Metrics for Diagrams.Solve.Polynomial:quadForm 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)

sample720.0ms (27%)

Memory

9.0MiB live, 985.7MiB allocated

Samples

472.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 204.0ms

ival-mult: 140.0ms (68.6% of total)

ival-sub: 50.0ms (24.5% of total)

ival-true: 6.0ms (2.9% of total)

exact: 4.0ms (2% of total)

ival-assert: 3.0ms (1.5% of total)

Bogosity

explain72.0ms (2.7%)

Memory

-8.8MiB live, 147.5MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`y`
-	-	`(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))`
-	-	`(*.f64 y #s(literal 4 binary64))`
-	-	`#s(literal 4 binary64)`
-	-	`z`
-	-	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
-	-	`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

24.0ms

512×

valid

Compiler

Compiled 49 to 25 computations (49% saved)

Precisions

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

ival-mult: 7.0ms (69.2% of total)

ival-sub: 2.0ms (19.8% of total)

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

exact: 0.0ms (0% of total)

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

preprocess48.0ms (1.8%)

Memory

36.4MiB live, 74.8MiB allocated

Algorithm

1×	egg-herbie

Rules

304×	`lower-fma.f64`
304×	`lower-fma.f32`
224×	`lower-*.f32`
220×	`lower-*.f64`
184×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	69
1	92	66
2	241	63
3	559	63
4	904	63
5	998	63
6	1012	63
7	1012	63
8	1012	63
0	7	7
0	10	7
1	19	7
2	49	7
3	99	7
4	131	7
5	170	7
6	221	7
7	263	7
8	348	7
9	400	7
10	430	7
0	430	6

Stop Event

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

Calls

Call 1

Inputs
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))

Outputs
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)

Symmetry

(sort y z)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))

Compiler

Compiled 7 to 7 computations (0% saved)

simplify18.0ms (0.7%)

Memory

-25.5MiB live, 12.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y #s(literal 4 binary64))
cost-diff	0	(.f64 (.f64 y #s(literal 4 binary64)) z)
cost-diff	128	(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))

Rules

304×	`lower-fma.f64`
304×	`lower-fma.f32`
224×	`lower-*.f32`
220×	`lower-*.f64`
90×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
0	10	19
1	19	19
2	49	19
3	99	19
4	131	19
5	170	19
6	221	19
7	263	19
8	348	19
9	400	19
10	430	19
0	430	18

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
x
(.f64 (.f64 y #s(literal 4 binary64)) z)
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
z

Outputs
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
x
(.f64 (.f64 y #s(literal 4 binary64)) z)
(.f64 z (.f64 #s(literal 4 binary64) y))
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)
y
#s(literal 4 binary64)
z

localize35.0ms (1.3%)

Memory

-17.7MiB live, 41.6MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(.f64 (.f64 y #s(literal 4 binary64)) z)
accuracy	0	(*.f64 y #s(literal 4 binary64))
accuracy	0.00390625	(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))

Samples

28.0ms

256×

valid

Compiler

Compiled 21 to 9 computations (57.1% saved)

Precisions

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

ival-mult: 3.0ms (61.9% of total)

ival-sub: 1.0ms (20.6% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.3%)

Memory

19.9MiB live, 19.9MiB allocated

Counts

3 → 72

Calls

Call 1

Inputs
#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 y #s(literal 4 binary64)) z) (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())
#s(alt (.f64 y #s(literal 4 binary64)) (patch (.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())

Inputs

#s(alt (-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())

#s(alt (*.f64 (*.f64 y #s(literal 4 binary64)) z) (patch (*.f64 (*.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())

