Metrics for UniformSampleCone, z

analyze73.0ms (1.1%)

Memory

-7.4MiB live, 109.5MiB 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 (15.6%)

Memory

92.3MiB live, 1 380.3MiB allocated

Samples

671.0ms	8 199×	0	valid
7.0ms	57×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 463.0ms

const: 133.0ms (28.7% of total)

ival-<=: 124.0ms (26.8% of total)

ival-sub: 72.0ms (15.5% of total)

ival-mult: 50.0ms (10.8% of total)

ival-add: 42.0ms (9.1% of total)

ival-and: 30.0ms (6.5% of total)

exact: 8.0ms (1.7% of total)

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

adjust: 1.0ms (0.2% of total)

Bogosity

preprocess69.0ms (1.1%)

Memory

6.7MiB live, 80.7MiB allocated

Algorithm

2×	egg-herbie

Rules

384×	`accelerator-lowering-fma.f32`
384×	`accelerator-lowering-fma.f64`
358×	`sub-neg`
248×	`cancel-sign-sub-inv`
204×	`associate-+l-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	79
1	78	70
2	215	70
3	586	70
4	1301	70
5	1688	70
6	1819	70
7	1839	70
0	6	7
1	14	7
2	32	7
3	61	7
4	140	7
5	284	7
6	420	7
7	458	7
8	463	7
0	463	6

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

Inputs
(+ (- 1 ux) (* ux maxCos))
(+ (- 1 (neg ux)) (* (neg ux) maxCos))
(+ (- 1 ux) (* ux maxCos))
(+ (- 1 ux) (* ux (neg maxCos)))
(neg (+ (- 1 (neg ux)) (* (neg ux) maxCos)))
(neg (+ (- 1 ux) (* ux maxCos)))
(neg (+ (- 1 ux) (* ux (neg maxCos))))
(+ (- 1 uy) (* uy maxCos))
(+ (- 1 maxCos) (* maxCos ux))
(+ (- 1 ux) (* ux uy))

Outputs
(+ (- 1 ux) (* ux maxCos))
(+ 1 (- (* ux maxCos) ux))
(+ (- 1 (neg ux)) (* (neg ux) maxCos))
(- 1 (- (* ux maxCos) ux))
(+ (- 1 ux) (* ux maxCos))
(+ 1 (- (* ux maxCos) ux))
(+ (- 1 ux) (* ux (neg maxCos)))
(- 1 (+ ux (* ux maxCos)))
(neg (+ (- 1 (neg ux)) (* (neg ux) maxCos)))
(+ -1 (- (* ux maxCos) ux))
(neg (+ (- 1 ux) (* ux maxCos)))
(+ ux (- -1 (* ux maxCos)))
(neg (+ (- 1 ux) (* ux (neg maxCos))))
(+ ux (+ (* ux maxCos) -1))
(+ (- 1 uy) (* uy maxCos))
(+ 1 (* uy (+ maxCos -1)))
(+ (- 1 maxCos) (* maxCos ux))
(- 1 (- maxCos (* ux maxCos)))
(+ (- 1 ux) (* ux uy))
(- 1 (- ux (* ux uy)))

Symmetry

(abs uy)

explain66.0ms (1%)

Memory

-15.5MiB live, 101.7MiB 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

21.0ms	510×	0	valid
0.0ms	2×	1	valid

Compiler

Compiled 56 to 32 computations (42.9% saved)

Precisions

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

ival-add: 3.0ms (33.1% of total)

ival-mult: 3.0ms (33.1% of total)

ival-sub: 2.0ms (22.1% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB 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 10 to 7 computations (30% saved)

simplify282.0ms (4.4%)

Memory

-24.8MiB live, 29.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-32	(*.f32 ux maxCos)
✓	cost-diff	0	(-.f32 #s(literal 1 binary32) ux)
✓	cost-diff	96	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))

Rules

384×	`accelerator-lowering-fma.f32`
384×	`accelerator-lowering-fma.f64`
160×	`-lowering-.f32`
160×	`-lowering-.f64`
120×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
1	14	16
2	32	16
3	61	16
4	140	16
5	284	16
6	420	16
7	458	16
8	463	16
0	463	15

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

Outputs
(+ (- 1 ux) (* ux maxCos))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
1
#s(literal 1 binary32)
ux
(* ux maxCos)
(fma.f32 ux maxCos #s(literal 0 binary32))
maxCos

localize17.0ms (0.3%)

Memory

27.6MiB live, 27.6MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f32 #s(literal 1 binary32) ux)
✓	accuracy	100.0%	(*.f32 ux maxCos)
✓	accuracy	99.9%	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))

