Metrics for UniformSampleCone, z

start0.0ms (0%)

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

analyze120.0ms (3.3%)

Memory

10.1MiB live, 106.4MiB allocated; 164ms 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)

sample1.3s (35.4%)

Memory

90.2MiB live, 1 359.3MiB allocated; 814ms collecting garbage

Samples

659.0ms	8 189×	0	valid
7.0ms	67×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 455.0ms

const: 141.0ms (31% of total)

ival-<=: 130.0ms (28.6% of total)

ival-mult: 54.0ms (11.9% of total)

ival-sub: 45.0ms (9.9% of total)

ival-add: 41.0ms (9% of total)

ival-and: 30.0ms (6.6% of total)

exact: 8.0ms (1.8% of total)

adjust: 4.0ms (0.9% of total)

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

Bogosity

explain63.0ms (1.7%)

Memory

0.8MiB live, 90.4MiB allocated; 11ms 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

22.0ms	508×	0	valid
0.0ms	4×	1	valid

Compiler

Compiled 43 to 25 computations (41.9% saved)

Precisions

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

ival-mult: 3.0ms (32.9% of total)

ival-add: 2.0ms (21.9% of total)

ival-sub: 2.0ms (21.9% 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)

preprocess118.0ms (3.3%)

Memory

-19.1MiB live, 89.0MiB allocated; 44ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	70
1	75	68
2	156	68
3	246	66
4	320	63
5	437	63
6	654	63
7	1145	63
8	1556	63
9	1958	63
10	2234	63
11	2607	63
12	3106	63
13	3232	63
14	3245	63
15	3245	63
0	6	7
0	9	7
1	18	7
2	30	7
3	48	7
4	74	7
5	97	7
6	141	7
7	245	7
8	399	7
9	566	7
10	606	7
11	631	7
12	660	7
13	721	7
14	1005	7
15	1049	7
0	1049	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: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

simplify26.0ms (0.7%)

Memory

-21.9MiB live, 22.5MiB allocated; 6ms collecting garbage

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	1	(+.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	18	16
2	30	16
3	48	16
4	74	16
5	97	16
6	141	16
7	245	16
8	399	16
9	566	16
10	606	16
11	631	16
12	660	16
13	721	16
14	1005	16
15	1049	16
0	1049	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

23.2MiB live, 23.2MiB allocated; 0ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f32 #s(literal 1 binary32) ux)
accuracy	0.0	(*.f32 ux maxCos)
accuracy	0.03125	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))

Samples

11.0ms	254×	0	valid
0.0ms	2×	1	valid

Compiler

Compiled 18 to 9 computations (50% saved)

Precisions

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

ival-add: 1.0ms (22.5% of total)

ival-mult: 1.0ms (22.5% of total)

ival-sub: 1.0ms (22.5% 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)

series4.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB allocated; 0ms collecting garbage

Counts

3 → 15

Calls

Call 1

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

Outputs
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* -1 ux))
(* maxCos ux)
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* -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) (* ux maxCos))
1.0ms	ux	@	inf	((+ (- 1 ux) (* ux maxCos)) (- 1 ux) (* ux maxCos))
1.0ms	maxCos	@	0	((+ (- 1 ux) (* ux maxCos)) (- 1 ux) (* ux maxCos))
0.0ms	ux	@	0	((+ (- 1 ux) (* ux maxCos)) (- 1 ux) (* ux maxCos))
0.0ms	maxCos	@	-inf	((+ (- 1 ux) (* ux maxCos)) (- 1 ux) (* ux maxCos))

simplify97.0ms (2.7%)

Memory

-13.1MiB live, 77.0MiB allocated; 19ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	81
1	110	79
2	301	79
3	754	79
4	1937	79
5	4059	79
6	6828	79
0	8041	73

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 15

Calls

Call 1

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

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

rewrite199.0ms (5.5%)

Memory

21.7MiB live, 238.9MiB allocated; 63ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
0	9	13
1	44	13
2	327	13
3	4373	13
0	8540	12

