) maxCos)) ux #s(literal 1 binary32))
#s(literal 1 binary32)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) ux)
(-.f32 #s(literal 1 binary32) ux)
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
#s(literal -1 binary32)
(fma.f32 ux ux #s(literal -1 binary32))
(fma.f32 ux ux #s(literal -1 binary32))
(fma.f32 ux ux #s(literal -1 binary32))
#s(literal -1 binary32)
(-.f32 #s(literal -1 binary32) ux)
(-.f32 #s(literal -1 binary32) ux)
(-.f32 #s(literal -1 binary32) ux)
(neg.f32 ux)
(neg.f32 ux)
(neg.f32 ux)
(neg.f32 ux)
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 maxCos ux)
(*.f32 maxCos ux)
(*.f32 maxCos ux)
(*.f32 maxCos ux)
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(neg.f32 ux)
(-.f32 #s(literal 1 binary32) ux)
(-.f32 #s(literal 1 binary32) ux)
(-.f32 #s(literal 1 binary32) ux)
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))) ux)
(/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) ux)) ux)
(/.f32 (+.f32 (/.f32 (/.f32 #s(literal -1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) ux) (+.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32))) ux) ux) (/.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))))) ux)
(/.f32 (-.f32 (+.f32 (/.f32 (/.f32 #s(literal -1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) ux) (+.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32))) ux) ux) (/.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))))) (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))) (pow.f32 ux #s(literal 3 binary32)))) ux)
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(neg.f32 ux)
(-.f32 #s(literal 1 binary32) ux)
(-.f32 #s(literal 1 binary32) ux)
(-.f32 #s(literal 1 binary32) ux)
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(*.f32 ux ux)
(*.f32 ux (fma.f32 (/.f32 (/.f32 #s(literal -1 binary32) ux) ux) ux ux))
(*.f32 ux (fma.f32 (/.f32 (/.f32 #s(literal -1 binary32) ux) ux) ux ux))
(*.f32 ux (fma.f32 (/.f32 (/.f32 #s(literal -1 binary32) ux) ux) ux ux))
(neg.f32 ux)
(-.f32 #s(literal -1 binary32) ux)
(-.f32 #s(literal -1 binary32) ux)
(-.f32 #s(literal -1 binary32) ux)
(neg.f32 ux)
(neg.f32 ux)
(neg.f32 ux)
(neg.f32 ux)
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 maxCos ux)
(*.f32 maxCos ux)
(*.f32 maxCos ux)
(*.f32 maxCos ux)
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(neg.f32 ux)
(-.f32 #s(literal 1 binary32) ux)
(-.f32 #s(literal 1 binary32) ux)
(-.f32 #s(literal 1 binary32) ux)
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))
(/.f32 (+.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 (/.f32 #s(literal -1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) ux)) ux)
(/.f32 (fma.f32 (+.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos))) #s(literal -1 binary32) (/.f32 (/.f32 #s(literal -1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) ux)) ux)
(/.f32 (+.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 (-.f32 (/.f32 #s(literal -1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 4 binary32)) ux))) ux)) ux)) ux)
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(neg.f32 ux)
(-.f32 #s(literal 1 binary32) ux)
(-.f32 #s(literal 1 binary32) ux)
(-.f32 #s(literal 1 binary32) ux)
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(*.f32 ux ux)
(*.f32 ux (fma.f32 (/.f32 (/.f32 #s(literal -1 binary32) ux) ux) ux ux))
(*.f32 ux (fma.f32 (/.f32 (/.f32 #s(literal -1 binary32) ux) ux) ux ux))
(*.f32 ux (fma.f32 (/.f32 (/.f32 #s(literal -1 binary32) ux) ux) ux ux))
(neg.f32 ux)
(-.f32 #s(literal -1 binary32) ux)
(-.f32 #s(literal -1 binary32) ux)
(-.f32 #s(literal -1 binary32) ux)
(neg.f32 ux)
(neg.f32 ux)
(neg.f32 ux)
(neg.f32 ux)

rewrite311.0ms (4.9%)

Memory

11.5MiB live, 238.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	97
0	35	75
1	183	75
2	1522	75
0	8634	74

Stop Event

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

Counts

14 → 1 563

Calls

Call 1

Inputs
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
(-.f32 ux (*.f32 maxCos ux))
(*.f32 maxCos ux)
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32)))
(+.f32 (/.f32 (-.f32 (.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (.f32 ux maxCos))
(-.f32 (*.f32 ux ux) #s(literal 1 binary32))
(-.f32 (neg.f32 ux) #s(literal 1 binary32))
(neg.f32 ux)

Outputs
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eval330.0ms (5.2%)

Memory: -26.5MiB live, 364.9MiB allocated
Compiler: Compiled 45 125 to 3 286 computations (92.7% saved)

prune89.0ms (1.4%)

Memory

20.2MiB live, 98.6MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	1 977	3	1 980
Fresh	0	0	0
Picked	2	3	5
Done	0	1	1
Total	1 979	7	1 986

Accuracy

100.0%

Counts

1 986 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.5%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))))
✓	99.9%	(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
▶	99.9%	(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)))
✓	99.9%	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
▶	96.1%	#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))) (.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))))
✓	97.5%	#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
✓	71.4%	#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))

Compiler

Compiled 99 to 75 computations (24.2% saved)

simplify207.0ms (3.3%)

Memory

27.1MiB live, 174.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f32 #s(literal 1 binary32) ux)
cost-diff	0	#s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))
cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)))
cost-diff	704	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))))
cost-diff	0	(-.f32 (/.f32 ux maxCos) ux)
cost-diff	0	(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
cost-diff	0	#s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos))
cost-diff	0	(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)))
cost-diff	64	(.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))
cost-diff	96	(-.f32 (.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32)))
cost-diff	160	(*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))
cost-diff	512	(/.f32 (-.f32 (.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))) (.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	210
0	45	202
1	94	190
2	253	152
3	1328	152
4	3410	152
5	6640	152
0	8166	144

Stop Event

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

Calls

Call 1

Inputs
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))) (.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))))
(/.f32 (-.f32 (.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))) (.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))
(-.f32 (.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32)))
(.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))
(*.f32 ux ux)
ux
(neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))
(-.f32 (neg.f32 ux) #s(literal 1 binary32))
(neg.f32 ux)
#s(literal 1 binary32)
(*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))
#s(literal -1 binary32)
(*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))
(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)))
#s(literal 1 binary32)
#s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos))
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(-.f32 (/.f32 ux maxCos) ux)
(/.f32 ux maxCos)
ux
maxCos
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))))
#s(literal 1 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)))
#s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
ux

Outputs
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux)))
(/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux))
(*.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 ux #s(literal -1 binary32)))
(*.f32 (fma.f32 ux ux ux) ux)
(*.f32 ux ux)
ux
(-.f32 ux #s(literal -1 binary32))
(-.f32 #s(literal -1 binary32) ux)
(neg.f32 ux)
#s(literal 1 binary32)
(-.f32 ux #s(literal -1 binary32))
#s(literal -1 binary32)
(*.f32 (-.f32 ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux))
(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)))
#s(literal 1 binary32)
#s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos))
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(-.f32 (/.f32 ux maxCos) ux)
(/.f32 ux maxCos)
ux
maxCos
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
#s(literal 1 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
ux

localize130.0ms (2%)

Memory

-0.2MiB live, 122.1MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(-.f32 #s(literal 1 binary32) ux)
accuracy	0.16796875	(/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)))
accuracy	0.3671875	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))))
accuracy	0.8140655284561003	#s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))
accuracy	0	#s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos))
accuracy	0.02734375	(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)))
accuracy	0.0703125	(-.f32 (/.f32 ux maxCos) ux)
accuracy	0.15234375	(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
accuracy	0.34375	(.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))
accuracy	0.40824130861065216	(/.f32 (-.f32 (.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))) (.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))
accuracy	0.45150375976844204	(*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))
accuracy	0.8140655284561003	#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))) (.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))))

