Metrics for UniformSampleCone, z

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

analyze129.0ms (2.8%)

Memory

11.9MiB live, 122.0MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 31 to 21 computations (32.3% saved)

sample1.0s (22.2%)

Memory

71.5MiB live, 1 399.0MiB allocated

Samples

695.0ms	8 181×	0	valid
9.0ms	75×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 466.0ms

const: 143.0ms (30.7% of total)

ival-<=: 123.0ms (26.4% of total)

ival-mult: 53.0ms (11.4% of total)

ival-sub: 53.0ms (11.4% of total)

ival-add: 49.0ms (10.5% of total)

ival-and: 32.0ms (6.9% of total)

exact: 8.0ms (1.7% of total)

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

adjust: 2.0ms (0.4% of total)

Bogosity

explain63.0ms (1.3%)

Memory

-25.7MiB live, 91.5MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

22.0ms	510×	0	valid
0.0ms	2×	1	valid

Compiler

Compiled 59 to 32 computations (45.8% saved)

Precisions

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

ival-add: 3.0ms (31.4% of total)

ival-sub: 3.0ms (31.4% of total)

ival-mult: 3.0ms (31.4% of total)

adjust: 0.0ms (0% of total)

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

exact: 0.0ms (0% of total)

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

preprocess61.0ms (1.3%)

Memory

21.7MiB live, 58.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	72
1	78	63
2	215	63
3	597	63
4	1317	63
5	1722	63
6	1860	63
7	1891	63
0	6	7
0	9	7
1	17	7
2	35	7
3	64	7
4	143	7
5	297	7
6	436	7
7	477	7
8	484	7
0	484	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
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))

Compiler

Compiled 7 to 7 computations (0% saved)

simplify18.0ms (0.4%)

Memory

-17.6MiB live, 19.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	9	16
1	17	16
2	35	16
3	64	16
4	143	16
5	297	16
6	436	16
7	477	16
8	484	16
0	484	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

localize16.0ms (0.3%)

Memory

23.9MiB live, 23.9MiB allocated

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	0.015625	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))

Samples

11.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 34 to 16 computations (52.9% saved)

Precisions

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

ival-mult: 2.0ms (43% of total)

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

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

adjust: 0.0ms (0% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

5.5MiB live, 5.6MiB allocated

Counts

3 → 15

Calls

Call 1

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

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

Calls

9 calls:

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

simplify141.0ms (3%)

Memory

-23.7MiB live, 88.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	70
1	110	70
2	322	70
3	927	70
4	2389	70
5	3686	70
6	4761	70
7	5807	70
8	7386	70
9	7923	70
0	8059	64

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

rewrite168.0ms (3.6%)

Memory

40.3MiB live, 192.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
0	9	13
1	42	13
2	343	13
3	5314	13
0	9014	12

