Metrics for Diagrams.Solve.Polynomial:cubForm from diagrams-solve-0.1, G

analyze0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

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 9 to 9 computations (0% saved)

sample852.0ms (18.1%)

Memory

6.0MiB live, 671.6MiB allocated

Samples

594.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 276.0ms

ival-div: 146.0ms (52.8% of total)

ival-mult: 76.0ms (27.5% of total)

ival-add: 39.0ms (14.1% of total)

exact: 7.0ms (2.5% of total)

ival-true: 5.0ms (1.8% of total)

ival-assert: 3.0ms (1.1% of total)

Bogosity

preprocess50.0ms (1.1%)

Memory

-3.2MiB live, 36.2MiB allocated

Algorithm

2×	egg-herbie

Rules

54×	`distribute-lft-neg-in`
52×	`sub-neg`
46×	`distribute-lft-in`
42×	`distribute-rgt-in`
42×	`associate--r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	32
1	59	30
2	166	30
3	277	30
4	378	30
5	433	30
6	444	30
0	8	5
1	18	5
2	20	5
0	20	5

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

Inputs
(* (/ 1 2) (+ x y))
(* (/ 1 2) (+ (neg x) y))
(* (/ 1 2) (+ x (neg y)))
(neg (* (/ 1 2) (+ (neg x) y)))
(neg (* (/ 1 2) (+ x (neg y))))
(* (/ 1 2) (+ y x))

Outputs
(* (/ 1 2) (+ x y))
(* 1/2 (+ x y))
(* (/ 1 2) (+ (neg x) y))
(* 1/2 (- y x))
(* (/ 1 2) (+ x (neg y)))
(* 1/2 (- x y))
(neg (* (/ 1 2) (+ (neg x) y)))
(* 1/2 (- x y))
(neg (* (/ 1 2) (+ x (neg y))))
(* 1/2 (- y x))
(* (/ 1 2) (+ y x))
(* 1/2 (+ x y))

Symmetry

(sort x y)

explain198.0ms (4.2%)

Memory

-13.4MiB live, 149.8MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))`
-	-	`(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))`
-	-	`#s(literal 2 binary64)`
-	-	`y`
-	-	`#s(literal 1 binary64)`
-	-	`(+.f64 x y)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

130.0ms

512×

valid

Compiler

Compiled 56 to 32 computations (42.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-add: 40.0ms (48.6% of total)

ival-div: 38.0ms (46.2% of total)

ival-mult: 3.0ms (3.6% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify4.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))

Rules

12×	`-lowering-.f32`
12×	`-lowering-.f64`
8×	`+-lowering-+.f64`
8×	`+-lowering-+.f32`
8×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	18	13
2	20	13
0	20	13

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize39.0ms (0.8%)

Memory

-7.4MiB live, 33.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))

Samples

31.0ms

256×

valid

Compiler

Compiled 19 to 9 computations (52.6% saved)

Precisions

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

ival-div: 22.0ms (88.6% of total)

ival-add: 1.0ms (4% of total)

ival-mult: 1.0ms (4% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Memory

4.5MiB live, 4.6MiB allocated

Counts

3 → 48

Calls

Call 1

Inputs
#<alt (/ 1 2)>
#<alt (* (/ 1 2) (+ x y))>
#<alt (+ x y)>

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

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(* (/ 1 2) (+ x y))
0.0ms	x	@	-inf	(* (/ 1 2) (+ x y))
0.0ms	y	@	inf	(* (/ 1 2) (+ x y))
0.0ms	x	@	0	(* (/ 1 2) (+ x y))
0.0ms	x	@	inf	(+ x y)

rewrite792.0ms (16.8%)

Memory

28.9MiB live, 545.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 694×	`accelerator-lowering-fma.f32`
8 694×	`accelerator-lowering-fma.f64`
4 456×	`/-lowering-/.f32`
4 456×	`/-lowering-/.f64`
3 962×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	31	9
2	179	9
3	1524	9
0	8422	9

