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

analyze2.0ms (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)

sample931.0ms (16.2%)

Results

427.0ms	6312×	0	valid
263.0ms	1769×	1	valid
33.0ms	175×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 346.0ms

ival-sub: 155.0ms (44.8% of total)

ival-mult: 76.0ms (22% of total)

ival-add: 59.0ms (17.1% of total)

backward-pass: 43.0ms (12.4% of total)

const: 13.0ms (3.8% of total)

Bogosity

preprocess192.0ms (3.4%)

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)

explain102.0ms (1.8%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
62	2	(-240562851753696.47 7.446950000969369e-175)	-	`(+.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

36.0ms	386×	0	valid
29.0ms	110×	1	valid
7.0ms	16×	2	valid

Compiler

Compiled 67 to 23 computations (65.7% saved)

Precisions

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

ival-sub: 9.0ms (41.4% of total)

ival-mult: 5.0ms (23% of total)

backward-pass: 3.0ms (13.8% of total)

ival-add: 3.0ms (13.8% of total)

const: 1.0ms (4.6% of total)

eval0.0ms (0%)

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

prune6.0ms (0.1%)

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)

simplify57.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize34.0ms (0.6%)

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

24.0ms

256×

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 (53.6% of total)

ival-mult: 2.0ms (35.7% of total)

const: 0.0ms (0% of total)

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

series33.0ms (0.6%)

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
23.0ms	y	@	0	(* y (+ x -1))
7.0ms	x	@	0	(+ x -1)
1.0ms	x	@	-inf	(+ 1 (* y (+ x -1)))
0.0ms	y	@	-inf	(+ 1 (* y (+ x -1)))
0.0ms	y	@	inf	(+ 1 (* y (+ x -1)))

rewrite252.0ms (4.4%)

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)))

simplify158.0ms (2.8%)

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))

eval34.0ms (0.6%)

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

prune44.0ms (0.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

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

Accuracy

100.0%

Counts

263 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) y)
▶	67.8%	(-.f64 #s(literal 1 binary64) y)
	73.9%	(+.f64 #s(literal 1 binary64) (*.f64 y x))
▶	59.4%	(*.f64 y (+.f64 x #s(literal -1 binary64)))
▶	34.3%	(*.f64 y x)
▶	42.0%	#s(literal 1 binary64)

Compiler

Compiled 72 to 52 computations (27.8% saved)

simplify51.0ms (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)

localize99.0ms (1.7%)

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 (+.f64 #s(literal 1 binary64) (*.f64 y x)) y)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 y x))
✓	accuracy	100.0%	(*.f64 y x)

Results

83.0ms

256×

valid

Compiler

Compiled 43 to 11 computations (74.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-add: 18.0ms (70.9% of total)

ival-mult: 4.0ms (15.8% of total)

ival-sub: 2.0ms (7.9% of total)

const: 0.0ms (0% of total)

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

series4.0ms (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
1.0ms	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)

rewrite394.0ms (6.9%)

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)))))))
(-.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))))) (/.f64 (.f64 y 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))))

simplify230.0ms (4%)

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))

eval76.0ms (1.3%)

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

prune50.0ms (0.9%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	488	2	490
Fresh	0	1	1
Picked	0	5	5
Done	0	0	0
Total	488	8	496

Accuracy

100.0%

Counts

496 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) y)
▶	59.4%	(-.f64 (*.f64 y x) y)
✓	67.8%	(-.f64 #s(literal 1 binary64) y)
▶	28.1%	(-.f64 #s(literal 0 binary64) y)
▶	73.9%	(+.f64 #s(literal 1 binary64) (*.f64 y x))
✓	59.4%	(*.f64 y (+.f64 x #s(literal -1 binary64)))
✓	34.3%	(*.f64 y x)
✓	42.0%	#s(literal 1 binary64)

Compiler

Compiled 48 to 34 computations (29.2% saved)

simplify29.0ms (0.5%)

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

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

Rules

282×	`sum3-define`
264×	`fnmadd-define`
262×	`fmsub-define`
248×	`fnmsub-define`
236×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	16	23
2	28	23
3	52	23
4	99	23
5	146	23
6	406	23
7	649	23
8	929	23
9	1082	23
10	1138	23
11	1152	23
0	1152	23