Samples

11.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 18 to 9 computations (50% saved)

Precisions

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

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

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

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

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

series7.0ms (0.1%)

Memory

-36.8MiB live, 5.6MiB allocated

Counts

3 → 60

Calls

Call 1

Inputs
#<alt (+ (- 1 ux) (* ux maxCos))>
#<alt (- 1 ux)>
#<alt (* ux maxCos)>

Outputs
#<alt 1>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (* ux (- maxCos 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* -1 (* ux (+ 1 (* -1 maxCos))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (- 1 ux)>
#<alt (- (+ 1 (* maxCos ux)) ux)>
#<alt (- (+ 1 (* maxCos ux)) ux)>
#<alt (- (+ 1 (* maxCos ux)) ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))>
#<alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))>
#<alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))>
#<alt (* maxCos ux)>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))>
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (* -1 ux)>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>

Calls

15 calls:

Time	Variable		Point	Expression
4.0ms	ux	@	-inf	(+ (- 1 ux) (* ux maxCos))
0.0ms	ux	@	inf	(+ (- 1 ux) (* ux maxCos))
0.0ms	maxCos	@	-inf	(+ (- 1 ux) (* ux maxCos))
0.0ms	maxCos	@	0	(+ (- 1 ux) (* ux maxCos))
0.0ms	ux	@	0	(+ (- 1 ux) (* ux maxCos))

rewrite333.0ms (5.1%)

Memory

47.5MiB live, 497.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 750×	`accelerator-lowering-fma.f32`
5 750×	`accelerator-lowering-fma.f64`
4 062×	`-lowering-.f32`
4 062×	`-lowering-.f64`
2 014×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	39	13
2	340	13
3	5280	13
0	8979	12

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 311

Calls

Call 1

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

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

simplify291.0ms (4.5%)

Memory

23.2MiB live, 291.8MiB allocated

Algorithm

1×	egg-herbie

Rules

5 316×	`accelerator-lowering-fma.f32`
5 316×	`accelerator-lowering-fma.f64`
2 180×	`div-sub`
2 012×	`-lowering-.f32`
2 012×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	250
1	110	250
2	306	250
3	852	250
4	2100	250
5	3316	250
6	4299	250
7	5328	250
8	6757	250
9	7301	250
10	7633	250
11	7955	250
0	8006	232

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

Outputs
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* ux (- maxCos 1))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 0 binary32))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 0 binary32))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))

eval64.0ms (1%)

Memory: -35.3MiB live, 63.0MiB allocated
Compiler: Compiled 8 179 to 766 computations (90.6% saved)

prune100.0ms (1.5%)

Memory

-2.8MiB live, 74.5MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	365	6	371
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	366	6	372

Accuracy

100.0%

Counts

372 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
▶	9.0%	(fma.f32 ux maxCos #s(literal 0 binary32))
▶	99.9%	(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
▶	98.8%	(-.f32 #s(literal 1 binary32) ux)
	98.5%	(+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 ux (.f32 ux (.f32 ux ux)))) (.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal 1 binary32)))) (*.f32 ux maxCos))
▶	71.7%	#s(literal 1 binary32)

Compiler

Compiled 120 to 82 computations (31.7% saved)

simplify21.0ms (0.3%)

Memory

26.2MiB live, 26.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Program
✓	cost-diff	(fma.f32 ux maxCos #s(literal 1 binary32))
✓	cost-diff	(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
✓	cost-diff	(fma.f32 ux maxCos #s(literal 0 binary32))
✓	cost-diff	(-.f32 #s(literal 1 binary32) ux)
✓	cost-diff	(+.f32 maxCos #s(literal -1 binary32))
✓	cost-diff	(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))

Rules

384×	`accelerator-lowering-fma.f32`
384×	`accelerator-lowering-fma.f64`
160×	`-lowering-.f32`
160×	`-lowering-.f64`
120×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	41
1	29	41
2	55	41
3	69	41
4	106	41
5	165	41
6	292	41
7	398	41
8	479	41
9	494	41
10	498	41
0	498	38

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* ux (+ maxCos -1)) 1)
ux
(+ maxCos -1)
maxCos
-1
1
1
(- 1 ux)
1
ux
(+ (* ux maxCos) 0)
ux
maxCos
0
(- (+ (* ux maxCos) 1) ux)
(+ (* ux maxCos) 1)
ux
maxCos
1