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 254

Calls

Call 1

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

Outputs
#s(literal 1/2 binary64)
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) y))
(+.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) x))
(+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 x y))) (neg.f64 (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 x y)))))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 x y))) (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 x y))))
(-.f64 (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) y (.f64 #s(literal -1/2 binary64) x))) (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) y (.f64 #s(literal -1/2 binary64) x))))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 y #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 x y))) (neg.f64 (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 x y))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y y) #s(literal 1/4 binary64) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x (.f64 #s(literal 1/2 binary64) y))))) (fma.f64 (.f64 y (.f64 y y)) #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (.f64 #s(literal -1/2 binary64) x)) (fma.f64 (.f64 y y) #s(literal 1/4 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 x y) (.f64 y y))) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x x) (.f64 y (*.f64 y y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) y) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 (+.f64 x y) (-.f64 x y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 x y) (-.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 x y) (.f64 y y))) (.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x x) (.f64 y (*.f64 y y)))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) y) (.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 x y) (-.f64 x y))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (.f64 (.f64 (+.f64 x y) (-.f64 y x)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) y) (fma.f64 #s(literal 1/2 binary64) y (*.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (fma.f64 (.f64 y y) #s(literal 1/4 binary64) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x (.f64 #s(literal 1/2 binary64) y))))))
(/.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 #s(literal -1/4 binary64) (.f64 y y))) (.f64 #s(literal 1/2 binary64) (-.f64 x y)))
(/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 x y) (-.f64 x y))) (-.f64 x y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 x y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 y (.f64 y y)) #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) y) (fma.f64 #s(literal 1/2 binary64) y (*.f64 #s(literal -1/2 binary64) x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 y (.f64 y y)) #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (.f64 y y) #s(literal 1/4 binary64) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x (.f64 #s(literal 1/2 binary64) y)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 #s(literal -1/4 binary64) (.f64 y y)))) (-.f64 #s(literal 0 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 x y))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))))) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 x y) (-.f64 x y)))) (+.f64 (-.f64 #s(literal 0 binary64) x) y))
(/.f64 (fma.f64 (.f64 y y) #s(literal 1/4 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x))) (fma.f64 #s(literal 1/2 binary64) y (.f64 #s(literal -1/2 binary64) x)))
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))))) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 (+.f64 x y) (-.f64 x y)))) (+.f64 (-.f64 #s(literal 0 binary64) x) y))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 x y) (-.f64 y x))) (-.f64 y x))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 x y) (-.f64 x y))) #s(literal 1/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) x) y))
(/.f64 (.f64 (.f64 (+.f64 x y) (-.f64 y x)) #s(literal 1/2 binary64)) (-.f64 y x))
(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 x y))) (.f64 (.f64 #s(literal 1/2 binary64) (-.f64 x y)) (.f64 (.f64 y y) #s(literal 1/4 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) (-.f64 x y))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 y (.f64 y y)) #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) y) (fma.f64 #s(literal 1/2 binary64) y (*.f64 #s(literal -1/2 binary64) x)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 #s(literal -1/4 binary64) (.f64 y y))))) (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 x y)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 x y) (-.f64 x y))))) (-.f64 x y))
