Metrics for Graphics.Rendering.Chart.Plot.Vectors:renderPlotVectors from Chart-1.5.3

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

Precisions

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

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

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

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

const: 0.0ms (0% of total)

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

sample945.0ms (19.1%)

Results

429.0ms	6290×	0	valid
210.0ms	1785×	1	valid
33.0ms	181×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 365.0ms

ival-sub: 176.0ms (48.3% of total)

ival-mult: 81.0ms (22.2% of total)

ival-add: 66.0ms (18.1% of total)

backward-pass: 30.0ms (8.2% of total)

const: 12.0ms (3.3% of total)

Bogosity

preprocess373.0ms (7.5%)

Algorithm

2×	egg-herbie

Rules

2042×	`sum3-define`
1802×	`fmsub-define`
1670×	`fnmsub-define`
1610×	`sum5-define`
1538×	`+-lowering-+.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	19	62
1	48	51
2	158	48
3	800	48
4	5230	38
0	7	9
1	15	8
2	36	8
3	118	8
4	915	6
5	3648	6
0	8102	6

Stop Event

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

Calls

Call 1

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

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

Call 2

Inputs
(+ x (* (- 1 x) (- 1 y)))
(+ (neg x) (* (- 1 (neg x)) (- 1 y)))
(+ x (* (- 1 x) (- 1 (neg y))))
(neg (+ (neg x) (* (- 1 (neg x)) (- 1 y))))
(neg (+ x (* (- 1 x) (- 1 (neg y)))))
(+ y (* (- 1 y) (- 1 x)))

Outputs
(+ x (* (- 1 x) (- 1 y)))
(+ 1 (fmsub x y y))
(+ (neg x) (* (- 1 (neg x)) (- 1 y)))
(+ 1 (fnmsub x y y))
(+ x (* (- 1 x) (- 1 (neg y))))
(- 1 (fmsub x y y))
(neg (+ (neg x) (* (- 1 (neg x)) (- 1 y))))
(- -1 (fnmsub x y y))
(neg (+ x (* (- 1 x) (- 1 (neg y)))))
(+ -1 (fmsub x y y))
(+ y (* (- 1 y) (- 1 x)))
(fma (- 1 x) (- 1 y) y)

explain83.0ms (1.7%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
69	4	(7205321082853842.0 -7.284059019842185e-125)	-	`(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))`
0	0	-	-	`x`
0	0	-	-	`(-.f64 #s(literal 1 binary64) x)`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))`
0	0	-	-	`y`
0	0	-	-	`(-.f64 #s(literal 1 binary64) y)`

Results

25.0ms	372×	0	valid
19.0ms	132×	1	valid
7.0ms	8×	2	valid

Compiler

Compiled 67 to 23 computations (65.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-sub: 13.0ms (53.1% of total)

ival-mult: 5.0ms (20.4% of total)

ival-add: 4.0ms (16.3% of total)

backward-pass: 3.0ms (12.3% of total)

const: 1.0ms (4.1% of total)

eval0.0ms (0%)

Compiler: Compiled 9 to 7 computations (22.2% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify49.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

968×	`sum5-define`
710×	`sum3-define`
664×	`fnmadd-define`
480×	`sum4-define`
456×	`fmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	18	18
2	37	18
3	54	17
4	77	17
5	123	17
6	237	17
7	513	17
8	1190	17
9	2314	17
10	2606	17
11	2707	17
12	2710	17
0	2710	17

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize24.0ms (0.5%)

Localize:

Found 3 expressions of interest:

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

Results

16.0ms

256×

valid

Compiler

Compiled 22 to 8 computations (63.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-add: 3.0ms (54.7% of total)

ival-mult: 2.0ms (36.5% of total)

const: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Counts

3 → 60

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(+ 1 (* y (+ x -1)))
1.0ms	x	@	-inf	(+ 1 (* y (+ x -1)))
1.0ms	y	@	-inf	(+ 1 (* y (+ x -1)))
0.0ms	y	@	0	(+ 1 (* y (+ x -1)))
0.0ms	x	@	inf	(+ 1 (* y (+ x -1)))

rewrite295.0ms (6%)

