Metrics for UniformSampleCone, z

analyze140.0ms (4.1%)

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: 84.0ms

ival-<=: 42.0ms (50.1% of total)

...c/correct-round.rkt:119:19: 19.0ms (22.6% of total)

ival-mult: 7.0ms (8.3% of total)

ival-sub: 6.0ms (7.2% of total)

ival-add: 5.0ms (6% of total)

ival-and: 4.0ms (4.8% of total)

const: 1.0ms (1.2% of total)

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

sample1.5s (43.3%)

Results

915.0ms	8256×	0	valid
20.0ms	59×	5	exit

Precisions

Click to see histograms. Total time spent on operations: 608.0ms

ival-<=: 206.0ms (33.9% of total)

...c/correct-round.rkt:119:19: 154.0ms (25.3% of total)

ival-mult: 81.0ms (13.3% of total)

ival-sub: 61.0ms (10% of total)

ival-add: 49.0ms (8.1% of total)

ival-and: 40.0ms (6.6% of total)

backward-pass: 9.0ms (1.5% of total)

const: 8.0ms (1.3% of total)

Bogosity

preprocess116.0ms (3.4%)

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)

explain53.0ms (1.6%)

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

32.0ms

512×

valid

Compiler

Compiled 50 to 23 computations (54% saved)

Precisions

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

ival-mult: 7.0ms (53.2% of total)

ival-sub: 3.0ms (22.8% of total)

ival-add: 3.0ms (22.8% of total)

const: 1.0ms (7.6% 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))
▶	100.0%	(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))

Compiler

Compiled 20 to 15 computations (25% saved)

simplify44.0ms (1.3%)

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

localize41.0ms (1.2%)

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

Results

31.0ms

256×

valid

Compiler

Compiled 39 to 12 computations (69.2% saved)

Precisions

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

ival-add: 7.0ms (52.8% of total)

ival-mult: 5.0ms (37.7% of total)

ival-sub: 1.0ms (7.5% of total)

const: 0.0ms (0% of total)

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

series6.0ms (0.2%)

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)))

rewrite296.0ms (8.7%)

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	688	26
0	8942	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 maxCos (.f32 ux 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 ux (.f32 (+.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 maxCos #s(literal -1 binary32))))) (+.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 maxCos (.f32 ux 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 ux (.f32 (+.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 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 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 maxCos (.f32 ux 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 #s(literal 1 binary32) maxCos)))) (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 #s(literal 1 binary32) maxCos))))))
(+.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) (-.f32 #s(literal 0 binary32) (*.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 #s(literal -1 binary32) (*.f32 ux ux)) (+.f32 #s(literal -1 binary32) (neg.f32 ux)))
(/.f32 (-.f32 (.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 #s(literal 1 binary32) ux))) (.f32 ux (.f32 ux ux)))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 ux (+.f32 #s(literal 1 binary32) ux))) (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux)))))
(/.f32 (-.f32 (.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (.f32 (+.f32 #s(literal 1 binary32) ux) (.f32 ux ux))) (.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 ux (.f32 ux ux)) (.f32 (.f32 ux (.f32 ux ux)) (.f32 ux (.f32 ux ux))))) #s(literal 1 binary32)) (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 ux (.f32 ux ux)) (+.f32 (.f32 ux (.f32 ux ux)) #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 (.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))) (+.f32 #s(literal -1 binary32) (neg.f32 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 (+.f32 #s(literal -1 binary32) (neg.f32 ux))))
(/.f32 (+.f32 (.f32 ux (-.f32 #s(literal 0 binary32) (.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) (+.f32 #s(literal -1 binary32) (neg.f32 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)

simplify180.0ms (5.3%)

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	7170	478
0	8137	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 (1.5%)

Compiler: Compiled 11718 to 941 computations (92% saved)

prune74.0ms (2.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	514	2	516
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	514	4	518

Accuracy

100.0%

Counts

518 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.9%	(-.f32 #s(literal 1 binary32) ux)
✓	99.9%	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
✓	100.0%	(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
▶	70.4%	#s(literal 1 binary32)