(/.f64 (neg.f64 (fma.f64 (.f64 y y) #s(literal 1/4 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) y (.f64 #s(literal -1/2 binary64) x))))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 (+.f64 x y) (-.f64 x y))))) (-.f64 x y))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 x y) (-.f64 y x)))) (-.f64 #s(literal 0 binary64) (-.f64 y x)))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) #s(literal 1/2 binary64))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 x y) (-.f64 x y))) #s(literal 1/2 binary64))) (-.f64 x y))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 x y) (-.f64 y x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 y x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 x y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 x y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 x y))) (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 x y))) (fma.f64 (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 x y))) (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 x y))) (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 x y))) (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))))))
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(*.f64 #s(literal 1 binary64) (+.f64 x y))
(*.f64 (+.f64 x y) #s(literal 1 binary64))
(.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (/.f64 (+.f64 x y) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(.f64 (.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal -1 binary64) (-.f64 x y)))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (fma.f64 y (.f64 y y) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))))))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (fma.f64 y (.f64 y y) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))))) (fma.f64 x (-.f64 x y) (.f64 y y)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (.f64 y y))) (fma.f64 x (.f64 x x) (.f64 y (*.f64 y y))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (.f64 (+.f64 x y) (-.f64 x y)))
(.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)))))
(.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x y) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y y) (fma.f64 x x (*.f64 y y)))))))
(.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y)) (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y y) (fma.f64 x x (*.f64 y y)))) (-.f64 x y))))
(.f64 (.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(.f64 (.f64 (.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 x x (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x y) (fma.f64 x x (.f64 y y)))))
(.f64 (.f64 (.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 x x (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x (.f64 y y)) (-.f64 x y))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x y)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y)))))
(.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x y)) (.f64 (-.f64 x y) (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x y) (-.f64 x y))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 x y) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 y x))))
(.f64 (fma.f64 (/.f64 (.f64 x x) (-.f64 x y)) (.f64 (.f64 x x) (.f64 (/.f64 x (-.f64 x y)) (/.f64 x (-.f64 x y)))) (neg.f64 (.f64 (.f64 y (/.f64 y (-.f64 x y))) (.f64 (.f64 y (/.f64 y (-.f64 x y))) (.f64 y (/.f64 y (-.f64 x y))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (/.f64 x (-.f64 x y)) (/.f64 x (-.f64 x y))) (fma.f64 (.f64 y y) (.f64 (/.f64 y (-.f64 x y)) (/.f64 y (-.f64 x y))) (.f64 (/.f64 (.f64 x x) (-.f64 x y)) (*.f64 y (/.f64 y (-.f64 x y))))))))
(.f64 (.f64 (fma.f64 x (/.f64 x (-.f64 x y)) (.f64 y (/.f64 y (-.f64 x y)))) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (-.f64 x y)) (.f64 y (/.f64 y (-.f64 x y))))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (fma.f64 x (-.f64 x y) (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (fma.f64 y (.f64 y y) (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x))))))))
(.f64 (/.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y))) (fma.f64 x (-.f64 x y) (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y))))
(.f64 (/.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y))) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y y) (fma.f64 x x (.f64 y y))))))
(.f64 (/.f64 (.f64 (.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 x x (.f64 y y))) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 (-.f64 y x) (.f64 (-.f64 y x) (-.f64 y x)))))) (fma.f64 (.f64 y (-.f64 y x)) (fma.f64 y (-.f64 y x) (-.f64 #s(literal 0 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (-.f64 (.f64 x x) (.f64 y (-.f64 y x))))) (-.f64 (.f64 x x) (.f64 y (-.f64 y x))))
(.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y))) (fma.f64 y (+.f64 x y) (*.f64 x x)))
(.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (fma.f64 y (.f64 y y) (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x))))))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y))))
(.f64 (pow.f64 (/.f64 (-.f64 x y) (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y y) (fma.f64 x x (.f64 y y))))))
(.f64 (pow.f64 (/.f64 (-.f64 x y) (.f64 (.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 x x (.f64 y y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal -1/2 binary64)))

