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 9 computations (25% 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)

sample1.1s (9.2%)

Results

545.0ms	6348×	0	valid
244.0ms	1732×	1	valid
41.0ms	176×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 377.0ms

ival-sub: 166.0ms (44% of total)

ival-mult: 88.0ms (23.3% of total)

ival-add: 58.0ms (15.4% of total)

backward-pass: 48.0ms (12.7% of total)

const: 17.0ms (4.5% of total)

Bogosity

preprocess1.4s (11.3%)

Algorithm

2×	egg-herbie

Rules

30512×	`accelerator-lowering-fma.f32`
30512×	`accelerator-lowering-fma.f64`
3744×	`-lowering-.f32`
3744×	`-lowering-.f64`
2596×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	62
1	48	55
2	147	54
3	632	54
4	2211	42
5	3860	42
6	4928	42
7	5456	42
8	5713	42
9	5865	42
10	5954	42
11	6074	42
12	6415	42
13	7128	42
14	7479	42
15	7744	42
16	7903	42
17	7952	42
18	7960	42
0	7	9
1	15	9
2	34	9
3	102	9
4	358	7
5	1286	7
6	3156	7
7	4817	7
8	5526	7
9	5785	7
10	5981	7
11	6073	7
12	6231	7
13	6610	7
14	6823	7
15	6975	7
16	7051	7
17	7094	7
18	7226	7
19	7732	7
0	8185	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 (- (* x y) y))
(+ (neg x) (* (- 1 (neg x)) (- 1 y)))
(+ 1 (* y (- -1 x)))
(+ x (* (- 1 x) (- 1 (neg y))))
(- (+ 1 y) (* x y))
(neg (+ (neg x) (* (- 1 (neg x)) (- 1 y))))
(+ y (+ -1 (* x y)))
(neg (+ x (* (- 1 x) (- 1 (neg y)))))
(+ -1 (- (* x y) y))
(+ y (* (- 1 y) (- 1 x)))
(+ 1 (- (* x y) x))

explain120.0ms (1%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
61	3	(60715573351.202644 -3.5949981224062023e-172)	-	`(+.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

41.0ms	388×	0	valid
34.0ms	114×	1	valid
5.0ms	10×	2	valid

Compiler

Compiled 67 to 46 computations (31.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-sub: 20.0ms (44.2% of total)

ival-mult: 11.0ms (24.3% of total)

backward-pass: 8.0ms (17.7% of total)

ival-add: 4.0ms (8.8% of total)

const: 2.0ms (4.4% 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)

localize75.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

384×	`accelerator-lowering-fma.f32`
384×	`accelerator-lowering-fma.f64`
160×	`-lowering-.f32`
160×	`-lowering-.f64`
120×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	18	19
2	30	19
3	39	19
4	53	19
5	84	19
6	137	19
7	262	19
8	383	19
9	469	19
10	484	19
11	488	19
0	488	18

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)

Results

27.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 22 to 15 computations (31.8% saved)

Precisions

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

ival-add: 6.0ms (57.4% of total)

ival-mult: 4.0ms (38.3% of total)

const: 1.0ms (9.6% of total)

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

series17.0ms (0.1%)

Counts

3 → 60

Calls

Call 1

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

Outputs
#<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 (+ 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 -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
10.0ms	y	@	inf	(+ 1 (* y (+ x -1)))
1.0ms	x	@	-inf	(* y (+ x -1))
0.0ms	y	@	0	(* y (+ x -1))
0.0ms	y	@	inf	(* y (+ x -1))
0.0ms	y	@	-inf	(* y (+ x -1))

rewrite822.0ms (6.9%)

Algorithm

1×	batch-egg-rewrite

Rules

5076×	`accelerator-lowering-fma.f32`
5076×	`accelerator-lowering-fma.f64`
4252×	`/-lowering-/.f32`
4252×	`/-lowering-/.f64`
3534×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	43	15
2	341	15
3	3640	15
0	9677	14