Stop Event

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

Counts

3 → 192

Calls

Call 1

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

Outputs
(.f32 (/.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 #s(literal 1 binary32) ux) #s(literal 4 binary32)) (pow.f32 (.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)))) #s(literal 2 binary32)))) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32))))))
(.f32 (/.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 (.f32 maxCos ux) (fma.f32 maxCos ux (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)))) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)))) (fma.f32 (.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)))) (-.f32 (.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))))
(.f32 (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32))) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(.f32 (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32))) (-.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) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32))) (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))))
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))
(/.f32 (-.f32 (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 ux ux)) (+.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))) #s(literal 2 binary32)) (pow.f32 (/.f32 (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))) #s(literal 2 binary32))) (+.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))) (/.f32 (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))))
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)))) #s(literal 2 binary32)) (pow.f32 (/.f32 (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))) #s(literal 2 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (-.f32 (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 ux #s(literal 3 binary32))) (+.f32 (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 2 binary32)) (fma.f32 ux ux (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))))
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))) #s(literal 2 binary32)) (+.f32 (pow.f32 (/.f32 (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))) #s(literal 2 binary32)) (.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))) (/.f32 (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))))))
(/.f32 (+.f32 (pow.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)))) #s(literal 2 binary32)) (-.f32 (pow.f32 (/.f32 (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)))) #s(literal 2 binary32)) (.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)))) (/.f32 (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32))))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (neg.f32 (-.f32 (.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (-.f32 ux (.f32 maxCos ux)) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (+.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))))
(/.f32 (neg.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 (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32))))))
(/.f32 (-.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))) (.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) #s(literal 2 binary32)))
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(-.f32 #s(literal 1 binary32) (neg.f32 ux))
(-.f32 #s(literal 1 binary32) ux)
(fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 ux ux)) (+.f32 #s(literal -1 binary32) (.f32 ux ux))) #s(literal -1 binary32)) (pow.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)) #s(literal -1 binary32)) (/.f32 (*.f32 (neg.f32 ux) ux) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 ux ux)) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))))) #s(literal -1 binary32)) (pow.f32 (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32))) #s(literal -1 binary32)) (/.f32 (.f32 (neg.f32 ux) ux) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 ux ux)) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32))) (/.f32 (.f32 (neg.f32 ux) ux) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 ux ux)) (-.f32 #s(literal 1 binary32) (.f32 ux ux))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) (/.f32 (*.f32 (neg.f32 ux) ux) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 ux ux ux) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 ux ux ux) #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 (fma.f32 ux ux ux) (-.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 ux ux))) (-.f32 #s(literal 1 binary32) ux) (/.f32 (.f32 (neg.f32 ux) ux) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32)) (/.f32 (*.f32 (neg.f32 ux) ux) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 ux) ux) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 ux #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) ux #s(literal 1 binary32))
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(+.f32 (cosh.f32 (log1p.f32 ux)) (sinh.f32 (log1p.f32 ux)))
(+.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) (/.f32 (*.f32 (neg.f32 ux) ux) (-.f32 #s(literal 1 binary32) ux)))
(+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32))) (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32))))
(+.f32 ux #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (neg.f32 ux))
(+.f32 #s(literal 1 binary32) ux)
(exp.f32 (*.f32 (log1p.f32 ux) #s(literal 1 binary32)))
(exp.f32 (log1p.f32 ux))
(neg.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)))
(*.f32 (exp.f32 (log.f32 maxCos)) ux)
(.f32 (pow.f32 (.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) ux)
(*.f32 (pow.f32 maxCos #s(literal 1 binary32)) ux)
(.f32 (.f32 maxCos #s(literal 1 binary32)) ux)
(.f32 (.f32 maxCos ux) #s(literal 1 binary32))
(*.f32 maxCos ux)
(*.f32 ux (exp.f32 (log.f32 maxCos)))
(.f32 ux (pow.f32 (.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32)))
(*.f32 ux (pow.f32 maxCos #s(literal 1 binary32)))
(.f32 ux (.f32 #s(literal 1 binary32) maxCos))
(*.f32 ux maxCos)
(.f32 #s(literal 1 binary32) (.f32 maxCos ux))
(pow.f32 (*.f32 maxCos ux) #s(literal 1 binary32))
(+.f32 (cosh.f32 (log.f32 (.f32 maxCos ux))) (sinh.f32 (log.f32 (.f32 maxCos ux))))
(exp.f32 (.f32 (log.f32 (.f32 maxCos ux)) #s(literal 1 binary32)))
(exp.f32 (log.f32 (*.f32 maxCos ux)))
(neg.f32 (*.f32 (neg.f32 ux) maxCos))

eval28.0ms (0.8%)

Memory: -1.8MiB live, 42.3MiB allocated; 20ms collecting garbage
Compiler: Compiled 4 877 to 575 computations (88.2% saved)

prune4.0ms (0.1%)