simplify796.0ms (16.9%)

Memory

-11.6MiB live, 621.8MiB allocated

Algorithm

1×	egg-herbie

Rules

17 664×	`accelerator-lowering-fma.f32`
17 664×	`accelerator-lowering-fma.f64`
2 856×	`+-lowering-+.f64`
2 856×	`+-lowering-+.f32`
2 768×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	168
1	115	168
2	264	168
3	783	168
4	1834	168
5	2668	168
6	3340	168
7	3639	168
8	3801	168
9	3837	168
10	6026	168
0	8686	168

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

eval35.0ms (0.7%)

Memory: 12.4MiB live, 86.2MiB allocated
Compiler: Compiled 8 646 to 796 computations (90.8% saved)

prune37.0ms (0.8%)

Memory

8.8MiB live, 87.7MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	299	3	302
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	300	3	303

Accuracy

100.0%

Counts

303 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.1%	(fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64))
▶	45.1%	(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
▶	100.0%	(*.f64 (+.f64 x y) #s(literal 1/2 binary64))

Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify7.0ms (0.1%)

Memory

-29.2MiB live, 8.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64))
✓	cost-diff	0	(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
✓	cost-diff	-64	(*.f64 (+.f64 x y) #s(literal 1/2 binary64))
✓	cost-diff	0	(+.f64 x y)

Rules

20×	`+-lowering-+.f64`
20×	`+-lowering-+.f32`
20×	`accelerator-lowering-fma.f32`
20×	`accelerator-lowering-fma.f64`
12×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	16	23
2	19	23
3	21	23
0	21	23

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (+ x y) 1/2)
(+ x y)
x
y
1/2
(+ (* 1/2 x) 0)
1/2
x
0
(+ (* 1/2 y) 0)
1/2
y
0

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

localize29.0ms (0.6%)

Memory

28.7MiB live, 67.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64))
✓	accuracy	100.0%	(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(*.f64 (+.f64 x y) #s(literal 1/2 binary64))

Samples

16.0ms

256×

valid

Compiler

Compiled 27 to 12 computations (55.6% saved)

Precisions

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

ival-mult: 4.0ms (49.6% of total)

ival-add: 3.0ms (37.2% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated

Counts

4 → 72

Calls

Call 1

Inputs
#<alt (+ x y)>
#<alt (* (+ x y) 1/2)>
#<alt (+ (* 1/2 x) 0)>
#<alt (+ (* 1/2 y) 0)>

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

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+ (* 1/2 x) 0)
0.0ms	x	@	0	(+ (* 1/2 x) 0)
0.0ms	y	@	inf	(+ (* 1/2 y) 0)
0.0ms	y	@	0	(+ (* 1/2 y) 0)
0.0ms	x	@	-inf	(+ (* 1/2 x) 0)

rewrite299.0ms (6.3%)

Memory

-39.7MiB live, 531.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 570×	`accelerator-lowering-fma.f32`
4 570×	`accelerator-lowering-fma.f64`
3 560×	`-lowering-.f32`
3 560×	`-lowering-.f64`
2 140×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	51	14
2	502	14
3	5416	14
0	8221	14

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 774

Calls

Call 1

Inputs
(+ x y)
(* (+ x y) 1/2)
(+ (* 1/2 x) 0)
(+ (* 1/2 y) 0)