Stop Event

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

Counts

3 → 311

Calls

Call 1

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

Outputs
(.f32 (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 2 binary32)))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(.f32 (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) (-.f32 (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (fma.f32 maxCos ux (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32))))
(.f32 (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 3 binary32)))) (fma.f32 (-.f32 ux (*.f32 maxCos ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))
(*.f32 (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(.f32 (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) (neg.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32))))) (neg.f32 (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 (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(.f32 (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32))) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32)) (pow.f32 (.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)))) (-.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) (*.f32 (fma.f32 ux ux ux) maxCos)))
(.f32 (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32))) (+.f32 (pow.f32 (.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #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 (-.f32 #s(literal 1 binary32) ux))) (-.f32 (.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))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))))
(*.f32 (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(.f32 (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos 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 (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 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 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(.f32 (-.f32 (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)))))
(.f32 (/.f32 #s(literal 1 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 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))
(.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 ux (*.f32 maxCos ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))))
(*.f32 (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
(.f32 (neg.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (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 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
(*.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(.f32 (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 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (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 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 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 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 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32))) (/.f32 #s(literal 1 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 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(/.f32 (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (/.f32 #s(literal 1 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 (.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (+.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 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 6 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (+.f32 (pow.f32 (.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))))
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(*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))
(/.f32 (exp.f32 (log.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)))) (exp.f32 (log.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)))))
(/.f32 (exp.f32 (log.f32 (+.f32 #s(literal -1 binary32) (pow.f32 ux #s(literal 3 binary32))))) (exp.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32)))))
(/.f32 (exp.f32 (log1p.f32 (*.f32 (neg.f32 ux) ux))) (-.f32 #s(literal 1 binary32) ux))
(/.f32 (exp.f32 (log1p.f32 (pow.f32 ux #s(literal 3 binary32)))) (exp.f32 (log1p.f32 (fma.f32 ux ux ux))))
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 ux ux)) (-.f32 #s(literal 1 binary32) (.f32 ux ux))) (/.f32 #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) (pow.f32 ux #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))) (fma.f32 ux ux #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))) (+.f32 (fma.f32 ux ux (pow.f32 ux #s(literal 4 binary32))) #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32))) (/.f32 #s(literal -1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 9 binary32))) (/.f32 #s(literal -1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32)))) (+.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32))) (pow.f32 ux #s(literal 3 binary32))))
(/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -2 binary32)) (pow.f32 (.f32 ux (/.f32 ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) (.f32 ux (/.f32 ux (-.f32 #s(literal 1 binary32) ux)))))
(/.f32 (-.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32)) #s(literal -2 binary32)) (pow.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32))) #s(literal 2 binary32))) (+.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 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 ux #s(literal 1 binary32)))
(/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32)))
(/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -3 binary32)) (.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -3 binary32)))) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -2 binary32)) (+.f32 (pow.f32 (.f32 ux (/.f32 ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)) (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) (.f32 ux (/.f32 ux (-.f32 #s(literal 1 binary32) ux)))))))
(/.f32 (-.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32)) #s(literal -3 binary32)) (.f32 (pow.f32 ux #s(literal 9 binary32)) (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32)) #s(literal -3 binary32)))) (+.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32)) #s(literal -2 binary32)) (+.f32 (pow.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32))) #s(literal 2 binary32)) (.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 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux))) (-.f32 #s(literal 1 binary32) ux))
(/.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32))))
(/.f32 (.f32 (+.f32 #s(literal -1 binary32) (.f32 ux ux)) #s(literal 1 binary32)) (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)))
(/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (pow.f32 ux #s(literal 3 binary32))) #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32)))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 ux ux)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32)))
(/.f32 (.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (.f32 ux ux))) (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)))
(/.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 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 ux ux))) (-.f32 #s(literal 1 binary32) ux))
(/.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 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 4 binary32))) #s(literal 1 binary32)) (.f32 (fma.f32 ux ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32))) #s(literal 1 binary32)) (.f32 (+.f32 (fma.f32 ux ux (pow.f32 ux #s(literal 4 binary32))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32))) #s(literal 1 binary32)) (.f32 (-.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 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 9 binary32))) #s(literal 1 binary32)) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32))) (pow.f32 ux #s(literal 3 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32))))
(/.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux ux))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(/.f32 (-.f32 (.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32))) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32)) (pow.f32 ux #s(literal 3 binary32)))) (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 4 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 (fma.f32 ux ux (pow.f32 ux #s(literal 4 binary32))) #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 9 binary32))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32))) (pow.f32 ux #s(literal 3 binary32)))))
(/.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)) (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)))
(/.f32 (+.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 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux))
(/.f32 (-.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 #s(literal 1 binary32) (exp.f32 (neg.f32 (log1p.f32 ux))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (/.f32 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 #s(literal 0 binary32) (-.f32 ux #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (neg.f32 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)))) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32)) (neg.f32 (/.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)) (neg.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32)))))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 4 binary32)))) (fma.f32 ux ux #s(literal 1 binary32)) (neg.f32 (*.f32 ux (/.f32 ux (-.f32 #s(literal 1 binary32) ux)))))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32)))) (+.f32 (fma.f32 ux ux (pow.f32 ux #s(literal 4 binary32))) #s(literal 1 binary32)) (neg.f32 (*.f32 ux (/.f32 ux (-.f32 #s(literal 1 binary32) ux)))))
(fma.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (neg.f32 (*.f32 ux (/.f32 ux (-.f32 #s(literal 1 binary32) ux)))))
(fma.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 9 binary32)))) (+.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32))) (pow.f32 ux #s(literal 3 binary32))) (neg.f32 (*.f32 ux (/.f32 ux (-.f32 #s(literal 1 binary32) ux)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 ux ux))) (-.f32 #s(literal 1 binary32) ux) (neg.f32 (.f32 ux (/.f32 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)) (neg.f32 (*.f32 ux (/.f32 ux (-.f32 #s(literal 1 binary32) ux)))))
(fma.f32 #s(literal -1 binary32) ux #s(literal 1 binary32))
(fma.f32 (neg.f32 ux) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (neg.f32 (*.f32 ux (/.f32 ux (-.f32 #s(literal 1 binary32) ux)))))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 ux ux))) (neg.f32 (.f32 ux (/.f32 ux (-.f32 #s(literal 1 binary32) ux)))))
(fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32))
(fma.f32 ux #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (*.f32 ux (/.f32 ux (-.f32 #s(literal 1 binary32) ux)))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32))) (neg.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32)))))
(fma.f32 #s(literal 1 binary32) (neg.f32 ux) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) ux #s(literal 1 binary32))
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) #s(literal -1 binary32))
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (*.f32 ux (/.f32 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))) (neg.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32)))))
(+.f32 (neg.f32 ux) #s(literal 1 binary32))
(+.f32 ux #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 ux)))
(+.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 (*.f32 (neg.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 (.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 (.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))
(exp.f32 (.f32 (log.f32 (.f32 maxCos ux)) #s(literal 1 binary32)))
(exp.f32 (log.f32 (*.f32 maxCos ux)))

eval31.0ms (0.7%)

Memory: 9.3MiB live, 78.8MiB allocated
Compiler: Compiled 5 938 to 782 computations (86.8% saved)

prune264.0ms (5.6%)

Memory

-26.8MiB live, 31.5MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	314	4	318
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	314	5	319

Accuracy

100.0%

Counts

319 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
▶	98.9%	(+.f32 (/.f32 (-.f32 (.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (.f32 ux maxCos))
✓	100.0%	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
▶	98.2%	#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
▶	73.2%	#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))

Compiler

Compiled 48 to 44 computations (8.3% saved)

simplify202.0ms (4.3%)

Memory

3.9MiB live, 163.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	88
0	29	88
1	58	88
2	102	85
3	215	85
4	473	73
5	1273	73
6	3313	73
7	5443	73
8	6875	73
9	7726	73
0	8010	68

Stop Event

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

Calls

Call 1

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

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

localize57.0ms (1.2%)

Memory

-4.7MiB live, 69.2MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f32 maxCos ux)
accuracy	0.0078125	(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
accuracy	0.03175501178494128	(-.f32 ux (*.f32 maxCos ux))
accuracy	0.0	(neg.f32 ux)
accuracy	0.015625	(+.f32 (/.f32 (-.f32 (.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (.f32 ux maxCos))
accuracy	0.020788781620653757	(-.f32 (*.f32 ux ux) #s(literal 1 binary32))
accuracy	0.3359375	(/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32)))
accuracy	0.0	(-.f32 #s(literal 1 binary32) ux)
accuracy	0.5644150368635132	#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
accuracy	8.587375658117583	#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))

Samples

26.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 172 to 39 computations (77.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-sub: 6.0ms (37% of total)

ival-mult: 4.0ms (24.7% of total)

ival-div: 2.0ms (12.3% of total)

ival-add: 2.0ms (12.3% of total)

ival-neg: 1.0ms (6.2% 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)

series7.0ms (0.2%)

Memory

14.1MiB live, 14.1MiB allocated

Counts

11 → 32

Calls

Call 1

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

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

Calls

9 calls:

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

simplify121.0ms (2.6%)

Memory

-3.0MiB live, 118.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	146
1	220	146
2	603	144
3	2231	144
4	6886	144
0	8238	133

Stop Event

1×	iter limit
1×	node limit

Counts

32 → 31

Calls

Call 1

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

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

rewrite186.0ms (4%)

Memory

-34.5MiB live, 257.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	73
0	29	73
1	145	59
2	1264	58
0	9213	53

