Metrics for Numeric.Log:$cexpm1 from log-domain-0.10.2.1, B

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

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 9 to 7 computations (22.2% saved)

sample828.0ms (8.4%)

Memory

7.1MiB live, 794.5MiB allocated

Samples

676.0ms	8 254×	0	valid
0.0ms	2×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 245.0ms

ival-mult: 149.0ms (60.9% of total)

ival-add: 88.0ms (35.9% of total)

ival-true: 5.0ms (2% of total)

ival-assert: 3.0ms (1.2% of total)

adjust: 0.0ms (0% of total)

Bogosity

preprocess34.0ms (0.3%)

Memory

22.6MiB live, 59.6MiB allocated

Algorithm

2×	egg-herbie

Rules

168×	`cancel-sign-sub-inv`
168×	`sub-neg`
154×	`unsub-neg`
138×	`distribute-rgt-in`
116×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	48
1	59	45
2	167	42
3	558	42
4	1103	42
5	1265	42
6	1271	42
0	5	7
1	10	7
2	20	7
3	27	7
4	35	7
5	41	7
6	51	7
7	57	7
8	61	7
0	61	6

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(+ (+ (* x y) x) y)

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

Call 2

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

Outputs
(+ (+ (* x y) x) y)
(+ x (+ y (* x y)))
(+ (+ (* (neg x) y) (neg x)) y)
(- (- y (* x y)) x)
(+ (+ (* x (neg y)) x) (neg y))
(- x (+ y (* x y)))
(neg (+ (+ (* (neg x) y) (neg x)) y))
(+ x (- (* x y) y))
(neg (+ (+ (* x (neg y)) x) (neg y)))
(+ y (- (* x y) x))
(+ (+ (* y x) y) x)
(+ x (+ y (* x y)))

Symmetry

(sort x y)

explain80.0ms (0.8%)

Memory

-42.2MiB live, 77.1MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 (*.f64 x y) x)`
-	-	`y`
-	-	`(+.f64 (+.f64 (*.f64 x y) x) y)`
-	-	`(*.f64 x y)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

37.0ms

512×

valid

Compiler

Compiled 56 to 24 computations (57.1% saved)

Precisions

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

ival-add: 12.0ms (72.4% of total)

ival-mult: 4.0ms (24.1% of total)

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

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

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 18 to 11 computations (38.9% saved)

simplify28.0ms (0.3%)

Memory

-29.2MiB live, 9.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

76×	`accelerator-lowering-fma.f32`
76×	`accelerator-lowering-fma.f64`
48×	`-lowering-.f32`
48×	`-lowering-.f64`
32×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	35
1	24	35
2	32	35
3	48	35
4	50	35
5	53	35
6	57	35
0	57	31

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize46.0ms (0.5%)

Memory

24.6MiB live, 64.1MiB allocated

Localize:

Found 6 expressions of interest:

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

Samples

37.0ms

256×

valid

Compiler

Compiled 37 to 11 computations (70.3% saved)

Precisions

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

ival-mult: 24.0ms (82.7% of total)

ival-add: 5.0ms (17.2% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

-23.6MiB live, 15.8MiB allocated

Counts

6 → 132

Calls

Call 1

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

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

Calls

33 calls:

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

rewrite472.0ms (4.8%)

Memory

25.2MiB live, 998.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 852×	`accelerator-lowering-fma.f32`
7 852×	`accelerator-lowering-fma.f64`
6 120×	`-lowering-.f32`
6 120×	`-lowering-.f64`
4 386×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	69	30
2	603	30
0	8463	26

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 440

Calls

Call 1

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

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

simplify806.0ms (8.2%)

Memory

25.5MiB live, 996.2MiB allocated

Algorithm

1×	egg-herbie

Rules

29 368×	`accelerator-lowering-fma.f32`
29 368×	`accelerator-lowering-fma.f64`
3 356×	`-lowering-.f32`
3 356×	`-lowering-.f64`
2 524×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	622
1	182	622
2	465	622
3	1206	622
4	2745	622
5	3568	622
6	3964	622
7	4248	622
8	4396	622
9	4482	622
0	8391	536

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

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

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

eval333.0ms (3.4%)

Memory: -14.2MiB live, 99.9MiB allocated
Compiler: Compiled 15 010 to 934 computations (93.8% saved)

prune221.0ms (2.3%)

Memory

-0.7MiB live, 76.0MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	566	6	572
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	568	6	574

