Metrics for UniformSampleCone, z

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze80.0ms (2%)

Memory

-11.8MiB live, 103.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 31 to 21 computations (32.3% saved)

sample1.0s (25.4%)

Memory

83.0MiB live, 1 409.1MiB allocated

Samples

682.0ms	8 170×	0	valid
12.0ms	86×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 494.0ms

const: 161.0ms (32.6% of total)

ival-<=: 130.0ms (26.3% of total)

ival-mult: 60.0ms (12.2% of total)

ival-sub: 53.0ms (10.7% of total)

ival-add: 42.0ms (8.5% of total)

ival-and: 33.0ms (6.7% of total)

exact: 9.0ms (1.8% of total)

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

adjust: 2.0ms (0.4% of total)

Bogosity

explain58.0ms (1.4%)

Memory

10.7MiB live, 91.6MiB 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

24.0ms	508×	0	valid
0.0ms	4×	1	valid

Compiler

Compiled 43 to 25 computations (41.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-sub: 5.0ms (42.2% of total)

ival-mult: 3.0ms (25.3% of total)

ival-add: 2.0ms (16.9% 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)

preprocess99.0ms (2.5%)

Memory

14.0MiB live, 51.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	70
1	75	68
2	156	68
3	246	66
4	320	63
5	437	63
6	654	63
7	1145	63
8	1556	63
9	1958	63
10	2234	63
11	2607	63
12	3106	63
13	3232	63
14	3245	63
15	3245	63
0	6	7
0	9	7
1	18	7
2	30	7
3	48	7
4	74	7
5	97	7
6	141	7
7	245	7
8	399	7
9	566	7
10	606	7
11	631	7
12	660	7
13	721	7
14	1005	7
15	1049	7
0	1049	6

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

Symmetry

(abs uy)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
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
▶	99.9%	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))

Compiler

Compiled 7 to 7 computations (0% saved)

simplify26.0ms (0.6%)

Memory

-24.3MiB live, 12.8MiB 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	1	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize15.0ms (0.4%)

Memory

23.4MiB live, 23.4MiB 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	0.01953125	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))

Samples

10.0ms	254×	0	valid
0.0ms	2×	1	valid

Compiler

Compiled 18 to 9 computations (50% saved)

Precisions

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

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

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

ival-mult: 1.0ms (22.5% 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

5.7MiB live, 5.7MiB 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))

simplify94.0ms (2.3%)

Memory

-4.0MiB live, 108.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 15

Calls

Call 1

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

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

rewrite489.0ms (12.2%)

Memory

-16.1MiB live, 267.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

3 → 192

Calls

Call 1

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

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

eval24.0ms (0.6%)

Memory: 5.5MiB live, 41.8MiB allocated
Compiler: Compiled 4 877 to 575 computations (88.2% saved)

prune3.0ms (0.1%)

Memory

12.5MiB live, 12.5MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	197	4	201
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	197	5	202

Accuracy

100.0%

Counts

202 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
✓	99.9%	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
▶	99.1%	(+.f32 #s(approx (- 1 ux) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)) (.f32 ux maxCos))
▶	97.9%	#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
▶	70.5%	#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))

Compiler

Compiled 49 to 45 computations (8.2% saved)

simplify32.0ms (0.8%)

Memory

-14.1MiB live, 23.4MiB 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	1	(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
cost-diff	0	(-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
cost-diff	0	(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)
cost-diff	0	#s(approx (- 1 ux) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux))
cost-diff	1	(+.f32 #s(approx (- 1 ux) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)) (.f32 ux maxCos))
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	18	91
0	27	91
1	43	91
2	61	91
3	90	91
4	127	91
5	167	91
6	292	91
7	497	91
8	693	91
9	733	91
10	758	91
11	787	91
12	848	91
13	1132	91
14	1176	91
0	1176	87

Stop Event

1×	iter limit
1×	saturated
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 #s(approx (- 1 ux) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)) (.f32 ux maxCos))
#s(approx (- 1 ux) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)
(-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
ux
(*.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 #s(approx (- 1 ux) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)) (.f32 ux maxCos))
(fma.f32 maxCos ux #s(approx (- 1 ux) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)))
#s(approx (- 1 ux) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)
(-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
ux
(*.f32 ux maxCos)
(*.f32 maxCos ux)
maxCos
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
#s(literal 1 binary32)
(-.f32 ux (*.f32 maxCos ux))
ux
(*.f32 maxCos ux)
maxCos

localize43.0ms (1.1%)

Memory

24.6MiB live, 61.3MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f32 maxCos ux)
accuracy	0.00390625	(-.f32 ux (*.f32 maxCos ux))
accuracy	0.0078125	(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
accuracy	0.0	#s(approx (- 1 ux) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux))
accuracy	0.0078125	(+.f32 #s(approx (- 1 ux) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)) (.f32 ux maxCos))
accuracy	0.06869125976844202	(-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
accuracy	0.2265625	(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)
accuracy	0.0	(-.f32 #s(literal 1 binary32) ux)
accuracy	0.5819903758105185	#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
accuracy	8.620572402330632	#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))

Samples

30.0ms	246×	0	valid
4.0ms	10×	5	exit

Compiler

Compiled 71 to 15 computations (78.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-sub: 5.0ms (34.7% of total)

ival-mult: 4.0ms (27.7% of total)

adjust: 2.0ms (13.9% of total)

ival-div: 2.0ms (13.9% of total)

ival-add: 1.0ms (6.9% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB allocated

Counts

10 → 26

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

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

Calls

9 calls:

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

simplify123.0ms (3.1%)

Memory

-6.4MiB live, 113.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	116
1	140	114
2	378	114
3	999	114
4	2474	114
5	4225	114
6	6298	114
0	8251	108

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 25

Calls

Call 1

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

rewrite212.0ms (5.3%)

Memory

-30.2MiB live, 267.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	76
0	27	76
1	118	76
2	829	76
0	8274	68

Stop Event

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

Counts

10 → 217

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

eval23.0ms (0.6%)