Samples

111.0ms	246×	0	valid
3.0ms	10×	1	valid

Compiler

Compiled 366 to 59 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-add: 36.0ms (45.4% of total)

ival-div: 17.0ms (21.4% of total)

ival-sub: 12.0ms (15.1% of total)

ival-mult: 11.0ms (13.9% of total)

ival-neg: 2.0ms (2.5% of total)

adjust: 1.0ms (1.3% of total)

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

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

exact: 0.0ms (0% of total)

series46.0ms (0.7%)

Memory

-15.7MiB live, 56.7MiB allocated

Counts

14 → 264

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (/.f32 (-.f32 (.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))) (.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (-.f32 (.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos))) #<representation binary32>) () ())
#s(alt #<batchref> (patch #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos) #<representation binary32>) () ())
#s(alt #<batchref> (patch (-.f32 (/.f32 ux maxCos) ux) #<representation binary32>) () ())
#s(alt #<batchref> (patch (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())
#s(alt #<batchref> (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))) (.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) #<representation binary32>) () ())

Outputs
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (-.f32 (/.f32 ux maxCos) ux) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (-.f32 (/.f32 ux maxCos) ux) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (-.f32 (/.f32 ux maxCos) ux) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (-.f32 (/.f32 ux maxCos) ux) #<representation binary32>) () ())) ())
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#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))) (.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))) #<representation binary32>) () ())) ())
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#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))) (.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))) #<representation binary32>) () ())) ())
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#s(alt #<batchref> (taylor inf maxCos) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf maxCos) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf maxCos) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf maxCos) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf maxCos) (#s(alt #<batchref> (patch #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf maxCos) (#s(alt #<batchref> (patch #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf maxCos) (#s(alt #<batchref> (patch #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)) #<representation binary32>) () ())) ())
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#s(alt #<batchref> (taylor inf maxCos) (#s(alt #<batchref> (patch (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf maxCos) (#s(alt #<batchref> (patch (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf maxCos) (#s(alt #<batchref> (patch (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf maxCos) (#s(alt #<batchref> (patch (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf maxCos) (#s(alt #<batchref> (patch (-.f32 (/.f32 ux maxCos) ux) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf maxCos) (#s(alt #<batchref> (patch (-.f32 (/.f32 ux maxCos) ux) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf maxCos) (#s(alt #<batchref> (patch (-.f32 (/.f32 ux maxCos) ux) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf maxCos) (#s(alt #<batchref> (patch (-.f32 (/.f32 ux maxCos) ux) #<representation binary32>) () ())) ())
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#s(alt #<batchref> (taylor inf maxCos) (#s(alt #<batchref> (patch (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf maxCos) (#s(alt #<batchref> (patch (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf maxCos) (#s(alt #<batchref> (patch (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf maxCos) (#s(alt #<batchref> (patch (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf maxCos) (#s(alt #<batchref> (patch (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf maxCos) (#s(alt #<batchref> (patch #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
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#s(alt #<batchref> (taylor inf maxCos) (#s(alt #<batchref> (patch #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf maxCos) (#s(alt #<batchref> (patch #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
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#s(alt #<batchref> (taylor -inf maxCos) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf maxCos) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos))) #<representation binary32>) () ())) ())
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#s(alt #<batchref> (taylor -inf maxCos) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf maxCos) (#s(alt #<batchref> (patch #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf maxCos) (#s(alt #<batchref> (patch #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf maxCos) (#s(alt #<batchref> (patch #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)) #<representation binary32>) () ())) ())
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#s(alt #<batchref> (taylor -inf maxCos) (#s(alt #<batchref> (patch (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf maxCos) (#s(alt #<batchref> (patch (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos) #<representation binary32>) () ())) ())
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#s(alt #<batchref> (taylor -inf maxCos) (#s(alt #<batchref> (patch (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
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#s(alt #<batchref> (taylor -inf maxCos) (#s(alt #<batchref> (patch #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf maxCos) (#s(alt #<batchref> (patch #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf maxCos) (#s(alt #<batchref> (patch #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
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#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
23.0ms	maxCos	@	inf	((/ (- (* (* ux ux) (neg (- (neg ux) 1))) (* (- (neg ux) 1) -1)) (* (- (neg ux) 1) (neg (- (neg ux) 1)))) (* (- (neg ux) 1) -1) (- (* (* ux ux) (neg (- (neg ux) 1))) (* (- (neg ux) 1) -1)) (* (* ux ux) (neg (- (neg ux) 1))) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* (- (/ ux maxCos) ux) maxCos) (- (/ ux maxCos) ux) (/ 1 (/ 1 (+ (* maxCos ux) (- 1 ux)))) (/ 1 (+ (* maxCos ux) (- 1 ux))) (+ (* maxCos ux) (- 1 ux)) (- 1 ux) (+ (- 1 ux) (* ux maxCos)) (* (- (neg ux) 1) (neg (- (neg ux) 1))))
3.0ms	ux	@	-inf	((/ (- (* (* ux ux) (neg (- (neg ux) 1))) (* (- (neg ux) 1) -1)) (* (- (neg ux) 1) (neg (- (neg ux) 1)))) (* (- (neg ux) 1) -1) (- (* (* ux ux) (neg (- (neg ux) 1))) (* (- (neg ux) 1) -1)) (* (* ux ux) (neg (- (neg ux) 1))) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* (- (/ ux maxCos) ux) maxCos) (- (/ ux maxCos) ux) (/ 1 (/ 1 (+ (* maxCos ux) (- 1 ux)))) (/ 1 (+ (* maxCos ux) (- 1 ux))) (+ (* maxCos ux) (- 1 ux)) (- 1 ux) (+ (- 1 ux) (* ux maxCos)) (* (- (neg ux) 1) (neg (- (neg ux) 1))))
2.0ms	ux	@	inf	((/ (- (* (* ux ux) (neg (- (neg ux) 1))) (* (- (neg ux) 1) -1)) (* (- (neg ux) 1) (neg (- (neg ux) 1)))) (* (- (neg ux) 1) -1) (- (* (* ux ux) (neg (- (neg ux) 1))) (* (- (neg ux) 1) -1)) (* (* ux ux) (neg (- (neg ux) 1))) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* (- (/ ux maxCos) ux) maxCos) (- (/ ux maxCos) ux) (/ 1 (/ 1 (+ (* maxCos ux) (- 1 ux)))) (/ 1 (+ (* maxCos ux) (- 1 ux))) (+ (* maxCos ux) (- 1 ux)) (- 1 ux) (+ (- 1 ux) (* ux maxCos)) (* (- (neg ux) 1) (neg (- (neg ux) 1))))
2.0ms	ux	@	0	((/ (- (* (* ux ux) (neg (- (neg ux) 1))) (* (- (neg ux) 1) -1)) (* (- (neg ux) 1) (neg (- (neg ux) 1)))) (* (- (neg ux) 1) -1) (- (* (* ux ux) (neg (- (neg ux) 1))) (* (- (neg ux) 1) -1)) (* (* ux ux) (neg (- (neg ux) 1))) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* (- (/ ux maxCos) ux) maxCos) (- (/ ux maxCos) ux) (/ 1 (/ 1 (+ (* maxCos ux) (- 1 ux)))) (/ 1 (+ (* maxCos ux) (- 1 ux))) (+ (* maxCos ux) (- 1 ux)) (- 1 ux) (+ (- 1 ux) (* ux maxCos)) (* (- (neg ux) 1) (neg (- (neg ux) 1))))
1.0ms	maxCos	@	-inf	((/ (- (* (* ux ux) (neg (- (neg ux) 1))) (* (- (neg ux) 1) -1)) (* (- (neg ux) 1) (neg (- (neg ux) 1)))) (* (- (neg ux) 1) -1) (- (* (* ux ux) (neg (- (neg ux) 1))) (* (- (neg ux) 1) -1)) (* (* ux ux) (neg (- (neg ux) 1))) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* (- (/ ux maxCos) ux) maxCos) (- (/ ux maxCos) ux) (/ 1 (/ 1 (+ (* maxCos ux) (- 1 ux)))) (/ 1 (+ (* maxCos ux) (- 1 ux))) (+ (* maxCos ux) (- 1 ux)) (- 1 ux) (+ (- 1 ux) (* ux maxCos)) (* (- (neg ux) 1) (neg (- (neg ux) 1))))

simplify189.0ms (3%)