Stop Event

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

Counts

11 → 1 176

Calls

Call 1

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

Outputs
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(*.f32 (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 ux ux #s(literal -1 binary32)))) (/.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux)))
(*.f32 (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 1 binary32)))) (/.f32 (-.f32 ux #s(literal 1 binary32)) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux))))
(*.f32 (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (/.f32 (-.f32 ux #s(literal 1 binary32)) (/.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 ux #s(literal 1 binary32)))))
(*.f32 (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (-.f32 ux #s(literal 1 binary32)))
(.f32 (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) (.f32 ux ux))) (/.f32 (-.f32 ux #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))))
(*.f32 (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (/.f32 (-.f32 ux #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 ux (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
(*.f32 (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) ux))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))
(*.f32 (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (/.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux)))
(*.f32 (/.f32 #s(literal -1 binary32) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 ux ux #s(literal -1 binary32)))) (-.f32 ux #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal -1 binary32) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 1 binary32)))) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux))))
(.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (.f32 ux ux))) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))))
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 ux (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
(*.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) ux))) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 ux ux #s(literal -1 binary32))))
(*.f32 (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux ux #s(literal -1 binary32))) (/.f32 (-.f32 ux #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) ux))))
(*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) ux))))
(*.f32 (/.f32 (fma.f32 ux ux #s(literal 1 binary32)) (-.f32 ux #s(literal 1 binary32))) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 ux ux #s(literal 1 binary32))))
(*.f32 (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) #s(literal -1 binary32)) (/.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 ux #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 1 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)))))
(*.f32 (/.f32 (-.f32 (pow.f32 ux #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)))))
(*.f32 (/.f32 (-.f32 (pow.f32 ux #s(literal 6 binary32)) #s(literal 1 binary32)) (-.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux #s(literal 1 binary32)) (pow.f32 ux #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 1 binary32))) (/.f32 (-.f32 ux #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 ux ux #s(literal -1 binary32)))) (/.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 ux #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 1 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal 1 binary32) (fma.f32 ux (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) ux))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) ux)))
(*.f32 (/.f32 (-.f32 (pow.f32 ux #s(literal 6 binary32)) #s(literal 1 binary32)) (fma.f32 ux ux #s(literal -1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux #s(literal 1 binary32)) (pow.f32 ux #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (/.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 ux #s(literal 1 binary32))))
(*.f32 (pow.f32 (/.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 (pow.f32 ux #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal 1 binary32))))
(*.f32 (pow.f32 (/.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 (pow.f32 ux #s(literal 6 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux #s(literal 1 binary32)) (pow.f32 ux #s(literal 4 binary32)))))
(*.f32 (/.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 ux #s(literal 1 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 ux #s(literal 1 binary32)))))
(*.f32 (/.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 ux #s(literal 1 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))
(*.f32 (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 ux ux #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) ux))
(*.f32 (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)))))
(*.f32 (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)))
(.f32 (.f32 (-.f32 (pow.f32 ux #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) ux))) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal 1 binary32))))
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(/.f32 (neg.f32 (-.f32 (.f32 ux ux) (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)))) (fma.f32 maxCos ux ux))
(/.f32 (neg.f32 (-.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (neg.f32 (fma.f32 ux ux (-.f32 (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)) (.f32 ux (.f32 (neg.f32 ux) maxCos))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (neg.f32 (neg.f32 (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux ux) (*.f32 ux ux)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux ux) (*.f32 ux ux))))
(/.f32 (neg.f32 (-.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux ux) (*.f32 ux ux)))
(/.f32 (-.f32 (.f32 ux ux) (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32))) (-.f32 ux (*.f32 (neg.f32 ux) maxCos)))
(/.f32 (-.f32 (.f32 ux ux) (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32))) (neg.f32 (fma.f32 maxCos ux ux)))
(/.f32 (-.f32 (.f32 ux ux) (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32))) (fma.f32 maxCos ux ux))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))))
(/.f32 (-.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32))) (fma.f32 ux ux (-.f32 (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)) (.f32 ux (.f32 (neg.f32 ux) maxCos)))))
(/.f32 (-.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32))) (neg.f32 (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux ux) (*.f32 ux ux))))
(/.f32 (-.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32))) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux ux) (*.f32 ux ux)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 maxCos ux ux) (.f32 #s(literal 1 binary32) (-.f32 (.f32 ux ux) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux ux) (.f32 ux ux)) (.f32 #s(literal 1 binary32) (-.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 ux (.f32 (neg.f32 ux) maxCos)) (-.f32 (.f32 ux ux) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 ux ux (-.f32 (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)) (.f32 ux (.f32 (neg.f32 ux) maxCos)))) (-.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 maxCos ux ux) (neg.f32 (-.f32 (.f32 ux ux) (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux ux) (.f32 ux ux)) (neg.f32 (-.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (fma.f32 maxCos ux ux)) (-.f32 (.f32 ux ux) (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux ux) (.f32 ux ux))) (-.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))))
(-.f32 (/.f32 (.f32 ux ux) (-.f32 ux (.f32 (neg.f32 ux) maxCos))) (/.f32 (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)) (-.f32 ux (.f32 (neg.f32 ux) maxCos))))
(-.f32 (/.f32 (.f32 ux ux) (neg.f32 (fma.f32 maxCos ux ux))) (/.f32 (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)) (neg.f32 (fma.f32 maxCos ux ux))))
(-.f32 (/.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 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux ux) (.f32 ux ux))) (/.f32 (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux ux) (*.f32 ux ux))))
(-.f32 #s(literal 0 binary32) (-.f32 ux (*.f32 maxCos ux)))
(-.f32 ux (*.f32 maxCos ux))
(fma.f32 (-.f32 #s(literal 0 binary32) (.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 0 binary32) ux)) (neg.f32 (.f32 (neg.f32 ux) maxCos)))
(fma.f32 (-.f32 #s(literal 0 binary32) (pow.f32 ux #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 0 binary32) (fma.f32 ux ux (.f32 #s(literal 0 binary32) ux)))) (neg.f32 (.f32 (neg.f32 ux) maxCos)))
(fma.f32 (neg.f32 maxCos) ux ux)
(fma.f32 #s(literal -1 binary32) (*.f32 maxCos ux) ux)
(fma.f32 #s(literal -1 binary32) ux (neg.f32 (*.f32 (neg.f32 ux) maxCos)))
(fma.f32 (neg.f32 ux) maxCos ux)
(fma.f32 (neg.f32 ux) #s(literal 1 binary32) (neg.f32 (*.f32 (neg.f32 ux) maxCos)))
(fma.f32 maxCos (neg.f32 ux) ux)
(fma.f32 ux (neg.f32 maxCos) ux)
(fma.f32 ux #s(literal -1 binary32) (neg.f32 (*.f32 (neg.f32 ux) maxCos)))
(fma.f32 ux #s(literal 1 binary32) (.f32 (.f32 (neg.f32 ux) maxCos) #s(literal 1 binary32)))
(fma.f32 ux #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (.f32 (neg.f32 ux) maxCos)))
(fma.f32 ux #s(literal 1 binary32) (*.f32 (neg.f32 ux) maxCos))
(fma.f32 #s(literal 1 binary32) (neg.f32 ux) (neg.f32 (*.f32 (neg.f32 ux) maxCos)))
(fma.f32 #s(literal 1 binary32) ux (.f32 (.f32 (neg.f32 ux) maxCos) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) ux (.f32 #s(literal 1 binary32) (.f32 (neg.f32 ux) maxCos)))
(fma.f32 #s(literal 1 binary32) ux (*.f32 (neg.f32 ux) maxCos))
(pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) #s(literal -1 binary32))
(+.f32 (*.f32 (neg.f32 ux) maxCos) ux)
(+.f32 (neg.f32 ux) (neg.f32 (*.f32 (neg.f32 ux) maxCos)))
(+.f32 ux (.f32 (.f32 (neg.f32 ux) maxCos) #s(literal 1 binary32)))
(+.f32 ux (.f32 #s(literal 1 binary32) (.f32 (neg.f32 ux) maxCos)))
(+.f32 ux (*.f32 (neg.f32 ux) maxCos))
(neg.f32 (-.f32 ux (*.f32 maxCos ux)))
(*.f32 maxCos ux)
(*.f32 ux maxCos)
(.f32 (-.f32 #s(literal 0 binary32) (.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 0 binary32) ux)))
(.f32 (-.f32 #s(literal 0 binary32) (pow.f32 ux #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 0 binary32) (fma.f32 ux ux (.f32 #s(literal 0 binary32) ux)))))
(*.f32 #s(literal -1 binary32) ux)
(*.f32 (neg.f32 ux) #s(literal 1 binary32))
(*.f32 ux #s(literal -1 binary32))
(*.f32 #s(literal 1 binary32) (neg.f32 ux))
(/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 ux #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (.f32 ux ux) (.f32 #s(literal 0 binary32) (neg.f32 ux)))))
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 ux ux))) (neg.f32 (+.f32 #s(literal 0 binary32) ux)))
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (pow.f32 ux #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(literal 0 binary32) (fma.f32 ux ux (*.f32 #s(literal 0 binary32) ux)))))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 ux ux)) (+.f32 #s(literal 0 binary32) ux))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 ux #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (fma.f32 ux ux (*.f32 #s(literal 0 binary32) ux))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 0 binary32) ux) (-.f32 #s(literal 0 binary32) (*.f32 ux ux))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 0 binary32) (fma.f32 ux ux (*.f32 #s(literal 0 binary32) ux))) (-.f32 #s(literal 0 binary32) (pow.f32 ux #s(literal 3 binary32)))))
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 #s(literal 0 binary32) ux)) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 0 binary32) ux)))
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 #s(literal 0 binary32) (fma.f32 ux ux (.f32 #s(literal 0 binary32) ux)))) (/.f32 (pow.f32 ux #s(literal 3 binary32)) (+.f32 #s(literal 0 binary32) (fma.f32 ux ux (.f32 #s(literal 0 binary32) ux)))))
(-.f32 #s(literal 0 binary32) ux)
(+.f32 #s(literal 0 binary32) (neg.f32 ux))
(neg.f32 ux)

