Metrics for UniformSampleCone, z

start0.0ms (0%)

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

analyze77.0ms (1.8%)

Memory

12.3MiB live, 106.4MiB allocated; 7ms 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 (29%)

Memory

82.7MiB live, 1 349.6MiB allocated; 851ms collecting garbage

Samples

941.0ms	8 193×	0	valid
7.0ms	63×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 732.0ms

const: 428.0ms (58.5% of total)

ival-<=: 123.0ms (16.8% of total)

ival-mult: 50.0ms (6.8% of total)

ival-sub: 46.0ms (6.3% of total)

ival-add: 41.0ms (5.6% of total)

ival-and: 29.0ms (4% of total)

exact: 8.0ms (1.1% of total)

adjust: 4.0ms (0.5% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain69.0ms (1.6%)

Memory

-20.5MiB live, 89.6MiB allocated; 35ms 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 (31.7% of total)

ival-add: 2.0ms (21.1% of total)

ival-sub: 2.0ms (21.1% 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)

preprocess100.0ms (2.3%)

Memory

29.6MiB live, 73.8MiB allocated; 6ms 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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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 (0.6%)

Memory

-22.3MiB live, 22.1MiB allocated; 5ms 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 (0.3%)

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	0.04296875	(+.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: 5.0ms

ival-mult: 2.0ms (43.2% of total)

ival-add: 1.0ms (21.6% of total)

ival-sub: 1.0ms (21.6% 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))
1.0ms	maxCos	@	-inf	((+ (- 1 ux) (* ux maxCos)) (- 1 ux) (* ux maxCos))
0.0ms	ux	@	0	((+ (- 1 ux) (* ux maxCos)) (- 1 ux) (* ux maxCos))

simplify94.0ms (2.1%)

Memory

-13.6MiB live, 77.0MiB allocated; 17ms 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))

rewrite213.0ms (4.9%)

Memory

1.4MiB live, 222.7MiB allocated; 99ms 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))

eval18.0ms (0.4%)

Memory: 42.0MiB live, 42.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 4 877 to 575 computations (88.2% saved)

prune15.0ms (0.3%)

Memory

-28.0MiB live, 17.0MiB allocated; 19ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	194	7	201
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	195	7	202

Accuracy

100.0%

Counts

202 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(fma.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 maxCos ux))
▶	99.9%	(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
▶	99.8%	(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
▶	99.9%	(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
	98.8%	(+.f32 #s(approx (- 1 ux) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)) (.f32 ux maxCos))
▶	98.5%	#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
▶	72.9%	#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))

Compiler

Compiled 168 to 130 computations (22.6% saved)

simplify22.0ms (0.5%)

Memory

33.6MiB live, 33.6MiB allocated; 0ms 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)

localize55.0ms (1.2%)

Memory

-45.4MiB live, 54.8MiB allocated; 53ms collecting garbage

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f32 #s(literal 1 binary32) ux)
accuracy	0.04296875	(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
accuracy	0.0	(fma.f32 maxCos ux #s(literal 1 binary32))
accuracy	0.05859375	(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
accuracy	0.0	(-.f32 #s(literal 1 binary32) ux)
accuracy	0.48984760202306854	#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
accuracy	8.666774113498462	#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
accuracy	0.0	(*.f32 maxCos ux)
accuracy	0.014872480164287516	(-.f32 ux (*.f32 maxCos ux))
accuracy	0.01953125	(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))

Samples

22.0ms	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: 12.0ms

ival-sub: 4.0ms (34.8% of total)

ival-add: 3.0ms (26.1% of total)

ival-mult: 3.0ms (26.1% 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

7.5MiB live, 7.5MiB 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	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)))
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)))
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)))

simplify119.0ms (2.7%)

Memory

22.3MiB live, 108.7MiB 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))

rewrite242.0ms (5.5%)

Memory

-63.0MiB live, 298.4MiB allocated; 75ms 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))))))

eval46.0ms (1%)

Memory: -9.1MiB live, 35.2MiB allocated; 9ms collecting garbage
Compiler: Compiled 7 604 to 810 computations (89.3% saved)

prune5.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	252	3	255
Fresh	2	0	2
Picked	0	5	5
Done	0	0	0
Total	254	8	262

Accuracy

100.0%

Counts

262 → 8

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)
✓	99.9%	(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
▶	97.3%	#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (.f32 (/.f32 (.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) (/.f32 (.f32 ux ux) (+.f32 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))))))
▶	97.4%	#s(approx (+ (- 1 ux) (* ux maxCos)) (-.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)))))
✓	98.5%	#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
▶	97.5%	#s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (- 1 ux) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)))
✓	72.9%	#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))

Compiler

Compiled 134 to 85 computations (36.6% saved)

simplify180.0ms (4.1%)

Memory

0.8MiB live, 176.6MiB allocated; 44ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	4	(.f32 (/.f32 (.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))))
cost-diff	5	(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))))
cost-diff	8	(-.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (.f32 (/.f32 (.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) (/.f32 (.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))))
cost-diff	12	(/.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (.f32 (/.f32 (.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) (/.f32 (.f32 ux ux) (+.f32 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)))))
cost-diff	0	(+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))
cost-diff	0	(/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))
cost-diff	0	#s(approx (+ (- 1 ux) (* ux maxCos)) (-.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)))))
cost-diff	6	(-.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))))
cost-diff	0	(-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
cost-diff	0	(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)
cost-diff	0	#s(approx (- 1 ux) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux))
cost-diff	0	#s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (- 1 ux) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	303
0	47	279
1	95	275
2	292	266
3	1269	220
4	5527	207
0	8262	201

Stop Event

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

Calls

Call 1

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

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

localize225.0ms (5.1%)

Memory

15.3MiB live, 162.3MiB allocated; 27ms collecting garbage

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.33984375	(/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))
accuracy	0.375	(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))
accuracy	0.4280298038141649	#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (.f32 (/.f32 (.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) (/.f32 (.f32 ux ux) (+.f32 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))))))
accuracy	0.49837875976844204	(.f32 (/.f32 (.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))))
accuracy	0.05078125	(-.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))))
accuracy	0.3561325195368841	(/.f32 (pow.f32 ux #s(literal 3 binary32)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))
accuracy	0.38671875	(/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))
accuracy	0.4280298038141649	#s(approx (+ (- 1 ux) (* ux maxCos)) (-.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)))))
accuracy	0.0	#s(approx (- 1 ux) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux))
accuracy	0.10679628907376808	(-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
accuracy	0.2734375	(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)
accuracy	0.4280298038141649	#s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (- 1 ux) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)))

Samples

169.0ms	248×	0	valid
20.0ms	8×	5	exit

Compiler

Compiled 229 to 28 computations (87.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 152.0ms

ival-sub: 59.0ms (38.8% of total)

ival-div: 32.0ms (21.1% of total)

ival-mult: 29.0ms (19.1% of total)

ival-add: 17.0ms (11.2% of total)

ival-pow: 7.0ms (4.6% of total)

adjust: 6.0ms (3.9% of total)

exact: 1.0ms (0.7% of total)

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

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

series18.0ms (0.4%)