Outputs
(+.f64 x y)
(+.f64 y x)
(+.f64 (/.f64 (.f64 x x) (-.f64 x y)) (neg.f64 (/.f64 (.f64 y y) (-.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (.f64 y y) (-.f64 x y)))
(-.f64 (/.f64 (.f64 y y) (-.f64 y x)) (/.f64 (.f64 x x) (-.f64 y x)))
(fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (neg.f64 (/.f64 (.f64 y y) (-.f64 x y))))
(fma.f64 (/.f64 (.f64 x x) (.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(fma.f64 (/.f64 (.f64 x x) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y))) (fma.f64 x x (.f64 y (+.f64 x y))) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(neg.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 x y) (.f64 y y)))))
(neg.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 #s(literal 0 binary64) (-.f64 x y))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (fma.f64 x (-.f64 x y) (.f64 y y))))
(neg.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (-.f64 x y))) (-.f64 x y)))
(/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (fma.f64 x (-.f64 x y) (.f64 y y)))
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 x y))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 x y) (.f64 y y))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (-.f64 x y))) (-.f64 #s(literal 0 binary64) (-.f64 x y)))
(/.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 (.f64 y (.f64 y y)) (.f64 y y))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (fma.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))
(/.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y))) (.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y))))
(/.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y))) (.f64 (-.f64 x y) (fma.f64 (.f64 y y) (fma.f64 x x (.f64 y y)) (.f64 x (.f64 x (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (+.f64 x y) (-.f64 y x))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x))
(/.f64 (.f64 (fma.f64 x x (.f64 y y)) (.f64 (+.f64 x y) (-.f64 x y))) (.f64 (-.f64 x y) (fma.f64 x x (*.f64 y y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x y)) (.f64 (-.f64 x y) (.f64 y y))) (*.f64 (-.f64 x y) (-.f64 x y)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 x y) (.f64 y y)))))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (-.f64 x y)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 x y))))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (neg.f64 (-.f64 y x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y y) (-.f64 x y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (.f64 x x) (-.f64 x y)) (fma.f64 (/.f64 (.f64 y y) (-.f64 x y)) (/.f64 (.f64 y y) (-.f64 x y)) (.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (.f64 x x) (-.f64 x y))) (.f64 (/.f64 (.f64 y y) (-.f64 x y)) (/.f64 (.f64 y y) (-.f64 x y)))) (fma.f64 x (/.f64 x (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))))
(/.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) #s(literal 1 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (.f64 (.f64 (+.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) (-.f64 x y))
(/.f64 (.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 (.f64 y (.f64 y y)) (.f64 y y))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (.f64 y y)))) (fma.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))
(/.f64 (.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (.f64 y y)))) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y)))
(/.f64 (.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (fma.f64 (.f64 y y) (fma.f64 x x (.f64 y y)) (.f64 x (.f64 x (.f64 x x)))))
(/.f64 (.f64 (.f64 (fma.f64 x x (.f64 y y)) (.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (fma.f64 x x (*.f64 y y)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 y x) (*.f64 (+.f64 x y) (-.f64 y x))) #s(literal -1 binary64))
(.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 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (.f64 y y)))))
(.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (/.f64 (+.f64 x y) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(.f64 (.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(.f64 (.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (-.f64 x 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) (fma.f64 x (-.f64 x y) (.f64 y y))) (fma.f64 x (.f64 x x) (.f64 y (*.f64 y y))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (.f64 (+.f64 x y) (-.f64 x y)))
(.f64 (.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (fma.f64 (.f64 y (-.f64 y x)) (.f64 y (.f64 (-.f64 y x) (.f64 y (-.f64 y x)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.f64 (.f64 y (-.f64 y x)) (-.f64 (.f64 y (-.f64 y x)) (.f64 x x)) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (-.f64 (.f64 x x) (.f64 y (-.f64 y x))))) (-.f64 (.f64 x x) (.f64 y (-.f64 y x))))
(.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(+.f64 (fma.f64 (+.f64 x y) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(+.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)))
(+.f64 #s(literal 0 binary64) (fma.f64 (+.f64 x y) #s(literal 1/2 binary64) #s(literal 0 binary64)))
(+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)))
(-.f64 (fma.f64 (+.f64 x y) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)))
(-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 0 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 x (/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 0 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 x (*.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 2 binary64) x)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 y #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 y (/.f64 (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 y (*.f64 (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 2 binary64) y)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 (+.f64 x y) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) x (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) y (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 x y) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 0 binary64)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) y) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) x) (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (.f64 x x)) (*.f64 x x)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (.f64 y y)) (*.f64 y y)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 0 binary64)) (/.f64 #s(literal 2 binary64) y)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 2 binary64) x)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64) (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal 1/8 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 y y)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal 0 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 4 binary64) (.f64 x x))) (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1/8 binary64) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 (.f64 y (.f64 y y)) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 4 binary64) (.f64 y y))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (/.f64 #s(literal 1/2 binary64) (fma.f64 x (-.f64 x y) (.f64 y y))) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 2 binary64) x)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1/4 binary64) (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 (.f64 y y) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 2 binary64) y)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/8 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 x x)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 2 binary64) x) (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 (.f64 (+.f64 x y) (-.f64 x y)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal 0 binary64))
(fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal 0 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 4 binary64) (.f64 y y))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 4 binary64) (.f64 x x))) (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/4 binary64) #s(literal 0 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/4 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)))
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(.f64 (/.f64 #s(literal 4 binary64) (.f64 y y)) (fma.f64 (.f64 y (.f64 y y)) #s(literal 1/8 binary64) #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) y) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (pow.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (pow.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)))
(.f64 #s(literal 1/4 binary64) (/.f64 (.f64 y y) (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))))
(.f64 #s(literal 1/4 binary64) (/.f64 (.f64 y (.f64 y y)) (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 0 binary64))))
(.f64 #s(literal 1/4 binary64) (.f64 (*.f64 y y) (/.f64 #s(literal 2 binary64) y)))
(*.f64 (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) (/.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))))
(.f64 (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) (.f64 y (/.f64 #s(literal 2 binary64) y)))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) y)))
(*.f64 (/.f64 y (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 2 binary64) y)))
(.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 0 binary64)) (/.f64 #s(literal 2 binary64) y)))
(.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (.f64 y y) (/.f64 #s(literal 2 binary64) y)))
(.f64 (/.f64 (.f64 y y) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 2 binary64) y)))
(.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)))
(.f64 (/.f64 (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (/.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64))))
(.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/2 binary64)) (/.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 0 binary64))))
(*.f64 (/.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)) (/.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)) y))
(.f64 (/.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)) (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 0 binary64))))
(*.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) y) (/.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)) (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64))))
(.f64 (/.f64 (.f64 y (*.f64 y y)) y) (/.f64 #s(literal 1/8 binary64) (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64))))
(.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 0 binary64))))
(.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (.f64 y (*.f64 y y)) (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) y) (/.f64 (pow.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64))))
(.f64 (/.f64 (pow.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 0 binary64))))
(.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 y y)) (/.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64)))
(.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (/.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)) (.f64 y y)))
(.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 0 binary64))) (/.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64))) (/.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)) y))
(.f64 (/.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)) (.f64 y y)) (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)))
(.f64 (/.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 y y)))
(*.f64 (/.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)) (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64))) (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) y))
(.f64 (/.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 0 binary64))) (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64))) (/.f64 (.f64 y (*.f64 y y)) y))
(.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 0 binary64))) (/.f64 (.f64 y (.f64 y y)) #s(literal 1/2 binary64)))
(.f64 (/.f64 (.f64 y (*.f64 y y)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1/8 binary64) (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))))
(.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))) (/.f64 (.f64 y (*.f64 y y)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))))
(.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 y y)))
(.f64 (/.f64 #s(literal 1/8 binary64) (.f64 y y)) (/.f64 (.f64 y (.f64 y y)) #s(literal 1/4 binary64)))
(.f64 (/.f64 (.f64 y (*.f64 y y)) (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1/8 binary64) y))
(.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 0 binary64))) #s(literal 1/4 binary64))
(*.f64 (/.f64 (pow.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64))) (/.f64 (pow.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) y))
(.f64 (/.f64 (pow.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 0 binary64))) (/.f64 (pow.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)))
(.f64 (/.f64 (pow.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (.f64 y y)) (/.f64 (pow.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) #s(literal 1/4 binary64)))
(.f64 (/.f64 (pow.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (.f64 y y)))
(*.f64 (/.f64 y y) (/.f64 (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)) (/.f64 y y))
(*.f64 (/.f64 y #s(literal 1/2 binary64)) (/.f64 (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) y))
(*.f64 (/.f64 (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) y) (/.f64 y #s(literal 1/2 binary64)))
(.f64 (/.f64 y (fma.f64 (.f64 y (.f64 y y)) #s(literal 1/8 binary64) #s(literal 0 binary64))) (/.f64 (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 4 binary64) (.f64 y y))))
(.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 0 binary64)) #s(literal 1/2 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 0 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 0 binary64)) y) #s(literal 1 binary64))
(.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 y (.f64 y y)) #s(literal 1/8 binary64) #s(literal 0 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 0 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 y y))))
(.f64 (/.f64 (.f64 y y) y) #s(literal 1/2 binary64))
(.f64 (/.f64 (.f64 y y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) y))
(.f64 (/.f64 #s(literal 1/4 binary64) y) (/.f64 (.f64 y y) #s(literal 1/2 binary64)))
(.f64 (/.f64 (.f64 y y) (fma.f64 (.f64 y (.f64 y y)) #s(literal 1/8 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y y))))
(.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 y (.f64 y y)) #s(literal 1/8 binary64) #s(literal 0 binary64))) (/.f64 (.f64 y y) (/.f64 #s(literal 4 binary64) (*.f64 y y))))
(*.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) y))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 y y)) #s(literal 1/8 binary64) #s(literal 0 binary64))) (fma.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal 1/16 binary64) #s(literal 0 binary64)))
(.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 y y)) #s(literal 1/2 binary64))
(.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64) #s(literal 0 binary64))) (fma.f64 (.f64 y y) #s(literal -1/4 binary64) #s(literal 0 binary64)))
(.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (.f64 y y) #s(literal -1/4 binary64) #s(literal 0 binary64))) (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)))
(.f64 (/.f64 (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) (fma.f64 (.f64 y (.f64 y y)) #s(literal 1/8 binary64) #s(literal 0 binary64))) (/.f64 y (/.f64 #s(literal 4 binary64) (.f64 y y))))
(.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 0 binary64)) (fma.f64 (.f64 y (.f64 y y)) #s(literal 1/8 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y y))))