Compiler

Compiled 30 to 24 computations (20% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

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

Rules

32×	`sum3-define`
24×	`+-lowering-+.f64`
24×	`+-lowering-+.f32`
18×	`--lowering--.f32`
18×	`--lowering--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	6
1	7	6
2	11	6
3	17	6
4	25	6
5	38	6
6	55	6
7	69	6
8	81	6
9	82	6
0	82	6

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
1
(- 1 ux)
1
ux

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

localize24.0ms (0.7%)

Localize:

Found 1 expressions of interest:

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

Results

20.0ms

256×

valid

Compiler

Compiled 10 to 6 computations (40% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-sub: 1.0ms (54.3% of total)

const: 0.0ms (0% of total)

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

series0.0ms (0%)

Counts

1 → 12

Calls

Call 1

Inputs
#<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))))>

Calls

3 calls:

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

rewrite281.0ms (8.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3222×	`/-lowering-/.f32`
3222×	`/-lowering-/.f64`
2638×	`-lowering-.f32`
2638×	`-lowering-.f64`
1478×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	20	3
2	128	3
3	1062	3
0	9701	3

Stop Event

1×	iter limit
1×	node limit

Counts

1 → 243

Calls

Call 1

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

simplify19.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

136×	`fma-lowering-fma.f32`
136×	`fma-lowering-fma.f64`
116×	`fnmadd-define`
112×	`fnmsub-define`
112×	`fmsub-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	41
1	26	32
2	62	32
3	124	32
4	199	32
5	351	32
6	491	32
7	543	32
0	543	32

Stop Event

1×	iter limit
1×	saturated

Counts

12 → 12

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))))

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)

eval22.0ms (0.6%)

Compiler: Compiled 9327 to 650 computations (93% saved)

prune34.0ms (1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	255	0	255
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	255	4	259

Accuracy

100.0%

Counts

259 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.9%	(-.f32 #s(literal 1 binary32) ux)
✓	99.9%	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
✓	100.0%	(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
✓	70.4%	#s(literal 1 binary32)

Compiler

Compiled 51 to 35 computations (31.4% saved)

regimes36.0ms (1%)

Counts

4 → 1

Calls

Call 1

Inputs
#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))

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

Calls

4 calls:

29.0ms	ux
2.0ms	maxCos
2.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
2.0ms	uy

Results

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes5.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	maxCos
2.0ms	uy
2.0ms	ux

Results

Accuracy	Segments	Branch
97.9%	1	`ux`
97.9%	1	`uy`
97.9%	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	ux
1.0ms	uy
1.0ms	maxCos

Results

Accuracy	Segments	Branch
70.4%	1	`ux`
70.4%	1	`uy`
70.4%	1	`maxCos`

Compiler

Compiled 12 to 9 computations (25% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	16	11
2	19	11
3	21	11
4	22	11

Stop Event

1×

saturated

Calls

Call 1

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

soundness469.0ms (13.8%)

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	7170	478
0	8137	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 54 to 42 computations (22.2% saved)

preprocess19.0ms (0.6%)

Remove: (abs uy)
Compiler: Compiled 88 to 64 computations (27.3% saved)

UniformSampleCone, z

analyze140.0ms (4.1%)

sample1.5s (43.3%)

preprocess116.0ms (3.4%)

explain53.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify44.0ms (1.3%)

localize41.0ms (1.2%)

series6.0ms (0.2%)

rewrite296.0ms (8.7%)

simplify180.0ms (5.3%)

eval51.0ms (1.5%)

prune74.0ms (2.2%)

simplify6.0ms (0.2%)

localize24.0ms (0.7%)

series0.0ms (0%)

rewrite281.0ms (8.2%)

simplify19.0ms (0.6%)

eval22.0ms (0.6%)

prune34.0ms (1%)

regimes36.0ms (1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

simplify8.0ms (0.2%)

soundness469.0ms (13.8%)

preprocess19.0ms (0.6%)

end0.0ms (0%)

Profiling