Metrics for Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, A

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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 9 computations (0% saved)

sample760.0ms (26.4%)

Memory

25.4MiB live, 1 227.4MiB allocated

Samples

406.0ms	7 621×	0	valid
24.0ms	260×	1	valid
18.0ms	160×	3	valid
18.0ms	215×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 251.0ms

ival-mult: 109.0ms (43.4% of total)

ival-div: 59.0ms (23.5% of total)

ival-sub: 54.0ms (21.5% of total)

adjust: 12.0ms (4.8% of total)

exact: 8.0ms (3.2% of total)

ival-true: 6.0ms (2.4% of total)

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

Bogosity

explain440.0ms (15.3%)

Memory

-33.3MiB live, 132.6MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`#s(literal 8 binary64)`
-	-	`y`
-	-	`#s(literal 3 binary64)`
-	-	`(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))`
-	-	`(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)`
-	-	`(/.f64 #s(literal 3 binary64) #s(literal 8 binary64))`
-	-	`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

128.0ms	478×	0	valid
1.0ms	18×	1	valid
1.0ms	10×	2	valid
1.0ms	6×	3	valid

Compiler

Compiled 49 to 25 computations (49% saved)

Precisions

Click to see histograms. Total time spent on operations: 117.0ms

ival-mult: 109.0ms (93.1% of total)

ival-div: 4.0ms (3.4% of total)

ival-sub: 3.0ms (2.6% of total)

adjust: 1.0ms (0.9% of total)

exact: 1.0ms (0.9% of total)

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

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

preprocess21.0ms (0.7%)

Memory

31.0MiB live, 31.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	29
1	44	27
2	88	25
3	163	25
4	239	25
5	257	25
6	263	25
0	7	5
0	11	5
1	18	5
2	28	5
3	37	5
4	49	5
5	67	5
6	102	5
7	130	5
8	166	5
9	190	5
10	204	5
0	204	4

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))

Outputs
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
(fma.f64 #s(literal -3/8 binary64) y x)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))

Compiler

Compiled 7 to 7 computations (0% saved)

simplify110.0ms (3.8%)

Memory

-35.1MiB live, 12.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
cost-diff	128	(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
cost-diff	704	(/.f64 #s(literal 3 binary64) #s(literal 8 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
0	11	13
1	18	13
2	28	13
3	37	13
4	49	13
5	67	13
6	102	13
7	130	13
8	166	13
9	190	13
10	204	13
0	204	12

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
x
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
(/.f64 #s(literal 3 binary64) #s(literal 8 binary64))
#s(literal 3 binary64)
#s(literal 8 binary64)
y

Outputs
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
(fma.f64 #s(literal -3/8 binary64) y x)
x
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
(*.f64 y #s(literal 3/8 binary64))
(/.f64 #s(literal 3 binary64) #s(literal 8 binary64))
#s(literal 3/8 binary64)
#s(literal 3 binary64)
#s(literal 8 binary64)
y

localize50.0ms (1.7%)

Memory

14.8MiB live, 53.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal 3 binary64) #s(literal 8 binary64))
accuracy	0	(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
accuracy	0.07421875	(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))

Samples

42.0ms	239×	0	valid
2.0ms	9×	1	valid
0.0ms	5×	2	valid
0.0ms	3×	3	valid

Compiler

Compiled 21 to 9 computations (57.1% saved)

Precisions

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

ival-div: 2.0ms (34.4% of total)

ival-mult: 2.0ms (34.4% of total)

ival-sub: 1.0ms (17.2% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB allocated

Counts

3 → 36

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) (patch (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 x (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) (patch (-.f64 x (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) (patch (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) #<representation binary64>) () ())

Inputs

#s(alt (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) (patch (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) #<representation binary64>) () ())

#s(alt (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) (patch (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) #<representation binary64>) () ())

