Metrics for UniformSampleCone, z

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze86.0ms (3.4%)

Memory

8.2MiB live, 148.2MiB allocated; 13ms collecting garbage

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)

sample634.0ms (25.4%)

Memory

-34.0MiB live, 1 107.0MiB allocated; 71ms collecting garbage

Samples

411.0ms	8 185×	0	valid
5.0ms	71×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 200.0ms

ival-mult: 68.0ms (34% of total)

ival-sub: 50.0ms (25% of total)

ival-add: 43.0ms (21.5% of total)

const: 18.0ms (9% of total)

exact: 8.0ms (4% of total)

adjust: 4.0ms (2% of total)

ival-<=: 4.0ms (2% of total)

ival-and: 3.0ms (1.5% of total)

ival-assert: 2.0ms (1% of total)

Bogosity

explain59.0ms (2.4%)

Memory

24.9MiB live, 125.4MiB allocated; 1ms collecting garbage

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	506×	0	valid
0.0ms	6×	1	valid

Compiler

Compiled 43 to 25 computations (41.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-add: 3.0ms (30.8% of total)

ival-mult: 3.0ms (30.8% of total)

ival-sub: 3.0ms (30.8% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

preprocess165.0ms (6.6%)

Memory

7.5MiB live, 198.0MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	77
1	75	75
2	159	75
3	281	71
4	570	70
5	1718	70
6	5305	70
0	6	7
0	9	7
1	18	7
2	33	7
3	64	7
4	152	7
5	528	7
6	4374	7
0	8205	6

Stop Event

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

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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

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)

series5.0ms (0.2%)

Memory

9.9MiB live, 9.9MiB allocated; 0ms collecting garbage

Counts

6 → 19

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
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(hole binary32 1))
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(hole binary32 (+ 1 (* ux (- maxCos 1)))))
#s(approx (- 1 ux) #s(hole binary32 1))
#s(approx (- 1 ux) #s(hole binary32 (+ 1 (* -1 ux))))
#s(approx ux #s(hole binary32 ux))
#s(approx (* ux maxCos) #s(hole binary32 (* maxCos ux)))
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(hole binary32 (* ux (- maxCos 1))))
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(hole binary32 (* ux (- (+ maxCos (/ 1 ux)) 1))))
#s(approx (- 1 ux) #s(hole binary32 (* -1 ux)))
#s(approx (- 1 ux) #s(hole binary32 (* ux (- (/ 1 ux) 1))))
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(hole binary32 (* -1 (* ux (+ 1 (* -1 maxCos))))))
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(hole binary32 (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))))
#s(approx (- 1 ux) #s(hole binary32 (* -1 (* ux (- 1 (/ 1 ux))))))
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(hole binary32 (- 1 ux)))
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(hole binary32 (- (+ 1 (* maxCos ux)) ux)))
#s(approx maxCos #s(hole binary32 maxCos))
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(hole binary32 (* maxCos ux)))
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(hole binary32 (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))))
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(hole binary32 (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))))

Calls

9 calls:

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

rewrite181.0ms (7.3%)

Memory

-25.4MiB live, 266.5MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	245
0	67	233
1	328	229
2	2853	228
0	8915	212

Stop Event

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

Counts

25 → 123

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
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(hole binary32 1))
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(hole binary32 (+ 1 (* ux (- maxCos 1)))))
#s(approx (- 1 ux) #s(hole binary32 1))
#s(approx (- 1 ux) #s(hole binary32 (+ 1 (* -1 ux))))
#s(approx ux #s(hole binary32 ux))
#s(approx (* ux maxCos) #s(hole binary32 (* maxCos ux)))
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(hole binary32 (* ux (- maxCos 1))))
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(hole binary32 (* ux (- (+ maxCos (/ 1 ux)) 1))))
#s(approx (- 1 ux) #s(hole binary32 (* -1 ux)))
#s(approx (- 1 ux) #s(hole binary32 (* ux (- (/ 1 ux) 1))))
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(hole binary32 (* -1 (* ux (+ 1 (* -1 maxCos))))))
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(hole binary32 (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))))
#s(approx (- 1 ux) #s(hole binary32 (* -1 (* ux (- 1 (/ 1 ux))))))
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(hole binary32 (- 1 ux)))
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(hole binary32 (- (+ 1 (* maxCos ux)) ux)))
#s(approx maxCos #s(hole binary32 maxCos))
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(hole binary32 (* maxCos ux)))
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(hole binary32 (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))))
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(hole binary32 (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))))

