Metrics for UniformSampleCone, z

analyze102.0ms (1.7%)

Memory

22.6MiB live, 132.8MiB 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)

sample1.1s (18.1%)

Memory

61.3MiB live, 1 428.0MiB allocated

Samples

654.0ms	8 170×	0	valid
9.0ms	86×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 449.0ms

const: 133.0ms (29.6% of total)

ival-<=: 123.0ms (27.4% of total)

ival-mult: 58.0ms (12.9% of total)

ival-sub: 47.0ms (10.5% of total)

ival-add: 45.0ms (10% of total)

ival-and: 31.0ms (6.9% of total)

exact: 8.0ms (1.8% of total)

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

adjust: 2.0ms (0.4% of total)

Bogosity

preprocess65.0ms (1.1%)

Memory

21.7MiB live, 58.8MiB allocated

Algorithm

1×	egg-herbie

Rules

384×	`lower-fma.f64`
384×	`lower-fma.f32`
348×	`sub-neg`
248×	`cancel-sign-sub-inv`
204×	`associate-+l-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	72
1	78	63
2	215	63
3	586	63
4	1301	63
5	1679	63
6	1809	63
7	1829	63
0	6	7
0	9	7
1	17	7
2	35	7
3	64	7
4	143	7
5	290	7
6	426	7
7	464	7
8	469	7
0	469	6

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs uy)

explain300.0ms (5.1%)

Memory

-39.5MiB live, 98.6MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

27.0ms

512×

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 (33.4% of total)

ival-mult: 3.0ms (33.4% of total)

ival-sub: 2.0ms (22.3% of total)

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

exact: 0.0ms (0% of total)

ival-assert: 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

1.1MiB live, 1.1MiB 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)

simplify22.0ms (0.4%)

Memory

-8.5MiB live, 28.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

384×	`lower-fma.f64`
384×	`lower-fma.f32`
160×	`lower-*.f64`
158×	`lower-*.f32`
120×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	9	16
1	17	16
2	35	16
3	64	16
4	143	16
5	290	16
6	426	16
7	464	16
8	469	16
0	469	15

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize16.0ms (0.3%)

Memory

26.1MiB live, 26.1MiB 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

10.0ms

256×

valid

Compiler

Compiled 18 to 9 computations (50% saved)

Precisions

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

ival-sub: 1.0ms (22.9% of total)

ival-add: 1.0ms (22.9% of total)

ival-mult: 1.0ms (22.9% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

7.3MiB live, 7.3MiB allocated

Counts

3 → 60

Calls

Call 1

Inputs
#<alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))>
#<alt (-.f32 #s(literal 1 binary32) ux)>
#<alt (*.f32 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
0.0ms	ux	@	-inf	(+ (- 1 ux) (* ux maxCos))
0.0ms	maxCos	@	-inf	(+ (- 1 ux) (* ux maxCos))
0.0ms	ux	@	inf	(+ (- 1 ux) (* ux maxCos))
0.0ms	ux	@	-inf	(* ux maxCos)
0.0ms	ux	@	0	(+ (- 1 ux) (* ux maxCos))

rewrite278.0ms (4.7%)

Memory

25.1MiB live, 398.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 750×	`lower-fma.f64`
5 750×	`lower-fma.f32`
4 062×	`lower-*.f64`
4 060×	`lower-*.f32`
2 014×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
0	9	13
1	42	13
2	343	13
3	5268	13
0	8968	12

Stop Event

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

Counts

3 → 311

Calls

Call 1

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

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

simplify264.0ms (4.5%)

Memory

10.0MiB live, 239.6MiB allocated

Algorithm

1×	egg-herbie

Rules

5 316×	`lower-fma.f64`
5 316×	`lower-fma.f32`
2 180×	`div-sub`
2 012×	`lower-*.f64`
2 012×	`lower-*.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

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

eval50.0ms (0.8%)

Memory: -6.8MiB live, 76.2MiB allocated
Compiler: Compiled 8 109 to 762 computations (90.6% saved)

prune146.0ms (2.5%)

Memory

-49.1MiB live, 130.1MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	367	4	371
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	368	4	372

Accuracy

100.0%

Counts

372 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
▶	98.0%	(-.f32 #s(literal 1 binary32) ux)
▶	98.5%	(+.f32 (/.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 ux maxCos))
▶	70.7%	#s(literal 1 binary32)

Compiler

Compiled 46 to 31 computations (32.6% saved)

simplify289.0ms (4.9%)

Memory

32.6MiB live, 337.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f32 #s(literal -1 binary32) maxCos)
✓	cost-diff	0	(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
✓	cost-diff	0	(-.f32 #s(literal 1 binary32) ux)
✓	cost-diff	0	(-.f32 #s(literal 1 binary32) (.f32 ux (.f32 ux (*.f32 ux ux))))
✓	cost-diff	64	(+.f32 (/.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 ux maxCos))
✓	cost-diff	736	(.f32 (-.f32 #s(literal 1 binary32) (.f32 ux (.f32 ux (.f32 ux ux)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
✓	cost-diff	896	(/.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)))

