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)

sample917.0ms (23.2%)

Results

359.0ms	6326×	0	valid
244.0ms	1751×	1	valid
61.0ms	179×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 385.0ms

ival-sub: 145.0ms (37.7% of total)

ival-mult: 123.0ms (31.9% of total)

ival-add: 64.0ms (16.6% of total)

backward-pass: 40.0ms (10.4% of total)

const: 12.0ms (3.1% of total)

Bogosity

preprocess194.0ms (4.9%)

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)

explain94.0ms (2.4%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
50	4	(-45162425517.53846 -1.6319772188707516e-307)	-	`(+.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

47.0ms	408×	0	valid
14.0ms	90×	1	valid
3.0ms	14×	2	valid

Compiler

Compiled 67 to 23 computations (65.7% saved)

Precisions

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

ival-sub: 7.0ms (36.3% of total)

ival-mult: 4.0ms (20.7% of total)

backward-pass: 4.0ms (20.7% of total)

ival-add: 3.0ms (15.5% of total)

const: 1.0ms (5.2% 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)

simplify55.0ms (1.4%)

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)

localize35.0ms (0.9%)

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

28.0ms

256×

valid

Compiler

Compiled 22 to 8 computations (63.6% saved)

Precisions

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

ival-mult: 8.0ms (73.3% of total)

ival-add: 3.0ms (27.5% of total)

const: 0.0ms (0% of total)

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

series3.0ms (0.1%)

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
1.0ms	x	@	-inf	(+ 1 (* y (+ x -1)))
0.0ms	y	@	-inf	(+ 1 (* y (+ x -1)))
0.0ms	y	@	inf	(+ 1 (* y (+ x -1)))
0.0ms	x	@	inf	(+ 1 (* y (+ x -1)))
0.0ms	y	@	0	(+ 1 (* y (+ x -1)))

rewrite271.0ms (6.9%)

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	364	14
3	4096	13
0	8143	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 (.f64 y (+.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 #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 (.f64 y (+.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 #s(literal 1 binary64) (*.f64 y x)) y)
(-.f64 (/.f64 (.f64 (.f64 y (+.f64 x #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 #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 (.f64 y (+.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)))))))
(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 (.f64 y (+.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)))) (neg.f64 (/.f64 (.f64 (.f64 y (+.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)))))))
(fma.f64 (/.f64 #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))) (.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 (.f64 y (+.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)))))))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (+.f64 x #s(literal -1 binary64))) (.f64 (.f64 y (+.f64 x #s(literal -1 binary64))) (.f64 y (+.f64 x #s(literal -1 binary64)))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 y (+.f64 (.f64 y (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y (+.f64 x #s(literal -1 binary64))) (.f64 y (+.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 -1 binary64) (neg.f64 (.f64 (.f64 y (+.f64 x #s(literal -1 binary64))) (.f64 (.f64 y (+.f64 x #s(literal -1 binary64))) (.f64 y (+.f64 x #s(literal -1 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 y (+.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 (.f64 y (+.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 #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 (.f64 y (+.f64 x #s(literal -1 binary64))) (.f64 y (+.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 (.f64 y (+.f64 x #s(literal -1 binary64))) (.f64 (.f64 y (+.f64 x #s(literal -1 binary64))) (.f64 y (+.f64 x #s(literal -1 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 y (+.f64 (.f64 y (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y (+.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 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 y (+.f64 x #s(literal -1 binary64))) (.f64 (.f64 y (+.f64 x #s(literal -1 binary64))) (.f64 y (+.f64 x #s(literal -1 binary64))))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 y (+.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 (.f64 y (+.f64 x #s(literal -1 binary64))) (.f64 y (+.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 (.f64 y (+.f64 x #s(literal -1 binary64))) (.f64 (.f64 y (+.f64 x #s(literal -1 binary64))) (.f64 y (+.f64 x #s(literal -1 binary64))))) (.f64 (.f64 (.f64 y (+.f64 x #s(literal -1 binary64))) (.f64 (.f64 y (+.f64 x #s(literal -1 binary64))) (.f64 y (+.f64 x #s(literal -1 binary64))))) (.f64 (.f64 y (+.f64 x #s(literal -1 binary64))) (.f64 (.f64 y (+.f64 x #s(literal -1 binary64))) (.f64 y (+.f64 x #s(literal -1 binary64)))))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 y (+.f64 (.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))) (.f64 (.f64 y (+.f64 x #s(literal -1 binary64))) (.f64 y (+.f64 x #s(literal -1 binary64))))) (-.f64 (.f64 (.f64 y (+.f64 x #s(literal -1 binary64))) (.f64 (.f64 y (+.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 (.f64 y (+.f64 x #s(literal -1 binary64))) (.f64 (.f64 y (+.f64 x #s(literal -1 binary64))) (.f64 y (+.f64 x #s(literal -1 binary64))))) (.f64 (.f64 y (+.f64 x #s(literal -1 binary64))) (.f64 (.f64 y (+.f64 x #s(literal -1 binary64))) (.f64 y (+.f64 x #s(literal -1 binary64))))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 y (+.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))) (.f64 (.f64 y (+.f64 x #s(literal -1 binary64))) (.f64 y (+.f64 x #s(literal -1 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y (+.f64 x #s(literal -1 binary64))) (.f64 (.f64 y (+.f64 x #s(literal -1 binary64))) (.f64 y (+.f64 x #s(literal -1 binary64))))) (.f64 (.f64 y (+.f64 x #s(literal -1 binary64))) (.f64 (.f64 y (+.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 (.f64 y (+.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 y (+.f64 x #s(literal -1 binary64)))))))))
(/.f64 (+.f64 (.f64 (.f64 y (+.f64 x #s(literal -1 binary64))) (.f64 y (+.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 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(.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)))