#s(alt (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) (patch (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 y) (#s(alt (-.f64 x (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) (patch (-.f64 x (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -3/8 y)) (taylor 0 y) (#s(alt (-.f64 x (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) (patch (-.f64 x (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -3/8 y)) (taylor 0 y) (#s(alt (-.f64 x (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) (patch (-.f64 x (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -3/8 y)) (taylor 0 y) (#s(alt (-.f64 x (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) (patch (-.f64 x (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* 3/8 y) (taylor 0 y) (#s(alt (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) (patch (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3/8 y) (taylor 0 y) (#s(alt (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) (patch (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3/8 y) (taylor 0 y) (#s(alt (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) (patch (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3/8 y) (taylor 0 y) (#s(alt (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) (patch (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -3/8 y) (taylor inf y) (#s(alt (-.f64 x (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) (patch (-.f64 x (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 3/8)) (taylor inf y) (#s(alt (-.f64 x (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) (patch (-.f64 x (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 3/8)) (taylor inf y) (#s(alt (-.f64 x (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) (patch (-.f64 x (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 3/8)) (taylor inf y) (#s(alt (-.f64 x (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) (patch (-.f64 x (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* 3/8 y) (taylor inf y) (#s(alt (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) (patch (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3/8 y) (taylor inf y) (#s(alt (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) (patch (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3/8 y) (taylor inf y) (#s(alt (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) (patch (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3/8 y) (taylor inf y) (#s(alt (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) (patch (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -3/8 y) (taylor -inf y) (#s(alt (-.f64 x (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) (patch (-.f64 x (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 3/8 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) (patch (-.f64 x (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 3/8 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) (patch (-.f64 x (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 3/8 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) (patch (-.f64 x (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* 3/8 y) (taylor -inf y) (#s(alt (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) (patch (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3/8 y) (taylor -inf y) (#s(alt (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) (patch (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3/8 y) (taylor -inf y) (#s(alt (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) (patch (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3/8 y) (taylor -inf y) (#s(alt (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) (patch (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -3/8 y) (taylor 0 x) (#s(alt (-.f64 x (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) (patch (-.f64 x (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (- x (* 3/8 y)) (taylor 0 x) (#s(alt (-.f64 x (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) (patch (-.f64 x (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (- x (* 3/8 y)) (taylor 0 x) (#s(alt (-.f64 x (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) (patch (-.f64 x (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (- x (* 3/8 y)) (taylor 0 x) (#s(alt (-.f64 x (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) (patch (-.f64 x (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) (patch (-.f64 x (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -3/8 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) (patch (-.f64 x (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -3/8 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) (patch (-.f64 x (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -3/8 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) (patch (-.f64 x (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) (patch (-.f64 x (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3/8 (/ y x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) (patch (-.f64 x (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3/8 (/ y x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) (patch (-.f64 x (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3/8 (/ y x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) (patch (-.f64 x (.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	((/ 3 8) (- x (* (/ 3 8) y)) (* (/ 3 8) y))
1.0ms	y	@	-inf	((/ 3 8) (- x (* (/ 3 8) y)) (* (/ 3 8) y))
1.0ms	x	@	-inf	((/ 3 8) (- x (* (/ 3 8) y)) (* (/ 3 8) y))
0.0ms	y	@	0	((/ 3 8) (- x (* (/ 3 8) y)) (* (/ 3 8) y))
0.0ms	x	@	inf	((/ 3 8) (- x (* (/ 3 8) y)) (* (/ 3 8) y))

simplify177.0ms (6.2%)

Memory

0.0MiB live, 150.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	138
1	68	138
2	170	138
3	455	138
4	1250	138
5	2475	138
6	3277	138
7	3613	138
8	3909	138
9	4090	138
10	5236	138
11	6032	138
12	6800	138
13	7068	138
14	7848	138
0	8384	120

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 33

Calls

Call 1

Inputs
x
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* -3/8 y)
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* -3/8 y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* -3/8 y)
(- x (* 3/8 y))
(- x (* 3/8 y))
(- x (* 3/8 y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))