Algorithm

1×	batch-egg-rewrite

Rules

2300×	`-lowering-.f32`
2300×	`-lowering-.f64`
1686×	`fma-lowering-fma.f32`
1686×	`fma-lowering-fma.f64`
1564×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	43	14
2	362	14
3	4077	13
0	8036	13

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 202

Calls

Call 1

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

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

simplify172.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

1786×	`-lowering-.f32`
1786×	`-lowering-.f64`
1342×	`sum4-define`
1182×	`sum3-define`
1152×	`sum5-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	290
1	131	271
2	410	248
3	1040	248
4	3466	248
5	6550	248
0	8123	248

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

eval50.0ms (1%)

Compiler: Compiled 5790 to 686 computations (88.2% saved)

prune46.0ms (0.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	256	6	262
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	257	6	263

Accuracy

100.0%

Counts

263 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.1%	(-.f64 #s(literal 1 binary64) y)
▶	100.0%	(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) y))
	76.0%	(+.f64 #s(literal 1 binary64) (*.f64 y x))
▶	64.8%	(*.f64 y (+.f64 x #s(literal -1 binary64)))
▶	41.7%	(*.f64 y x)
▶	36.6%	#s(literal 1 binary64)

Compiler

Compiled 72 to 52 computations (27.8% saved)

simplify60.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Rules

960×	`sum5-define`
680×	`sum3-define`
668×	`fnmadd-define`
476×	`fmsub-define`
472×	`sum4-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	37
1	28	37
2	44	37
3	76	37
4	122	37
5	242	37
6	484	37
7	1118	37
8	2271	37
9	2550	37
10	2670	37
11	2677	37
0	2677	37

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize43.0ms (0.9%)

Localize:

Found 7 expressions of interest:

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

Results

30.0ms

256×

valid

Compiler

Compiled 43 to 11 computations (74.4% saved)

Precisions

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

ival-mult: 4.0ms (40.1% of total)

ival-sub: 3.0ms (30.1% of total)

ival-add: 2.0ms (20.1% of total)

const: 1.0ms (10% of total)

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

series10.0ms (0.2%)

Counts

6 → 120

Calls

Call 1

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

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

Calls

30 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(+ 1 (- (* y x) y))
0.0ms	y	@	inf	(- (* y x) y)
0.0ms	x	@	inf	(+ 1 (- (* y x) y))
0.0ms	y	@	-inf	(+ 1 (- (* y x) y))
0.0ms	x	@	0	(+ 1 (- (* y x) y))

rewrite329.0ms (6.6%)

Algorithm

1×	batch-egg-rewrite

Rules

4420×	`-lowering-.f32`
4420×	`-lowering-.f64`
3712×	`/-lowering-/.f32`
3712×	`/-lowering-/.f64`
1734×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	73	23
2	597	23
0	8654	23

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 385

Calls

Call 1

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

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

simplify156.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

2336×	`sum5-define`
2110×	`-lowering-.f32`
2110×	`-lowering-.f64`
1342×	`sum3-define`
872×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	52	506
1	161	444
2	472	444
3	1309	444
4	4011	444
5	7574	444
0	8046	444

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

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

eval62.0ms (1.2%)

Compiler: Compiled 11178 to 894 computations (92% saved)

prune76.0ms (1.5%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	534	1	535
Fresh	0	1	1
Picked	1	4	5
Done	0	0	0
Total	535	6	541

Accuracy

100.0%

Counts

541 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.8%	(-.f64 (*.f64 y x) y)
✓	60.1%	(-.f64 #s(literal 1 binary64) y)
✓	100.0%	(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) y))
▶	76.0%	(+.f64 #s(literal 1 binary64) (*.f64 y x))
✓	41.7%	(*.f64 y x)
✓	36.6%	#s(literal 1 binary64)

Compiler

Compiled 36 to 25 computations (30.6% saved)

simplify30.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

488×	`sum5-define`
428×	`sum3-define`
420×	`fnmadd-define`
274×	`fma-define`
258×	`fmsub-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	20
1	14	19
2	22	19
3	33	19
4	51	19
5	95	19
6	208	19
7	563	19
8	1292	19
9	1458	19
10	1516	19
11	1530	19
0	1530	19

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize27.0ms (0.5%)

Localize:

Found 4 expressions of interest:

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

Results

18.0ms

256×

valid

Compiler

Compiled 24 to 7 computations (70.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 3.0ms (43.8% of total)

ival-sub: 2.0ms (29.2% of total)

ival-add: 1.0ms (14.6% of total)

const: 0.0ms (0% of total)

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

series1.0ms (0%)

Counts

3 → 72

Calls

Call 1

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

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

Calls

18 calls:

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

rewrite242.0ms (4.9%)

Algorithm

1×	batch-egg-rewrite

Rules

2712×	`-lowering-.f32`
2712×	`-lowering-.f64`
1936×	`fmsub-define`
1924×	`fmm-def`
1672×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	12
1	37	11
2	287	11
3	3131	11
0	8437	11

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 195

Calls

Call 1

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

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

simplify168.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1970×	`fmsub-define`
1934×	`fnmsub-define`
1712×	`fmm-def`
1586×	`fma-lowering-fma.f32`
1586×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	289
1	114	250
2	285	250
3	671	250
4	1726	250
5	5786	250
0	8118	250

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

eval35.0ms (0.7%)

Compiler: Compiled 7125 to 512 computations (92.8% saved)

prune31.0ms (0.6%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	299	0	299
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	299	6	305

Accuracy

100.0%

Counts

305 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	64.8%	(-.f64 (*.f64 y x) y)
✓	60.1%	(-.f64 #s(literal 1 binary64) y)
✓	100.0%	(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) y))
✓	76.0%	(+.f64 #s(literal 1 binary64) (*.f64 y x))
✓	41.7%	(*.f64 y x)
✓	36.6%	#s(literal 1 binary64)

Compiler

Compiled 83 to 40 computations (51.8% saved)

regimes16.0ms (0.3%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	(-.f64 #s(literal 1 binary64) y)
3.0ms	x
3.0ms	y
3.0ms	(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))

Results

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

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes17.0ms (0.3%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	y
3.0ms	x
3.0ms	(-.f64 #s(literal 1 binary64) y)

Results

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes10.0ms (0.2%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	x
3.0ms	y
2.0ms	(-.f64 #s(literal 1 binary64) y)

Results

Accuracy	Segments	Branch
99.0%	3	`x`
99.1%	3	`y`
99.1%	3	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes5.0ms (0.1%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	y
2.0ms	(-.f64 #s(literal 1 binary64) y)

Results

Accuracy	Segments	Branch
99.1%	3	`y`
99.1%	3	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes8.0ms (0.2%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	x
2.0ms	y
2.0ms	(-.f64 #s(literal 1 binary64) y)

Results

Accuracy	Segments	Branch
90.4%	3	`x`
88.4%	3	`y`
86.9%	3	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes3.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
65.2%	3	`y`
67.2%	3	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

Calls

2 calls:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
36.6%	1	`y`
36.6%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.016187041272819	28.11131613056595
0.0ms	-1718452254374545.5	-3.93095664275105

Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.016187041272819	28.11131613056595
0.0ms	-1718452254374545.5	-3.93095664275105

Compiler

Compiled 16 to 12 computations (25% saved)

bsearch18.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	105299301123634130.0	107956896588492160.0
16.0ms	-1.0899148329181876e+119	-3.8672906924865154e+115

Results

7.0ms	61×	1	valid
5.0ms	67×	0	valid

Compiler

Compiled 112 to 83 computations (25.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-sub: 2.0ms (36.5% of total)

ival-add: 1.0ms (18.3% of total)

ival-mult: 1.0ms (18.3% of total)

backward-pass: 1.0ms (18.3% of total)

const: 0.0ms (0% of total)

bsearch36.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	3.5874479538468267e+24	1.0667102352851705e+26
19.0ms	-7.238881203320702e+90	-9.536829478506819e+85

Results

13.0ms	118×	1	valid
8.0ms	138×	0	valid

Compiler

Compiled 176 to 139 computations (21% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-sub: 6.0ms (48.2% of total)

ival-mult: 3.0ms (24.1% of total)

ival-add: 2.0ms (16.1% of total)

backward-pass: 2.0ms (16.1% of total)

const: 0.0ms (0% of total)

