Metrics for Linear.Matrix:fromQuaternion from linear-1.19.1.3, A

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 12 to 8 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

const: 0.0ms (0% of total)

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

sample771.0ms (15%)

Results

556.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 293.0ms

ival-mult: 227.0ms (77.6% of total)

ival-sub: 53.0ms (18.1% of total)

const: 11.0ms (3.8% of total)

backward-pass: 3.0ms (1% of total)

Bogosity

preprocess179.0ms (3.5%)

Algorithm

2×	egg-herbie

Rules

1738×	`sum3-define`
1494×	`fmsub-define`
1490×	`fnmsub-define`
1476×	`fnmadd-define`
1194×	`fmm-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	46
1	90	42
2	225	42
3	806	42
4	2325	42
5	3951	42
6	5029	42
7	5379	42
8	5379	42
9	6156	42
0	7	7
1	18	7
2	43	7
3	104	7
4	210	7
5	339	7
6	667	7
7	1635	7
8	2562	7
9	3337	7
10	3601	7
0	3601	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(* 2 (- (* x x) (* x y)))

Outputs
(* 2 (- (* x x) (* x y)))
(.f64 x (.f64 #s(literal 2 binary64) (-.f64 x y)))

Call 2

Inputs
(* 2 (- (* x x) (* x y)))
(* 2 (- (* (neg x) (neg x)) (* (neg x) y)))
(* 2 (- (* x x) (* x (neg y))))
(neg (* 2 (- (* (neg x) (neg x)) (* (neg x) y))))
(neg (* 2 (- (* x x) (* x (neg y)))))
(* 2 (- (* y y) (* y x)))

Outputs
(* 2 (- (* x x) (* x y)))
(* 2 (* x (- x y)))
(* 2 (- (* (neg x) (neg x)) (* (neg x) y)))
(* x (* 2 (+ x y)))
(* 2 (- (* x x) (* x (neg y))))
(* x (* 2 (+ x y)))
(neg (* 2 (- (* (neg x) (neg x)) (* (neg x) y))))
(* x (* -2 (+ x y)))
(neg (* 2 (- (* x x) (* x (neg y)))))
(* x (* -2 (+ x y)))
(* 2 (- (* y y) (* y x)))
(* y (* 2 (- y x)))

explain69.0ms (1.3%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
10	-	-	`(-.f64 (.f64 x x) (.f64 x y))`
0	-	-	`x`
0	-	-	`(*.f64 x y)`
0	-	-	`(*.f64 x x)`
0	-	-	`(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`y`

Results

39.0ms

512×

valid

Compiler

Compiled 67 to 23 computations (65.7% saved)

Precisions

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

ival-mult: 14.0ms (74.1% of total)

ival-sub: 4.0ms (21.2% of total)

const: 1.0ms (5.3% of total)

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

eval0.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

prune3.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 x (.f64 #s(literal 2 binary64) (-.f64 x y)))
▶	96.1%	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))

Compiler

Compiled 20 to 13 computations (35% saved)

simplify74.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 x y)
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) (-.f64 x y))
✓	cost-diff	0	(.f64 x (.f64 #s(literal 2 binary64) (-.f64 x y)))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	128	(-.f64 (.f64 x x) (.f64 x y))
✓	cost-diff	128	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))

Rules

1034×	`fnmadd-define`
846×	`fma-define`
766×	`fnmsub-define`
766×	`fmsub-define`
724×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	39
1	26	39
2	64	39
3	144	39
4	269	39
5	476	39
6	1233	39
7	1879	39
8	3269	39
9	3616	39
0	3616	39

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* 2 (- (* x x) (* x y)))
2
(- (* x x) (* x y))
(* x x)
x
(* x y)
y
(* x (* 2 (- x y)))
x
(* 2 (- x y))
2
(- x y)
y

Outputs
(* 2 (- (* x x) (* x y)))
(.f64 #s(literal 2 binary64) (.f64 x (-.f64 x y)))
2
#s(literal 2 binary64)
(- (* x x) (* x y))
(*.f64 x (-.f64 x y))
(* x x)
(*.f64 x x)
x
(* x y)
(*.f64 x y)
y
(* x (* 2 (- x y)))
(.f64 #s(literal 2 binary64) (.f64 x (-.f64 x y)))
x
(* 2 (- x y))
(*.f64 #s(literal 2 binary64) (-.f64 x y))
2
#s(literal 2 binary64)
(- x y)
(-.f64 x y)
y

localize74.0ms (1.4%)

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) (-.f64 x y))
✓	accuracy	100.0%	(.f64 x (.f64 #s(literal 2 binary64) (-.f64 x y)))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
✓	accuracy	96.6%	(-.f64 (.f64 x x) (.f64 x y))

Results

57.0ms

256×

valid

Compiler

Compiled 46 to 11 computations (76.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 15.0ms (74.2% of total)

ival-sub: 5.0ms (24.7% of total)

const: 0.0ms (0% of total)

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

series12.0ms (0.2%)

Counts

7 → 156

Calls

Call 1

Inputs
#<alt (* 2 (- (* x x) (* x y)))>
#<alt (- (* x x) (* x y))>
#<alt (* x x)>
#<alt (* x y)>
#<alt (* x (* 2 (- x y)))>
#<alt (* 2 (- x y))>
#<alt (- x y)>