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 410

Calls

Call 1

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

Outputs
(+.f64 (*.f64 y x) (neg.f64 y))
(+.f64 (neg.f64 y) (*.f64 y x))
(exp.f64 (log.f64 (*.f64 y (+.f64 x #s(literal -1 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)))
(-.f64 (*.f64 y x) y)
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 y y)) (.f64 y (+.f64 x #s(literal 1 binary64)))) (/.f64 (.f64 y y) (.f64 y (+.f64 x #s(literal 1 binary64)))))
(fma.f64 y x (neg.f64 y))
(fma.f64 y #s(literal -1 binary64) (*.f64 y x))
(fma.f64 y (*.f64 x #s(literal 1 binary64)) (neg.f64 y))
(fma.f64 x y (neg.f64 y))
(fma.f64 #s(literal -1 binary64) y (*.f64 y x))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (neg.f64 y))
(fma.f64 #s(literal 1 binary64) (neg.f64 y) (*.f64 y x))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (neg.f64 y))
(fma.f64 (neg.f64 y) #s(literal 1 binary64) (*.f64 y x))
(fma.f64 (*.f64 x #s(literal 1 binary64)) y (neg.f64 y))
(/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 y y)) (.f64 (neg.f64 y) (-.f64 (neg.f64 y) (.f64 y x)))) (+.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))))))
(/.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) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64)))) (.f64 y (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (+.f64 #s(literal -1 binary64) (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 y y)) (.f64 (neg.f64 y) (-.f64 (neg.f64 y) (.f64 y x)))) (+.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))))
(/.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 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64)))) (.f64 y (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (+.f64 #s(literal -1 binary64) (.f64 x x)))))
(/.f64 (neg.f64 y) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (+.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (+.f64 (.f64 (.f64 x x) (.f64 y y)) (.f64 (neg.f64 y) (-.f64 (neg.f64 y) (.f64 y x)))))
(/.f64 (+.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (+.f64 (.f64 y y) (-.f64 (.f64 (.f64 x x) (.f64 y y)) (neg.f64 (.f64 (*.f64 y x) y)))))
(/.f64 (.f64 (.f64 y (+.f64 x #s(literal -1 binary64))) (.f64 y (+.f64 x #s(literal 1 binary64)))) (.f64 y (+.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 y (+.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 y (+.f64 #s(literal -1 binary64) (.f64 x x))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (+.f64 (.f64 (.f64 x x) (.f64 y y)) (.f64 (neg.f64 y) (-.f64 (neg.f64 y) (*.f64 y x)))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 y (+.f64 x #s(literal -1 binary64))) (.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 #s(literal -1 binary64) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal -1 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) #s(literal 1 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 y y)) (.f64 (neg.f64 y) (-.f64 (neg.f64 y) (*.f64 y x)))))
(/.f64 (.f64 (.f64 (.f64 y (+.f64 x #s(literal -1 binary64))) (.f64 y (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) (*.f64 y (+.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 y (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (.f64 (.f64 y (+.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (neg.f64 (+.f64 (.f64 (.f64 x x) (.f64 y y)) (.f64 (neg.f64 y) (-.f64 (neg.f64 y) (.f64 y x))))))
(/.f64 (neg.f64 (+.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (neg.f64 (+.f64 (.f64 y y) (-.f64 (.f64 (.f64 x x) (.f64 y y)) (neg.f64 (.f64 (*.f64 y x) y))))))
(/.f64 (neg.f64 (.f64 (.f64 y (+.f64 x #s(literal -1 binary64))) (.f64 y (+.f64 x #s(literal 1 binary64))))) (neg.f64 (.f64 y (+.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 y (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (.f64 y (+.f64 #s(literal -1 binary64) (.f64 x x)))) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 y y) (.f64 (.f64 x x) (.f64 y y))) (-.f64 (neg.f64 y) (*.f64 y x)))
(/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (.f64 y (neg.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)))) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 y (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal -1 binary64) x))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) y) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (.f64 x x))) y) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) y) (-.f64 #s(literal -1 binary64) x))
(/.f64 (exp.f64 (log.f64 (+.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))))) (exp.f64 (log.f64 (+.f64 (.f64 (.f64 x x) (.f64 y y)) (.f64 (neg.f64 y) (-.f64 (neg.f64 y) (.f64 y x)))))))
(/.f64 (exp.f64 (log.f64 (.f64 (.f64 y (+.f64 x #s(literal -1 binary64))) (.f64 y (+.f64 x #s(literal 1 binary64)))))) (exp.f64 (log.f64 (.f64 y (+.f64 x #s(literal 1 binary64))))))
(/.f64 (exp.f64 (log.f64 (.f64 y (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))))) (exp.f64 (log1p.f64 (.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (exp.f64 (log.f64 (.f64 y (+.f64 #s(literal -1 binary64) (.f64 x x))))) (exp.f64 (log1p.f64 x)))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))))) (neg.f64 (+.f64 (.f64 (.f64 x x) (.f64 y y)) (.f64 (neg.f64 y) (-.f64 (neg.f64 y) (*.f64 y x))))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 y (+.f64 x #s(literal -1 binary64))) (.f64 y (+.f64 x #s(literal 1 binary64)))))) (neg.f64 (*.f64 y (+.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal -1 binary64) (*.f64 x x))))) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) #s(literal 1 binary64))) (neg.f64 (+.f64 (.f64 (.f64 x x) (.f64 y y)) (.f64 (neg.f64 y) (-.f64 (neg.f64 y) (*.f64 y x))))))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 y (+.f64 x #s(literal -1 binary64))) (.f64 y (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))) (neg.f64 (*.f64 y (+.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 y (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 y (+.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal 1 binary64))) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))))) (neg.f64 (neg.f64 (+.f64 (.f64 (.f64 x x) (.f64 y y)) (.f64 (neg.f64 y) (-.f64 (neg.f64 y) (.f64 y x)))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 y (+.f64 x #s(literal -1 binary64))) (.f64 y (+.f64 x #s(literal 1 binary64)))))) (neg.f64 (neg.f64 (.f64 y (+.f64 x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (.f64 y (+.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 x #s(literal 1 binary64)))))))
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(/.f64 (neg.f64 (.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))))) (neg.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 (/.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 (neg.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)))))) (neg.f64 (+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64))))))) (neg.f64 (-.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1 binary64)) (.f64 x (*.f64 x x)))))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (neg.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x x)))))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (neg.f64 (+.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 (+.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 x (+.f64 x #s(literal 1 binary64))))))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (/.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 x #s(literal 1 binary64)) (/.f64 (+.f64 x #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 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64)))))))
(.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.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 x)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (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 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64))))) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64))))) (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 #s(literal 1 binary64) (+.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 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(.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 x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)))))
(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64)))) (-.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 x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) x))))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1 binary64)) (.f64 x (*.f64 x x)))))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))
(.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x x)))))
(.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (.f64 (.f64 x 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))))