Outputs
(/.f32 (-.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)) (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)) (-.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))
(/.f32 (-.f32 (.f32 (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 2 binary32)) (fma.f32 maxCos ux (+.f32 ux #s(literal 1 binary32)))) (.f32 (fma.f32 maxCos ux (+.f32 ux #s(literal 1 binary32))) (.f32 ux ux))) (.f32 (fma.f32 maxCos ux (+.f32 ux #s(literal 1 binary32))) (fma.f32 maxCos ux (+.f32 ux #s(literal 1 binary32)))))
(/.f32 (-.f32 (.f32 (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 3 binary32)) (fma.f32 ux (fma.f32 maxCos ux (+.f32 ux #s(literal 1 binary32))) (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (.f32 (fma.f32 ux (fma.f32 maxCos ux (+.f32 ux #s(literal 1 binary32))) (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 2 binary32))) (pow.f32 ux #s(literal 3 binary32)))) (*.f32 (fma.f32 ux (fma.f32 maxCos ux (+.f32 ux #s(literal 1 binary32))) (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 2 binary32))) (fma.f32 ux (fma.f32 maxCos ux (+.f32 ux #s(literal 1 binary32))) (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 2 binary32)))))
(/.f32 (-.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 maxCos ux))) (.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 maxCos ux)) (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)))) (.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 maxCos ux)) (-.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 maxCos ux))))
(/.f32 (-.f32 (.f32 #s(literal 2 binary32) (-.f32 maxCos #s(literal -1 binary32))) (.f32 #s(literal 2 binary32) (.f32 ux (-.f32 #s(literal 1 binary32) (.f32 maxCos maxCos))))) (*.f32 #s(literal 2 binary32) (-.f32 maxCos #s(literal -1 binary32))))
(/.f32 (-.f32 (.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (.f32 maxCos maxCos)) (neg.f32 maxCos))) (.f32 #s(literal 2 binary32) (.f32 ux (+.f32 (pow.f32 maxCos #s(literal 3 binary32)) #s(literal 1 binary32))))) (.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (.f32 maxCos maxCos)) (neg.f32 maxCos))))
(/.f32 (-.f32 (.f32 #s(literal 2 binary32) (+.f32 ux (.f32 maxCos ux))) (.f32 #s(literal 2 binary32) (-.f32 (.f32 ux ux) (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32))))) (.f32 #s(literal 2 binary32) (+.f32 ux (*.f32 maxCos ux))))
(/.f32 (-.f32 (.f32 #s(literal 2 binary32) (-.f32 ux (.f32 (neg.f32 maxCos) ux))) (.f32 #s(literal 2 binary32) (-.f32 (.f32 ux ux) (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32))))) (.f32 #s(literal 2 binary32) (-.f32 ux (*.f32 (neg.f32 maxCos) ux))))
(/.f32 (-.f32 (.f32 #s(literal 2 binary32) (fma.f32 ux ux (+.f32 (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)) (.f32 ux (.f32 maxCos ux))))) (.f32 #s(literal 2 binary32) (-.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32))))) (.f32 #s(literal 2 binary32) (fma.f32 ux ux (+.f32 (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)) (.f32 ux (.f32 maxCos ux))))))
(/.f32 (-.f32 (.f32 #s(literal 2 binary32) (fma.f32 ux ux (-.f32 (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)) (.f32 ux (.f32 (neg.f32 maxCos) ux))))) (.f32 #s(literal 2 binary32) (+.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32))))) (.f32 #s(literal 2 binary32) (fma.f32 ux ux (-.f32 (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)) (.f32 ux (.f32 (neg.f32 maxCos) ux))))))
(/.f32 (-.f32 (.f32 #s(literal 2 binary32) (-.f32 maxCos #s(literal -1 binary32))) (.f32 #s(literal 2 binary32) (.f32 (-.f32 #s(literal 1 binary32) (.f32 maxCos maxCos)) ux))) (*.f32 #s(literal 2 binary32) (-.f32 maxCos #s(literal -1 binary32))))
(/.f32 (-.f32 (.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (.f32 maxCos maxCos)) (neg.f32 maxCos))) (.f32 #s(literal 2 binary32) (.f32 (+.f32 (pow.f32 maxCos #s(literal 3 binary32)) #s(literal 1 binary32)) ux))) (.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (.f32 maxCos maxCos)) (neg.f32 maxCos))))
(/.f32 (-.f32 (.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal -1 binary32))) (.f32 #s(literal -1 binary32) (.f32 ux (-.f32 #s(literal 1 binary32) (.f32 maxCos maxCos))))) (*.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal -1 binary32))))
(/.f32 (-.f32 (.f32 #s(literal -1 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (.f32 maxCos maxCos)) (neg.f32 maxCos))) (.f32 #s(literal -1 binary32) (.f32 ux (+.f32 (pow.f32 maxCos #s(literal 3 binary32)) #s(literal 1 binary32))))) (.f32 #s(literal -1 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (.f32 maxCos maxCos)) (neg.f32 maxCos))))
(/.f32 (-.f32 (.f32 #s(literal -1 binary32) (+.f32 ux (.f32 maxCos ux))) (.f32 #s(literal -1 binary32) (-.f32 (.f32 ux ux) (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32))))) (.f32 #s(literal -1 binary32) (+.f32 ux (*.f32 maxCos ux))))
(/.f32 (-.f32 (.f32 #s(literal -1 binary32) (-.f32 ux (.f32 (neg.f32 maxCos) ux))) (.f32 #s(literal -1 binary32) (-.f32 (.f32 ux ux) (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32))))) (.f32 #s(literal -1 binary32) (-.f32 ux (*.f32 (neg.f32 maxCos) ux))))
(/.f32 (-.f32 (.f32 #s(literal -1 binary32) (fma.f32 ux ux (+.f32 (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)) (.f32 ux (.f32 maxCos ux))))) (.f32 #s(literal -1 binary32) (-.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32))))) (.f32 #s(literal -1 binary32) (fma.f32 ux ux (+.f32 (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)) (.f32 ux (.f32 maxCos ux))))))
(/.f32 (-.f32 (.f32 #s(literal -1 binary32) (fma.f32 ux ux (-.f32 (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)) (.f32 ux (.f32 (neg.f32 maxCos) ux))))) (.f32 #s(literal -1 binary32) (+.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32))))) (.f32 #s(literal -1 binary32) (fma.f32 ux ux (-.f32 (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)) (.f32 ux (.f32 (neg.f32 maxCos) ux))))))
(/.f32 (-.f32 (.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal -1 binary32))) (.f32 #s(literal -1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (.f32 maxCos maxCos)) ux))) (*.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal -1 binary32))))
(/.f32 (-.f32 (.f32 #s(literal -1 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (.f32 maxCos maxCos)) (neg.f32 maxCos))) (.f32 #s(literal -1 binary32) (.f32 (+.f32 (pow.f32 maxCos #s(literal 3 binary32)) #s(literal 1 binary32)) ux))) (.f32 #s(literal -1 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (.f32 maxCos maxCos)) (neg.f32 maxCos))))
(/.f32 (-.f32 (.f32 #s(literal 2 binary32) (-.f32 maxCos #s(literal -1 binary32))) (.f32 #s(literal 2 binary32) (.f32 (neg.f32 ux) (fma.f32 maxCos maxCos #s(literal -1 binary32))))) (.f32 #s(literal 2 binary32) (-.f32 maxCos #s(literal -1 binary32))))
(/.f32 (-.f32 (.f32 #s(literal 2 binary32) (fma.f32 maxCos maxCos (-.f32 maxCos #s(literal -1 binary32)))) (.f32 #s(literal 2 binary32) (.f32 (neg.f32 ux) (-.f32 (pow.f32 maxCos #s(literal 3 binary32)) #s(literal 1 binary32))))) (.f32 #s(literal 2 binary32) (fma.f32 maxCos maxCos (-.f32 maxCos #s(literal -1 binary32)))))
(/.f32 (-.f32 (.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal -1 binary32))) (.f32 #s(literal -1 binary32) (.f32 (neg.f32 ux) (fma.f32 maxCos maxCos #s(literal -1 binary32))))) (.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal -1 binary32))))
(/.f32 (-.f32 (.f32 #s(literal -1 binary32) (fma.f32 maxCos maxCos (-.f32 maxCos #s(literal -1 binary32)))) (.f32 #s(literal -1 binary32) (.f32 (neg.f32 ux) (-.f32 (pow.f32 maxCos #s(literal 3 binary32)) #s(literal 1 binary32))))) (.f32 #s(literal -1 binary32) (fma.f32 maxCos maxCos (-.f32 maxCos #s(literal -1 binary32)))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))
(/.f32 (-.f32 (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 1 binary32)))
(/.f32 (-.f32 (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 (.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (.f32 maxCos ux) ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (-.f32 (.f32 maxCos ux) ux)))
(/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32))) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (+.f32 (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)) (.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 (neg.f32 maxCos) ux)))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (.f32 (neg.f32 ux) (-.f32 maxCos #s(literal 1 binary32)))))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (.f32 maxCos ux) ux) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (-.f32 (.f32 maxCos ux) ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (-.f32 (.f32 maxCos ux) ux)))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 3 binary32)) #s(literal 1 binary32))) (neg.f32 (fma.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) (-.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 ux ux))) (neg.f32 (fma.f32 maxCos ux (+.f32 ux #s(literal 1 binary32)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 ux #s(literal 3 binary32)))) (neg.f32 (fma.f32 ux (fma.f32 maxCos ux (+.f32 ux #s(literal 1 binary32))) (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)))) (neg.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 maxCos ux))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 ux ux)) (fma.f32 maxCos ux (+.f32 ux #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))
(/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32))) (-.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 maxCos ux)))
(/.f32 (-.f32 (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 ux #s(literal 3 binary32))) (fma.f32 ux (fma.f32 maxCos ux (+.f32 ux #s(literal 1 binary32))) (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 2 binary32))))
(/.f32 (+.f32 (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))
(/.f32 (+.f32 (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) (-.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (+.f32 (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) (+.f32 (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux))))
(/.f32 (+.f32 (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) (fma.f32 (.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (/.f32 (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))
(-.f32 (/.f32 (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 2 binary32)) (fma.f32 maxCos ux (+.f32 ux #s(literal 1 binary32)))) (/.f32 (*.f32 ux ux) (fma.f32 maxCos ux (+.f32 ux #s(literal 1 binary32)))))
(-.f32 (/.f32 (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 3 binary32)) (fma.f32 ux (fma.f32 maxCos ux (+.f32 ux #s(literal 1 binary32))) (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 ux (fma.f32 maxCos ux (+.f32 ux #s(literal 1 binary32))) (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 2 binary32)))))
(-.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 maxCos ux))) (/.f32 (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(-.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal -1 binary32))
(-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (neg.f32 maxCos) ux))
(-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (-.f32 maxCos #s(literal 1 binary32))))
(fma.f32 (*.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))) ux #s(literal 1 binary32))
(fma.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (*.f32 maxCos ux) #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(fma.f32 ux (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(fma.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))
(fma.f32 #s(literal 1 binary32) (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux))
(+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) (-.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 3 binary32)) (fma.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) (-.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 1 binary32)) #s(literal 1 binary32))))
(+.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (fma.f32 (.f32 maxCos ux) (-.f32 (.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (/.f32 (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)) (fma.f32 (.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))
(+.f32 (-.f32 (*.f32 maxCos ux) ux) #s(literal 1 binary32))
(+.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 1 binary32))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))
(+.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux))
(+.f32 #s(literal 1 binary32) (-.f32 (*.f32 maxCos ux) ux))
(+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))
(*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))
(/.f32 (-.f32 (.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 (-.f32 (.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) (pow.f32 ux #s(literal 3 binary32)))) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32)))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (neg.f32 (+.f32 ux #s(literal 1 binary32))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (neg.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 ux #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (fma.f32 ux ux (+.f32 ux #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (/.f32 (pow.f32 ux #s(literal 3 binary32)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))))
(-.f32 (neg.f32 ux) #s(literal -1 binary32))
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) #s(literal -1 binary32)))
(-.f32 #s(literal 1 binary32) ux)
(fma.f32 (neg.f32 ux) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal -1 binary32) ux #s(literal 1 binary32))
(fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (neg.f32 ux) #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (/.f32 (pow.f32 ux #s(literal 3 binary32)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))))
(+.f32 (neg.f32 ux) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (neg.f32 ux))
(neg.f32 (+.f32 ux #s(literal -1 binary32)))
(neg.f32 (+.f32 #s(literal -1 binary32) ux))
#s(literal 1 binary32)
ux
(.f32 (.f32 maxCos ux) #s(literal 1 binary32))
(*.f32 maxCos ux)
(*.f32 ux maxCos)
(.f32 #s(literal 1 binary32) (.f32 maxCos ux))
(neg.f32 (*.f32 (neg.f32 maxCos) ux))
maxCos
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
#s(approx (- 1 ux) #s(literal 1 binary32))
#s(approx (- 1 ux) (-.f32 #s(literal 1 binary32) ux))
#s(approx ux ux)
#s(approx (* ux maxCos) (*.f32 maxCos ux))
#s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))
#s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (expm1.f32 (neg.f32 (log.f32 ux))) maxCos) ux))
#s(approx (- 1 ux) (neg.f32 ux))
#s(approx (- 1 ux) (*.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux))
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 #s(literal -1 binary32) ux (*.f32 maxCos ux)))
#s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)) (neg.f32 ux)))
#s(approx (- 1 ux) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) (neg.f32 ux)))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
#s(approx maxCos maxCos)
#s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 maxCos ux))
#s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))
#s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (/.f32 (+.f32 ux #s(literal -1 binary32)) maxCos) ux) (neg.f32 maxCos)))

