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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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)

sample802.0ms (27.7%)

Memory

25.0MiB live, 1 250.6MiB allocated

Samples

458.0ms	7 611×	0	valid
52.0ms	215×	2	valid
16.0ms	276×	1	valid
15.0ms	154×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 324.0ms

ival-div: 122.0ms (37.7% of total)

ival-sub: 119.0ms (36.8% of total)

ival-mult: 55.0ms (17% of total)

adjust: 12.0ms (3.7% of total)

exact: 7.0ms (2.2% of total)

ival-true: 6.0ms (1.9% of total)

ival-assert: 3.0ms (0.9% of total)

Bogosity

explain105.0ms (3.6%)

Memory

-23.7MiB live, 181.3MiB 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

21.0ms	466×	0	valid
2.0ms	28×	1	valid
1.0ms	8×	3	valid
1.0ms	10×	2	valid

Compiler

Compiled 49 to 25 computations (49% saved)

Precisions

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

ival-div: 3.0ms (26.2% of total)

ival-sub: 3.0ms (26.2% of total)

ival-mult: 3.0ms (26.2% of total)

adjust: 1.0ms (8.7% of total)

ival-true: 1.0ms (8.7% of total)

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

exact: 0.0ms (0% of total)

preprocess54.0ms (1.9%)

Memory

10.3MiB live, 46.3MiB allocated

Algorithm

1×	egg-herbie

Rules

128×	`lower-fma.f64`
128×	`lower-fma.f32`
80×	`lower-*.f32`
78×	`lower-*.f64`
48×	`sub-neg`

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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))

Compiler

Compiled 7 to 7 computations (0% saved)

simplify8.0ms (0.3%)

Memory

13.9MiB live, 13.9MiB 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))

Rules

128×	`lower-fma.f64`
128×	`lower-fma.f32`
80×	`lower-*.f32`
78×	`lower-*.f64`
40×	`lower-+.f64`

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

localize123.0ms (4.3%)

Memory

-32.8MiB live, 44.9MiB 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	0.1015625	(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))

Samples

11.0ms	233×	0	valid
1.0ms	14×	1	valid
1.0ms	4×	3	valid
0.0ms	5×	2	valid

Compiler

Compiled 21 to 9 computations (57.1% saved)

Precisions

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

ival-div: 3.0ms (43.1% of total)

ival-sub: 2.0ms (28.7% of total)

ival-mult: 1.0ms (14.4% 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

6.9MiB live, 6.9MiB 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))
0.0ms	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))

simplify355.0ms (12.3%)

Memory

28.4MiB live, 147.2MiB allocated

Algorithm

1×	egg-herbie

Rules

3 160×	`lower-fma.f64`
3 160×	`lower-fma.f32`
2 584×	`lower-*.f64`
2 584×	`lower-*.f32`
2 384×	`lower-/.f32`

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)

rewrite326.0ms (11.3%)

Memory

-33.3MiB live, 372.3MiB allocated

Rules

11 564×	`lower-fma.f64`
11 564×	`lower-fma.f32`
4 300×	`lower-*.f32`
4 298×	`lower-*.f64`
3 918×	`lower-/.f64`