Outputs
#<alt (* -2 (* x y))>
#<alt (* x (+ (* -2 y) (* 2 x)))>
#<alt (* x (+ (* -2 y) (* 2 x)))>
#<alt (* x (+ (* -2 y) (* 2 x)))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (+ 2 (* -2 (/ y x))))>
#<alt (* (pow x 2) (+ 2 (* -2 (/ y x))))>
#<alt (* (pow x 2) (+ 2 (* -2 (/ y x))))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (+ 2 (* -2 (/ y x))))>
#<alt (* (pow x 2) (+ 2 (* -2 (/ y x))))>
#<alt (* (pow x 2) (+ 2 (* -2 (/ y x))))>
#<alt (* 2 (pow x 2))>
#<alt (+ (* -2 (* x y)) (* 2 (pow x 2)))>
#<alt (+ (* -2 (* x y)) (* 2 (pow x 2)))>
#<alt (+ (* -2 (* x y)) (* 2 (pow x 2)))>
#<alt (* -2 (* x y))>
#<alt (* y (+ (* -2 x) (* 2 (/ (pow x 2) y))))>
#<alt (* y (+ (* -2 x) (* 2 (/ (pow x 2) y))))>
#<alt (* y (+ (* -2 x) (* 2 (/ (pow x 2) y))))>
#<alt (* -2 (* x y))>
#<alt (* -1 (* y (+ (* -2 (/ (pow x 2) y)) (* 2 x))))>
#<alt (* -1 (* y (+ (* -2 (/ (pow x 2) y)) (* 2 x))))>
#<alt (* -1 (* y (+ (* -2 (/ (pow x 2) y)) (* 2 x))))>
#<alt (* -1 (* x y))>
#<alt (* x (- x y))>
#<alt (* x (- x y))>
#<alt (* x (- x y))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ y x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ y x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ y x))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ y x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ y x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ y x))))>
#<alt (pow x 2)>
#<alt (+ (* -1 (* x y)) (pow x 2))>
#<alt (+ (* -1 (* x y)) (pow x 2))>
#<alt (+ (* -1 (* x y)) (pow x 2))>
#<alt (* -1 (* x y))>
#<alt (* y (- (/ (pow x 2) y) x))>
#<alt (* y (- (/ (pow x 2) y) x))>
#<alt (* y (- (/ (pow x 2) y) x))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -1 x))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* -2 (* x y))>
#<alt (* x (+ (* -2 y) (* 2 x)))>
#<alt (* x (+ (* -2 y) (* 2 x)))>
#<alt (* x (+ (* -2 y) (* 2 x)))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (+ 2 (* -2 (/ y x))))>
#<alt (* (pow x 2) (+ 2 (* -2 (/ y x))))>
#<alt (* (pow x 2) (+ 2 (* -2 (/ y x))))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (+ 2 (* -2 (/ y x))))>
#<alt (* (pow x 2) (+ 2 (* -2 (/ y x))))>
#<alt (* (pow x 2) (+ 2 (* -2 (/ y x))))>
#<alt (* 2 (pow x 2))>
#<alt (+ (* -2 (* x y)) (* 2 (pow x 2)))>
#<alt (+ (* -2 (* x y)) (* 2 (pow x 2)))>
#<alt (+ (* -2 (* x y)) (* 2 (pow x 2)))>
#<alt (* -2 (* x y))>
#<alt (* y (+ (* -2 x) (* 2 (/ (pow x 2) y))))>
#<alt (* y (+ (* -2 x) (* 2 (/ (pow x 2) y))))>
#<alt (* y (+ (* -2 x) (* 2 (/ (pow x 2) y))))>
#<alt (* -2 (* x y))>
#<alt (* -1 (* y (+ (* -2 (/ (pow x 2) y)) (* 2 x))))>
#<alt (* -1 (* y (+ (* -2 (/ (pow x 2) y)) (* 2 x))))>
#<alt (* -1 (* y (+ (* -2 (/ (pow x 2) y)) (* 2 x))))>
#<alt (* -2 y)>
#<alt (+ (* -2 y) (* 2 x))>
#<alt (+ (* -2 y) (* 2 x))>
#<alt (+ (* -2 y) (* 2 x))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* -2 (/ y x))))>
#<alt (* x (+ 2 (* -2 (/ y x))))>
#<alt (* x (+ 2 (* -2 (/ y x))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 2 (/ y x)) 2)))>
#<alt (* -1 (* x (- (* 2 (/ y x)) 2)))>
#<alt (* -1 (* x (- (* 2 (/ y x)) 2)))>
#<alt (* 2 x)>
#<alt (+ (* -2 y) (* 2 x))>
#<alt (+ (* -2 y) (* 2 x))>
#<alt (+ (* -2 y) (* 2 x))>
#<alt (* -2 y)>
#<alt (* y (- (* 2 (/ x y)) 2))>
#<alt (* y (- (* 2 (/ x y)) 2))>
#<alt (* y (- (* 2 (/ x y)) 2))>
#<alt (* -2 y)>
#<alt (* -1 (* y (+ 2 (* -2 (/ x y)))))>
#<alt (* -1 (* y (+ 2 (* -2 (/ x y)))))>
#<alt (* -1 (* y (+ 2 (* -2 (/ x y)))))>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>

Calls

39 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(* x (* 2 (- x y)))
1.0ms	x	@	inf	(- x y)
1.0ms	x	@	inf	(* 2 (- (* x x) (* x y)))
1.0ms	x	@	inf	(* x x)
1.0ms	x	@	0	(* 2 (- (* x x) (* x y)))

rewrite374.0ms (7.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3218×	`-lowering-.f32`
3218×	`-lowering-.f64`
1966×	`/-lowering-/.f32`
1966×	`/-lowering-/.f64`
1864×	`sum4-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	33
1	56	33
2	420	33
3	5598	33
0	8077	33

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 428

Calls

Call 1

Inputs
(* 2 (- (* x x) (* x y)))
(- (* x x) (* x y))
(* x x)
(* x y)
(* x (* 2 (- x y)))
(* 2 (- x y))
(- x y)