Memory

-24.6MiB live, 20.5MiB allocated; 4ms collecting garbage

Counts

16 → 80

Calls

Call 1

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

Outputs
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* -1 ux))
(/ 1 ux)
(/ (+ 1 (* -1 ux)) ux)
(+ 1 (* ux (- (pow ux 2) 1)))
(+ 1 (* ux (- (* (pow ux 2) (+ 1 (* -1 ux))) 1)))
(+ 1 ux)
(+ 1 (* ux (+ 1 ux)))
(+ 1 (* -2 ux))
(+ 1 (* ux (- (* 3 ux) 2)))
(+ 1 (* ux (- (* ux (+ 3 (* -4 ux))) 2)))
(+ 1 (* ux (- (* 2 ux) 1)))
(+ 1 (* ux (- (* ux (+ 2 (* -2 ux))) 1)))
(pow ux 4)
(* (pow ux 4) (+ 1 (* -2 ux)))
(* (pow ux 4) (+ 1 (* ux (- (* 3 ux) 2))))
(* (pow ux 4) (+ 1 (* ux (- (* ux (+ 3 (* -4 ux))) 2))))
(pow ux 3)
(* (pow ux 3) (+ 1 (* -1 ux)))
(* (pow ux 3) (+ 1 (* ux (- (pow ux 2) 1))))
(* (pow ux 3) (+ 1 (* ux (- (* (pow ux 2) (+ 1 (* -1 ux))) 1))))
(+ 1 (* ux (- ux 1)))
(+ 1 (* ux (- (* ux (+ 1 (* -1 ux))) 1)))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
-1
(- (/ 1 ux) 1)
(/ 1 (pow ux 2))
(/ (- 1 (/ 1 ux)) (pow ux 2))
(/ (- (+ 1 (/ 1 (pow ux 3))) (/ 1 ux)) (pow ux 2))
(/ (- (+ 1 (/ 1 (pow ux 3))) (+ (/ 1 ux) (/ 1 (pow ux 4)))) (pow ux 2))
(pow ux 2)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))
(* -1 (pow ux 2))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ 1 (/ 3 (pow ux 2)))))
(* (pow ux 2) (- (+ (* 2 (/ 1 ux)) (* 4 (/ 1 (pow ux 3)))) (+ 1 (/ 3 (pow ux 2)))))
ux
(* ux (- 1 (/ 1 ux)))
(* ux (- (+ 1 (/ 2 (pow ux 2))) (/ 1 ux)))
(* ux (- (+ 1 (/ 2 (pow ux 2))) (+ (/ 1 ux) (* 2 (/ 1 (pow ux 3))))))
(* (pow ux 2) (- 1 (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ 1 (/ 3 (pow ux 2))) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ 1 (/ 3 (pow ux 2))) (+ (* 2 (/ 1 ux)) (* 4 (/ 1 (pow ux 3))))))
(* ux (- (+ 1 (/ 1 (pow ux 3))) (/ 1 ux)))
(* ux (- (+ 1 (/ 1 (pow ux 3))) (+ (/ 1 ux) (/ 1 (pow ux 4)))))
(/ (- 1 (* 2 (/ 1 ux))) (pow ux 2))
(/ (- (+ 1 (/ 3 (pow ux 2))) (* 2 (/ 1 ux))) (pow ux 2))
(/ (- (+ 1 (/ 3 (pow ux 2))) (+ (* 2 (/ 1 ux)) (* 4 (/ 1 (pow ux 3))))) (pow ux 2))
(/ (- 1 (/ 1 ux)) ux)
(/ (- (+ 1 (/ 1 (pow ux 2))) (/ 1 ux)) ux)
(/ (- (+ 1 (/ 1 (pow ux 2))) (+ (/ 1 ux) (/ 1 (pow ux 3)))) ux)
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(/ (+ 1 (* -1 (/ (- 1 (/ 1 (pow ux 2))) ux))) (pow ux 2))
(/ (+ 1 (* -1 (/ (- (+ 1 (/ 1 (pow ux 3))) (/ 1 (pow ux 2))) ux))) (pow ux 2))
(* (pow ux 2) (- (* -1 (/ (- (* 3 (/ 1 ux)) 2) ux)) 1))
(* (pow ux 2) (- (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 ux)) 3) ux)) 2) ux)) 1))
(* -1 (* ux (- (/ 1 ux) 1)))
(* -1 (* ux (- (* -1 (/ (- (* 2 (/ 1 ux)) 1) ux)) 1)))
(* -1 (* ux (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 ux)) 2) ux)) 1) ux)) 1)))
(* (pow ux 2) (+ 1 (* -1 (/ (- 2 (* 3 (/ 1 ux))) ux))))
(* (pow ux 2) (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 3 (* 4 (/ 1 ux))) ux))) ux))))
(* -1 (* ux (- (* -1 (/ (- (/ 1 (pow ux 2)) 1) ux)) 1)))
(* -1 (* ux (- (* -1 (/ (- (/ 1 (pow ux 2)) (+ 1 (/ 1 (pow ux 3)))) ux)) 1)))
(/ (+ 1 (* -1 (/ (- 2 (* 3 (/ 1 ux))) ux))) (pow ux 2))
(/ (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 3 (* 4 (/ 1 ux))) ux))) ux))) (pow ux 2))
(* -1 (/ (- (/ 1 ux) 1) ux))
(* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) 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
7.0ms	ux	@	inf	((+ (- 1 ux) (* ux maxCos)) (- 1 ux) (* (- (/ 1 ux) 1) ux) (- (/ 1 ux) 1) (- (/ 1 (+ (+ (* ux ux) ux) 1)) (/ (pow ux 3) (+ (+ (* ux ux) ux) 1))) (+ (- 1 ux) (* ux maxCos)) (/ 1 (+ (+ (* ux ux) ux) 1)) (+ (+ (* ux ux) ux) 1) (/ (- (* (/ 1 (+ ux 1)) (/ 1 (+ ux 1))) (* (/ (* ux ux) (+ ux 1)) (/ (* ux ux) (+ ux 1)))) (+ (/ 1 (+ ux 1)) (/ (* ux ux) (+ ux 1)))) (- (* (/ 1 (+ ux 1)) (/ 1 (+ ux 1))) (* (/ (* ux ux) (+ ux 1)) (/ (* ux ux) (+ ux 1)))) (+ (/ 1 (+ ux 1)) (/ (* ux ux) (+ ux 1))) (* (/ (* ux ux) (+ ux 1)) (/ (* ux ux) (+ ux 1))) (/ (pow ux 3) (+ (+ (* ux ux) ux) 1)) (+ (- 1 ux) (* ux maxCos)) (* (/ 1 (+ ux 1)) (/ 1 (+ ux 1))) (/ 1 (+ ux 1)))
4.0ms	ux	@	-inf	((+ (- 1 ux) (* ux maxCos)) (- 1 ux) (* (- (/ 1 ux) 1) ux) (- (/ 1 ux) 1) (- (/ 1 (+ (+ (* ux ux) ux) 1)) (/ (pow ux 3) (+ (+ (* ux ux) ux) 1))) (+ (- 1 ux) (* ux maxCos)) (/ 1 (+ (+ (* ux ux) ux) 1)) (+ (+ (* ux ux) ux) 1) (/ (- (* (/ 1 (+ ux 1)) (/ 1 (+ ux 1))) (* (/ (* ux ux) (+ ux 1)) (/ (* ux ux) (+ ux 1)))) (+ (/ 1 (+ ux 1)) (/ (* ux ux) (+ ux 1)))) (- (* (/ 1 (+ ux 1)) (/ 1 (+ ux 1))) (* (/ (* ux ux) (+ ux 1)) (/ (* ux ux) (+ ux 1)))) (+ (/ 1 (+ ux 1)) (/ (* ux ux) (+ ux 1))) (* (/ (* ux ux) (+ ux 1)) (/ (* ux ux) (+ ux 1))) (/ (pow ux 3) (+ (+ (* ux ux) ux) 1)) (+ (- 1 ux) (* ux maxCos)) (* (/ 1 (+ ux 1)) (/ 1 (+ ux 1))) (/ 1 (+ ux 1)))
3.0ms	ux	@	0	((+ (- 1 ux) (* ux maxCos)) (- 1 ux) (* (- (/ 1 ux) 1) ux) (- (/ 1 ux) 1) (- (/ 1 (+ (+ (* ux ux) ux) 1)) (/ (pow ux 3) (+ (+ (* ux ux) ux) 1))) (+ (- 1 ux) (* ux maxCos)) (/ 1 (+ (+ (* ux ux) ux) 1)) (+ (+ (* ux ux) ux) 1) (/ (- (* (/ 1 (+ ux 1)) (/ 1 (+ ux 1))) (* (/ (* ux ux) (+ ux 1)) (/ (* ux ux) (+ ux 1)))) (+ (/ 1 (+ ux 1)) (/ (* ux ux) (+ ux 1)))) (- (* (/ 1 (+ ux 1)) (/ 1 (+ ux 1))) (* (/ (* ux ux) (+ ux 1)) (/ (* ux ux) (+ ux 1)))) (+ (/ 1 (+ ux 1)) (/ (* ux ux) (+ ux 1))) (* (/ (* ux ux) (+ ux 1)) (/ (* ux ux) (+ ux 1))) (/ (pow ux 3) (+ (+ (* ux ux) ux) 1)) (+ (- 1 ux) (* ux maxCos)) (* (/ 1 (+ ux 1)) (/ 1 (+ ux 1))) (/ 1 (+ ux 1)))
0.0ms	uy	@	0	((+ (- 1 ux) (* ux maxCos)) (- 1 ux) (* (- (/ 1 ux) 1) ux) (- (/ 1 ux) 1) (- (/ 1 (+ (+ (* ux ux) ux) 1)) (/ (pow ux 3) (+ (+ (* ux ux) ux) 1))) (+ (- 1 ux) (* ux maxCos)) (/ 1 (+ (+ (* ux ux) ux) 1)) (+ (+ (* ux ux) ux) 1) (/ (- (* (/ 1 (+ ux 1)) (/ 1 (+ ux 1))) (* (/ (* ux ux) (+ ux 1)) (/ (* ux ux) (+ ux 1)))) (+ (/ 1 (+ ux 1)) (/ (* ux ux) (+ ux 1)))) (- (* (/ 1 (+ ux 1)) (/ 1 (+ ux 1))) (* (/ (* ux ux) (+ ux 1)) (/ (* ux ux) (+ ux 1)))) (+ (/ 1 (+ ux 1)) (/ (* ux ux) (+ ux 1))) (* (/ (* ux ux) (+ ux 1)) (/ (* ux ux) (+ ux 1))) (/ (pow ux 3) (+ (+ (* ux ux) ux) 1)) (+ (- 1 ux) (* ux maxCos)) (* (/ 1 (+ ux 1)) (/ 1 (+ ux 1))) (/ 1 (+ ux 1)))
0.0ms	maxCos	@	-inf	((+ (- 1 ux) (* ux maxCos)) (- 1 ux) (* (- (/ 1 ux) 1) ux) (- (/ 1 ux) 1) (- (/ 1 (+ (+ (* ux ux) ux) 1)) (/ (pow ux 3) (+ (+ (* ux ux) ux) 1))) (+ (- 1 ux) (* ux maxCos)) (/ 1 (+ (+ (* ux ux) ux) 1)) (+ (+ (* ux ux) ux) 1) (/ (- (* (/ 1 (+ ux 1)) (/ 1 (+ ux 1))) (* (/ (* ux ux) (+ ux 1)) (/ (* ux ux) (+ ux 1)))) (+ (/ 1 (+ ux 1)) (/ (* ux ux) (+ ux 1)))) (- (* (/ 1 (+ ux 1)) (/ 1 (+ ux 1))) (* (/ (* ux ux) (+ ux 1)) (/ (* ux ux) (+ ux 1)))) (+ (/ 1 (+ ux 1)) (/ (* ux ux) (+ ux 1))) (* (/ (* ux ux) (+ ux 1)) (/ (* ux ux) (+ ux 1))) (/ (pow ux 3) (+ (+ (* ux ux) ux) 1)) (+ (- 1 ux) (* ux maxCos)) (* (/ 1 (+ ux 1)) (/ 1 (+ ux 1))) (/ 1 (+ ux 1)))

simplify216.0ms (4.9%)