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize114.0ms (2%)

Localize:

Found 5 expressions of interest:

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

Results

33.0ms

256×

valid

Compiler

Compiled 29 to 9 computations (69% saved)

Precisions

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

ival-sub: 2.0ms (29.8% of total)

ival-mult: 2.0ms (29.8% of total)

ival-add: 1.0ms (14.9% of total)

const: 0.0ms (0% of total)

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

series1.0ms (0%)

Counts

4 → 84

Calls

Call 1

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

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

Calls

21 calls:

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

rewrite326.0ms (5.7%)

Algorithm

1×	batch-egg-rewrite

Rules

2802×	`-lowering-.f32`
2802×	`-lowering-.f64`
1992×	`sum3-define`
1698×	`unpow-prod-down`
1230×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	49	13
2	414	13
3	4917	12
0	10254	12

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 265

Calls

Call 1

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

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

simplify153.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	313
1	114	274
2	285	274
3	671	274
4	1726	274
5	5788	274
0	8111	274

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

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

eval47.0ms (0.8%)

Compiler: Compiled 6950 to 648 computations (90.7% saved)

prune76.0ms (1.3%)

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	405	2	407
Fresh	0	0	0
Picked	1	2	3
Done	0	5	5
Total	406	9	415

Accuracy

100.0%

Counts

415 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) y)
✓	59.4%	(-.f64 (*.f64 y x) y)
✓	67.8%	(-.f64 #s(literal 1 binary64) y)
✓	73.9%	(+.f64 #s(literal 1 binary64) (*.f64 y x))
✓	59.4%	(*.f64 y (+.f64 x #s(literal -1 binary64)))
✓	34.3%	(*.f64 y x)
▶	28.1%	(neg.f64 y)
▶	2.6%	y
✓	42.0%	#s(literal 1 binary64)

Compiler

Compiled 50 to 35 computations (30% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(neg.f64 y)

Rules

8×	`sum3-define`
8×	`+-lowering-+.f64`
8×	`+-lowering-+.f32`
6×	`--lowering--.f32`
6×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2	4
1	6	4
2	8	4
3	10	4
4	16	4
5	20	4
6	26	4
7	29	4
0	29	4

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
y
(neg y)
y

Outputs
y
(neg y)
(-.f64 #s(literal 0 binary64) y)
y

localize17.0ms (0.3%)

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f64 y)

Results

13.0ms

256×

valid

Compiler

Compiled 7 to 4 computations (42.9% saved)

Precisions

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

ival-neg: 1.0ms (56.2% of total)

const: 0.0ms (0% of total)

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

series0.0ms (0%)

Counts

1 → 12

Calls

Call 1

Inputs
#<alt (neg y)>

Outputs
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	y	@	inf	(neg y)
0.0ms	y	@	0	(neg y)
0.0ms	y	@	-inf	(neg y)

rewrite106.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

510×	`/-lowering-/.f32`
510×	`/-lowering-/.f64`
434×	`-lowering-.f32`
434×	`-lowering-.f64`
238×	`frac-times`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2	2
1	6	2
2	21	2
3	151	2
0	1670	2

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound

Counts

1 → 56

Calls

Call 1

Inputs
(neg y)

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

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`sum3-define`
8×	`+-lowering-+.f64`
8×	`+-lowering-+.f32`
6×	`--lowering--.f32`
6×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	24
1	5	24
2	7	24
3	8	24
4	10	24
5	16	24
6	20	24
7	26	24
8	29	24
0	29	24

Stop Event

1×	iter limit
1×	saturated

Counts

12 → 12

Calls

Call 1

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

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

eval7.0ms (0.1%)

Compiler: Compiled 800 to 104 computations (87% saved)

prune18.0ms (0.3%)

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	0	0
Picked	0	2	2
Done	0	7	7
Total	68	9	77

Accuracy

100.0%

Counts

77 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) y)
✓	59.4%	(-.f64 (*.f64 y x) y)
✓	67.8%	(-.f64 #s(literal 1 binary64) y)
✓	73.9%	(+.f64 #s(literal 1 binary64) (*.f64 y x))
✓	59.4%	(*.f64 y (+.f64 x #s(literal -1 binary64)))
✓	34.3%	(*.f64 y x)
✓	28.1%	(neg.f64 y)
✓	2.6%	y
✓	42.0%	#s(literal 1 binary64)

