Metrics for UniformSampleCone, z

analyze187.0ms (3.4%)

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 33 to 20 computations (39.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 96.0ms

...c/correct-round.rkt:119:19: 30.0ms (31.1% of total)

ival-<=: 30.0ms (31.1% of total)

ival-sub: 9.0ms (9.3% of total)

ival-and: 9.0ms (9.3% of total)

ival-mult: 9.0ms (9.3% of total)

ival-add: 7.0ms (7.3% of total)

const: 1.0ms (1% of total)

backward-pass: 1.0ms (1% of total)

sample1.5s (27.4%)

Results

961.0ms	8256×	0	valid
16.0ms	45×	5	exit

Precisions

Click to see histograms. Total time spent on operations: 619.0ms

...c/correct-round.rkt:119:19: 230.0ms (37.1% of total)

ival-<=: 160.0ms (25.8% of total)

ival-sub: 59.0ms (9.5% of total)

ival-mult: 58.0ms (9.4% of total)

ival-add: 49.0ms (7.9% of total)

ival-and: 49.0ms (7.9% of total)

backward-pass: 8.0ms (1.3% of total)

const: 7.0ms (1.1% of total)

Bogosity

preprocess109.0ms (2%)

Algorithm

2×	egg-herbie

Rules

2030×	`sum3-define`
1968×	`sum5-define`
1736×	`sum4-define`
1720×	`fnmsub-define`
1686×	`fnmadd-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	79
1	78	63
2	245	60
3	852	60
4	3104	60
5	6894	60
0	6	7
1	14	6
2	35	6
3	70	6
4	182	6
5	485	6
6	1531	6
7	2129	6
8	2264	6
9	2284	6
0	2284	6

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

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

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

Call 2

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

Outputs
(+ (- 1 ux) (* ux maxCos))
(+ 1 (fmsub ux maxCos ux))
(+ (- 1 (neg ux)) (* (neg ux) maxCos))
(+ 1 (fnmadd ux maxCos ux))
(+ (- 1 ux) (* ux maxCos))
(+ 1 (fmsub ux maxCos ux))
(+ (- 1 ux) (* ux (neg maxCos)))
(- 1 (fma ux maxCos ux))
(neg (+ (- 1 (neg ux)) (* (neg ux) maxCos)))
(+ -1 (fmsub ux maxCos ux))
(neg (+ (- 1 ux) (* ux maxCos)))
(+ ux (fnmsub ux maxCos 1))
(neg (+ (- 1 ux) (* ux (neg maxCos))))
(sum3 ux (* ux maxCos) -1)
(+ (- 1 uy) (* uy maxCos))
(+ 1 (fmsub maxCos uy uy))
(+ (- 1 maxCos) (* maxCos ux))
(fmsub ux maxCos (+ maxCos -1))
(+ (- 1 ux) (* ux uy))
(+ 1 (fmsub ux uy ux))

Symmetry

(abs uy)

explain71.0ms (1.3%)

FPErrors

Click to see full error table

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

Results

44.0ms

512×

valid

Compiler

Compiled 50 to 23 computations (54% saved)

Precisions

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

ival-sub: 3.0ms (30.7% of total)

ival-add: 3.0ms (30.7% of total)

ival-mult: 3.0ms (30.7% of total)

const: 1.0ms (10.2% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 10 to 8 computations (20% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
▶	99.9%	(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))

Compiler

Compiled 20 to 15 computations (25% saved)

simplify45.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

624×	`sum5-define`
570×	`fnmadd-define`
534×	`sum3-define`
422×	`fmsub-define`
416×	`fnmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	35
1	26	33
2	65	33
3	103	32
4	205	32
5	543	32
6	1552	32
7	2145	32
8	2280	32
9	2300	32
0	2300	32

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize53.0ms (1%)

Localize:

Found 6 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))
✓	accuracy	100.0%	(+.f32 maxCos #s(literal -1 binary32))
✓	accuracy	99.9%	(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
✓	accuracy	99.8%	(*.f32 ux (+.f32 maxCos #s(literal -1 binary32)))