Memory

24.1MiB live, 167.5MiB allocated; 47ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	220	865
1	678	824
2	1985	791
3	7326	790
0	8905	755

Stop Event

1×	iter limit
1×	node limit

Counts

80 → 79

Calls

Call 1

Inputs
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* -1 ux))
(/ 1 ux)
(/ (+ 1 (* -1 ux)) ux)
(+ 1 (* ux (- (pow ux 2) 1)))
(+ 1 (* ux (- (* (pow ux 2) (+ 1 (* -1 ux))) 1)))
(+ 1 ux)
(+ 1 (* ux (+ 1 ux)))
(+ 1 (* -2 ux))
(+ 1 (* ux (- (* 3 ux) 2)))
(+ 1 (* ux (- (* ux (+ 3 (* -4 ux))) 2)))
(+ 1 (* ux (- (* 2 ux) 1)))
(+ 1 (* ux (- (* ux (+ 2 (* -2 ux))) 1)))
(pow ux 4)
(* (pow ux 4) (+ 1 (* -2 ux)))
(* (pow ux 4) (+ 1 (* ux (- (* 3 ux) 2))))
(* (pow ux 4) (+ 1 (* ux (- (* ux (+ 3 (* -4 ux))) 2))))
(pow ux 3)
(* (pow ux 3) (+ 1 (* -1 ux)))
(* (pow ux 3) (+ 1 (* ux (- (pow ux 2) 1))))
(* (pow ux 3) (+ 1 (* ux (- (* (pow ux 2) (+ 1 (* -1 ux))) 1))))
(+ 1 (* ux (- ux 1)))
(+ 1 (* ux (- (* ux (+ 1 (* -1 ux))) 1)))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
-1
(- (/ 1 ux) 1)
(/ 1 (pow ux 2))
(/ (- 1 (/ 1 ux)) (pow ux 2))
(/ (- (+ 1 (/ 1 (pow ux 3))) (/ 1 ux)) (pow ux 2))
(/ (- (+ 1 (/ 1 (pow ux 3))) (+ (/ 1 ux) (/ 1 (pow ux 4)))) (pow ux 2))
(pow ux 2)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))
(* -1 (pow ux 2))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ 1 (/ 3 (pow ux 2)))))
(* (pow ux 2) (- (+ (* 2 (/ 1 ux)) (* 4 (/ 1 (pow ux 3)))) (+ 1 (/ 3 (pow ux 2)))))
ux
(* ux (- 1 (/ 1 ux)))
(* ux (- (+ 1 (/ 2 (pow ux 2))) (/ 1 ux)))
(* ux (- (+ 1 (/ 2 (pow ux 2))) (+ (/ 1 ux) (* 2 (/ 1 (pow ux 3))))))
(* (pow ux 2) (- 1 (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ 1 (/ 3 (pow ux 2))) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ 1 (/ 3 (pow ux 2))) (+ (* 2 (/ 1 ux)) (* 4 (/ 1 (pow ux 3))))))
(* ux (- (+ 1 (/ 1 (pow ux 3))) (/ 1 ux)))
(* ux (- (+ 1 (/ 1 (pow ux 3))) (+ (/ 1 ux) (/ 1 (pow ux 4)))))
(/ (- 1 (* 2 (/ 1 ux))) (pow ux 2))
(/ (- (+ 1 (/ 3 (pow ux 2))) (* 2 (/ 1 ux))) (pow ux 2))
(/ (- (+ 1 (/ 3 (pow ux 2))) (+ (* 2 (/ 1 ux)) (* 4 (/ 1 (pow ux 3))))) (pow ux 2))
(/ (- 1 (/ 1 ux)) ux)
(/ (- (+ 1 (/ 1 (pow ux 2))) (/ 1 ux)) ux)
(/ (- (+ 1 (/ 1 (pow ux 2))) (+ (/ 1 ux) (/ 1 (pow ux 3)))) ux)
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(/ (+ 1 (* -1 (/ (- 1 (/ 1 (pow ux 2))) ux))) (pow ux 2))
(/ (+ 1 (* -1 (/ (- (+ 1 (/ 1 (pow ux 3))) (/ 1 (pow ux 2))) ux))) (pow ux 2))
(* (pow ux 2) (- (* -1 (/ (- (* 3 (/ 1 ux)) 2) ux)) 1))
(* (pow ux 2) (- (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 ux)) 3) ux)) 2) ux)) 1))
(* -1 (* ux (- (/ 1 ux) 1)))
(* -1 (* ux (- (* -1 (/ (- (* 2 (/ 1 ux)) 1) ux)) 1)))
(* -1 (* ux (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 ux)) 2) ux)) 1) ux)) 1)))
(* (pow ux 2) (+ 1 (* -1 (/ (- 2 (* 3 (/ 1 ux))) ux))))
(* (pow ux 2) (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 3 (* 4 (/ 1 ux))) ux))) ux))))
(* -1 (* ux (- (* -1 (/ (- (/ 1 (pow ux 2)) 1) ux)) 1)))
(* -1 (* ux (- (* -1 (/ (- (/ 1 (pow ux 2)) (+ 1 (/ 1 (pow ux 3)))) ux)) 1)))
(/ (+ 1 (* -1 (/ (- 2 (* 3 (/ 1 ux))) ux))) (pow ux 2))
(/ (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 3 (* 4 (/ 1 ux))) ux))) ux))) (pow ux 2))
(* -1 (/ (- (/ 1 ux) 1) ux))
(* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) 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 (* ux (- maxCos 1)))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(/ 1 ux)
(/.f32 #s(literal 1 binary32) ux)
(/ (+ 1 (* -1 ux)) ux)
(/.f32 (-.f32 #s(literal 1 binary32) ux) ux)
(+ 1 (* ux (- (pow ux 2) 1)))
(fma.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (* (pow ux 2) (+ 1 (* -1 ux))) 1)))
(fma.f32 (-.f32 (*.f32 ux ux) (+.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 1 binary32))) ux #s(literal 1 binary32))
(+ 1 ux)
(+.f32 ux #s(literal 1 binary32))
(+ 1 (* ux (+ 1 ux)))
(fma.f32 (+.f32 ux #s(literal 1 binary32)) ux #s(literal 1 binary32))
(+ 1 (* -2 ux))
(fma.f32 #s(literal -2 binary32) ux #s(literal 1 binary32))
(+ 1 (* ux (- (* 3 ux) 2)))
(fma.f32 (-.f32 (*.f32 #s(literal 3 binary32) ux) #s(literal 2 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (* ux (+ 3 (* -4 ux))) 2)))
(fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -4 binary32) ux #s(literal 3 binary32)) ux) #s(literal 2 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (* 2 ux) 1)))
(fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (* ux (+ 2 (* -2 ux))) 1)))
(fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux) #s(literal 1 binary32)) ux #s(literal 1 binary32))
(pow ux 4)
(pow.f32 ux #s(literal 4 binary32))
(* (pow ux 4) (+ 1 (* -2 ux)))
(fma.f32 (pow.f32 ux #s(literal 5 binary32)) #s(literal -2 binary32) (pow.f32 ux #s(literal 4 binary32)))
(* (pow ux 4) (+ 1 (* ux (- (* 3 ux) 2))))
(.f32 (pow.f32 ux #s(literal 4 binary32)) (fma.f32 (-.f32 (.f32 #s(literal 3 binary32) ux) #s(literal 2 binary32)) ux #s(literal 1 binary32)))
(* (pow ux 4) (+ 1 (* ux (- (* ux (+ 3 (* -4 ux))) 2))))
(.f32 (pow.f32 ux #s(literal 4 binary32)) (fma.f32 (-.f32 (.f32 (fma.f32 #s(literal -4 binary32) ux #s(literal 3 binary32)) ux) #s(literal 2 binary32)) ux #s(literal 1 binary32)))
(pow ux 3)
(pow.f32 ux #s(literal 3 binary32))
(* (pow ux 3) (+ 1 (* -1 ux)))
(*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))
(* (pow ux 3) (+ 1 (* ux (- (pow ux 2) 1))))
(*.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux #s(literal 1 binary32)))
(* (pow ux 3) (+ 1 (* ux (- (* (pow ux 2) (+ 1 (* -1 ux))) 1))))
(fma.f32 (pow.f32 ux #s(literal 4 binary32)) (-.f32 (*.f32 ux ux) (+.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 1 binary32))) (pow.f32 ux #s(literal 3 binary32)))
(+ 1 (* ux (- ux 1)))
(fma.f32 (-.f32 ux #s(literal 1 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (* ux (+ 1 (* -1 ux))) 1)))
(fma.f32 (-.f32 ux (fma.f32 ux ux #s(literal 1 binary32))) ux #s(literal 1 binary32))
(* ux (- maxCos 1))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* -1 ux)
(neg.f32 ux)
(* ux (- (/ 1 ux) 1))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux)
-1
#s(literal -1 binary32)
(- (/ 1 ux) 1)
(/.f32 (-.f32 #s(literal 1 binary32) ux) ux)
(/ 1 (pow ux 2))
(/.f32 (/.f32 #s(literal 1 binary32) ux) ux)
(/ (- 1 (/ 1 ux)) (pow ux 2))
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux) ux)
