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

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

Precisions

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

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

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

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

const: 0.0ms (0% of total)

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

sample969.0ms (15.8%)

Results

423.0ms	6315×	0	valid
272.0ms	1787×	1	valid
31.0ms	154×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 370.0ms

ival-sub: 161.0ms (43.5% of total)

ival-mult: 80.0ms (21.6% of total)

ival-add: 74.0ms (20% of total)

backward-pass: 42.0ms (11.3% of total)

const: 13.0ms (3.5% of total)

Bogosity

preprocess204.0ms (3.3%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Call 2

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

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

explain133.0ms (2.2%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
59	4	(-1358.1886372466022 9.877832556101516e-265)	-	`(+.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

51.0ms	112×	1	valid
44.0ms	390×	0	valid
10.0ms	10×	2	valid

Compiler

Compiled 67 to 23 computations (65.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-sub: 7.0ms (33.3% of total)

ival-mult: 5.0ms (23.8% of total)

ival-add: 5.0ms (23.8% of total)

backward-pass: 3.0ms (14.3% of total)

const: 1.0ms (4.8% of total)

eval0.0ms (0%)

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

prune2.0ms (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)

simplify50.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize66.0ms (1.1%)

Localize:

Found 3 expressions of interest:

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

Results

58.0ms	255×	0	valid
0.0ms	1×	2	valid

Compiler

Compiled 22 to 8 computations (63.6% saved)

Precisions

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

ival-add: 3.0ms (53.9% of total)

ival-mult: 2.0ms (35.9% of total)

const: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Counts

3 → 60

Calls

Call 1

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

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

Calls

15 calls:

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

rewrite309.0ms (5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	43	14
2	364	14
3	4096	13
0	8143	13

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 202

Calls

Call 1

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

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

simplify159.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	290
1	131	271
2	410	248
3	1040	248
4	3466	248
5	6552	248
0	8126	248

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

eval43.0ms (0.7%)

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

prune68.0ms (1.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	255	7	262
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	256	7	263

Accuracy

100.0%

Counts

263 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) y)
▶	62.0%	(-.f64 #s(literal 1 binary64) y)
	73.3%	(+.f64 #s(literal 1 binary64) (*.f64 y x))
	65.7%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 y (+.f64 x #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y (+.f64 x #s(literal -1 binary64))) (*.f64 y (+.f64 x #s(literal -1 binary64))))))
▶	65.4%	(*.f64 y (+.f64 x #s(literal -1 binary64)))
▶	39.7%	(*.f64 y x)
▶	35.9%	#s(literal 1 binary64)

Compiler

Compiled 122 to 74 computations (39.3% saved)

simplify53.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	26	37
2	46	37
3	72	37
4	120	37
5	234	37
6	510	37
7	1181	37
8	2303	37
9	2595	37
10	2696	37
11	2699	37
0	2699	37

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize82.0ms (1.3%)

Localize:

Found 7 expressions of interest:

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

Results

68.0ms	255×	0	valid
1.0ms	1×	2	valid

Compiler

Compiled 43 to 11 computations (74.4% saved)

Precisions

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

ival-mult: 4.0ms (40.6% of total)

ival-add: 3.0ms (30.5% of total)

ival-sub: 2.0ms (20.3% of total)

const: 1.0ms (10.2% of total)

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

series5.0ms (0.1%)

Counts

6 → 120

Calls

Call 1

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

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

Calls

30 calls:

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

rewrite288.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3996×	`-lowering-.f32`
3996×	`-lowering-.f64`
3328×	`/-lowering-/.f32`
3328×	`/-lowering-/.f64`
1686×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	71	23
2	609	23
0	8077	23

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 342

Calls

Call 1

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

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

simplify156.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

2048×	`sum5-define`
1304×	`sum3-define`
1214×	`-lowering-.f32`
1214×	`-lowering-.f64`
1096×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	59	497
1	190	438
2	525	438
3	1444	438
4	4238	438
5	7109	438
0	8006	438

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

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

eval80.0ms (1.3%)

Compiler: Compiled 10862 to 998 computations (90.8% saved)

prune48.0ms (0.8%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	488	2	490
Fresh	1	1	2
Picked	1	4	5
Done	0	0	0
Total	490	7	497