simplify380.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

6582×	`accelerator-lowering-fma.f32`
6582×	`accelerator-lowering-fma.f64`
2978×	`-lowering-.f32`
2978×	`-lowering-.f64`
1100×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	290
1	123	289
2	361	289
3	792	289
4	2274	289
5	4186	289
6	6470	289
7	7361	289
0	8022	271

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
(* 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
(+ 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)))))
-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
(* 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)
(+ 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))))
-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))

eval375.0ms (3.1%)

Compiler: Compiled 12485 to 7749 computations (37.9% saved)

prune72.0ms (0.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	463	7	470
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	464	7	471

Accuracy

100.0%

Counts

471 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (+.f64 x #s(literal -1 binary64)) y #s(literal 1 binary64))
	100.0%	(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) y)
▶	63.8%	(-.f64 #s(literal 1 binary64) y)
	77.0%	(+.f64 #s(literal 1 binary64) (*.f64 y x))
▶	60.1%	(*.f64 y (+.f64 x #s(literal -1 binary64)))
▶	38.0%	(*.f64 y x)
▶	41.4%	#s(literal 1 binary64)

Compiler

Compiled 88 to 64 computations (27.3% saved)

localize100.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 x #s(literal -1 binary64))
✓	cost-diff	0	(*.f64 y (+.f64 x #s(literal -1 binary64)))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(*.f64 y x)
✓	cost-diff	0	(+.f64 x #s(literal -1 binary64))
✓	cost-diff	6272	(fma.f64 (+.f64 x #s(literal -1 binary64)) y #s(literal 1 binary64))
✓	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 x #s(literal -1 binary64))
✓	accuracy	100.0%	(fma.f64 (+.f64 x #s(literal -1 binary64)) y #s(literal 1 binary64))

Rules

384×	`accelerator-lowering-fma.f32`
384×	`accelerator-lowering-fma.f64`
160×	`-lowering-.f32`
160×	`-lowering-.f64`
120×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	22	25
2	33	25
3	51	25
4	81	25
5	131	25
6	242	25
7	370	25
8	439	25
9	458	25
10	459	25
0	459	24

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

Results

36.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 38 to 22 computations (42.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 8.0ms (36.8% of total)

ival-add: 7.0ms (32.2% of total)

<compiled-spec>: 4.0ms (18.4% of total)

const: 1.0ms (4.6% of total)

ival-sub: 1.0ms (4.6% of total)

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

series7.0ms (0.1%)

Counts

5 → 96

Calls

Call 1

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

Outputs
#<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 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>
#<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)))>
#<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))))>

Calls

24 calls:

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

rewrite644.0ms (5.4%)