eval97.0ms (2.1%)

Memory: 21.6MiB live, 95.9MiB allocated
Compiler: Compiled 17 806 to 2 174 computations (87.8% saved)

prune58.0ms (1.2%)

Memory

-0.9MiB live, 36.9MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	740	1	741
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	741	5	746

Accuracy

100.0%

Counts

746 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
✓	100.0%	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
▶	97.3%	#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (neg.f32 ux))))
✓	98.2%	#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
✓	73.2%	#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))

Compiler

Compiled 52 to 47 computations (9.6% saved)

simplify186.0ms (4%)

Memory

3.3MiB live, 151.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
cost-diff	0	#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (neg.f32 ux))))
cost-diff	64	(-.f32 #s(literal 1 binary32) (neg.f32 ux))
cost-diff	608	(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	44
0	17	44
1	36	41
2	70	41
3	177	41
4	476	41
5	919	29
6	1816	29
7	2765	29
8	5066	29
9	7356	29
0	8048	28

Stop Event

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

Calls

Call 1

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

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

localize25.0ms (0.5%)

Memory

21.6MiB live, 21.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f32 ux)
accuracy	0.020788781620653757	(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
accuracy	0.3359375	(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))
accuracy	0.5644150368635132	#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (neg.f32 ux))))

Samples

18.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 79 to 28 computations (64.6% saved)

Precisions

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

ival-sub: 4.0ms (36.2% of total)

ival-mult: 3.0ms (27.1% of total)

ival-div: 2.0ms (18.1% of total)

ival-add: 1.0ms (9% of total)

ival-neg: 1.0ms (9% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory

3.0MiB live, 3.0MiB allocated

Counts

5 → 21

Calls

Call 1

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

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

Calls

9 calls:

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

simplify140.0ms (3%)

Memory

-18.0MiB live, 141.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	93
1	133	91
2	355	91
3	1015	91
4	2746	91
5	4990	91
6	6839	91
0	8078	85

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 20

Calls

Call 1

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

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

rewrite242.0ms (5.2%)

Memory

10.8MiB live, 174.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	39
0	17	33
1	86	24
2	724	23
0	10231	21

