Metrics for Graphics.Rendering.Plot.Render.Plot.Legend:renderLegendOutside from plot-0.2.3.4, 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 8 to 5 computations (37.5% saved)

Precisions

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

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

const: 0.0ms (0% of total)

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

sample589.0ms (33%)

Results

422.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 175.0ms

ival-add: 164.0ms (93.6% of total)

const: 8.0ms (4.6% of total)

backward-pass: 3.0ms (1.7% of total)

Bogosity

preprocess43.0ms (2.4%)

Algorithm

2×	egg-herbie

Rules

592×	`sum5-define`
564×	`fnmadd-define`
526×	`fmsub-define`
512×	`fnmsub-define`
456×	`sum4-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	30
1	45	28
2	114	28
3	386	24
4	1228	24
5	2033	24
6	2410	24
7	2434	24
0	4	4
1	8	4
2	12	4
3	15	4
4	17	4
5	18	4
0	18	4

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(+ (+ x y) x)

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

Call 2

Inputs
(+ (+ x y) x)
(+ (+ (neg x) y) (neg x))
(+ (+ x (neg y)) x)
(neg (+ (+ (neg x) y) (neg x)))
(neg (+ (+ x (neg y)) x))
(+ (+ y x) y)

Outputs
(+ (+ x y) x)
(sum3 x x y)
(+ (+ (neg x) y) (neg x))
(fma x -2 y)
(+ (+ x (neg y)) x)
(fnmsub x -2 y)
(neg (+ (+ (neg x) y) (neg x)))
(fnmsub x -2 y)
(neg (+ (+ x (neg y)) x))
(fma x -2 y)
(+ (+ y x) y)
(sum3 x y y)

explain67.0ms (3.7%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(+.f64 (+.f64 x y) x)`
-	-	`(+.f64 x y)`
-	-	`y`

Results

47.0ms

512×

valid

Compiler

Compiled 33 to 14 computations (57.6% saved)

Precisions

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

ival-add: 8.0ms (88.6% of total)

const: 1.0ms (11.1% of total)

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

eval0.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

4×	`fma-lowering-fma.f32`
4×	`fma-define`
4×	`+-lowering-+.f64`
4×	`-lowering-.f32`
4×	`-lowering-.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	7	10
2	9	10
0	9	10

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize26.0ms (1.5%)

Localize:

Found 2 expressions of interest:

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

Results

20.0ms

256×

valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

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

ival-mult: 2.0ms (51.3% of total)

ival-add: 1.0ms (25.7% of total)

const: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Counts

2 → 36

Calls

Call 1

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

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

9 calls:

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

rewrite320.0ms (17.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3044×	`-lowering-.f32`
3044×	`-lowering-.f64`
2620×	`/-lowering-/.f32`
2620×	`/-lowering-/.f64`
1656×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	20	7
2	176	7
3	1920	7
0	8578	7