simplify164.0ms (4.1%)

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	6552	248
0	8126	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))

eval31.0ms (0.8%)

Compiler: Compiled 5798 to 684 computations (88.2% saved)

prune29.0ms (0.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	257	5	262
Fresh	0	0	0
Picked	0	1	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
▶	65.3%	(-.f64 #s(literal 1 binary64) y)
✓	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1 binary64))))
▶	71.1%	(+.f64 #s(literal 1 binary64) (*.f64 y x))
▶	64.8%	(*.f64 y (+.f64 x #s(literal -1 binary64)))
▶	36.9%	(*.f64 y x)
▶	36.7%	#s(literal 1 binary64)

Compiler

Compiled 63 to 47 computations (25.4% saved)

simplify33.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 6 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 #s(literal 1 binary64) (*.f64 y x))

Rules

488×	`sum5-define`
454×	`sum3-define`
452×	`fnmadd-define`
290×	`fma-define`
290×	`fmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	33
1	22	32
2	33	32
3	46	31
4	69	31
5	118	31
6	243	31
7	602	31
8	1360	31
9	1546	31
10	1623	31
11	1645	31
0	1645	31

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

localize41.0ms (1%)

Localize:

Found 6 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 y x))
✓	accuracy	100.0%	(*.f64 y x)

Results

28.0ms

256×

valid

Compiler

Compiled 36 to 10 computations (72.2% saved)

Precisions

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

ival-add: 5.0ms (46.8% of total)

ival-mult: 4.0ms (37.5% of total)

ival-sub: 1.0ms (9.4% of total)

const: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Counts

5 → 96

Calls

Call 1

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

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 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

24 calls:

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

rewrite570.0ms (14.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2882×	`-lowering-.f32`
2882×	`-lowering-.f64`
1830×	`fma-lowering-fma.f32`
1830×	`fma-lowering-fma.f64`
1758×	`fmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	57	18
2	428	18
3	3896	17
0	9062	17

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 284

Calls

Call 1

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

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

simplify238.0ms (6%)

Algorithm

1×	egg-herbie

Rules

2246×	`fnmsub-define`
1956×	`fma-lowering-fma.f32`
1956×	`fma-lowering-fma.f64`
1890×	`fmm-def`
1592×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	360
1	125	333
2	313	312
3	648	312
4	1789	312
5	6809	312
0	8075	312