Outputs
(+ (* ux (+ maxCos -1)) 1)
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
ux
(+ maxCos -1)
(+.f32 maxCos #s(literal -1 binary32))
maxCos
-1
#s(literal -1 binary32)
1
#s(literal 1 binary32)
1
#s(literal 1 binary32)
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
1
#s(literal 1 binary32)
ux
(+ (* ux maxCos) 0)
(fma.f32 ux maxCos #s(literal 0 binary32))
ux
maxCos
0
#s(literal 0 binary32)
(- (+ (* ux maxCos) 1) ux)
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(+ (* ux maxCos) 1)
(fma.f32 ux maxCos #s(literal 1 binary32))
ux
maxCos
1
#s(literal 1 binary32)

localize71.0ms (1.1%)

Memory

-30.4MiB live, 49.7MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f32 ux maxCos #s(literal 1 binary32))
✓	accuracy	99.9%	(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
✓	accuracy	100.0%	(fma.f32 ux maxCos #s(literal 0 binary32))
✓	accuracy	100.0%	(-.f32 #s(literal 1 binary32) ux)
✓	accuracy	100.0%	(+.f32 maxCos #s(literal -1 binary32))
✓	accuracy	99.9%	(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))

Samples

57.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 41 to 16 computations (61% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-add: 41.0ms (87.8% of total)

ival-mult: 3.0ms (6.4% of total)

ival-sub: 2.0ms (4.3% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

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

series4.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB allocated

Counts

6 → 120

Calls

Call 1

Inputs
#<alt (+ (* ux (+ maxCos -1)) 1)>
#<alt (+ maxCos -1)>
#<alt (- 1 ux)>
#<alt (+ (* ux maxCos) 0)>
#<alt (- (+ (* ux maxCos) 1) ux)>
#<alt (+ (* ux maxCos) 1)>

Outputs
#<alt 1>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (* ux (- maxCos 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- maxCos 1))>
#<alt (* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (+ (* -1 ux) (* maxCos ux)))>
#<alt (+ 1 (+ (* -1 ux) (* maxCos ux)))>
#<alt (+ 1 (+ (* -1 ux) (* maxCos ux)))>
#<alt (* maxCos ux)>
#<alt (* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))>
#<alt (* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))>
#<alt (* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))>
#<alt (* maxCos ux)>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))>
#<alt -1>
#<alt (- maxCos 1)>
#<alt (- maxCos 1)>
#<alt (- maxCos 1)>
#<alt maxCos>
#<alt (* maxCos (- 1 (/ 1 maxCos)))>
#<alt (* maxCos (- 1 (/ 1 maxCos)))>
#<alt (* maxCos (- 1 (/ 1 maxCos)))>
#<alt maxCos>
#<alt (* -1 (* maxCos (- (/ 1 maxCos) 1)))>
#<alt (* -1 (* maxCos (- (/ 1 maxCos) 1)))>
#<alt (* -1 (* maxCos (- (/ 1 maxCos) 1)))>
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (* -1 ux)>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt 1>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (* ux (- maxCos 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* -1 (* ux (+ 1 (* -1 maxCos))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (- 1 ux)>
#<alt (- (+ 1 (* maxCos ux)) ux)>
#<alt (- (+ 1 (* maxCos ux)) ux)>
#<alt (- (+ 1 (* maxCos ux)) ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))>
#<alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))>
#<alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))>
#<alt (* maxCos ux)>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))>
#<alt 1>
#<alt (+ 1 (* maxCos ux))>
#<alt (+ 1 (* maxCos ux))>
#<alt (+ 1 (* maxCos ux))>
#<alt (* maxCos ux)>
#<alt (* ux (+ maxCos (/ 1 ux)))>
#<alt (* ux (+ maxCos (/ 1 ux)))>
#<alt (* ux (+ maxCos (/ 1 ux)))>
#<alt (* maxCos ux)>
#<alt (* -1 (* ux (- (* -1 maxCos) (/ 1 ux))))>
#<alt (* -1 (* ux (- (* -1 maxCos) (/ 1 ux))))>
#<alt (* -1 (* ux (- (* -1 maxCos) (/ 1 ux))))>
#<alt 1>
#<alt (+ 1 (* maxCos ux))>
#<alt (+ 1 (* maxCos ux))>
#<alt (+ 1 (* maxCos ux))>
#<alt (* maxCos ux)>
#<alt (* maxCos (+ ux (/ 1 maxCos)))>
#<alt (* maxCos (+ ux (/ 1 maxCos)))>
#<alt (* maxCos (+ ux (/ 1 maxCos)))>
#<alt (* maxCos ux)>
#<alt (* -1 (* maxCos (- (* -1 ux) (/ 1 maxCos))))>
#<alt (* -1 (* maxCos (- (* -1 ux) (/ 1 maxCos))))>
#<alt (* -1 (* maxCos (- (* -1 ux) (/ 1 maxCos))))>