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 124

Calls

Call 1

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

Outputs
(+.f64 y (*.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 x #s(literal 2 binary64)) y)
(+.f64 (/.f64 (.f64 y y) (+.f64 y (.f64 x #s(literal -2 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (+.f64 y (*.f64 x #s(literal -2 binary64))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 y y) (+.f64 y (.f64 x #s(literal -2 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (+.f64 y (*.f64 x #s(literal -2 binary64)))))
(-.f64 (/.f64 (.f64 y y) (+.f64 y (.f64 x #s(literal -2 binary64)))) (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal -4 binary64)) (.f64 x (.f64 x #s(literal 4 binary64))))) (+.f64 y (*.f64 x #s(literal -2 binary64)))))
(-.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (-.f64 (.f64 x #s(literal 2 binary64)) y)) (/.f64 (.f64 y y) (-.f64 (*.f64 x #s(literal 2 binary64)) y)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (+.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)))) (+.f64 (.f64 y y) (.f64 x (.f64 #s(literal 2 binary64) (-.f64 (.f64 x #s(literal 2 binary64)) y))))) (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64))) (+.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)))) (+.f64 (.f64 y y) (.f64 x (.f64 #s(literal 2 binary64) (-.f64 (*.f64 x #s(literal 2 binary64)) y))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (+.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (+.f64 (.f64 y y) (.f64 x (.f64 x #s(literal 4 binary64))))))) (+.f64 y (.f64 x #s(literal -2 binary64)))) (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64))) (+.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (+.f64 (.f64 y y) (.f64 x (.f64 x #s(literal 4 binary64))))))) (+.f64 y (*.f64 x #s(literal -2 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (+.f64 (.f64 y y) (.f64 x (.f64 x #s(literal 4 binary64))))) (+.f64 y (.f64 x #s(literal -2 binary64)))) (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 16 binary64)) (+.f64 (.f64 y y) (.f64 x (.f64 x #s(literal 4 binary64))))) (+.f64 y (*.f64 x #s(literal -2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y y) (.f64 x (.f64 #s(literal 2 binary64) (-.f64 (.f64 x #s(literal 2 binary64)) y)))))) (/.f64 (+.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y y) (.f64 x (.f64 #s(literal 2 binary64) (-.f64 (*.f64 x #s(literal 2 binary64)) y)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 y (.f64 x #s(literal -2 binary64))))) (/.f64 (+.f64 (.f64 y y) (.f64 (.f64 x x) #s(literal -4 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 y (*.f64 x #s(literal -2 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (+.f64 (.f64 y y) (.f64 x (.f64 #s(literal 2 binary64) (-.f64 (.f64 x #s(literal 2 binary64)) y)))) (+.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64))) (.f64 (+.f64 (.f64 y y) (.f64 x (.f64 #s(literal 2 binary64) (-.f64 (.f64 x #s(literal 2 binary64)) y)))) (+.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (*.f64 x x)) #s(literal -8 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (+.f64 y (.f64 x #s(literal -2 binary64))) (+.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (+.f64 (.f64 y y) (.f64 x (.f64 x #s(literal 4 binary64)))))))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64))) (.f64 (+.f64 y (.f64 x #s(literal -2 binary64))) (+.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (+.f64 (.f64 y y) (.f64 x (*.f64 x #s(literal 4 binary64)))))))))
(-.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (+.f64 y (.f64 x #s(literal -2 binary64))) (+.f64 (.f64 y y) (.f64 x (.f64 x #s(literal 4 binary64)))))) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 16 binary64)) (.f64 (+.f64 y (.f64 x #s(literal -2 binary64))) (+.f64 (.f64 y y) (.f64 x (*.f64 x #s(literal 4 binary64)))))))
(-.f64 (/.f64 (.f64 (.f64 y y) (+.f64 y (.f64 x #s(literal -2 binary64)))) (.f64 (+.f64 y (.f64 x #s(literal -2 binary64))) (+.f64 y (.f64 x #s(literal -2 binary64))))) (/.f64 (.f64 (+.f64 y (.f64 x #s(literal -2 binary64))) (.f64 x (.f64 x #s(literal 4 binary64)))) (.f64 (+.f64 y (.f64 x #s(literal -2 binary64))) (+.f64 y (*.f64 x #s(literal -2 binary64))))))