Memory

-0.2MiB live, 277.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	256	2016
1	760	1950
2	2296	1909
0	9051	1830

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 260

Calls

Call 1

Inputs
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
ux
(+ ux (* -1 (* maxCos ux)))
(+ ux (* -1 (* maxCos ux)))
(+ ux (* -1 (* maxCos ux)))
ux
(+ ux (* -1 (* maxCos ux)))
(+ ux (* -1 (* maxCos ux)))
(+ ux (* -1 (* maxCos ux)))
(/ ux maxCos)
(/ (+ ux (* -1 (* maxCos ux))) maxCos)
(/ (+ ux (* -1 (* maxCos ux))) maxCos)
(/ (+ ux (* -1 (* maxCos ux))) maxCos)
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(/ 1 (- 1 ux))
(+ (* -1 (/ (* maxCos ux) (pow (- 1 ux) 2))) (/ 1 (- 1 ux)))
(+ (* maxCos (- (/ (* maxCos (pow ux 2)) (pow (- 1 ux) 3)) (/ ux (pow (- 1 ux) 2)))) (/ 1 (- 1 ux)))
(+ (* maxCos (- (* maxCos (- (* -1 (/ (* maxCos (pow ux 3)) (pow (- 1 ux) 4))) (* -1 (/ (pow ux 2) (pow (- 1 ux) 3))))) (/ ux (pow (- 1 ux) 2)))) (/ 1 (- 1 ux)))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* -1 (* maxCos ux))
(* maxCos (- (/ ux maxCos) ux))
(* maxCos (- (/ ux maxCos) ux))
(* maxCos (- (/ ux maxCos) ux))
(* -1 (* maxCos ux))
(* maxCos (+ (* -1 ux) (/ ux maxCos)))
(* maxCos (+ (* -1 ux) (/ ux maxCos)))
(* maxCos (+ (* -1 ux) (/ ux maxCos)))
(* -1 ux)
(- (/ ux maxCos) ux)
(- (/ ux maxCos) ux)
(- (/ ux maxCos) ux)
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(/ 1 (* maxCos ux))
(/ (- (+ (/ 1 ux) (/ 1 (* maxCos ux))) (/ 1 (* maxCos (pow ux 2)))) maxCos)
(/ (- (+ (* -1 (/ (* (- 1 ux) (- (/ 1 ux) (/ 1 (pow ux 2)))) (* (pow maxCos 2) ux))) (+ (/ 1 ux) (/ 1 (* maxCos ux)))) (/ 1 (* maxCos (pow ux 2)))) maxCos)
(/ (- (+ (/ 1 ux) (+ (/ 1 (* maxCos ux)) (/ (* (pow (- 1 ux) 2) (- (/ 1 ux) (/ 1 (pow ux 2)))) (* (pow maxCos 3) (pow ux 2))))) (+ (/ 1 (* maxCos (pow ux 2))) (/ (* (- 1 ux) (- (/ 1 ux) (/ 1 (pow ux 2)))) (* (pow maxCos 2) ux)))) maxCos)
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos ux))
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(* -1 (* maxCos ux))
(* -1 (* maxCos (+ ux (* -1 (/ ux maxCos)))))
(* -1 (* maxCos (+ ux (* -1 (/ ux maxCos)))))
(* -1 (* maxCos (+ ux (* -1 (/ ux maxCos)))))
(* -1 ux)
(- (/ ux maxCos) ux)
(- (/ ux maxCos) ux)
(- (/ ux maxCos) ux)
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(/ 1 (* maxCos ux))
(* -1 (/ (- (* -1 (/ (- (/ 1 ux) (/ 1 (pow ux 2))) maxCos)) (/ 1 ux)) maxCos))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (- 1 ux) (- (/ 1 ux) (/ 1 (pow ux 2)))) (* maxCos ux))) (/ 1 ux)) (/ 1 (pow ux 2))) maxCos)) (/ 1 ux)) maxCos))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 1 ux) 2) (- (/ 1 ux) (/ 1 (pow ux 2)))) (* maxCos (pow ux 2)))) (* -1 (/ (* (- 1 ux) (- (/ 1 ux) (/ 1 (pow ux 2)))) ux))) maxCos)) (/ 1 ux)) (/ 1 (pow ux 2))) maxCos)) (/ 1 ux)) maxCos))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
1
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
1
(+ 1 ux)
(+ 1 ux)
(+ 1 ux)
-1
(- (* -1 ux) 1)
(- (* ux (- ux 1)) 1)
(- (* ux (- (* ux (+ 1 ux)) 1)) 1)
(pow ux 2)
(* (pow ux 2) (+ 1 ux))
(* (pow ux 2) (+ 1 ux))
(* (pow ux 2) (+ 1 ux))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* maxCos (* ux (- (/ 1 maxCos) 1)))
(* maxCos (* ux (- (/ 1 maxCos) 1)))
(* maxCos (* ux (- (/ 1 maxCos) 1)))
(* maxCos (* ux (- (/ 1 maxCos) 1)))
(* ux (- (/ 1 maxCos) 1))
(* ux (- (/ 1 maxCos) 1))
(* ux (- (/ 1 maxCos) 1))
(* ux (- (/ 1 maxCos) 1))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
1
(+ 1 (* ux (- 1 maxCos)))
(+ 1 (* ux (- (+ 1 (* -1 (* ux (* (- 1 maxCos) (- maxCos 1))))) maxCos)))
(+ 1 (* ux (- (+ 1 (* ux (- (* ux (* (- 1 maxCos) (pow (- maxCos 1) 2))) (* (- 1 maxCos) (- maxCos 1))))) maxCos)))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
1
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
-1
(- (* -2 ux) 1)
(- (* ux (- (* -1 ux) 2)) 1)
(- (* ux (- (* -1 ux) 2)) 1)
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
ux
(* ux (+ 1 (/ 1 ux)))
(* ux (+ 1 (/ 1 ux)))
(* ux (+ 1 (/ 1 ux)))
(pow ux 3)
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* (pow ux 3) (- (+ 1 (/ 1 ux)) (/ 1 (pow ux 2))))
(* (pow ux 3) (+ 1 (+ (* -1 (/ (+ 1 (/ 1 ux)) (pow ux 2))) (/ 1 ux))))
(pow ux 3)
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* maxCos (* ux (- (/ 1 maxCos) 1)))
(* maxCos (* ux (- (/ 1 maxCos) 1)))
(* maxCos (* ux (- (/ 1 maxCos) 1)))
(* maxCos (* ux (- (/ 1 maxCos) 1)))
(* ux (- (/ 1 maxCos) 1))
(* ux (- (/ 1 maxCos) 1))
(* ux (- (/ 1 maxCos) 1))
(* ux (- (/ 1 maxCos) 1))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(/ 1 (* ux (- maxCos 1)))
(/ (- (/ 1 (- maxCos 1)) (/ 1 (* ux (pow (- maxCos 1) 2)))) ux)
(/ (- (+ (/ 1 (* (pow ux 2) (pow (- maxCos 1) 3))) (/ 1 (- maxCos 1))) (/ 1 (* ux (pow (- maxCos 1) 2)))) ux)
(/ (- (+ (/ 1 (* (pow ux 2) (pow (- maxCos 1) 3))) (/ 1 (- maxCos 1))) (+ (/ 1 (* ux (pow (- maxCos 1) 2))) (/ 1 (* (pow ux 3) (pow (- maxCos 1) 4))))) ux)
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 (pow ux 2))
(* -1 (* (pow ux 2) (+ 1 (* 2 (/ 1 ux)))))
(* (pow ux 2) (- (* -1 (/ (+ 2 (/ 1 ux)) ux)) 1))
(* (pow ux 2) (- (* -1 (/ (+ 2 (/ 1 ux)) ux)) 1))
(* -1 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
ux
(* ux (+ 1 (/ 1 ux)))
(* ux (+ 1 (/ 1 ux)))
(* ux (+ 1 (/ 1 ux)))
(pow ux 3)
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* -1 (* (pow ux 3) (- (* -1 (/ (- 1 (/ 1 ux)) ux)) 1)))
(* -1 (* (pow ux 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 ux)) ux))) ux)) 1)))
(pow ux 3)
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* ux (+ 1 (* -1 maxCos)))
(* ux (+ 1 (* -1 maxCos)))
(* ux (+ 1 (* -1 maxCos)))
(* ux (+ 1 (* -1 maxCos)))
(* -1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
(* -1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
(* -1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
(* -1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
(* -1 (* ux (- 1 (/ 1 maxCos))))
(* -1 (* ux (- 1 (/ 1 maxCos))))
(* -1 (* ux (- 1 (/ 1 maxCos))))
(* -1 (* ux (- 1 (/ 1 maxCos))))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(/ -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (/ (+ (/ 1 (* ux (pow (+ 1 (* -1 maxCos)) 2))) (/ 1 (+ 1 (* -1 maxCos)))) ux))
(* -1 (/ (+ (/ 1 (* ux (pow (+ 1 (* -1 maxCos)) 2))) (+ (/ 1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 3))) (/ 1 (+ 1 (* -1 maxCos))))) ux))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* ux (pow (+ 1 (* -1 maxCos)) 4))) (/ 1 (pow (+ 1 (* -1 maxCos)) 3))) ux)) (/ 1 (pow (+ 1 (* -1 maxCos)) 2))) ux)) (/ 1 (+ 1 (* -1 maxCos)))) ux))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (pow ux 2))
(* -1 (* (pow ux 2) (+ 1 (* 2 (/ 1 ux)))))
(* (pow ux 2) (- (* -1 (/ (+ 2 (/ 1 ux)) ux)) 1))
(* (pow ux 2) (- (* -1 (/ (+ 2 (/ 1 ux)) ux)) 1))