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
#s(literal 3/8 binary64)
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x)) (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 #s(literal -729/262144 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 y #s(literal 3/8 binary64)) x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 y #s(literal 3/8 binary64) x) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (pow.f64 (*.f64 y #s(literal 3/8 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 y #s(literal 3/8 binary64) x) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 81/4096 binary64) (pow.f64 (.f64 (.f64 y #s(literal 3/8 binary64)) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 9/64 binary64) (pow.f64 (.f64 y (fma.f64 y #s(literal 3/8 binary64) x)) #s(literal 2 binary64))))) (fma.f64 x x (.f64 (*.f64 #s(literal -3/8 binary64) y) (fma.f64 y #s(literal 3/8 binary64) x))))
(.f64 (/.f64 (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 27/512 binary64) (pow.f64 (.f64 y (fma.f64 y #s(literal 3/8 binary64) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64))) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (neg.f64 (.f64 x x))) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal -9/64 binary64) (.f64 y y) (.f64 x x)) (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (.f64 y #s(literal 3/8 binary64)) (-.f64 (.f64 y #s(literal 3/8 binary64)) x) (.f64 x x)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 4 binary64))) (fma.f64 y #s(literal 3/8 binary64) x)) (pow.f64 (fma.f64 x x (pow.f64 (*.f64 y #s(literal 3/8 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 6 binary64))) (fma.f64 y #s(literal 3/8 binary64) x)) (pow.f64 (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 81/4096 binary64) (pow.f64 (.f64 (.f64 y #s(literal 3/8 binary64)) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 6 binary64))) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x))) (pow.f64 (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 9 binary64))) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x))) (pow.f64 (+.f64 (fma.f64 #s(literal -729/262144 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 y #s(literal 3/8 binary64)) x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (fma.f64 y #s(literal 3/8 binary64) x))) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 #s(literal 9/64 binary64) y) (/.f64 y (fma.f64 y #s(literal 3/8 binary64) x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (fma.f64 y #s(literal 3/8 binary64) x)) (.f64 (.f64 #s(literal 9/64 binary64) y) (/.f64 y (fma.f64 y #s(literal 3/8 binary64) x))))))
(.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x))) (/.f64 (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (*.f64 x x))))))
(.f64 (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (neg.f64 (*.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal 3/8 binary64) x)))
(.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 y #s(literal 3/8 binary64) x) #s(literal 3 binary64))) (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 9/64 binary64) (fma.f64 y #s(literal 3/8 binary64) x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 x (/.f64 x (fma.f64 y #s(literal 3/8 binary64) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (.f64 #s(literal 9/64 binary64) y) (/.f64 y (fma.f64 y #s(literal 3/8 binary64) x))) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (fma.f64 y #s(literal 3/8 binary64) x))) (.f64 (*.f64 #s(literal 9/64 binary64) y) (/.f64 y (fma.f64 y #s(literal 3/8 binary64) x))))))))
(.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x))) #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 (/.f64 #s(literal 27/512 binary64) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x))) (/.f64 (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (*.f64 x x))))))))
(.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 y #s(literal 3/8 binary64) x)) (.f64 (fma.f64 y #s(literal 3/8 binary64) x) (pow.f64 (*.f64 y #s(literal 3/8 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y #s(literal 3/8 binary64) x) #s(literal 2 binary64))))
(.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x))) (.f64 (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x)) (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x)) #s(literal 2 binary64))))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 2 binary64))) (fma.f64 y #s(literal 3/8 binary64) x))))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y #s(literal 3/8 binary64) x) (fma.f64 x x (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal -1 binary64)))))
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 #s(literal -3/8 binary64) y x)))
(.f64 (pow.f64 (fma.f64 y #s(literal 3/8 binary64) x) #s(literal -1 binary64)) (fma.f64 #s(literal -9/64 binary64) (.f64 y y) (*.f64 x x)))
(.f64 (pow.f64 (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3/8 binary64) y x))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 81/4096 binary64) (pow.f64 (.f64 (*.f64 y #s(literal 3/8 binary64)) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 y #s(literal 3/8 binary64) x))))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (*.f64 x x)))))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y #s(literal 3/8 binary64) x) (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 81/4096 binary64) (pow.f64 (.f64 (*.f64 y #s(literal 3/8 binary64)) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (*.f64 x x)) (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (fma.f64 #s(literal -729/262144 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 y #s(literal 3/8 binary64)) x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (*.f64 x x)))))