simplify440.0ms (9.3%)

Memory

13.1MiB live, 842.0MiB allocated

Algorithm

1×	egg-herbie

Rules

17 664×	`accelerator-lowering-fma.f32`
17 664×	`accelerator-lowering-fma.f64`
2 856×	`+-lowering-+.f64`
2 856×	`+-lowering-+.f32`
2 768×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	240
1	115	240
2	264	240
3	778	240
4	1806	240
5	2643	240
6	3316	240
7	3616	240
8	3778	240
9	3814	240
10	6033	240
0	8695	240

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

eval103.0ms (2.2%)

Memory: -4.7MiB live, 278.8MiB allocated
Compiler: Compiled 14 330 to 1 351 computations (90.6% saved)

prune109.0ms (2.3%)

Memory

4.1MiB live, 324.7MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	844	2	846
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	846	3	849

Accuracy

100.0%

Counts

849 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 x y) #s(literal 1/2 binary64))
▶	56.1%	(*.f64 y #s(literal 1/2 binary64))
▶	45.1%	(*.f64 x #s(literal 1/2 binary64))

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify4.0ms (0.1%)

Memory

12.8MiB live, 12.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y #s(literal 1/2 binary64))
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	10
1	7	10
0	7	10

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* x 1/2)
x
1/2
(* y 1/2)
y
1/2

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

localize16.0ms (0.3%)

Memory

11.7MiB live, 51.1MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y #s(literal 1/2 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))

Samples

10.0ms

256×

valid

Compiler

Compiled 12 to 7 computations (41.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 3.0ms (90.2% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (* x 1/2)>
#<alt (* y 1/2)>

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

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(* x 1/2)
0.0ms	x	@	-inf	(* x 1/2)
0.0ms	y	@	-inf	(* y 1/2)
0.0ms	y	@	inf	(* y 1/2)
0.0ms	x	@	0	(* x 1/2)

rewrite9.0ms (0.2%)

Memory

-16.4MiB live, 23.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	7	6
0	7	6

Stop Event

1×	iter limit
1×	saturated

Counts

2 → 4

Calls

Call 1

Inputs
(* x 1/2)
(* y 1/2)

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

simplify4.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	72
1	7	72
0	7	72

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

Calls

Call 1

Inputs
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)

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

eval6.0ms (0.1%)

Memory: -38.0MiB live, 11.2MiB allocated
Compiler: Compiled 86 to 7 computations (91.9% saved)

prune3.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	28	0	28
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	28	3	31

Accuracy

100.0%

Counts

31 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 x y) #s(literal 1/2 binary64))
✓	56.1%	(*.f64 y #s(literal 1/2 binary64))
✓	45.1%	(*.f64 x #s(literal 1/2 binary64))

Compiler

Compiled 45 to 27 computations (40% saved)

regimes12.0ms (0.3%)

Memory

-5.6MiB live, 33.5MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64))
(*.f64 (+.f64 x y) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))

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

Calls

4 calls:

4.0ms	x
3.0ms	y
3.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))
3.0ms	(+.f64 x y)

Results

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

Compiler

Compiled 20 to 14 computations (30% saved)

regimes9.0ms (0.2%)

Memory

30.0MiB live, 30.0MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64))

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

Calls

4 calls:

2.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))
2.0ms	y
2.0ms	(+.f64 x y)
2.0ms	x