Stop Event

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

Counts

5 → 797

Calls

Call 1

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

Outputs
(*.f32 (/.f32 (fma.f32 ux ux #s(literal 1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32))) (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) (fma.f32 ux ux (pow.f32 ux #s(literal 4 binary32)))))
(*.f32 (/.f32 (fma.f32 ux ux #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux))
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(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))))
(-.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (fma.f32 ux ux (pow.f32 ux #s(literal 4 binary32))))) (/.f32 (pow.f32 ux #s(literal 6 binary32)) (+.f32 #s(literal -1 binary32) (fma.f32 ux ux (pow.f32 ux #s(literal 4 binary32))))))
(-.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (/.f32 (pow.f32 ux #s(literal 4 binary32)) (fma.f32 ux ux #s(literal -1 binary32))))
(-.f32 #s(literal 0 binary32) (fma.f32 ux ux #s(literal -1 binary32)))
(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 ux #s(literal 4 binary32)))) (fma.f32 ux ux #s(literal -1 binary32)) (neg.f32 (/.f32 (pow.f32 ux #s(literal 4 binary32)) (fma.f32 ux ux #s(literal -1 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 ux #s(literal 6 binary32)))) (+.f32 #s(literal -1 binary32) (fma.f32 ux ux (pow.f32 ux #s(literal 4 binary32)))) (neg.f32 (/.f32 (pow.f32 ux #s(literal 4 binary32)) (fma.f32 ux ux #s(literal -1 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 ux ux (pow.f32 ux #s(literal 4 binary32))) #s(literal 3 binary32)))) (-.f32 (-.f32 #s(literal 1 binary32) (-.f32 (pow.f32 ux #s(literal 8 binary32)) (pow.f32 ux #s(literal 4 binary32)))) (fma.f32 ux ux (pow.f32 ux #s(literal 4 binary32)))) (neg.f32 (/.f32 (pow.f32 ux #s(literal 6 binary32)) (+.f32 #s(literal -1 binary32) (fma.f32 ux ux (pow.f32 ux #s(literal 4 binary32)))))))
(fma.f32 (/.f32 (fma.f32 ux ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 8 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 4 binary32))) (neg.f32 (/.f32 (pow.f32 ux #s(literal 4 binary32)) (fma.f32 ux ux #s(literal -1 binary32)))))
(fma.f32 (/.f32 (fma.f32 ux ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 12 binary32)))) (-.f32 #s(literal 1 binary32) (-.f32 (pow.f32 ux #s(literal 8 binary32)) (pow.f32 ux #s(literal 4 binary32)))) (neg.f32 (/.f32 (pow.f32 ux #s(literal 4 binary32)) (fma.f32 ux ux #s(literal -1 binary32)))))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (fma.f32 ux ux (pow.f32 ux #s(literal 4 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 12 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32))) (neg.f32 (/.f32 (pow.f32 ux #s(literal 4 binary32)) (fma.f32 ux ux #s(literal -1 binary32)))))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (fma.f32 ux ux (pow.f32 ux #s(literal 4 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 18 binary32)))) (+.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 12 binary32))) (pow.f32 ux #s(literal 6 binary32))) (neg.f32 (/.f32 (pow.f32 ux #s(literal 4 binary32)) (fma.f32 ux ux #s(literal -1 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 4 binary32)))) (fma.f32 ux ux #s(literal 1 binary32)) (neg.f32 (/.f32 (pow.f32 ux #s(literal 4 binary32)) (fma.f32 ux ux #s(literal -1 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 ux ux (pow.f32 ux #s(literal 4 binary32)))) (neg.f32 (/.f32 (pow.f32 ux #s(literal 4 binary32)) (fma.f32 ux ux #s(literal -1 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (-.f32 (pow.f32 ux #s(literal 8 binary32)) (pow.f32 ux #s(literal 4 binary32))))) (-.f32 #s(literal 1 binary32) (fma.f32 ux ux (pow.f32 ux #s(literal 4 binary32)))) (neg.f32 (/.f32 (pow.f32 ux #s(literal 6 binary32)) (+.f32 #s(literal -1 binary32) (fma.f32 ux ux (pow.f32 ux #s(literal 4 binary32)))))))
(fma.f32 (exp.f32 (log.f32 ux)) (exp.f32 (log.f32 ux)) #s(literal 1 binary32))
(fma.f32 #s(literal -1 binary32) (*.f32 ux ux) #s(literal 1 binary32))
(fma.f32 (-.f32 #s(literal 1 binary32) (fma.f32 ux ux (pow.f32 ux #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32)))) (neg.f32 (/.f32 (pow.f32 ux #s(literal 4 binary32)) (fma.f32 ux ux #s(literal -1 binary32)))))
(fma.f32 (fma.f32 ux ux #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 4 binary32)))) (neg.f32 (/.f32 (pow.f32 ux #s(literal 4 binary32)) (fma.f32 ux ux #s(literal -1 binary32)))))
(fma.f32 (*.f32 ux ux) #s(literal -1 binary32) #s(literal 1 binary32))
(fma.f32 (*.f32 ux ux) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 ux ux #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (fma.f32 ux ux (pow.f32 ux #s(literal 4 binary32))))) (neg.f32 (/.f32 (pow.f32 ux #s(literal 6 binary32)) (+.f32 #s(literal -1 binary32) (fma.f32 ux ux (pow.f32 ux #s(literal 4 binary32)))))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (neg.f32 (/.f32 (pow.f32 ux #s(literal 4 binary32)) (fma.f32 ux ux #s(literal -1 binary32)))))
(fma.f32 #s(literal 1 binary32) (*.f32 ux ux) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) #s(literal -1 binary32))
(+.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (fma.f32 ux ux (pow.f32 ux #s(literal 4 binary32))))) (neg.f32 (/.f32 (pow.f32 ux #s(literal 6 binary32)) (+.f32 #s(literal -1 binary32) (fma.f32 ux ux (pow.f32 ux #s(literal 4 binary32)))))))
(+.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (neg.f32 (/.f32 (pow.f32 ux #s(literal 4 binary32)) (fma.f32 ux ux #s(literal -1 binary32)))))
(+.f32 (*.f32 ux ux) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 ux ux))
(neg.f32 (fma.f32 ux ux #s(literal -1 binary32)))
(*.f32 (pow.f32 ux #s(literal 1/2 binary32)) (pow.f32 ux #s(literal 1/2 binary32)))
(*.f32 #s(literal -1 binary32) ux)
(*.f32 (pow.f32 ux #s(literal 3 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal 0 binary32))))
(.f32 (.f32 ux ux) (/.f32 #s(literal 1 binary32) ux))
(*.f32 ux #s(literal -1 binary32))
(*.f32 ux #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) ux)
(/.f32 (pow.f32 ux #s(literal 3 binary32)) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 ux ux) #s(literal 0 binary32))))
(/.f32 (pow.f32 ux #s(literal 3 binary32)) (neg.f32 (fma.f32 ux ux #s(literal 0 binary32))))
(/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 ux ux #s(literal 0 binary32)))
(/.f32 (*.f32 ux ux) ux)
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 ux ux #s(literal 0 binary32)) (pow.f32 ux #s(literal 3 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 ux (*.f32 ux ux)))
(-.f32 (/.f32 #s(literal 0 binary32) (fma.f32 ux ux #s(literal 0 binary32))) ux)
(-.f32 (/.f32 #s(literal 0 binary32) ux) ux)
(-.f32 #s(literal 0 binary32) ux)
(pow.f32 ux #s(literal 1 binary32))
(+.f32 #s(literal 0 binary32) ux)
(exp.f32 (*.f32 (log.f32 ux) #s(literal 1 binary32)))
(neg.f32 ux)
ux