Memory: 12.5MiB live, 50.7MiB allocated
Compiler: Compiled 8 040 to 859 computations (89.3% saved)

prune5.0ms (0.1%)

Memory

-23.9MiB live, 15.1MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	225	2	227
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	225	7	232

Accuracy

100.0%

Counts

232 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
▶	99.9%	(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))
✓	99.9%	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
▶	98.6%	(+.f32 #s(approx (- 1 ux) (/.f32 (.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) ux) (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) (.f32 ux maxCos))
✓	99.1%	(+.f32 #s(approx (- 1 ux) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)) (.f32 ux maxCos))
✓	97.9%	#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
✓	70.5%	#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))

Compiler

Compiled 83 to 71 computations (14.5% saved)

simplify71.0ms (1.8%)

Memory

5.2MiB live, 46.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	116
0	31	116
1	46	116
2	63	116
3	85	116
4	115	116
5	158	116
6	279	116
7	573	116
8	961	116
9	984	116
10	1027	116
11	1348	113
12	1674	110
13	1721	108
14	1807	108
15	2340	108
16	2456	108
17	2552	108
18	2744	108
0	2744	107

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize60.0ms (1.5%)

Memory

13.6MiB live, 51.7MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f32 #s(literal 1 binary32) maxCos)
accuracy	0.0	#s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))
accuracy	0.0078125	(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))
accuracy	0.046875	(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
accuracy	0.03125	(+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
accuracy	0.03515625	(-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32))
accuracy	0.2265625	(*.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) ux)
accuracy	0.248378759768442	(/.f32 (*.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) ux) (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))

Samples

44.0ms	246×	0	valid
6.0ms	10×	5	exit

Compiler

Compiled 78 to 21 computations (73.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-div: 17.0ms (45% of total)

ival-sub: 6.0ms (15.9% of total)

ival-mult: 6.0ms (15.9% of total)

ival-pow: 4.0ms (10.6% of total)

ival-add: 3.0ms (7.9% of total)

adjust: 2.0ms (5.3% 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

6.5MiB live, 6.5MiB allocated

Counts

10 → 38

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	ux	@	-inf	((* (- (pow ux -2) 1) ux) (+ (- 1 ux) (* ux maxCos)) (- 1 ux) (/ (* (- (pow ux -2) 1) ux) (+ (/ 1 ux) 1)) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* (- 1 maxCos) ux) (- 1 maxCos) (- (pow ux -2) 1) (+ (/ 1 ux) 1))
1.0ms	ux	@	0	((* (- (pow ux -2) 1) ux) (+ (- 1 ux) (* ux maxCos)) (- 1 ux) (/ (* (- (pow ux -2) 1) ux) (+ (/ 1 ux) 1)) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* (- 1 maxCos) ux) (- 1 maxCos) (- (pow ux -2) 1) (+ (/ 1 ux) 1))
1.0ms	ux	@	inf	((* (- (pow ux -2) 1) ux) (+ (- 1 ux) (* ux maxCos)) (- 1 ux) (/ (* (- (pow ux -2) 1) ux) (+ (/ 1 ux) 1)) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* (- 1 maxCos) ux) (- 1 maxCos) (- (pow ux -2) 1) (+ (/ 1 ux) 1))
1.0ms	maxCos	@	-inf	((* (- (pow ux -2) 1) ux) (+ (- 1 ux) (* ux maxCos)) (- 1 ux) (/ (* (- (pow ux -2) 1) ux) (+ (/ 1 ux) 1)) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* (- 1 maxCos) ux) (- 1 maxCos) (- (pow ux -2) 1) (+ (/ 1 ux) 1))
0.0ms	maxCos	@	inf	((* (- (pow ux -2) 1) ux) (+ (- 1 ux) (* ux maxCos)) (- 1 ux) (/ (* (- (pow ux -2) 1) ux) (+ (/ 1 ux) 1)) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* (- 1 maxCos) ux) (- 1 maxCos) (- (pow ux -2) 1) (+ (/ 1 ux) 1))

simplify150.0ms (3.7%)

Memory

-2.4MiB live, 111.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	194
1	205	187
2	532	177
3	1410	177
4	3468	177
5	5663	177
6	8000	177
0	8031	171

Stop Event

1×	iter limit
1×	node limit

Counts

38 → 37

Calls

Call 1

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

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

rewrite226.0ms (5.6%)

Memory

17.3MiB live, 210.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	100
0	31	100
1	141	82
2	902	82
0	8365	78