eval12.0ms (0.5%)

Memory: -28.8MiB live, 25.5MiB allocated; 2ms collecting garbage
Compiler: Compiled 2 274 to 398 computations (82.5% saved)

prune82.0ms (3.3%)

Memory

14.6MiB live, 157.3MiB allocated; 2ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	122	2	124
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	122	3	125

Accuracy

100.0%

Counts

125 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
▶	99.0%	(/.f32 (-.f32 (.f32 #s(literal 2 binary32) (-.f32 ux (.f32 (neg.f32 maxCos) ux))) (.f32 #s(literal 2 binary32) (-.f32 (.f32 ux ux) (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32))))) (.f32 #s(literal 2 binary32) (-.f32 ux (*.f32 (neg.f32 maxCos) ux))))
✓	99.9%	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))

Status

Accuracy

Program

▶

99.9%

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

▶

99.0%

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

✓

99.9%

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

Compiler

Compiled 42 to 28 computations (33.3% saved)

series21.0ms (0.8%)

Memory

-9.7MiB live, 39.6MiB allocated; 2ms collecting garbage

Counts

17 → 71

Calls

Call 1

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

Outputs
#s(approx (/ (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) (* 2 (- ux (* (neg maxCos) ux)))) #s(hole binary32 1))
#s(approx (/ (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) (* 2 (- ux (* (neg maxCos) ux)))) #s(hole binary32 (+ 1 (* -1 (/ (* ux (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))))))
#s(approx (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) #s(hole binary32 (* 2 (* ux (- 1 (* -1 maxCos))))))
#s(approx (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) #s(hole binary32 (* ux (+ (* -2 (* ux (- 1 (pow maxCos 2)))) (* 2 (- 1 (* -1 maxCos)))))))
#s(approx (* 2 (- ux (* (neg maxCos) ux))) #s(hole binary32 (* 2 (* ux (- 1 (* -1 maxCos))))))
#s(approx (- ux (* (neg maxCos) ux)) #s(hole binary32 (* ux (- 1 (* -1 maxCos)))))
#s(approx ux #s(hole binary32 ux))
#s(approx (* (neg maxCos) ux) #s(hole binary32 (* -1 (* maxCos ux))))
#s(approx (* 2 (- (* ux ux) (pow (* maxCos ux) 2))) #s(hole binary32 (* 2 (* (pow ux 2) (- 1 (pow maxCos 2))))))
#s(approx (- (* ux ux) (pow (* maxCos ux) 2)) #s(hole binary32 (* (pow ux 2) (- 1 (pow maxCos 2)))))
#s(approx (* ux ux) #s(hole binary32 (pow ux 2)))
#s(approx (pow (* maxCos ux) 2) #s(hole binary32 (* (pow maxCos 2) (pow ux 2))))
#s(approx (* maxCos ux) #s(hole binary32 (* maxCos ux)))
#s(approx (+ (* (- maxCos 1) ux) 1) #s(hole binary32 1))
#s(approx (+ (* (- maxCos 1) ux) 1) #s(hole binary32 (+ 1 (* ux (- maxCos 1)))))
#s(approx (/ (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) (* 2 (- ux (* (neg maxCos) ux)))) #s(hole binary32 (* -1 (/ (* ux (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))))))
#s(approx (/ (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) (* 2 (- ux (* (neg maxCos) ux)))) #s(hole binary32 (* ux (+ (* -1 (/ (- 1 (pow maxCos 2)) (- 1 (* -1 maxCos)))) (/ 1 ux)))))
#s(approx (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) #s(hole binary32 (* -2 (* (pow ux 2) (- 1 (pow maxCos 2))))))
#s(approx (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) #s(hole binary32 (* (pow ux 2) (- (* 2 (/ (- 1 (* -1 maxCos)) ux)) (* 2 (- 1 (pow maxCos 2)))))))
#s(approx (+ (* (- maxCos 1) ux) 1) #s(hole binary32 (* ux (- maxCos 1))))
#s(approx (+ (* (- maxCos 1) ux) 1) #s(hole binary32 (* ux (- (+ maxCos (/ 1 ux)) 1))))
#s(approx (/ (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) (* 2 (- ux (* (neg maxCos) ux)))) #s(hole binary32 (* -1 (/ (* ux (- 1 (pow maxCos 2))) (+ 1 maxCos)))))
#s(approx (/ (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) (* 2 (- ux (* (neg maxCos) ux)))) #s(hole binary32 (* -1 (* ux (- (/ 1 (+ 1 maxCos)) (+ (/ 1 ux) (/ (pow maxCos 2) (+ 1 maxCos))))))))
#s(approx (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) #s(hole binary32 (* (pow ux 2) (- (* 2 (/ (+ 1 maxCos) ux)) (* 2 (- 1 (pow maxCos 2)))))))
#s(approx (* 2 (- ux (* (neg maxCos) ux))) #s(hole binary32 (* 2 (* ux (+ 1 maxCos)))))
#s(approx (- ux (* (neg maxCos) ux)) #s(hole binary32 (* ux (+ 1 maxCos))))
#s(approx (+ (* (- maxCos 1) ux) 1) #s(hole binary32 (* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))))
#s(approx (/ (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) (* 2 (- ux (* (neg maxCos) ux)))) #s(hole binary32 (* 1/2 (/ (- (* 2 ux) (* 2 (pow ux 2))) ux))))
#s(approx (/ (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) (* 2 (- ux (* (neg maxCos) ux)))) #s(hole binary32 (+ (* 1/2 (/ (- (* 2 ux) (* 2 (pow ux 2))) ux)) (* maxCos ux))))
#s(approx (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) #s(hole binary32 (- (* 2 ux) (* 2 (pow ux 2)))))
#s(approx (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) #s(hole binary32 (- (+ (* 2 ux) (* 2 (* maxCos ux))) (* 2 (pow ux 2)))))
#s(approx (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) #s(hole binary32 (- (+ (* 2 ux) (* maxCos (+ (* 2 ux) (* 2 (* maxCos (pow ux 2)))))) (* 2 (pow ux 2)))))
#s(approx (* 2 (- ux (* (neg maxCos) ux))) #s(hole binary32 (* 2 ux)))
#s(approx (* 2 (- ux (* (neg maxCos) ux))) #s(hole binary32 (+ (* 2 ux) (* 2 (* maxCos ux)))))
#s(approx (- ux (* (neg maxCos) ux)) #s(hole binary32 ux))
#s(approx (- ux (* (neg maxCos) ux)) #s(hole binary32 (+ ux (* maxCos ux))))
#s(approx (neg maxCos) #s(hole binary32 (* -1 maxCos)))
#s(approx maxCos #s(hole binary32 maxCos))
#s(approx (* 2 (- (* ux ux) (pow (* maxCos ux) 2))) #s(hole binary32 (* 2 (pow ux 2))))
#s(approx (* 2 (- (* ux ux) (pow (* maxCos ux) 2))) #s(hole binary32 (+ (* -2 (* (pow maxCos 2) (pow ux 2))) (* 2 (pow ux 2)))))
#s(approx (- (* ux ux) (pow (* maxCos ux) 2)) #s(hole binary32 (pow ux 2)))
#s(approx (- (* ux ux) (pow (* maxCos ux) 2)) #s(hole binary32 (+ (* -1 (* (pow maxCos 2) (pow ux 2))) (pow ux 2))))
#s(approx (+ (* (- maxCos 1) ux) 1) #s(hole binary32 (+ 1 (* -1 ux))))
#s(approx (+ (* (- maxCos 1) ux) 1) #s(hole binary32 (+ 1 (+ (* -1 ux) (* maxCos ux)))))
#s(approx (- maxCos 1) #s(hole binary32 -1))
#s(approx (- maxCos 1) #s(hole binary32 (- maxCos 1)))
#s(approx (/ (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) (* 2 (- ux (* (neg maxCos) ux)))) #s(hole binary32 (* maxCos ux)))
#s(approx (/ (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) (* 2 (- ux (* (neg maxCos) ux)))) #s(hole binary32 (* maxCos (+ ux (* 1/2 (/ (- 2 (* 2 ux)) maxCos))))))
#s(approx (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) #s(hole binary32 (* 2 (* (pow maxCos 2) (pow ux 2)))))
#s(approx (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) #s(hole binary32 (* (pow maxCos 2) (- (* 2 (/ ux maxCos)) (* -2 (pow ux 2))))))
#s(approx (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) #s(hole binary32 (* (pow maxCos 2) (- (+ (* 2 (/ ux maxCos)) (* 2 (/ ux (pow maxCos 2)))) (+ (* -2 (pow ux 2)) (* 2 (/ (pow ux 2) (pow maxCos 2))))))))
#s(approx (* 2 (- ux (* (neg maxCos) ux))) #s(hole binary32 (* 2 (* maxCos ux))))
#s(approx (* 2 (- ux (* (neg maxCos) ux))) #s(hole binary32 (* maxCos (+ (* 2 ux) (* 2 (/ ux maxCos))))))
#s(approx (- ux (* (neg maxCos) ux)) #s(hole binary32 (* maxCos ux)))
#s(approx (- ux (* (neg maxCos) ux)) #s(hole binary32 (* maxCos (- (/ ux maxCos) (* -1 ux)))))
#s(approx (* 2 (- (* ux ux) (pow (* maxCos ux) 2))) #s(hole binary32 (* -2 (* (pow maxCos 2) (pow ux 2)))))
#s(approx (* 2 (- (* ux ux) (pow (* maxCos ux) 2))) #s(hole binary32 (* (pow maxCos 2) (+ (* -2 (pow ux 2)) (* 2 (/ (pow ux 2) (pow maxCos 2)))))))
#s(approx (- (* ux ux) (pow (* maxCos ux) 2)) #s(hole binary32 (* -1 (* (pow maxCos 2) (pow ux 2)))))
#s(approx (- (* ux ux) (pow (* maxCos ux) 2)) #s(hole binary32 (* (pow maxCos 2) (- (/ (pow ux 2) (pow maxCos 2)) (pow ux 2)))))
#s(approx (+ (* (- maxCos 1) ux) 1) #s(hole binary32 (* maxCos ux)))
#s(approx (+ (* (- maxCos 1) ux) 1) #s(hole binary32 (* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))))
#s(approx (- maxCos 1) #s(hole binary32 maxCos))
#s(approx (- maxCos 1) #s(hole binary32 (* maxCos (- 1 (/ 1 maxCos)))))
#s(approx (/ (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) (* 2 (- ux (* (neg maxCos) ux)))) #s(hole binary32 (* -1 (* maxCos (+ (* -1 ux) (* -1/2 (/ (- 2 (* 2 ux)) maxCos)))))))
#s(approx (/ (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) (* 2 (- ux (* (neg maxCos) ux)))) #s(hole binary32 (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ (* -1/2 (/ (- (* -1 (/ (- (* 2 ux) (* 2 (pow ux 2))) ux)) (* -1 (- 2 (* 2 ux)))) maxCos)) (* 1/2 (- 2 (* 2 ux)))) maxCos)))))))
#s(approx (/ (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) (* 2 (- ux (* (neg maxCos) ux)))) #s(hole binary32 (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (/ (- (* 2 ux) (* 2 (pow ux 2))) ux)) (* -1 (- 2 (* 2 ux)))) maxCos)) (* 1/2 (- (* -1 (/ (- (* 2 ux) (* 2 (pow ux 2))) ux)) (* -1 (- 2 (* 2 ux)))))) maxCos)) (* 1/2 (- 2 (* 2 ux)))) maxCos)))))))
#s(approx (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) #s(hole binary32 (* (pow maxCos 2) (- (* -1 (/ (+ (* -2 ux) (* -1 (/ (- (* 2 ux) (* 2 (pow ux 2))) maxCos))) maxCos)) (* -2 (pow ux 2))))))
#s(approx (* 2 (- ux (* (neg maxCos) ux))) #s(hole binary32 (* -1 (* maxCos (+ (* -2 ux) (* -2 (/ ux maxCos)))))))
#s(approx (- ux (* (neg maxCos) ux)) #s(hole binary32 (* -1 (* maxCos (- (* -1 (/ ux maxCos)) ux)))))
#s(approx (+ (* (- maxCos 1) ux) 1) #s(hole binary32 (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))))
#s(approx (- maxCos 1) #s(hole binary32 (* -1 (* maxCos (- (/ 1 maxCos) 1)))))