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

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)
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 (* 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)
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 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)))
-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))

eval61.0ms (1.5%)

Compiler: Compiled 6845 to 753 computations (89% saved)

prune45.0ms (1.1%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	408	0	408
Fresh	0	0	0
Picked	0	5	5
Done	0	1	1
Total	408	6	414

Accuracy

100.0%

Counts

414 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	65.3%	(-.f64 #s(literal 1 binary64) y)
✓	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1 binary64))))
✓	71.1%	(+.f64 #s(literal 1 binary64) (*.f64 y x))
✓	64.8%	(*.f64 y (+.f64 x #s(literal -1 binary64)))
✓	36.9%	(*.f64 y x)
✓	36.7%	#s(literal 1 binary64)

Compiler

Compiled 71 to 40 computations (43.7% saved)

regimes13.0ms (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 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1 binary64))))
(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))

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

Calls

4 calls:

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

regimes9.0ms (0.2%)

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.3%	3	`x`
98.7%	3	`y`
98.7%	3	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes7.0ms (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 (+.f64 x #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) y)
(*.f64 y (+.f64 x #s(literal -1 binary64)))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
91.4%	3	`y`
91.4%	3	`(-.f64 #s(literal 1 binary64) y)`
89.5%	3	`x`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes7.0ms (0.2%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
89.5%	3	`x`
69.1%	3	`(-.f64 #s(literal 1 binary64) y)`
69.1%	3	`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	y
1.0ms	x

Results

Accuracy	Segments	Branch
63.0%	3	`y`
61.1%	3	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.2%)

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:

6.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
36.7%	1	`x`
36.7%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch24.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	1.1738590133912476e-21	1.2198447586731114e-20
15.0ms	-58451.358894948295	-0.012408147778102657

Results

15.0ms

240×

valid

Compiler

Compiled 226 to 176 computations (22.1% saved)

Precisions

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

ival-add: 4.0ms (45.9% of total)

ival-sub: 3.0ms (34.4% of total)

ival-mult: 2.0ms (22.9% of total)

const: 0.0ms (0% of total)

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

bsearch20.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
3.0ms	0.11431147072824056	0.12318170346910834
15.0ms	-2.2947078443342482e-48	-2.166864774356251e-51

Results

8.0ms	72×	1	valid
5.0ms	88×	0	valid

Compiler

Compiled 156 to 121 computations (22.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-sub: 2.0ms (31.4% of total)

ival-mult: 2.0ms (31.4% of total)

backward-pass: 1.0ms (15.7% of total)

ival-add: 1.0ms (15.7% of total)

const: 0.0ms (0% of total)

bsearch58.0ms (1.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
31.0ms	4.938000438762951e+85	8.483552337189982e+89
24.0ms	-1.6749773541479104e+21	-1349541403258.8489

Results

29.0ms	104×	1	valid
17.0ms	168×	0	valid

Compiler

Compiled 220 to 164 computations (25.5% saved)

Precisions

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

ival-mult: 12.0ms (62.5% of total)

ival-sub: 4.0ms (20.8% of total)

ival-add: 2.0ms (10.4% of total)

backward-pass: 1.0ms (5.2% of total)

const: 0.0ms (0% of total)

bsearch22.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
3.0ms	0.11431147072824056	0.12318170346910834
18.0ms	-2.2947078443342482e-48	-2.166864774356251e-51

Results

7.0ms	58×	1	valid
5.0ms	102×	0	valid

Compiler

Compiled 116 to 91 computations (21.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-sub: 2.0ms (33.3% of total)

ival-mult: 2.0ms (33.3% of total)

backward-pass: 1.0ms (16.7% of total)

ival-add: 1.0ms (16.7% of total)

const: 0.0ms (0% of total)

simplify10.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative_binary64`
8×	`if-if-or-not_binary32`
6×	`*-commutative_binary64`
4×	`sub-neg_binary64`
2×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	70
1	55	70
2	58	70
3	60	70
4	61	70

