Metrics for UniformSampleCone, z

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze125.0ms (3.2%)

Memory

-8.6MiB live, 107.3MiB 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 (25.5%)

Memory

52.5MiB live, 1 341.8MiB allocated

Samples

675.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 460.0ms

const: 148.0ms (32.2% of total)

ival-<=: 118.0ms (25.6% of total)

ival-sub: 58.0ms (12.6% of total)

ival-mult: 52.0ms (11.3% of total)

ival-add: 37.0ms (8% of total)

ival-and: 35.0ms (7.6% of total)

exact: 8.0ms (1.7% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain58.0ms (1.5%)

Memory

13.7MiB live, 89.4MiB 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

23.0ms

512×

valid

Compiler

Compiled 59 to 32 computations (45.8% saved)

Precisions

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

ival-mult: 3.0ms (33.1% of total)

ival-sub: 2.0ms (22% of total)

ival-add: 2.0ms (22% of total)

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

exact: 0.0ms (0% of total)

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

preprocess60.0ms (1.5%)

Memory

13.7MiB live, 50.7MiB 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
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB 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)

simplify22.0ms (0.6%)

Memory

-19.9MiB live, 20.6MiB 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
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
ux
(*.f32 ux maxCos)
(*.f32 maxCos ux)
maxCos

localize15.0ms (0.4%)

Memory

22.9MiB live, 22.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(-.f32 #s(literal 1 binary32) ux)
accuracy	0	(*.f32 ux maxCos)
accuracy	0.0234375	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))

Samples

10.0ms

256×

valid

Compiler

Compiled 34 to 16 computations (52.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-sub: 1.0ms (23.2% of total)

ival-add: 1.0ms (23.2% of total)

ival-mult: 1.0ms (23.2% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated

Counts

3 → 60

Calls

Call 1

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

Inputs

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

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

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

Outputs
#s(alt (- 1 ux) (taylor 0 maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor 0 maxCos) (#s(alt (.f32 ux maxCos) (patch (.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor 0 maxCos) (#s(alt (.f32 ux maxCos) (patch (.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor 0 maxCos) (#s(alt (.f32 ux maxCos) (patch (.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor 0 maxCos) (#s(alt (.f32 ux maxCos) (patch (.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (.f32 ux maxCos) (patch (.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (.f32 ux maxCos) (patch (.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (.f32 ux maxCos) (patch (.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (.f32 ux maxCos) (patch (.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (.f32 ux maxCos) (patch (.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (.f32 ux maxCos) (patch (.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (.f32 ux maxCos) (patch (.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (.f32 ux maxCos) (patch (.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* ux (- maxCos 1))) (taylor 0 ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* ux (- maxCos 1))) (taylor 0 ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* ux (- maxCos 1))) (taylor 0 ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 ux) (#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 ux)) (taylor 0 ux) (#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 ux)) (taylor 0 ux) (#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 ux)) (taylor 0 ux) (#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor 0 ux) (#s(alt (.f32 ux maxCos) (patch (.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor 0 ux) (#s(alt (.f32 ux maxCos) (patch (.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor 0 ux) (#s(alt (.f32 ux maxCos) (patch (.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor 0 ux) (#s(alt (.f32 ux maxCos) (patch (.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* ux (- maxCos 1)) (taylor inf ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 ux) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (* ux (- (/ 1 ux) 1)) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (* ux (- (/ 1 ux) 1)) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (* ux (- (/ 1 ux) 1)) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf ux) (#s(alt (.f32 ux maxCos) (patch (.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf ux) (#s(alt (.f32 ux maxCos) (patch (.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf ux) (#s(alt (.f32 ux maxCos) (patch (.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf ux) (#s(alt (.f32 ux maxCos) (patch (.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ 1 (* -1 maxCos)))) (taylor -inf ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 ux) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- 1 (/ 1 ux)))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- 1 (/ 1 ux)))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- 1 (/ 1 ux)))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf ux) (#s(alt (.f32 ux maxCos) (patch (.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf ux) (#s(alt (.f32 ux maxCos) (patch (.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf ux) (#s(alt (.f32 ux maxCos) (patch (.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf ux) (#s(alt (.f32 ux maxCos) (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))
0.0ms	maxCos	@	0	((+ (- 1 ux) (* ux maxCos)) (- 1 ux) (* ux maxCos))
0.0ms	maxCos	@	inf	((+ (- 1 ux) (* ux maxCos)) (- 1 ux) (* ux maxCos))

simplify154.0ms (3.9%)