Outputs
(-.f32 #s(literal 1 binary32) ux)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
ux
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
ux
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(/.f32 ux maxCos)
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) maxCos)
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) maxCos)
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) maxCos)
(-.f32 #s(literal 1 binary32) ux)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (/.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos))
(fma.f32 (-.f32 (.f32 (.f32 ux ux) (/.f32 maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)))) (/.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) maxCos (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (fma.f32 (-.f32 (.f32 ux (/.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)))) (.f32 (pow.f32 ux #s(literal 3 binary32)) (/.f32 maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))))) maxCos (/.f32 (neg.f32 ux) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) maxCos (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))
(-.f32 #s(literal 1 binary32) ux)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) ux)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(*.f32 maxCos ux)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(*.f32 (neg.f32 maxCos) ux)
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(*.f32 (neg.f32 maxCos) ux)
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(neg.f32 ux)
(-.f32 (/.f32 ux maxCos) ux)
(-.f32 (/.f32 ux maxCos) ux)
(-.f32 (/.f32 ux maxCos) ux)
(*.f32 maxCos ux)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(/.f32 (/.f32 #s(literal 1 binary32) maxCos) ux)
(/.f32 (+.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux) maxCos) (/.f32 #s(literal 1 binary32) ux)) maxCos)
(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (fma.f32 (/.f32 (-.f32 ux #s(literal 1 binary32)) ux) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux) maxCos) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)) maxCos)) maxCos)
(/.f32 (fma.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux) (*.f32 (pow.f32 maxCos #s(literal 3 binary32)) ux)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux) (+.f32 (/.f32 (fma.f32 (/.f32 (-.f32 ux #s(literal 1 binary32)) ux) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux) maxCos) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)) maxCos) (/.f32 #s(literal 1 binary32) ux))) maxCos)
(*.f32 maxCos ux)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(*.f32 maxCos ux)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(*.f32 maxCos ux)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(*.f32 (neg.f32 maxCos) ux)
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(*.f32 (neg.f32 maxCos) ux)
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(neg.f32 ux)
(-.f32 (/.f32 ux maxCos) ux)
(-.f32 (/.f32 ux maxCos) ux)
(-.f32 (/.f32 ux maxCos) ux)
(*.f32 maxCos ux)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(/.f32 (/.f32 #s(literal 1 binary32) maxCos) ux)
(/.f32 (+.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux) maxCos) (/.f32 #s(literal 1 binary32) ux)) maxCos)
(/.f32 (+.f32 (/.f32 (fma.f32 (/.f32 (-.f32 ux #s(literal 1 binary32)) ux) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux) maxCos) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)) maxCos) (/.f32 #s(literal 1 binary32) ux)) maxCos)
(/.f32 (+.f32 (/.f32 (+.f32 (/.f32 (.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux) (-.f32 (/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux) (.f32 maxCos ux)) (/.f32 (-.f32 #s(literal 1 binary32) ux) ux))) maxCos) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)) maxCos) (/.f32 #s(literal 1 binary32) ux)) maxCos)
(*.f32 maxCos ux)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(*.f32 maxCos ux)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) ux)
(-.f32 #s(literal 1 binary32) ux)
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) ux)
(+.f32 #s(literal 1 binary32) ux)
(+.f32 #s(literal 1 binary32) ux)
#s(literal -1 binary32)
(-.f32 #s(literal -1 binary32) ux)
(fma.f32 ux ux (-.f32 #s(literal -1 binary32) ux))
(fma.f32 (-.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) ux #s(literal -1 binary32))
(*.f32 ux ux)
(*.f32 (fma.f32 ux ux ux) ux)
(*.f32 (fma.f32 ux ux ux) ux)
(*.f32 (fma.f32 ux ux ux) ux)
#s(literal 1 binary32)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(-.f32 (/.f32 ux maxCos) ux)
(-.f32 (/.f32 ux maxCos) ux)
(-.f32 (/.f32 ux maxCos) ux)
(-.f32 (/.f32 ux maxCos) ux)
#s(literal 1 binary32)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
#s(literal 1 binary32)
(fma.f32 (-.f32 #s(literal 1 binary32) maxCos) ux #s(literal 1 binary32))
(fma.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) ux #s(literal 1 binary32))
(fma.f32 (fma.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux (-.f32 #s(literal 1 binary32) maxCos)) ux #s(literal 1 binary32))
#s(literal 1 binary32)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) ux)
(-.f32 #s(literal 1 binary32) ux)
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
#s(literal -1 binary32)
(fma.f32 #s(literal -2 binary32) ux #s(literal -1 binary32))
(fma.f32 (-.f32 #s(literal -2 binary32) ux) ux #s(literal -1 binary32))
(fma.f32 (-.f32 #s(literal -2 binary32) ux) ux #s(literal -1 binary32))
(neg.f32 ux)
(-.f32 #s(literal 1 binary32) ux)
(-.f32 #s(literal 1 binary32) ux)
(-.f32 #s(literal 1 binary32) ux)
ux
(+.f32 #s(literal 1 binary32) ux)
(+.f32 #s(literal 1 binary32) ux)
(+.f32 #s(literal 1 binary32) ux)
(pow.f32 ux #s(literal 3 binary32))
(*.f32 (fma.f32 ux ux ux) ux)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux) #s(literal 1 binary32)) (pow.f32 ux #s(literal 3 binary32)))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)) ux) #s(literal 1 binary32)) (pow.f32 ux #s(literal 3 binary32)))
(pow.f32 ux #s(literal 3 binary32))
(*.f32 (fma.f32 ux ux ux) ux)
(*.f32 (fma.f32 ux ux ux) ux)
(*.f32 (fma.f32 ux ux ux) ux)
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(-.f32 (/.f32 ux maxCos) ux)
(-.f32 (/.f32 ux maxCos) ux)
(-.f32 (/.f32 ux maxCos) ux)
(-.f32 (/.f32 ux maxCos) ux)
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))) ux)
(/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)
(/.f32 (-.f32 (+.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32))) ux) ux) (/.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)
(/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))) (pow.f32 ux #s(literal 3 binary32)))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32))) ux) ux))) ux)
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(neg.f32 ux)
(-.f32 #s(literal 1 binary32) ux)
(-.f32 #s(literal 1 binary32) ux)
(-.f32 #s(literal 1 binary32) ux)
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(*.f32 (neg.f32 ux) ux)
(*.f32 (neg.f32 ux) (fma.f32 (/.f32 #s(literal 2 binary32) ux) ux ux))
(.f32 (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) ux) ux)
(.f32 (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) ux) ux)
(neg.f32 ux)
(-.f32 #s(literal 1 binary32) ux)
(-.f32 #s(literal 1 binary32) ux)
(-.f32 #s(literal 1 binary32) ux)
ux
(+.f32 #s(literal 1 binary32) ux)
(+.f32 #s(literal 1 binary32) ux)
(+.f32 #s(literal 1 binary32) ux)
(pow.f32 ux #s(literal 3 binary32))
(*.f32 (fma.f32 ux ux ux) ux)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux) #s(literal 1 binary32)) (pow.f32 ux #s(literal 3 binary32)))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)) ux) #s(literal 1 binary32)) (pow.f32 ux #s(literal 3 binary32)))
(pow.f32 ux #s(literal 3 binary32))
(*.f32 (fma.f32 ux ux ux) ux)
(*.f32 (fma.f32 ux ux ux) ux)
(*.f32 (fma.f32 ux ux ux) ux)
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(-.f32 (/.f32 ux maxCos) ux)
(-.f32 (/.f32 ux maxCos) ux)
(-.f32 (/.f32 ux maxCos) ux)
(-.f32 (/.f32 ux maxCos) ux)
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))
(/.f32 (+.f32 (/.f32 (/.f32 #s(literal -1 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) maxCos))) ux)
(/.f32 (+.f32 (+.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32))) ux) ux) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos))) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) (neg.f32 ux))
(/.f32 (+.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32))) (/.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 4 binary32)) ux))) ux) (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) ux)) ux)
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(neg.f32 ux)
(-.f32 #s(literal 1 binary32) ux)
(-.f32 #s(literal 1 binary32) ux)
(-.f32 #s(literal 1 binary32) ux)
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(*.f32 (neg.f32 ux) ux)
(*.f32 (neg.f32 ux) (fma.f32 (/.f32 #s(literal 2 binary32) ux) ux ux))
(.f32 (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) ux) ux)
(.f32 (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) ux) ux)