eval63.0ms (1.3%)

Memory: 2.8MiB live, 111.1MiB allocated
Compiler: Compiled 13 166 to 1 427 computations (89.2% saved)

prune7.0ms (0.2%)

Memory

-5.7MiB live, 32.3MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	455	1	456
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	456	5	461

Accuracy

100.0%

Counts

461 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
✓	100.0%	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
▶	97.3%	#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(approx (- 1 (neg ux)) (-.f32 ux #s(literal -1 binary32)))))
✓	98.2%	#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
✓	73.2%	#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))

Compiler

Compiled 56 to 50 computations (10.7% saved)

simplify154.0ms (3.3%)

Memory

9.3MiB live, 99.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	58
0	19	58
1	39	55
2	72	55
3	181	55
4	482	55
5	904	55
6	1679	55
7	2477	55
8	3744	55
9	5208	55
10	6721	55
11	7699	55
0	8031	54

Stop Event

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

Calls

Call 1

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

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

localize33.0ms (0.7%)

Memory

-20.3MiB live, 50.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	#s(approx (- 1 (neg ux)) (-.f32 ux #s(literal -1 binary32)))
accuracy	0.020788781620653757	(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
accuracy	0.3359375	(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(approx (- 1 (neg ux)) (-.f32 ux #s(literal -1 binary32))))
accuracy	0.5644150368635132	#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(approx (- 1 (neg ux)) (-.f32 ux #s(literal -1 binary32)))))

Samples

20.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 95 to 33 computations (65.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-sub: 5.0ms (38.9% of total)

ival-mult: 3.0ms (23.4% of total)

ival-div: 2.0ms (15.6% of total)

ival-add: 1.0ms (7.8% of total)

ival-neg: 1.0ms (7.8% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

5 → 22

Calls

Call 1

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

Outputs
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* -1 ux))
(+ 1 (* -1 (pow ux 2)))
(pow ux 2)
(+ 1 ux)
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* -1 (pow ux 2))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
ux
(* ux (+ 1 (/ 1 ux)))
(* -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)
(* 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)) (- 1 (neg ux))) (- 1 (* ux ux)) (* ux ux) (- 1 (neg ux)))
1.0ms	ux	@	inf	((+ (- 1 ux) (* ux maxCos)) (/ (- 1 (* ux ux)) (- 1 (neg ux))) (- 1 (* ux ux)) (* ux ux) (- 1 (neg ux)))
1.0ms	ux	@	0	((+ (- 1 ux) (* ux maxCos)) (/ (- 1 (* ux ux)) (- 1 (neg ux))) (- 1 (* ux ux)) (* ux ux) (- 1 (neg ux)))
0.0ms	maxCos	@	-inf	((+ (- 1 ux) (* ux maxCos)) (/ (- 1 (* ux ux)) (- 1 (neg ux))) (- 1 (* ux ux)) (* ux ux) (- 1 (neg ux)))
0.0ms	maxCos	@	inf	((+ (- 1 ux) (* ux maxCos)) (/ (- 1 (* ux ux)) (- 1 (neg ux))) (- 1 (* ux ux)) (* ux ux) (- 1 (neg ux)))

simplify130.0ms (2.8%)

Memory

20.7MiB live, 168.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	96
1	133	94
2	354	94
3	1010	94
4	2725	94
5	4951	94
6	6810	94
0	8041	88

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 21

Calls

Call 1

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

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

rewrite162.0ms (3.5%)

Memory

13.3MiB live, 292.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	52
0	19	52
1	99	49
2	783	49
0	9816	45