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	maxCos	@	inf	((/ (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) (* 2 (- ux (* (neg maxCos) ux)))) (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) (* 2 (- ux (* (neg maxCos) ux))) 2 (- ux (* (neg maxCos) ux)) ux (* (neg maxCos) ux) (neg maxCos) maxCos (* 2 (- (* ux ux) (pow (* maxCos ux) 2))) (- (* ux ux) (pow (* maxCos ux) 2)) (* ux ux) (pow (* maxCos ux) 2) (* maxCos ux) (+ (* (- maxCos 1) ux) 1) (- maxCos 1) 1)
4.0ms	ux	@	-inf	((/ (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) (* 2 (- ux (* (neg maxCos) ux)))) (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) (* 2 (- ux (* (neg maxCos) ux))) 2 (- ux (* (neg maxCos) ux)) ux (* (neg maxCos) ux) (neg maxCos) maxCos (* 2 (- (* ux ux) (pow (* maxCos ux) 2))) (- (* ux ux) (pow (* maxCos ux) 2)) (* ux ux) (pow (* maxCos ux) 2) (* maxCos ux) (+ (* (- maxCos 1) ux) 1) (- maxCos 1) 1)
3.0ms	ux	@	0	((/ (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) (* 2 (- ux (* (neg maxCos) ux)))) (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) (* 2 (- ux (* (neg maxCos) ux))) 2 (- ux (* (neg maxCos) ux)) ux (* (neg maxCos) ux) (neg maxCos) maxCos (* 2 (- (* ux ux) (pow (* maxCos ux) 2))) (- (* ux ux) (pow (* maxCos ux) 2)) (* ux ux) (pow (* maxCos ux) 2) (* maxCos ux) (+ (* (- maxCos 1) ux) 1) (- maxCos 1) 1)
3.0ms	maxCos	@	-inf	((/ (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) (* 2 (- ux (* (neg maxCos) ux)))) (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) (* 2 (- ux (* (neg maxCos) ux))) 2 (- ux (* (neg maxCos) ux)) ux (* (neg maxCos) ux) (neg maxCos) maxCos (* 2 (- (* ux ux) (pow (* maxCos ux) 2))) (- (* ux ux) (pow (* maxCos ux) 2)) (* ux ux) (pow (* maxCos ux) 2) (* maxCos ux) (+ (* (- maxCos 1) ux) 1) (- maxCos 1) 1)
2.0ms	maxCos	@	0	((/ (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) (* 2 (- ux (* (neg maxCos) ux)))) (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) (* 2 (- ux (* (neg maxCos) ux))) 2 (- ux (* (neg maxCos) ux)) ux (* (neg maxCos) ux) (neg maxCos) maxCos (* 2 (- (* ux ux) (pow (* maxCos ux) 2))) (- (* ux ux) (pow (* maxCos ux) 2)) (* ux ux) (pow (* maxCos ux) 2) (* maxCos ux) (+ (* (- maxCos 1) ux) 1) (- maxCos 1) 1)

rewrite162.0ms (6.5%)

Memory

38.5MiB live, 274.0MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	266	1906
0	286	1701
1	1424	1613
0	8156	1534