Outputs
x
(+ x (* -3/8 y))
(fma.f64 y #s(literal -3/8 binary64) x)
(+ x (* -3/8 y))
(fma.f64 y #s(literal -3/8 binary64) x)
(+ x (* -3/8 y))
(fma.f64 y #s(literal -3/8 binary64) x)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* y (- (/ x y) 3/8))
(fma.f64 y #s(literal -3/8 binary64) x)
(* y (- (/ x y) 3/8))
(fma.f64 y #s(literal -3/8 binary64) x)
(* y (- (/ x y) 3/8))
(fma.f64 y #s(literal -3/8 binary64) x)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(fma.f64 y #s(literal -3/8 binary64) x)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(fma.f64 y #s(literal -3/8 binary64) x)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(fma.f64 y #s(literal -3/8 binary64) x)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(- x (* 3/8 y))
(fma.f64 y #s(literal -3/8 binary64) x)
(- x (* 3/8 y))
(fma.f64 y #s(literal -3/8 binary64) x)
(- x (* 3/8 y))
(fma.f64 y #s(literal -3/8 binary64) x)
x
(* x (+ 1 (* -3/8 (/ y x))))
(fma.f64 y #s(literal -3/8 binary64) x)
(* x (+ 1 (* -3/8 (/ y x))))
(fma.f64 y #s(literal -3/8 binary64) x)
(* x (+ 1 (* -3/8 (/ y x))))
(fma.f64 y #s(literal -3/8 binary64) x)
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(fma.f64 y #s(literal -3/8 binary64) x)
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(fma.f64 y #s(literal -3/8 binary64) x)
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(fma.f64 y #s(literal -3/8 binary64) x)

rewrite197.0ms (6.9%)

Memory

-19.4MiB live, 341.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
0	11	9
1	30	9
2	187	9
3	1693	9
0	8663	8

Stop Event

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

Counts

3 → 205

Calls

Call 1

Inputs
(/.f64 #s(literal 3 binary64) #s(literal 8 binary64))
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)

Outputs
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eval30.0ms (1.1%)

Memory: 13.8MiB live, 93.9MiB allocated
Compiler: Compiled 7 170 to 605 computations (91.6% saved)

prune6.0ms (0.2%)

Memory

-16.6MiB live, 22.3MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	236	2	238
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	237	2	239

Accuracy

100.0%

Counts

239 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y #s(literal -3/8 binary64) x)
▶	48.6%	#s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64)))

Compiler

Compiled 8 to 9 computations (-12.5% saved)

simplify8.0ms (0.3%)

Memory

25.6MiB live, 25.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 y #s(literal -3/8 binary64) x)
cost-diff	0	(*.f64 y #s(literal -3/8 binary64))
cost-diff	0	#s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	21
0	14	20
1	21	20
2	29	20
3	38	20
4	51	20
5	69	20
6	104	20
7	131	20
8	167	20
9	191	20
10	205	20
0	205	20

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64)))
(*.f64 y #s(literal -3/8 binary64))
y
#s(literal -3/8 binary64)
(fma.f64 y #s(literal -3/8 binary64) x)
y
#s(literal -3/8 binary64)
x

Outputs
#s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64)))
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
(*.f64 y #s(literal -3/8 binary64))
(*.f64 #s(literal -3/8 binary64) y)
y
#s(literal -3/8 binary64)
(fma.f64 y #s(literal -3/8 binary64) x)
(fma.f64 #s(literal -3/8 binary64) y x)
y
#s(literal -3/8 binary64)
x

localize32.0ms (1.1%)

Memory

-26.2MiB live, 92.2MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 y #s(literal -3/8 binary64) x)
accuracy	0	(*.f64 y #s(literal -3/8 binary64))
accuracy	32.89987058474196	#s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64)))

Samples

17.0ms	239×	0	valid
4.0ms	9×	1	valid
1.0ms	5×	2	valid
1.0ms	3×	3	valid

Compiler

Compiled 22 to 12 computations (45.5% saved)

Precisions

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

ival-div: 3.0ms (26.8% of total)

ival-mult: 3.0ms (26.8% of total)

ival-add: 1.0ms (8.9% of total)

ival-sub: 1.0ms (8.9% of total)

exact: 1.0ms (8.9% of total)

adjust: 0.0ms (0% of total)

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

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

series3.0ms (0.1%)

Memory

14.3MiB live, 14.3MiB allocated

Counts

3 → 60

Calls

Call 1

Inputs
#s(alt #s(approx (- x (* (/ 3 8) y)) (.f64 y #s(literal -3/8 binary64))) (patch #s(approx (- x ( (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) #<representation binary64>) () ())
#s(alt (.f64 y #s(literal -3/8 binary64)) (patch (.f64 y #s(literal -3/8 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 y #s(literal -3/8 binary64) x) (patch (fma.f64 y #s(literal -3/8 binary64) x) #<representation binary64>) () ())