Calls

30 calls:

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

rewrite526.0ms (8.1%)

Memory

23.8MiB live, 1 036.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

17 652×	`accelerator-lowering-fma.f32`
17 652×	`accelerator-lowering-fma.f64`
3 432×	`-lowering-.f32`
3 432×	`-lowering-.f64`
3 400×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	28
1	94	28
2	907	28
0	8678	25

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 1 068

Calls

Call 1

Inputs
(+ (* ux (+ maxCos -1)) 1)
(+ maxCos -1)
(- 1 ux)
(+ (* ux maxCos) 0)
(- (+ (* ux maxCos) 1) ux)
(+ (* ux maxCos) 1)

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

simplify324.0ms (5%)

Memory

-24.9MiB live, 245.8MiB allocated

Algorithm

1×	egg-herbie

Rules

4 952×	`accelerator-lowering-fma.f32`
4 952×	`accelerator-lowering-fma.f64`
2 128×	`-lowering-.f32`
2 128×	`-lowering-.f64`
1 530×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	530
1	207	530
2	476	530
3	1124	530
4	2545	530
5	4057	530
6	5363	530
7	6336	530
8	6893	530
9	7304	530
10	7440	530
11	7946	530
0	8305	476

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

Outputs
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* ux (- maxCos 1))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 0 binary32))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* ux (- maxCos 1))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 0 binary32))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (+ (* -1 ux) (* maxCos ux)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (+ (* -1 ux) (* maxCos ux)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (+ (* -1 ux) (* maxCos ux)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
-1
#s(literal -1 binary32)
(- maxCos 1)
(+.f32 maxCos #s(literal -1 binary32))
(- maxCos 1)
(+.f32 maxCos #s(literal -1 binary32))
(- maxCos 1)
(+.f32 maxCos #s(literal -1 binary32))
maxCos
(* maxCos (- 1 (/ 1 maxCos)))
(+.f32 maxCos #s(literal -1 binary32))
(* maxCos (- 1 (/ 1 maxCos)))
(+.f32 maxCos #s(literal -1 binary32))
(* maxCos (- 1 (/ 1 maxCos)))
(+.f32 maxCos #s(literal -1 binary32))
maxCos
(* -1 (* maxCos (- (/ 1 maxCos) 1)))
(+.f32 maxCos #s(literal -1 binary32))
(* -1 (* maxCos (- (/ 1 maxCos) 1)))
(+.f32 maxCos #s(literal -1 binary32))
(* -1 (* maxCos (- (/ 1 maxCos) 1)))
(+.f32 maxCos #s(literal -1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* ux (- maxCos 1))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 0 binary32))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 0 binary32))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* maxCos ux))
(fma.f32 ux maxCos #s(literal 1 binary32))
(+ 1 (* maxCos ux))
(fma.f32 ux maxCos #s(literal 1 binary32))
(+ 1 (* maxCos ux))
(fma.f32 ux maxCos #s(literal 1 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* ux (+ maxCos (/ 1 ux)))
(fma.f32 ux maxCos #s(literal 1 binary32))
(* ux (+ maxCos (/ 1 ux)))
(fma.f32 ux maxCos #s(literal 1 binary32))
(* ux (+ maxCos (/ 1 ux)))
(fma.f32 ux maxCos #s(literal 1 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* -1 (* ux (- (* -1 maxCos) (/ 1 ux))))
(fma.f32 ux maxCos #s(literal 1 binary32))
(* -1 (* ux (- (* -1 maxCos) (/ 1 ux))))
(fma.f32 ux maxCos #s(literal 1 binary32))
(* -1 (* ux (- (* -1 maxCos) (/ 1 ux))))
(fma.f32 ux maxCos #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* maxCos ux))
(fma.f32 ux maxCos #s(literal 1 binary32))
(+ 1 (* maxCos ux))
(fma.f32 ux maxCos #s(literal 1 binary32))
(+ 1 (* maxCos ux))
(fma.f32 ux maxCos #s(literal 1 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos (+ ux (/ 1 maxCos)))
(fma.f32 ux maxCos #s(literal 1 binary32))
(* maxCos (+ ux (/ 1 maxCos)))
(fma.f32 ux maxCos #s(literal 1 binary32))
(* maxCos (+ ux (/ 1 maxCos)))
(fma.f32 ux maxCos #s(literal 1 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* -1 (* maxCos (- (* -1 ux) (/ 1 maxCos))))
(fma.f32 ux maxCos #s(literal 1 binary32))
(* -1 (* maxCos (- (* -1 ux) (/ 1 maxCos))))
(fma.f32 ux maxCos #s(literal 1 binary32))
(* -1 (* maxCos (- (* -1 ux) (/ 1 maxCos))))
(fma.f32 ux maxCos #s(literal 1 binary32))

eval105.0ms (1.6%)