Memory

15.3MiB live, 15.3MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	195	6	201
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	196	6	202

Accuracy

100.0%

Counts

202 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
▶	99.8%	(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
▶	100.0%	(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
	98.6%	(+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 ux ux)) (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32))) (.f32 ux maxCos))
▶	97.5%	#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
▶	69.6%	#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))

Compiler

Compiled 106 to 96 computations (9.4% saved)

simplify33.0ms (0.9%)

Memory

-14.7MiB live, 30.0MiB allocated; 20ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	69
0	22	66
1	37	66
2	55	66
3	81	66
4	110	66
5	143	66
6	247	66
7	402	66
8	569	66
9	607	66
10	632	66
11	661	66
12	722	66
13	1006	66
14	1050	66
0	1050	66

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

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

localize48.0ms (1.3%)

Memory

-2.2MiB live, 54.7MiB allocated; 38ms collecting garbage

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f32 #s(literal 1 binary32) ux)
accuracy	0.03125	(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
accuracy	0.0	(fma.f32 maxCos ux #s(literal 1 binary32))
accuracy	0.07259750976844201	(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
accuracy	0.0	(-.f32 #s(literal 1 binary32) ux)
accuracy	0.7990155631627968	#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
accuracy	9.730997527675113	#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
accuracy	0.0	(*.f32 maxCos ux)
accuracy	0.01171875	(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
accuracy	0.015625	(-.f32 ux (*.f32 maxCos ux))

Samples

40.0ms	254×	0	valid
0.0ms	2×	1	valid

Compiler

Compiled 68 to 15 computations (77.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-sub: 4.0ms (35.9% of total)

ival-add: 3.0ms (27% of total)

ival-mult: 3.0ms (27% 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)

series4.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB allocated; 0ms collecting garbage

Counts

9 → 27

Calls

Call 1

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

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

Calls

9 calls:

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

simplify120.0ms (3.3%)

Memory

9.4MiB live, 96.8MiB allocated; 56ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	129
1	164	129
2	422	129
3	1072	129
4	2543	129
5	5169	129
6	6557	129
7	7799	129
0	8021	118

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 26

Calls

Call 1

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

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

rewrite260.0ms (7.2%)

Memory

-84.5MiB live, 321.9MiB allocated; 106ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	54
0	22	51
1	119	51
2	869	51
0	8550	51

Stop Event

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

Counts

9 → 435

Calls

Call 1

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

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

eval39.0ms (1.1%)

Memory: -4.7MiB live, 40.5MiB allocated; 3ms collecting garbage
Compiler: Compiled 7 604 to 810 computations (89.3% saved)

prune5.0ms (0.1%)

Memory

17.3MiB live, 17.3MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	254	1	255
Fresh	1	0	1
Picked	0	5	5
Done	0	0	0
Total	255	6	261

Accuracy

100.0%

Counts

261 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
✓	99.8%	(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
✓	100.0%	(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
▶	96.4%	#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 ux #s(literal 1 binary32))))
✓	97.5%	#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
✓	69.6%	#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))

Compiler

Compiled 56 to 51 computations (8.9% saved)

simplify230.0ms (6.4%)

Memory

22.5MiB live, 159.0MiB allocated; 21ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f32 ux ux)
cost-diff	0	(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
cost-diff	0	#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 ux #s(literal 1 binary32))))
cost-diff	6	(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 ux #s(literal 1 binary32)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	39
0	15	39
1	33	39
2	73	39
3	140	39
4	213	39
5	254	39
6	298	39
7	453	39
8	717	39
9	1077	39
10	1205	39
11	1385	31
12	2090	27
13	3497	27
14	5097	27
0	8182	26

Stop Event

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

Calls

Call 1

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

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

localize43.0ms (1.2%)

Memory

-5.3MiB live, 39.0MiB allocated; 3ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f32 ux ux)
accuracy	0.05823004138909577	(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
accuracy	0.3984375	(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 ux #s(literal 1 binary32)))
accuracy	0.7990155631627968	#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 ux #s(literal 1 binary32))))

Samples

37.0ms	254×	0	valid
0.0ms	2×	1	valid

Compiler

Compiled 31 to 13 computations (58.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-sub: 23.0ms (76.5% of total)

ival-mult: 3.0ms (10% of total)

ival-add: 2.0ms (6.7% of total)

ival-div: 1.0ms (3.3% 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)

series4.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated; 0ms collecting garbage