(.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x)) (+.f64 (fma.f64 #s(literal -729/262144 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 (*.f64 y #s(literal 3/8 binary64)) x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))))))
(.f64 (neg.f64 (fma.f64 #s(literal -9/64 binary64) (.f64 y y) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal 3/8 binary64) x)))
(.f64 (neg.f64 (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (*.f64 x x))))
(*.f64 (fma.f64 y #s(literal 3/8 binary64) x) (/.f64 (fma.f64 #s(literal -3/8 binary64) y x) (fma.f64 y #s(literal 3/8 binary64) x)))
(.f64 (fma.f64 #s(literal -9/64 binary64) (.f64 y y) (*.f64 x x)) (pow.f64 (fma.f64 y #s(literal 3/8 binary64) x) #s(literal -1 binary64)))
(.f64 (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x)) (/.f64 (fma.f64 #s(literal -3/8 binary64) y x) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (*.f64 x x))))
(.f64 (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (fma.f64 x x (.f64 (.f64 y #s(literal 3/8 binary64)) x)))))
(.f64 (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (-.f64 (.f64 y #s(literal 3/8 binary64)) x) (-.f64 (.f64 y #s(literal 3/8 binary64)) x))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 y #s(literal 3/8 binary64)) x)))
(/.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (fma.f64 y #s(literal 3/8 binary64) x))) #s(literal 2 binary64)) (.f64 (neg.f64 (.f64 (.f64 #s(literal 9/64 binary64) y) (/.f64 y (fma.f64 y #s(literal 3/8 binary64) x)))) (neg.f64 (.f64 (.f64 #s(literal 9/64 binary64) y) (/.f64 y (fma.f64 y #s(literal 3/8 binary64) x)))))) (-.f64 (.f64 x (/.f64 x (fma.f64 y #s(literal 3/8 binary64) x))) (neg.f64 (.f64 (*.f64 #s(literal 9/64 binary64) y) (/.f64 y (fma.f64 y #s(literal 3/8 binary64) x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x))) #s(literal 2 binary64)) (.f64 (neg.f64 (/.f64 (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x)))) (neg.f64 (/.f64 (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x)))))) (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x))) (neg.f64 (/.f64 (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x))))))
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(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (fma.f64 x x (.f64 (.f64 y #s(literal 3/8 binary64)) x)))) (/.f64 (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (fma.f64 x x (.f64 (*.f64 y #s(literal 3/8 binary64)) x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x))) (/.f64 (/.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 6 binary64)) (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (*.f64 x x))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (fma.f64 #s(literal -729/262144 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 y #s(literal 3/8 binary64)) x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x))) (/.f64 (/.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 9 binary64)) (+.f64 (fma.f64 #s(literal -729/262144 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 y #s(literal 3/8 binary64)) x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -3/8 binary64) y) x)) (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal -3/8 binary64) y) x)))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y #s(literal 3/8 binary64)) x))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 #s(literal -3/8 binary64) y x)))
(-.f64 (.f64 x (/.f64 x (fma.f64 y #s(literal 3/8 binary64) x))) (.f64 (*.f64 #s(literal 9/64 binary64) y) (/.f64 y (fma.f64 y #s(literal 3/8 binary64) x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x))) (/.f64 (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (*.f64 x x))))
(-.f64 x (*.f64 y #s(literal 3/8 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (fma.f64 #s(literal -3/8 binary64) y x))
(+.f64 (.f64 x (/.f64 x (fma.f64 y #s(literal 3/8 binary64) x))) (neg.f64 (.f64 (*.f64 #s(literal 9/64 binary64) y) (/.f64 y (fma.f64 y #s(literal 3/8 binary64) x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x))) (neg.f64 (/.f64 (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (*.f64 x x)))))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(.f64 (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y #s(literal 3/8 binary64)) #s(literal 1/2 binary64)))
(*.f64 (exp.f64 (log.f64 #s(literal 3/8 binary64))) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 3/8 binary64))))
(*.f64 (pow.f64 y #s(literal 1 binary64)) #s(literal 3/8 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -3/8 binary64) y))
(.f64 #s(literal 1 binary64) (.f64 y #s(literal 3/8 binary64)))
(*.f64 y #s(literal 3/8 binary64))
(*.f64 #s(literal 3/8 binary64) (pow.f64 y #s(literal 1 binary64)))
(*.f64 #s(literal 3/8 binary64) y)
(pow.f64 (*.f64 y #s(literal 3/8 binary64)) #s(literal 1 binary64))
(/.f64 (.f64 #s(literal -9/64 binary64) (.f64 y y)) (*.f64 #s(literal -3/8 binary64) y))
(/.f64 (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))))
(neg.f64 (*.f64 #s(literal -3/8 binary64) y))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -3/8 binary64) y))
(exp.f64 (.f64 (log.f64 (.f64 y #s(literal 3/8 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 y #s(literal 3/8 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 3/8 binary64)))