Outputs
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x (-.f64 x y))) (.f64 #s(literal 2 binary64) (.f64 #s(literal 0 binary64) (*.f64 x y))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x (-.f64 x y))) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 0 binary64) (.f64 x y)))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x (-.f64 x y))) (.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 0 binary64) (.f64 x y))) #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x (-.f64 x y))) (+.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 0 binary64) (.f64 x y))) (.f64 #s(literal 2 binary64) (.f64 #s(literal 0 binary64) (.f64 x y)))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 #s(literal -2 binary64) (.f64 x y)))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal 0 binary64) (.f64 x y)) (-.f64 #s(literal 0 binary64) (.f64 x y)))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 (+.f64 (.f64 #s(literal 0 binary64) (.f64 x y)) (-.f64 #s(literal 0 binary64) (.f64 x y))) #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal -2 binary64) (.f64 x y)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 0 binary64) (*.f64 x y)))))
(+.f64 (.f64 #s(literal -2 binary64) (.f64 x y)) (.f64 #s(literal 2 binary64) (.f64 x x)))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 0 binary64) (.f64 x y))) (.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y))))
(-.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 y (.f64 #s(literal 2 binary64) x)))
(-.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 (.f64 x y) #s(literal 2 binary64)))
(-.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 (.f64 #s(literal 2 binary64) x) y))
(-.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 #s(literal 2 binary64) (.f64 x y)))
(fma.f64 #s(literal 2 binary64) (.f64 x x) (.f64 #s(literal -2 binary64) (*.f64 x y)))
(fma.f64 #s(literal 2 binary64) (.f64 x (-.f64 x y)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 0 binary64) (.f64 x y))))
(fma.f64 x (.f64 #s(literal 2 binary64) (-.f64 x y)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 0 binary64) (.f64 x y))))
(fma.f64 x (.f64 #s(literal 2 binary64) x) (.f64 #s(literal -2 binary64) (*.f64 x y)))
(fma.f64 (.f64 x x) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (*.f64 x y)))
(fma.f64 (.f64 x (-.f64 x y)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 0 binary64) (.f64 x y))))
(fma.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) (.f64 #s(literal 0 binary64) (.f64 x y))))
(fma.f64 (.f64 #s(literal 2 binary64) (-.f64 x y)) x (.f64 #s(literal 2 binary64) (.f64 #s(literal 0 binary64) (.f64 x y))))
(fma.f64 (.f64 #s(literal 2 binary64) x) x (.f64 #s(literal -2 binary64) (*.f64 x y)))
(fma.f64 (.f64 #s(literal 2 binary64) x) (-.f64 x y) (.f64 #s(literal 2 binary64) (.f64 #s(literal 0 binary64) (.f64 x y))))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x y))))
(/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (.f64 y (+.f64 x y))) (.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (.f64 #s(literal 2 binary64) (.f64 x (-.f64 (.f64 x x) (.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 y (+.f64 x y))))) (.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 x y)) (.f64 (.f64 x (+.f64 x y)) (.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y))))))
(/.f64 (.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 #s(literal 2 binary64) x)) (+.f64 (.f64 x x) (.f64 y (+.f64 x y))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x (-.f64 (.f64 x x) (.f64 y y)))) (+.f64 x y))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 y (+.f64 x y))))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (-.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) (.f64 y y))) (neg.f64 (.f64 x (.f64 x (*.f64 x y))))))
(/.f64 (.f64 (.f64 x (+.f64 x y)) (.f64 #s(literal 2 binary64) (.f64 x (-.f64 x y)))) (*.f64 x (+.f64 x y)))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 #s(literal 2 binary64) x))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 x (-.f64 (.f64 x x) (.f64 y y))))) (-.f64 #s(literal 0 binary64) (+.f64 x y)))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 y (+.f64 x y)))))))
(/.f64 (neg.f64 (.f64 (.f64 x (+.f64 x y)) (.f64 #s(literal 2 binary64) (.f64 x (-.f64 x y))))) (*.f64 x (-.f64 #s(literal 0 binary64) (+.f64 x y))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x (-.f64 x y))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 0 binary64) (.f64 x y))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 x (-.f64 x y))) (.f64 #s(literal 2 binary64) (.f64 x (-.f64 x y)))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 0 binary64) (.f64 x y))) (.f64 #s(literal 2 binary64) (.f64 #s(literal 0 binary64) (.f64 x y)))) (.f64 (.f64 #s(literal 2 binary64) (.f64 x (-.f64 x y))) (.f64 #s(literal 2 binary64) (.f64 #s(literal 0 binary64) (*.f64 x y)))))))
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(/.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y y) (+.f64 (.f64 x x) (.f64 y y)))))
(/.f64 (.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 y (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (+.f64 (.f64 x x) (*.f64 y y)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal -1 binary64))
(.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (*.f64 y (+.f64 x y)))))
(.f64 (+.f64 (.f64 x x) (.f64 y (+.f64 x y))) (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 y (+.f64 x y))))))
(.f64 (+.f64 (.f64 x x) (.f64 y (+.f64 x y))) (/.f64 (-.f64 x y) (+.f64 (.f64 x x) (*.f64 y (+.f64 x y)))))
(.f64 (-.f64 (.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(.f64 (+.f64 x y) (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (+.f64 x y)))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (*.f64 y (+.f64 x y))))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x y))))
(*.f64 #s(literal 1 binary64) (-.f64 x y))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) (-.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 (.f64 x x) (*.f64 y y)))
(.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (-.f64 (.f64 x x) (*.f64 y y))) (-.f64 x y))
(.f64 (/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 y (+.f64 x y)) (.f64 (.f64 y y) (.f64 (+.f64 x y) (+.f64 x y)))))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y (+.f64 x y)) (-.f64 (.f64 y (+.f64 x y)) (.f64 x x)))))
(.f64 (/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y y) (.f64 (+.f64 x y) (+.f64 x y))))) (-.f64 (.f64 x x) (*.f64 y (+.f64 x y))))
(.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (+.f64 (.f64 x x) (*.f64 y (-.f64 y x))))

simplify143.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1784×	`sum4-define`
1658×	`-lowering-.f32`
1658×	`-lowering-.f64`
1270×	`fnmadd-define`
1146×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	756
1	228	756
2	636	756
3	2171	702
4	6630	702
0	8010	702