Algorithm

1×	batch-egg-rewrite

Rules

6724×	`accelerator-lowering-fma.f32`
6724×	`accelerator-lowering-fma.f64`
4242×	`-lowering-.f32`
4242×	`-lowering-.f64`
3272×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	57	21
2	425	21
3	4474	21
0	9307	20

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 412

Calls

Call 1

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

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

simplify435.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

6738×	`accelerator-lowering-fma.f32`
6738×	`accelerator-lowering-fma.f64`
2422×	`-lowering-.f32`
2422×	`-lowering-.f64`
1076×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	403
1	134	393
2	392	393
3	791	393
4	2287	393
5	4451	393
6	6398	393
7	7297	393
8	7702	393
9	7970	393
0	8010	375

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

Inputs
(+ 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)))))
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
(- 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)))
(* 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))))

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

eval142.0ms (1.2%)

Compiler: Compiled 12302 to 7039 computations (42.8% saved)

prune80.0ms (0.7%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	592	3	595
Fresh	1	1	2
Picked	1	4	5
Done	0	0	0
Total	594	8	602

Accuracy

100.0%

Counts

602 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.1%	(-.f64 (*.f64 x y) y)
✓	63.8%	(-.f64 #s(literal 1 binary64) y)
▶	24.3%	(-.f64 #s(literal 0 binary64) y)
▶	77.0%	(+.f64 #s(literal 1 binary64) (*.f64 y x))
✓	60.1%	(*.f64 y (+.f64 x #s(literal -1 binary64)))
▶	60.0%	(.f64 y (.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))))))
✓	38.0%	(*.f64 y x)
✓	41.4%	#s(literal 1 binary64)

Compiler

Compiled 56 to 41 computations (26.8% saved)

localize1.3s (11.1%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(-.f64 (*.f64 x y) y)
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) y)
✓	cost-diff	0	(*.f64 y x)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (*.f64 y x))
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	128	(*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
✓	cost-diff	640	(.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)))))
✓	cost-diff	640	(.f64 y (.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))))))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(-.f64 (*.f64 x y) y)
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) y)
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 y x))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
✓	accuracy	100.0%	(.f64 y (.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))))))
✓	accuracy	100.0%	(.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)))))
✓	accuracy	99.8%	(*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))

Rules

20006×	`accelerator-lowering-fma.f32`
20006×	`accelerator-lowering-fma.f64`
3014×	`--lowering--.f32`
3014×	`--lowering--.f64`
2452×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	91
1	34	81
2	104	49
3	414	49
4	1750	49
5	5214	49
0	8348	48

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

Results

70.0ms	254×	0	valid
3.0ms	2×	5	exit

Compiler

Compiled 81 to 50 computations (38.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-add: 20.0ms (41.5% of total)

ival-mult: 14.0ms (29% of total)

ival-div: 8.0ms (16.6% of total)

const: 3.0ms (6.2% of total)

ival-sub: 3.0ms (6.2% of total)

backward-pass: 1.0ms (2.1% of total)

series12.0ms (0.1%)

Counts

10 → 180

Calls

Call 1

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

Outputs
#<alt -1>
#<alt (- (* 2 x) 1)>
#<alt (- (* x (+ 2 (* -2 x))) 1)>
#<alt (- (* x (+ 2 (* x (- (* 2 x) 2)))) 1)>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 x)))>
#<alt (- (+ 1 (/ 2 (pow x 2))) (* 2 (/ 1 x)))>
#<alt (- (+ 1 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 x)))>
#<alt (+ 1 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))>
#<alt (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) 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)))>
#<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 (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- x 1)))>
#<alt (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))>
#<alt (/ 1 x)>
#<alt (/ (- 1 (/ 1 x)) x)>
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)>
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (/ 1 x) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))>
#<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 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<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 (* 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 (* 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 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>

Calls

45 calls:

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

rewrite854.0ms (7.1%)

Algorithm

1×	batch-egg-rewrite

Rules

10346×	`accelerator-lowering-fma.f32`
10346×	`accelerator-lowering-fma.f64`
4864×	`-lowering-.f32`
4864×	`-lowering-.f64`
4492×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	65
1	101	41
2	825	41
0	9196	40

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 1910

Calls

Call 1

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

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

simplify495.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

9502×	`accelerator-lowering-fma.f32`
9502×	`accelerator-lowering-fma.f64`
2288×	`-lowering-.f32`
2288×	`-lowering-.f64`
2130×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	762
1	291	752
2	657	740
3	1637	734
4	4249	734
5	7372	734
0	8056	708