(-.f64 (/.f64 (.f64 (/.f64 (.f64 y y) (+.f64 y (.f64 x #s(literal -2 binary64)))) (.f64 (/.f64 (.f64 y y) (+.f64 y (.f64 x #s(literal -2 binary64)))) (/.f64 (.f64 y y) (+.f64 y (.f64 x #s(literal -2 binary64)))))) (+.f64 (.f64 (/.f64 (.f64 y y) (+.f64 y (.f64 x #s(literal -2 binary64)))) (/.f64 (.f64 y y) (+.f64 y (.f64 x #s(literal -2 binary64))))) (+.f64 (.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (+.f64 y (.f64 x #s(literal -2 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (+.f64 y (.f64 x #s(literal -2 binary64))))) (.f64 (/.f64 (.f64 y y) (+.f64 y (.f64 x #s(literal -2 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (+.f64 y (.f64 x #s(literal -2 binary64)))))))) (/.f64 (.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (+.f64 y (.f64 x #s(literal -2 binary64)))) (.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (+.f64 y (.f64 x #s(literal -2 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (+.f64 y (.f64 x #s(literal -2 binary64)))))) (+.f64 (.f64 (/.f64 (.f64 y y) (+.f64 y (.f64 x #s(literal -2 binary64)))) (/.f64 (.f64 y y) (+.f64 y (.f64 x #s(literal -2 binary64))))) (+.f64 (.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (+.f64 y (.f64 x #s(literal -2 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (+.f64 y (.f64 x #s(literal -2 binary64))))) (.f64 (/.f64 (.f64 y y) (+.f64 y (.f64 x #s(literal -2 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (+.f64 y (*.f64 x #s(literal -2 binary64)))))))))
(-.f64 (/.f64 (.f64 (/.f64 (.f64 y y) (+.f64 y (.f64 x #s(literal -2 binary64)))) (/.f64 (.f64 y y) (+.f64 y (.f64 x #s(literal -2 binary64))))) (+.f64 (/.f64 (.f64 y y) (+.f64 y (.f64 x #s(literal -2 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (+.f64 y (.f64 x #s(literal -2 binary64)))))) (/.f64 (.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (+.f64 y (.f64 x #s(literal -2 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (+.f64 y (.f64 x #s(literal -2 binary64))))) (+.f64 (/.f64 (.f64 y y) (+.f64 y (.f64 x #s(literal -2 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (+.f64 y (.f64 x #s(literal -2 binary64)))))))
(fma.f64 y (/.f64 y (+.f64 y (.f64 x #s(literal -2 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (+.f64 y (.f64 x #s(literal -2 binary64))))))
(fma.f64 x #s(literal 2 binary64) y)
(fma.f64 #s(literal 2 binary64) x y)
(fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (+.f64 y (.f64 x #s(literal -2 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (+.f64 y (*.f64 x #s(literal -2 binary64))))))
(fma.f64 (/.f64 (.f64 y y) (+.f64 (.f64 y y) (.f64 (.f64 x x) #s(literal -4 binary64)))) (+.f64 y (.f64 x #s(literal 2 binary64))) (neg.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (+.f64 y (.f64 x #s(literal -2 binary64))))))
(fma.f64 (/.f64 (.f64 y y) (+.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)))) (+.f64 (.f64 y y) (.f64 (.f64 x #s(literal 2 binary64)) (+.f64 y (.f64 x #s(literal 2 binary64))))) (neg.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (+.f64 y (*.f64 x #s(literal -2 binary64))))))
(neg.f64 (/.f64 (+.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y y) (.f64 x (.f64 #s(literal 2 binary64) (-.f64 (*.f64 x #s(literal 2 binary64)) y)))))))
(neg.f64 (/.f64 (+.f64 (.f64 y y) (.f64 (.f64 x x) #s(literal -4 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 y (.f64 x #s(literal -2 binary64))))))
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (.f64 y y) (.f64 x (.f64 #s(literal 2 binary64) (-.f64 (.f64 x #s(literal 2 binary64)) y))))) (+.f64 y (*.f64 x #s(literal 2 binary64)))))
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (+.f64 y (.f64 x #s(literal -2 binary64)))) (+.f64 y (.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (+.f64 (.f64 y y) (.f64 x (.f64 #s(literal 2 binary64) (-.f64 (*.f64 x #s(literal 2 binary64)) y)))))
(/.f64 (+.f64 (.f64 y y) (.f64 (.f64 x x) #s(literal -4 binary64))) (+.f64 y (.f64 x #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y y) (.f64 x (.f64 #s(literal 2 binary64) (-.f64 (*.f64 x #s(literal 2 binary64)) y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y y) (.f64 (.f64 x x) #s(literal -4 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 y (.f64 x #s(literal -2 binary64)))))
(/.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 512 binary64))) (.f64 (+.f64 (.f64 y y) (.f64 x (.f64 #s(literal 2 binary64) (-.f64 (.f64 x #s(literal 2 binary64)) y)))) (+.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 y (.f64 y y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y (*.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 y y))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (*.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)))) (.f64 (+.f64 (.f64 y y) (.f64 x (.f64 #s(literal 2 binary64) (-.f64 (.f64 x #s(literal 2 binary64)) y)))) (+.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (*.f64 x x)) #s(literal -8 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)))) (.f64 (+.f64 y (.f64 x #s(literal -2 binary64))) (+.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (+.f64 (.f64 y y) (.f64 x (.f64 x #s(literal 4 binary64))))))))
(/.f64 (-.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 y y)) (-.f64 (.f64 x #s(literal 2 binary64)) y))