eval83.0ms (2.9%)

Memory: -0.9MiB live, 75.8MiB allocated
Compiler: Compiled 7 170 to 605 computations (91.6% saved)

prune5.0ms (0.2%)

Memory

20.5MiB live, 20.5MiB 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)
▶	51.7%	#s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64)))

Compiler

Compiled 8 to 9 computations (-12.5% saved)

simplify9.0ms (0.3%)

Memory

-15.4MiB live, 23.9MiB 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)))

Rules

128×	`lower-fma.f32`
126×	`lower-fma.f64`
80×	`lower-*.f32`
78×	`lower-*.f64`
40×	`lower-+.f64`

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

localize24.0ms (0.8%)

Memory

18.2MiB live, 61.5MiB 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	30.930700992066264	#s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64)))

Samples

14.0ms	233×	0	valid
3.0ms	14×	1	valid
1.0ms	4×	3	valid
1.0ms	5×	2	valid

Compiler

Compiled 22 to 12 computations (45.5% saved)

Precisions

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

ival-add: 3.0ms (30.3% of total)

ival-mult: 3.0ms (30.3% of total)

ival-div: 2.0ms (20.2% of total)

adjust: 1.0ms (10.1% of total)

ival-sub: 1.0ms (10.1% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory

10.1MiB live, 10.1MiB 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>) () ())

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	@	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	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))

simplify188.0ms (6.5%)

Memory

-19.1MiB live, 229.6MiB allocated

Algorithm

1×	egg-herbie

Rules

3 160×	`lower-fma.f64`
3 160×	`lower-fma.f32`
2 584×	`lower-*.f64`
2 584×	`lower-*.f32`
2 384×	`lower-/.f32`

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)

rewrite213.0ms (7.4%)

Memory

11.9MiB live, 288.1MiB allocated

Rules

7 594×	`lower-fma.f32`
7 592×	`lower-fma.f64`
4 122×	`lower-*.f32`
4 120×	`lower-*.f64`
3 844×	`lower-/.f64`