Stop Event

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

Counts

5 → 372

Calls

Call 1

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

Outputs
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (fma.f32 ux ux #s(literal 1 binary32)) #s(approx (- 1 (neg ux)) (-.f32 ux #s(literal -1 binary32)))))
(*.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 4 binary32))) #s(approx (- 1 (neg ux)) (-.f32 ux #s(literal -1 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 ux ux (pow.f32 ux #s(literal 4 binary32)))))
(*.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 4 binary32))) #s(approx (- 1 (neg ux)) (-.f32 ux #s(literal -1 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 4 binary32)))) (fma.f32 ux ux #s(literal 1 binary32)))
(*.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32))) #s(approx (- 1 (neg ux)) (-.f32 ux #s(literal -1 binary32)))) (-.f32 #s(literal 1 binary32) (-.f32 (pow.f32 ux #s(literal 8 binary32)) (pow.f32 ux #s(literal 4 binary32))))) (-.f32 #s(literal 1 binary32) (fma.f32 ux ux (pow.f32 ux #s(literal 4 binary32)))))
(*.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32))) #s(approx (- 1 (neg ux)) (-.f32 ux #s(literal -1 binary32)))) (+.f32 (pow.f32 (fma.f32 ux ux (pow.f32 ux #s(literal 4 binary32))) #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 (fma.f32 ux ux (pow.f32 ux #s(literal 4 binary32))) (-.f32 (fma.f32 ux ux (pow.f32 ux #s(literal 4 binary32))) #s(literal 1 binary32)) #s(literal 1 binary32)))
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(fma.f32 (-.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux)) #s(literal 1 binary32)) (fma.f32 ux ux ux))
(fma.f32 (-.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal -1 binary32) (+.f32 (fma.f32 ux ux (pow.f32 ux #s(literal 4 binary32))) #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) (-.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux))) (fma.f32 ux ux ux))
(fma.f32 (-.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux)) (fma.f32 ux ux ux))
(fma.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux) (fma.f32 ux ux ux))
(fma.f32 #s(literal -1 binary32) (fma.f32 ux ux ux) (-.f32 ux #s(literal -1 binary32)))
(fma.f32 #s(literal -1 binary32) (*.f32 ux ux) #s(literal 1 binary32))
(fma.f32 (fma.f32 ux ux #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux)) ux) (-.f32 ux #s(literal -1 binary32)))
(fma.f32 (fma.f32 ux ux #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux)) #s(literal 1 binary32)) (fma.f32 ux ux ux))
(fma.f32 (fma.f32 ux ux #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 4 binary32)))) (neg.f32 (/.f32 (pow.f32 ux #s(literal 4 binary32)) (fma.f32 ux ux #s(literal -1 binary32)))))
(fma.f32 (fma.f32 ux ux #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux)) (fma.f32 ux ux ux))
(fma.f32 (*.f32 ux ux) #s(literal -1 binary32) #s(literal 1 binary32))
(fma.f32 (*.f32 ux ux) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (-.f32 ux #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal -1 binary32) ux) (-.f32 #s(literal -1 binary32) ux)) (fma.f32 ux ux ux))
(fma.f32 (-.f32 ux #s(literal -1 binary32)) (*.f32 (-.f32 #s(literal -1 binary32) ux) (/.f32 #s(literal -1 binary32) (-.f32 ux #s(literal -1 binary32)))) (fma.f32 ux ux ux))
(fma.f32 (-.f32 ux #s(literal -1 binary32)) ux (-.f32 ux #s(literal -1 binary32)))
(fma.f32 (-.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32) (fma.f32 ux ux ux))
(fma.f32 ux (-.f32 #s(literal -1 binary32) ux) (-.f32 ux #s(literal -1 binary32)))
(fma.f32 ux (-.f32 ux #s(literal -1 binary32)) (-.f32 ux #s(literal -1 binary32)))
(fma.f32 ux ux #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (neg.f32 (/.f32 (pow.f32 ux #s(literal 4 binary32)) (fma.f32 ux ux #s(literal -1 binary32)))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 (fma.f32 ux ux (pow.f32 ux #s(literal 4 binary32))) #s(literal -1 binary32))) (neg.f32 (/.f32 (pow.f32 ux #s(literal 6 binary32)) (+.f32 (fma.f32 ux ux (pow.f32 ux #s(literal 4 binary32))) #s(literal -1 binary32)))))
(fma.f32 #s(literal 1 binary32) (fma.f32 ux ux ux) (-.f32 ux #s(literal -1 binary32)))
(fma.f32 #s(literal 1 binary32) (*.f32 ux ux) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (-.f32 ux #s(literal -1 binary32)) (fma.f32 ux ux ux))
(pow.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) #s(literal -1 binary32))
(pow.f32 (-.f32 ux #s(literal -1 binary32)) #s(literal 2 binary32))
(+.f32 (+.f32 (-.f32 ux #s(literal -1 binary32)) ux) (*.f32 ux ux))
(+.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (neg.f32 (/.f32 (pow.f32 ux #s(literal 4 binary32)) (fma.f32 ux ux #s(literal -1 binary32)))))
(+.f32 (/.f32 #s(literal -1 binary32) (+.f32 (fma.f32 ux ux (pow.f32 ux #s(literal 4 binary32))) #s(literal -1 binary32))) (neg.f32 (/.f32 (pow.f32 ux #s(literal 6 binary32)) (+.f32 (fma.f32 ux ux (pow.f32 ux #s(literal 4 binary32))) #s(literal -1 binary32)))))
(+.f32 (fma.f32 ux ux ux) (-.f32 ux #s(literal -1 binary32)))
(+.f32 (-.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux) ux)
(+.f32 (*.f32 ux ux) #s(literal 1 binary32))
(+.f32 (-.f32 ux #s(literal -1 binary32)) (fma.f32 ux ux ux))
(+.f32 #s(literal 1 binary32) (*.f32 ux ux))
(exp.f32 (*.f32 (log1p.f32 ux) #s(literal 2 binary32)))
(neg.f32 (fma.f32 ux ux #s(literal -1 binary32)))
(*.f32 (exp.f32 (log.f32 ux)) (exp.f32 (log.f32 ux)))
(.f32 #s(literal -1 binary32) (.f32 ux ux))
(.f32 (.f32 ux ux) #s(literal -1 binary32))
(.f32 (.f32 ux ux) #s(literal 1 binary32))
(*.f32 ux ux)
(.f32 #s(literal 1 binary32) (.f32 ux ux))
(/.f32 (-.f32 (pow.f32 ux #s(literal 4 binary32)) #s(literal 0 binary32)) (-.f32 (*.f32 ux ux) #s(literal 0 binary32)))
(/.f32 (+.f32 (pow.f32 ux #s(literal 6 binary32)) #s(literal 0 binary32)) (+.f32 (pow.f32 ux #s(literal 4 binary32)) (-.f32 #s(literal 0 binary32) (.f32 (.f32 ux ux) #s(literal 0 binary32)))))
(/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 ux #s(literal 6 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (pow.f32 ux #s(literal 4 binary32)) (.f32 #s(literal 0 binary32) (.f32 ux ux)))))
(/.f32 (pow.f32 ux #s(literal 4 binary32)) (*.f32 ux ux))
(/.f32 (pow.f32 ux #s(literal 6 binary32)) (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 ux #s(literal 4 binary32)) (.f32 #s(literal 0 binary32) (.f32 ux ux)))))
(/.f32 (pow.f32 ux #s(literal 3 binary32)) ux)
(-.f32 #s(literal 0 binary32) (*.f32 ux ux))
(fma.f32 (exp.f32 (log.f32 ux)) (exp.f32 (log.f32 ux)) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) (*.f32 ux ux) #s(literal 0 binary32))
(fma.f32 (*.f32 ux ux) #s(literal -1 binary32) #s(literal 0 binary32))
(fma.f32 (*.f32 ux ux) #s(literal 1 binary32) #s(literal 0 binary32))
(fma.f32 ux ux #s(literal 0 binary32))
(fma.f32 #s(literal 1 binary32) (*.f32 ux ux) #s(literal 0 binary32))
(pow.f32 (exp.f32 (log.f32 ux)) #s(literal 2 binary32))
(pow.f32 (*.f32 ux ux) #s(literal 1 binary32))
(pow.f32 ux #s(literal 2 binary32))
(+.f32 #s(literal 0 binary32) (*.f32 ux ux))
(+.f32 (*.f32 ux ux) #s(literal 0 binary32))
(exp.f32 (log.f32 (*.f32 ux ux)))
(neg.f32 (*.f32 ux ux))
(*.f32 #s(approx (- 1 (neg ux)) (-.f32 ux #s(literal -1 binary32))) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (neg.f32 #s(approx (- 1 (neg ux)) (-.f32 ux #s(literal -1 binary32)))))
(*.f32 #s(literal 1 binary32) #s(approx (- 1 (neg ux)) (-.f32 ux #s(literal -1 binary32))))
#s(approx (- 1 (neg ux)) (-.f32 ux #s(literal -1 binary32)))
(/.f32 (neg.f32 #s(approx (- 1 (neg ux)) (-.f32 ux #s(literal -1 binary32)))) #s(literal -1 binary32))
(/.f32 #s(approx (- 1 (neg ux)) (-.f32 ux #s(literal -1 binary32))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (- 1 (neg ux)) (-.f32 ux #s(literal -1 binary32)))))
(-.f32 #s(literal 0 binary32) (neg.f32 #s(approx (- 1 (neg ux)) (-.f32 ux #s(literal -1 binary32)))))
(neg.f32 (neg.f32 #s(approx (- 1 (neg ux)) (-.f32 ux #s(literal -1 binary32)))))