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1 binary64))))
(if (<=.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 y x)) (if (<=.f64 x #s(literal 7975367974709495/664613997892457936451903530140172288 binary64)) (-.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (.f64 y x))))
(if (<=.f64 y #s(literal -6108112916776317/105312291668557186697918027683670432318895095400549111254310977536 binary64)) (.f64 y (+.f64 x #s(literal -1 binary64))) (if (<=.f64 y #s(literal 1080863910568919/9007199254740992 binary64)) (-.f64 #s(literal 1 binary64) y) (.f64 y (+.f64 x #s(literal -1 binary64)))))
(if (<=.f64 x #s(literal -190000000000000 binary64)) (.f64 y x) (if (<=.f64 x #s(literal 50000000000000000731534761533743651548502149393232752963930539358489818212557410795520 binary64)) (-.f64 #s(literal 1 binary64) y) (.f64 y x)))
(if (<=.f64 y #s(literal -3027728385471019/13164036458569648337239753460458804039861886925068638906788872192 binary64)) (.f64 y x) (if (<=.f64 y #s(literal 8286623314361713/72057594037927936 binary64)) #s(literal 1 binary64) (.f64 y x)))
#s(literal 1 binary64)

Outputs
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1 binary64))))
(if (<=.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 y x)) (if (<=.f64 x #s(literal 7975367974709495/664613997892457936451903530140172288 binary64)) (-.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (.f64 y x))))
(if (<=.f64 y #s(literal -6108112916776317/105312291668557186697918027683670432318895095400549111254310977536 binary64)) (.f64 y (+.f64 x #s(literal -1 binary64))) (if (<=.f64 y #s(literal 1080863910568919/9007199254740992 binary64)) (-.f64 #s(literal 1 binary64) y) (.f64 y (+.f64 x #s(literal -1 binary64)))))
(if (<=.f64 x #s(literal -190000000000000 binary64)) (.f64 y x) (if (<=.f64 x #s(literal 50000000000000000731534761533743651548502149393232752963930539358489818212557410795520 binary64)) (-.f64 #s(literal 1 binary64) y) (.f64 y x)))
(if (<=.f64 y #s(literal -3027728385471019/13164036458569648337239753460458804039861886925068638906788872192 binary64)) (.f64 y x) (if (<=.f64 y #s(literal 8286623314361713/72057594037927936 binary64)) #s(literal 1 binary64) (.f64 y x)))
#s(literal 1 binary64)

soundness939.0ms (23.7%)

Rules

2042×	`sum3-define`
1786×	`-lowering-.f32`
1786×	`-lowering-.f64`
1538×	`+-lowering-+.f64`
1538×	`+-lowering-+.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	41	290
1	131	271
2	410	248
3	1040	248
4	3466	248
5	6552	248
0	8126	248
0	7	9
1	15	8
2	36	8
3	118	8
4	915	6
5	3648	6
0	8102	6

Stop Event

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

Compiler

Compiled 149 to 87 computations (41.6% saved)

preprocess47.0ms (1.2%)

Compiler: Compiled 208 to 92 computations (55.8% saved)

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

analyze0.0ms (0%)

sample917.0ms (23.2%)

preprocess194.0ms (4.9%)

explain94.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify55.0ms (1.4%)

localize35.0ms (0.9%)

series3.0ms (0.1%)

rewrite271.0ms (6.9%)

simplify164.0ms (4.1%)

eval31.0ms (0.8%)

prune29.0ms (0.7%)

simplify33.0ms (0.8%)

localize41.0ms (1%)

series5.0ms (0.1%)

rewrite570.0ms (14.4%)

simplify238.0ms (6%)

eval61.0ms (1.5%)

prune45.0ms (1.1%)

regimes13.0ms (0.3%)

regimes9.0ms (0.2%)

regimes7.0ms (0.2%)

regimes7.0ms (0.2%)

regimes3.0ms (0.1%)

regimes7.0ms (0.2%)

bsearch24.0ms (0.6%)

bsearch20.0ms (0.5%)

bsearch58.0ms (1.5%)

bsearch22.0ms (0.6%)

simplify10.0ms (0.3%)

soundness939.0ms (23.7%)

preprocess47.0ms (1.2%)

end0.0ms (0%)

Profiling