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

Inputs
(* -2 (* x y))
(* x (+ (* -2 y) (* 2 x)))
(* x (+ (* -2 y) (* 2 x)))
(* x (+ (* -2 y) (* 2 x)))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* -2 (/ y x))))
(* (pow x 2) (+ 2 (* -2 (/ y x))))
(* (pow x 2) (+ 2 (* -2 (/ y x))))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* -2 (/ y x))))
(* (pow x 2) (+ 2 (* -2 (/ y x))))
(* (pow x 2) (+ 2 (* -2 (/ y x))))
(* 2 (pow x 2))
(+ (* -2 (* x y)) (* 2 (pow x 2)))
(+ (* -2 (* x y)) (* 2 (pow x 2)))
(+ (* -2 (* x y)) (* 2 (pow x 2)))
(* -2 (* x y))
(* y (+ (* -2 x) (* 2 (/ (pow x 2) y))))
(* y (+ (* -2 x) (* 2 (/ (pow x 2) y))))
(* y (+ (* -2 x) (* 2 (/ (pow x 2) y))))
(* -2 (* x y))
(* -1 (* y (+ (* -2 (/ (pow x 2) y)) (* 2 x))))
(* -1 (* y (+ (* -2 (/ (pow x 2) y)) (* 2 x))))
(* -1 (* y (+ (* -2 (/ (pow x 2) y)) (* 2 x))))
(* -1 (* x y))
(* x (- x y))
(* x (- x y))
(* x (- x y))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ y x))))
(* (pow x 2) (+ 1 (* -1 (/ y x))))
(* (pow x 2) (+ 1 (* -1 (/ y x))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ y x))))
(* (pow x 2) (+ 1 (* -1 (/ y x))))
(* (pow x 2) (+ 1 (* -1 (/ y x))))
(pow x 2)
(+ (* -1 (* x y)) (pow x 2))
(+ (* -1 (* x y)) (pow x 2))
(+ (* -1 (* x y)) (pow x 2))
(* -1 (* x y))
(* y (- (/ (pow x 2) y) x))
(* y (- (/ (pow x 2) y) x))
(* y (- (/ (pow x 2) y) x))
(* -1 (* x y))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -1 x))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -2 (* x y))
(* x (+ (* -2 y) (* 2 x)))
(* x (+ (* -2 y) (* 2 x)))
(* x (+ (* -2 y) (* 2 x)))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* -2 (/ y x))))
(* (pow x 2) (+ 2 (* -2 (/ y x))))
(* (pow x 2) (+ 2 (* -2 (/ y x))))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* -2 (/ y x))))
(* (pow x 2) (+ 2 (* -2 (/ y x))))
(* (pow x 2) (+ 2 (* -2 (/ y x))))
(* 2 (pow x 2))
(+ (* -2 (* x y)) (* 2 (pow x 2)))
(+ (* -2 (* x y)) (* 2 (pow x 2)))
(+ (* -2 (* x y)) (* 2 (pow x 2)))
(* -2 (* x y))
(* y (+ (* -2 x) (* 2 (/ (pow x 2) y))))
(* y (+ (* -2 x) (* 2 (/ (pow x 2) y))))
(* y (+ (* -2 x) (* 2 (/ (pow x 2) y))))
(* -2 (* x y))
(* -1 (* y (+ (* -2 (/ (pow x 2) y)) (* 2 x))))
(* -1 (* y (+ (* -2 (/ (pow x 2) y)) (* 2 x))))
(* -1 (* y (+ (* -2 (/ (pow x 2) y)) (* 2 x))))
(* -2 y)
(+ (* -2 y) (* 2 x))
(+ (* -2 y) (* 2 x))
(+ (* -2 y) (* 2 x))
(* 2 x)
(* x (+ 2 (* -2 (/ y x))))
(* x (+ 2 (* -2 (/ y x))))
(* x (+ 2 (* -2 (/ y x))))
(* 2 x)
(* -1 (* x (- (* 2 (/ y x)) 2)))
(* -1 (* x (- (* 2 (/ y x)) 2)))
(* -1 (* x (- (* 2 (/ y x)) 2)))
(* 2 x)
(+ (* -2 y) (* 2 x))
(+ (* -2 y) (* 2 x))
(+ (* -2 y) (* 2 x))
(* -2 y)
(* y (- (* 2 (/ x y)) 2))
(* y (- (* 2 (/ x y)) 2))
(* y (- (* 2 (/ x y)) 2))
(* -2 y)
(* -1 (* y (+ 2 (* -2 (/ x y)))))
(* -1 (* y (+ 2 (* -2 (/ x y)))))
(* -1 (* y (+ 2 (* -2 (/ x y)))))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))