Stop Event

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

Counts

10 → 333

Calls

Call 1

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

Outputs
(*.f32 (/.f32 ux (+.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal -2 binary32)))) (/.f32 (-.f32 (pow.f32 ux #s(literal -4 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))
(.f32 (.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) ux)
(.f32 (.f32 ux (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (expm1.f32 (neg.f32 (log.f32 ux))))
(*.f32 (neg.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32))) (neg.f32 ux))
(*.f32 (neg.f32 ux) (neg.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32))))
(.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux))
(.f32 (.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) ux) #s(literal 1 binary32))
(*.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 ux #s(literal 1 binary32)))
(*.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) ux)
(.f32 #s(literal 1 binary32) (.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) ux))
(.f32 ux (.f32 #s(literal 1 binary32) (-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32))))
(*.f32 ux (-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)))
(/.f32 (neg.f32 (*.f32 ux (-.f32 (pow.f32 ux #s(literal -4 binary32)) #s(literal 1 binary32)))) (fma.f32 #s(literal -1 binary32) (pow.f32 ux #s(literal -2 binary32)) #s(literal -1 binary32)))
(/.f32 (neg.f32 (*.f32 ux (-.f32 (pow.f32 ux #s(literal -6 binary32)) #s(literal 1 binary32)))) (neg.f32 (+.f32 (+.f32 (pow.f32 ux #s(literal -4 binary32)) #s(literal 1 binary32)) (pow.f32 ux #s(literal -2 binary32)))))
(/.f32 (neg.f32 (*.f32 (-.f32 (pow.f32 ux #s(literal -4 binary32)) #s(literal 1 binary32)) ux)) (fma.f32 #s(literal -1 binary32) (pow.f32 ux #s(literal -2 binary32)) #s(literal -1 binary32)))
(/.f32 (neg.f32 (*.f32 (-.f32 (pow.f32 ux #s(literal -6 binary32)) #s(literal 1 binary32)) ux)) (neg.f32 (+.f32 (+.f32 (pow.f32 ux #s(literal -4 binary32)) #s(literal 1 binary32)) (pow.f32 ux #s(literal -2 binary32)))))
(/.f32 (*.f32 ux (neg.f32 (-.f32 (pow.f32 ux #s(literal -4 binary32)) #s(literal 1 binary32)))) (fma.f32 #s(literal -1 binary32) (pow.f32 ux #s(literal -2 binary32)) #s(literal -1 binary32)))
(/.f32 (*.f32 ux (neg.f32 (-.f32 (pow.f32 ux #s(literal -6 binary32)) #s(literal 1 binary32)))) (neg.f32 (+.f32 (+.f32 (pow.f32 ux #s(literal -4 binary32)) #s(literal 1 binary32)) (pow.f32 ux #s(literal -2 binary32)))))
(/.f32 (*.f32 (neg.f32 (-.f32 (pow.f32 ux #s(literal -4 binary32)) #s(literal 1 binary32))) ux) (fma.f32 #s(literal -1 binary32) (pow.f32 ux #s(literal -2 binary32)) #s(literal -1 binary32)))
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(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)))
(/.f32 (neg.f32 (+.f32 (pow.f32 ux #s(literal -3 binary32)) #s(literal 1 binary32))) (neg.f32 (+.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux))))
(/.f32 (neg.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32))) (neg.f32 (expm1.f32 (neg.f32 (log.f32 ux)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 ux #s(literal -4 binary32)) #s(literal 1 binary32))) (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal -2 binary32))) (expm1.f32 (neg.f32 (log.f32 ux))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 ux #s(literal -6 binary32)) #s(literal 1 binary32))) (neg.f32 (*.f32 (+.f32 (+.f32 (pow.f32 ux #s(literal -4 binary32)) #s(literal 1 binary32)) (pow.f32 ux #s(literal -2 binary32))) (expm1.f32 (neg.f32 (log.f32 ux))))))
(/.f32 (-.f32 (pow.f32 ux #s(literal -4 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal -2 binary32))) (expm1.f32 (neg.f32 (log.f32 ux)))))
(/.f32 (-.f32 (pow.f32 ux #s(literal -6 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 (+.f32 (pow.f32 ux #s(literal -4 binary32)) #s(literal 1 binary32)) (pow.f32 ux #s(literal -2 binary32))) (expm1.f32 (neg.f32 (log.f32 ux)))))
(/.f32 (+.f32 (pow.f32 ux #s(literal -3 binary32)) #s(literal 1 binary32)) (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux)))))
(/.f32 (+.f32 (pow.f32 ux #s(literal -3 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux)))
(/.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) (neg.f32 (neg.f32 (expm1.f32 (neg.f32 (log.f32 ux))))))
(/.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) (expm1.f32 (neg.f32 (log.f32 ux))))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux))) (/.f32 (pow.f32 ux #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux))))
(-.f32 (/.f32 (pow.f32 ux #s(literal -4 binary32)) (.f32 (+.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal -2 binary32))) (expm1.f32 (neg.f32 (log.f32 ux))))) (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal -2 binary32))) (expm1.f32 (neg.f32 (log.f32 ux))))))
(-.f32 (/.f32 (pow.f32 ux #s(literal -6 binary32)) (.f32 (+.f32 (+.f32 (pow.f32 ux #s(literal -4 binary32)) #s(literal 1 binary32)) (pow.f32 ux #s(literal -2 binary32))) (expm1.f32 (neg.f32 (log.f32 ux))))) (/.f32 #s(literal 1 binary32) (.f32 (+.f32 (+.f32 (pow.f32 ux #s(literal -4 binary32)) #s(literal 1 binary32)) (pow.f32 ux #s(literal -2 binary32))) (expm1.f32 (neg.f32 (log.f32 ux))))))
(-.f32 (/.f32 (/.f32 (pow.f32 ux #s(literal -4 binary32)) (+.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))
(-.f32 (/.f32 (/.f32 (pow.f32 ux #s(literal -6 binary32)) (+.f32 (+.f32 (pow.f32 ux #s(literal -4 binary32)) #s(literal 1 binary32)) (pow.f32 ux #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (pow.f32 ux #s(literal -4 binary32)) #s(literal 1 binary32)) (pow.f32 ux #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))
(-.f32 (/.f32 (pow.f32 ux #s(literal -2 binary32)) (expm1.f32 (neg.f32 (log.f32 ux)))) (/.f32 #s(literal 1 binary32) (expm1.f32 (neg.f32 (log.f32 ux)))))
(-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) ux))
(fma.f32 (*.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal -1/2 binary32))) (pow.f32 ux #s(literal -1/2 binary32)) #s(literal 1 binary32))
(fma.f32 (neg.f32 (pow.f32 ux #s(literal -1/2 binary32))) (neg.f32 (pow.f32 ux #s(literal -1/2 binary32))) #s(literal 1 binary32))
(fma.f32 (fabs.f32 (pow.f32 ux #s(literal -1/2 binary32))) (fabs.f32 (pow.f32 ux #s(literal -1/2 binary32))) #s(literal 1 binary32))
(fma.f32 (pow.f32 ux #s(literal -1/2 binary32)) (*.f32 (pow.f32 ux #s(literal -1/2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (pow.f32 ux #s(literal -1/2 binary32)) (pow.f32 ux #s(literal -1/2 binary32)) #s(literal 1 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux))) (/.f32 (pow.f32 ux #s(literal -3 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux))))
(+.f32 (/.f32 (pow.f32 ux #s(literal -3 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux))))
(+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux))
(neg.f32 (+.f32 (/.f32 #s(literal -1 binary32) ux) #s(literal -1 binary32)))

eval42.0ms (1%)