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

Inputs
-1
(- (* 2 x) 1)
(- (* x (+ 2 (* -2 x))) 1)
(- (* x (+ 2 (* x (- (* 2 x) 2)))) 1)
1
(- 1 (* 2 (/ 1 x)))
(- (+ 1 (/ 2 (pow x 2))) (* 2 (/ 1 x)))
(- (+ 1 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))))
1
(- 1 (* 2 (/ 1 x)))
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) 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)))
(* 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
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(/ 1 x)
(/ (- 1 (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(/ 1 x)
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
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 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -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))))
(* 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))))
(* 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 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))

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

eval821.0ms (6.8%)

Compiler: Compiled 51271 to 28379 computations (44.6% saved)

prune429.0ms (3.6%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	2226	2	2228
Fresh	0	0	0
Picked	2	2	4
Done	0	4	4
Total	2228	8	2236

Accuracy

100.0%

Counts

2236 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	60.1%	(-.f64 (*.f64 x y) y)
✓	63.8%	(-.f64 #s(literal 1 binary64) y)
✓	77.0%	(+.f64 #s(literal 1 binary64) (*.f64 y x))
✓	60.1%	(*.f64 y (+.f64 x #s(literal -1 binary64)))
▶	38.0%	(.f64 y (.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))))
✓	38.0%	(*.f64 y x)
▶	24.3%	(neg.f64 y)
✓	41.4%	#s(literal 1 binary64)

Compiler

Compiled 53 to 38 computations (28.3% saved)

localize537.0ms (4.5%)

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	128	(*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	384	(.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)))
✓	cost-diff	384	(.f64 y (.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))))
✓	cost-diff	-64	(neg.f64 y)
✓	accuracy	100.0%	(+.f64 x #s(literal -1 binary64))
✓	accuracy	100.0%	(.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	99.9%	(*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.8%	(.f64 y (.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))))
✓	accuracy	100.0%	(neg.f64 y)

Rules

7740×	`accelerator-lowering-fma.f32`
7740×	`accelerator-lowering-fma.f64`
2028×	`-lowering-.f32`
2028×	`-lowering-.f64`
1232×	`div-sub`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	11	46
1	26	40
2	90	40
3	413	38
4	1084	32
5	3703	32
6	5677	32
0	8168	32

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

Results

53.0ms

256×

valid

Compiler

Compiled 50 to 34 computations (32% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 13.0ms (37.3% of total)

ival-add: 10.0ms (28.7% of total)

ival-div: 8.0ms (22.9% of total)

const: 2.0ms (5.7% of total)

ival-neg: 1.0ms (2.9% of total)

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

series12.0ms (0.1%)

Counts

6 → 84

Calls

Call 1

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

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

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(* y (* (+ x 1) (* (+ x -1) (/ 1 x))))
1.0ms	y	@	0	(* y (* (+ x 1) (* (+ x -1) (/ 1 x))))
1.0ms	x	@	inf	(* y (* (+ x 1) (* (+ x -1) (/ 1 x))))
0.0ms	x	@	-inf	(* y (* (+ x 1) (* (+ x -1) (/ 1 x))))
0.0ms	y	@	-inf	(* y (* (+ x 1) (* (+ x -1) (/ 1 x))))

rewrite383.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3342×	`accelerator-lowering-fma.f32`
3342×	`accelerator-lowering-fma.f64`
2700×	`-lowering-.f32`
2700×	`-lowering-.f64`
2628×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	33
1	56	29
2	451	29
0	5205	27