Results

Accuracy	Segments	Branch
83.8%	2	`x`
82.5%	2	`y`
97.7%	2	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))`
97.7%	2	`(+.f64 x y)`

Compiler

Compiled 20 to 14 computations (30% saved)

regimes7.0ms (0.1%)

Memory

-16.6MiB live, 22.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 x #s(literal 1/2 binary64))

Outputs
(*.f64 x #s(literal 1/2 binary64))

Calls

4 calls:

1.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))
1.0ms	x
1.0ms	(+.f64 x y)
1.0ms	y

Results

Accuracy	Segments	Branch
45.1%	1	`y`
45.1%	1	`x`
45.1%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))`
45.1%	1	`(+.f64 x y)`

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.4797214823764746e-301	7.535852605948847e-252

Compiler

Compiled 12 to 12 computations (0% saved)

simplify9.0ms (0.2%)

Memory

-15.8MiB live, 23.5MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	14	20

Stop Event

1×

saturated

Calls

Call 1

Inputs

(*.f64 (+.f64 x y) #s(literal 1/2 binary64))

(if (<=.f64 (+.f64 x y) #s(literal -4825645764048353/48256457640483526790736996345261885416402018013988046254372920519692978755949818346967788625106125949665803400115206697318508323999832505432847356782135608177546840733663168278805472312472633443174306792848764674320699568611310171751523817932405366025164140823449795139392236379439950593039113881265164914919783530496 binary64)) (*.f64 x #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64)))

(*.f64 x #s(literal 1/2 binary64))

Outputs

(*.f64 (+.f64 x y) #s(literal 1/2 binary64))

(if (<=.f64 (+.f64 x y) #s(literal -4825645764048353/48256457640483526790736996345261885416402018013988046254372920519692978755949818346967788625106125949665803400115206697318508323999832505432847356782135608177546840733663168278805472312472633443174306792848764674320699568611310171751523817932405366025164140823449795139392236379439950593039113881265164914919783530496 binary64)) (*.f64 x #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64)))

(*.f64 x #s(literal 1/2 binary64))

soundness809.0ms (17.2%)

Memory

7.8MiB live, 537.6MiB allocated

Rules

17 664×	`accelerator-lowering-fma.f32`
17 664×	`accelerator-lowering-fma.f64`
8 694×	`accelerator-lowering-fma.f32`
8 694×	`accelerator-lowering-fma.f64`
4 570×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	51	14
2	502	14
3	5416	14
0	8221	14
0	8	9
1	31	9
2	179	9
3	1524	9
0	8422	9
0	38	168
1	115	168
2	264	168
3	783	168
4	1834	168
5	2668	168
6	3340	168
7	3639	168
8	3801	168
9	3837	168
10	6026	168
0	8686	168

Stop Event

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

Compiler

Compiled 62 to 42 computations (32.3% saved)

preprocess35.0ms (0.7%)

Memory: 0.8MiB live, 116.8MiB allocated
Remove: (sort x y)
Compiler: Compiled 90 to 54 computations (40% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample852.0ms (18.1%)

preprocess50.0ms (1.1%)

explain198.0ms (4.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize39.0ms (0.8%)

series2.0ms (0.1%)

rewrite792.0ms (16.8%)

simplify796.0ms (16.9%)

eval35.0ms (0.7%)

prune37.0ms (0.8%)

simplify7.0ms (0.1%)

localize29.0ms (0.6%)

series2.0ms (0%)

rewrite299.0ms (6.3%)

simplify440.0ms (9.3%)

eval103.0ms (2.2%)

prune109.0ms (2.3%)

simplify4.0ms (0.1%)

localize16.0ms (0.3%)

series1.0ms (0%)

rewrite9.0ms (0.2%)

simplify4.0ms (0.1%)

eval6.0ms (0.1%)

prune3.0ms (0.1%)

regimes12.0ms (0.3%)

regimes9.0ms (0.2%)

regimes7.0ms (0.1%)

bsearch0.0ms (0%)

simplify9.0ms (0.2%)

soundness809.0ms (17.2%)

preprocess35.0ms (0.7%)

end0.0ms (0%)

Profiling