Memory: 3.9MiB live, 79.2MiB allocated
Compiler: Compiled 13 148 to 1 705 computations (87% saved)

prune65.0ms (1.6%)

Memory

-23.4MiB live, 27.0MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	352	1	353
Fresh	0	0	0
Picked	1	1	2
Done	0	5	5
Total	353	7	360

Accuracy

100.0%

Counts

360 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
✓	99.9%	(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))
✓	99.9%	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
▶	99.4%	(+.f32 #s(approx (- 1 ux) (/.f32 #s(approx (* (- (pow ux -2) 1) ux) (-.f32 (/.f32 #s(literal 1 binary32) ux) ux)) (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) (*.f32 ux maxCos))
✓	99.1%	(+.f32 #s(approx (- 1 ux) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)) (.f32 ux maxCos))
✓	97.9%	#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
✓	70.5%	#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))

Compiler

Compiled 89 to 73 computations (18% saved)

simplify5.0ms (0.1%)

Memory

3.2MiB live, 3.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	101
0	22	101
1	31	101
2	39	101
3	50	101
4	65	101
5	73	101
6	81	101
7	86	101
0	86	100

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize63.0ms (1.6%)

Memory

0.9MiB live, 38.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(+.f32 #s(approx (- 1 ux) (/.f32 #s(approx (* (- (pow ux -2) 1) ux) (-.f32 (/.f32 #s(literal 1 binary32) ux) ux)) (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) (*.f32 ux maxCos))
accuracy	0.03125	(+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
accuracy	0.12337875976844202	(-.f32 (/.f32 #s(literal 1 binary32) ux) ux)
accuracy	0.248378759768442	(/.f32 #s(approx (* (- (pow ux -2) 1) ux) (-.f32 (/.f32 #s(literal 1 binary32) ux) ux)) (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))

Samples

49.0ms	246×	0	valid
5.0ms	10×	5	exit

Compiler

Compiled 51 to 17 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 30.0ms (65% of total)

ival-div: 4.0ms (8.7% of total)

ival-sub: 4.0ms (8.7% of total)

ival-pow: 3.0ms (6.5% of total)

ival-add: 3.0ms (6.5% of total)

adjust: 2.0ms (4.3% 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

5.6MiB live, 5.6MiB allocated

Counts

6 → 21

Calls

Call 1

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

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

simplify120.0ms (3%)

Memory

-1.8MiB live, 113.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	118
1	142	116
2	362	112
3	936	112
4	3277	112
5	7056	112
0	8203	106

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 21

Calls

Call 1

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

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

rewrite215.0ms (5.3%)

Memory

11.9MiB live, 233.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	92
0	22	92
1	101	92
2	650	92
3	6983	92
0	8030	91