Stop Event

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

Counts

88 → 270

Calls

Call 1

Inputs
(/.f32 (-.f32 (.f32 #s(literal 2 binary32) (-.f32 ux (.f32 (neg.f32 maxCos) ux))) (.f32 #s(literal 2 binary32) (-.f32 (.f32 ux ux) (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32))))) (.f32 #s(literal 2 binary32) (-.f32 ux (*.f32 (neg.f32 maxCos) ux))))
(-.f32 (.f32 #s(literal 2 binary32) (-.f32 ux (.f32 (neg.f32 maxCos) ux))) (.f32 #s(literal 2 binary32) (-.f32 (.f32 ux ux) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))))
(.f32 #s(literal 2 binary32) (-.f32 ux (.f32 (neg.f32 maxCos) ux)))
#s(literal 2 binary32)
(-.f32 ux (*.f32 (neg.f32 maxCos) ux))
ux
(*.f32 (neg.f32 maxCos) ux)
(neg.f32 maxCos)
maxCos
(.f32 #s(literal 2 binary32) (-.f32 (.f32 ux ux) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))
(-.f32 (.f32 ux ux) (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)))
(*.f32 ux ux)
(pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))
(*.f32 maxCos ux)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(-.f32 maxCos #s(literal 1 binary32))
#s(literal 1 binary32)
#s(approx (/ (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) (* 2 (- ux (* (neg maxCos) ux)))) #s(hole binary32 1))
#s(approx (/ (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) (* 2 (- ux (* (neg maxCos) ux)))) #s(hole binary32 (+ 1 (* -1 (/ (* ux (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))))))
#s(approx (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) #s(hole binary32 (* 2 (* ux (- 1 (* -1 maxCos))))))
#s(approx (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) #s(hole binary32 (* ux (+ (* -2 (* ux (- 1 (pow maxCos 2)))) (* 2 (- 1 (* -1 maxCos)))))))
#s(approx (* 2 (- ux (* (neg maxCos) ux))) #s(hole binary32 (* 2 (* ux (- 1 (* -1 maxCos))))))
#s(approx (- ux (* (neg maxCos) ux)) #s(hole binary32 (* ux (- 1 (* -1 maxCos)))))
#s(approx ux #s(hole binary32 ux))
#s(approx (* (neg maxCos) ux) #s(hole binary32 (* -1 (* maxCos ux))))
#s(approx (* 2 (- (* ux ux) (pow (* maxCos ux) 2))) #s(hole binary32 (* 2 (* (pow ux 2) (- 1 (pow maxCos 2))))))
#s(approx (- (* ux ux) (pow (* maxCos ux) 2)) #s(hole binary32 (* (pow ux 2) (- 1 (pow maxCos 2)))))
#s(approx (* ux ux) #s(hole binary32 (pow ux 2)))
#s(approx (pow (* maxCos ux) 2) #s(hole binary32 (* (pow maxCos 2) (pow ux 2))))
#s(approx (* maxCos ux) #s(hole binary32 (* maxCos ux)))
#s(approx (+ (* (- maxCos 1) ux) 1) #s(hole binary32 1))
#s(approx (+ (* (- maxCos 1) ux) 1) #s(hole binary32 (+ 1 (* ux (- maxCos 1)))))
#s(approx (/ (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) (* 2 (- ux (* (neg maxCos) ux)))) #s(hole binary32 (* -1 (/ (* ux (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))))))
#s(approx (/ (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) (* 2 (- ux (* (neg maxCos) ux)))) #s(hole binary32 (* ux (+ (* -1 (/ (- 1 (pow maxCos 2)) (- 1 (* -1 maxCos)))) (/ 1 ux)))))
#s(approx (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) #s(hole binary32 (* -2 (* (pow ux 2) (- 1 (pow maxCos 2))))))
#s(approx (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) #s(hole binary32 (* (pow ux 2) (- (* 2 (/ (- 1 (* -1 maxCos)) ux)) (* 2 (- 1 (pow maxCos 2)))))))
#s(approx (+ (* (- maxCos 1) ux) 1) #s(hole binary32 (* ux (- maxCos 1))))
#s(approx (+ (* (- maxCos 1) ux) 1) #s(hole binary32 (* ux (- (+ maxCos (/ 1 ux)) 1))))
#s(approx (/ (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) (* 2 (- ux (* (neg maxCos) ux)))) #s(hole binary32 (* -1 (/ (* ux (- 1 (pow maxCos 2))) (+ 1 maxCos)))))
#s(approx (/ (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) (* 2 (- ux (* (neg maxCos) ux)))) #s(hole binary32 (* -1 (* ux (- (/ 1 (+ 1 maxCos)) (+ (/ 1 ux) (/ (pow maxCos 2) (+ 1 maxCos))))))))
#s(approx (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) #s(hole binary32 (* (pow ux 2) (- (* 2 (/ (+ 1 maxCos) ux)) (* 2 (- 1 (pow maxCos 2)))))))
#s(approx (* 2 (- ux (* (neg maxCos) ux))) #s(hole binary32 (* 2 (* ux (+ 1 maxCos)))))
#s(approx (- ux (* (neg maxCos) ux)) #s(hole binary32 (* ux (+ 1 maxCos))))
#s(approx (+ (* (- maxCos 1) ux) 1) #s(hole binary32 (* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))))
#s(approx (/ (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) (* 2 (- ux (* (neg maxCos) ux)))) #s(hole binary32 (* 1/2 (/ (- (* 2 ux) (* 2 (pow ux 2))) ux))))
#s(approx (/ (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) (* 2 (- ux (* (neg maxCos) ux)))) #s(hole binary32 (+ (* 1/2 (/ (- (* 2 ux) (* 2 (pow ux 2))) ux)) (* maxCos ux))))
#s(approx (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) #s(hole binary32 (- (* 2 ux) (* 2 (pow ux 2)))))
#s(approx (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) #s(hole binary32 (- (+ (* 2 ux) (* 2 (* maxCos ux))) (* 2 (pow ux 2)))))
#s(approx (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) #s(hole binary32 (- (+ (* 2 ux) (* maxCos (+ (* 2 ux) (* 2 (* maxCos (pow ux 2)))))) (* 2 (pow ux 2)))))
#s(approx (* 2 (- ux (* (neg maxCos) ux))) #s(hole binary32 (* 2 ux)))
#s(approx (* 2 (- ux (* (neg maxCos) ux))) #s(hole binary32 (+ (* 2 ux) (* 2 (* maxCos ux)))))
#s(approx (- ux (* (neg maxCos) ux)) #s(hole binary32 ux))
#s(approx (- ux (* (neg maxCos) ux)) #s(hole binary32 (+ ux (* maxCos ux))))
#s(approx (neg maxCos) #s(hole binary32 (* -1 maxCos)))
#s(approx maxCos #s(hole binary32 maxCos))
#s(approx (* 2 (- (* ux ux) (pow (* maxCos ux) 2))) #s(hole binary32 (* 2 (pow ux 2))))
#s(approx (* 2 (- (* ux ux) (pow (* maxCos ux) 2))) #s(hole binary32 (+ (* -2 (* (pow maxCos 2) (pow ux 2))) (* 2 (pow ux 2)))))
#s(approx (- (* ux ux) (pow (* maxCos ux) 2)) #s(hole binary32 (pow ux 2)))
#s(approx (- (* ux ux) (pow (* maxCos ux) 2)) #s(hole binary32 (+ (* -1 (* (pow maxCos 2) (pow ux 2))) (pow ux 2))))
#s(approx (+ (* (- maxCos 1) ux) 1) #s(hole binary32 (+ 1 (* -1 ux))))
#s(approx (+ (* (- maxCos 1) ux) 1) #s(hole binary32 (+ 1 (+ (* -1 ux) (* maxCos ux)))))
#s(approx (- maxCos 1) #s(hole binary32 -1))
#s(approx (- maxCos 1) #s(hole binary32 (- maxCos 1)))
#s(approx (/ (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) (* 2 (- ux (* (neg maxCos) ux)))) #s(hole binary32 (* maxCos ux)))
#s(approx (/ (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) (* 2 (- ux (* (neg maxCos) ux)))) #s(hole binary32 (* maxCos (+ ux (* 1/2 (/ (- 2 (* 2 ux)) maxCos))))))
#s(approx (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) #s(hole binary32 (* 2 (* (pow maxCos 2) (pow ux 2)))))
#s(approx (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) #s(hole binary32 (* (pow maxCos 2) (- (* 2 (/ ux maxCos)) (* -2 (pow ux 2))))))
#s(approx (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) #s(hole binary32 (* (pow maxCos 2) (- (+ (* 2 (/ ux maxCos)) (* 2 (/ ux (pow maxCos 2)))) (+ (* -2 (pow ux 2)) (* 2 (/ (pow ux 2) (pow maxCos 2))))))))
#s(approx (* 2 (- ux (* (neg maxCos) ux))) #s(hole binary32 (* 2 (* maxCos ux))))
#s(approx (* 2 (- ux (* (neg maxCos) ux))) #s(hole binary32 (* maxCos (+ (* 2 ux) (* 2 (/ ux maxCos))))))
#s(approx (- ux (* (neg maxCos) ux)) #s(hole binary32 (* maxCos ux)))
#s(approx (- ux (* (neg maxCos) ux)) #s(hole binary32 (* maxCos (- (/ ux maxCos) (* -1 ux)))))
#s(approx (* 2 (- (* ux ux) (pow (* maxCos ux) 2))) #s(hole binary32 (* -2 (* (pow maxCos 2) (pow ux 2)))))
#s(approx (* 2 (- (* ux ux) (pow (* maxCos ux) 2))) #s(hole binary32 (* (pow maxCos 2) (+ (* -2 (pow ux 2)) (* 2 (/ (pow ux 2) (pow maxCos 2)))))))
#s(approx (- (* ux ux) (pow (* maxCos ux) 2)) #s(hole binary32 (* -1 (* (pow maxCos 2) (pow ux 2)))))
#s(approx (- (* ux ux) (pow (* maxCos ux) 2)) #s(hole binary32 (* (pow maxCos 2) (- (/ (pow ux 2) (pow maxCos 2)) (pow ux 2)))))
#s(approx (+ (* (- maxCos 1) ux) 1) #s(hole binary32 (* maxCos ux)))
#s(approx (+ (* (- maxCos 1) ux) 1) #s(hole binary32 (* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))))
#s(approx (- maxCos 1) #s(hole binary32 maxCos))
#s(approx (- maxCos 1) #s(hole binary32 (* maxCos (- 1 (/ 1 maxCos)))))
#s(approx (/ (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) (* 2 (- ux (* (neg maxCos) ux)))) #s(hole binary32 (* -1 (* maxCos (+ (* -1 ux) (* -1/2 (/ (- 2 (* 2 ux)) maxCos)))))))
#s(approx (/ (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) (* 2 (- ux (* (neg maxCos) ux)))) #s(hole binary32 (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ (* -1/2 (/ (- (* -1 (/ (- (* 2 ux) (* 2 (pow ux 2))) ux)) (* -1 (- 2 (* 2 ux)))) maxCos)) (* 1/2 (- 2 (* 2 ux)))) maxCos)))))))
#s(approx (/ (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) (* 2 (- ux (* (neg maxCos) ux)))) #s(hole binary32 (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (/ (- (* 2 ux) (* 2 (pow ux 2))) ux)) (* -1 (- 2 (* 2 ux)))) maxCos)) (* 1/2 (- (* -1 (/ (- (* 2 ux) (* 2 (pow ux 2))) ux)) (* -1 (- 2 (* 2 ux)))))) maxCos)) (* 1/2 (- 2 (* 2 ux)))) maxCos)))))))
#s(approx (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) #s(hole binary32 (* (pow maxCos 2) (- (* -1 (/ (+ (* -2 ux) (* -1 (/ (- (* 2 ux) (* 2 (pow ux 2))) maxCos))) maxCos)) (* -2 (pow ux 2))))))
#s(approx (* 2 (- ux (* (neg maxCos) ux))) #s(hole binary32 (* -1 (* maxCos (+ (* -2 ux) (* -2 (/ ux maxCos)))))))
#s(approx (- ux (* (neg maxCos) ux)) #s(hole binary32 (* -1 (* maxCos (- (* -1 (/ ux maxCos)) ux)))))
#s(approx (+ (* (- maxCos 1) ux) 1) #s(hole binary32 (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))))
#s(approx (- maxCos 1) #s(hole binary32 (* -1 (* maxCos (- (/ 1 maxCos) 1)))))

