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

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)

sample747.0ms (22.6%)

Memory

18.9MiB live, 1 166.6MiB allocated

Samples

316.0ms	7 603×	0	valid
149.0ms	195×	2	valid
24.0ms	308×	1	valid
18.0ms	150×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 277.0ms

ival-div: 157.0ms (56.6% of total)

ival-mult: 54.0ms (19.5% of total)

ival-sub: 43.0ms (15.5% of total)

adjust: 8.0ms (2.9% of total)

exact: 7.0ms (2.5% of total)

ival-true: 5.0ms (1.8% of total)

ival-assert: 3.0ms (1.1% of total)

Bogosity

preprocess60.0ms (1.8%)

Memory

9.0MiB live, 47.7MiB 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 y #s(literal -3/8 binary64) x)

explain99.0ms (3%)

Memory

-12.5MiB live, 147.5MiB 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

25.0ms	478×	0	valid
2.0ms	20×	1	valid
1.0ms	10×	2	valid
1.0ms	4×	3	valid

Compiler

Compiled 60 to 32 computations (46.7% saved)

Precisions

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

ival-div: 3.0ms (27.8% of total)

ival-mult: 3.0ms (27.8% of total)

ival-sub: 3.0ms (27.8% 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)

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB 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 9 to 7 computations (22.2% saved)

simplify11.0ms (0.3%)

Memory

27.7MiB live, 27.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	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 y #s(literal -3/8 binary64) x)
x
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
(*.f64 #s(literal 3/8 binary64) y)
(/.f64 #s(literal 3 binary64) #s(literal 8 binary64))
#s(literal 3/8 binary64)
#s(literal 3 binary64)
#s(literal 8 binary64)
y

localize26.0ms (0.8%)

Memory

-36.1MiB live, 50.8MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 3 binary64) #s(literal 8 binary64))
✓	accuracy	100.0%	(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
✓	accuracy	99.9%	(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))

Samples

14.0ms	239×	0	valid
1.0ms	10×	1	valid
0.0ms	5×	2	valid
0.0ms	2×	3	valid

Compiler

Compiled 21 to 9 computations (57.1% saved)

Precisions

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

ival-div: 2.0ms (37.9% of total)

ival-mult: 2.0ms (37.9% of total)

ival-sub: 1.0ms (18.9% 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)

series2.0ms (0.1%)

Memory

4.7MiB live, 4.7MiB allocated

Counts

3 → 36

Calls

Call 1

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

Inputs

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

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

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

Outputs
#<alt (* -3/8 y)>
#<alt (- x (* 3/8 y))>
#<alt (- x (* 3/8 y))>
#<alt (- x (* 3/8 y))>
#<alt x>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt x>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (* -3/8 y)>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* -3/8 y)>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>

Calls

9 calls:

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

rewrite436.0ms (13.2%)

Memory

-18.8MiB live, 869.8MiB allocated

Algorithm

1×	batch-egg-rewrite

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

simplify291.0ms (8.8%)

Memory

16.8MiB live, 330.3MiB 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	2461	138
6	3264	138
7	3600	138
8	3896	138
9	4079	138
10	5224	138
11	6020	138
12	6788	138
13	7056	138
14	7836	138
0	8372	120

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 33

Calls

Call 1

Inputs
(* -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)))
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)
(* -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)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)

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

eval46.0ms (1.4%)

Memory: 16.3MiB live, 53.1MiB allocated
Compiler: Compiled 9 951 to 595 computations (94% saved)

prune74.0ms (2.2%)

Memory

-20.3MiB live, 70.4MiB 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)
▶	51.1%	(*.f64 #s(literal -3/8 binary64) y)

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify5.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

4×	`lower-+.f64`
4×	`lower-fma.f32`
4×	`lower-*.f32`
4×	`lower-+.f32`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	12
0	8	12
1	9	12
0	9	12

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize21.0ms (0.6%)

Memory

5.4MiB live, 42.1MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 y #s(literal -3/8 binary64) x)
✓	accuracy	100.0%	(*.f64 #s(literal -3/8 binary64) y)