Stop Event

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

Counts

6 → 206

Calls

Call 1

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

Outputs
(.f32 (/.f32 (-.f32 (pow.f32 #s(approx (- 1 ux) (/.f32 #s(approx ( (- (pow ux -2) 1) ux) (-.f32 (/.f32 #s(literal 1 binary32) ux) ux)) (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) #s(literal 2 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32))) (-.f32 (pow.f32 #s(approx (- 1 ux) (/.f32 #s(approx ( (- (pow ux -2) 1) ux) (-.f32 (/.f32 #s(literal 1 binary32) ux) ux)) (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux #s(approx (- 1 ux) (/.f32 #s(approx (* (- (pow ux -2) 1) ux) (-.f32 (/.f32 #s(literal 1 binary32) ux) ux)) (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))) (pow.f32 #s(approx (- 1 ux) (/.f32 #s(approx (* (- (pow ux -2) 1) ux) (-.f32 (/.f32 #s(literal 1 binary32) ux) ux)) (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) #s(literal 2 binary32))))
(.f32 (/.f32 (-.f32 (pow.f32 #s(approx (- 1 ux) (/.f32 #s(approx ( (- (pow ux -2) 1) ux) (-.f32 (/.f32 #s(literal 1 binary32) ux) ux)) (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) #s(literal 2 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32))) (-.f32 (pow.f32 #s(approx (- 1 ux) (/.f32 #s(approx ( (- (pow ux -2) 1) ux) (-.f32 (/.f32 #s(literal 1 binary32) ux) ux)) (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) #s(literal 2 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)))) (fma.f32 maxCos ux #s(approx (- 1 ux) (/.f32 #s(approx ( (- (pow ux -2) 1) ux) (-.f32 (/.f32 #s(literal 1 binary32) ux) ux)) (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))))
(.f32 (/.f32 (+.f32 (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 #s(approx (- 1 ux) (/.f32 #s(approx (* (- (pow ux -2) 1) ux) (-.f32 (/.f32 #s(literal 1 binary32) ux) ux)) (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) #s(literal 3 binary32))) (-.f32 (pow.f32 #s(approx (- 1 ux) (/.f32 #s(approx (* (- (pow ux -2) 1) ux) (-.f32 (/.f32 #s(literal 1 binary32) ux) ux)) (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) #s(literal 4 binary32)) (pow.f32 (.f32 (-.f32 (.f32 maxCos ux) #s(approx (- 1 ux) (/.f32 #s(approx (* (- (pow ux -2) 1) ux) (-.f32 (/.f32 #s(literal 1 binary32) ux) ux)) (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))) (.f32 maxCos ux)) #s(literal 2 binary32)))) (-.f32 (pow.f32 #s(approx (- 1 ux) (/.f32 #s(approx ( (- (pow ux -2) 1) ux) (-.f32 (/.f32 #s(literal 1 binary32) ux) ux)) (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) #s(literal 2 binary32)) (.f32 (-.f32 (.f32 maxCos ux) #s(approx (- 1 ux) (/.f32 #s(approx (* (- (pow ux -2) 1) ux) (-.f32 (/.f32 #s(literal 1 binary32) ux) ux)) (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))) (*.f32 maxCos ux))))
(.f32 (/.f32 (+.f32 (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 #s(approx (- 1 ux) (/.f32 #s(approx (* (- (pow ux -2) 1) ux) (-.f32 (/.f32 #s(literal 1 binary32) ux) ux)) (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (.f32 (-.f32 (.f32 maxCos ux) #s(approx (- 1 ux) (/.f32 #s(approx (* (- (pow ux -2) 1) ux) (-.f32 (/.f32 #s(literal 1 binary32) ux) ux)) (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))) (.f32 maxCos ux)) #s(literal 3 binary32)) (pow.f32 #s(approx (- 1 ux) (/.f32 #s(approx ( (- (pow ux -2) 1) ux) (-.f32 (/.f32 #s(literal 1 binary32) ux) ux)) (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) #s(literal 6 binary32)))) (fma.f32 (.f32 (-.f32 (.f32 maxCos ux) #s(approx (- 1 ux) (/.f32 #s(approx (* (- (pow ux -2) 1) ux) (-.f32 (/.f32 #s(literal 1 binary32) ux) ux)) (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))) (.f32 maxCos ux)) (-.f32 (.f32 (-.f32 (.f32 maxCos ux) #s(approx (- 1 ux) (/.f32 #s(approx ( (- (pow ux -2) 1) ux) (-.f32 (/.f32 #s(literal 1 binary32) ux) ux)) (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))) (.f32 maxCos ux)) (pow.f32 #s(approx (- 1 ux) (/.f32 #s(approx ( (- (pow ux -2) 1) ux) (-.f32 (/.f32 #s(literal 1 binary32) ux) ux)) (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) #s(literal 2 binary32))) (pow.f32 #s(approx (- 1 ux) (/.f32 #s(approx (* (- (pow ux -2) 1) ux) (-.f32 (/.f32 #s(literal 1 binary32) ux) ux)) (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) #s(literal 4 binary32))))
(.f32 (fma.f32 (-.f32 (.f32 maxCos ux) #s(approx (- 1 ux) (/.f32 #s(approx (* (- (pow ux -2) 1) ux) (-.f32 (/.f32 #s(literal 1 binary32) ux) ux)) (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))) (.f32 maxCos ux) (pow.f32 #s(approx (- 1 ux) (/.f32 #s(approx ( (- (pow ux -2) 1) ux) (-.f32 (/.f32 #s(literal 1 binary32) ux) ux)) (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) #s(literal 2 binary32))) (/.f32 (fma.f32 maxCos ux #s(approx (- 1 ux) (/.f32 #s(approx (* (- (pow ux -2) 1) ux) (-.f32 (/.f32 #s(literal 1 binary32) ux) ux)) (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))) (fma.f32 (-.f32 (.f32 maxCos ux) #s(approx (- 1 ux) (/.f32 #s(approx ( (- (pow ux -2) 1) ux) (-.f32 (/.f32 #s(literal 1 binary32) ux) ux)) (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))) (.f32 maxCos ux) (pow.f32 #s(approx (- 1 ux) (/.f32 #s(approx ( (- (pow ux -2) 1) ux) (-.f32 (/.f32 #s(literal 1 binary32) ux) ux)) (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) #s(literal 2 binary32)))))
(.f32 (fma.f32 maxCos ux #s(approx (- 1 ux) (/.f32 #s(approx ( (- (pow ux -2) 1) ux) (-.f32 (/.f32 #s(literal 1 binary32) ux) ux)) (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))) (/.f32 (-.f32 #s(approx (- 1 ux) (/.f32 #s(approx (* (- (pow ux -2) 1) ux) (-.f32 (/.f32 #s(literal 1 binary32) ux) ux)) (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) (.f32 maxCos ux)) (-.f32 #s(approx (- 1 ux) (/.f32 #s(approx ( (- (pow ux -2) 1) ux) (-.f32 (/.f32 #s(literal 1 binary32) ux) ux)) (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) (*.f32 maxCos ux))))