Results

41.0ms

256×

valid

Compiler

Compiled 39 to 12 computations (69.2% saved)

Precisions

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

ival-add: 4.0ms (45% of total)

ival-mult: 3.0ms (33.7% of total)

ival-sub: 1.0ms (11.2% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series6.0ms (0.1%)

Counts

6 → 120

Calls

Call 1

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

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

30 calls:

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

rewrite298.0ms (5.4%)

Algorithm

1×	batch-egg-rewrite

Rules

4956×	`-lowering-.f32`
4956×	`-lowering-.f64`
3600×	`/-lowering-/.f32`
3600×	`/-lowering-/.f64`
1970×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	28
1	73	26
2	693	26
0	8981	26

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 396

Calls

Call 1

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

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

simplify211.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

2070×	`-lowering-.f32`
2070×	`-lowering-.f64`
1482×	`sum3-define`
978×	`--lowering--.f32`
978×	`--lowering--.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	64	539
1	207	478
2	562	478
3	1469	478
4	4407	478
5	7173	478
0	8144	478

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

eval51.0ms (0.9%)

Compiler: Compiled 11686 to 941 computations (91.9% saved)

prune60.0ms (1.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	513	3	516
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	513	5	518

Accuracy

100.0%

Counts

518 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.5%	(-.f32 #s(literal 1 binary32) ux)
▶	98.5%	(+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 ux ux)) (+.f32 #s(literal 1 binary32) ux)) (.f32 ux maxCos))
✓	99.9%	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
✓	99.9%	(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
▶	72.8%	#s(literal 1 binary32)

Compiler

Compiled 46 to 34 computations (26.1% saved)

simplify137.0ms (2.5%)

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f32 #s(literal 1 binary32) ux)
✓	cost-diff	0	(*.f32 ux ux)
✓	cost-diff	0	(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
✓	cost-diff	0	(+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 ux ux)) (+.f32 #s(literal 1 binary32) ux)) (.f32 ux maxCos))
✓	cost-diff	192	(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) ux))

Rules

2238×	`sum4-define`
1992×	`sum3-define`
1654×	`fnmadd-define`
1492×	`fma-define`
1164×	`fmsub-define`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	10	46
1	25	45
2	44	45
3	91	45
4	186	45
5	412	45
6	1225	30
7	3517	30
0	8243	30

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize50.0ms (0.9%)

Localize:

Found 5 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 (-.f32 #s(literal 1 binary32) (.f32 ux ux)) (+.f32 #s(literal 1 binary32) ux)) (.f32 ux maxCos))
✓	accuracy	99.9%	(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
✓	accuracy	98.7%	(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) ux))

Results

38.0ms

256×

valid

Compiler

Compiled 49 to 12 computations (75.5% saved)

Precisions

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

ival-mult: 5.0ms (38.2% of total)

ival-add: 4.0ms (30.6% of total)

ival-div: 2.0ms (15.3% of total)

ival-sub: 2.0ms (15.3% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series4.0ms (0.1%)

Counts

6 → 96

Calls

Call 1

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

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

24 calls:

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

rewrite301.0ms (5.5%)

Algorithm

1×	batch-egg-rewrite

Rules

4260×	`-lowering-.f32`
4260×	`-lowering-.f64`
3096×	`/-lowering-/.f32`
3096×	`/-lowering-/.f64`
2104×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	70	21
2	719	21
0	8691	21

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 403

Calls

Call 1

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

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

simplify179.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1976×	`fma-lowering-fma.f32`
1976×	`fma-lowering-fma.f64`
1902×	`fmsub-define`
1850×	`fnmsub-define`
1476×	`fmm-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	50	480
1	146	411
2	422	411
3	1432	400
4	4951	400
0	8282	400

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

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

eval56.0ms (1%)