(/.f64 (-.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 16 binary64))) (.f64 (+.f64 y (.f64 x #s(literal -2 binary64))) (+.f64 (.f64 y y) (.f64 x (.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (*.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 y y)))))
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(pow.f64 (/.f64 (-.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 y y))) #s(literal -1 binary64))
(.f64 (+.f64 y (.f64 x #s(literal 2 binary64))) (.f64 (+.f64 y (.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y (*.f64 x #s(literal -2 binary64))))))
(.f64 (+.f64 y (.f64 x #s(literal 2 binary64))) (/.f64 (+.f64 y (.f64 x #s(literal -2 binary64))) (+.f64 y (.f64 x #s(literal -2 binary64)))))
(.f64 (+.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y y) (.f64 x (.f64 #s(literal 2 binary64) (-.f64 (.f64 x #s(literal 2 binary64)) y))))))
(.f64 (+.f64 (.f64 y y) (.f64 x (.f64 #s(literal 2 binary64) (-.f64 (.f64 x #s(literal 2 binary64)) y)))) (.f64 (+.f64 y (.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y y) (.f64 x (.f64 #s(literal 2 binary64) (-.f64 (*.f64 x #s(literal 2 binary64)) y)))))))
(.f64 (+.f64 (.f64 y y) (.f64 x (.f64 #s(literal 2 binary64) (-.f64 (.f64 x #s(literal 2 binary64)) y)))) (/.f64 (+.f64 y (.f64 x #s(literal 2 binary64))) (+.f64 (.f64 y y) (.f64 x (.f64 #s(literal 2 binary64) (-.f64 (.f64 x #s(literal 2 binary64)) y))))))
(.f64 (+.f64 (.f64 y y) (.f64 (.f64 x x) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y (*.f64 x #s(literal -2 binary64)))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y y) (.f64 x (.f64 #s(literal 2 binary64) (-.f64 (.f64 x #s(literal 2 binary64)) y)))))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y y) (.f64 (.f64 x x) #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 y (*.f64 x #s(literal -2 binary64))))))
(.f64 #s(literal 1 binary64) (+.f64 y (.f64 x #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y y) (.f64 x (.f64 #s(literal 2 binary64) (-.f64 (.f64 x #s(literal 2 binary64)) y))))) (+.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y y) (.f64 x (.f64 #s(literal 2 binary64) (-.f64 (.f64 x #s(literal 2 binary64)) y))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (.f64 x #s(literal -2 binary64)))) (+.f64 (.f64 y y) (.f64 (*.f64 x x) #s(literal -4 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (.f64 x #s(literal -2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y y) (.f64 (*.f64 x x) #s(literal -4 binary64)))) #s(literal -1 binary64)))
(.f64 (-.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 2 binary64)) y)))
(.f64 (/.f64 (+.f64 (.f64 y y) (.f64 (.f64 x x) #s(literal -4 binary64))) (+.f64 (.f64 y y) (.f64 (.f64 x x) #s(literal -4 binary64)))) (+.f64 y (.f64 x #s(literal 2 binary64))))
(.f64 (/.f64 (+.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (+.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 (-.f64 (.f64 x #s(literal 2 binary64)) y) (.f64 (-.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 (.f64 x #s(literal 2 binary64)) y)))))) (+.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (.f64 x (.f64 #s(literal 2 binary64) (-.f64 (.f64 x #s(literal 2 binary64)) y))) (-.f64 (.f64 x (.f64 #s(literal 2 binary64) (-.f64 (.f64 x #s(literal 2 binary64)) y))) (*.f64 y y)))))
(.f64 (/.f64 (+.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (-.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 (-.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 (.f64 x #s(literal 2 binary64)) y))))) (+.f64 (.f64 y y) (.f64 (.f64 x #s(literal -2 binary64)) (-.f64 (*.f64 x #s(literal 2 binary64)) y))))
(.f64 (/.f64 (+.f64 (.f64 y y) (.f64 (.f64 x x) #s(literal -4 binary64))) (+.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)))) (+.f64 (.f64 y y) (.f64 (.f64 x #s(literal 2 binary64)) (+.f64 y (*.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 y y) (.f64 x (.f64 #s(literal 2 binary64) (-.f64 (.f64 x #s(literal 2 binary64)) y)))) (+.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 512 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 y (.f64 y y)))))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 y y) (.f64 x (.f64 #s(literal 2 binary64) (-.f64 (.f64 x #s(literal 2 binary64)) y)))) (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (*.f64 x x)) #s(literal -8 binary64)))))
(.f64 (pow.f64 (/.f64 (+.f64 y (.f64 x #s(literal -2 binary64))) (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (+.f64 (.f64 y y) (.f64 x (.f64 x #s(literal 4 binary64))))))))
(.f64 (pow.f64 (/.f64 (+.f64 y (.f64 x #s(literal -2 binary64))) (-.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 16 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y y) (.f64 x (.f64 x #s(literal 4 binary64))))))
(exp.f64 (log.f64 (*.f64 x #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 2 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (exp.f64 (log.f64 x)))