Outputs
(* -2 (* x y))
(.f64 #s(literal -2 binary64) (.f64 x y))
(* x (+ (* -2 y) (* 2 x)))
(.f64 #s(literal -2 binary64) (.f64 x (-.f64 y x)))
(* x (+ (* -2 y) (* 2 x)))
(.f64 #s(literal -2 binary64) (.f64 x (-.f64 y x)))
(* x (+ (* -2 y) (* 2 x)))
(.f64 #s(literal -2 binary64) (.f64 x (-.f64 y x)))
(* 2 (pow x 2))
(.f64 x (.f64 x #s(literal 2 binary64)))
(* (pow x 2) (+ 2 (* -2 (/ y x))))
(.f64 #s(literal -2 binary64) (.f64 x (-.f64 y x)))
(* (pow x 2) (+ 2 (* -2 (/ y x))))
(.f64 #s(literal -2 binary64) (.f64 x (-.f64 y x)))
(* (pow x 2) (+ 2 (* -2 (/ y x))))
(.f64 #s(literal -2 binary64) (.f64 x (-.f64 y x)))
(* 2 (pow x 2))
(.f64 x (.f64 x #s(literal 2 binary64)))
(* (pow x 2) (+ 2 (* -2 (/ y x))))
(.f64 #s(literal -2 binary64) (.f64 x (-.f64 y x)))
(* (pow x 2) (+ 2 (* -2 (/ y x))))
(.f64 #s(literal -2 binary64) (.f64 x (-.f64 y x)))
(* (pow x 2) (+ 2 (* -2 (/ y x))))
(.f64 #s(literal -2 binary64) (.f64 x (-.f64 y x)))
(* 2 (pow x 2))
(.f64 x (.f64 x #s(literal 2 binary64)))
(+ (* -2 (* x y)) (* 2 (pow x 2)))
(.f64 #s(literal -2 binary64) (.f64 x (-.f64 y x)))
(+ (* -2 (* x y)) (* 2 (pow x 2)))
(.f64 #s(literal -2 binary64) (.f64 x (-.f64 y x)))
(+ (* -2 (* x y)) (* 2 (pow x 2)))
(.f64 #s(literal -2 binary64) (.f64 x (-.f64 y x)))
(* -2 (* x y))
(.f64 #s(literal -2 binary64) (.f64 x y))
(* y (+ (* -2 x) (* 2 (/ (pow x 2) y))))
(.f64 #s(literal -2 binary64) (.f64 x (-.f64 y x)))
(* y (+ (* -2 x) (* 2 (/ (pow x 2) y))))
(.f64 #s(literal -2 binary64) (.f64 x (-.f64 y x)))
(* y (+ (* -2 x) (* 2 (/ (pow x 2) y))))
(.f64 #s(literal -2 binary64) (.f64 x (-.f64 y x)))
(* -2 (* x y))
(.f64 #s(literal -2 binary64) (.f64 x y))
(* -1 (* y (+ (* -2 (/ (pow x 2) y)) (* 2 x))))
(.f64 #s(literal -2 binary64) (.f64 x (-.f64 y x)))
(* -1 (* y (+ (* -2 (/ (pow x 2) y)) (* 2 x))))
(.f64 #s(literal -2 binary64) (.f64 x (-.f64 y x)))
(* -1 (* y (+ (* -2 (/ (pow x 2) y)) (* 2 x))))
(.f64 #s(literal -2 binary64) (.f64 x (-.f64 y x)))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(* x (- x y))
(*.f64 x (-.f64 x y))
(* x (- x y))
(*.f64 x (-.f64 x y))
(* x (- x y))
(*.f64 x (-.f64 x y))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ y x))))
(*.f64 x (-.f64 x y))
(* (pow x 2) (+ 1 (* -1 (/ y x))))
(*.f64 x (-.f64 x y))
(* (pow x 2) (+ 1 (* -1 (/ y x))))
(*.f64 x (-.f64 x y))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ y x))))
(*.f64 x (-.f64 x y))
(* (pow x 2) (+ 1 (* -1 (/ y x))))
(*.f64 x (-.f64 x y))
(* (pow x 2) (+ 1 (* -1 (/ y x))))
(*.f64 x (-.f64 x y))
(pow x 2)
(*.f64 x x)
(+ (* -1 (* x y)) (pow x 2))
(*.f64 x (-.f64 x y))
(+ (* -1 (* x y)) (pow x 2))
(*.f64 x (-.f64 x y))
(+ (* -1 (* x y)) (pow x 2))
(*.f64 x (-.f64 x y))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(* y (- (/ (pow x 2) y) x))
(*.f64 x (-.f64 x y))
(* y (- (/ (pow x 2) y) x))
(*.f64 x (-.f64 x y))
(* y (- (/ (pow x 2) y) x))
(*.f64 x (-.f64 x y))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -1 x))))
(*.f64 x (-.f64 x y))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -1 x))))
(*.f64 x (-.f64 x y))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -1 x))))
(*.f64 x (-.f64 x y))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* -2 (* x y))
(.f64 #s(literal -2 binary64) (.f64 x y))
(* x (+ (* -2 y) (* 2 x)))
(.f64 #s(literal -2 binary64) (.f64 x (-.f64 y x)))
(* x (+ (* -2 y) (* 2 x)))
(.f64 #s(literal -2 binary64) (.f64 x (-.f64 y x)))
(* x (+ (* -2 y) (* 2 x)))
(.f64 #s(literal -2 binary64) (.f64 x (-.f64 y x)))
(* 2 (pow x 2))
(.f64 x (.f64 x #s(literal 2 binary64)))
(* (pow x 2) (+ 2 (* -2 (/ y x))))
(.f64 #s(literal -2 binary64) (.f64 x (-.f64 y x)))
(* (pow x 2) (+ 2 (* -2 (/ y x))))
(.f64 #s(literal -2 binary64) (.f64 x (-.f64 y x)))
(* (pow x 2) (+ 2 (* -2 (/ y x))))
(.f64 #s(literal -2 binary64) (.f64 x (-.f64 y x)))
(* 2 (pow x 2))
(.f64 x (.f64 x #s(literal 2 binary64)))
(* (pow x 2) (+ 2 (* -2 (/ y x))))
(.f64 #s(literal -2 binary64) (.f64 x (-.f64 y x)))
(* (pow x 2) (+ 2 (* -2 (/ y x))))
(.f64 #s(literal -2 binary64) (.f64 x (-.f64 y x)))
(* (pow x 2) (+ 2 (* -2 (/ y x))))
(.f64 #s(literal -2 binary64) (.f64 x (-.f64 y x)))
(* 2 (pow x 2))
(.f64 x (.f64 x #s(literal 2 binary64)))
(+ (* -2 (* x y)) (* 2 (pow x 2)))
(.f64 #s(literal -2 binary64) (.f64 x (-.f64 y x)))
(+ (* -2 (* x y)) (* 2 (pow x 2)))
(.f64 #s(literal -2 binary64) (.f64 x (-.f64 y x)))
(+ (* -2 (* x y)) (* 2 (pow x 2)))
(.f64 #s(literal -2 binary64) (.f64 x (-.f64 y x)))
(* -2 (* x y))
(.f64 #s(literal -2 binary64) (.f64 x y))
(* y (+ (* -2 x) (* 2 (/ (pow x 2) y))))
(.f64 #s(literal -2 binary64) (.f64 x (-.f64 y x)))
(* y (+ (* -2 x) (* 2 (/ (pow x 2) y))))
(.f64 #s(literal -2 binary64) (.f64 x (-.f64 y x)))
(* y (+ (* -2 x) (* 2 (/ (pow x 2) y))))
(.f64 #s(literal -2 binary64) (.f64 x (-.f64 y x)))
(* -2 (* x y))
(.f64 #s(literal -2 binary64) (.f64 x y))
(* -1 (* y (+ (* -2 (/ (pow x 2) y)) (* 2 x))))
(.f64 #s(literal -2 binary64) (.f64 x (-.f64 y x)))
(* -1 (* y (+ (* -2 (/ (pow x 2) y)) (* 2 x))))
(.f64 #s(literal -2 binary64) (.f64 x (-.f64 y x)))
(* -1 (* y (+ (* -2 (/ (pow x 2) y)) (* 2 x))))
(.f64 #s(literal -2 binary64) (.f64 x (-.f64 y x)))
(* -2 y)
(*.f64 #s(literal -2 binary64) y)
(+ (* -2 y) (* 2 x))
(*.f64 #s(literal -2 binary64) (-.f64 y x))
(+ (* -2 y) (* 2 x))
(*.f64 #s(literal -2 binary64) (-.f64 y x))
(+ (* -2 y) (* 2 x))
(*.f64 #s(literal -2 binary64) (-.f64 y x))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* -2 (/ y x))))
(*.f64 #s(literal -2 binary64) (-.f64 y x))
(* x (+ 2 (* -2 (/ y x))))
(*.f64 #s(literal -2 binary64) (-.f64 y x))
(* x (+ 2 (* -2 (/ y x))))
(*.f64 #s(literal -2 binary64) (-.f64 y x))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* -1 (* x (- (* 2 (/ y x)) 2)))
(*.f64 #s(literal -2 binary64) (-.f64 y x))
(* -1 (* x (- (* 2 (/ y x)) 2)))
(*.f64 #s(literal -2 binary64) (-.f64 y x))
(* -1 (* x (- (* 2 (/ y x)) 2)))
(*.f64 #s(literal -2 binary64) (-.f64 y x))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(+ (* -2 y) (* 2 x))
(*.f64 #s(literal -2 binary64) (-.f64 y x))
(+ (* -2 y) (* 2 x))
(*.f64 #s(literal -2 binary64) (-.f64 y x))
(+ (* -2 y) (* 2 x))
(*.f64 #s(literal -2 binary64) (-.f64 y x))
(* -2 y)
(*.f64 #s(literal -2 binary64) y)
(* y (- (* 2 (/ x y)) 2))
(*.f64 #s(literal -2 binary64) (-.f64 y x))
(* y (- (* 2 (/ x y)) 2))
(*.f64 #s(literal -2 binary64) (-.f64 y x))
(* y (- (* 2 (/ x y)) 2))
(*.f64 #s(literal -2 binary64) (-.f64 y x))
(* -2 y)
(*.f64 #s(literal -2 binary64) y)
(* -1 (* y (+ 2 (* -2 (/ x y)))))
(*.f64 #s(literal -2 binary64) (-.f64 y x))
(* -1 (* y (+ 2 (* -2 (/ x y)))))
(*.f64 #s(literal -2 binary64) (-.f64 y x))
(* -1 (* y (+ 2 (* -2 (/ x y)))))
(*.f64 #s(literal -2 binary64) (-.f64 y x))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)

eval84.0ms (1.6%)