Rules

8 604×	`lower-fma.f64`
8 600×	`lower-fma.f32`
2 430×	`lower-*.f64`
2 420×	`lower-*.f32`
1 886×	`lower-+.f64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	18	120
0	33	139
1	63	115
2	108	115
3	220	115
4	678	115
5	1723	97
6	3189	68
7	4963	68
8	7302	68
0	8068	68

Stop Event

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

Calls

Call 1

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

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

localize55.0ms (0.9%)

Memory

20.7MiB live, 138.3MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
✓	accuracy	100.0%	(+.f32 #s(literal -1 binary32) maxCos)
✓	accuracy	100.0%	(-.f32 #s(literal 1 binary32) ux)
✓	accuracy	99.5%	(/.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)))
✓	accuracy	99.2%	(.f32 ux (.f32 ux ux))
✓	accuracy	99.1%	(.f32 ux (.f32 ux (*.f32 ux ux)))
✓	accuracy	98.9%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))

Samples

33.0ms	250×	0	valid
3.0ms	6×	5	exit

Compiler

Compiled 126 to 22 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 10.0ms (40.4% of total)

ival-add: 6.0ms (24.2% of total)

ival-div: 4.0ms (16.2% of total)

ival-sub: 2.0ms (8.1% of total)

adjust: 1.0ms (4% of total)

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

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

exact: 0.0ms (0% of total)

series18.0ms (0.3%)

Memory

1.5MiB live, 41.7MiB allocated

Counts

10 → 144

Calls

Call 1

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

36 calls:

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

rewrite298.0ms (5.1%)

Memory

-10.4MiB live, 536.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 536×	`lower-fma.f64`
6 532×	`lower-fma.f32`
4 230×	`lower-/.f64`
4 226×	`lower-/.f32`
3 874×	`lower-*.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	97
0	33	106
1	149	79
2	1205	45
0	8560	45

Stop Event

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

Counts

10 → 776

Calls

Call 1

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

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

simplify394.0ms (6.7%)

Memory

-3.0MiB live, 564.3MiB allocated

Algorithm

1×	egg-herbie

Rules

14 250×	`lower-fma.f64`
14 250×	`lower-fma.f32`
3 342×	`lower-+.f64`
3 342×	`lower-+.f32`
2 854×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	972
1	358	926
2	1139	910
3	3681	902
4	7690	902
0	8155	838

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 142

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

eval84.0ms (1.4%)

Memory: 12.9MiB live, 204.7MiB allocated
Compiler: Compiled 26 520 to 1 867 computations (93% saved)

prune118.0ms (2%)

Memory

-27.0MiB live, 191.7MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	917	1	918
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	918	4	922

Accuracy

100.0%

Counts

922 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
✓	98.0%	(-.f32 #s(literal 1 binary32) ux)
▶	97.5%	(.f32 (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 ux (.f32 ux (neg.f32 ux)) #s(literal -1 binary32))) (fma.f32 ux (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)))
✓	70.7%	#s(literal 1 binary32)

Compiler

Compiled 41 to 29 computations (29.3% saved)

simplify530.0ms (9%)

Memory

22.3MiB live, 687.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

19 384×	`lower-fma.f64`
19 378×	`lower-fma.f32`
3 808×	`lower--.f64`
3 808×	`lower--.f32`
3 160×	`lower-*.f64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	11	60
0	22	60
1	50	60
2	119	54
3	398	54
4	1613	54
5	3040	52
0	8703	52

Stop Event

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

Calls

Call 1

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

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

localize57.0ms (1%)

Memory

-11.5MiB live, 63.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f32 ux)
✓	accuracy	100.0%	(fma.f32 ux (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32))
✓	accuracy	99.6%	(/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal -1 binary32)))
✓	accuracy	99.5%	(.f32 (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 ux (.f32 ux (neg.f32 ux)) #s(literal -1 binary32))) (fma.f32 ux (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)))

Samples

26.0ms	250×	0	valid
2.0ms	6×	5	exit

Compiler

Compiled 70 to 18 computations (74.3% saved)

Precisions

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

ival-mult: 7.0ms (36.1% of total)

ival-add: 7.0ms (36.1% of total)

ival-div: 2.0ms (10.3% of total)

adjust: 1.0ms (5.2% of total)

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

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

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

exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated

Counts

6 → 72

Calls

Call 1

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

Calls

18 calls:

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

rewrite358.0ms (6.1%)

Memory

4.3MiB live, 682.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 312×	`lower-fma.f64`
10 306×	`lower-fma.f32`
5 286×	`lower-*.f64`
5 282×	`lower-*.f32`
3 908×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	50
0	22	50
1	102	47
2	854	37
0	9277	37

Stop Event

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

Counts

6 → 845

Calls

Call 1

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

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

simplify406.0ms (6.9%)

Memory

-29.9MiB live, 715.3MiB allocated

Algorithm

1×	egg-herbie

Rules

16 418×	`lower-fma.f64`
16 418×	`lower-fma.f32`
3 562×	`lower-*.f64`
3 562×	`lower-*.f32`
1 556×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	379
1	186	367
2	481	348
3	1401	340
4	4320	334
0	8427	315