Accuracy

100.0%

Counts

574 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.2%	(+.f64 (*.f64 y x) y)
▶	59.6%	(+.f64 x (*.f64 y x))
▶	77.3%	(+.f64 x y)
▶	64.2%	(*.f64 y (+.f64 x #s(literal 1 binary64)))
▶	41.7%	y
▶	37.7%	x

Compiler

Compiled 64 to 40 computations (37.5% saved)

simplify6.0ms (0.1%)

Memory

4.1MiB live, 4.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

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

Rules

44×	`-lowering-.f32`
44×	`-lowering-.f64`
40×	`accelerator-lowering-fma.f32`
40×	`accelerator-lowering-fma.f64`
20×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	22	28
2	26	28
3	44	28
4	47	28
5	48	28
6	49	28
0	49	26

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize25.0ms (0.3%)

Memory

22.8MiB live, 22.8MiB allocated

Localize:

Found 5 expressions of interest:

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

Samples

15.0ms

256×

valid

Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions

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

ival-add: 4.0ms (55.5% of total)

ival-mult: 3.0ms (41.6% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Counts

5 → 108

Calls

Call 1

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

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

Calls

27 calls:

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

rewrite591.0ms (6%)

Memory

-23.7MiB live, 735.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 696×	`accelerator-lowering-fma.f32`
5 696×	`accelerator-lowering-fma.f64`
4 376×	`/-lowering-/.f32`
4 376×	`/-lowering-/.f64`
4 352×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	55	19
2	391	19
3	3782	19
0	9122	17

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 397

Calls

Call 1

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

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

simplify2.4s (24.1%)

Memory

-4.3MiB live, 402.9MiB allocated

Algorithm

1×	egg-herbie

Rules

5 588×	`accelerator-lowering-fma.f32`
5 588×	`accelerator-lowering-fma.f64`
3 178×	`-lowering-.f32`
3 178×	`-lowering-.f64`
2 256×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	386
1	143	386
2	326	386
3	783	386
4	1820	386
5	2527	386
6	2915	386
7	3244	386
8	3416	386
9	3516	386
10	7197	386
0	8191	344

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

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

eval56.0ms (0.6%)

Memory: 16.9MiB live, 171.9MiB allocated
Compiler: Compiled 11 577 to 1 177 computations (89.8% saved)

prune56.0ms (0.6%)

Memory

-3.6MiB live, 153.7MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	504	1	505
Fresh	0	1	1
Picked	0	5	5
Done	0	0	0
Total	504	7	511

Accuracy

100.0%

Counts

511 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.2%	(+.f64 (*.f64 y x) y)
✓	59.6%	(+.f64 x (*.f64 y x))
✓	77.3%	(+.f64 x y)
✓	64.2%	(*.f64 y (+.f64 x #s(literal 1 binary64)))
▶	24.7%	(*.f64 y x)
✓	41.7%	y
✓	37.7%	x

Compiler

Compiled 37 to 23 computations (37.8% saved)

simplify5.0ms (0%)

Memory

10.3MiB live, 10.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 y x)
✓	cost-diff	(+.f64 (*.f64 y x) y)
✓	cost-diff	(*.f64 y x)

Rules

28×	`-lowering-.f32`
28×	`-lowering-.f64`
16×	`accelerator-lowering-fma.f32`
16×	`accelerator-lowering-fma.f64`
8×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	15
1	6	15
2	9	15
3	13	15
4	19	15
5	19	15
6	32	15
7	32	15
0	32	14

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* y x)
y
x
(+ (* y x) y)
(* y x)
y
x

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

localize30.0ms (0.3%)

Memory

-18.4MiB live, 35.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	100.0%	(+.f64 (*.f64 y x) y)
✓	accuracy	100.0%	(*.f64 y x)

Samples

15.0ms

256×

valid

Compiler

Compiled 17 to 6 computations (64.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (59.8% of total)

ival-add: 1.0ms (29.9% of total)

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

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

series1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Counts

2 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite661.0ms (6.7%)

Memory

15.2MiB live, 1 001.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

18 392×	`accelerator-lowering-fma.f32`
18 392×	`accelerator-lowering-fma.f64`
4 258×	`-lowering-.f32`
4 258×	`-lowering-.f64`
4 054×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
1	19	8
2	145	8
3	1458	8
0	8290	7

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 223

Calls

Call 1

Inputs
(* y x)
(+ (* y x) y)

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

simplify268.0ms (2.7%)