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative_binary64`
6×	`*-commutative_binary64`
6×	`sub-neg_binary64`
6×	`if-if-or-not_binary32`
2×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	93
1	53	93
2	57	93
3	59	93
4	60	93

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) y))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1 binary64))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1000000000000000 binary64)) (.f64 y (+.f64 x #s(literal -1 binary64))) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 y x)) (-.f64 (*.f64 y x) y)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1000000000000000 binary64)) (.f64 y (+.f64 x #s(literal -1 binary64))) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 y x)) (*.f64 y (+.f64 x #s(literal -1 binary64)))))
(if (<=.f64 x #s(literal -39000000000000000606817229049206877946459854479921395901421052636802517465425472427334430206686850459372044953845760 binary64)) (.f64 y x) (if (<=.f64 x #s(literal 106000000000000000 binary64)) (-.f64 #s(literal 1 binary64) y) (.f64 y x)))
(if (<=.f64 x #s(literal -95999999999999998643848203428562295999221781924196704710303046700145828903100539207680 binary64)) (.f64 y x) (if (<=.f64 x #s(literal 19200000000000000536870912 binary64)) #s(literal 1 binary64) (.f64 y x)))
#s(literal 1 binary64)

Outputs
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) y))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1 binary64))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1000000000000000 binary64)) (.f64 y (+.f64 x #s(literal -1 binary64))) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 y x)) (-.f64 (*.f64 y x) y)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1000000000000000 binary64)) (.f64 y (+.f64 x #s(literal -1 binary64))) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 y x)) (*.f64 y (+.f64 x #s(literal -1 binary64)))))
(if (<=.f64 x #s(literal -39000000000000000606817229049206877946459854479921395901421052636802517465425472427334430206686850459372044953845760 binary64)) (.f64 y x) (if (<=.f64 x #s(literal 106000000000000000 binary64)) (-.f64 #s(literal 1 binary64) y) (.f64 y x)))
(if (<=.f64 x #s(literal -95999999999999998643848203428562295999221781924196704710303046700145828903100539207680 binary64)) (.f64 y x) (if (<=.f64 x #s(literal 19200000000000000536870912 binary64)) #s(literal 1 binary64) (.f64 y x)))
#s(literal 1 binary64)

soundness1.5s (29.6%)

Rules

4420×	`-lowering-.f32`
4420×	`-lowering-.f64`
3712×	`/-lowering-/.f32`
3712×	`/-lowering-/.f64`
2300×	`-lowering-.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	73	23
2	597	23
0	8654	23
0	7	9
1	15	8
2	36	8
3	118	8
4	915	6
5	3648	6
0	8102	6
0	41	290
1	131	271
2	410	248
3	1040	248
4	3466	248
5	6550	248
0	8123	248
0	7	15
1	43	14
2	362	14
3	4077	13
0	8036	13

Stop Event

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

Compiler

Compiled 199 to 107 computations (46.2% saved)

preprocess49.0ms (1%)

Compiler: Compiled 246 to 90 computations (63.4% saved)

analyze0.0ms (0%)

sample945.0ms (19.1%)

preprocess373.0ms (7.5%)

explain83.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify49.0ms (1%)

localize24.0ms (0.5%)

series9.0ms (0.2%)

rewrite295.0ms (6%)

simplify172.0ms (3.5%)

eval50.0ms (1%)

prune46.0ms (0.9%)

simplify60.0ms (1.2%)

localize43.0ms (0.9%)

series10.0ms (0.2%)

rewrite329.0ms (6.6%)

simplify156.0ms (3.1%)

eval62.0ms (1.2%)

prune76.0ms (1.5%)

simplify30.0ms (0.6%)

localize27.0ms (0.5%)

series1.0ms (0%)

rewrite242.0ms (4.9%)

simplify168.0ms (3.4%)

eval35.0ms (0.7%)

prune31.0ms (0.6%)

regimes16.0ms (0.3%)

regimes17.0ms (0.3%)

regimes10.0ms (0.2%)

regimes5.0ms (0.1%)

regimes8.0ms (0.2%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch18.0ms (0.4%)

bsearch36.0ms (0.7%)

simplify10.0ms (0.2%)

soundness1.5s (29.6%)

preprocess49.0ms (1%)

end0.0ms (0%)

Profiling