Inputs

#s(alt #s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) (patch #s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) #<representation binary64>) () ())

#s(alt (*.f64 y #s(literal -3/8 binary64)) (patch (*.f64 y #s(literal -3/8 binary64)) #<representation binary64>) () ())

#s(alt (fma.f64 y #s(literal -3/8 binary64) x) (patch (fma.f64 y #s(literal -3/8 binary64) x) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 y) (#s(alt #s(approx (- x (* (/ 3 8) y)) (.f64 y #s(literal -3/8 binary64))) (patch #s(approx (- x ( (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -3/8 y)) (taylor 0 y) (#s(alt #s(approx (- x (* (/ 3 8) y)) (.f64 y #s(literal -3/8 binary64))) (patch #s(approx (- x ( (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -3/8 y)) (taylor 0 y) (#s(alt #s(approx (- x (* (/ 3 8) y)) (.f64 y #s(literal -3/8 binary64))) (patch #s(approx (- x ( (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -3/8 y)) (taylor 0 y) (#s(alt #s(approx (- x (* (/ 3 8) y)) (.f64 y #s(literal -3/8 binary64))) (patch #s(approx (- x ( (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -3/8 y) (taylor 0 y) (#s(alt (.f64 y #s(literal -3/8 binary64)) (patch (.f64 y #s(literal -3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3/8 y) (taylor 0 y) (#s(alt (.f64 y #s(literal -3/8 binary64)) (patch (.f64 y #s(literal -3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3/8 y) (taylor 0 y) (#s(alt (.f64 y #s(literal -3/8 binary64)) (patch (.f64 y #s(literal -3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3/8 y) (taylor 0 y) (#s(alt (.f64 y #s(literal -3/8 binary64)) (patch (.f64 y #s(literal -3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (fma.f64 y #s(literal -3/8 binary64) x) (patch (fma.f64 y #s(literal -3/8 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -3/8 y)) (taylor 0 y) (#s(alt (fma.f64 y #s(literal -3/8 binary64) x) (patch (fma.f64 y #s(literal -3/8 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -3/8 y)) (taylor 0 y) (#s(alt (fma.f64 y #s(literal -3/8 binary64) x) (patch (fma.f64 y #s(literal -3/8 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -3/8 y)) (taylor 0 y) (#s(alt (fma.f64 y #s(literal -3/8 binary64) x) (patch (fma.f64 y #s(literal -3/8 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -3/8 y) (taylor inf y) (#s(alt #s(approx (- x (* (/ 3 8) y)) (.f64 y #s(literal -3/8 binary64))) (patch #s(approx (- x ( (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 3/8)) (taylor inf y) (#s(alt #s(approx (- x (* (/ 3 8) y)) (.f64 y #s(literal -3/8 binary64))) (patch #s(approx (- x ( (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 3/8)) (taylor inf y) (#s(alt #s(approx (- x (* (/ 3 8) y)) (.f64 y #s(literal -3/8 binary64))) (patch #s(approx (- x ( (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 3/8)) (taylor inf y) (#s(alt #s(approx (- x (* (/ 3 8) y)) (.f64 y #s(literal -3/8 binary64))) (patch #s(approx (- x ( (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -3/8 y) (taylor inf y) (#s(alt (.f64 y #s(literal -3/8 binary64)) (patch (.f64 y #s(literal -3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3/8 y) (taylor inf y) (#s(alt (.f64 y #s(literal -3/8 binary64)) (patch (.f64 y #s(literal -3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3/8 y) (taylor inf y) (#s(alt (.f64 y #s(literal -3/8 binary64)) (patch (.f64 y #s(literal -3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3/8 y) (taylor inf y) (#s(alt (.f64 y #s(literal -3/8 binary64)) (patch (.f64 y #s(literal -3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3/8 y) (taylor inf y) (#s(alt (fma.f64 y #s(literal -3/8 binary64) x) (patch (fma.f64 y #s(literal -3/8 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 3/8)) (taylor inf y) (#s(alt (fma.f64 y #s(literal -3/8 binary64) x) (patch (fma.f64 y #s(literal -3/8 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 3/8)) (taylor inf y) (#s(alt (fma.f64 y #s(literal -3/8 binary64) x) (patch (fma.f64 y #s(literal -3/8 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 3/8)) (taylor inf y) (#s(alt (fma.f64 y #s(literal -3/8 binary64) x) (patch (fma.f64 y #s(literal -3/8 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -3/8 y) (taylor -inf y) (#s(alt #s(approx (- x (* (/ 3 8) y)) (.f64 y #s(literal -3/8 binary64))) (patch #s(approx (- x ( (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 3/8 (* -1 (/ x y))))) (taylor -inf y) (#s(alt #s(approx (- x (* (/ 3 8) y)) (.f64 y #s(literal -3/8 binary64))) (patch #s(approx (- x ( (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 3/8 (* -1 (/ x y))))) (taylor -inf y) (#s(alt #s(approx (- x (* (/ 3 8) y)) (.f64 y #s(literal -3/8 binary64))) (patch #s(approx (- x ( (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 3/8 (* -1 (/ x y))))) (taylor -inf y) (#s(alt #s(approx (- x (* (/ 3 8) y)) (.f64 y #s(literal -3/8 binary64))) (patch #s(approx (- x ( (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -3/8 y) (taylor -inf y) (#s(alt (.f64 y #s(literal -3/8 binary64)) (patch (.f64 y #s(literal -3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3/8 y) (taylor -inf y) (#s(alt (.f64 y #s(literal -3/8 binary64)) (patch (.f64 y #s(literal -3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3/8 y) (taylor -inf y) (#s(alt (.f64 y #s(literal -3/8 binary64)) (patch (.f64 y #s(literal -3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3/8 y) (taylor -inf y) (#s(alt (.f64 y #s(literal -3/8 binary64)) (patch (.f64 y #s(literal -3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3/8 y) (taylor -inf y) (#s(alt (fma.f64 y #s(literal -3/8 binary64) x) (patch (fma.f64 y #s(literal -3/8 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 3/8 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (fma.f64 y #s(literal -3/8 binary64) x) (patch (fma.f64 y #s(literal -3/8 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 3/8 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (fma.f64 y #s(literal -3/8 binary64) x) (patch (fma.f64 y #s(literal -3/8 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 3/8 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (fma.f64 y #s(literal -3/8 binary64) x) (patch (fma.f64 y #s(literal -3/8 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -3/8 y) (taylor 0 x) (#s(alt #s(approx (- x (* (/ 3 8) y)) (.f64 y #s(literal -3/8 binary64))) (patch #s(approx (- x ( (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x (* 3/8 y)) (taylor 0 x) (#s(alt #s(approx (- x (* (/ 3 8) y)) (.f64 y #s(literal -3/8 binary64))) (patch #s(approx (- x ( (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x (* 3/8 y)) (taylor 0 x) (#s(alt #s(approx (- x (* (/ 3 8) y)) (.f64 y #s(literal -3/8 binary64))) (patch #s(approx (- x ( (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x (* 3/8 y)) (taylor 0 x) (#s(alt #s(approx (- x (* (/ 3 8) y)) (.f64 y #s(literal -3/8 binary64))) (patch #s(approx (- x ( (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -3/8 y) (taylor 0 x) (#s(alt (fma.f64 y #s(literal -3/8 binary64) x) (patch (fma.f64 y #s(literal -3/8 