Compiler: Compiled 12679 to 956 computations (92.5% saved)

prune70.0ms (1.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	498	1	499
Fresh	0	0	0
Picked	1	2	3
Done	0	2	2
Total	499	5	504

Accuracy

100.0%

Counts

504 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.2%	(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) ux))
✓	97.5%	(-.f32 #s(literal 1 binary32) ux)
✓	99.9%	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
✓	99.9%	(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
✓	72.8%	#s(literal 1 binary32)

Compiler

Compiled 42 to 32 computations (23.8% saved)

simplify153.0ms (2.8%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f32 #s(literal 1 binary32) ux)
✓	cost-diff	0	(*.f32 ux ux)
✓	cost-diff	0	(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
✓	cost-diff	192	(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) ux))

Rules

1730×	`-lowering-.f32`
1730×	`-lowering-.f64`
1656×	`sum5-define`
1466×	`fmsub-define`
1362×	`fnmadd-define`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	6	19
1	18	19
2	30	19
3	53	19
4	100	19
5	192	19
6	401	14
7	821	14
8	4154	14
0	8131	14

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize32.0ms (0.6%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f32 #s(literal 1 binary32) ux)
✓	accuracy	100.0%	(*.f32 ux ux)
✓	accuracy	99.9%	(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
✓	accuracy	98.7%	(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) ux))

Results

23.0ms

256×

valid

Compiler

Compiled 26 to 9 computations (65.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 3.0ms (38.4% of total)

ival-div: 2.0ms (25.6% of total)

ival-sub: 1.0ms (12.8% of total)

ival-add: 1.0ms (12.8% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series1.0ms (0%)

Counts

4 → 48

Calls

Call 1

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

Calls

12 calls:

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

rewrite295.0ms (5.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3278×	`-lowering-.f32`
3278×	`-lowering-.f64`
2998×	`/-lowering-/.f32`
2998×	`/-lowering-/.f64`
1974×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	47	12
2	382	12
3	6134	12
0	8421	12

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 521

Calls

Call 1

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

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

simplify154.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1912×	`sum4-define`
1870×	`-lowering-.f32`
1870×	`-lowering-.f64`
1304×	`fmsub-define`
1266×	`fnmsub-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	170
1	52	129
2	105	129
3	236	129
4	383	129
5	990	129
6	4198	129
0	8284	129

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

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

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

eval79.0ms (1.4%)

Compiler: Compiled 16502 to 1403 computations (91.5% saved)

prune92.0ms (1.7%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	568	1	569
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	568	6	574

Accuracy

100.0%

Counts

574 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.2%	(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) ux))
▶	86.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))
✓	97.5%	(-.f32 #s(literal 1 binary32) ux)
✓	99.9%	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
✓	99.9%	(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
✓	72.8%	#s(literal 1 binary32)

Compiler

Compiled 50 to 38 computations (24% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

4×	`+-lowering-+.f64`
4×	`+-lowering-+.f32`
2×	`/-lowering-/.f32`
2×	`/-lowering-/.f64`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	9
1	8	9
0	8	9

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ 1 (+ 1 ux))
1
(+ 1 ux)
ux

Outputs
(/ 1 (+ 1 ux))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))
1
#s(literal 1 binary32)
(+ 1 ux)
(+.f32 #s(literal 1 binary32) ux)
ux

localize25.0ms (0.5%)

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f32 #s(literal 1 binary32) ux)
✓	accuracy	98.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))

Results

19.0ms

256×

valid

Compiler

Compiled 14 to 7 computations (50% saved)

Precisions

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

ival-div: 2.0ms (50.4% of total)

ival-add: 2.0ms (50.4% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series1.0ms (0%)

Counts

2 → 24

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite353.0ms (6.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3816×	`/-lowering-/.f32`
3816×	`/-lowering-/.f64`
3348×	`-lowering-.f32`
3348×	`-lowering-.f64`
1618×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
1	29	7
2	183	7
3	1386	7
0	8772	7

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 435

Calls

Call 1

Inputs
(/ 1 (+ 1 ux))
(+ 1 ux)