(/.f32 (-.f32 (.f32 (/.f32 (pow.f32 #s(approx (- 1 ux) (/.f32 #s(approx ( (- (pow ux -2) 1) ux) (-.f32 (/.f32 #s(literal 1 binary32) ux) ux)) (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) #s(literal 2 binary32)) (-.f32 #s(approx (- 1 ux) (/.f32 #s(approx (* (- (pow ux -2) 1) ux) (-.f32 (/.f32 #s(literal 1 binary32) ux) ux)) (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) (.f32 maxCos ux))) (/.f32 (pow.f32 #s(approx (- 1 ux) (/.f32 #s(approx ( (- (pow ux -2) 1) ux) (-.f32 (/.f32 #s(literal 1 binary32) ux) ux)) (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) #s(literal 2 binary32)) (-.f32 #s(approx (- 1 ux) (/.f32 #s(approx (* (- (pow ux -2) 1) ux) (-.f32 (/.f32 #s(literal 1 binary32) ux) ux)) (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) (.f32 maxCos ux)))) (.f32 (/.f32 (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)) (-.f32 #s(approx (- 1 ux) (/.f32 #s(approx ( (- (pow ux -2) 1) ux) (-.f32 (/.f32 #s(literal 1 binary32) ux) ux)) (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) (.f32 maxCos ux))) (/.f32 (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)) (-.f32 #s(approx (- 1 ux) (/.f32 #s(approx (* (- (pow ux -2) 1) ux) (-.f32 (/.f32 #s(literal 1 binary32) ux) ux)) (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) (.f32 maxCos ux))))) (+.f32 (/.f32 (pow.f32 #s(approx (- 1 ux) (/.f32 #s(approx ( (- (pow ux -2) 1) ux) (-.f32 (/.f32 #s(literal 1 binary32) ux) ux)) (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) #s(literal 2 binary32)) (-.f32 #s(approx (- 1 ux) (/.f32 #s(approx (* (- (pow ux -2) 1) ux) (-.f32 (/.f32 #s(literal 1 binary32) ux) ux)) (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) (.f32 maxCos ux))) (/.f32 (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)) (-.f32 #s(approx (- 1 ux) (/.f32 #s(approx (* (- (pow ux -2) 1) ux) (-.f32 (/.f32 #s(literal 1 binary32) ux) ux)) (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) (*.f32 maxCos ux)))))
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(/.f32 (-.f32 (.f32 (/.f32 (pow.f32 ux #s(literal -3 binary32)) (+.f32 (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux) #s(literal 1 binary32))) (/.f32 (pow.f32 ux #s(literal -3 binary32)) (+.f32 (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux) #s(literal 1 binary32)))) (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux) #s(literal 1 binary32))))) (-.f32 (/.f32 (pow.f32 ux #s(literal -3 binary32)) (+.f32 (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux) #s(literal 1 binary32)))))
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 ux #s(literal -2 binary32)) (expm1.f32 (neg.f32 (log.f32 ux)))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (neg.f32 (log.f32 ux)))) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 ux #s(literal -2 binary32)) (expm1.f32 (neg.f32 (log.f32 ux)))) (/.f32 (pow.f32 ux #s(literal -2 binary32)) (expm1.f32 (neg.f32 (log.f32 ux)))) (fma.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (neg.f32 (log.f32 ux)))) (/.f32 #s(literal 1 binary32) (expm1.f32 (neg.f32 (log.f32 ux)))) (*.f32 (/.f32 (pow.f32 ux #s(literal -2 binary32)) (expm1.f32 (neg.f32 (log.f32 ux)))) (/.f32 #s(literal 1 binary32) (expm1.f32 (neg.f32 (log.f32 ux))))))))
(/.f32 (+.f32 (pow.f32 (/.f32 (pow.f32 ux #s(literal -3 binary32)) (+.f32 (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux) #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux) #s(literal 1 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 ux #s(literal -3 binary32)) (+.f32 (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux) #s(literal 1 binary32))) (/.f32 (pow.f32 ux #s(literal -3 binary32)) (+.f32 (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux) #s(literal 1 binary32))) (-.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux) #s(literal 1 binary32)))) (.f32 (/.f32 (pow.f32 ux #s(literal -3 binary32)) (+.f32 (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux) #s(literal 1 binary32)))))))
(/.f32 (neg.f32 (neg.f32 (+.f32 (pow.f32 ux #s(literal -3 binary32)) #s(literal 1 binary32)))) (neg.f32 (neg.f32 (+.f32 (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (neg.f32 (+.f32 (pow.f32 ux #s(literal -3 binary32)) #s(literal 1 binary32)))) (+.f32 (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux) #s(literal 1 binary32)))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal -2 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux))))
(/.f32 (-.f32 (.f32 (pow.f32 ux #s(literal -2 binary32)) (expm1.f32 (neg.f32 (log.f32 ux)))) (.f32 (expm1.f32 (neg.f32 (log.f32 ux))) #s(literal 1 binary32))) (*.f32 (expm1.f32 (neg.f32 (log.f32 ux))) (expm1.f32 (neg.f32 (log.f32 ux)))))
(/.f32 (fma.f32 (pow.f32 ux #s(literal -3 binary32)) (+.f32 (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux) #s(literal 1 binary32)) (.f32 (+.f32 (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux) #s(literal 1 binary32)) #s(literal 1 binary32))) (.f32 (+.f32 (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux) #s(literal 1 binary32)) (+.f32 (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux) #s(literal 1 binary32))))
(/.f32 (-.f32 (pow.f32 ux #s(literal -8 binary32)) #s(literal 1 binary32)) (.f32 (+.f32 (pow.f32 ux #s(literal -4 binary32)) #s(literal 1 binary32)) (.f32 (+.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) (expm1.f32 (neg.f32 (log.f32 ux))))))
(/.f32 (-.f32 (pow.f32 ux #s(literal -12 binary32)) #s(literal 1 binary32)) (.f32 (+.f32 (+.f32 (pow.f32 ux #s(literal -8 binary32)) #s(literal 1 binary32)) (pow.f32 ux #s(literal -4 binary32))) (.f32 (+.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) (expm1.f32 (neg.f32 (log.f32 ux))))))
(/.f32 (-.f32 (pow.f32 ux #s(literal -12 binary32)) #s(literal 1 binary32)) (.f32 (+.f32 (pow.f32 ux #s(literal -6 binary32)) #s(literal 1 binary32)) (.f32 (expm1.f32 (neg.f32 (log.f32 ux))) (+.f32 (+.f32 (pow.f32 ux #s(literal -4 binary32)) #s(literal 1 binary32)) (pow.f32 ux #s(literal -2 binary32))))))
(/.f32 (-.f32 (pow.f32 ux #s(literal -18 binary32)) #s(literal 1 binary32)) (.f32 (+.f32 (+.f32 (pow.f32 ux #s(literal -12 binary32)) #s(literal 1 binary32)) (pow.f32 ux #s(literal -6 binary32))) (.f32 (expm1.f32 (neg.f32 (log.f32 ux))) (+.f32 (+.f32 (pow.f32 ux #s(literal -4 binary32)) #s(literal 1 binary32)) (pow.f32 ux #s(literal -2 binary32))))))
(/.f32 (+.f32 (pow.f32 ux #s(literal -9 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 (+.f32 (pow.f32 ux #s(literal -6 binary32)) #s(literal 1 binary32)) (pow.f32 ux #s(literal -3 binary32))) (+.f32 (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux) #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)))
(/.f32 (neg.f32 (+.f32 (pow.f32 ux #s(literal -3 binary32)) #s(literal 1 binary32))) (neg.f32 (+.f32 (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux) #s(literal 1 binary32))))