rewrite235.0ms (3.7%)

Memory

15.6MiB live, 366.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	185
0	45	135
1	212	128
2	1642	116
0	9406	109

Stop Event

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

Counts

14 → 1 130

Calls

Call 1

Inputs
(/.f32 (-.f32 (.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))) (.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))
(*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))
(-.f32 (.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32)))
(.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))
(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)))
#s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos))
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(-.f32 (/.f32 ux maxCos) ux)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)))
#s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))) (.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))))
(*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))

Outputs
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eval223.0ms (3.5%)

Memory: -0.1MiB live, 322.7MiB allocated
Compiler: Compiled 48 121 to 4 109 computations (91.5% saved)

prune29.0ms (0.5%)

Memory

10.9MiB live, 98.7MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	1 388	2	1 390
Fresh	0	0	0
Picked	1	2	3
Done	0	4	4
Total	1 389	8	1 397

Accuracy

100.0%

Counts

1 397 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.5%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))))
✓	99.9%	(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
✓	99.9%	(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)))
▶	97.5%	(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos)))
✓	99.9%	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
▶	96.1%	#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))))
✓	97.5%	#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
✓	71.4%	#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))

Compiler

Compiled 115 to 87 computations (24.3% saved)

simplify169.0ms (2.7%)

Memory

-21.1MiB live, 169.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos))
cost-diff	0	(*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos)
cost-diff	0	#s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos))
cost-diff	0	(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos)))
cost-diff	64	(neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))
cost-diff	64	(.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))
cost-diff	96	(-.f32 (.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32)))
cost-diff	512	(/.f32 (-.f32 (.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	169
0	37	171
1	79	171
2	221	128
3	1044	127
4	3178	127
5	6891	127
0	8122	122

Stop Event

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

Calls

Call 1

Inputs
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))))
(/.f32 (-.f32 (.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))
(-.f32 (.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32)))
(.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))
(*.f32 ux ux)
ux
(neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))
(-.f32 (neg.f32 ux) #s(literal 1 binary32))
(neg.f32 ux)
#s(literal 1 binary32)
(+.f32 ux #s(literal 1 binary32))
(*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))
(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos)))
#s(literal 1 binary32)
#s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos))
(*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos)
#s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos))
(/.f32 ux maxCos)
ux
maxCos

Outputs
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux)))
(/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux))
(*.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 ux #s(literal -1 binary32)))
(*.f32 (fma.f32 ux ux ux) ux)
(*.f32 ux ux)
ux
(-.f32 ux #s(literal -1 binary32))
(-.f32 #s(literal -1 binary32) ux)
(neg.f32 ux)
#s(literal 1 binary32)
(-.f32 ux #s(literal -1 binary32))
(*.f32 (-.f32 ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux))
(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos)))
#s(literal 1 binary32)
#s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos))
(*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos)
#s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos))
(/.f32 ux maxCos)
ux
maxCos

localize117.0ms (1.9%)

Memory

-23.2MiB live, 103.2MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	#s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos))
accuracy	0.02734375	(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos)))
accuracy	0.15234375	(*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos)
accuracy	2.7159652452323875	#s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos))
accuracy	0.34375	(.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))
accuracy	0.40824130861065216	(/.f32 (-.f32 (.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))
accuracy	0.45150375976844204	(*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))
accuracy	0.8140655284561003	#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))))

Samples

61.0ms	246×	0	valid
2.0ms	10×	1	valid

Compiler

Compiled 283 to 51 computations (82% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 9.0ms (35.9% of total)

ival-sub: 7.0ms (27.9% of total)

ival-div: 4.0ms (15.9% of total)

ival-add: 2.0ms (8% of total)

ival-neg: 2.0ms (8% of total)

adjust: 1.0ms (4% of total)

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

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

exact: 0.0ms (0% of total)

series16.0ms (0.3%)

Memory

-7.3MiB live, 31.4MiB allocated

Counts

10 → 180

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (/.f32 (-.f32 (.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (-.f32 (.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos))) #<representation binary32>) () ())
#s(alt #<batchref> (patch #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos) #<representation binary32>) () ())
#s(alt #<batchref> (patch #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) #<representation binary32>) () ())
#s(alt #<batchref> (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) #<representation binary32>) () ())