Outputs
(.f32 (/.f32 #s(literal 2 binary32) (.f32 ux #s(literal 2 binary32))) (/.f32 (-.f32 (fma.f32 maxCos ux ux) (-.f32 (.f32 ux ux) (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) maxCos)))
(.f32 (/.f32 #s(literal 2 binary32) (fma.f32 maxCos ux ux)) (/.f32 (-.f32 (fma.f32 maxCos ux ux) (-.f32 (.f32 ux ux) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))) #s(literal 2 binary32)))
(.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fma.f32 maxCos ux ux) (-.f32 (.f32 ux ux) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))) (fma.f32 maxCos ux ux)))
(/.f32 (-.f32 (.f32 (.f32 (/.f32 (fma.f32 maxCos ux ux) (fma.f32 maxCos ux ux)) #s(literal 1 binary32)) (.f32 (/.f32 (fma.f32 maxCos ux ux) (fma.f32 maxCos ux ux)) #s(literal 1 binary32))) (.f32 (.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) (.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)))) (fma.f32 (/.f32 (fma.f32 maxCos ux ux) (fma.f32 maxCos ux ux)) #s(literal 1 binary32) (.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32))))
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(*.f32 (fabs.f32 ux) (fabs.f32 ux))
(*.f32 (neg.f32 ux) (neg.f32 ux))
(*.f32 ux ux)
(/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal -2 binary32)))
(pow.f32 (exp.f32 (log.f32 ux)) #s(literal 2 binary32))
(pow.f32 (fabs.f32 ux) #s(literal 2 binary32))
(pow.f32 (neg.f32 ux) #s(literal 2 binary32))
(pow.f32 (*.f32 ux ux) #s(literal 1 binary32))
(pow.f32 ux #s(literal 2 binary32))
(fabs.f32 (*.f32 ux ux))
(+.f32 (cosh.f32 (.f32 (log.f32 ux) #s(literal 2 binary32))) (sinh.f32 (.f32 (log.f32 ux) #s(literal 2 binary32))))
(exp.f32 (*.f32 (log.f32 ux) #s(literal 2 binary32)))
(.f32 (neg.f32 (.f32 (neg.f32 maxCos) ux)) (neg.f32 (*.f32 (neg.f32 maxCos) ux)))
(.f32 (fabs.f32 (.f32 maxCos ux)) (fabs.f32 (*.f32 maxCos ux)))
(.f32 (fabs.f32 (.f32 (neg.f32 maxCos) ux)) (fabs.f32 (*.f32 (neg.f32 maxCos) ux)))
(.f32 (exp.f32 (log.f32 (.f32 maxCos ux))) (exp.f32 (log.f32 (*.f32 maxCos ux))))
(.f32 (.f32 ux ux) (*.f32 maxCos maxCos))
(.f32 (.f32 maxCos maxCos) (*.f32 ux ux))
(.f32 (.f32 maxCos ux) (*.f32 maxCos ux))
(.f32 (.f32 (neg.f32 maxCos) ux) (*.f32 (neg.f32 maxCos) ux))
(/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 maxCos ux) #s(literal -2 binary32)))
(pow.f32 (exp.f32 (log.f32 (*.f32 maxCos ux))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) #s(literal 1 binary32))
(pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))
(pow.f32 (*.f32 (neg.f32 maxCos) ux) #s(literal 2 binary32))
(+.f32 (cosh.f32 (.f32 (log.f32 (.f32 maxCos ux)) #s(literal 2 binary32))) (sinh.f32 (.f32 (log.f32 (.f32 maxCos ux)) #s(literal 2 binary32))))
(exp.f32 (fma.f32 (log.f32 ux) #s(literal 2 binary32) (*.f32 (log.f32 maxCos) #s(literal 2 binary32))))
(exp.f32 (fma.f32 (log.f32 maxCos) #s(literal 2 binary32) (*.f32 (log.f32 ux) #s(literal 2 binary32))))
(exp.f32 (.f32 (log.f32 (.f32 maxCos ux)) #s(literal 2 binary32)))
(.f32 (pow.f32 (.f32 maxCos ux) #s(literal 1/2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 1/2 binary32)))
(*.f32 maxCos ux)
(*.f32 ux maxCos)
(/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 maxCos ux) #s(literal -1 binary32)))
(pow.f32 (*.f32 maxCos ux) #s(literal 1 binary32))
(exp.f32 (.f32 (log.f32 (.f32 maxCos ux)) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (neg.f32 ux) (-.f32 maxCos #s(literal 1 binary32))) (.f32 (neg.f32 ux) (-.f32 maxCos #s(literal 1 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 ux) (-.f32 maxCos #s(literal 1 binary32)))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 (neg.f32 ux) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (fma.f32 (.f32 (neg.f32 ux) (-.f32 maxCos #s(literal 1 binary32))) (.f32 (neg.f32 ux) (-.f32 maxCos #s(literal 1 binary32))) (.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (-.f32 maxCos #s(literal 1 binary32)))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)) #s(literal 1 binary32))) (neg.f32 (-.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 3 binary32)) #s(literal 1 binary32))) (neg.f32 (+.f32 (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 1 binary32))))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))
(/.f32 (-.f32 (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 1 binary32)))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))))
(/.f32 (+.f32 (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 1 binary32)))))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (/.f32 (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))
(-.f32 (/.f32 (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)) (-.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (-.f32 maxCos #s(literal 1 binary32))))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 ux (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))) (/.f32 (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))))
(+.f32 (/.f32 (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 3 binary32)) (+.f32 (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 1 binary32))))))
(+.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))
(/.f32 (neg.f32 (-.f32 (*.f32 maxCos maxCos) #s(literal 1 binary32))) (neg.f32 (+.f32 #s(literal 1 binary32) maxCos)))
(/.f32 (neg.f32 (-.f32 (pow.f32 maxCos #s(literal 3 binary32)) #s(literal 1 binary32))) (neg.f32 (fma.f32 maxCos maxCos (+.f32 #s(literal 1 binary32) (*.f32 maxCos #s(literal 1 binary32))))))
(/.f32 (-.f32 (*.f32 maxCos maxCos) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) maxCos))
(/.f32 (-.f32 (pow.f32 maxCos #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 maxCos maxCos (+.f32 #s(literal 1 binary32) (*.f32 maxCos #s(literal 1 binary32)))))
(-.f32 (/.f32 (pow.f32 maxCos #s(literal 3 binary32)) (fma.f32 maxCos maxCos (+.f32 #s(literal 1 binary32) (.f32 maxCos #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos maxCos (+.f32 #s(literal 1 binary32) (.f32 maxCos #s(literal 1 binary32))))))
(-.f32 (/.f32 (*.f32 maxCos maxCos) (+.f32 #s(literal 1 binary32) maxCos)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) maxCos)))
(-.f32 maxCos #s(literal 1 binary32))
#s(literal 1 binary32)
#s(approx (/ (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) (* 2 (- ux (* (neg maxCos) ux)))) #s(literal 1 binary32))
#s(approx (/ (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) (* 2 (- ux (* (neg maxCos) ux)))) (fma.f32 (*.f32 ux (+.f32 #s(literal 1 binary32) (neg.f32 maxCos))) #s(literal -1 binary32) #s(literal 1 binary32)))
#s(approx (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)) ux) #s(literal 2 binary32)))
#s(approx (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (-.f32 #s(literal 1 binary32) (.f32 maxCos maxCos)) ux) (.f32 (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)) #s(literal 2 binary32))) ux))
#s(approx (* 2 (- ux (* (neg maxCos) ux))) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)) ux) #s(literal 2 binary32)))
#s(approx (- ux (* (neg maxCos) ux)) (*.f32 (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)) ux))
#s(approx ux ux)
#s(approx (* (neg maxCos) ux) (*.f32 (neg.f32 maxCos) ux))
#s(approx (* 2 (- (* ux ux) (pow (* maxCos ux) 2))) (.f32 (.f32 (.f32 ux ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (.f32 maxCos maxCos))))
#s(approx (- (* ux ux) (pow (* maxCos ux) 2)) (.f32 (.f32 ux ux) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))))
#s(approx (* ux ux) (*.f32 ux ux))
#s(approx (pow (* maxCos ux) 2) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))
#s(approx (* maxCos ux) (*.f32 maxCos ux))
#s(approx (+ (* (- maxCos 1) ux) 1) #s(literal 1 binary32))
#s(approx (+ (* (- maxCos 1) ux) 1) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))
#s(approx (/ (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) (* 2 (- ux (* (neg maxCos) ux)))) (neg.f32 (*.f32 ux (+.f32 #s(literal 1 binary32) (neg.f32 maxCos)))))
#s(approx (/ (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) (* 2 (- ux (* (neg maxCos) ux)))) (fma.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (neg.f32 maxCos))) ux #s(literal 1 binary32)))
#s(approx (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) (.f32 (.f32 (.f32 ux ux) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) (.f32 maxCos maxCos))))