Memory

18.2MiB live, 248.4MiB allocated

Algorithm

1×	egg-herbie

Rules

3 752×	`accelerator-lowering-fma.f32`
3 752×	`accelerator-lowering-fma.f64`
2 176×	`-lowering-.f32`
2 176×	`-lowering-.f64`
1 346×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	184
1	64	184
2	151	184
3	328	184
4	786	184
5	1769	184
6	2575	184
7	3378	184
8	3860	184
9	4113	184
10	4125	184
11	4125	184
12	4646	184
13	5275	184
14	5626	184
15	5775	184
16	5899	184
17	6417	184
18	7426	184
19	7624	184
20	7822	184
21	7840	184
0	8382	163

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

eval89.0ms (0.9%)

Memory: -35.9MiB live, 100.1MiB allocated
Compiler: Compiled 10 116 to 520 computations (94.9% saved)

prune76.0ms (0.8%)

Memory

-6.6MiB live, 80.1MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	305	0	305
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	305	7	312

Accuracy

100.0%

Counts

312 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	64.2%	(+.f64 (*.f64 y x) y)
✓	59.6%	(+.f64 x (*.f64 y x))
✓	77.3%	(+.f64 x y)
✓	64.2%	(*.f64 y (+.f64 x #s(literal 1 binary64)))
✓	24.7%	(*.f64 y x)
✓	41.7%	y
✓	37.7%	x

Compiler

Compiled 76 to 36 computations (52.6% saved)

regimes41.0ms (0.4%)

Memory

-9.6MiB live, 29.9MiB allocated

Counts

9 → 1

Calls

Call 1

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

Outputs
(+.f64 (+.f64 (*.f64 x y) x) y)

Calls

3 calls:

33.0ms	y
3.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)
3.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(+.f64 (+.f64 (*.f64 x y) x) y)`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes7.0ms (0.1%)

Memory

14.5MiB live, 14.5MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory

-21.7MiB live, 17.7MiB allocated

Counts

7 → 3

Calls

Call 1

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

Outputs
(+.f64 x (*.f64 y x))
(+.f64 x y)
(+.f64 (*.f64 y x) y)

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
99.6%	3	`x`
99.8%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory

8.9MiB live, 8.9MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.7%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory

14.3MiB live, 14.3MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
85.0%	3	`x`
99.1%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0%)

Memory

5.1MiB live, 5.1MiB allocated

Counts

4 → 3

Calls

Call 1

Inputs
x
y
(*.f64 y x)
(+.f64 x y)

Outputs
(*.f64 y x)
(+.f64 x y)
(*.f64 y x)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
85.5%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Memory

7.6MiB live, 7.6MiB allocated

Counts

3 → 4

Calls

Call 1

Inputs
x
y
(*.f64 y x)

Outputs
(*.f64 y x)
x
y
(*.f64 y x)

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
75.7%	4	`x`
74.1%	4	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes24.0ms (0.2%)

Memory

-31.0MiB live, 8.6MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
x
y

Outputs
x
y

Calls

2 calls:

22.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
65.9%	2	`y`
68.5%	2	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory

8.2MiB live, 8.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
37.7%	1	`y`
37.7%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch24.0ms (0.2%)

Memory

7.8MiB live, 48.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	3.562827500737761e-8	0.0007226317717636522
14.0ms	-7.156828253043611e-12	-3.2135024240608745e-41

Samples

11.0ms

304×

valid

Compiler

Compiled 278 to 181 computations (34.9% saved)

Precisions

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

ival-add: 3.0ms (57.5% of total)

ival-mult: 2.0ms (38.3% of total)

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

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

bsearch26.0ms (0.3%)

Memory

-16.4MiB live, 60.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	3.562827500737761e-8	0.0007226317717636522
13.0ms	-7.156828253043611e-12	-3.2135024240608745e-41

Samples

11.0ms

304×

valid

Compiler

Compiled 278 to 189 computations (32% saved)

Precisions

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

ival-add: 3.0ms (55.9% of total)

ival-mult: 2.0ms (37.3% of total)

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

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

bsearch26.0ms (0.3%)

Memory

3.6MiB live, 40.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	3.562827500737761e-8	0.0007226317717636522
11.0ms	-4569.958159753086	-4.116192120977236e-11

Samples

10.0ms

288×

valid

Compiler

Compiled 244 to 170 computations (30.3% saved)

Precisions

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

ival-add: 2.0ms (41.6% of total)

ival-mult: 2.0ms (41.6% of total)

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

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

bsearch35.0ms (0.4%)

Memory

-3.3MiB live, 40.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
5.0ms	3.862383903195781e+273	8.011514578605184e+273
11.0ms	-4569.958159753086	-4.116192120977236e-11

Samples

9.0ms

240×

valid

Compiler

Compiled 192 to 130 computations (32.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-add: 2.0ms (47.3% of total)

ival-mult: 2.0ms (47.3% of total)