Memory

1.5MiB live, 75.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	250
1	110	250
2	306	250
3	848	250
4	2091	250
5	3292	250
6	4316	250
7	5345	250
8	6781	250
9	7325	250
10	7658	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
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* ux (- maxCos 1))
(-.f32 (*.f32 maxCos ux) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 ux)
(neg.f32 ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* -1 (* ux (+ 1 (* -1 maxCos))))
(-.f32 (*.f32 maxCos ux) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)

rewrite169.0ms (4.3%)

Memory

16.6MiB live, 201.7MiB 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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eval52.0ms (1.3%)

Memory: -13.9MiB live, 69.6MiB allocated
Compiler: Compiled 6 295 to 781 computations (87.6% saved)

prune7.0ms (0.2%)

Memory

-15.4MiB live, 23.3MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	366	5	371
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	367	5	372

Accuracy

100.0%

Counts

372 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.3%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
▶	100.0%	(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
▶	97.6%	#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
▶	9.4%	#s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 maxCos ux))
▶	71.5%	#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))

Compiler

Compiled 54 to 62 computations (-14.8% saved)

simplify22.0ms (0.6%)

Memory

26.2MiB live, 26.2MiB 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	(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 maxCos ux)
cost-diff	0	#s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 maxCos 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	16	90
0	23	82
1	45	82
2	85	82
3	179	82
4	330	82
5	500	82
6	647	82
7	702	82
8	708	82
9	711	82
10	712	82
0	712	82

Stop Event

1×	iter limit
1×	saturated
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
#s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 maxCos ux))
(*.f32 maxCos ux)
maxCos
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)

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

localize39.0ms (1%)

Memory

1.4MiB live, 73.7MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(-.f32 #s(literal 1 binary32) ux)
accuracy	0.16015625	(/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
accuracy	0.46484375	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
accuracy	0.7802592860235837	(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
accuracy	0	(*.f32 maxCos ux)
accuracy	28.98143973546467	#s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 maxCos ux))
accuracy	0	(-.f32 #s(literal 1 binary32) ux)
accuracy	0.7802592860235837	#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
accuracy	9.121931611863504	#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
accuracy	0	(*.f32 maxCos ux)
accuracy	0.00390625	(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
accuracy	0.03956751178494128	(-.f32 ux (*.f32 maxCos ux))

Samples

30.0ms

256×

valid

Compiler

Compiled 154 to 29 computations (81.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-add: 7.0ms (40.4% of total)

ival-sub: 3.0ms (17.3% of total)

ival-div: 3.0ms (17.3% of total)

ival-mult: 3.0ms (17.3% of total)

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

exact: 0.0ms (0% of total)

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

series270.0ms (6.8%)