Memory: 29.4MiB live, 248.8MiB allocated
Compiler: Compiled 29 694 to 1 626 computations (94.5% saved)

prune128.0ms (2%)

Memory

3.8MiB live, 295.7MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	1 186	2	1 188
Fresh	1	0	1
Picked	1	4	5
Done	0	0	0
Total	1 188	6	1 194

Accuracy

100.0%

Counts

1 194 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
▶	97.7%	(/.f32 (-.f32 #s(literal 1 binary32) (.f32 ux (.f32 ux ux))) (fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)))
✓	99.9%	(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
✓	98.8%	(-.f32 #s(literal 1 binary32) ux)
▶	9.0%	(*.f32 ux maxCos)
✓	71.7%	#s(literal 1 binary32)

Compiler

Compiled 51 to 36 computations (29.4% saved)

simplify72.0ms (1.1%)

Memory

-22.4MiB live, 57.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f32 ux #s(literal 1 binary32))
✓	cost-diff	0	(fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32))
✓	cost-diff	32	(-.f32 #s(literal 1 binary32) (.f32 ux (.f32 ux ux)))
✓	cost-diff	64	(/.f32 (-.f32 #s(literal 1 binary32) (.f32 ux (.f32 ux ux))) (fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)))
✓	cost-diff	-32	(*.f32 ux maxCos)

Rules

704×	`accelerator-lowering-fma.f32`
704×	`accelerator-lowering-fma.f64`
408×	`-lowering-.f32`
408×	`-lowering-.f64`
184×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	41
1	32	41
2	56	41
3	122	41
4	211	41
5	435	41
6	718	41
7	909	41
8	1052	41
9	1098	41
10	1153	41
11	1182	41
12	1186	41
13	1188	41
14	1191	41
15	1192	41
0	1192	39

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

Outputs
(* ux maxCos)
(fma.f32 ux maxCos #s(literal 0 binary32))
ux
maxCos
(/ (- 1 (* ux (* ux ux))) (+ (* ux (+ ux 1)) 1))
(/.f32 (fma.f32 ux (fma.f32 ux ux #s(literal 0 binary32)) #s(literal -1 binary32)) (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal -1 binary32)))
(- 1 (* ux (* ux ux)))
(fma.f32 ux (fma.f32 ux (neg.f32 ux) #s(literal 0 binary32)) #s(literal 1 binary32))
1
#s(literal 1 binary32)
(* ux (* ux ux))
(fma.f32 ux (fma.f32 ux ux #s(literal 0 binary32)) #s(literal 0 binary32))
ux
(* ux ux)
(fma.f32 ux ux #s(literal 0 binary32))
(+ (* ux (+ ux 1)) 1)
(fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32))
(+ ux 1)
(+.f32 ux #s(literal 1 binary32))

localize32.0ms (0.5%)

Memory

27.4MiB live, 66.1MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32))
✓	accuracy	99.9%	(-.f32 #s(literal 1 binary32) (.f32 ux (.f32 ux ux)))
✓	accuracy	99.3%	(.f32 ux (.f32 ux ux))
✓	accuracy	98.8%	(/.f32 (-.f32 #s(literal 1 binary32) (.f32 ux (.f32 ux ux))) (fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)))
✓	accuracy	100.0%	(*.f32 ux maxCos)

Samples

21.0ms

256×

valid

Compiler

Compiled 47 to 14 computations (70.2% saved)

Precisions

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

ival-mult: 5.0ms (37.6% of total)

ival-sub: 4.0ms (30.1% of total)

ival-div: 2.0ms (15.1% of total)

ival-add: 2.0ms (15.1% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

-30.6MiB live, 8.1MiB allocated

Counts

6 → 84

Calls

Call 1

Inputs
#<alt (* ux maxCos)>
#<alt (/ (- 1 (* ux (* ux ux))) (+ (* ux (+ ux 1)) 1))>
#<alt (- 1 (* ux (* ux ux)))>
#<alt (+ (* ux (+ ux 1)) 1)>
#<alt (+ ux 1)>
#<alt (* ux (* ux ux))>