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

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

bsearch31.0ms (0.3%)

Memory

4.1MiB live, 81.9MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
10.0ms	1.843666728028452e-12	17611009.517300773
9.0ms	-1.0304650505564798e-101	-9.017429082171929e-104
9.0ms	-1.993292147315791e+220	-9.312390967888946e+216

Samples

16.0ms

400×

valid

Compiler

Compiled 248 to 178 computations (28.2% saved)

Precisions

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

ival-add: 5.0ms (63.4% of total)

ival-mult: 3.0ms (38% of total)

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

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

bsearch8.0ms (0.1%)

Memory

23.6MiB live, 23.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	-1.0304650505564798e-101	-9.017429082171929e-104

Samples

4.0ms

112×

valid

Compiler

Compiled 68 to 52 computations (23.5% saved)

Precisions

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

ival-add: 1.0ms (51% of total)

ival-mult: 1.0ms (51% of total)

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

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

simplify11.0ms (0.1%)

Memory

-13.9MiB live, 23.1MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative_binary64`
4×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`if-if-or-not_binary32`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	117
1	55	117

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 (*.f64 x y) x) y)
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -4332790137498831/618970019642690137449562112 binary64)) (+.f64 x (.f64 y x)) (if (<=.f64 y #s(literal 6456360425798343/9223372036854775808 binary64)) (+.f64 x y) (+.f64 (.f64 y x) y)))
(if (<=.f64 y #s(literal -4332790137498831/618970019642690137449562112 binary64)) (+.f64 x (.f64 y x)) (if (<=.f64 y #s(literal 6456360425798343/9223372036854775808 binary64)) (+.f64 x y) (.f64 y (+.f64 x #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -4500 binary64)) (.f64 y x) (if (<=.f64 y #s(literal 6456360425798343/9223372036854775808 binary64)) (+.f64 x y) (.f64 y (+.f64 x #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -4500 binary64)) (.f64 y x) (if (<=.f64 y #s(literal 7200000000000000471762798893768725661645997624745577568869499767647982023842991474922019586044354769014737169011088497357120756254267825531903487590842633389695499134543686016941466752352383031422462861719463855733024942001895855508165096597149026497705218739715598798815232 binary64)) (+.f64 x y) (.f64 y x)))
(if (<=.f64 x #s(literal -2800000000000000153059114385006987140989934917517010509617189336773870137068220496043753842186411526290104749460088593845620266118190343278043557186153761321521664467801603845541993398687475517555259011639948822504800256 binary64)) (.f64 y x) (if (<=.f64 x #s(literal -6304320991423117/630432099142311667396464641602297820881275828327447146687172694467931548343955369782628260078158650252906047844909056 binary64)) x (if (<=.f64 x #s(literal 1 binary64)) y (.f64 y x))))
(if (<=.f64 x #s(literal -7060839510393891/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896 binary64)) x y)
x