eval41.0ms (0.9%)

Memory: -25.8MiB live, 101.3MiB allocated
Compiler: Compiled 13 103 to 1 425 computations (89.1% saved)

prune8.0ms (0.2%)

Memory

-11.5MiB live, 27.8MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	382	0	382
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	382	5	387

Accuracy

100.0%

Counts

387 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
✓	100.0%	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
✓	97.3%	#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(approx (- 1 (neg ux)) (-.f32 ux #s(literal -1 binary32)))))
✓	98.2%	#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
✓	73.2%	#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))

Compiler

Compiled 144 to 83 computations (42.4% saved)

regimes11.0ms (0.2%)

Memory

26.4MiB live, 26.4MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 10 to 16 computations (-60% saved)

regimes7.0ms (0.2%)

Memory

10.5MiB live, 10.5MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 10 to 16 computations (-60% saved)

regimes30.0ms (0.6%)

Memory

-28.8MiB live, 9.7MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

25.0ms	maxCos
1.0ms	uy
1.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
1.0ms	ux

Results

Accuracy	Segments	Branch
98.2%	1	`ux`
98.2%	1	`uy`
98.2%	1	`maxCos`
98.2%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`

Compiler

Compiled 10 to 16 computations (-60% saved)

regimes5.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
73.2%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
73.2%	1	`ux`
73.2%	1	`uy`
73.2%	1	`maxCos`

Compiler

Compiled 10 to 16 computations (-60% saved)

simplify131.0ms (2.8%)

Memory

9.4MiB live, 51.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	34
1	31	34
2	63	34
3	113	34
4	221	34
5	461	34
6	1007	34
7	4287	34
8	5381	34
9	7348	34

Stop Event

1×	node limit

Calls

Call 1

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

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

soundness611.0ms (13%)

Memory

3.7MiB live, 248.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
0	9	13
1	42	13
2	343	13
3	5314	13
0	9014	12
0	39	70
1	110	70
2	322	70
3	927	70
4	2389	70
5	3686	70
6	4761	70
7	5807	70
8	7386	70
9	7923	70
0	8059	64

Stop Event

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

Compiler

Compiled 59 to 37 computations (37.3% saved)

preprocess31.0ms (0.7%)

Memory: 1.4MiB live, 83.4MiB allocated
Remove: (abs uy)
Compiler: Compiled 110 to 74 computations (32.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze129.0ms (2.8%)

sample1.0s (22.2%)

explain63.0ms (1.3%)

preprocess61.0ms (1.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify18.0ms (0.4%)

localize16.0ms (0.3%)

series4.0ms (0.1%)

simplify141.0ms (3%)

rewrite168.0ms (3.6%)

eval31.0ms (0.7%)

prune264.0ms (5.6%)

simplify202.0ms (4.3%)

localize57.0ms (1.2%)

series7.0ms (0.2%)

simplify121.0ms (2.6%)

rewrite186.0ms (4%)

eval97.0ms (2.1%)

prune58.0ms (1.2%)

simplify186.0ms (4%)

localize25.0ms (0.5%)

series3.0ms (0.1%)

simplify140.0ms (3%)

rewrite242.0ms (5.2%)

eval63.0ms (1.3%)

prune7.0ms (0.2%)

simplify154.0ms (3.3%)

localize33.0ms (0.7%)

series3.0ms (0.1%)

simplify130.0ms (2.8%)

rewrite162.0ms (3.5%)

eval41.0ms (0.9%)

prune8.0ms (0.2%)

regimes11.0ms (0.2%)

regimes7.0ms (0.2%)

regimes30.0ms (0.6%)

regimes5.0ms (0.1%)

simplify131.0ms (2.8%)

soundness611.0ms (13%)

preprocess31.0ms (0.7%)

end0.0ms (0%)

Profiling