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -3/8 y)) (taylor 0 x) (#s(alt (fma.f64 y #s(literal -3/8 binary64) x) (patch (fma.f64 y #s(literal -3/8 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -3/8 y)) (taylor 0 x) (#s(alt (fma.f64 y #s(literal -3/8 binary64) x) (patch (fma.f64 y #s(literal -3/8 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -3/8 y)) (taylor 0 x) (#s(alt (fma.f64 y #s(literal -3/8 binary64) x) (patch (fma.f64 y #s(literal -3/8 binary64) x) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt #s(approx (- x (* (/ 3 8) y)) (.f64 y #s(literal -3/8 binary64))) (patch #s(approx (- x ( (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -3/8 (/ y x)))) (taylor inf x) (#s(alt #s(approx (- x (* (/ 3 8) y)) (.f64 y #s(literal -3/8 binary64))) (patch #s(approx (- x ( (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -3/8 (/ y x)))) (taylor inf x) (#s(alt #s(approx (- x (* (/ 3 8) y)) (.f64 y #s(literal -3/8 binary64))) (patch #s(approx (- x ( (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -3/8 (/ y x)))) (taylor inf x) (#s(alt #s(approx (- x (* (/ 3 8) y)) (.f64 y #s(literal -3/8 binary64))) (patch #s(approx (- x ( (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (fma.f64 y #s(literal -3/8 binary64) x) (patch (fma.f64 y #s(literal -3/8 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -3/8 (/ y x)))) (taylor inf x) (#s(alt (fma.f64 y #s(literal -3/8 binary64) x) (patch (fma.f64 y #s(literal -3/8 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -3/8 (/ y x)))) (taylor inf x) (#s(alt (fma.f64 y #s(literal -3/8 binary64) x) (patch (fma.f64 y #s(literal -3/8 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -3/8 (/ y x)))) (taylor inf x) (#s(alt (fma.f64 y #s(literal -3/8 binary64) x) (patch (fma.f64 y #s(literal -3/8 binary64) x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- x (* (/ 3 8) y)) (.f64 y #s(literal -3/8 binary64))) (patch #s(approx (- x ( (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3/8 (/ y x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x (* (/ 3 8) y)) (.f64 y #s(literal -3/8 binary64))) (patch #s(approx (- x ( (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3/8 (/ y x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x (* (/ 3 8) y)) (.f64 y #s(literal -3/8 binary64))) (patch #s(approx (- x ( (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3/8 (/ y x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x (* (/ 3 8) y)) (.f64 y #s(literal -3/8 binary64))) (patch #s(approx (- x ( (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 y #s(literal -3/8 binary64) x) (patch (fma.f64 y #s(literal -3/8 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3/8 (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 y #s(literal -3/8 binary64) x) (patch (fma.f64 y #s(literal -3/8 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3/8 (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 y #s(literal -3/8 binary64) x) (patch (fma.f64 y #s(literal -3/8 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3/8 (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 y #s(literal -3/8 binary64) x) (patch (fma.f64 y #s(literal -3/8 binary64) x) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	-inf	((- x (* (/ 3 8) y)) (* y -3/8) (+ (* y -3/8) x))
0.0ms	y	@	0	((- x (* (/ 3 8) y)) (* y -3/8) (+ (* y -3/8) x))
0.0ms	y	@	inf	((- x (* (/ 3 8) y)) (* y -3/8) (+ (* y -3/8) x))
0.0ms	x	@	-inf	((- x (* (/ 3 8) y)) (* y -3/8) (+ (* y -3/8) x))
0.0ms	x	@	inf	((- x (* (/ 3 8) y)) (* y -3/8) (+ (* y -3/8) x))