Accuracy

100.0%

Counts

497 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) y)
▶	65.4%	(-.f64 (*.f64 y x) y)
✓	62.0%	(-.f64 #s(literal 1 binary64) y)
▶	73.3%	(+.f64 #s(literal 1 binary64) (*.f64 y x))
▶	54.9%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (.f64 y y)))
✓	39.7%	(*.f64 y x)
✓	35.9%	#s(literal 1 binary64)

Compiler

Compiled 49 to 33 computations (32.7% saved)

simplify154.0ms (2.5%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y x)
✓	cost-diff	0	(-.f64 (*.f64 y x) y)
✓	cost-diff	0	(*.f64 y x)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (*.f64 y x))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 y y))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))
✓	cost-diff	512	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (.f64 y y)))

Rules

2006×	`sum3-define`
1820×	`fma-define`
1636×	`-lowering-.f32`
1636×	`-lowering-.f64`
988×	`--lowering--.f32`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	29	42
2	56	42
3	127	42
4	270	42
5	457	42
6	877	37
7	2036	37
8	6265	37
0	8184	37

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize62.0ms (1%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	100.0%	(-.f64 (*.f64 y x) y)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 y x))
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (*.f64 y y))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	80.0%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (.f64 y y)))

Results

46.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 53 to 12 computations (77.4% saved)

Precisions

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

ival-mult: 5.0ms (33.6% of total)

ival-add: 4.0ms (26.9% of total)

ival-div: 2.0ms (13.4% of total)

ival-sub: 2.0ms (13.4% of total)

const: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Counts

8 → 132

Calls

Call 1

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

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

Calls

33 calls:

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

rewrite364.0ms (5.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3854×	`-lowering-.f32`
3854×	`-lowering-.f64`
3310×	`/-lowering-/.f32`
3310×	`/-lowering-/.f64`
1540×	`sum5-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	78	27
2	644	27
3	7801	27
0	8685	27

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 552

Calls

Call 1

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

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

simplify207.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

3930×	`-lowering-.f32`
3930×	`-lowering-.f64`
1936×	`sum5-define`
1112×	`times-frac`
1026×	`/-lowering-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	74	552
1	230	464
2	560	462
3	1484	459
4	5403	457
0	8127	457

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

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

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

eval86.0ms (1.4%)

Compiler: Compiled 17385 to 1634 computations (90.6% saved)

prune81.0ms (1.3%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	711	1	712
Fresh	0	0	0
Picked	1	2	3
Done	0	4	4
Total	712	7	719

Accuracy

100.0%

Counts

719 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) y)
✓	65.4%	(-.f64 (*.f64 y x) y)
✓	62.0%	(-.f64 #s(literal 1 binary64) y)
✓	73.3%	(+.f64 #s(literal 1 binary64) (*.f64 y x))
▶	21.1%	(.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (.f64 y y)))
✓	39.7%	(*.f64 y x)
✓	35.9%	#s(literal 1 binary64)

Compiler

Compiled 47 to 32 computations (31.9% saved)

simplify200.0ms (3.3%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 y y))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	256	(.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (.f64 y y)))

Rules

3214×	`-lowering-.f32`
3214×	`-lowering-.f64`
1082×	`--lowering--.f32`
1082×	`--lowering--.f64`
1056×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	18	16
2	40	16
3	102	14
4	221	14
5	464	14
6	1962	14
7	4660	14
8	7708	14
0	8111	14

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize44.0ms (0.7%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (*.f64 y y))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	80.0%	(.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (.f64 y y)))

Results

34.0ms

256×

valid

Compiler

Compiled 25 to 8 computations (68% saved)

Precisions

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

ival-mult: 4.0ms (42.2% of total)

ival-sub: 3.0ms (31.7% of total)

ival-div: 2.0ms (21.1% of total)

const: 0.0ms (0% of total)

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

series1.0ms (0%)

Counts

4 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite351.0ms (5.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3372×	`-lowering-.f32`
3372×	`-lowering-.f64`
2596×	`/-lowering-/.f32`
2596×	`/-lowering-/.f64`
1316×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	40	14
2	276	14
3	2385	12
0	9994	12

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 310

Calls

Call 1

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

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

simplify149.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1774×	`fmsub-define`
1726×	`fnmsub-define`
1570×	`fmm-def`
1508×	`fma-lowering-fma.f32`
1508×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	201
1	37	151
2	85	151
3	209	133
4	514	133
5	1798	133
6	5689	133
0	8358	133