Stop Event

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

Counts

6 → 846

Calls

Call 1

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

Outputs
(+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y))
(-.f64 #s(literal 0 binary64) y)
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 y y)) (/.f64 (.f64 y (.f64 y y)) (.f64 y y)))
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 y y) y))
(fma.f64 y #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(neg.f64 y)
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (-.f64 #s(literal 0 binary64) (.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y y))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (*.f64 y y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) y)
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) y)) (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)))
(*.f64 y #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) y)
(.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 y y)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) y))
(+.f64 (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 y x)))
(+.f64 (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
(+.f64 (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (.f64 y (-.f64 x #s(literal 1 binary64))))
(+.f64 (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (.f64 (-.f64 x #s(literal 1 binary64)) y))
(+.f64 (.f64 (.f64 y (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 y (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 y x)) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (.f64 (.f64 y (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (.f64 (.f64 y (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)))
(+.f64 (.f64 (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) x) (.f64 (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (.f64 (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) x))
(+.f64 (.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) x) (.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) x))
(+.f64 (.f64 (.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 y (+.f64 x #s(literal 1 binary64)))) (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 y (+.f64 x #s(literal 1 binary64)))))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 y (+.f64 x #s(literal 1 binary64)))) (.f64 #s(literal 1 binary64) (.f64 y (+.f64 x #s(literal 1 binary64)))))
(+.f64 (.f64 x (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
(+.f64 (.f64 y (-.f64 x #s(literal 1 binary64))) (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (.f64 (-.f64 x #s(literal 1 binary64)) y) (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 y (-.f64 x #s(literal 1 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 y x)))
(fma.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 x (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
(fma.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 x #s(literal 1 binary64))))
(fma.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) y))
(fma.f64 x (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal 1 binary64) (.f64 y (+.f64 x #s(literal 1 binary64))) (.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 y (+.f64 x #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 y x)))
(fma.f64 #s(literal 1 binary64) (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1 binary64) (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal 1 binary64) (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (.f64 y (-.f64 x #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (.f64 (-.f64 x #s(literal 1 binary64)) y))
(fma.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 y x) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 y x)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 y x) (.f64 (.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 y x) (.f64 x (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 y x) (*.f64 y (-.f64 x #s(literal 1 binary64))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 y x) (*.f64 (-.f64 x #s(literal 1 binary64)) y))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (-.f64 x #s(literal 1 binary64)) y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 y x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (-.f64 x #s(literal 1 binary64)) y) (.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (-.f64 x #s(literal 1 binary64)) y) (.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (-.f64 x #s(literal 1 binary64)) y) (.f64 y (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (-.f64 x #s(literal 1 binary64)) y) (.f64 (-.f64 x #s(literal 1 binary64)) y))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) y (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 y x)))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) y (.f64 (.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) y (.f64 x (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) y (*.f64 y (-.f64 x #s(literal 1 binary64))))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) y (*.f64 (-.f64 x #s(literal 1 binary64)) y))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 y x) (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 (.f64 y (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64) (.f64 (*.f64 y (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)))
(fma.f64 (.f64 y (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x) (.f64 (*.f64 y (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 (.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (.f64 y (+.f64 x #s(literal 1 binary64))) (.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal 1 binary64)))))
(fma.f64 (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) x (.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(fma.f64 (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64) (.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) x))
(fma.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) x (.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))
(fma.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64) (.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) x))
(fma.f64 (/.f64 y x) (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 y x)))
(fma.f64 (/.f64 y x) (-.f64 x #s(literal 1 binary64)) (.f64 (.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 y x) (-.f64 x #s(literal 1 binary64)) (.f64 x (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 y x) (-.f64 x #s(literal 1 binary64)) (*.f64 y (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 y x) (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) y))
(fma.f64 (.f64 y (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 y x)))
(fma.f64 (.f64 y (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x) (.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 (.f64 y (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x) (.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
(fma.f64 (.f64 y (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x) (.f64 y (-.f64 x #s(literal 1 binary64))))
(fma.f64 (.f64 y (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x) (.f64 (-.f64 x #s(literal 1 binary64)) y))
(neg.f64 (.f64 (.f64 y (-.f64 (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (.f64 y (-.f64 (.f64 x x) #s(literal 1 binary64)))))
(/.f64 (*.f64 y (+.f64 x #s(literal 1 binary64))) (/.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 (/.f64 (.f64 y (-.f64 (.f64 x x) #s(literal 1 binary64))) x) #s(literal 1 binary64))
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 y (-.f64 (.f64 x x) #s(literal 1 binary64))) x)
(/.f64 (neg.f64 (.f64 y (-.f64 (.f64 x x) #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (.f64 (.f64 y (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 y (+.f64 x #s(literal 1 binary64)))) (/.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 y (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (.f64 (.f64 y (+.f64 x #s(literal 1 binary64))) (-.f64 (.f64 x x) #s(literal 1 binary64))) (.f64 x (+.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (+.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 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 x x) #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 y (-.f64 (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (+.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 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 x x) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (.f64 y (.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64))))))
(/.f64 (.f64 y (.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (.f64 x x) #s(literal 1 binary64)))) (.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 y (+.f64 x #s(literal 1 binary64))) (+.f64 (neg.f64 (.f64 x x)) #s(literal 1 binary64))) (.f64 x (-.f64 #s(literal -1 binary64) x)))
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simplify536.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

12486×	`accelerator-lowering-fma.f32`
12486×	`accelerator-lowering-fma.f64`
3000×	`-lowering-.f32`
3000×	`-lowering-.f64`
2254×	`--lowering--.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	443
1	116	341
2	297	341
3	899	341
4	3075	341
5	6878	341
0	8183	341