(/.f32 (neg.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32))) (neg.f32 (expm1.f32 (neg.f32 (log.f32 ux)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 ux #s(literal -4 binary32)) #s(literal 1 binary32))) (*.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 ux #s(literal -2 binary32)) #s(literal -1 binary32)) (expm1.f32 (neg.f32 (log.f32 ux)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 ux #s(literal -4 binary32)) #s(literal 1 binary32))) (neg.f32 (*.f32 (+.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) (expm1.f32 (neg.f32 (log.f32 ux))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 ux #s(literal -6 binary32)) #s(literal 1 binary32))) (*.f32 (neg.f32 (+.f32 (+.f32 (pow.f32 ux #s(literal -4 binary32)) #s(literal 1 binary32)) (pow.f32 ux #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 ux #s(literal -6 binary32)) #s(literal 1 binary32))) (neg.f32 (*.f32 (expm1.f32 (neg.f32 (log.f32 ux))) (+.f32 (+.f32 (pow.f32 ux #s(literal -4 binary32)) #s(literal 1 binary32)) (pow.f32 ux #s(literal -2 binary32))))))
(/.f32 (-.f32 (pow.f32 ux #s(literal -4 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) (expm1.f32 (neg.f32 (log.f32 ux)))))
(/.f32 (-.f32 (pow.f32 ux #s(literal -6 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 (pow.f32 ux #s(literal -3 binary32)) #s(literal 1 binary32)) (+.f32 (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux) #s(literal 1 binary32))))
(/.f32 (-.f32 (pow.f32 ux #s(literal -6 binary32)) #s(literal 1 binary32)) (*.f32 (expm1.f32 (neg.f32 (log.f32 ux))) (+.f32 (+.f32 (pow.f32 ux #s(literal -4 binary32)) #s(literal 1 binary32)) (pow.f32 ux #s(literal -2 binary32)))))
(/.f32 (+.f32 (pow.f32 ux #s(literal -3 binary32)) #s(literal 1 binary32)) (neg.f32 (neg.f32 (+.f32 (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux) #s(literal 1 binary32)))))
(/.f32 (+.f32 (pow.f32 ux #s(literal -3 binary32)) #s(literal 1 binary32)) (+.f32 (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux) #s(literal 1 binary32)))
(/.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) (neg.f32 (neg.f32 (expm1.f32 (neg.f32 (log.f32 ux))))))
(/.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) (expm1.f32 (neg.f32 (log.f32 ux))))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux))) (/.f32 (pow.f32 ux #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux))))
(-.f32 (/.f32 (pow.f32 ux #s(literal -4 binary32)) (.f32 (+.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) (expm1.f32 (neg.f32 (log.f32 ux))))) (/.f32 #s(literal 1 binary32) (.f32 (+.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) (expm1.f32 (neg.f32 (log.f32 ux))))))
(-.f32 (/.f32 (pow.f32 ux #s(literal -6 binary32)) (.f32 (expm1.f32 (neg.f32 (log.f32 ux))) (+.f32 (+.f32 (pow.f32 ux #s(literal -4 binary32)) #s(literal 1 binary32)) (pow.f32 ux #s(literal -2 binary32))))) (/.f32 #s(literal 1 binary32) (.f32 (expm1.f32 (neg.f32 (log.f32 ux))) (+.f32 (+.f32 (pow.f32 ux #s(literal -4 binary32)) #s(literal 1 binary32)) (pow.f32 ux #s(literal -2 binary32))))))
(-.f32 (/.f32 (/.f32 (pow.f32 ux #s(literal -4 binary32)) (+.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32))) (expm1.f32 (neg.f32 (log.f32 ux)))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32))) (expm1.f32 (neg.f32 (log.f32 ux)))))
(-.f32 (/.f32 (/.f32 (pow.f32 ux #s(literal -6 binary32)) (+.f32 (+.f32 (pow.f32 ux #s(literal -4 binary32)) #s(literal 1 binary32)) (pow.f32 ux #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (pow.f32 ux #s(literal -4 binary32)) #s(literal 1 binary32)) (pow.f32 ux #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))
(-.f32 (/.f32 (pow.f32 ux #s(literal -2 binary32)) (expm1.f32 (neg.f32 (log.f32 ux)))) (/.f32 #s(literal 1 binary32) (expm1.f32 (neg.f32 (log.f32 ux)))))
(-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) ux))
(fma.f32 (/.f32 (pow.f32 ux #s(literal -3 binary32)) (-.f32 (pow.f32 ux #s(literal -4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (-.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) ux)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux) #s(literal 1 binary32))))
(fma.f32 (/.f32 (pow.f32 ux #s(literal -3 binary32)) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) #s(literal 3 binary32)) (pow.f32 ux #s(literal -6 binary32)))) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) (pow.f32 ux #s(literal -2 binary32))) (pow.f32 ux #s(literal -4 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux) #s(literal 1 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 ux #s(literal -4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (-.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) ux)) (/.f32 (pow.f32 ux #s(literal -3 binary32)) (+.f32 (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux) #s(literal 1 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) #s(literal 3 binary32)) (pow.f32 ux #s(literal -6 binary32)))) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) (pow.f32 ux #s(literal -2 binary32))) (pow.f32 ux #s(literal -4 binary32))) (/.f32 (pow.f32 ux #s(literal -3 binary32)) (+.f32 (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux) #s(literal 1 binary32))))
(fma.f32 (*.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal -1/2 binary32))) (pow.f32 ux #s(literal -1/2 binary32)) #s(literal 1 binary32))
(fma.f32 (neg.f32 (pow.f32 ux #s(literal -1/2 binary32))) (neg.f32 (pow.f32 ux #s(literal -1/2 binary32))) #s(literal 1 binary32))
(fma.f32 (fabs.f32 (pow.f32 ux #s(literal -1/2 binary32))) (fabs.f32 (pow.f32 ux #s(literal -1/2 binary32))) #s(literal 1 binary32))
(fma.f32 (pow.f32 ux #s(literal -1/2 binary32)) (*.f32 (pow.f32 ux #s(literal -1/2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (pow.f32 ux #s(literal -1/2 binary32)) (pow.f32 ux #s(literal -1/2 binary32)) #s(literal 1 binary32))
(fma.f32 (pow.f32 ux #s(literal -3/2 binary32)) (/.f32 (pow.f32 ux #s(literal -3/2 binary32)) (+.f32 (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux) #s(literal 1 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (pow.f32 ux #s(literal -2 binary32)) (+.f32 (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux) #s(literal 1 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (pow.f32 ux #s(literal -2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) ux) (+.f32 (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux) #s(literal 1 binary32))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux) #s(literal 1 binary32))) (/.f32 (pow.f32 ux #s(literal -3 binary32)) (+.f32 (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux) #s(literal 1 binary32))))
(+.f32 (/.f32 (pow.f32 ux #s(literal -3 binary32)) (+.f32 (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux) #s(literal 1 binary32))))
(+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux))
(neg.f32 (+.f32 (/.f32 #s(literal -1 binary32) ux) #s(literal -1 binary32)))