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

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
(+ 1 (* -1 (pow ux 2)))
(+ 1 (* (pow ux 2) (- (* -1 ux) 1)))
(+ 1 (* (pow ux 2) (- (* ux (- (pow ux 2) 1)) 1)))
(/ -1 ux)
(/ (- (/ 1 (pow ux 2)) 1) ux)
(/ (- (+ (/ 1 (pow ux 2)) (/ 1 (pow ux 3))) 1) ux)
(/ (- (+ (/ 1 (pow ux 2)) (/ 1 (pow ux 3))) (+ 1 (/ 1 (pow ux 5)))) ux)
(/ -1 ux)
(* -1 (/ (- 1 (/ 1 (pow ux 2))) ux))
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 ux)) (pow ux 2)))) ux))
(* -1 (/ (- (+ 1 (* -1 (/ (- 1 (/ 1 (pow ux 2))) (pow ux 3)))) (/ 1 (pow ux 2))) ux))
-1
(- (pow ux 2) 1)
(- (pow ux 2) 1)
(- (pow ux 2) 1)
(pow ux 2)
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(pow ux 2)
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
-1
(- (* -1 (pow ux 3)) 1)
(- (* -1 (pow ux 3)) 1)
(- (* -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 (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 (* -1 ux))
(+ 1 (* ux (- ux 1)))
(+ 1 (* ux (- ux 1)))
(pow ux 2)
(* (pow ux 2) (- 1 (/ 1 ux)))
(* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (/ 1 ux)))
(* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (/ 1 ux)))
(pow ux 2)
(* (pow ux 2) (- 1 (/ 1 ux)))
(* (pow ux 2) (+ 1 (* -1 (/ (- 1 (/ 1 ux)) ux))))
(* (pow ux 2) (+ 1 (* -1 (/ (- 1 (/ 1 ux)) ux))))
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)

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

eval122.0ms (2.1%)

Memory: 14.6MiB live, 166.9MiB allocated
Compiler: Compiled 34 743 to 2 379 computations (93.2% saved)

prune123.0ms (2.1%)

Memory

4.8MiB live, 334.9MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	917	0	917
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	917	4	921

Accuracy

100.0%

Counts

921 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
✓	98.0%	(-.f32 #s(literal 1 binary32) ux)
✓	97.5%	(.f32 (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 ux (.f32 ux (neg.f32 ux)) #s(literal -1 binary32))) (fma.f32 ux (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)))
✓	70.7%	#s(literal 1 binary32)

Compiler

Compiled 104 to 57 computations (45.2% saved)

regimes12.0ms (0.2%)

Memory

-9.3MiB live, 29.4MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes6.0ms (0.1%)

Memory

18.8MiB live, 18.8MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
98.0%	1	`ux`
98.0%	1	`uy`
98.0%	1	`maxCos`
98.0%	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

-24.0MiB live, 15.1MiB 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	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
1.0ms	maxCos
1.0ms	uy
1.0ms	ux

Results

Accuracy	Segments	Branch
70.7%	1	`ux`
70.7%	1	`uy`
70.7%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
70.7%	1	`maxCos`

Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify6.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	13	10
2	16	10
3	18	10
4	19	10

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness623.0ms (10.6%)

Memory

-0.4MiB live, 272.8MiB allocated

Rules

5 750×	`lower-fma.f64`
5 750×	`lower-fma.f32`
5 316×	`lower-fma.f64`
5 316×	`lower-fma.f32`
4 062×	`lower-*.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
0	6	13
0	9	13
1	42	13
2	343	13
3	5268	13
0	8968	12

Stop Event

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

Compiler

Compiled 32 to 24 computations (25% saved)

preprocess47.0ms (0.8%)

Memory: 19.3MiB live, 57.2MiB allocated
Remove: (abs uy)
Compiler: Compiled 64 to 44 computations (31.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze102.0ms (1.7%)

sample1.1s (18.1%)

preprocess65.0ms (1.1%)

explain300.0ms (5.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify22.0ms (0.4%)

localize16.0ms (0.3%)

series4.0ms (0.1%)

rewrite278.0ms (4.7%)

simplify264.0ms (4.5%)

eval50.0ms (0.8%)

prune146.0ms (2.5%)

simplify289.0ms (4.9%)

localize55.0ms (0.9%)

series18.0ms (0.3%)

rewrite298.0ms (5.1%)

simplify394.0ms (6.7%)

eval84.0ms (1.4%)

prune118.0ms (2%)

simplify530.0ms (9%)

localize57.0ms (1%)

series6.0ms (0.1%)

rewrite358.0ms (6.1%)

simplify406.0ms (6.9%)

eval122.0ms (2.1%)

prune123.0ms (2.1%)

regimes12.0ms (0.2%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

simplify6.0ms (0.1%)

soundness623.0ms (10.6%)

preprocess47.0ms (0.8%)

end0.0ms (0%)

Profiling