simplify155.0ms (8.7%)

Algorithm

1×	egg-herbie

Rules

1544×	`fnmadd-define`
1404×	`fmsub-define`
1344×	`fnmsub-define`
1318×	`fma-lowering-fma.f32`
1318×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	138
1	68	120
2	160	120
3	441	120
4	1347	120
5	3754	120
6	6035	120
0	8044	120

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

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

eval18.0ms (1%)

Compiler: Compiled 5063 to 415 computations (91.8% saved)

prune18.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	158	2	160
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	158	3	161

Accuracy

100.0%

Counts

161 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 y (*.f64 x #s(literal 2 binary64)))
▶	54.3%	(*.f64 #s(literal 2 binary64) x)
▶	46.6%	y

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	6
1	5	6
0	5	6

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
y
(* 2 x)
2
x

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

localize23.0ms (1.3%)

Localize:

Found 1 expressions of interest:

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

Results

18.0ms

256×

valid

Compiler

Compiled 9 to 5 computations (44.4% saved)

Precisions

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

ival-mult: 2.0ms (81% of total)

const: 0.0ms (0% of total)

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

series0.0ms (0%)

Counts

1 → 12

Calls

Call 1

Inputs
#<alt (* 2 x)>

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)>

Calls

3 calls:

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

rewrite12.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	4	3
0	4	3

Stop Event

1×	iter limit
1×	saturated

Counts

1 → 2

Calls

Call 1

Inputs
(* 2 x)

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

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	36
1	4	36
0	4	36

Stop Event

1×	iter limit
1×	saturated

Counts

12 → 12

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)