Compiler: Compiled 14127 to 1119 computations (92.1% saved)

prune49.0ms (1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	582	2	584
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	582	4	586

Accuracy

100.0%

Counts

586 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.3%	(.f64 x (.f64 x #s(literal 2 binary64)))
✓	100.0%	(.f64 x (.f64 #s(literal 2 binary64) (-.f64 x y)))
▶	56.1%	(.f64 x (.f64 #s(literal -2 binary64) y))
✓	96.1%	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))

Compiler

Compiled 34 to 23 computations (32.4% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 x #s(literal 2 binary64))
✓	cost-diff	(.f64 x (.f64 x #s(literal 2 binary64)))
✓	cost-diff	(*.f64 #s(literal -2 binary64) y)
✓	cost-diff	(.f64 x (.f64 #s(literal -2 binary64) y))

Rules

38×	`-lowering-.f32`
38×	`-lowering-.f64`
14×	`*-commutative`
8×	`associate-r`
8×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	16	21
2	24	21
3	26	21
0	26	21

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* x (* -2 y))
x
(* -2 y)
-2
y
(* x (* x 2))
x
(* x 2)
2

Outputs
(* x (* -2 y))
(.f64 y (.f64 x #s(literal -2 binary64)))
x
(* -2 y)
(*.f64 #s(literal -2 binary64) y)
-2
#s(literal -2 binary64)
y
(* x (* x 2))
(.f64 x (.f64 x #s(literal 2 binary64)))
x
(* x 2)
(*.f64 x #s(literal 2 binary64))
2
#s(literal 2 binary64)

localize32.0ms (0.6%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 x (.f64 x #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(.f64 x (.f64 #s(literal -2 binary64) y))
✓	accuracy	100.0%	(*.f64 #s(literal -2 binary64) y)

Results

22.0ms

256×

valid

Compiler

Compiled 24 to 9 computations (62.5% saved)

Precisions

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

ival-mult: 7.0ms (90% of total)

const: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Counts

4 → 60

Calls

Call 1

Inputs
#<alt (* x (* -2 y))>
#<alt (* -2 y)>
#<alt (* x (* x 2))>
#<alt (* x 2)>

Outputs
#<alt (* -2 (* x y))>
#<alt (* -2 (* x y))>
#<alt (* -2 (* x y))>
#<alt (* -2 (* x y))>
#<alt (* -2 (* x y))>
#<alt (* -2 (* x y))>
#<alt (* -2 (* x y))>
#<alt (* -2 (* x y))>
#<alt (* -2 (* x y))>
#<alt (* -2 (* x y))>
#<alt (* -2 (* x y))>
#<alt (* -2 (* x y))>
#<alt (* -2 (* x y))>
#<alt (* -2 (* x y))>
#<alt (* -2 (* x y))>
#<alt (* -2 (* x y))>
#<alt (* -2 (* x y))>
#<alt (* -2 (* x y))>
#<alt (* -2 (* x y))>
#<alt (* -2 (* x y))>
#<alt (* -2 (* x y))>
#<alt (* -2 (* x y))>
#<alt (* -2 (* x y))>
#<alt (* -2 (* x y))>
#<alt (* -2 y)>
#<alt (* -2 y)>
#<alt (* -2 y)>
#<alt (* -2 y)>
#<alt (* -2 y)>
#<alt (* -2 y)>
#<alt (* -2 y)>
#<alt (* -2 y)>
#<alt (* -2 y)>
#<alt (* -2 y)>
#<alt (* -2 y)>
#<alt (* -2 y)>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(* x (* -2 y))
0.0ms	x	@	0	(* x (* -2 y))
0.0ms	y	@	inf	(* -2 y)
0.0ms	y	@	-inf	(* -2 y)
0.0ms	x	@	0	(* x (* x 2))

rewrite175.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2200×	`pow-lowering-pow.f64`
2200×	`pow-lowering-pow.f32`
1432×	`prod-exp`
1316×	`-lowering-.f32`
1316×	`-lowering-.f64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	16	20
2	25	20
3	34	20
4	50	20
5	118	20
6	354	8
7	2079	8
8	2108	8
9	2238	8
10	3500	8
0	8767	8

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 10

Calls

Call 1

Inputs
(* x (* -2 y))
(* -2 y)
(* x (* x 2))
(* x 2)

Outputs
(.f64 #s(literal 1 binary64) (.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) y)
(.f64 (.f64 y #s(literal -2 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) y)
(.f64 (.f64 y #s(literal -2 binary64)) #s(literal 1 binary64))
#s(literal 2 binary64)
#s(literal 2 binary64)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

38×	`-lowering-.f32`
38×	`-lowering-.f64`
14×	`*-commutative`
6×	`associate-r`
6×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	252
1	18	252
2	25	252
0	25	252

Stop Event

1×	iter limit
1×	saturated

Counts

60 → 60

Calls

Call 1

Inputs
(* -2 (* x y))
(* -2 (* x y))
(* -2 (* x y))
(* -2 (* x y))
(* -2 (* x y))
(* -2 (* x y))
(* -2 (* x y))
(* -2 (* x y))
(* -2 (* x y))
(* -2 (* x y))
(* -2 (* x y))
(* -2 (* x y))
(* -2 (* x y))
(* -2 (* x y))
(* -2 (* x y))
(* -2 (* x y))
(* -2 (* x y))
(* -2 (* x y))
(* -2 (* x y))
(* -2 (* x y))
(* -2 (* x y))
(* -2 (* x y))
(* -2 (* x y))
(* -2 (* x y))
(* -2 y)
(* -2 y)
(* -2 y)
(* -2 y)
(* -2 y)
(* -2 y)
(* -2 y)
(* -2 y)
(* -2 y)
(* -2 y)
(* -2 y)
(* -2 y)
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)