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

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

eval249.0ms (2.1%)

Compiler: Compiled 19282 to 12003 computations (37.8% saved)

prune217.0ms (1.8%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	929	1	930
Fresh	0	0	0
Picked	1	1	2
Done	0	6	6
Total	930	8	938

Accuracy

100.0%

Counts

938 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	60.1%	(-.f64 (*.f64 x y) y)
✓	63.8%	(-.f64 #s(literal 1 binary64) y)
✓	77.0%	(+.f64 #s(literal 1 binary64) (*.f64 y x))
✓	60.1%	(*.f64 y (+.f64 x #s(literal -1 binary64)))
	37.5%	(.f64 y (.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (/.f64 #s(literal 1 binary64) x))))
✓	38.0%	(*.f64 y x)
✓	24.3%	(neg.f64 y)
✓	41.4%	#s(literal 1 binary64)

Compiler

Compiled 148 to 97 computations (34.5% saved)

regimes18.0ms (0.1%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	y
5.0ms	x
4.0ms	(-.f64 #s(literal 1 binary64) 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 16 computations (27.3% saved)

regimes16.0ms (0.1%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	x
4.0ms	y
3.0ms	(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))
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 16 computations (27.3% saved)

regimes21.0ms (0.2%)

Counts

8 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(neg.f64 y)
(*.f64 y x)
(-.f64 #s(literal 0 binary64) y)
(-.f64 #s(literal 1 binary64) y)
(*.f64 y (+.f64 x #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 y x))
(-.f64 (*.f64 x y) y)

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:

8.0ms	x
7.0ms	y
4.0ms	(-.f64 #s(literal 1 binary64) y)

Results

Accuracy	Segments	Branch
99.0%	3	`x`
98.8%	3	`y`
98.8%	3	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes17.0ms (0.1%)

Counts

6 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(neg.f64 y)
(*.f64 y x)
(-.f64 #s(literal 0 binary64) y)
(-.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 (+.f64 x #s(literal -1 binary64)))

Calls

3 calls:

6.0ms	y
6.0ms	x
4.0ms	(-.f64 #s(literal 1 binary64) y)

Results

Accuracy	Segments	Branch
90.7%	5	`y`
87.0%	3	`(-.f64 #s(literal 1 binary64) y)`
89.5%	3	`x`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes6.0ms (0.1%)

Counts

5 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(neg.f64 y)
(*.f64 y x)
(-.f64 #s(literal 0 binary64) y)
(-.f64 #s(literal 1 binary64) y)

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
89.5%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes15.0ms (0.1%)

Counts

4 → 7

Calls

Call 1

Inputs
#s(literal 1 binary64)
(neg.f64 y)
(*.f64 y x)
(-.f64 #s(literal 0 binary64) y)

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

Calls

2 calls:

7.0ms	y
7.0ms	x

Results

Accuracy	Segments	Branch
73.1%	7	`y`
73.0%	7	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(neg.f64 y)

Outputs
(neg.f64 y)
#s(literal 1 binary64)
(neg.f64 y)

Calls

2 calls:

4.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
47.0%	5	`x`
62.6%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes1.0ms (0%)

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

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
41.4%	1	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

bsearch21.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	2.5875652865143327e-25	5.644725808865784e-25
11.0ms	-1589.3057279608686	-0.613081725488226

Results

11.0ms

208×

valid

Compiler

Compiled 198 to 155 computations (21.7% saved)

Precisions

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

ival-sub: 2.0ms (37.4% of total)

ival-mult: 2.0ms (37.4% of total)

ival-add: 1.0ms (18.7% of total)

const: 0.0ms (0% of total)

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

bsearch43.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	3.2059163422948146e+102	1.3711159220062524e+106
22.0ms	-4.433420845414632e+30	-17459657486198264.0

Results

21.0ms	150×	1	valid
7.0ms	138×	0	valid

Compiler

Compiled 248 to 190 computations (23.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-sub: 5.0ms (32.6% of total)

ival-mult: 4.0ms (26.1% of total)

ival-add: 3.0ms (19.6% of total)

backward-pass: 3.0ms (19.6% of total)

const: 1.0ms (6.5% of total)

bsearch43.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	3.2059163422948146e+102	1.3711159220062524e+106
22.0ms	-4.433420845414632e+30	-17459657486198264.0

Results

22.0ms	160×	1	valid
7.0ms	128×	0	valid

Compiler

Compiled 232 to 174 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-sub: 6.0ms (35.8% of total)

ival-mult: 4.0ms (23.9% of total)

backward-pass: 3.0ms (17.9% of total)

ival-add: 2.0ms (11.9% of total)

const: 1.0ms (6% of total)

bsearch88.0ms (0.7%)