Memory

-30.8MiB live, 21.7MiB allocated

Counts

10 → 228

Calls

Call 1

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

Outputs
#s(alt (- 1 ux) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt ux (taylor 0 maxCos) (#s(alt (-.f32 ux (.f32 maxCos ux)) (patch (-.f32 ux (.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (+ ux (* -1 (* maxCos ux))) (taylor 0 maxCos) (#s(alt (-.f32 ux (.f32 maxCos ux)) (patch (-.f32 ux (.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (+ ux (* -1 (* maxCos ux))) (taylor 0 maxCos) (#s(alt (-.f32 ux (.f32 maxCos ux)) (patch (-.f32 ux (.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (+ ux (* -1 (* maxCos ux))) (taylor 0 maxCos) (#s(alt (-.f32 ux (.f32 maxCos ux)) (patch (-.f32 ux (.f32 maxCos ux)) #<representation binary32>) () ())) ())
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#s(alt (/ (- (+ (/ 1 ux) (/ 1 (* maxCos ux))) (/ 1 (* maxCos (pow ux 2)))) maxCos) (taylor inf maxCos) (#s(alt (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (patch (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
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#s(alt (* ux (- maxCos 1)) (taylor inf ux) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (.f32 maxCos ux)) (patch #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (.f32 maxCos ux)) (patch #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (.f32 maxCos ux)) (patch #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (.f32 maxCos ux)) (patch #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* ux (- maxCos 1)) (taylor inf ux) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (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 (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (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 (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (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 (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (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 (/ 1 (* ux (- maxCos 1))) (taylor inf ux) (#s(alt (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (patch (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (/ (- (/ 1 (- maxCos 1)) (/ 1 (* ux (pow (- maxCos 1) 2)))) ux) (taylor inf ux) (#s(alt (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (patch (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (/ (- (+ (/ 1 (* (pow ux 2) (pow (- maxCos 1) 3))) (/ 1 (- maxCos 1))) (/ 1 (* ux (pow (- maxCos 1) 2)))) ux) (taylor inf ux) (#s(alt (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (patch (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (/ (- (+ (/ 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) (taylor inf ux) (#s(alt (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (patch (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* ux (- maxCos 1)) (taylor inf ux) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ 1 (* -1 maxCos)))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ 1 (* -1 maxCos))) (taylor -inf ux) (#s(alt (-.f32 ux (.f32 maxCos ux)) (patch (-.f32 ux (.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* ux (+ 1 (* -1 maxCos))) (taylor -inf ux) (#s(alt (-.f32 ux (.f32 maxCos ux)) (patch (-.f32 ux (.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* ux (+ 1 (* -1 maxCos))) (taylor -inf ux) (#s(alt (-.f32 ux (.f32 maxCos ux)) (patch (-.f32 ux (.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* ux (+ 1 (* -1 maxCos))) (taylor -inf ux) (#s(alt (-.f32 ux (.f32 maxCos ux)) (patch (-.f32 ux (.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf ux) (#s(alt (.f32 maxCos ux) (patch (.f32 maxCos ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf ux) (#s(alt (.f32 maxCos ux) (patch (.f32 maxCos ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf ux) (#s(alt (.f32 maxCos ux) (patch (.f32 maxCos ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf ux) (#s(alt (.f32 maxCos ux) (patch (.f32 maxCos ux) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ 1 (* -1 maxCos)))) (taylor -inf ux) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ 1 (* -1 maxCos)))) (taylor -inf ux) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 ux) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- 1 (/ 1 ux)))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- 1 (/ 1 ux)))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- 1 (/ 1 ux)))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ 1 (* -1 maxCos)))) (taylor -inf ux) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (.f32 maxCos ux)) (patch #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (.f32 maxCos ux)) (patch #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (.f32 maxCos ux)) (patch #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (.f32 maxCos ux)) (patch #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ 1 (* -1 maxCos)))) (taylor -inf ux) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (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 (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (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 (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (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 (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (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 (/ -1 (* ux (+ 1 (* -1 maxCos)))) (taylor -inf ux) (#s(alt (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (patch (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (+ (/ 1 (* ux (pow (+ 1 (* -1 maxCos)) 2))) (/ 1 (+ 1 (* -1 maxCos)))) ux)) (taylor -inf ux) (#s(alt (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (patch (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (+ (/ 1 (* ux (pow (+ 1 (* -1 maxCos)) 2))) (+ (/ 1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 3))) (/ 1 (+ 1 (* -1 maxCos))))) ux)) (taylor -inf ux) (#s(alt (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (patch (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* -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)) (taylor -inf ux) (#s(alt (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (patch (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ 1 (* -1 maxCos)))) (taylor -inf ux) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())