Outputs
(* -2 (* x y))
(.f64 #s(literal -2 binary64) (.f64 x y))
(* -2 (* x y))
(.f64 #s(literal -2 binary64) (.f64 x y))
(* -2 (* x y))
(.f64 #s(literal -2 binary64) (.f64 x y))
(* -2 (* x y))
(.f64 #s(literal -2 binary64) (.f64 x y))
(* -2 (* x y))
(.f64 #s(literal -2 binary64) (.f64 x y))
(* -2 (* x y))
(.f64 #s(literal -2 binary64) (.f64 x y))
(* -2 (* x y))
(.f64 #s(literal -2 binary64) (.f64 x y))
(* -2 (* x y))
(.f64 #s(literal -2 binary64) (.f64 x y))
(* -2 (* x y))
(.f64 #s(literal -2 binary64) (.f64 x y))
(* -2 (* x y))
(.f64 #s(literal -2 binary64) (.f64 x y))
(* -2 (* x y))
(.f64 #s(literal -2 binary64) (.f64 x y))
(* -2 (* x y))
(.f64 #s(literal -2 binary64) (.f64 x y))
(* -2 (* x y))
(.f64 #s(literal -2 binary64) (.f64 x y))
(* -2 (* x y))
(.f64 #s(literal -2 binary64) (.f64 x y))
(* -2 (* x y))
(.f64 #s(literal -2 binary64) (.f64 x y))
(* -2 (* x y))
(.f64 #s(literal -2 binary64) (.f64 x y))
(* -2 (* x y))
(.f64 #s(literal -2 binary64) (.f64 x y))
(* -2 (* x y))
(.f64 #s(literal -2 binary64) (.f64 x y))
(* -2 (* x y))
(.f64 #s(literal -2 binary64) (.f64 x y))
(* -2 (* x y))
(.f64 #s(literal -2 binary64) (.f64 x y))
(* -2 (* x y))
(.f64 #s(literal -2 binary64) (.f64 x y))
(* -2 (* x y))
(.f64 #s(literal -2 binary64) (.f64 x y))
(* -2 (* x y))
(.f64 #s(literal -2 binary64) (.f64 x y))
(* -2 (* x y))
(.f64 #s(literal -2 binary64) (.f64 x y))
(* -2 y)
(*.f64 #s(literal -2 binary64) y)
(* -2 y)
(*.f64 #s(literal -2 binary64) y)
(* -2 y)
(*.f64 #s(literal -2 binary64) y)
(* -2 y)
(*.f64 #s(literal -2 binary64) y)
(* -2 y)
(*.f64 #s(literal -2 binary64) y)
(* -2 y)
(*.f64 #s(literal -2 binary64) y)
(* -2 y)
(*.f64 #s(literal -2 binary64) y)
(* -2 y)
(*.f64 #s(literal -2 binary64) y)
(* -2 y)
(*.f64 #s(literal -2 binary64) y)
(* -2 y)
(*.f64 #s(literal -2 binary64) y)
(* -2 y)
(*.f64 #s(literal -2 binary64) y)
(* -2 y)
(*.f64 #s(literal -2 binary64) y)
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))

eval14.0ms (0.3%)

Compiler: Compiled 346 to 19 computations (94.5% saved)

prune4.0ms (0.1%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	67	3	70
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	67	7	74

Accuracy

100.0%

Counts

74 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	3.2%	(*.f64 y #s(literal -2 binary64))
✓	54.3%	(.f64 x (.f64 x #s(literal 2 binary64)))
✓	100.0%	(.f64 x (.f64 #s(literal 2 binary64) (-.f64 x y)))
✓	56.1%	(.f64 x (.f64 #s(literal -2 binary64) y))
▶	4.5%	(*.f64 x #s(literal 2 binary64))
✓	96.1%	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
▶	3.9%	#s(literal 2 binary64)

Compiler

Compiled 47 to 34 computations (27.7% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y #s(literal -2 binary64))
✓	cost-diff	0	(*.f64 x #s(literal 2 binary64))

Rules

8×	`-lowering-.f32`
8×	`-lowering-.f64`
4×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	8	11
0	8	11

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
2
(* x 2)
x
2
(* y -2)
y
-2

Outputs
2
#s(literal 2 binary64)
(* x 2)
(*.f64 #s(literal 2 binary64) x)
x
2
#s(literal 2 binary64)
(* y -2)
(*.f64 y #s(literal -2 binary64))
y
-2
#s(literal -2 binary64)

localize25.0ms (0.5%)

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y #s(literal -2 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))

Results

18.0ms

256×

valid

Compiler

Compiled 14 to 7 computations (50% saved)

Precisions

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

ival-mult: 7.0ms (87.9% of total)

const: 1.0ms (12.6% of total)

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

series0.0ms (0%)

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (* x 2)>
#<alt (* y -2)>

Outputs
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* -2 y)>
#<alt (* -2 y)>
#<alt (* -2 y)>
#<alt (* -2 y)>
#<alt (* -2 y)>
#<alt (* -2 y)>
#<alt (* -2 y)>
#<alt (* -2 y)>
#<alt (* -2 y)>
#<alt (* -2 y)>
#<alt (* -2 y)>
#<alt (* -2 y)>

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	-inf	(* y -2)
0.0ms	y	@	0	(* y -2)
0.0ms	x	@	0	(* x 2)
0.0ms	y	@	inf	(* y -2)
0.0ms	x	@	inf	(* x 2)

rewrite16.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

8×	`-lowering-.f32`
8×	`-lowering-.f64`
4×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	6
1	8	6
0	8	6

Stop Event

1×	iter limit
1×	saturated

Counts

2 → 4

Calls

Call 1

Inputs
(* x 2)
(* y -2)

Outputs
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.f64 y #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) y)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`-lowering-.f32`
8×	`-lowering-.f64`
4×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	72
1	8	72
0	8	72

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

Calls

Call 1

Inputs
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* -2 y)
(* -2 y)
(* -2 y)
(* -2 y)
(* -2 y)
(* -2 y)
(* -2 y)
(* -2 y)
(* -2 y)
(* -2 y)
(* -2 y)
(* -2 y)

Outputs
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* -2 y)
(*.f64 #s(literal -2 binary64) y)
(* -2 y)
(*.f64 #s(literal -2 binary64) y)
(* -2 y)
(*.f64 #s(literal -2 binary64) y)
(* -2 y)
(*.f64 #s(literal -2 binary64) y)
(* -2 y)
(*.f64 #s(literal -2 binary64) y)
(* -2 y)
(*.f64 #s(literal -2 binary64) y)
(* -2 y)
(*.f64 #s(literal -2 binary64) y)
(* -2 y)
(*.f64 #s(literal -2 binary64) y)
(* -2 y)
(*.f64 #s(literal -2 binary64) y)
(* -2 y)
(*.f64 #s(literal -2 binary64) y)
(* -2 y)
(*.f64 #s(literal -2 binary64) y)
(* -2 y)
(*.f64 #s(literal -2 binary64) y)

eval6.0ms (0.1%)

Compiler: Compiled 86 to 8 computations (90.7% saved)

prune4.0ms (0.1%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	28	0	28
Fresh	0	0	0
Picked	0	3	3
Done	0	4	4
Total	28	7	35

Accuracy

100.0%

Counts

35 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	3.2%	(*.f64 y #s(literal -2 binary64))
✓	54.3%	(.f64 x (.f64 x #s(literal 2 binary64)))
✓	100.0%	(.f64 x (.f64 #s(literal 2 binary64) (-.f64 x y)))
✓	56.1%	(.f64 x (.f64 #s(literal -2 binary64) y))
✓	4.5%	(*.f64 x #s(literal 2 binary64))
✓	96.1%	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
✓	3.9%	#s(literal 2 binary64)