#s(approx (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) (.f32 (.f32 #s(literal 2 binary32) (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)) ux) (-.f32 #s(literal 1 binary32) (.f32 maxCos maxCos)))) (.f32 ux ux)))
#s(approx (+ (* (- maxCos 1) ux) 1) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))
#s(approx (+ (* (- maxCos 1) ux) 1) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))
#s(approx (/ (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) (* 2 (- ux (* (neg maxCos) ux)))) (neg.f32 (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos))))
#s(approx (/ (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) (* 2 (- ux (* (neg maxCos) ux)))) (.f32 (neg.f32 ux) (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) maxCos)) (+.f32 (/.f32 (.f32 maxCos maxCos) (+.f32 #s(literal 1 binary32) maxCos)) (/.f32 #s(literal 1 binary32) ux)))))
#s(approx (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) (.f32 (.f32 #s(literal 2 binary32) (-.f32 (/.f32 (+.f32 #s(literal 1 binary32) maxCos) ux) (-.f32 #s(literal 1 binary32) (.f32 maxCos maxCos)))) (.f32 ux ux)))
#s(approx (* 2 (- ux (* (neg maxCos) ux))) (*.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)))
#s(approx (- ux (* (neg maxCos) ux)) (fma.f32 maxCos ux ux))
#s(approx (+ (* (- maxCos 1) ux) 1) (*.f32 (neg.f32 ux) (-.f32 (neg.f32 (-.f32 maxCos #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) ux))))
#s(approx (/ (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) (* 2 (- ux (* (neg maxCos) ux)))) (.f32 (/.f32 (.f32 #s(literal 2 binary32) (-.f32 ux (*.f32 ux ux))) ux) #s(literal 1/2 binary32)))
#s(approx (/ (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) (* 2 (- ux (* (neg maxCos) ux)))) (fma.f32 (/.f32 (.f32 #s(literal 2 binary32) (-.f32 ux (.f32 ux ux))) ux) #s(literal 1/2 binary32) (*.f32 maxCos ux)))
#s(approx (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) (.f32 #s(literal 2 binary32) (-.f32 ux (.f32 ux ux))))
#s(approx (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) (fma.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32) (.f32 (.f32 ux ux) #s(literal -2 binary32))))
#s(approx (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) (-.f32 (fma.f32 (.f32 #s(literal 2 binary32) (+.f32 ux (.f32 (.f32 ux ux) maxCos))) maxCos (.f32 ux #s(literal 2 binary32))) (.f32 (.f32 ux ux) #s(literal 2 binary32))))
#s(approx (* 2 (- ux (* (neg maxCos) ux))) (*.f32 ux #s(literal 2 binary32)))
#s(approx (* 2 (- ux (* (neg maxCos) ux))) (*.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)))
#s(approx (- ux (* (neg maxCos) ux)) ux)
#s(approx (- ux (* (neg maxCos) ux)) (fma.f32 maxCos ux ux))
#s(approx (neg maxCos) (neg.f32 maxCos))
#s(approx maxCos maxCos)
#s(approx (* 2 (- (* ux ux) (pow (* maxCos ux) 2))) (.f32 (.f32 ux ux) #s(literal 2 binary32)))
#s(approx (* 2 (- (* ux ux) (pow (* maxCos ux) 2))) (fma.f32 (.f32 ux ux) #s(literal 2 binary32) (.f32 #s(literal -2 binary32) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))))
#s(approx (- (* ux ux) (pow (* maxCos ux) 2)) (*.f32 ux ux))
#s(approx (- (* ux ux) (pow (* maxCos ux) 2)) (fma.f32 ux ux (neg.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))))
#s(approx (+ (* (- maxCos 1) ux) 1) (fma.f32 #s(literal -1 binary32) ux #s(literal 1 binary32)))
#s(approx (+ (* (- maxCos 1) ux) 1) (fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32)))
#s(approx (- maxCos 1) #s(literal -1 binary32))
#s(approx (- maxCos 1) (-.f32 maxCos #s(literal 1 binary32)))
#s(approx (/ (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) (* 2 (- ux (* (neg maxCos) ux)))) (*.f32 maxCos ux))
#s(approx (/ (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) (* 2 (- ux (* (neg maxCos) ux)))) (.f32 (fma.f32 (/.f32 (-.f32 #s(literal 2 binary32) (.f32 ux #s(literal 2 binary32))) maxCos) #s(literal 1/2 binary32) ux) maxCos))
#s(approx (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) (.f32 (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)) #s(literal 2 binary32)))
#s(approx (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) (.f32 (fma.f32 (/.f32 ux maxCos) #s(literal 2 binary32) (.f32 (.f32 ux ux) #s(literal 2 binary32))) (.f32 maxCos maxCos)))
#s(approx (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) (.f32 (-.f32 (.f32 #s(literal 2 binary32) (+.f32 (/.f32 ux maxCos) (/.f32 ux (.f32 maxCos maxCos)))) (fma.f32 (pow.f32 (/.f32 ux maxCos) #s(literal 2 binary32)) #s(literal 2 binary32) (.f32 (.f32 ux ux) #s(literal -2 binary32)))) (.f32 maxCos maxCos)))
#s(approx (* 2 (- ux (* (neg maxCos) ux))) (.f32 (.f32 maxCos ux) #s(literal 2 binary32)))
#s(approx (* 2 (- ux (* (neg maxCos) ux))) (.f32 (.f32 #s(literal 2 binary32) (+.f32 ux (/.f32 ux maxCos))) maxCos))
#s(approx (- ux (* (neg maxCos) ux)) (*.f32 maxCos ux))
#s(approx (- ux (* (neg maxCos) ux)) (*.f32 (-.f32 (/.f32 ux maxCos) (neg.f32 ux)) maxCos))
#s(approx (* 2 (- (* ux ux) (pow (* maxCos ux) 2))) (.f32 #s(literal -2 binary32) (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32))))
#s(approx (* 2 (- (* ux ux) (pow (* maxCos ux) 2))) (.f32 (fma.f32 (pow.f32 (/.f32 ux maxCos) #s(literal 2 binary32)) #s(literal 2 binary32) (.f32 (.f32 ux ux) #s(literal -2 binary32))) (.f32 maxCos maxCos)))
#s(approx (- (* ux ux) (pow (* maxCos ux) 2)) (neg.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))
#s(approx (- (* ux ux) (pow (* maxCos ux) 2)) (.f32 (-.f32 (pow.f32 (/.f32 ux maxCos) #s(literal 2 binary32)) (.f32 ux ux)) (*.f32 maxCos maxCos)))
#s(approx (+ (* (- maxCos 1) ux) 1) (*.f32 maxCos ux))
#s(approx (+ (* (- maxCos 1) ux) 1) (*.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal 1 binary32)) maxCos) ux) maxCos))
#s(approx (- maxCos 1) maxCos)
#s(approx (- maxCos 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) maxCos)) maxCos))
#s(approx (/ (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) (* 2 (- ux (* (neg maxCos) ux)))) (.f32 (neg.f32 maxCos) (fma.f32 #s(literal -1/2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (.f32 ux #s(literal 2 binary32))) maxCos) (neg.f32 ux))))
#s(approx (/ (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) (* 2 (- ux (* (neg maxCos) ux)))) (.f32 (neg.f32 maxCos) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (.f32 #s(literal 2 binary32) (-.f32 ux (.f32 ux ux))) ux)) (neg.f32 (-.f32 #s(literal 2 binary32) (.f32 ux #s(literal 2 binary32))))) maxCos) #s(literal -1/2 binary32) (.f32 (-.f32 #s(literal 2 binary32) (.f32 ux #s(literal 2 binary32))) #s(literal 1/2 binary32))) maxCos) #s(literal -1 binary32) (neg.f32 ux))))
#s(approx (/ (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) (* 2 (- ux (* (neg maxCos) ux)))) (.f32 (neg.f32 maxCos) (fma.f32 (/.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (.f32 ux #s(literal 2 binary32))) #s(literal 1/2 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (.f32 #s(literal 2 binary32) (-.f32 ux (.f32 ux ux))) ux)) (neg.f32 (-.f32 #s(literal 2 binary32) (.f32 ux #s(literal 2 binary32))))) maxCos) #s(literal -1/2 binary32) (.f32 (-.f32 (neg.f32 (/.f32 (.f32 #s(literal 2 binary32) (-.f32 ux (.f32 ux ux))) ux)) (neg.f32 (-.f32 #s(literal 2 binary32) (*.f32 ux #s(literal 2 binary32))))) #s(literal 1/2 binary32))) maxCos))) maxCos) #s(literal -1 binary32) (neg.f32 ux))))
#s(approx (- (* 2 (- ux (* (neg maxCos) ux))) (* 2 (- (* ux ux) (pow (* maxCos ux) 2)))) (.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux (neg.f32 (/.f32 (.f32 #s(literal 2 binary32) (-.f32 ux (.f32 ux ux))) maxCos))) maxCos) #s(literal -1 binary32) (.f32 (.f32 ux ux) #s(literal 2 binary32))) (.f32 maxCos maxCos)))
#s(approx (* 2 (- ux (* (neg maxCos) ux))) (.f32 (neg.f32 maxCos) (.f32 #s(literal -2 binary32) (+.f32 ux (/.f32 ux maxCos)))))
#s(approx (- ux (* (neg maxCos) ux)) (*.f32 (neg.f32 maxCos) (-.f32 (/.f32 (neg.f32 ux) maxCos) ux)))
#s(approx (+ (* (- maxCos 1) ux) 1) (.f32 (neg.f32 maxCos) (.f32 #s(literal -1 binary32) (+.f32 (/.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal 1 binary32)) maxCos) ux))))
#s(approx (- maxCos 1) (*.f32 (neg.f32 maxCos) (-.f32 (/.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32))))