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

eval44.0ms (0.7%)

Compiler: Compiled 8617 to 834 computations (90.3% saved)

prune52.0ms (0.9%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	358	0	358
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	358	7	365

Accuracy

100.0%

Counts

365 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) y)
✓	65.4%	(-.f64 (*.f64 y x) y)
✓	62.0%	(-.f64 #s(literal 1 binary64) y)
✓	73.3%	(+.f64 #s(literal 1 binary64) (*.f64 y x))
✓	21.1%	(.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (.f64 y y)))
✓	39.7%	(*.f64 y x)
✓	35.9%	#s(literal 1 binary64)

Compiler

Compiled 137 to 59 computations (56.9% saved)

regimes16.0ms (0.3%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes12.0ms (0.2%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	(-.f64 #s(literal 1 binary64) y)
3.0ms	y
3.0ms	x

Results

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes8.0ms (0.1%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.0%	3	`x`
98.7%	3	`y`
98.7%	3	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes13.0ms (0.2%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	(-.f64 #s(literal 1 binary64) y)
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
85.9%	3	`y`
84.7%	3	`(-.f64 #s(literal 1 binary64) y)`
90.6%	3	`x`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes2.0ms (0%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
90.6%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
60.3%	3	`y`
64.4%	3	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (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

2 calls:

1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
35.9%	1	`y`
35.9%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch45.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	7.479150510854698e-19	1.3006196055838482e-8
27.0ms	-1642026747770043400.0	-1358.1886372466022

Results

18.0ms	311×	0	valid
1.0ms	9×	1	valid

Compiler

Compiled 296 to 231 computations (22% saved)

Precisions

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

ival-sub: 3.0ms (36.6% of total)

ival-add: 2.0ms (24.4% of total)

ival-mult: 2.0ms (24.4% of total)

const: 0.0ms (0% of total)

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

bsearch46.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.09202542499932496	157.78635160028125
30.0ms	-1.1154593554323306e+108	-1.1064930850737838e+93

Results

15.0ms	81×	1	valid
12.0ms	207×	0	valid

Compiler

Compiled 248 to 189 computations (23.8% saved)

Precisions

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

ival-add: 7.0ms (45.2% of total)

ival-sub: 4.0ms (25.9% of total)

ival-mult: 3.0ms (19.4% of total)

backward-pass: 1.0ms (6.5% of total)

const: 0.0ms (0% of total)

bsearch40.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	7827453624187456.0	17510374366909446000.0
19.0ms	-1.1154593554323306e+108	-1.1064930850737838e+93

Results

16.0ms	125×	1	valid
11.0ms	163×	0	valid

Compiler

Compiled 232 to 173 computations (25.4% saved)

Precisions

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

ival-sub: 5.0ms (40.7% of total)

ival-mult: 3.0ms (24.4% of total)

ival-add: 2.0ms (16.3% of total)

backward-pass: 2.0ms (16.3% of total)

const: 0.0ms (0% of total)

bsearch47.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	9.336664877362543e+19	1.0029874695741837e+27
25.0ms	-1.1154593554323306e+108	-1.1064930850737838e+93

Results

24.0ms	143×	1	valid
9.0ms	161×	0	valid

Compiler

Compiled 206 to 163 computations (20.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-sub: 9.0ms (50.8% of total)

ival-mult: 3.0ms (16.9% of total)

backward-pass: 3.0ms (16.9% of total)

ival-add: 2.0ms (11.3% of total)

const: 1.0ms (5.6% of total)

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	79
1	55	79
2	59	79
3	61	79
4	62	79

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) y)
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1 binary64))))
(if (<=.f64 x #s(literal -1400 binary64)) (+.f64 #s(literal 1 binary64) (.f64 y x)) (if (<=.f64 x #s(literal 3929008913747545/302231454903657293676544 binary64)) (-.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (.f64 y x))))
(if (<=.f64 x #s(literal -3400000000000000031690720476389037225616012296148685806822046218102233124367331769287371128832 binary64)) (.f64 y x) (if (<=.f64 x #s(literal 5404319552844595/562949953421312 binary64)) (-.f64 #s(literal 1 binary64) y) (.f64 y (+.f64 x #s(literal -1 binary64)))))
(if (<=.f64 x #s(literal -1550000000000000096182832619988787269492700905847482896594745539881122069843401723937334231040 binary64)) (.f64 y x) (if (<=.f64 x #s(literal 22000000000000000 binary64)) (-.f64 #s(literal 1 binary64) y) (.f64 y x)))
(if (<=.f64 x #s(literal -6499999999999999909101902990866560212488334884212542239117179007322143076729506715638326970286080 binary64)) (.f64 y x) (if (<=.f64 x #s(literal 130000000000000000000 binary64)) #s(literal 1 binary64) (.f64 y x)))
#s(literal 1 binary64)