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

simplify221.0ms (4%)

Algorithm

1×	egg-herbie

Rules

2204×	`fma-lowering-fma.f32`
2204×	`fma-lowering-fma.f64`
1660×	`sum3-define`
1404×	`fnmadd-define`
1392×	`div-sub`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	39	123
1	115	115
2	253	113
3	732	110
4	2436	108
0	8074	108

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 24

Calls

Call 1

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

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

eval44.0ms (0.8%)

Compiler: Compiled 12575 to 1372 computations (89.1% saved)

prune70.0ms (1.3%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	459	0	459
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	459	6	465

Accuracy

100.0%

Counts

465 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.2%	(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) ux))
✓	86.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))
✓	97.5%	(-.f32 #s(literal 1 binary32) ux)
✓	99.9%	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
✓	99.9%	(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
✓	72.8%	#s(literal 1 binary32)

Compiler

Compiled 98 to 55 computations (43.9% saved)

regimes12.0ms (0.2%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes7.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	uy
2.0ms	ux
2.0ms	maxCos

Results

Accuracy	Segments	Branch
99.9%	1	`ux`
99.9%	1	`uy`
99.9%	1	`maxCos`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes22.0ms (0.4%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

18.0ms	uy
2.0ms	ux
2.0ms	maxCos

Results

Accuracy	Segments	Branch
97.5%	1	`ux`
97.5%	1	`uy`
97.5%	1	`maxCos`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.1%)

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

3 calls:

1.0ms	maxCos
1.0ms	uy
1.0ms	ux

Results

Accuracy	Segments	Branch
72.8%	1	`ux`
72.8%	1	`uy`
72.8%	1	`maxCos`

Compiler

Compiled 12 to 9 computations (25% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	18
1	20	18
2	23	18
3	25	18
4	26	18

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness508.0ms (9.2%)

Rules

2070×	`-lowering-.f32`
2070×	`-lowering-.f64`
1482×	`sum3-define`
978×	`--lowering--.f32`
978×	`--lowering--.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	64	539
1	207	478
2	562	478
3	1469	478
4	4407	478
5	7173	478
0	8144	478
0	6	7
1	14	6
2	35	6
3	70	6
4	182	6
5	485	6
6	1531	6
7	2129	6
8	2264	6
9	2284	6
0	2284	6

Stop Event

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

Compiler

Compiled 61 to 44 computations (27.9% saved)

preprocess22.0ms (0.4%)

Remove: (abs uy)
Compiler: Compiled 122 to 78 computations (36.1% saved)

analyze187.0ms (3.4%)

sample1.5s (27.4%)

preprocess109.0ms (2%)

explain71.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify45.0ms (0.8%)

localize53.0ms (1%)

series6.0ms (0.1%)

rewrite298.0ms (5.4%)

simplify211.0ms (3.8%)

eval51.0ms (0.9%)

prune60.0ms (1.1%)

simplify137.0ms (2.5%)

localize50.0ms (0.9%)

series4.0ms (0.1%)

rewrite301.0ms (5.5%)

simplify179.0ms (3.3%)

eval56.0ms (1%)

prune70.0ms (1.3%)

simplify153.0ms (2.8%)

localize32.0ms (0.6%)

series1.0ms (0%)

rewrite295.0ms (5.4%)

simplify154.0ms (2.8%)

eval79.0ms (1.4%)

prune92.0ms (1.7%)

simplify4.0ms (0.1%)

localize25.0ms (0.5%)

series1.0ms (0%)

rewrite353.0ms (6.4%)

simplify221.0ms (4%)

eval44.0ms (0.8%)

prune70.0ms (1.3%)

regimes12.0ms (0.2%)

regimes7.0ms (0.1%)

regimes22.0ms (0.4%)

regimes4.0ms (0.1%)

simplify7.0ms (0.1%)

soundness508.0ms (9.2%)

preprocess22.0ms (0.4%)

end0.0ms (0%)

Profiling