Outputs
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (* -1 ux)>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow ux 3)))>
#<alt (+ 1 (* -1 (pow ux 3)))>
#<alt (+ 1 (* -1 (pow ux 3)))>
#<alt (* -1 (pow ux 3))>
#<alt (* (pow ux 3) (- (/ 1 (pow ux 3)) 1))>
#<alt (* (pow ux 3) (- (/ 1 (pow ux 3)) 1))>
#<alt (* (pow ux 3) (- (/ 1 (pow ux 3)) 1))>
#<alt (* -1 (pow ux 3))>
#<alt (* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))>
#<alt (* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))>
#<alt (* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))>
#<alt 1>
#<alt (+ 1 ux)>
#<alt (+ 1 (* ux (+ 1 ux)))>
#<alt (+ 1 (* ux (+ 1 ux)))>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))>
#<alt (* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))>
#<alt (* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))>
#<alt 1>
#<alt (+ 1 ux)>
#<alt (+ 1 ux)>
#<alt (+ 1 ux)>
#<alt ux>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt ux>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>

Calls

21 calls:

Time	Variable		Point	Expression
4.0ms	ux	@	-inf	(/ (- 1 (* ux (* ux ux))) (+ (* ux (+ ux 1)) 1))
1.0ms	ux	@	0	(/ (- 1 (* ux (* ux ux))) (+ (* ux (+ ux 1)) 1))
1.0ms	ux	@	inf	(/ (- 1 (* ux (* ux ux))) (+ (* ux (+ ux 1)) 1))
0.0ms	ux	@	-inf	(* ux (* ux ux))
0.0ms	ux	@	inf	(- 1 (* ux (* ux ux)))

rewrite492.0ms (7.6%)

Memory

12.3MiB live, 565.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 778×	`accelerator-lowering-fma.f32`
6 778×	`accelerator-lowering-fma.f64`
5 020×	`-lowering-.f32`
5 020×	`-lowering-.f64`
3 966×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	69	24
2	569	24
0	8527	23

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 634

Calls

Call 1

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

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

simplify347.0ms (5.4%)

Memory

31.9MiB live, 701.5MiB allocated

Algorithm

1×	egg-herbie

Rules

12 500×	`accelerator-lowering-fma.f32`
12 500×	`accelerator-lowering-fma.f64`
3 670×	`-lowering-.f32`
3 670×	`-lowering-.f64`
2 352×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	312
1	92	286
2	226	286
3	815	286
4	2756	286
5	4704	286
0	8624	278

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

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

eval118.0ms (1.8%)

Memory: -7.4MiB live, 108.1MiB allocated
Compiler: Compiled 23 507 to 1 693 computations (92.8% saved)

prune89.0ms (1.4%)

Memory

18.0MiB live, 214.3MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	717	1	718
Fresh	0	0	0
Picked	1	1	2
Done	0	4	4
Total	718	6	724

Accuracy

100.0%

Counts

724 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
▶	97.7%	(/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)))
✓	99.9%	(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
✓	98.8%	(-.f32 #s(literal 1 binary32) ux)
✓	9.0%	(*.f32 ux maxCos)
✓	71.7%	#s(literal 1 binary32)

Compiler

Compiled 50 to 35 computations (30% saved)

simplify58.0ms (0.9%)

Memory

-13.1MiB live, 60.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(fma.f32 ux ux ux)
✓	cost-diff	(-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))
✓	cost-diff	(fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32))
✓	cost-diff	(/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)))

Rules

656×	`accelerator-lowering-fma.f32`
656×	`accelerator-lowering-fma.f64`
530×	`times-frac`
360×	`-lowering-.f32`
360×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	35
1	20	35
2	41	35
3	82	35
4	166	35
5	289	35
6	399	35
7	476	35
8	574	35
9	899	35
10	1738	35
11	1858	35
12	1910	35
13	1912	35
14	1912	35
0	1912	32

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

Outputs
(/ (+ (* ux (* ux ux)) -1) (- -1 (+ (* ux ux) ux)))
(/.f32 (fma.f32 ux (fma.f32 ux ux #s(literal 0 binary32)) #s(literal -1 binary32)) (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal -1 binary32)))
(+ (* ux (* ux ux)) -1)
(fma.f32 ux (fma.f32 ux ux #s(literal 0 binary32)) #s(literal -1 binary32))
ux
(* ux ux)
(fma.f32 ux ux #s(literal 0 binary32))
-1
#s(literal -1 binary32)
(- -1 (+ (* ux ux) ux))
(fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal -1 binary32))
(+ (* ux ux) ux)
(fma.f32 ux ux ux)

localize38.0ms (0.6%)

Memory

-64.7MiB live, 70.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f32 ux ux)
✓	accuracy	100.0%	(fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32))
✓	accuracy	100.0%	(-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))
✓	accuracy	98.8%	(/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)))