(/ (- (+ 1 (/ 1 (pow ux 3))) (/ 1 ux)) (pow ux 2))
(/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)) (*.f32 ux ux))
(/ (- (+ 1 (/ 1 (pow ux 3))) (+ (/ 1 ux) (/ 1 (pow ux 4)))) (pow ux 2))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux) ux) #s(literal 1 binary32)) ux)) (*.f32 ux ux))
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(fma.f32 ux ux ux)
(* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))
(fma.f32 (+.f32 ux #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* -1 (pow ux 2))
(*.f32 (neg.f32 ux) ux)
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ 1 (/ 3 (pow ux 2)))))
(.f32 (-.f32 (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 3 binary32) ux)) ux) #s(literal 1 binary32)) (.f32 ux ux))
(* (pow ux 2) (- (+ (* 2 (/ 1 ux)) (* 4 (/ 1 (pow ux 3)))) (+ 1 (/ 3 (pow ux 2)))))
(.f32 (-.f32 (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 4 binary32) ux) #s(literal 3 binary32)) ux) #s(literal 2 binary32)) ux) #s(literal 1 binary32)) (.f32 ux ux))
ux
(* ux (- 1 (/ 1 ux)))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)
(* ux (- (+ 1 (/ 2 (pow ux 2))) (/ 1 ux)))
(fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux ux)
(* ux (- (+ 1 (/ 2 (pow ux 2))) (+ (/ 1 ux) (* 2 (/ 1 (pow ux 3))))))
(fma.f32 (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) (neg.f32 ux)) #s(literal 1 binary32)) ux) ux ux)
(* (pow ux 2) (- 1 (* 2 (/ 1 ux))))
(fma.f32 #s(literal -2 binary32) ux (*.f32 ux ux))
(* (pow ux 2) (- (+ 1 (/ 3 (pow ux 2))) (* 2 (/ 1 ux))))
(fma.f32 (+.f32 (/.f32 #s(literal 3 binary32) ux) #s(literal -2 binary32)) ux (*.f32 ux ux))
(* (pow ux 2) (- (+ 1 (/ 3 (pow ux 2))) (+ (* 2 (/ 1 ux)) (* 4 (/ 1 (pow ux 3))))))
(fma.f32 (-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 4 binary32) ux) #s(literal 3 binary32)) ux)) ux (*.f32 ux ux))
(* ux (- (+ 1 (/ 1 (pow ux 3))) (/ 1 ux)))
(fma.f32 (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) #s(literal 1 binary32)) ux) ux ux)
(* ux (- (+ 1 (/ 1 (pow ux 3))) (+ (/ 1 ux) (/ 1 (pow ux 4)))))
(fma.f32 (/.f32 (-.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux) ux) #s(literal 1 binary32)) ux) ux ux)
(/ (- 1 (* 2 (/ 1 ux))) (pow ux 2))
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) ux)) ux) ux)
(/ (- (+ 1 (/ 3 (pow ux 2))) (* 2 (/ 1 ux))) (pow ux 2))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 3 binary32) ux)) ux)) (*.f32 ux ux))
(/ (- (+ 1 (/ 3 (pow ux 2))) (+ (* 2 (/ 1 ux)) (* 4 (/ 1 (pow ux 3))))) (pow ux 2))
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 4 binary32) ux) #s(literal 3 binary32)) ux) #s(literal 2 binary32)) ux)) ux) ux)
(/ (- 1 (/ 1 ux)) ux)
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)
(/ (- (+ 1 (/ 1 (pow ux 2))) (/ 1 ux)) ux)
(/.f32 (+.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux) #s(literal 1 binary32)) ux)
(/ (- (+ 1 (/ 1 (pow ux 2))) (+ (/ 1 ux) (/ 1 (pow ux 3)))) ux)
(/.f32 (-.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux)
(* -1 (* ux (+ 1 (* -1 maxCos))))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) maxCos) (neg.f32 ux))
(* -1 (* ux (- 1 (/ 1 ux))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) (neg.f32 ux))
(/ (+ 1 (* -1 (/ (- 1 (/ 1 (pow ux 2))) ux))) (pow ux 2))
(/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)) (*.f32 ux ux))
(/ (+ 1 (* -1 (/ (- (+ 1 (/ 1 (pow ux 3))) (/ 1 (pow ux 2))) ux))) (pow ux 2))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux) ux) #s(literal 1 binary32)) ux)) (*.f32 ux ux))
(* (pow ux 2) (- (* -1 (/ (- (* 3 (/ 1 ux)) 2) ux)) 1))
(.f32 (-.f32 (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 3 binary32) ux)) ux) #s(literal 1 binary32)) (.f32 ux ux))
(* (pow ux 2) (- (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 ux)) 3) ux)) 2) ux)) 1))
(.f32 (-.f32 (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 4 binary32) ux) #s(literal 3 binary32)) ux) #s(literal 2 binary32)) ux) #s(literal 1 binary32)) (.f32 ux ux))
(* -1 (* ux (- (/ 1 ux) 1)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) ux) (neg.f32 ux))
(* -1 (* ux (- (* -1 (/ (- (* 2 (/ 1 ux)) 1) ux)) 1)))
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (neg.f32 ux)) #s(literal 1 binary32)) (neg.f32 ux))
(* -1 (* ux (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 ux)) 2) ux)) 1) ux)) 1)))
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) (neg.f32 ux)) #s(literal 1 binary32)) (neg.f32 ux)) #s(literal 1 binary32)) (neg.f32 ux))
(* (pow ux 2) (+ 1 (* -1 (/ (- 2 (* 3 (/ 1 ux))) ux))))
(fma.f32 (+.f32 (/.f32 #s(literal 3 binary32) ux) #s(literal -2 binary32)) ux (*.f32 ux ux))
(* (pow ux 2) (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 3 (* 4 (/ 1 ux))) ux))) ux))))
(fma.f32 (-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 4 binary32) ux) #s(literal 3 binary32)) ux)) ux (*.f32 ux ux))
(* -1 (* ux (- (* -1 (/ (- (/ 1 (pow ux 2)) 1) ux)) 1)))
(*.f32 (-.f32 (-.f32 (/.f32 #s(literal -1 binary32) (pow.f32 ux #s(literal 3 binary32))) (/.f32 #s(literal -1 binary32) ux)) #s(literal 1 binary32)) (neg.f32 ux))
(* -1 (* ux (- (* -1 (/ (- (/ 1 (pow ux 2)) (+ 1 (/ 1 (pow ux 3)))) ux)) 1)))
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux) ux) #s(literal 1 binary32)) (neg.f32 ux)) #s(literal 1 binary32)) (neg.f32 ux))
(/ (+ 1 (* -1 (/ (- 2 (* 3 (/ 1 ux))) ux))) (pow ux 2))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 3 binary32) ux)) ux)) (*.f32 ux ux))
(/ (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 3 (* 4 (/ 1 ux))) ux))) ux))) (pow ux 2))
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 4 binary32) ux) #s(literal 3 binary32)) ux) #s(literal 2 binary32)) ux)) ux) ux)
(* -1 (/ (- (/ 1 ux) 1) ux))
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) ux) (neg.f32 ux))
(* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux))
(/.f32 (-.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) ux) (neg.f32 ux)) #s(literal 1 binary32)) (neg.f32 ux))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) 1) ux))
(/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) ux) (neg.f32 ux)) #s(literal 1 binary32)) (neg.f32 ux)) #s(literal 1 binary32)) (neg.f32 ux))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)