eval39.0ms (1.6%)

Memory: -9.7MiB live, 84.0MiB allocated; 4ms collecting garbage
Compiler: Compiled 14 767 to 1 348 computations (90.9% saved)

prune945.0ms (37.9%)

Memory

-25.7MiB live, 1 513.4MiB allocated; 28ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	382	0	382
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	382	3	385

Accuracy

100.0%

Counts

385 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
✓	99.0%	(/.f32 (-.f32 (.f32 #s(literal 2 binary32) (-.f32 ux (.f32 (neg.f32 maxCos) ux))) (.f32 #s(literal 2 binary32) (-.f32 (.f32 ux ux) (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32))))) (.f32 #s(literal 2 binary32) (-.f32 ux (*.f32 (neg.f32 maxCos) ux))))
✓	99.9%	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))

Status

Accuracy

Program

✓

99.9%

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

✓

99.0%

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

✓

99.9%

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

Compiler

Compiled 84 to 49 computations (41.7% saved)

regimes7.0ms (0.3%)

Memory

17.5MiB live, 17.5MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

4 calls:

2.0ms	uy
2.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
2.0ms	ux
1.0ms	maxCos

Results

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

Compiler

Compiled 10 to 16 computations (-60% saved)

regimes5.0ms (0.2%)

Memory

15.5MiB live, 15.5MiB allocated; 0ms collecting garbage

Accuracy

Total -0.3b remaining (-938%)

Threshold costs -0.3b (-938%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 10 to 16 computations (-60% saved)

simplify52.0ms (2.1%)

Memory

-31.9MiB live, 65.9MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	14	13
2	24	13
3	39	13
4	74	13
5	308	13
6	2867	13
7	6619	13

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations29.0ms (1.2%)

Memory

33.2MiB live, 33.2MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 13 to 9 computations (30.8% saved)

preprocess11.0ms (0.5%)

Memory: -21.0MiB live, 26.6MiB allocated; 1ms collecting garbage
Remove: (abs uy)
Compiler: Compiled 64 to 56 computations (12.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze86.0ms (3.4%)

sample634.0ms (25.4%)

explain59.0ms (2.4%)

preprocess165.0ms (6.6%)

eval0.0ms (0%)

prune0.0ms (0%)

series5.0ms (0.2%)

rewrite181.0ms (7.3%)

eval12.0ms (0.5%)

prune82.0ms (3.3%)

series21.0ms (0.8%)

rewrite162.0ms (6.5%)

eval39.0ms (1.6%)

prune945.0ms (37.9%)

regimes7.0ms (0.3%)

regimes5.0ms (0.2%)

simplify52.0ms (2.1%)

derivations29.0ms (1.2%)

preprocess11.0ms (0.5%)

end0.0ms (0%)

Profiling