Compiler

Compiled 82 to 50 computations (39% saved)

regimes14.0ms (0.3%)

Counts

7 → 1

Calls

Call 1

Inputs
#s(literal 2 binary64)
(*.f64 x #s(literal 2 binary64))
(*.f64 y #s(literal -2 binary64))
(.f64 x (.f64 #s(literal -2 binary64) y))
(.f64 x (.f64 x #s(literal 2 binary64)))
(.f64 x (.f64 #s(literal 2 binary64) (-.f64 x y)))
(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))

Outputs
(.f64 x (.f64 #s(literal 2 binary64) (-.f64 x y)))

Calls

4 calls:

5.0ms	y
3.0ms	x
3.0ms	(-.f64 (.f64 x x) (.f64 x y))
3.0ms	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))`
100.0%	1	`(-.f64 (.f64 x x) (.f64 x y))`

Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes6.0ms (0.1%)

Counts

5 → 3

Calls

Call 1

Inputs
#s(literal 2 binary64)
(*.f64 x #s(literal 2 binary64))
(*.f64 y #s(literal -2 binary64))
(.f64 x (.f64 #s(literal -2 binary64) y))
(.f64 x (.f64 x #s(literal 2 binary64)))

Outputs
(.f64 x (.f64 #s(literal -2 binary64) y))
(.f64 x (.f64 x #s(literal 2 binary64)))
(.f64 x (.f64 #s(literal -2 binary64) y))

Calls

2 calls:

3.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
82.0%	3	`x`
85.2%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

Inputs
#s(literal 2 binary64)
(*.f64 x #s(literal 2 binary64))
(*.f64 y #s(literal -2 binary64))
(.f64 x (.f64 #s(literal -2 binary64) y))

Outputs
(.f64 x (.f64 #s(literal -2 binary64) y))

Calls

2 calls:

4.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
56.1%	1	`x`
56.1%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
#s(literal 2 binary64)
(*.f64 x #s(literal 2 binary64))
(*.f64 y #s(literal -2 binary64))

Outputs
(*.f64 x #s(literal 2 binary64))

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
4.5%	1	`x`
4.5%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 2 binary64)

Outputs
#s(literal 2 binary64)

Calls

2 calls:

1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
3.9%	1	`x`
3.9%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch29.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.2890753398158603e-73	6.899743278252493e-73
17.0ms	-4.3829098242289345e+35	-4.902116524092763e+27

Results

19.0ms

240×

valid

Compiler

Compiled 256 to 191 computations (25.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 10.0ms (87.1% of total)

ival-sub: 1.0ms (8.7% of total)

const: 0.0ms (0% of total)

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

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	35
1	28	35
2	33	35
3	35	35
4	36	35

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 x (.f64 #s(literal 2 binary64) (-.f64 x y)))
(if (<=.f64 y #s(literal -510000000000000003948709180080128 binary64)) (.f64 x (.f64 #s(literal -2 binary64) y)) (if (<=.f64 y #s(literal 5410876812138479/7957171782556586274486115970349133441607298412757563479047423630290551952200534008528896 binary64)) (.f64 x (.f64 x #s(literal 2 binary64))) (.f64 x (.f64 #s(literal -2 binary64) y))))
(.f64 x (.f64 #s(literal -2 binary64) y))
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)

Outputs
(.f64 x (.f64 #s(literal 2 binary64) (-.f64 x y)))
(if (<=.f64 y #s(literal -510000000000000003948709180080128 binary64)) (.f64 x (.f64 #s(literal -2 binary64) y)) (if (<=.f64 y #s(literal 5410876812138479/7957171782556586274486115970349133441607298412757563479047423630290551952200534008528896 binary64)) (.f64 x (.f64 x #s(literal 2 binary64))) (.f64 x (.f64 #s(literal -2 binary64) y))))
(if (<=.f64 y #s(literal -510000000000000003948709180080128 binary64)) (.f64 x (.f64 y #s(literal -2 binary64))) (if (<=.f64 y #s(literal 5410876812138479/7957171782556586274486115970349133441607298412757563479047423630290551952200534008528896 binary64)) (.f64 x (.f64 x #s(literal 2 binary64))) (.f64 x (.f64 y #s(literal -2 binary64)))))
(.f64 x (.f64 #s(literal -2 binary64) y))
(.f64 x (.f64 y #s(literal -2 binary64)))
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)

soundness2.9s (56.2%)

Rules

2200×	`pow-lowering-pow.f64`
2200×	`pow-lowering-pow.f32`
1784×	`sum4-define`
1658×	`-lowering-.f32`
1658×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	756
1	228	756
2	636	756
3	2171	702
4	6630	702
0	8010	702
0	7	7
1	18	7
2	43	7
3	104	7
4	210	7
5	339	7
6	667	7
7	1635	7
8	2562	7
9	3337	7
10	3601	7
0	3601	7
0	8	20
1	16	20
2	25	20
3	34	20
4	50	20
5	118	20
6	354	8
7	2079	8
8	2108	8
9	2238	8
10	3500	8
0	8767	8

Stop Event

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

Compiler

Compiled 103 to 60 computations (41.7% saved)

preprocess40.0ms (0.8%)

Compiler: Compiled 122 to 60 computations (50.8% saved)

Linear.Matrix:fromQuaternion from linear-1.19.1.3, A

analyze0.0ms (0%)

sample771.0ms (15%)

preprocess179.0ms (3.5%)

explain69.0ms (1.3%)

eval0.0ms (0%)

prune3.0ms (0.1%)

simplify74.0ms (1.5%)

localize74.0ms (1.4%)

series12.0ms (0.2%)

rewrite374.0ms (7.3%)

simplify143.0ms (2.8%)

eval84.0ms (1.6%)

prune49.0ms (1%)

simplify5.0ms (0.1%)

localize32.0ms (0.6%)

series4.0ms (0.1%)

rewrite175.0ms (3.4%)

simplify8.0ms (0.2%)

eval14.0ms (0.3%)

prune4.0ms (0.1%)

simplify7.0ms (0.1%)

localize25.0ms (0.5%)

series0.0ms (0%)

rewrite16.0ms (0.3%)

simplify5.0ms (0.1%)

eval6.0ms (0.1%)

prune4.0ms (0.1%)

regimes14.0ms (0.3%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch29.0ms (0.6%)

simplify8.0ms (0.2%)

soundness2.9s (56.2%)

preprocess40.0ms (0.8%)

end0.0ms (0%)

Profiling