rewrite192.0ms (4.4%)

Memory

-14.7MiB live, 213.3MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	273
0	47	177
1	228	133
2	2269	133
0	9624	123

Stop Event

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

Counts

16 → 735

Calls

Call 1

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

Outputs
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (- 1 ux) (*.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux)))
#s(approx (- 1 ux) (*.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux))
(*.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux)
(*.f32 ux (expm1.f32 (neg.f32 (log.f32 ux))))
(/.f32 (*.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) ux) (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 (pow.f32 ux #s(literal -3 binary32)) #s(literal 1 binary32)) ux) (+.f32 (+.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)))
(/.f32 (*.f32 ux (-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))
(/.f32 (*.f32 ux (-.f32 (pow.f32 ux #s(literal -3 binary32)) #s(literal 1 binary32))) (+.f32 (+.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)))
(expm1.f32 (neg.f32 (log.f32 ux)))
(/.f32 (-.f32 (*.f32 (pow.f32 ux #s(literal -2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 (-.f32 (.f32 (pow.f32 ux #s(literal -3 binary32)) (+.f32 (+.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux))) (.f32 (+.f32 (+.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))) (*.f32 (+.f32 (+.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)) (+.f32 (+.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux))))
(/.f32 (neg.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32))) (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))
(/.f32 (neg.f32 (-.f32 (pow.f32 ux #s(literal -3 binary32)) #s(literal 1 binary32))) (neg.f32 (+.f32 (+.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux))))
(/.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))
(/.f32 (-.f32 (pow.f32 ux #s(literal -3 binary32)) #s(literal 1 binary32)) (+.f32 (+.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)))
(-.f32 (/.f32 (pow.f32 ux #s(literal -2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))
(-.f32 (/.f32 (pow.f32 ux #s(literal -3 binary32)) (+.f32 (+.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux))) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux))))
(-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 4 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (+.f32 (/.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -3 binary32)))) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 4 binary32))) (.f32 ux ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(*.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 4 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (fma.f32 ux ux #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) ux))
(*.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 4 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (fma.f32 (fma.f32 ux ux ux) ux (-.f32 #s(literal 1 binary32) ux))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(*.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 4 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 4 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) ux))
(.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 ux ux)) (-.f32 (*.f32 ux ux) #s(literal 1 binary32))) (-.f32 ux #s(literal 1 binary32)))
(.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 ux ux)) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (-.f32 (pow.f32 (fma.f32 ux ux ux) #s(literal 2 binary32)) #s(literal 1 binary32))) (-.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))
(*.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))) (-.f32 (+.f32 (pow.f32 (fma.f32 ux ux ux) #s(literal 2 binary32)) #s(literal 1 binary32)) (fma.f32 ux ux ux)))
(*.f32 (/.f32 (fma.f32 ux ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux)) (/.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (fma.f32 ux ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux))))
(*.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))
(/.f32 (-.f32 (.f32 #s(literal -1 binary32) (fabs.f32 (-.f32 ux #s(literal 1 binary32)))) (.f32 (+.f32 (neg.f32 ux) #s(literal -1 binary32)) (.f32 ux ux))) (.f32 (+.f32 (neg.f32 ux) #s(literal -1 binary32)) (fabs.f32 (-.f32 ux #s(literal 1 binary32)))))
(/.f32 (-.f32 (fabs.f32 (-.f32 ux #s(literal 1 binary32))) (.f32 (neg.f32 (+.f32 (neg.f32 ux) #s(literal -1 binary32))) (.f32 ux ux))) (*.f32 (neg.f32 (+.f32 (neg.f32 ux) #s(literal -1 binary32))) (fabs.f32 (-.f32 ux #s(literal 1 binary32)))))
(/.f32 (-.f32 (fabs.f32 (-.f32 ux #s(literal 1 binary32))) (.f32 (fma.f32 ux ux ux) ux)) (.f32 (-.f32 #s(literal 1 binary32) ux) (fabs.f32 (-.f32 ux #s(literal 1 binary32)))))
(/.f32 (-.f32 (fabs.f32 (-.f32 ux #s(literal 1 binary32))) (.f32 (fabs.f32 (-.f32 ux #s(literal 1 binary32))) (.f32 ux ux))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(/.f32 (-.f32 (.f32 (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) ux)) (.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 2 binary32))))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(/.f32 (-.f32 (.f32 (pow.f32 (+.f32 (fma.f32 ux ux 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 ux #s(literal 3 binary32)) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 2 binary32))))) (.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (/.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 (pow.f32 ux #s(literal 9 binary32)) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 3 binary32))))) (*.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (/.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 2 binary32)))) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (/.f32 (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 (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 3 binary32)) (.f32 (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 (pow.f32 ux #s(literal 3 binary32)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))))) (*.f32 (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/.f32 (-.f32 (.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 4 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (/.f32 (pow.f32 ux #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) ux)))) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 4 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))
(/.f32 (-.f32 (.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -2 binary32))) (/.f32 (-.f32 #s(literal -1 binary32) (.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux))) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (/.f32 (pow.f32 ux #s(literal 4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) (pow.f32 (/.f32 (fma.f32 ux ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))
(/.f32 (-.f32 (.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -2 binary32))) (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (/.f32 (fma.f32 ux ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux)))) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 ux #s(literal 4 binary32)))) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (/.f32 (fma.f32 ux ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux)))))
(/.f32 (-.f32 (.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -2 binary32))) (/.f32 (fma.f32 ux ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux))) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (/.f32 (pow.f32 ux #s(literal 4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (/.f32 (fma.f32 ux ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux))))
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(/.f32 (neg.f32 (/.f32 (pow.f32 ux #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) ux))) (+.f32 (neg.f32 ux) #s(literal -1 binary32)))
(/.f32 (neg.f32 (pow.f32 ux #s(literal 4 binary32))) (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(/.f32 (.f32 (.f32 (neg.f32 ux) ux) (.f32 ux ux)) (.f32 (+.f32 (neg.f32 ux) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (.f32 (.f32 ux ux) (.f32 (neg.f32 ux) ux)) (.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 (neg.f32 ux) #s(literal -1 binary32))))
(/.f32 (/.f32 (pow.f32 ux #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))
(/.f32 (pow.f32 ux #s(literal 4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(pow.f32 (exp.f32 (-.f32 (*.f32 #s(literal 2 binary32) (log.f32 ux)) (log1p.f32 ux))) #s(literal 2 binary32))
(pow.f32 (*.f32 (neg.f32 ux) (/.f32 ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32))
(pow.f32 (/.f32 (pow.f32 ux #s(literal 4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 1 binary32))
(pow.f32 (*.f32 (/.f32 ux (-.f32 #s(literal 1 binary32) ux)) ux) #s(literal 2 binary32))
(fabs.f32 (neg.f32 (/.f32 (pow.f32 ux #s(literal 4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))
(fabs.f32 (/.f32 (pow.f32 ux #s(literal 4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(+.f32 (cosh.f32 (.f32 (-.f32 (.f32 #s(literal 2 binary32) (log.f32 ux)) (log1p.f32 ux)) #s(literal 2 binary32))) (sinh.f32 (.f32 (-.f32 (.f32 #s(literal 2 binary32) (log.f32 ux)) (log1p.f32 ux)) #s(literal 2 binary32))))
(exp.f32 (.f32 (log.f32 (.f32 (neg.f32 ux) (/.f32 ux (-.f32 #s(literal 1 binary32) ux)))) #s(literal 2 binary32)))
(exp.f32 (.f32 (-.f32 (.f32 #s(literal 2 binary32) (log.f32 ux)) (log1p.f32 ux)) #s(literal 2 binary32)))
(neg.f32 (neg.f32 (/.f32 (pow.f32 ux #s(literal 4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))
(*.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (pow.f32 (fma.f32 ux ux ux) #s(literal 2 binary32)) #s(literal 1 binary32))) (-.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))
(*.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (+.f32 (pow.f32 (fma.f32 ux ux ux) #s(literal 3 binary32)) #s(literal 1 binary32))) (-.f32 (+.f32 (pow.f32 (fma.f32 ux ux ux) #s(literal 2 binary32)) #s(literal 1 binary32)) (fma.f32 ux ux ux)))
(*.f32 (pow.f32 ux #s(literal 3/2 binary32)) (/.f32 (pow.f32 ux #s(literal 3/2 binary32)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))))
(.f32 (.f32 ux ux) (/.f32 ux (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))))
(.f32 ux (/.f32 (.f32 ux ux) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))))
(/.f32 (pow.f32 ux #s(literal 3 binary32)) (neg.f32 (neg.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))))
(/.f32 (pow.f32 ux #s(literal 3 binary32)) (neg.f32 (+.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)))
(neg.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(.f32 (fabs.f32 (/.f32 (exp.f32 (neg.f32 (log1p.f32 ux))) (-.f32 (.f32 ux ux) #s(literal 1 binary32)))) (fabs.f32 (-.f32 ux #s(literal 1 binary32))))
(*.f32 (fabs.f32 (/.f32 (exp.f32 (neg.f32 (log1p.f32 ux))) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))))) (fabs.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))))
(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 (.f32 ux ux) #s(literal 1 binary32))) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) #s(literal 2 binary32)) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 2 binary32)))
(.f32 (/.f32 (exp.f32 (neg.f32 (log1p.f32 ux))) (-.f32 (.f32 ux ux) #s(literal 1 binary32))) (-.f32 ux #s(literal 1 binary32)))
(*.f32 (/.f32 (exp.f32 (neg.f32 (log1p.f32 ux))) (-.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 #s(literal 1 binary32) ux)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) ux)))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -2 binary32)) #s(literal 1 binary32))
(*.f32 (exp.f32 (neg.f32 (log1p.f32 ux))) (exp.f32 (neg.f32 (log1p.f32 ux))))
(*.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -2 binary32)))
(sqrt.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -4 binary32)))
(/.f32 (fabs.f32 (*.f32 #s(literal -1 binary32) (exp.f32 (neg.f32 (log1p.f32 ux))))) (fabs.f32 (-.f32 ux #s(literal 1 binary32))))
(/.f32 (fabs.f32 (*.f32 (exp.f32 (neg.f32 (log1p.f32 ux))) #s(literal -1 binary32))) (fabs.f32 (-.f32 ux #s(literal 1 binary32))))
(/.f32 (*.f32 #s(literal -1 binary32) (exp.f32 (neg.f32 (log1p.f32 ux)))) (+.f32 (neg.f32 ux) #s(literal -1 binary32)))
(/.f32 (*.f32 (exp.f32 (neg.f32 (log1p.f32 ux))) #s(literal -1 binary32)) (+.f32 (neg.f32 ux) #s(literal -1 binary32)))
(/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) ux)) (+.f32 (neg.f32 ux) #s(literal -1 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(/.f32 #s(literal -1 binary32) (*.f32 (+.f32 (neg.f32 ux) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 #s(literal -1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 (neg.f32 ux) #s(literal -1 binary32))))
(/.f32 (exp.f32 (neg.f32 (log1p.f32 ux))) (fabs.f32 (-.f32 ux #s(literal 1 binary32))))
(/.f32 (exp.f32 (neg.f32 (log1p.f32 ux))) (-.f32 #s(literal 1 binary32) ux))
(/.f32 #s(literal 1 binary32) (fabs.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (fabs.f32 (*.f32 (+.f32 (neg.f32 ux) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) ux))))
(/.f32 #s(literal 1 binary32) (fabs.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 (neg.f32 ux) #s(literal -1 binary32)))))
(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -2 binary32)) #s(literal 1 binary32))
(pow.f32 (exp.f32 (neg.f32 (log1p.f32 ux))) #s(literal 2 binary32))
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -2 binary32))
(fabs.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) ux)) (exp.f32 (neg.f32 (log1p.f32 ux)))))
(fabs.f32 (*.f32 (exp.f32 (neg.f32 (log1p.f32 ux))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) ux))))
(fabs.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -2 binary32))))
(fabs.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -2 binary32)))
(+.f32 (cosh.f32 (.f32 #s(literal -2 binary32) (log1p.f32 ux))) (sinh.f32 (.f32 #s(literal -2 binary32) (log1p.f32 ux))))
(exp.f32 (*.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal -1 binary32)))
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log1p.f32 ux) #s(literal -2 binary32)))
(exp.f32 (*.f32 #s(literal -2 binary32) (log1p.f32 ux)))
(neg.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) ux)) (exp.f32 (neg.f32 (log1p.f32 ux)))))
(neg.f32 (*.f32 (exp.f32 (neg.f32 (log1p.f32 ux))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) ux))))
(*.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -1/2 binary32))) (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -1/2 binary32))))
(.f32 (fabs.f32 (/.f32 #s(literal 1 binary32) (-.f32 (.f32 ux ux) #s(literal 1 binary32)))) (fabs.f32 (-.f32 ux #s(literal 1 binary32))))
(*.f32 (fabs.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))))) (fabs.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))))
(*.f32 (fabs.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -1/2 binary32))) (fabs.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -1/2 binary32))))
(.f32 (sqrt.f32 (/.f32 (exp.f32 (neg.f32 (log1p.f32 ux))) (-.f32 (.f32 ux ux) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 ux #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 (exp.f32 (neg.f32 (log1p.f32 ux))) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))))) (sqrt.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) ux))))
(*.f32 (sqrt.f32 (exp.f32 (neg.f32 (log1p.f32 ux)))) (sqrt.f32 (exp.f32 (neg.f32 (log1p.f32 ux)))))
(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 (.f32 ux ux) #s(literal 1 binary32))) #s(literal 1 binary32)) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) #s(literal 1 binary32)) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -1/2 binary32)) #s(literal 1 binary32)) (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -1/2 binary32)) #s(literal 1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (-.f32 (.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 ux) #s(literal 1 binary32)))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -1/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -1/2 binary32)))
(*.f32 (exp.f32 (neg.f32 (log1p.f32 ux))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (log1p.f32 ux))))
(sqrt.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -2 binary32)))
(/.f32 (sqrt.f32 (*.f32 #s(literal -1 binary32) (exp.f32 (neg.f32 (log1p.f32 ux))))) (sqrt.f32 (+.f32 (neg.f32 ux) #s(literal -1 binary32))))
(/.f32 (sqrt.f32 (*.f32 (exp.f32 (neg.f32 (log1p.f32 ux))) #s(literal -1 binary32))) (sqrt.f32 (+.f32 (neg.f32 ux) #s(literal -1 binary32))))
(/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))
(/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (*.f32 (+.f32 (neg.f32 ux) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) ux))))
(/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 (neg.f32 ux) #s(literal -1 binary32)))))
(/.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (+.f32 (neg.f32 ux) #s(literal -1 binary32))))
(/.f32 (sqrt.f32 (exp.f32 (neg.f32 (log1p.f32 ux)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) ux)))
(/.f32 #s(literal -1 binary32) (+.f32 (neg.f32 ux) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (fabs.f32 (fabs.f32 (-.f32 ux #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 (neg.f32 ux) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (fabs.f32 (-.f32 ux #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))
(pow.f32 (exp.f32 (log1p.f32 ux)) #s(literal -1 binary32))
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (neg.f32 (+.f32 (neg.f32 ux) #s(literal -1 binary32))) #s(literal -1 binary32))
(pow.f32 (fabs.f32 (-.f32 ux #s(literal 1 binary32))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1/2 binary32))
(pow.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -2 binary32)) #s(literal 1/2 binary32))
(pow.f32 (exp.f32 (neg.f32 (log1p.f32 ux))) #s(literal 1 binary32))
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))
(fabs.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) ux)))
(fabs.f32 (exp.f32 (neg.f32 (log1p.f32 ux))))
(+.f32 (cosh.f32 (neg.f32 (log1p.f32 ux))) (sinh.f32 (neg.f32 (log1p.f32 ux))))
(exp.f32 (/.f32 (*.f32 #s(literal -2 binary32) (log1p.f32 ux)) #s(literal 2 binary32)))
(exp.f32 (*.f32 (neg.f32 (log1p.f32 ux)) #s(literal 1 binary32)))
(exp.f32 (neg.f32 (log1p.f32 ux)))
(neg.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) ux)))