Outputs
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf maxCos) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf maxCos) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf maxCos) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf maxCos) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf maxCos) (#s(alt #<batchref> (patch #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf maxCos) (#s(alt #<batchref> (patch #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf maxCos) (#s(alt #<batchref> (patch #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf maxCos) (#s(alt #<batchref> (patch #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf maxCos) (#s(alt #<batchref> (patch (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf maxCos) (#s(alt #<batchref> (patch (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf maxCos) (#s(alt #<batchref> (patch (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf maxCos) (#s(alt #<batchref> (patch (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf maxCos) (#s(alt #<batchref> (patch #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf maxCos) (#s(alt #<batchref> (patch #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf maxCos) (#s(alt #<batchref> (patch #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf maxCos) (#s(alt #<batchref> (patch #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf maxCos) (#s(alt #<batchref> (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf maxCos) (#s(alt #<batchref> (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf maxCos) (#s(alt #<batchref> (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf maxCos) (#s(alt #<batchref> (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf maxCos) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf maxCos) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf maxCos) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf maxCos) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf maxCos) (#s(alt #<batchref> (patch #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf maxCos) (#s(alt #<batchref> (patch #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf maxCos) (#s(alt #<batchref> (patch #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf maxCos) (#s(alt #<batchref> (patch #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos)) #<representation binary32>) () ())) ())
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#s(alt #<batchref> (taylor inf ux) (#s(alt #<batchref> (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf ux) (#s(alt #<batchref> (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf ux) (#s(alt #<batchref> (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf ux) (#s(alt #<batchref> (patch (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf ux) (#s(alt #<batchref> (patch (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf ux) (#s(alt #<batchref> (patch (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf ux) (#s(alt #<batchref> (patch (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (/.f32 (-.f32 (.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (/.f32 (-.f32 (.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (/.f32 (-.f32 (.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (/.f32 (-.f32 (.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (-.f32 (.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (-.f32 (.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (-.f32 (.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (-.f32 (.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	ux	@	inf	((/ (- (* (* ux ux) (neg (- (neg ux) 1))) (+ ux 1)) (* (- (neg ux) 1) (neg (- (neg ux) 1)))) (- (* (* ux ux) (neg (- (neg ux) 1))) (+ ux 1)) (* (* ux ux) (neg (- (neg ux) 1))) (neg (- (neg ux) 1)) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* (- (/ ux maxCos) ux) maxCos) (- (/ ux maxCos) ux) (+ (- 1 ux) (* ux maxCos)) (* (- (neg ux) 1) (neg (- (neg ux) 1))))
2.0ms	ux	@	-inf	((/ (- (* (* ux ux) (neg (- (neg ux) 1))) (+ ux 1)) (* (- (neg ux) 1) (neg (- (neg ux) 1)))) (- (* (* ux ux) (neg (- (neg ux) 1))) (+ ux 1)) (* (* ux ux) (neg (- (neg ux) 1))) (neg (- (neg ux) 1)) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* (- (/ ux maxCos) ux) maxCos) (- (/ ux maxCos) ux) (+ (- 1 ux) (* ux maxCos)) (* (- (neg ux) 1) (neg (- (neg ux) 1))))
1.0ms	ux	@	0	((/ (- (* (* ux ux) (neg (- (neg ux) 1))) (+ ux 1)) (* (- (neg ux) 1) (neg (- (neg ux) 1)))) (- (* (* ux ux) (neg (- (neg ux) 1))) (+ ux 1)) (* (* ux ux) (neg (- (neg ux) 1))) (neg (- (neg ux) 1)) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* (- (/ ux maxCos) ux) maxCos) (- (/ ux maxCos) ux) (+ (- 1 ux) (* ux maxCos)) (* (- (neg ux) 1) (neg (- (neg ux) 1))))
1.0ms	maxCos	@	-inf	((/ (- (* (* ux ux) (neg (- (neg ux) 1))) (+ ux 1)) (* (- (neg ux) 1) (neg (- (neg ux) 1)))) (- (* (* ux ux) (neg (- (neg ux) 1))) (+ ux 1)) (* (* ux ux) (neg (- (neg ux) 1))) (neg (- (neg ux) 1)) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* (- (/ ux maxCos) ux) maxCos) (- (/ ux maxCos) ux) (+ (- 1 ux) (* ux maxCos)) (* (- (neg ux) 1) (neg (- (neg ux) 1))))
0.0ms	maxCos	@	0	((/ (- (* (* ux ux) (neg (- (neg ux) 1))) (+ ux 1)) (* (- (neg ux) 1) (neg (- (neg ux) 1)))) (- (* (* ux ux) (neg (- (neg ux) 1))) (+ ux 1)) (* (* ux ux) (neg (- (neg ux) 1))) (neg (- (neg ux) 1)) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* (- (/ ux maxCos) ux) maxCos) (- (/ ux maxCos) ux) (+ (- 1 ux) (* ux maxCos)) (* (- (neg ux) 1) (neg (- (neg ux) 1))))

simplify191.0ms (3%)

Memory

5.0MiB live, 157.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	117	1009
1	341	959
2	933	946
3	3586	924
4	7440	924
0	8467	868