Calls

6 calls:

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

simplify204.0ms (5.1%)

Memory

20.1MiB live, 211.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	193	1779
1	571	1748
2	1743	1715
3	7815	1715
0	9252	1631

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 227

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 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)
(* 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)))
(* 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)
(* -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)))))
(* 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)))))
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 (- 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)))
(* 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))
(* 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 (+ 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 (* 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))))

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

rewrite223.0ms (5.6%)

Memory

-12.4MiB live, 287.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	73
0	23	65
1	117	65
2	876	65
0	8691	65

Stop Event

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

Counts

10 → 858

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

Outputs
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eval133.0ms (3.4%)

Memory: 15.7MiB live, 202.6MiB allocated
Compiler: Compiled 23 241 to 1 922 computations (91.7% saved)

prune112.0ms (2.8%)

Memory

-31.7MiB live, 55.8MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	1 176	1	1 177
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	1 177	5	1 182

Accuracy

100.0%

Counts

1 182 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.3%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))))
✓	100.0%	(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
✓	97.6%	#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
✓	9.4%	#s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 maxCos ux))
✓	71.5%	#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))

Compiler

Compiled 25 to 31 computations (-24% saved)

simplify15.0ms (0.4%)

Memory

16.5MiB live, 16.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 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))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	44
0	13	40
1	23	40
2	36	40
3	63	40
4	104	40
5	202	40
6	361	40
7	458	40
8	486	40
9	486	40
0	486	37

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.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
(/.f32 #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))
#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

localize65.0ms (1.6%)

Memory

-2.2MiB live, 33.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f32 #s(literal 1 binary32) ux)
accuracy	0.16015625	(/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)))
accuracy	0.46484375	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))))
accuracy	0.7802592860235837	#s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))

Samples

58.0ms

256×

valid

Compiler

Compiled 57 to 19 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-add: 45.0ms (87.4% of total)

ival-div: 3.0ms (5.8% of total)

ival-mult: 2.0ms (3.9% of total)

ival-sub: 1.0ms (1.9% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB allocated