eval83.0ms (1.9%)

Memory: 31.1MiB live, 220.5MiB allocated; 22ms collecting garbage
Compiler: Compiled 36 889 to 3 469 computations (90.6% saved)

prune12.0ms (0.3%)

Memory

7.4MiB live, 52.8MiB allocated; 3ms collecting garbage

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	805	2	807
Fresh	0	0	0
Picked	1	2	3
Done	2	3	5
Total	808	7	815

Accuracy

100.0%

Counts

815 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
▶	100.0%	#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))
✓	97.3%	#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (.f32 (/.f32 (.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) (/.f32 (.f32 ux ux) (+.f32 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))))))
▶	97.4%	#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (.f32 (.f32 ux ux) (/.f32 ux (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))))))
✓	98.5%	#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
✓	97.5%	#s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (- 1 ux) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)))
✓	72.9%	#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))

Compiler

Compiled 137 to 83 computations (39.4% saved)

simplify92.0ms (2.1%)

Memory

-1.7MiB live, 44.4MiB allocated; 3ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f32 maxCos #s(literal 1 binary32))
cost-diff	0	(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
cost-diff	0	#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))
cost-diff	0	(/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))
cost-diff	0	#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (.f32 (.f32 ux ux) (/.f32 ux (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))))))
cost-diff	2	(.f32 (.f32 ux ux) (/.f32 ux (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))))
cost-diff	7	(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (.f32 (.f32 ux ux) (/.f32 ux (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	17	119
0	27	119
1	54	119
2	130	101
3	307	99
4	543	97
5	860	97
6	1274	97
7	1684	97
8	2153	97
9	2481	97
10	2848	97
11	3134	97
12	3480	97
13	3556	97
14	3628	97
15	3666	97
16	3666	97
17	3666	97
0	3666	97

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize60.0ms (1.4%)

Memory

-20.2MiB live, 160.6MiB allocated; 25ms collecting garbage

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f32 maxCos #s(literal 1 binary32))
accuracy	0.0	#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))
accuracy	0.00390625	(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
accuracy	0.27734375	(/.f32 ux (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))
accuracy	0.3434562988422101	(.f32 (.f32 ux ux) (/.f32 ux (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))))
accuracy	0.38671875	(/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))
accuracy	0.4280298038141649	#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (.f32 (.f32 ux ux) (/.f32 ux (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))))))

Samples

39.0ms	248×	0	valid
4.0ms	8×	5	exit

Compiler

Compiled 100 to 19 computations (81% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-sub: 12.0ms (36.1% of total)

ival-mult: 11.0ms (33.1% of total)

ival-add: 5.0ms (15% of total)

ival-div: 4.0ms (12% of total)

adjust: 1.0ms (3% of total)

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

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

exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB allocated; 0ms collecting garbage

Counts

8 → 53

Calls

Call 1

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

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

Calls

9 calls:

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

simplify163.0ms (3.7%)

Memory

-7.7MiB live, 98.4MiB allocated; 46ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	122	485
1	381	476
2	1101	468
3	3449	459
0	8455	442

Stop Event

1×	iter limit
1×	node limit

Counts

53 → 51

Calls

Call 1

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

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

rewrite179.0ms (4.1%)

Memory

-10.4MiB live, 225.2MiB allocated; 46ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	101
0	27	101
1	138	63
2	1223	63
0	8405	60