Compiler

Compiled 103 to 53 computations (48.5% saved)

regimes18.0ms (0.3%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	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)

regimes11.0ms (0.2%)

Counts

10 → 1

Calls

Call 1

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

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

Results

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes11.0ms (0.2%)

Counts

9 → 3

Calls

Call 1

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

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

Results

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes11.0ms (0.2%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
87.9%	3	`y`
87.2%	3	`(-.f64 #s(literal 1 binary64) y)`
88.8%	3	`x`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes5.0ms (0.1%)

Counts

5 → 4

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
70.8%	4	`y`
66.0%	4	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
66.8%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total -25.5b remaining (-68.8%)

Threshold costs -25.5b (-68.8%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
y

Outputs
#s(literal 1 binary64)

Calls

2 calls:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
42.0%	1	`x`
42.0%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch32.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.6220053225781927e-35	5.819870387258536e-21
14.0ms	-100284.57160570839	-288.39235925188547

Results

20.0ms

288×

valid

Compiler

Compiled 268 to 209 computations (22% saved)

Precisions

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

ival-sub: 3.0ms (42.5% of total)

ival-mult: 2.0ms (28.3% of total)

ival-add: 1.0ms (14.2% 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
22.0ms	3.1899796386971213e-13	5.663138228822309e+22
21.0ms	-1.6597569801719608e+41	-1.4752682395506462e+30

Results

20.0ms	159×	1	valid
12.0ms	177×	0	valid

Compiler

Compiled 268 to 200 computations (25.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-sub: 5.0ms (31.7% of total)

ival-mult: 4.0ms (25.4% of total)

ival-add: 3.0ms (19% of total)

backward-pass: 3.0ms (19% of total)

const: 1.0ms (6.3% of total)

bsearch95.0ms (1.7%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
13.0ms	2.2373120573434406e+98	8.721521348549429e+107
17.0ms	5.125252526246657e-63	1.2314700307269304e-55
35.0ms	-860818904045.3041	-0.07562971790836574

Results

34.0ms	329×	0	valid
11.0ms	89×	1	valid
6.0ms	30×	2	valid

Compiler

Compiled 295 to 235 computations (20.3% saved)

Precisions

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

ival-sub: 7.0ms (40.7% of total)

ival-mult: 4.0ms (23.3% of total)

backward-pass: 3.0ms (17.5% of total)

ival-add: 3.0ms (17.5% of total)

const: 1.0ms (5.8% of total)

bsearch33.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	2.721427397720152e-8	1.8048964839408572e-7
22.0ms	-860818904045.3041	-0.07562971790836574

Results

11.0ms	197×	0	valid
6.0ms	29×	2	valid
4.0ms	30×	1	valid

Compiler

Compiled 160 to 139 computations (13.1% saved)

Precisions

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

ival-sub: 4.0ms (39.9% of total)

ival-mult: 2.0ms (20% of total)

ival-add: 2.0ms (20% of total)

backward-pass: 2.0ms (20% of total)

const: 0.0ms (0% of total)