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)

eval1.0ms (0.1%)

Compiler: Compiled 44 to 5 computations (88.6% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	14	0	14
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	14	3	17

Accuracy

100.0%

Counts

17 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 y (*.f64 x #s(literal 2 binary64)))
✓	54.3%	(*.f64 #s(literal 2 binary64) x)
✓	46.6%	y

Compiler

Compiled 31 to 19 computations (38.7% saved)

regimes11.0ms (0.6%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	(+.f64 (+.f64 x y) x)
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(+.f64 (+.f64 x y) x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes3.0ms (0.2%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
79.4%	3	`x`
75.1%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
y

Outputs
y

Calls

2 calls:

1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
46.6%	1	`y`
46.6%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch18.0ms (1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	9903583212471992000.0	8.479884857632283e+19
10.0ms	-2.5013847284712796e-62	-2.335223482994574e-63

Results

8.0ms

192×

valid

Compiler

Compiled 132 to 104 computations (21.2% saved)

Precisions

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

ival-add: 2.0ms (86.5% of total)

const: 0.0ms (0% of total)

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

simplify12.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`if-if-or-not_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	19
1	18	19

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 x #s(literal -60790846849591/14474011154664524427946373126085988481658748083205070504932198000989141204992 binary64)) (*.f64 #s(literal 2 binary64) x) (if (<=.f64 x #s(literal 16500000000000000000 binary64)) y (*.f64 #s(literal 2 binary64) x)))

Outputs
(+.f64 y (*.f64 x #s(literal 2 binary64)))
(if (<=.f64 x #s(literal -60790846849591/14474011154664524427946373126085988481658748083205070504932198000989141204992 binary64)) (.f64 #s(literal 2 binary64) x) (if (<=.f64 x #s(literal 16500000000000000000 binary64)) y (.f64 #s(literal 2 binary64) x)))
(if (<=.f64 x #s(literal -60790846849591/14474011154664524427946373126085988481658748083205070504932198000989141204992 binary64)) (.f64 x #s(literal 2 binary64)) (if (<=.f64 x #s(literal 16500000000000000000 binary64)) y (.f64 x #s(literal 2 binary64))))
y

soundness406.0ms (22.8%)

Rules

1544×	`fnmadd-define`
1404×	`fmsub-define`
1344×	`fnmsub-define`
1318×	`fma-lowering-fma.f32`
1318×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	138
1	68	120
2	160	120
3	441	120
4	1347	120
5	3754	120
6	6035	120
0	8044	120
0	4	4
1	8	4
2	12	4
3	15	4
4	17	4
5	18	4
0	18	4

Stop Event

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

Compiler

Compiled 62 to 39 computations (37.1% saved)

preprocess42.0ms (2.4%)

Compiler: Compiled 74 to 40 computations (45.9% saved)

Graphics.Rendering.Plot.Render.Plot.Legend:renderLegendOutside from plot-0.2.3.4, A

analyze0.0ms (0%)

sample589.0ms (33%)

preprocess43.0ms (2.4%)

explain67.0ms (3.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.2%)

localize26.0ms (1.5%)

series2.0ms (0.1%)

rewrite320.0ms (17.9%)

simplify155.0ms (8.7%)

eval18.0ms (1%)

prune18.0ms (1%)

simplify4.0ms (0.2%)

localize23.0ms (1.3%)

series0.0ms (0%)

rewrite12.0ms (0.7%)

simplify4.0ms (0.2%)

eval1.0ms (0.1%)

prune2.0ms (0.1%)

regimes11.0ms (0.6%)

regimes3.0ms (0.2%)

regimes3.0ms (0.2%)

bsearch18.0ms (1%)

simplify12.0ms (0.7%)

soundness406.0ms (22.8%)

preprocess42.0ms (2.4%)

end0.0ms (0%)

Profiling