Samples

26.0ms

256×

valid

Compiler

Compiled 36 to 12 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-add: 12.0ms (62.2% of total)

ival-mult: 3.0ms (15.6% of total)

ival-div: 2.0ms (10.4% of total)

ival-sub: 1.0ms (5.2% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

5.8MiB live, 5.7MiB allocated

Counts

5 → 60

Calls

Call 1

Inputs
#<alt (/ (+ (* ux (* ux ux)) -1) (- -1 (+ (* ux ux) ux)))>
#<alt (+ (* ux (* ux ux)) -1)>
#<alt (- -1 (+ (* ux ux) ux))>
#<alt (+ (* ux ux) ux)>
#<alt (* ux ux)>

Outputs
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (* -1 ux)>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt -1>
#<alt (- (pow ux 3) 1)>
#<alt (- (pow ux 3) 1)>
#<alt (- (pow ux 3) 1)>
#<alt (pow ux 3)>
#<alt (* (pow ux 3) (- 1 (/ 1 (pow ux 3))))>
#<alt (* (pow ux 3) (- 1 (/ 1 (pow ux 3))))>
#<alt (* (pow ux 3) (- 1 (/ 1 (pow ux 3))))>
#<alt (pow ux 3)>
#<alt (* -1 (* (pow ux 3) (- (/ 1 (pow ux 3)) 1)))>
#<alt (* -1 (* (pow ux 3) (- (/ 1 (pow ux 3)) 1)))>
#<alt (* -1 (* (pow ux 3) (- (/ 1 (pow ux 3)) 1)))>
#<alt -1>
#<alt (- (* -1 ux) 1)>
#<alt (- (* ux (- (* -1 ux) 1)) 1)>
#<alt (- (* ux (- (* -1 ux) 1)) 1)>
#<alt (* -1 (pow ux 2))>
#<alt (* -1 (* (pow ux 2) (+ 1 (/ 1 ux))))>
#<alt (* (pow ux 2) (- (* -1 (/ (+ 1 (/ 1 ux)) ux)) 1))>
#<alt (* (pow ux 2) (- (* -1 (/ (+ 1 (/ 1 ux)) ux)) 1))>
#<alt (* -1 (pow ux 2))>
#<alt (* -1 (* (pow ux 2) (+ 1 (/ 1 ux))))>
#<alt (* (pow ux 2) (- (* -1 (/ (+ 1 (/ 1 ux)) ux)) 1))>
#<alt (* (pow ux 2) (- (* -1 (/ (+ 1 (/ 1 ux)) ux)) 1))>
#<alt ux>
#<alt (* ux (+ 1 ux))>
#<alt (* ux (+ 1 ux))>
#<alt (* ux (+ 1 ux))>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 2) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 2) (+ 1 (/ 1 ux)))>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 2) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 2) (+ 1 (/ 1 ux)))>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>

Calls

15 calls:

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

rewrite418.0ms (6.5%)

Memory

34.1MiB live, 781.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 152×	`accelerator-lowering-fma.f32`
7 152×	`accelerator-lowering-fma.f64`
5 122×	`-lowering-.f32`
5 122×	`-lowering-.f64`
4 472×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	33
1	61	33
2	553	23
0	8417	21

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 494

Calls

Call 1

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

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

simplify274.0ms (4.2%)

Memory

-34.2MiB live, 454.6MiB allocated

Algorithm

1×	egg-herbie

Rules

7 426×	`accelerator-lowering-fma.f32`
7 426×	`accelerator-lowering-fma.f64`
3 312×	`-lowering-.f32`
3 312×	`-lowering-.f64`
1 534×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	262
1	90	251
2	252	236
3	692	236
4	2263	236
5	4310	236
6	6847	236
0	8127	221

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

eval51.0ms (0.8%)

Memory: 38.5MiB live, 114.4MiB allocated
Compiler: Compiled 18 113 to 1 511 computations (91.7% saved)

prune72.0ms (1.1%)

Memory

-4.1MiB live, 189.5MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	554	0	554
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	554	6	560

Accuracy

100.0%

Counts

560 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
✓	97.7%	(/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)))
✓	99.9%	(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
✓	98.8%	(-.f32 #s(literal 1 binary32) ux)
✓	9.0%	(*.f32 ux maxCos)
✓	71.7%	#s(literal 1 binary32)

Compiler

Compiled 132 to 66 computations (50% saved)

regimes17.0ms (0.3%)

Memory

-2.2MiB live, 39.4MiB allocated

Counts

10 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) ux)
(*.f32 ux maxCos)
(fma.f32 ux maxCos #s(literal 0 binary32))
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)))
(/.f32 (-.f32 #s(literal 1 binary32) (.f32 ux (.f32 ux ux))) (fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)))
(+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 ux (.f32 ux (.f32 ux ux)))) (.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal 1 binary32)))) (*.f32 ux maxCos))