simplify11.0ms (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	36	79
1	57	79
2	61	79
3	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 -290 binary64)) (+.f64 #s(literal 1 binary64) (.f64 y x)) (if (<=.f64 x #s(literal 15057660889751/2596148429267413814265248164610048 binary64)) (-.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (.f64 y x))))
(if (<=.f64 x #s(literal -819999999999999966900904455443578880 binary64)) (.f64 y x) (if (<=.f64 x #s(literal 1000000000000000 binary64)) (-.f64 #s(literal 1 binary64) y) (.f64 y x)))
(if (<=.f64 y #s(literal -1 binary64)) (neg.f64 y) (if (<=.f64 y #s(literal 8411503360151/215679573337205118357336120696157045389097155380324579848828881993728 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 7500000000000000014367563143010015521619663454488940083646026359495344931529915669709271088311352426496 binary64)) (*.f64 y x) (neg.f64 y))))
(if (<=.f64 y #s(literal -1 binary64)) (neg.f64 y) (if (<=.f64 y #s(literal 6800207735332289/37778931862957161709568 binary64)) #s(literal 1 binary64) (neg.f64 y)))
#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 -290 binary64)) (+.f64 #s(literal 1 binary64) (.f64 y x)) (if (<=.f64 x #s(literal 15057660889751/2596148429267413814265248164610048 binary64)) (-.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (.f64 y x))))
(if (<=.f64 x #s(literal -819999999999999966900904455443578880 binary64)) (.f64 y x) (if (<=.f64 x #s(literal 1000000000000000 binary64)) (-.f64 #s(literal 1 binary64) y) (.f64 y x)))
(if (<=.f64 y #s(literal -1 binary64)) (neg.f64 y) (if (<=.f64 y #s(literal 8411503360151/215679573337205118357336120696157045389097155380324579848828881993728 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 7500000000000000014367563143010015521619663454488940083646026359495344931529915669709271088311352426496 binary64)) (*.f64 y x) (neg.f64 y))))
(if (<=.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y) (if (<=.f64 y #s(literal 8411503360151/215679573337205118357336120696157045389097155380324579848828881993728 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 7500000000000000014367563143010015521619663454488940083646026359495344931529915669709271088311352426496 binary64)) (*.f64 y x) (-.f64 #s(literal 0 binary64) y))))
(if (<=.f64 y #s(literal -1 binary64)) (neg.f64 y) (if (<=.f64 y #s(literal 6800207735332289/37778931862957161709568 binary64)) #s(literal 1 binary64) (neg.f64 y)))
(if (<=.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y) (if (<=.f64 y #s(literal 6800207735332289/37778931862957161709568 binary64)) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))
#s(literal 1 binary64)

soundness1.7s (30.3%)

Rules

2802×	`-lowering-.f32`
2802×	`-lowering-.f64`
2300×	`-lowering-.f32`
2300×	`-lowering-.f64`
2048×	`sum5-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	43	14
2	364	14
3	4096	13
0	8143	13
0	59	497
1	190	438
2	525	438
3	1444	438
4	4238	438
5	7109	438
0	8006	438
0	7	9
1	15	8
2	36	8
3	118	8
4	915	6
5	3648	6
0	8102	6
0	41	290
1	131	271
2	410	248
3	1040	248
4	3466	248
5	6552	248
0	8126	248
0	8	14
1	49	13
2	414	13
3	4917	12
0	10254	12

Stop Event

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

Compiler

Compiled 189 to 117 computations (38.1% saved)

preprocess64.0ms (1.1%)

Compiler: Compiled 224 to 100 computations (55.4% saved)

analyze2.0ms (0%)

sample931.0ms (16.2%)

preprocess192.0ms (3.4%)

explain102.0ms (1.8%)

eval0.0ms (0%)

prune6.0ms (0.1%)

simplify57.0ms (1%)

localize34.0ms (0.6%)

series33.0ms (0.6%)

rewrite252.0ms (4.4%)

simplify158.0ms (2.8%)

eval34.0ms (0.6%)

prune44.0ms (0.8%)

simplify51.0ms (0.9%)

localize99.0ms (1.7%)

series4.0ms (0.1%)

rewrite394.0ms (6.9%)

simplify230.0ms (4%)

eval76.0ms (1.3%)

prune50.0ms (0.9%)

simplify29.0ms (0.5%)

localize114.0ms (2%)

series1.0ms (0%)

rewrite326.0ms (5.7%)

simplify153.0ms (2.7%)

eval47.0ms (0.8%)

prune76.0ms (1.3%)

simplify5.0ms (0.1%)

localize17.0ms (0.3%)

series0.0ms (0%)

rewrite106.0ms (1.8%)

simplify6.0ms (0.1%)

eval7.0ms (0.1%)

prune18.0ms (0.3%)

regimes18.0ms (0.3%)

regimes11.0ms (0.2%)

regimes11.0ms (0.2%)

regimes11.0ms (0.2%)

regimes5.0ms (0.1%)

regimes2.0ms (0%)

regimes3.0ms (0.1%)

bsearch32.0ms (0.6%)

bsearch46.0ms (0.8%)

bsearch95.0ms (1.7%)

bsearch33.0ms (0.6%)

simplify11.0ms (0.2%)

soundness1.7s (30.3%)

preprocess64.0ms (1.1%)

end0.0ms (0%)

Profiling