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
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
(.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (.f64 y #s(literal 3/8 binary64)))
(*.f64 (exp.f64 (log.f64 #s(literal -3/8 binary64))) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 #s(literal 3/8 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 3/8 binary64))) (exp.f64 (log.f64 (neg.f64 y))))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal -3/8 binary64))))
(*.f64 (pow.f64 y #s(literal 1 binary64)) #s(literal -3/8 binary64))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal 3/8 binary64))
(*.f64 (neg.f64 y) #s(literal 3/8 binary64))
(.f64 #s(literal -1 binary64) (.f64 y #s(literal 3/8 binary64)))
(*.f64 #s(literal -3/8 binary64) (pow.f64 y #s(literal 1 binary64)))
(*.f64 #s(literal -3/8 binary64) y)
(.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal -1 binary64))
(*.f64 y #s(literal -3/8 binary64))
(*.f64 #s(literal 3/8 binary64) (pow.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 #s(literal 3/8 binary64) (neg.f64 y))
(pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 1 binary64))
(/.f64 (.f64 #s(literal -9/64 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 3/8 binary64))))
(/.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 3 binary64)) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (.f64 #s(literal 0 binary64) (.f64 y #s(literal 3/8 binary64)))))))
(/.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (.f64 #s(literal 0 binary64) (.f64 y #s(literal 3/8 binary64))))))
(/.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 2 binary64)) (neg.f64 (+.f64 #s(literal 0 binary64) (.f64 y #s(literal 3/8 binary64)))))
(neg.f64 (*.f64 y #s(literal 3/8 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (.f64 y #s(literal 3/8 binary64)))) (/.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 3/8 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (.f64 #s(literal 0 binary64) (.f64 y #s(literal 3/8 binary64)))))) (.f64 #s(literal -3/8 binary64) y))
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal 3/8 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -3/8 binary64) y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal -3/8 binary64) y)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -3/8 binary64) y))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (.f64 (fma.f64 y #s(literal 3/8 binary64) x) x)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (.f64 (fma.f64 y #s(literal 3/8 binary64) x) x)) (-.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (.f64 (fma.f64 y #s(literal 3/8 binary64) x) x)) (fma.f64 #s(literal 19683/134217728 binary64) (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 #s(literal -729/262144 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 (*.f64 #s(literal -3/8 binary64) y) x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (.f64 (fma.f64 y #s(literal 3/8 binary64) x) x)) (fma.f64 #s(literal 19683/134217728 binary64) (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -729/262144 binary64) (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (*.f64 #s(literal -3/8 binary64) y) x) #s(literal 3 binary64)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 y #s(literal 3/8 binary64) x) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 y #s(literal 3/8 binary64) x) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 81/4096 binary64) (pow.f64 (.f64 (.f64 #s(literal -3/8 binary64) y) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (.f64 #s(literal -3/8 binary64) y) x) (-.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (.f64 #s(literal -3/8 binary64) y) x) (-.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 81/4096 binary64) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 9/64 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 9/64 binary64) (pow.f64 (.f64 y (fma.f64 y #s(literal 3/8 binary64) x)) #s(literal 2 binary64))))) (fma.f64 x x (.f64 (*.f64 #s(literal -3/8 binary64) y) (fma.f64 y #s(literal 3/8 binary64) x))))
(.f64 (/.f64 (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 27/512 binary64) (pow.f64 (.f64 y (fma.f64 y #s(literal 3/8 binary64) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64))) (-.f64 (.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64))) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
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(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 2 binary64)))) (fma.f64 y #s(literal 3/8 binary64) x)) (/.f64 (/.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 2 binary64)))) (fma.f64 y #s(literal 3/8 binary64) x)))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal -3/8 binary64) y) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal -3/8 binary64) y) x)))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 6 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 81/4096 binary64) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 9/64 binary64) (pow.f64 x #s(literal 4 binary64))))) (-.f64 (.f64 #s(literal -3/8 binary64) y) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 81/4096 binary64) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 9/64 binary64) (pow.f64 x #s(literal 4 binary64))))) (-.f64 (*.f64 #s(literal -3/8 binary64) y) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal -3/8 binary64) y) x)) (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y #s(literal 3/8 binary64) x)) (fma.f64 #s(literal -3/8 binary64) y x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (.f64 (fma.f64 y #s(literal 3/8 binary64) x) x))) (/.f64 (/.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 6 binary64)) (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 y #s(literal 3/8 binary64) x) x))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (fma.f64 #s(literal -729/262144 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 #s(literal -3/8 binary64) y) x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (.f64 (fma.f64 y #s(literal 3/8 binary64) x) x))) (/.f64 (/.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 9 binary64)) (+.f64 (fma.f64 #s(literal -729/262144 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 #s(literal -3/8 binary64) y) x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 y #s(literal 3/8 binary64) x) x))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 6 binary64)) (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (.f64 (fma.f64 y #s(literal 3/8 binary64) x) x))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (neg.f64 (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 y #s(literal 3/8 binary64) x) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y #s(literal 3/8 binary64) x)) (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y #s(literal 3/8 binary64) x)) (fma.f64 #s(literal -3/8 binary64) y x)))
(-.f64 (+.f64 x #s(literal 0 binary64)) (*.f64 y #s(literal 3/8 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y #s(literal 3/8 binary64)) x))
(-.f64 (.f64 x (/.f64 x (fma.f64 y #s(literal 3/8 binary64) x))) (.f64 (*.f64 #s(literal 9/64 binary64) y) (/.f64 y (fma.f64 y #s(literal 3/8 binary64) x))))
(-.f64 (.f64 (.f64 y y) (/.f64 #s(literal -9/64 binary64) (fma.f64 y #s(literal 3/8 binary64) x))) (.f64 x (/.f64 x (-.f64 (.f64 #s(literal -3/8 binary64) y) x))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (.f64 (fma.f64 y #s(literal 3/8 binary64) x) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 y #s(literal 3/8 binary64) x) x)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (.f64 (fma.f64 y #s(literal 3/8 binary64) x) x))) (/.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 y #s(literal 3/8 binary64) x) x))))
(-.f64 x (*.f64 y #s(literal 3/8 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 x (/.f64 x (fma.f64 y #s(literal 3/8 binary64) x))) (neg.f64 (.f64 (*.f64 #s(literal 9/64 binary64) y) (/.f64 y (fma.f64 y #s(literal 3/8 binary64) x)))))
(+.f64 (.f64 (.f64 y y) (/.f64 #s(literal -9/64 binary64) (fma.f64 y #s(literal 3/8 binary64) x))) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 #s(literal -3/8 binary64) y) x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (.f64 (fma.f64 y #s(literal 3/8 binary64) x) x))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 y #s(literal 3/8 binary64) x) x)))))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))