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

Calls

4 calls:

6.0ms	maxCos
3.0ms	uy
3.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
3.0ms	ux

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 22 to 16 computations (27.3% saved)

regimes11.0ms (0.2%)

Memory

-9.1MiB live, 30.3MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) ux)
(*.f32 ux maxCos)
(fma.f32 ux maxCos #s(literal 0 binary32))
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))

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

Calls

4 calls:

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

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 22 to 16 computations (27.3% saved)

regimes10.0ms (0.2%)

Memory

-13.3MiB live, 25.2MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) ux)
(*.f32 ux maxCos)
(fma.f32 ux maxCos #s(literal 0 binary32))
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)

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

Calls

4 calls:

3.0ms	ux
2.0ms	uy
2.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
2.0ms	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 22 to 16 computations (27.3% saved)

regimes8.0ms (0.1%)

Memory

21.9MiB live, 21.9MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) ux)
(*.f32 ux maxCos)
(fma.f32 ux maxCos #s(literal 0 binary32))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
98.8%	1	`ux`
98.8%	1	`uy`
98.8%	1	`maxCos`
98.8%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes6.0ms (0.1%)

Memory

-20.6MiB live, 17.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)

Outputs
#s(literal 1 binary32)

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
71.7%	1	`ux`
71.7%	1	`uy`
71.7%	1	`maxCos`
71.7%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`

Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify7.0ms (0.1%)

Memory

15.7MiB live, 15.7MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative_binary32`
6×	`sub-neg_binary32`
4×	`*-commutative_binary32`
2×	`neg-sub0_binary32`
2×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	20	23
2	24	23
3	26	23
4	27	23

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness815.0ms (12.6%)

Memory

-15.5MiB live, 308.7MiB allocated

Rules

5 750×	`accelerator-lowering-fma.f32`
5 750×	`accelerator-lowering-fma.f64`
5 316×	`accelerator-lowering-fma.f32`
5 316×	`accelerator-lowering-fma.f64`
4 062×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	250
1	110	250
2	306	250
3	852	250
4	2100	250
5	3316	250
6	4299	250
7	5328	250
8	6757	250
9	7301	250
10	7633	250
11	7955	250
0	8006	232
0	6	13
1	39	13
2	340	13
3	5280	13
0	8979	12

Stop Event

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

Compiler

Compiled 48 to 30 computations (37.5% saved)

preprocess37.0ms (0.6%)

Memory: 21.5MiB live, 101.8MiB allocated
Remove: (abs uy)
Compiler: Compiled 112 to 66 computations (41.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	13	41
1	29	41
2	55	41
3	69	41
4	106	41
5	165	41
6	292	41
7	398	41
8	479	41
9	494	41
10	498	41
0	498	38

Iter	Nodes	Cost
0	13	41
1	29	41
2	55	41
3	69	41
4	106	41
5	165	41
6	292	41
7	398	41
8	479	41
9	494	41
10	498	41
0	498	38

analyze73.0ms (1.1%)

sample1.0s (15.6%)

preprocess69.0ms (1.1%)

explain66.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify282.0ms (4.4%)

localize17.0ms (0.3%)

series7.0ms (0.1%)

rewrite333.0ms (5.1%)

simplify291.0ms (4.5%)

eval64.0ms (1%)

prune100.0ms (1.5%)

simplify21.0ms (0.3%)

localize71.0ms (1.1%)

series4.0ms (0.1%)

rewrite526.0ms (8.1%)

simplify324.0ms (5%)

eval105.0ms (1.6%)

prune128.0ms (2%)

simplify72.0ms (1.1%)

localize32.0ms (0.5%)

series7.0ms (0.1%)

rewrite492.0ms (7.6%)

simplify347.0ms (5.4%)

eval118.0ms (1.8%)

prune89.0ms (1.4%)

simplify58.0ms (0.9%)

localize38.0ms (0.6%)

series2.0ms (0%)

rewrite418.0ms (6.5%)

simplify274.0ms (4.2%)

eval51.0ms (0.8%)

prune72.0ms (1.1%)

regimes17.0ms (0.3%)

regimes11.0ms (0.2%)

regimes10.0ms (0.2%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

simplify7.0ms (0.1%)

soundness815.0ms (12.6%)

preprocess37.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	13	41
1	29	41
2	55	41
3	69	41
4	106	41
5	165	41
6	292	41
7	398	41
8	479	41
9	494	41
10	498	41
0	498	38