Algorithm

6×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.0780822955767275e-35	3.283045904749532e-31
17.0ms	-5.30112312044273e-147	-4.8257287761218245e-154
15.0ms	-5.49515315343388e-92	-3.2493376864590652e-93
10.0ms	-1357976.1363440345	-7953.751611068106
11.0ms	-2.1197753795439104e+195	-1.9998957381310937e+192
11.0ms	-1.2423984546999864e+290	-2.6566810350973814e+288

Results

33.0ms	562×	0	valid
23.0ms	174×	1	valid

Compiler

Compiled 484 to 380 computations (21.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-sub: 12.0ms (41.5% of total)

ival-mult: 7.0ms (24.2% of total)

ival-add: 5.0ms (17.3% of total)

backward-pass: 4.0ms (13.8% of total)

const: 1.0ms (3.5% of total)

bsearch27.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	4.063488910772451e-18	0.0009139651636407531
11.0ms	-1357976.1363440345	-7953.751611068106

Results

15.0ms

272×

valid

Compiler

Compiled 169 to 148 computations (12.4% saved)

Precisions

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

ival-sub: 3.0ms (43.3% of total)

ival-mult: 2.0ms (28.9% of total)

ival-add: 1.0ms (14.4% of total)

const: 0.0ms (0% of total)

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

soundness2.0ms (0%)

Stop Event

1×

fuel

Compiler

Compiled 125 to 72 computations (42.4% saved)

preprocess60.0ms (0.5%)

Compiler: Compiled 290 to 172 computations (40.7% saved)

Iter	Nodes	Cost
0	7	19
1	18	19
2	30	19
3	39	19
4	53	19
5	84	19
6	137	19
7	262	19
8	383	19
9	469	19
10	484	19
11	488	19
0	488	18

Iter	Nodes	Cost
0	10	25
1	22	25
2	33	25
3	51	25
4	81	25
5	131	25
6	242	25
7	370	25
8	439	25
9	458	25
10	459	25
0	459	24

Iter	Nodes	Cost
0	7	19
1	18	19
2	30	19
3	39	19
4	53	19
5	84	19
6	137	19
7	262	19
8	383	19
9	469	19
10	484	19
11	488	19
0	488	18

Iter	Nodes	Cost
0	10	25
1	22	25
2	33	25
3	51	25
4	81	25
5	131	25
6	242	25
7	370	25
8	439	25
9	458	25
10	459	25
0	459	24

analyze0.0ms (0%)

sample1.1s (9.2%)

preprocess1.4s (11.3%)

explain120.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize75.0ms (0.6%)

series17.0ms (0.1%)

rewrite822.0ms (6.9%)

simplify380.0ms (3.2%)

eval375.0ms (3.1%)

prune72.0ms (0.6%)

localize100.0ms (0.8%)

series7.0ms (0.1%)

rewrite644.0ms (5.4%)

simplify435.0ms (3.6%)

eval142.0ms (1.2%)

prune80.0ms (0.7%)

localize1.3s (11.1%)

series12.0ms (0.1%)

rewrite854.0ms (7.1%)

simplify495.0ms (4.1%)

eval821.0ms (6.8%)

prune429.0ms (3.6%)

localize537.0ms (4.5%)

series12.0ms (0.1%)

rewrite383.0ms (3.2%)

simplify536.0ms (4.5%)

eval249.0ms (2.1%)

prune217.0ms (1.8%)

regimes18.0ms (0.1%)

regimes16.0ms (0.1%)

regimes21.0ms (0.2%)

regimes17.0ms (0.1%)

regimes6.0ms (0.1%)

regimes15.0ms (0.1%)

regimes7.0ms (0.1%)

regimes1.0ms (0%)

bsearch21.0ms (0.2%)

bsearch43.0ms (0.4%)

bsearch43.0ms (0.4%)

bsearch88.0ms (0.7%)

bsearch27.0ms (0.2%)

soundness2.0ms (0%)

preprocess60.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	19
1	18	19
2	30	19
3	39	19
4	53	19
5	84	19
6	137	19
7	262	19
8	383	19
9	469	19
10	484	19
11	488	19
0	488	18

Iter	Nodes	Cost
0	10	25
1	22	25
2	33	25
3	51	25
4	81	25
5	131	25
6	242	25
7	370	25
8	439	25
9	458	25
10	459	25
0	459	24