eval39.0ms (1.3%)

Memory: -25.6MiB live, 94.7MiB allocated
Compiler: Compiled 7 917 to 776 computations (90.2% saved)

prune10.0ms (0.3%)

Memory

-5.8MiB live, 33.5MiB 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)
✓	51.7%	#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

14.9MiB live, 14.9MiB 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 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
2.0ms	y
2.0ms	(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
2.0ms	x

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)

regimes5.0ms (0.2%)

Memory

11.1MiB live, 11.1MiB 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	x
1.0ms	y

Results

Accuracy	Segments	Branch
51.7%	1	`x`
51.7%	1	`y`
51.7%	1	`(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))`
51.7%	1	`(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)`

Compiler

Compiled 14 to 17 computations (-21.4% saved)

simplify31.0ms (1.1%)

Memory

0.7MiB live, 39.1MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`-commutative-binary64-.f64`

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))

soundness448.0ms (15.5%)

Memory

-15.6MiB live, 173.1MiB allocated

Rules

11 564×	`lower-fma.f64`
11 564×	`lower-fma.f32`
4 300×	`lower-*.f32`
4 298×	`lower-*.f64`
3 918×	`lower-/.f64`

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)

preprocess50.0ms (1.7%)

Memory: 9.4MiB live, 98.6MiB 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%)

sample802.0ms (27.7%)

explain105.0ms (3.6%)

preprocess54.0ms (1.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify8.0ms (0.3%)

localize123.0ms (4.3%)

series4.0ms (0.1%)

simplify355.0ms (12.3%)

rewrite326.0ms (11.3%)

eval83.0ms (2.9%)

prune5.0ms (0.2%)

simplify9.0ms (0.3%)

localize24.0ms (0.8%)

series3.0ms (0.1%)

simplify188.0ms (6.5%)

rewrite213.0ms (7.4%)

eval39.0ms (1.3%)

prune10.0ms (0.3%)

regimes8.0ms (0.3%)

regimes5.0ms (0.2%)

simplify31.0ms (1.1%)

soundness448.0ms (15.5%)

preprocess50.0ms (1.7%)

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