Stop Event

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

Counts

8 → 190

Calls

Call 1

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

Outputs
(/.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (.f32 (/.f32 (.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) (/.f32 (.f32 ux ux) (+.f32 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 (.f32 (/.f32 (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal -2 binary32)) (/.f32 (+.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))) (/.f32 (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal -2 binary32)) (/.f32 (+.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))))) (.f32 (/.f32 (/.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 (+.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))) (/.f32 (/.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 (+.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))))) (+.f32 (/.f32 (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal -2 binary32)) (/.f32 (+.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))) (/.f32 (/.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 (+.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))))))
(/.f32 (-.f32 (.f32 (/.f32 (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal -3 binary32)) (+.f32 (/.f32 (+.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 ux #s(literal 6 binary32))) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 2 binary32))) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal -2 binary32)))) (/.f32 (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal -3 binary32)) (+.f32 (/.f32 (+.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 ux #s(literal 6 binary32))) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 2 binary32))) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal -2 binary32))))) (.f32 (/.f32 (/.f32 (pow.f32 ux #s(literal 9 binary32)) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 3 binary32))) (+.f32 (/.f32 (+.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 ux #s(literal 6 binary32))) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 2 binary32))) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal -2 binary32)))) (/.f32 (/.f32 (pow.f32 ux #s(literal 9 binary32)) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 3 binary32))) (+.f32 (/.f32 (+.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 ux #s(literal 6 binary32))) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 2 binary32))) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal -2 binary32)))))) (+.f32 (/.f32 (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal -3 binary32)) (+.f32 (/.f32 (+.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 ux #s(literal 6 binary32))) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 2 binary32))) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal -2 binary32)))) (/.f32 (/.f32 (pow.f32 ux #s(literal 9 binary32)) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 3 binary32))) (+.f32 (/.f32 (+.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 ux #s(literal 6 binary32))) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 2 binary32))) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal -2 binary32))))))
(/.f32 (-.f32 (/.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 2 binary32))) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal -2 binary32))) (-.f32 (neg.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))) (exp.f32 (neg.f32 (log1p.f32 (fma.f32 ux ux ux))))))
(/.f32 (-.f32 (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal -2 binary32)) (.f32 (.f32 (neg.f32 (/.f32 ux (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))) (.f32 ux ux)) (.f32 (neg.f32 (/.f32 ux (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))) (*.f32 ux ux)))) (/.f32 (+.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))))
(/.f32 (-.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 (.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (fma.f32 (/.f32 (.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) (/.f32 (.f32 ux ux) (+.f32 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 (pow.f32 (/.f32 (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal -2 binary32)) (/.f32 (+.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (/.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 (+.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal -2 binary32)) (/.f32 (+.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))) (/.f32 (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal -2 binary32)) (/.f32 (+.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))) (fma.f32 (/.f32 (/.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 (+.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))) (/.f32 (/.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 (+.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))) (*.f32 (/.f32 (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal -2 binary32)) (/.f32 (+.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))) (/.f32 (/.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 (+.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))))))))
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal -3 binary32)) (+.f32 (/.f32 (+.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 ux #s(literal 6 binary32))) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 2 binary32))) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal -2 binary32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (/.f32 (pow.f32 ux #s(literal 9 binary32)) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 3 binary32))) (+.f32 (/.f32 (+.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 ux #s(literal 6 binary32))) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 2 binary32))) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal -2 binary32)))) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal -3 binary32)) (+.f32 (/.f32 (+.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 ux #s(literal 6 binary32))) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 2 binary32))) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal -2 binary32)))) (/.f32 (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal -3 binary32)) (+.f32 (/.f32 (+.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 ux #s(literal 6 binary32))) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 2 binary32))) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal -2 binary32)))) (fma.f32 (/.f32 (/.f32 (pow.f32 ux #s(literal 9 binary32)) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 3 binary32))) (+.f32 (/.f32 (+.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 ux #s(literal 6 binary32))) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 2 binary32))) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal -2 binary32)))) (/.f32 (/.f32 (pow.f32 ux #s(literal 9 binary32)) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 3 binary32))) (+.f32 (/.f32 (+.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 ux #s(literal 6 binary32))) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 2 binary32))) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal -2 binary32)))) (*.f32 (/.f32 (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal -3 binary32)) (+.f32 (/.f32 (+.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 ux #s(literal 6 binary32))) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 2 binary32))) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal -2 binary32)))) (/.f32 (/.f32 (pow.f32 ux #s(literal 9 binary32)) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 3 binary32))) (+.f32 (/.f32 (+.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 ux #s(literal 6 binary32))) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 2 binary32))) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal -2 binary32))))))))
(/.f32 (+.f32 (pow.f32 (neg.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))) #s(literal 3 binary32)) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal -3 binary32))) (+.f32 (/.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal -2 binary32)) (*.f32 (neg.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))) (exp.f32 (neg.f32 (log1p.f32 (fma.f32 ux ux ux))))))))
(/.f32 (+.f32 (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal -3 binary32)) (pow.f32 (.f32 (neg.f32 (/.f32 ux (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))) (.f32 ux ux)) #s(literal 3 binary32))) (+.f32 (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal -2 binary32)) (-.f32 (.f32 (.f32 (neg.f32 (/.f32 ux (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))) (.f32 ux ux)) (.f32 (neg.f32 (/.f32 ux (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))) (.f32 ux ux))) (.f32 (exp.f32 (neg.f32 (log1p.f32 (fma.f32 ux ux ux)))) (.f32 (neg.f32 (/.f32 ux (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))) (.f32 ux ux))))))
(/.f32 (+.f32 (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal -3 binary32)) (pow.f32 (.f32 (neg.f32 ux) (.f32 (/.f32 ux (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) ux)) #s(literal 3 binary32))) (+.f32 (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal -2 binary32)) (-.f32 (/.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 (exp.f32 (neg.f32 (log1p.f32 (fma.f32 ux ux ux)))) (.f32 (neg.f32 ux) (*.f32 (/.f32 ux (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) ux))))))
(/.f32 (fma.f32 (*.f32 (neg.f32 ux) ux) (neg.f32 ux) #s(literal -1 binary32)) (neg.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))))
(/.f32 (fma.f32 (*.f32 (neg.f32 ux) ux) ux #s(literal 1 binary32)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))
(/.f32 (+.f32 #s(literal -1 binary32) (.f32 (.f32 (neg.f32 ux) ux) (neg.f32 ux))) (neg.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 (neg.f32 ux) ux) ux)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))
(/.f32 (neg.f32 (+.f32 (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal -3 binary32)) (pow.f32 (neg.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal -2 binary32)) (-.f32 (/.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (exp.f32 (neg.f32 (log1p.f32 (fma.f32 ux ux ux)))) (neg.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))))))))
(/.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))) (neg.f32 (neg.f32 (+.f32 ux #s(literal 1 binary32)))))
(/.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))))) (neg.f32 (neg.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32))) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 2 binary32))))) (neg.f32 (neg.f32 (/.f32 (+.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))))))
(/.f32 (neg.f32 (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 9 binary32))) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 3 binary32))))) (neg.f32 (neg.f32 (+.f32 (/.f32 (+.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 ux #s(literal 6 binary32))) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 2 binary32))) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal -2 binary32))))))
(/.f32 (neg.f32 (-.f32 (.f32 #s(literal -1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (.f32 (neg.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (pow.f32 ux #s(literal 3 binary32))))) (neg.f32 (*.f32 (neg.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))))
(/.f32 (neg.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))))) (neg.f32 (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 2 binary32))))
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(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)) #s(literal 1 binary32)))) (neg.f32 (neg.f32 (-.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (neg.f32 (+.f32 (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 3 binary32)) #s(literal 1 binary32)))) (neg.f32 (neg.f32 (-.f32 (+.f32 (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))))
(/.f32 (-.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 (-.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 1 binary32)) #s(literal 1 binary32))) (.f32 (-.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 (fma.f32 (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 3 binary32)) (-.f32 (+.f32 (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)) #s(literal 1 binary32)) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)) (.f32 (-.f32 (+.f32 (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)) #s(literal 1 binary32)) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)) #s(literal 1 binary32))) (.f32 (-.f32 (+.f32 (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)) #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 maxCos #s(literal 1 binary32)) ux))))
(/.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 (neg.f32 ux) (-.f32 maxCos #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 (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 (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 3 binary32)) #s(literal 1 binary32))) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 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 (+.f32 (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)) #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 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 3 binary32)) #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 (-.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 (+.f32 (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))
(-.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 (-.f32 maxCos #s(literal 1 binary32))) ux))
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (-.f32 maxCos #s(literal 1 binary32))))
(fma.f32 (/.f32 ux (+.f32 maxCos #s(literal 1 binary32))) (/.f32 (fma.f32 maxCos maxCos #s(literal -1 binary32)) #s(literal 1 binary32)) #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)) (/.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 ux (*.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 ux (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 1 binary32))
(+.f32 (/.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 (-.f32 maxCos #s(literal 1 binary32)) ux)))) (/.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 (-.f32 maxCos #s(literal 1 binary32)) ux)))))
(+.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 (-.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 (-.f32 maxCos #s(literal 1 binary32)) ux)))))
(+.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)) #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 (+.f32 (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)) #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 (+.f32 (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)) #s(literal 1 binary32)) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))
(+.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 (/.f32 (+.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal 1 binary32))) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (-.f32 (.f32 (/.f32 (.f32 maxCos maxCos) (+.f32 maxCos #s(literal 1 binary32))) (/.f32 (.f32 maxCos maxCos) (+.f32 maxCos #s(literal 1 binary32)))) (.f32 (/.f32 #s(literal 1 binary32) (+.f32 maxCos #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 maxCos #s(literal 1 binary32))))) (+.f32 (/.f32 (*.f32 maxCos maxCos) (+.f32 maxCos #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 maxCos #s(literal 1 binary32)))))
(/.f32 (-.f32 (.f32 (/.f32 (pow.f32 maxCos #s(literal 3 binary32)) (fma.f32 maxCos maxCos (+.f32 maxCos #s(literal 1 binary32)))) (/.f32 (pow.f32 maxCos #s(literal 3 binary32)) (fma.f32 maxCos maxCos (+.f32 maxCos #s(literal 1 binary32))))) (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 maxCos maxCos (+.f32 maxCos #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos maxCos (+.f32 maxCos #s(literal 1 binary32)))))) (+.f32 (/.f32 (pow.f32 maxCos #s(literal 3 binary32)) (fma.f32 maxCos maxCos (+.f32 maxCos #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos maxCos (+.f32 maxCos #s(literal 1 binary32))))))
(/.f32 (-.f32 (pow.f32 (/.f32 (.f32 maxCos maxCos) (+.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 (.f32 maxCos maxCos) (+.f32 maxCos #s(literal 1 binary32))) (/.f32 (.f32 maxCos maxCos) (+.f32 maxCos #s(literal 1 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 maxCos #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 maxCos #s(literal 1 binary32))) (.f32 (/.f32 (*.f32 maxCos maxCos) (+.f32 maxCos #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 maxCos #s(literal 1 binary32)))))))
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 maxCos #s(literal 3 binary32)) (fma.f32 maxCos maxCos (+.f32 maxCos #s(literal 1 binary32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 maxCos maxCos (+.f32 maxCos #s(literal 1 binary32)))) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 maxCos #s(literal 3 binary32)) (fma.f32 maxCos maxCos (+.f32 maxCos #s(literal 1 binary32)))) (/.f32 (pow.f32 maxCos #s(literal 3 binary32)) (fma.f32 maxCos maxCos (+.f32 maxCos #s(literal 1 binary32)))) (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 maxCos maxCos (+.f32 maxCos #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos maxCos (+.f32 maxCos #s(literal 1 binary32)))) (*.f32 (/.f32 (pow.f32 maxCos #s(literal 3 binary32)) (fma.f32 maxCos maxCos (+.f32 maxCos #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos maxCos (+.f32 maxCos #s(literal 1 binary32))))))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 maxCos maxCos #s(literal -1 binary32)))) (neg.f32 (neg.f32 (+.f32 maxCos #s(literal 1 binary32)))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 maxCos #s(literal 3 binary32)) #s(literal 1 binary32)))) (neg.f32 (neg.f32 (fma.f32 maxCos maxCos (+.f32 maxCos #s(literal 1 binary32))))))
(/.f32 (-.f32 (.f32 (.f32 maxCos maxCos) (+.f32 maxCos #s(literal 1 binary32))) (+.f32 maxCos #s(literal 1 binary32))) (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 (-.f32 (.f32 (pow.f32 maxCos #s(literal 3 binary32)) (fma.f32 maxCos maxCos (+.f32 maxCos #s(literal 1 binary32)))) (.f32 (fma.f32 maxCos maxCos (+.f32 maxCos #s(literal 1 binary32))) #s(literal 1 binary32))) (*.f32 (fma.f32 maxCos maxCos (+.f32 maxCos #s(literal 1 binary32))) (fma.f32 maxCos maxCos (+.f32 maxCos #s(literal 1 binary32)))))
(/.f32 (neg.f32 (fma.f32 maxCos maxCos #s(literal -1 binary32))) (neg.f32 (+.f32 maxCos #s(literal 1 binary32))))
(/.f32 (neg.f32 (-.f32 (pow.f32 maxCos #s(literal 3 binary32)) #s(literal 1 binary32))) (neg.f32 (fma.f32 maxCos maxCos (+.f32 maxCos #s(literal 1 binary32)))))
(/.f32 (fma.f32 maxCos maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal 1 binary32)))
(/.f32 (-.f32 (pow.f32 maxCos #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 maxCos maxCos (+.f32 maxCos #s(literal 1 binary32))))
(-.f32 (/.f32 (*.f32 maxCos maxCos) (+.f32 maxCos #s(literal 1 binary32))) (/.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 maxCos #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos maxCos (+.f32 maxCos #s(literal 1 binary32)))))
(-.f32 maxCos #s(literal 1 binary32))
(*.f32 (/.f32 ux (-.f32 (pow.f32 (fma.f32 ux ux ux) #s(literal 2 binary32)) #s(literal 1 binary32))) (-.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))
(*.f32 (/.f32 ux (+.f32 (pow.f32 (fma.f32 ux ux ux) #s(literal 3 binary32)) #s(literal 1 binary32))) (-.f32 (+.f32 (pow.f32 (fma.f32 ux ux ux) #s(literal 2 binary32)) #s(literal 1 binary32)) (fma.f32 ux ux ux)))
(/.f32 (neg.f32 (neg.f32 (neg.f32 ux))) (neg.f32 (neg.f32 (neg.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))))))
(/.f32 (neg.f32 (neg.f32 ux)) (neg.f32 (neg.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))))
(/.f32 (neg.f32 ux) (neg.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))))
(/.f32 ux (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))
(neg.f32 (/.f32 (neg.f32 ux) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))))
(neg.f32 (/.f32 ux (neg.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))))