simplify224.0ms (7.8%)

Memory

-9.9MiB live, 187.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	240
1	68	240
2	170	240
3	456	240
4	1244	240
5	2466	240
6	3268	240
7	3604	240
8	3900	240
9	4084	240
10	5232	240
11	6028	240
12	6796	240
13	7064	240
14	7844	240
0	8380	204

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 54

Calls

Call 1

Inputs
x
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
x
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(* -3/8 y)
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* -3/8 y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -3/8 y)
(- x (* 3/8 y))
(- x (* 3/8 y))
(- x (* 3/8 y))
(* -3/8 y)
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(+ x (* -3/8 y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
x
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))

Outputs
x
(+ x (* -3/8 y))
(fma.f64 y #s(literal -3/8 binary64) x)
(+ x (* -3/8 y))
(fma.f64 y #s(literal -3/8 binary64) x)
(+ x (* -3/8 y))
(fma.f64 y #s(literal -3/8 binary64) x)
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
x
(+ x (* -3/8 y))
(fma.f64 y #s(literal -3/8 binary64) x)
(+ x (* -3/8 y))
(fma.f64 y #s(literal -3/8 binary64) x)
(+ x (* -3/8 y))
(fma.f64 y #s(literal -3/8 binary64) x)
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* y (- (/ x y) 3/8))
(fma.f64 y #s(literal -3/8 binary64) x)
(* y (- (/ x y) 3/8))
(fma.f64 y #s(literal -3/8 binary64) x)
(* y (- (/ x y) 3/8))
(fma.f64 y #s(literal -3/8 binary64) x)
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* y (- (/ x y) 3/8))
(fma.f64 y #s(literal -3/8 binary64) x)
(* y (- (/ x y) 3/8))
(fma.f64 y #s(literal -3/8 binary64) x)
(* y (- (/ x y) 3/8))
(fma.f64 y #s(literal -3/8 binary64) x)
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(fma.f64 y #s(literal -3/8 binary64) x)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(fma.f64 y #s(literal -3/8 binary64) x)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(fma.f64 y #s(literal -3/8 binary64) x)
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(fma.f64 y #s(literal -3/8 binary64) x)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(fma.f64 y #s(literal -3/8 binary64) x)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(fma.f64 y #s(literal -3/8 binary64) x)
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(- x (* 3/8 y))
(fma.f64 y #s(literal -3/8 binary64) x)
(- x (* 3/8 y))
(fma.f64 y #s(literal -3/8 binary64) x)
(- x (* 3/8 y))
(fma.f64 y #s(literal -3/8 binary64) x)
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(+ x (* -3/8 y))
(fma.f64 y #s(literal -3/8 binary64) x)
(+ x (* -3/8 y))
(fma.f64 y #s(literal -3/8 binary64) x)
(+ x (* -3/8 y))
(fma.f64 y #s(literal -3/8 binary64) x)
x
(* x (+ 1 (* -3/8 (/ y x))))
(fma.f64 y #s(literal -3/8 binary64) x)
(* x (+ 1 (* -3/8 (/ y x))))
(fma.f64 y #s(literal -3/8 binary64) x)
(* x (+ 1 (* -3/8 (/ y x))))
(fma.f64 y #s(literal -3/8 binary64) x)
x
(* x (+ 1 (* -3/8 (/ y x))))
(fma.f64 y #s(literal -3/8 binary64) x)
(* x (+ 1 (* -3/8 (/ y x))))
(fma.f64 y #s(literal -3/8 binary64) x)
(* x (+ 1 (* -3/8 (/ y x))))
(fma.f64 y #s(literal -3/8 binary64) x)
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(fma.f64 y #s(literal -3/8 binary64) x)
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(fma.f64 y #s(literal -3/8 binary64) x)
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(fma.f64 y #s(literal -3/8 binary64) x)
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(fma.f64 y #s(literal -3/8 binary64) x)
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(fma.f64 y #s(literal -3/8 binary64) x)
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(fma.f64 y #s(literal -3/8 binary64) x)

rewrite179.0ms (6.2%)

Memory

22.5MiB live, 262.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	16
0	14	15
1	43	15
2	318	15
3	3343	15
0	8891	15

Stop Event

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

Counts

3 → 250

Calls

Call 1

Inputs
#s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64)))
(*.f64 y #s(literal -3/8 binary64))
(fma.f64 y #s(literal -3/8 binary64) x)

Outputs
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eval78.0ms (2.7%)

Memory: -13.3MiB live, 71.1MiB allocated
Compiler: Compiled 7 917 to 776 computations (90.2% saved)

prune45.0ms (1.6%)

Memory

-15.0MiB live, 23.8MiB allocated

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	304	0	304
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	304	2	306

Accuracy

100.0%

Counts

306 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y #s(literal -3/8 binary64) x)
✓	48.6%	#s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64)))

Compiler

Compiled 23 to 20 computations (13% saved)

regimes8.0ms (0.3%)

Memory

19.2MiB live, 19.2MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
#s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64)))
(fma.f64 y #s(literal -3/8 binary64) x)
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))

Outputs
(fma.f64 y #s(literal -3/8 binary64) x)

Calls

4 calls:

2.0ms	(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
2.0ms	(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))`
100.0%	1	`(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)`

Compiler

Compiled 14 to 17 computations (-21.4% saved)

regimes6.0ms (0.2%)

Memory

15.2MiB live, 15.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64)))

Outputs
#s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64)))

Calls

4 calls:

1.0ms	(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
1.0ms	(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
48.6%	1	`x`
48.6%	1	`y`
48.6%	1	`(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))`
48.6%	1	`(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)`