Counts

4 → 19

Calls

Call 1

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

Outputs
1
(+ 1 (* -1 ux))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* -1 (pow ux 2)))
(pow ux 2)
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 (pow ux 2))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))

Calls

9 calls:

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

simplify130.0ms (3.6%)

Memory

-19.6MiB live, 83.5MiB allocated; 11ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	103
1	125	102
2	330	102
3	843	102
4	2136	102
5	4344	102
6	7167	102
0	8322	96

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 19

Calls

Call 1

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

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

rewrite142.0ms (4%)

Memory

42.7MiB live, 173.3MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	34
0	15	22
1	80	22
2	666	22
0	9782	20

Stop Event

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

Counts

4 → 455

Calls

Call 1

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

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

eval90.0ms (2.5%)

Memory: -20.2MiB live, 78.6MiB allocated; 24ms collecting garbage
Compiler: Compiled 13 777 to 1 600 computations (88.4% saved)

prune9.0ms (0.2%)

Memory

-19.1MiB live, 26.5MiB allocated; 3ms collecting garbage

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	467	0	467
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	467	6	473

Accuracy

100.0%

Counts

473 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
✓	99.8%	(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
✓	100.0%	(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
✓	96.4%	#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 ux #s(literal 1 binary32))))
✓	97.5%	#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
✓	69.6%	#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))

Compiler

Compiled 133 to 80 computations (39.8% saved)

regimes11.0ms (0.3%)

Memory

25.6MiB live, 25.6MiB allocated; 0ms collecting garbage

Counts

8 → 1

Calls

Call 1

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

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

Compiler

Compiled 10 to 16 computations (-60% saved)

regimes21.0ms (0.6%)

Memory

-29.3MiB live, 15.5MiB allocated; 5ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

15.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
2.0ms	uy
2.0ms	ux
2.0ms	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)

regimes7.0ms (0.2%)

Memory

12.6MiB live, 12.6MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
99.8%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
99.8%	1	`ux`
99.8%	1	`uy`
99.8%	1	`maxCos`

Compiler

Compiled 10 to 16 computations (-60% saved)

regimes5.0ms (0.2%)

Memory

11.1MiB live, 11.1MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 10 to 16 computations (-60% saved)

regimes4.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
69.6%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
69.6%	1	`ux`
69.6%	1	`uy`
69.6%	1	`maxCos`

Compiler

Compiled 10 to 16 computations (-60% saved)

simplify63.0ms (1.7%)

Memory

-10.8MiB live, 45.4MiB allocated; 6ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	39
1	34	39
2	64	39
3	98	39
4	136	39
5	184	39
6	254	39
7	381	39
8	621	39
9	848	39
10	1052	39
11	3579	39

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations342.0ms (9.5%)

Memory

3.2MiB live, 372.3MiB allocated; 53ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	81
1	110	79
2	301	79
3	754	79
4	1937	79
5	4059	79
6	6828	79
0	8041	73
0	6	13
0	9	13
1	44	13
2	327	13
3	4373	13
0	8540	12

Stop Event

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

Compiler

Compiled 39 to 17 computations (56.4% saved)

preprocess34.0ms (1%)

Memory: 1.4MiB live, 45.9MiB allocated; 5ms collecting garbage
Remove: (abs uy)
Compiler: Compiled 106 to 62 computations (41.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze120.0ms (3.3%)

sample1.3s (35.4%)

explain63.0ms (1.7%)

preprocess118.0ms (3.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify26.0ms (0.7%)

localize15.0ms (0.4%)

series4.0ms (0.1%)

simplify97.0ms (2.7%)

rewrite199.0ms (5.5%)

eval28.0ms (0.8%)

prune4.0ms (0.1%)

simplify33.0ms (0.9%)

localize48.0ms (1.3%)

series4.0ms (0.1%)

simplify120.0ms (3.3%)

rewrite260.0ms (7.2%)

eval39.0ms (1.1%)

prune5.0ms (0.1%)

simplify230.0ms (6.4%)

localize43.0ms (1.2%)

series4.0ms (0.1%)

simplify130.0ms (3.6%)

rewrite142.0ms (4%)

eval90.0ms (2.5%)

prune9.0ms (0.2%)

regimes11.0ms (0.3%)

regimes21.0ms (0.6%)

regimes7.0ms (0.2%)

regimes5.0ms (0.2%)

regimes4.0ms (0.1%)

simplify63.0ms (1.7%)

derivations342.0ms (9.5%)

preprocess34.0ms (1%)

end0.0ms (0%)

Profiling