Outputs
(+.f64 (+.f64 (*.f64 x y) x) y)
(+.f64 y (+.f64 x (*.f64 x y)))
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -4332790137498831/618970019642690137449562112 binary64)) (+.f64 x (.f64 y x)) (if (<=.f64 y #s(literal 6456360425798343/9223372036854775808 binary64)) (+.f64 x y) (+.f64 (.f64 y x) y)))
(if (<=.f64 y #s(literal -4332790137498831/618970019642690137449562112 binary64)) (+.f64 x (.f64 x y)) (if (<=.f64 y #s(literal 6456360425798343/9223372036854775808 binary64)) (+.f64 x y) (+.f64 y (.f64 x y))))
(if (<=.f64 y #s(literal -4332790137498831/618970019642690137449562112 binary64)) (+.f64 x (.f64 y x)) (if (<=.f64 y #s(literal 6456360425798343/9223372036854775808 binary64)) (+.f64 x y) (.f64 y (+.f64 x #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -4332790137498831/618970019642690137449562112 binary64)) (+.f64 x (.f64 x y)) (if (<=.f64 y #s(literal 6456360425798343/9223372036854775808 binary64)) (+.f64 x y) (.f64 y (+.f64 x #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -4500 binary64)) (.f64 y x) (if (<=.f64 y #s(literal 6456360425798343/9223372036854775808 binary64)) (+.f64 x y) (.f64 y (+.f64 x #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -4500 binary64)) (.f64 x y) (if (<=.f64 y #s(literal 6456360425798343/9223372036854775808 binary64)) (+.f64 x y) (.f64 y (+.f64 x #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -4500 binary64)) (.f64 y x) (if (<=.f64 y #s(literal 7200000000000000471762798893768725661645997624745577568869499767647982023842991474922019586044354769014737169011088497357120756254267825531903487590842633389695499134543686016941466752352383031422462861719463855733024942001895855508165096597149026497705218739715598798815232 binary64)) (+.f64 x y) (.f64 y x)))
(if (<=.f64 y #s(literal -4500 binary64)) (.f64 x y) (if (<=.f64 y #s(literal 7200000000000000471762798893768725661645997624745577568869499767647982023842991474922019586044354769014737169011088497357120756254267825531903487590842633389695499134543686016941466752352383031422462861719463855733024942001895855508165096597149026497705218739715598798815232 binary64)) (+.f64 x y) (.f64 x y)))
(if (<=.f64 x #s(literal -2800000000000000153059114385006987140989934917517010509617189336773870137068220496043753842186411526290104749460088593845620266118190343278043557186153761321521664467801603845541993398687475517555259011639948822504800256 binary64)) (.f64 y x) (if (<=.f64 x #s(literal -6304320991423117/630432099142311667396464641602297820881275828327447146687172694467931548343955369782628260078158650252906047844909056 binary64)) x (if (<=.f64 x #s(literal 1 binary64)) y (.f64 y x))))
(if (<=.f64 x #s(literal -2800000000000000153059114385006987140989934917517010509617189336773870137068220496043753842186411526290104749460088593845620266118190343278043557186153761321521664467801603845541993398687475517555259011639948822504800256 binary64)) (.f64 x y) (if (<=.f64 x #s(literal -6304320991423117/630432099142311667396464641602297820881275828327447146687172694467931548343955369782628260078158650252906047844909056 binary64)) x (if (<=.f64 x #s(literal 1 binary64)) y (.f64 x y))))
(if (<=.f64 x #s(literal -7060839510393891/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896 binary64)) x y)
x

soundness2.4s (24.1%)

Memory

34.8MiB live, 1 622.6MiB allocated

Rules

29 368×	`accelerator-lowering-fma.f32`
29 368×	`accelerator-lowering-fma.f64`
5 588×	`accelerator-lowering-fma.f32`
5 588×	`accelerator-lowering-fma.f64`
3 356×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	386
1	143	386
2	326	386
3	783	386
4	1820	386
5	2527	386
6	2915	386
7	3244	386
8	3416	386
9	3516	386
10	7197	386
0	8191	344
0	52	622
1	182	622
2	465	622
3	1206	622
4	2745	622
5	3568	622
6	3964	622
7	4248	622
8	4396	622
9	4482	622
0	8391	536
0	5	7
1	10	7
2	20	7
3	27	7
4	35	7
5	41	7
6	51	7
7	57	7
8	61	7
0	61	6

Stop Event

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

Compiler

Compiled 380 to 207 computations (45.5% saved)

preprocess100.0ms (1%)

Memory: -13.1MiB live, 105.6MiB allocated
Remove: (sort x y)
Compiler: Compiled 314 to 114 computations (63.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample828.0ms (8.4%)

preprocess34.0ms (0.3%)

explain80.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify28.0ms (0.3%)

localize46.0ms (0.5%)

series8.0ms (0.1%)

rewrite472.0ms (4.8%)

simplify806.0ms (8.2%)

eval333.0ms (3.4%)

prune221.0ms (2.3%)

simplify6.0ms (0.1%)

localize25.0ms (0.3%)

series2.0ms (0%)

rewrite591.0ms (6%)

simplify2.4s (24.1%)

eval56.0ms (0.6%)

prune56.0ms (0.6%)

simplify5.0ms (0%)

localize30.0ms (0.3%)

series1.0ms (0%)

rewrite661.0ms (6.7%)

simplify268.0ms (2.7%)

eval89.0ms (0.9%)

prune76.0ms (0.8%)

regimes41.0ms (0.4%)

regimes7.0ms (0.1%)

regimes12.0ms (0.1%)

regimes3.0ms (0%)

regimes5.0ms (0.1%)

regimes2.0ms (0%)

regimes4.0ms (0%)

regimes24.0ms (0.2%)

regimes3.0ms (0%)

bsearch24.0ms (0.2%)

bsearch26.0ms (0.3%)

bsearch26.0ms (0.3%)

bsearch35.0ms (0.4%)

bsearch31.0ms (0.3%)

bsearch8.0ms (0.1%)

simplify11.0ms (0.1%)

soundness2.4s (24.1%)

preprocess100.0ms (1%)

end0.0ms (0%)

Profiling