eval30.0ms (0.7%)

Memory: -12.2MiB live, 69.2MiB allocated
Compiler: Compiled 14 566 to 1 091 computations (92.5% saved)

prune5.0ms (0.1%)

Memory

20.9MiB live, 20.9MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	217	1	218
Fresh	0	0	0
Picked	1	0	1
Done	0	6	6
Total	218	7	225

Accuracy

100.0%

Counts

225 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.4%	(fma.f32 maxCos ux #s(approx (- 1 ux) (/.f32 #s(approx (* (- (pow ux -2) 1) ux) (-.f32 (/.f32 #s(literal 1 binary32) ux) ux)) (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
✓	99.9%	(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
✓	99.9%	(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))
✓	99.9%	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
✓	99.1%	(+.f32 #s(approx (- 1 ux) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)) (.f32 ux maxCos))
✓	97.9%	#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
✓	70.5%	#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))

Compiler

Compiled 224 to 117 computations (47.8% saved)

regimes14.0ms (0.3%)

Memory

-3.7MiB live, 34.3MiB allocated

Counts

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

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

Calls

4 calls:

4.0ms	uy
3.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
3.0ms	ux
3.0ms	maxCos

Results

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

Compiler

Compiled 10 to 16 computations (-60% saved)

regimes6.0ms (0.1%)

Memory

18.1MiB live, 18.1MiB 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:

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

Results

Accuracy	Segments	Branch
97.9%	1	`ux`
97.9%	1	`uy`
97.9%	1	`maxCos`
97.9%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`

Compiler

Compiled 10 to 16 computations (-60% saved)

regimes6.0ms (0.1%)

Memory

-22.6MiB live, 15.4MiB 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:

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

Results

Accuracy	Segments	Branch
70.5%	1	`ux`
70.5%	1	`maxCos`
70.5%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
70.5%	1	`uy`

Compiler

Compiled 10 to 16 computations (-60% saved)

simplify21.0ms (0.5%)

Memory

-3.8MiB live, 32.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	22	27
2	41	27
3	60	27
4	86	27
5	108	27
6	154	27
7	278	27
8	516	27
9	728	27
10	752	27
11	777	27
12	802	27
13	811	27

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.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 (-.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))

soundness506.0ms (12.6%)

Memory

19.3MiB live, 188.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	fuel
1×	iter limit
1×	node limit

Compiler

Compiled 31 to 22 computations (29% saved)

preprocess53.0ms (1.3%)

Memory: -7.9MiB live, 36.4MiB allocated
Remove: (abs uy)
Compiler: Compiled 96 to 68 computations (29.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	16	101
0	22	101
1	31	101
2	39	101
3	50	101
4	65	101
5	73	101
6	81	101
7	86	101
0	86	100

Iter	Nodes	Cost
0	11	27
1	22	27
2	41	27
3	60	27
4	86	27
5	108	27
6	154	27
7	278	27
8	516	27
9	728	27
10	752	27
11	777	27
12	802	27
13	811	27

Iter	Nodes	Cost
0	16	101
0	22	101
1	31	101
2	39	101
3	50	101
4	65	101
5	73	101
6	81	101
7	86	101
0	86	100

Iter	Nodes	Cost
0	11	27
1	22	27
2	41	27
3	60	27
4	86	27
5	108	27
6	154	27
7	278	27
8	516	27
9	728	27
10	752	27
11	777	27
12	802	27
13	811	27

start0.0ms (0%)

analyze80.0ms (2%)

sample1.0s (25.4%)

explain58.0ms (1.4%)

preprocess99.0ms (2.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify26.0ms (0.6%)

localize15.0ms (0.4%)

series4.0ms (0.1%)

simplify94.0ms (2.3%)

rewrite489.0ms (12.2%)

eval24.0ms (0.6%)

prune3.0ms (0.1%)

simplify32.0ms (0.8%)

localize43.0ms (1.1%)

series5.0ms (0.1%)

simplify123.0ms (3.1%)

rewrite212.0ms (5.3%)

eval23.0ms (0.6%)

prune5.0ms (0.1%)

simplify71.0ms (1.8%)

localize60.0ms (1.5%)

series7.0ms (0.2%)

simplify150.0ms (3.7%)

rewrite226.0ms (5.6%)

eval42.0ms (1%)

prune65.0ms (1.6%)

simplify5.0ms (0.1%)

localize63.0ms (1.6%)

series3.0ms (0.1%)

simplify120.0ms (3%)

rewrite215.0ms (5.3%)

eval30.0ms (0.7%)

prune5.0ms (0.1%)

regimes14.0ms (0.3%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

simplify21.0ms (0.5%)

soundness506.0ms (12.6%)

preprocess53.0ms (1.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	16	101
0	22	101
1	31	101
2	39	101
3	50	101
4	65	101
5	73	101
6	81	101
7	86	101
0	86	100

Iter	Nodes	Cost
0	11	27
1	22	27
2	41	27
3	60	27
4	86	27
5	108	27
6	154	27
7	278	27
8	516	27
9	728	27
10	752	27
11	777	27
12	802	27
13	811	27