Samples

13.0ms	239×	0	valid
1.0ms	10×	1	valid
1.0ms	5×	2	valid
0.0ms	2×	3	valid

Compiler

Compiled 15 to 8 computations (46.7% saved)

Precisions

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

ival-mult: 6.0ms (80.7% of total)

ival-add: 1.0ms (13.4% 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)

series1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Counts

2 → 36

Calls

Call 1

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

Outputs
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt x>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (* -3/8 y)>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* -3/8 y)>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -3/8 y)>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt x>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>

Calls

9 calls:

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

rewrite599.0ms (18.1%)

Memory

19.6MiB live, 688.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

18 200×	`lower-fma.f32`
18 198×	`lower-fma.f64`
4 320×	`lower-*.f32`
4 318×	`lower-*.f64`
3 924×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
0	8	7
1	22	7
2	154	7
3	1501	7
0	8293	7

Stop Event

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

Counts

2 → 221

Calls

Call 1

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

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

simplify332.0ms (10%)

Memory

-0.1MiB live, 470.4MiB allocated

Algorithm

1×	egg-herbie

Rules

6 592×	`lower-fma.f64`
6 592×	`lower-fma.f32`
4 288×	`lower-*.f64`
4 288×	`lower-*.f32`
3 864×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	138
1	64	138
2	170	138
3	432	138
4	1142	138
5	2543	138
6	3406	138
7	3873	138
8	4282	138
9	4477	138
10	4581	138
11	5299	138
12	5631	138
13	5639	138
14	5639	138
15	5639	138
0	10079	120

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 33

Calls

Call 1

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

eval32.0ms (1%)

Memory: -23.3MiB live, 67.7MiB allocated
Compiler: Compiled 8 122 to 522 computations (93.6% saved)

prune31.0ms (0.9%)

Memory

7.5MiB live, 82.5MiB allocated

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	254	0	254
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	254	2	256

Accuracy

100.0%

Counts

256 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y #s(literal -3/8 binary64) x)
✓	51.1%	(*.f64 #s(literal -3/8 binary64) y)

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes11.0ms (0.3%)

Memory

-19.8MiB live, 24.9MiB allocated

Counts

3 → 1

Calls

Call 1

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

5.0ms	x
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	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 22 to 17 computations (22.7% saved)

regimes6.0ms (0.2%)

Memory

17.1MiB live, 17.1MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

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
51.1%	1	`x`
51.1%	1	`y`
51.1%	1	`(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))`
51.1%	1	`(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)`

Compiler

Compiled 22 to 17 computations (22.7% saved)

simplify6.0ms (0.2%)

Memory

15.2MiB live, 15.2MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	6	7

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness450.0ms (13.6%)

Memory

-3.1MiB live, 184.2MiB 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	2461	138
6	3264	138
7	3600	138
8	3896	138
9	4079	138
10	5224	138
11	6020	138
12	6788	138
13	7056	138
14	7836	138
0	8372	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 20 to 13 computations (35% saved)

preprocess21.0ms (0.6%)

Memory: 18.4MiB live, 56.7MiB allocated
Compiler: Compiled 36 to 24 computations (33.3% 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	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

analyze0.0ms (0%)

sample747.0ms (22.6%)

preprocess60.0ms (1.8%)

explain99.0ms (3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify11.0ms (0.3%)

localize26.0ms (0.8%)

series2.0ms (0.1%)

rewrite436.0ms (13.2%)

simplify291.0ms (8.8%)

eval46.0ms (1.4%)

prune74.0ms (2.2%)

simplify5.0ms (0.1%)

localize21.0ms (0.6%)

series1.0ms (0%)

rewrite599.0ms (18.1%)

simplify332.0ms (10%)

eval32.0ms (1%)

prune31.0ms (0.9%)

regimes11.0ms (0.3%)

regimes6.0ms (0.2%)

simplify6.0ms (0.2%)

soundness450.0ms (13.6%)

preprocess21.0ms (0.6%)

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