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 176

Calls

Call 1

Inputs
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
ux
(+ ux (* -1 (* maxCos ux)))
(+ ux (* -1 (* maxCos ux)))
(+ ux (* -1 (* maxCos ux)))
ux
(+ ux (* -1 (* maxCos ux)))
(+ ux (* -1 (* maxCos ux)))
(+ ux (* -1 (* maxCos ux)))
(/ ux maxCos)
(/ (+ ux (* -1 (* maxCos ux))) maxCos)
(/ (+ ux (* -1 (* maxCos ux))) maxCos)
(/ (+ ux (* -1 (* maxCos ux))) maxCos)
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* -1 (* maxCos ux))
(* maxCos (- (/ ux maxCos) ux))
(* maxCos (- (/ ux maxCos) ux))
(* maxCos (- (/ ux maxCos) ux))
(* -1 (* maxCos ux))
(* maxCos (+ (* -1 ux) (/ ux maxCos)))
(* maxCos (+ (* -1 ux) (/ ux maxCos)))
(* maxCos (+ (* -1 ux) (/ ux maxCos)))
(* -1 ux)
(- (/ ux maxCos) ux)
(- (/ ux maxCos) ux)
(- (/ ux maxCos) ux)
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos ux))
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(* -1 (* maxCos ux))
(* -1 (* maxCos (+ ux (* -1 (/ ux maxCos)))))
(* -1 (* maxCos (+ ux (* -1 (/ ux maxCos)))))
(* -1 (* maxCos (+ ux (* -1 (/ ux maxCos)))))
(* -1 ux)
(- (/ ux maxCos) ux)
(- (/ ux maxCos) ux)
(- (/ ux maxCos) ux)
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
1
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
-1
(- (* -1 ux) 1)
(- (* ux (- ux 1)) 1)
(- (* ux (- (* ux (+ 1 ux)) 1)) 1)
(pow ux 2)
(* (pow ux 2) (+ 1 ux))
(* (pow ux 2) (+ 1 ux))
(* (pow ux 2) (+ 1 ux))
1
(+ 1 ux)
(+ 1 ux)
(+ 1 ux)
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* maxCos (* ux (- (/ 1 maxCos) 1)))
(* maxCos (* ux (- (/ 1 maxCos) 1)))
(* maxCos (* ux (- (/ 1 maxCos) 1)))
(* maxCos (* ux (- (/ 1 maxCos) 1)))
(* ux (- (/ 1 maxCos) 1))
(* ux (- (/ 1 maxCos) 1))
(* ux (- (/ 1 maxCos) 1))
(* ux (- (/ 1 maxCos) 1))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
-1
(- (* -2 ux) 1)
(- (* ux (- (* -1 ux) 2)) 1)
(- (* ux (- (* -1 ux) 2)) 1)
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(pow ux 3)
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* (pow ux 3) (- (+ 1 (/ 1 ux)) (/ 1 (pow ux 2))))
(* (pow ux 3) (+ 1 (+ (* -1 (/ (+ 1 (/ 1 ux)) (pow ux 2))) (/ 1 ux))))
(pow ux 3)
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* (pow ux 3) (+ 1 (/ 1 ux)))
ux
(* ux (+ 1 (/ 1 ux)))
(* ux (+ 1 (/ 1 ux)))
(* ux (+ 1 (/ 1 ux)))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* maxCos (* ux (- (/ 1 maxCos) 1)))
(* maxCos (* ux (- (/ 1 maxCos) 1)))
(* maxCos (* ux (- (/ 1 maxCos) 1)))
(* maxCos (* ux (- (/ 1 maxCos) 1)))
(* ux (- (/ 1 maxCos) 1))
(* ux (- (/ 1 maxCos) 1))
(* ux (- (/ 1 maxCos) 1))
(* ux (- (/ 1 maxCos) 1))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 (pow ux 2))
(* -1 (* (pow ux 2) (+ 1 (* 2 (/ 1 ux)))))
(* (pow ux 2) (- (* -1 (/ (+ 2 (/ 1 ux)) ux)) 1))
(* (pow ux 2) (- (* -1 (/ (+ 2 (/ 1 ux)) ux)) 1))
(* -1 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(pow ux 3)
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* -1 (* (pow ux 3) (- (* -1 (/ (- 1 (/ 1 ux)) ux)) 1)))
(* -1 (* (pow ux 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 ux)) ux))) ux)) 1)))
(pow ux 3)
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* (pow ux 3) (+ 1 (/ 1 ux)))
ux
(* ux (+ 1 (/ 1 ux)))
(* ux (+ 1 (/ 1 ux)))
(* ux (+ 1 (/ 1 ux)))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* ux (+ 1 (* -1 maxCos)))
(* ux (+ 1 (* -1 maxCos)))
(* ux (+ 1 (* -1 maxCos)))
(* ux (+ 1 (* -1 maxCos)))
(* -1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
(* -1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
(* -1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
(* -1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
(* -1 (* ux (- 1 (/ 1 maxCos))))
(* -1 (* ux (- 1 (/ 1 maxCos))))
(* -1 (* ux (- 1 (/ 1 maxCos))))
(* -1 (* ux (- 1 (/ 1 maxCos))))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (pow ux 2))
(* -1 (* (pow ux 2) (+ 1 (* 2 (/ 1 ux)))))
(* (pow ux 2) (- (* -1 (/ (+ 2 (/ 1 ux)) ux)) 1))
(* (pow ux 2) (- (* -1 (/ (+ 2 (/ 1 ux)) ux)) 1))

Outputs
(-.f32 #s(literal 1 binary32) ux)
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
ux
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
ux
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(/.f32 ux maxCos)
(-.f32 (/.f32 ux maxCos) ux)
(-.f32 (/.f32 ux maxCos) ux)
(-.f32 (/.f32 ux maxCos) ux)
(-.f32 #s(literal 1 binary32) ux)
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(*.f32 maxCos ux)
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(*.f32 (neg.f32 maxCos) ux)
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 (neg.f32 maxCos) ux)
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(neg.f32 ux)
(-.f32 (/.f32 ux maxCos) ux)
(-.f32 (/.f32 ux maxCos) ux)
(-.f32 (/.f32 ux maxCos) ux)
(*.f32 maxCos ux)
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(*.f32 maxCos ux)
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(*.f32 (neg.f32 maxCos) ux)
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 (neg.f32 maxCos) ux)
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(neg.f32 ux)
(-.f32 (/.f32 ux maxCos) ux)
(-.f32 (/.f32 ux maxCos) ux)
(-.f32 (/.f32 ux maxCos) ux)
(*.f32 maxCos ux)
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) ux)
(-.f32 #s(literal 1 binary32) ux)
(-.f32 #s(literal 1 binary32) ux)
#s(literal -1 binary32)
(-.f32 #s(literal -1 binary32) ux)
(fma.f32 (-.f32 ux #s(literal 1 binary32)) ux #s(literal -1 binary32))
(*.f32 (-.f32 ux #s(literal -1 binary32)) (fma.f32 ux ux #s(literal -1 binary32)))
(*.f32 ux ux)
(*.f32 (fma.f32 ux ux ux) ux)
(*.f32 (fma.f32 ux ux ux) ux)
(*.f32 (fma.f32 ux ux ux) ux)
#s(literal 1 binary32)
(-.f32 ux #s(literal -1 binary32))
(-.f32 ux #s(literal -1 binary32))
(-.f32 ux #s(literal -1 binary32))
#s(literal 1 binary32)
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(-.f32 (/.f32 ux maxCos) ux)
(-.f32 (/.f32 ux maxCos) ux)
(-.f32 (/.f32 ux maxCos) ux)
(-.f32 (/.f32 ux maxCos) ux)
#s(literal 1 binary32)
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
#s(literal -1 binary32)
(fma.f32 #s(literal -2 binary32) ux #s(literal -1 binary32))
(fma.f32 (-.f32 #s(literal -2 binary32) ux) ux #s(literal -1 binary32))
(fma.f32 (-.f32 #s(literal -2 binary32) ux) ux #s(literal -1 binary32))
(neg.f32 ux)
(-.f32 #s(literal 1 binary32) ux)
(-.f32 #s(literal 1 binary32) ux)
(-.f32 #s(literal 1 binary32) ux)
(pow.f32 ux #s(literal 3 binary32))
(*.f32 (fma.f32 ux ux ux) ux)
(-.f32 (*.f32 (fma.f32 ux ux ux) ux) ux)
(*.f32 (-.f32 ux #s(literal -1 binary32)) (fma.f32 ux ux #s(literal -1 binary32)))
(pow.f32 ux #s(literal 3 binary32))
(*.f32 (fma.f32 ux ux ux) ux)
(*.f32 (fma.f32 ux ux ux) ux)
(*.f32 (fma.f32 ux ux ux) ux)
ux
(-.f32 ux #s(literal -1 binary32))
(-.f32 ux #s(literal -1 binary32))
(-.f32 ux #s(literal -1 binary32))
(-.f32 (*.f32 maxCos ux) ux)
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(-.f32 (/.f32 ux maxCos) ux)
(-.f32 (/.f32 ux maxCos) ux)
(-.f32 (/.f32 ux maxCos) ux)
(-.f32 (/.f32 ux maxCos) ux)
(-.f32 (*.f32 maxCos ux) ux)
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(*.f32 (neg.f32 ux) ux)
(*.f32 (-.f32 #s(literal -2 binary32) ux) ux)
(-.f32 (.f32 (-.f32 (/.f32 #s(literal -1 binary32) ux) #s(literal 2 binary32)) ux) (.f32 ux ux))
(-.f32 (.f32 (-.f32 (/.f32 #s(literal -1 binary32) ux) #s(literal 2 binary32)) ux) (.f32 ux ux))
(neg.f32 ux)
(-.f32 #s(literal 1 binary32) ux)
(-.f32 #s(literal 1 binary32) ux)
(-.f32 #s(literal 1 binary32) ux)
(pow.f32 ux #s(literal 3 binary32))
(*.f32 (fma.f32 ux ux ux) ux)
(-.f32 (*.f32 (fma.f32 ux ux ux) ux) ux)
(*.f32 (-.f32 ux #s(literal -1 binary32)) (fma.f32 ux ux #s(literal -1 binary32)))
(pow.f32 ux #s(literal 3 binary32))
(*.f32 (fma.f32 ux ux ux) ux)
(*.f32 (fma.f32 ux ux ux) ux)
(*.f32 (fma.f32 ux ux ux) ux)
ux
(-.f32 ux #s(literal -1 binary32))
(-.f32 ux #s(literal -1 binary32))
(-.f32 ux #s(literal -1 binary32))
(-.f32 (*.f32 maxCos ux) ux)
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(-.f32 (/.f32 ux maxCos) ux)
(-.f32 (/.f32 ux maxCos) ux)
(-.f32 (/.f32 ux maxCos) ux)
(-.f32 (/.f32 ux maxCos) ux)
(-.f32 (*.f32 maxCos ux) ux)
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(*.f32 (neg.f32 ux) ux)
(*.f32 (-.f32 #s(literal -2 binary32) ux) ux)
(-.f32 (.f32 (-.f32 (/.f32 #s(literal -1 binary32) ux) #s(literal 2 binary32)) ux) (.f32 ux ux))
(-.f32 (.f32 (-.f32 (/.f32 #s(literal -1 binary32) ux) #s(literal 2 binary32)) ux) (.f32 ux ux))