eval24.0ms (0.6%)

Memory: 5.5MiB live, 50.6MiB allocated; 5ms collecting garbage
Compiler: Compiled 9 662 to 985 computations (89.8% saved)

prune6.0ms (0.1%)

Memory

24.7MiB live, 24.7MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	230	0	230
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	230	7	237

Accuracy

100.0%

Counts

237 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
✓	100.0%	#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))
✓	97.3%	#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (.f32 (/.f32 (.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) (/.f32 (.f32 ux ux) (+.f32 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))))))
✓	97.4%	#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (.f32 (.f32 ux ux) (/.f32 ux (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))))))
✓	98.5%	#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
✓	97.5%	#s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (- 1 ux) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)))
✓	72.9%	#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))

Compiler

Compiled 366 to 140 computations (61.7% saved)

regimes23.0ms (0.5%)

Memory

-25.2MiB live, 35.2MiB allocated; 16ms collecting garbage

Counts

13 → 1

Calls

Call 1

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

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

Calls

4 calls:

11.0ms	ux
4.0ms	uy
4.0ms	maxCos
4.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux 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)

regimes5.0ms (0.1%)

Memory

17.5MiB live, 17.5MiB 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	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
1.0ms	ux
1.0ms	maxCos
1.0ms	uy

Results

Accuracy	Segments	Branch
98.5%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
98.5%	1	`ux`
98.5%	1	`uy`
98.5%	1	`maxCos`

Compiler

Compiled 10 to 16 computations (-60% saved)

regimes4.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB 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	uy
1.0ms	ux

Results

Accuracy	Segments	Branch
72.9%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
72.9%	1	`ux`
72.9%	1	`uy`
72.9%	1	`maxCos`

Compiler

Compiled 10 to 16 computations (-60% saved)

simplify26.0ms (0.6%)

Memory

-13.4MiB live, 32.7MiB allocated; 10ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	34
1	25	34
2	47	34
3	69	34
4	99	34
5	134	34
6	180	34
7	304	34
8	542	34
9	754	34
10	778	34
11	803	34
12	827	34
13	836	34

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

derivations461.0ms (10.5%)

Memory

3.4MiB live, 340.5MiB allocated; 59ms 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	220	865
1	678	824
2	1985	791
3	7326	790
0	8905	755
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×	done
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 34 to 14 computations (58.8% saved)

preprocess18.0ms (0.4%)

Memory: -5.5MiB live, 38.0MiB allocated; 4ms collecting garbage
Remove: (abs uy)
Compiler: Compiled 110 to 64 computations (41.8% saved)

end0.0ms (0%)

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

Iter	Nodes	Cost
0	12	34
1	25	34
2	47	34
3	69	34
4	99	34
5	134	34
6	180	34
7	304	34
8	542	34
9	754	34
10	778	34
11	803	34
12	827	34
13	836	34

Iter	Nodes	Cost
0	12	34
1	25	34
2	47	34
3	69	34
4	99	34
5	134	34
6	180	34
7	304	34
8	542	34
9	754	34
10	778	34
11	803	34
12	827	34
13	836	34

start0.0ms (0%)

analyze77.0ms (1.8%)

sample1.3s (29%)

explain69.0ms (1.6%)

preprocess100.0ms (2.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify26.0ms (0.6%)

localize15.0ms (0.3%)

series4.0ms (0.1%)

simplify94.0ms (2.1%)

rewrite213.0ms (4.9%)

eval18.0ms (0.4%)

prune15.0ms (0.3%)

simplify22.0ms (0.5%)

localize55.0ms (1.2%)

series4.0ms (0.1%)

simplify119.0ms (2.7%)

rewrite242.0ms (5.5%)

eval46.0ms (1%)

prune5.0ms (0.1%)

simplify180.0ms (4.1%)

localize225.0ms (5.1%)

series18.0ms (0.4%)

simplify216.0ms (4.9%)

rewrite192.0ms (4.4%)

eval83.0ms (1.9%)

prune12.0ms (0.3%)

simplify92.0ms (2.1%)

localize60.0ms (1.4%)

series6.0ms (0.1%)

simplify163.0ms (3.7%)

rewrite179.0ms (4.1%)

eval24.0ms (0.6%)

prune6.0ms (0.1%)

regimes23.0ms (0.5%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

simplify26.0ms (0.6%)

derivations461.0ms (10.5%)

preprocess18.0ms (0.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	34
1	25	34
2	47	34
3	69	34
4	99	34
5	134	34
6	180	34
7	304	34
8	542	34
9	754	34
10	778	34
11	803	34
12	827	34
13	836	34