Outputs
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) y)
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1 binary64))))
(if (<=.f64 x #s(literal -1400 binary64)) (+.f64 #s(literal 1 binary64) (.f64 y x)) (if (<=.f64 x #s(literal 3929008913747545/302231454903657293676544 binary64)) (-.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (.f64 y x))))
(if (<=.f64 x #s(literal -3400000000000000031690720476389037225616012296148685806822046218102233124367331769287371128832 binary64)) (.f64 y x) (if (<=.f64 x #s(literal 5404319552844595/562949953421312 binary64)) (-.f64 #s(literal 1 binary64) y) (.f64 y (+.f64 x #s(literal -1 binary64)))))
(if (<=.f64 x #s(literal -1550000000000000096182832619988787269492700905847482896594745539881122069843401723937334231040 binary64)) (.f64 y x) (if (<=.f64 x #s(literal 22000000000000000 binary64)) (-.f64 #s(literal 1 binary64) y) (.f64 y x)))
(if (<=.f64 x #s(literal -6499999999999999909101902990866560212488334884212542239117179007322143076729506715638326970286080 binary64)) (.f64 y x) (if (<=.f64 x #s(literal 130000000000000000000 binary64)) #s(literal 1 binary64) (.f64 y x)))
#s(literal 1 binary64)

soundness1.3s (21.2%)

Rules

2300×	`-lowering-.f32`
2300×	`-lowering-.f64`
2042×	`sum3-define`
1786×	`-lowering-.f32`
1786×	`-lowering-.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	15	8
2	36	8
3	118	8
4	915	6
5	3648	6
0	8102	6
0	7	15
1	43	14
2	364	14
3	4096	13
0	8143	13
0	41	290
1	131	271
2	410	248
3	1040	248
4	3466	248
5	6552	248
0	8126	248

Stop Event

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

Compiler

Compiled 172 to 102 computations (40.7% saved)

preprocess66.0ms (1.1%)

Compiler: Compiled 218 to 96 computations (56% saved)

analyze0.0ms (0%)

sample969.0ms (15.8%)

preprocess204.0ms (3.3%)

explain133.0ms (2.2%)

eval0.0ms (0%)

prune2.0ms (0%)

simplify50.0ms (0.8%)

localize66.0ms (1.1%)

series3.0ms (0.1%)

rewrite309.0ms (5%)

simplify159.0ms (2.6%)

eval43.0ms (0.7%)

prune68.0ms (1.1%)

simplify53.0ms (0.9%)

localize82.0ms (1.3%)

series5.0ms (0.1%)

rewrite288.0ms (4.7%)

simplify156.0ms (2.5%)

eval80.0ms (1.3%)

prune48.0ms (0.8%)

simplify154.0ms (2.5%)

localize62.0ms (1%)

series3.0ms (0.1%)

rewrite364.0ms (5.9%)

simplify207.0ms (3.4%)

eval86.0ms (1.4%)

prune81.0ms (1.3%)

simplify200.0ms (3.3%)

localize44.0ms (0.7%)

series1.0ms (0%)

rewrite351.0ms (5.7%)

simplify149.0ms (2.4%)

eval44.0ms (0.7%)

prune52.0ms (0.9%)

regimes16.0ms (0.3%)

regimes12.0ms (0.2%)

regimes8.0ms (0.1%)

regimes13.0ms (0.2%)

regimes2.0ms (0%)

regimes3.0ms (0.1%)

regimes3.0ms (0%)

bsearch45.0ms (0.7%)

bsearch46.0ms (0.8%)

bsearch40.0ms (0.6%)

bsearch47.0ms (0.8%)

simplify10.0ms (0.2%)

soundness1.3s (21.2%)

preprocess66.0ms (1.1%)

end0.0ms (0%)

Profiling