Compiler

Compiled 14 to 17 computations (-21.4% saved)

simplify33.0ms (1.1%)

Memory

-28.2MiB live, 51.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	13
1	13	13

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 y #s(literal -3/8 binary64) x)
#s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64)))

Outputs
(fma.f64 y #s(literal -3/8 binary64) x)
#s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64)))
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))

soundness438.0ms (15.3%)

Memory

27.9MiB live, 218.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	138
1	68	138
2	170	138
3	455	138
4	1250	138
5	2475	138
6	3277	138
7	3613	138
8	3909	138
9	4090	138
10	5236	138
11	6032	138
12	6800	138
13	7068	138
14	7848	138
0	8384	120
0	7	9
0	11	9
1	30	9
2	187	9
3	1693	9
0	8663	8

Stop Event

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

Compiler

Compiled 22 to 19 computations (13.6% saved)

preprocess23.0ms (0.8%)

Memory: 14.0MiB live, 51.6MiB allocated
Compiler: Compiled 30 to 26 computations (13.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	16	29
1	44	27
2	88	25
3	163	25
4	239	25
5	257	25
6	263	25
0	7	5
0	11	5
1	18	5
2	28	5
3	37	5
4	49	5
5	67	5
6	102	5
7	130	5
8	166	5
9	190	5
10	204	5
0	204	4

Iter	Nodes	Cost
0	7	13
0	11	13
1	18	13
2	28	13
3	37	13
4	49	13
5	67	13
6	102	13
7	130	13
8	166	13
9	190	13
10	204	13
0	204	12

Iter	Nodes	Cost
0	12	21
0	14	20
1	21	20
2	29	20
3	38	20
4	51	20
5	69	20
6	104	20
7	131	20
8	167	20
9	191	20
10	205	20
0	205	20

Iter	Nodes	Cost
0	16	29
1	44	27
2	88	25
3	163	25
4	239	25
5	257	25
6	263	25
0	7	5
0	11	5
1	18	5
2	28	5
3	37	5
4	49	5
5	67	5
6	102	5
7	130	5
8	166	5
9	190	5
10	204	5
0	204	4

Iter	Nodes	Cost
0	7	13
0	11	13
1	18	13
2	28	13
3	37	13
4	49	13
5	67	13
6	102	13
7	130	13
8	166	13
9	190	13
10	204	13
0	204	12

Iter	Nodes	Cost
0	12	21
0	14	20
1	21	20
2	29	20
3	38	20
4	51	20
5	69	20
6	104	20
7	131	20
8	167	20
9	191	20
10	205	20
0	205	20

start0.0ms (0%)

analyze0.0ms (0%)

sample760.0ms (26.4%)

explain440.0ms (15.3%)

preprocess21.0ms (0.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify110.0ms (3.8%)

localize50.0ms (1.7%)

series4.0ms (0.1%)

simplify177.0ms (6.2%)

rewrite197.0ms (6.9%)

eval30.0ms (1.1%)

prune6.0ms (0.2%)

simplify8.0ms (0.3%)

localize32.0ms (1.1%)

series3.0ms (0.1%)

simplify224.0ms (7.8%)

rewrite179.0ms (6.2%)

eval78.0ms (2.7%)

prune45.0ms (1.6%)

regimes8.0ms (0.3%)

regimes6.0ms (0.2%)

simplify33.0ms (1.1%)

soundness438.0ms (15.3%)

preprocess23.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	16	29
1	44	27
2	88	25
3	163	25
4	239	25
5	257	25
6	263	25
0	7	5
0	11	5
1	18	5
2	28	5
3	37	5
4	49	5
5	67	5
6	102	5
7	130	5
8	166	5
9	190	5
10	204	5
0	204	4

Iter	Nodes	Cost
0	7	13
0	11	13
1	18	13
2	28	13
3	37	13
4	49	13
5	67	13
6	102	13
7	130	13
8	166	13
9	190	13
10	204	13
0	204	12

Iter	Nodes	Cost
0	12	21
0	14	20
1	21	20
2	29	20
3	38	20
4	51	20
5	69	20
6	104	20
7	131	20
8	167	20
9	191	20
10	205	20
0	205	20