Counts

4 → 84

Calls

Call 1

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

Outputs
#s(alt (- 1 ux) (taylor 0 maxCos) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)))) (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 (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)))) (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 (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)))) (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 (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)))) (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 (/ 1 (- 1 ux)) (taylor 0 maxCos) (#s(alt (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) (patch (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (/ (* maxCos ux) (pow (- 1 ux) 2))) (/ 1 (- 1 ux))) (taylor 0 maxCos) (#s(alt (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) (patch (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (- (/ (* maxCos (pow ux 2)) (pow (- 1 ux) 3)) (/ ux (pow (- 1 ux) 2)))) (/ 1 (- 1 ux))) (taylor 0 maxCos) (#s(alt (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) (patch (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (+ (* 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))) (taylor 0 maxCos) (#s(alt (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) (patch (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (- 1 ux) (taylor 0 maxCos) (#s(alt #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)))) (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>) () ())) ())
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#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)))) (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>) () ())) ())
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#s(alt (/ (- (+ (/ 1 ux) (/ 1 (* maxCos ux))) (/ 1 (* maxCos (pow ux 2)))) maxCos) (taylor inf maxCos) (#s(alt (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) (patch (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (* (- 1 ux) (- (/ 1 ux) (/ 1 (pow ux 2)))) (* (pow maxCos 2) ux))) (+ (/ 1 ux) (/ 1 (* maxCos ux)))) (/ 1 (* maxCos (pow ux 2)))) maxCos) (taylor inf maxCos) (#s(alt (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) (patch (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (/ (- (+ (/ 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) (taylor inf maxCos) (#s(alt (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) (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 (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
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#s(alt (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (- 1 ux) (- (/ 1 ux) (/ 1 (pow ux 2)))) (* maxCos ux))) (/ 1 ux)) (/ 1 (pow ux 2))) maxCos)) (/ 1 ux)) maxCos)) (taylor -inf maxCos) (#s(alt (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) (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 (+ 1 (* ux (- (+ 1 (* ux (- (* ux (* (- 1 maxCos) (pow (- maxCos 1) 2))) (* (- 1 maxCos) (- maxCos 1))))) maxCos))) (taylor 0 ux) (#s(alt (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) (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 (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)))) (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 (/ 1 (* ux (- maxCos 1))) (taylor inf ux) (#s(alt (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) (patch (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (/ (- (/ 1 (- maxCos 1)) (/ 1 (* ux (pow (- maxCos 1) 2)))) ux) (taylor inf ux) (#s(alt (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) (patch (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (/ (- (+ (/ 1 (* (pow ux 2) (pow (- maxCos 1) 3))) (/ 1 (- maxCos 1))) (/ 1 (* ux (pow (- maxCos 1) 2)))) ux) (taylor inf ux) (#s(alt (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) (patch (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (/ (- (+ (/ 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) (taylor inf ux) (#s(alt (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) (patch (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* ux (- maxCos 1)) (taylor inf ux) (#s(alt #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
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#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 ux) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (* ux (- (/ 1 ux) 1)) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (* ux (- (/ 1 ux) 1)) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (* ux (- (/ 1 ux) 1)) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
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#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)))) (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 (/ -1 (* ux (+ 1 (* -1 maxCos)))) (taylor -inf ux) (#s(alt (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) (patch (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (+ (/ 1 (* ux (pow (+ 1 (* -1 maxCos)) 2))) (/ 1 (+ 1 (* -1 maxCos)))) ux)) (taylor -inf ux) (#s(alt (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) (patch (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (+ (/ 1 (* ux (pow (+ 1 (* -1 maxCos)) 2))) (+ (/ 1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 3))) (/ 1 (+ 1 (* -1 maxCos))))) ux)) (taylor -inf ux) (#s(alt (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) (patch (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* -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)) (taylor -inf ux) (#s(alt (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) (patch (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ 1 (* -1 maxCos)))) (taylor -inf ux) (#s(alt #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 ux) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- 1 (/ 1 ux)))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- 1 (/ 1 ux)))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- 1 (/ 1 ux)))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())

Calls

6 calls:

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

simplify189.0ms (4.8%)

Memory

-10.3MiB live, 143.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	185	934
1	546	920
2	1694	885
3	7005	885
0	8321	849

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

Inputs
(- 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)
(* 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)
(* -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)))))
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))
(* 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))
(* -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))))

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

rewrite184.0ms (4.6%)

Memory

3.3MiB live, 162.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	42
0	13	38
1	62	38
2	413	38
3	5405	38
0	8660	35

Stop Event

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

Counts

4 → 192

Calls

Call 1

Inputs
(/.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)

Outputs
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eval24.0ms (0.6%)

Memory: 16.7MiB live, 54.8MiB allocated
Compiler: Compiled 4 097 to 883 computations (78.4% saved)

prune6.0ms (0.1%)

Memory

-20.8MiB live, 18.0MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	276	0	276
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	276	5	281

Accuracy

100.0%

Counts

281 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.3%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))))
✓	100.0%	(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
✓	97.6%	#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
✓	9.4%	#s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 maxCos ux))
✓	71.5%	#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))

Compiler

Compiled 67 to 50 computations (25.4% saved)

regimes12.0ms (0.3%)

Memory

20.9MiB live, 20.9MiB allocated

Counts

7 → 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))
#s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 maxCos 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) (/.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))))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
100.0%	1	`ux`
100.0%	1	`uy`
100.0%	1	`maxCos`
100.0%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`

Compiler

Compiled 10 to 16 computations (-60% saved)

regimes12.0ms (0.3%)

Memory

-26.3MiB live, 21.1MiB allocated

Counts

4 → 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))
#s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 maxCos 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:

6.0ms	ux
2.0ms	uy
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)

regimes8.0ms (0.2%)

Memory

14.9MiB live, 14.9MiB 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))
#s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 maxCos ux))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
97.6%	1	`ux`
97.6%	1	`uy`
97.6%	1	`maxCos`
97.6%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`

Compiler

Compiled 10 to 16 computations (-60% saved)

regimes5.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB 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	uy
1.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
1.0ms	ux
1.0ms	maxCos

Results

Accuracy	Segments	Branch
71.5%	1	`ux`
71.5%	1	`uy`
71.5%	1	`maxCos`
71.5%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`

Compiler

Compiled 10 to 16 computations (-60% saved)

simplify26.0ms (0.7%)

Memory

0.6MiB live, 38.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	34
1	29	34
2	47	34
3	70	34
4	104	34
5	141	34
6	168	34
7	182	34
8	183	34

Stop Event

1×

saturated

Calls

Call 1

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

soundness666.0ms (16.8%)

Memory

-6.5MiB live, 216.5MiB 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
0	39	250
1	110	250
2	306	250
3	848	250
4	2091	250
5	3292	250
6	4316	250
7	5345	250
8	6781	250
9	7325	250
10	7658	250
11	7962	250
0	8013	232

Stop Event

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

Compiler

Compiled 45 to 32 computations (28.9% saved)

preprocess65.0ms (1.6%)

Memory: 20.6MiB live, 97.1MiB allocated
Remove: (abs uy)
Compiler: Compiled 96 to 78 computations (18.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	16	90
0	23	82
1	45	82
2	85	82
3	179	82
4	330	82
5	500	82
6	647	82
7	702	82
8	708	82
9	711	82
10	712	82
0	712	82

Iter	Nodes	Cost
0	10	44
0	13	40
1	23	40
2	36	40
3	63	40
4	104	40
5	202	40
6	361	40
7	458	40
8	486	40
9	486	40
0	486	37

Iter	Nodes	Cost
0	16	90
0	23	82
1	45	82
2	85	82
3	179	82
4	330	82
5	500	82
6	647	82
7	702	82
8	708	82
9	711	82
10	712	82
0	712	82

Iter	Nodes	Cost
0	10	44
0	13	40
1	23	40
2	36	40
3	63	40
4	104	40
5	202	40
6	361	40
7	458	40
8	486	40
9	486	40
0	486	37

start0.0ms (0%)

analyze125.0ms (3.2%)

sample1.0s (25.5%)

explain58.0ms (1.5%)

preprocess60.0ms (1.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify22.0ms (0.6%)

localize15.0ms (0.4%)

series4.0ms (0.1%)

simplify154.0ms (3.9%)

rewrite169.0ms (4.3%)

eval52.0ms (1.3%)

prune7.0ms (0.2%)

simplify22.0ms (0.6%)

localize39.0ms (1%)

series270.0ms (6.8%)

simplify204.0ms (5.1%)

rewrite223.0ms (5.6%)

eval133.0ms (3.4%)

prune112.0ms (2.8%)

simplify15.0ms (0.4%)

localize65.0ms (1.6%)

series4.0ms (0.1%)

simplify189.0ms (4.8%)

rewrite184.0ms (4.6%)

eval24.0ms (0.6%)

prune6.0ms (0.1%)

regimes12.0ms (0.3%)

regimes12.0ms (0.3%)

regimes8.0ms (0.2%)

regimes5.0ms (0.1%)

simplify26.0ms (0.7%)

soundness666.0ms (16.8%)

preprocess65.0ms (1.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	16	90
0	23	82
1	45	82
2	85	82
3	179	82
4	330	82
5	500	82
6	647	82
7	702	82
8	708	82
9	711	82
10	712	82
0	712	82

Iter	Nodes	Cost
0	10	44
0	13	40
1	23	40
2	36	40
3	63	40
4	104	40
5	202	40
6	361	40
7	458	40
8	486	40
9	486	40
0	486	37