rewrite288.0ms (4.6%)

Memory

21.5MiB live, 249.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	149
0	37	130
1	182	124
2	1570	96
0	9272	91

Stop Event

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

Counts

10 → 649

Calls

Call 1

Inputs
(/.f32 (-.f32 (.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))
(-.f32 (.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32)))
(.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))
(neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos)))
#s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos))
(*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos)
#s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos))
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))))
(*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))

Outputs
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eval225.0ms (3.6%)

Memory: 12.2MiB live, 321.5MiB allocated
Compiler: Compiled 44 006 to 3 365 computations (92.4% saved)

prune32.0ms (0.5%)

Memory

-19.6MiB live, 100.1MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	1 071	1	1 072
Fresh	0	0	0
Picked	1	1	2
Done	0	6	6
Total	1 072	8	1 080

Accuracy

100.0%

Counts

1 080 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.5%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))))
✓	99.9%	(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
✓	99.9%	(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)))
✓	97.5%	(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos)))
✓	99.9%	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
	96.1%	#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (.f32 (.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))))
✓	97.5%	#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
✓	71.4%	#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))

Compiler

Compiled 317 to 145 computations (54.3% saved)

regimes18.0ms (0.3%)

Memory

8.0MiB live, 46.4MiB allocated

Counts

12 → 1

Calls

Call 1

Inputs
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos)))
(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(+.f32 (/.f32 (-.f32 (.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (.f32 ux maxCos))
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (.f32 (.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))))
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))))
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (.f32 (.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))) (.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))))

Outputs
(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)))

Calls

4 calls:

5.0ms	uy
4.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
4.0ms	ux
4.0ms	maxCos

Results

Accuracy	Segments	Branch
99.9%	1	`ux`
99.9%	1	`uy`
99.9%	1	`maxCos`
99.9%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`

Compiler

Compiled 10 to 16 computations (-60% saved)

regimes16.0ms (0.3%)

Memory

-1.7MiB live, 39.5MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos)))

Outputs
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))

Calls

4 calls:

8.0ms	uy
2.0ms	ux
2.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
2.0ms	maxCos

Results

Accuracy	Segments	Branch
99.9%	1	`ux`
99.9%	1	`uy`
99.9%	1	`maxCos`
99.9%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`

Compiler

Compiled 10 to 16 computations (-60% saved)

regimes9.0ms (0.1%)

Memory

2.6MiB live, 41.5MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))

Outputs
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))

Calls

4 calls:

3.0ms	uy
2.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
2.0ms	ux
2.0ms	maxCos

Results

Accuracy	Segments	Branch
99.9%	1	`ux`
99.9%	1	`uy`
99.9%	1	`maxCos`
99.9%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`

Compiler

Compiled 10 to 16 computations (-60% saved)

regimes9.0ms (0.1%)

Memory

-5.5MiB live, 33.2MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))

Outputs
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))

Calls

4 calls:

3.0ms	uy
2.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
2.0ms	ux
2.0ms	maxCos

Results

Accuracy	Segments	Branch
97.5%	1	`ux`
97.5%	1	`uy`
97.5%	1	`maxCos`
97.5%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`

Compiler

Compiled 10 to 16 computations (-60% saved)

regimes6.0ms (0.1%)

Memory

22.1MiB live, 22.1MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))

Outputs
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))

Calls

4 calls:

1.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
1.0ms	maxCos
1.0ms	ux
1.0ms	uy

Results

Accuracy	Segments	Branch
71.4%	1	`uy`
71.4%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
71.4%	1	`ux`
71.4%	1	`maxCos`

Compiler

Compiled 10 to 16 computations (-60% saved)

simplify32.0ms (0.5%)

Memory

-3.7MiB live, 75.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	49
1	40	49
2	62	49
3	87	49
4	122	49
5	169	49
6	224	49
7	281	49
8	330	49
9	343	49
10	347	49

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)))
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))

Outputs
(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)))
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))

soundness843.0ms (13.3%)

Memory

-35.8MiB live, 375.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	250
1	110	250
2	306	250
3	846	250
4	2111	250
5	3323	250
6	4315	250
7	5344	250
8	6772	250
9	7313	250
10	7650	250
11	7962	250
0	8013	232
0	215	2032
1	645	1994
2	1945	1951
0	9120	1842
0	6	13
0	9	13
1	42	13
2	343	13
3	5268	13
0	8968	12

Stop Event

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

Compiler

Compiled 104 to 63 computations (39.4% saved)

preprocess47.0ms (0.7%)

Memory: 25.7MiB live, 63.7MiB allocated
Remove: (abs uy)
Compiler: Compiled 172 to 102 computations (40.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	21	49
1	40	49
2	62	49
3	87	49
4	122	49
5	169	49
6	224	49
7	281	49
8	330	49
9	343	49
10	347	49

Iter	Nodes	Cost
0	21	49
1	40	49
2	62	49
3	87	49
4	122	49
5	169	49
6	224	49
7	281	49
8	330	49
9	343	49
10	347	49

start0.0ms (0%)

analyze101.0ms (1.6%)

sample1.0s (16.3%)

explain64.0ms (1%)

preprocess62.0ms (1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify18.0ms (0.3%)

localize16.0ms (0.2%)

series5.0ms (0.1%)

simplify154.0ms (2.4%)

rewrite180.0ms (2.9%)

eval55.0ms (0.9%)

prune281.0ms (4.5%)

simplify248.0ms (3.9%)

localize93.0ms (1.5%)

series21.0ms (0.3%)

simplify184.0ms (2.9%)

rewrite311.0ms (4.9%)

eval330.0ms (5.2%)

prune89.0ms (1.4%)

simplify207.0ms (3.3%)

localize130.0ms (2%)

series46.0ms (0.7%)

simplify189.0ms (3%)

rewrite235.0ms (3.7%)

eval223.0ms (3.5%)

prune29.0ms (0.5%)

simplify169.0ms (2.7%)

localize117.0ms (1.9%)

series16.0ms (0.3%)

simplify191.0ms (3%)

rewrite288.0ms (4.6%)

eval225.0ms (3.6%)

prune32.0ms (0.5%)

regimes18.0ms (0.3%)

regimes16.0ms (0.3%)

regimes9.0ms (0.1%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

simplify32.0ms (0.5%)

soundness843.0ms (13.3%)

preprocess47.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	21	49
1	40	49
2	62	49
3	87	49
4	122	49
5	169	49
6	224	49
7	281	49
8	330	49
9	343	49
10	347	49