#s(alt (*.f64 y #s(literal 4 binary64)) (patch (*.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 z) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -4 (* y z))) (taylor 0 z) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -4 (* y z))) (taylor 0 z) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -4 (* y z))) (taylor 0 z) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* 4 (* y z)) (taylor 0 z) (#s(alt (.f64 (.f64 y #s(literal 4 binary64)) z) (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 4 (* y z)) (taylor 0 z) (#s(alt (.f64 (.f64 y #s(literal 4 binary64)) z) (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 4 (* y z)) (taylor 0 z) (#s(alt (.f64 (.f64 y #s(literal 4 binary64)) z) (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 4 (* y z)) (taylor 0 z) (#s(alt (.f64 (.f64 y #s(literal 4 binary64)) z) (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* -4 (* y z)) (taylor inf z) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ x z) (* 4 y))) (taylor inf z) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ x z) (* 4 y))) (taylor inf z) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ x z) (* 4 y))) (taylor inf z) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* 4 (* y z)) (taylor inf z) (#s(alt (.f64 (.f64 y #s(literal 4 binary64)) z) (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 4 (* y z)) (taylor inf z) (#s(alt (.f64 (.f64 y #s(literal 4 binary64)) z) (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 4 (* y z)) (taylor inf z) (#s(alt (.f64 (.f64 y #s(literal 4 binary64)) z) (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 4 (* y z)) (taylor inf z) (#s(alt (.f64 (.f64 y #s(literal 4 binary64)) z) (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* -4 (* y z)) (taylor -inf z) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ x z)) (* -4 y)))) (taylor -inf z) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ x z)) (* -4 y)))) (taylor -inf z) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ x z)) (* -4 y)))) (taylor -inf z) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* 4 (* y z)) (taylor -inf z) (#s(alt (.f64 (.f64 y #s(literal 4 binary64)) z) (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 4 (* y z)) (taylor -inf z) (#s(alt (.f64 (.f64 y #s(literal 4 binary64)) z) (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 4 (* y z)) (taylor -inf z) (#s(alt (.f64 (.f64 y #s(literal 4 binary64)) z) (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 4 (* y z)) (taylor -inf z) (#s(alt (.f64 (.f64 y #s(literal 4 binary64)) z) (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -4 (* y z))) (taylor 0 y) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -4 (* y z))) (taylor 0 y) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -4 (* y z))) (taylor 0 y) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* 4 (* y z)) (taylor 0 y) (#s(alt (.f64 (.f64 y #s(literal 4 binary64)) z) (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 4 (* y z)) (taylor 0 y) (#s(alt (.f64 (.f64 y #s(literal 4 binary64)) z) (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 4 (* y z)) (taylor 0 y) (#s(alt (.f64 (.f64 y #s(literal 4 binary64)) z) (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 4 (* y z)) (taylor 0 y) (#s(alt (.f64 (.f64 y #s(literal 4 binary64)) z) (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 4 binary64)) (patch (.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 4 binary64)) (patch (.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 4 binary64)) (patch (.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 4 binary64)) (patch (.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -4 (* y z)) (taylor inf y) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) (* 4 z))) (taylor inf y) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) (* 4 z))) (taylor inf y) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) (* 4 z))) (taylor inf y) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* 4 (* y z)) (taylor inf y) (#s(alt (.f64 (.f64 y #s(literal 4 binary64)) z) (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 4 (* y z)) (taylor inf y) (#s(alt (.f64 (.f64 y #s(literal 4 binary64)) z) (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 4 (* y z)) (taylor inf y) (#s(alt (.f64 (.f64 y #s(literal 4 binary64)) z) (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 4 (* y z)) (taylor inf y) (#s(alt (.f64 (.f64 y #s(literal 4 binary64)) z) (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor inf y) (#s(alt (.f64 y #s(literal 4 binary64)) (patch (.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor inf y) (#s(alt (.f64 y #s(literal 4 binary64)) (patch (.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor inf y) (#s(alt (.f64 y #s(literal 4 binary64)) (patch (.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor inf y) (#s(alt (.f64 y #s(literal 4 binary64)) (patch (.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -4 (* y z)) (taylor -inf y) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) (* -4 z)))) (taylor -inf y) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) (* -4 z)))) (taylor -inf y) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) (* -4 z)))) (taylor -inf y) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* 4 (* y z)) (taylor -inf y) (#s(alt (.f64 (.f64 y #s(literal 4 binary64)) z) (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 4 (* y z)) (taylor -inf y) (#s(alt (.f64 (.f64 y #s(literal 4 binary64)) z) (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 4 (* y z)) (taylor -inf y) (#s(alt (.f64 (.f64 y #s(literal 4 binary64)) z) (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 4 (* y z)) (taylor -inf y) (#s(alt (.f64 (.f64 y #s(literal 4 binary64)) z) (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor -inf y) (#s(alt (.f64 y #s(literal 4 binary64)) (patch (.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor -inf y) (#s(alt (.f64 y #s(literal 4 binary64)) (patch (.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor -inf y) (#s(alt (.f64 y #s(literal 4 binary64)) (patch (.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor -inf y) (#s(alt (.f64 y #s(literal 4 binary64)) (patch (.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -4 (* y z)) (taylor 0 x) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (- x (* 4 (* y z))) (taylor 0 x) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (- x (* 4 (* y z))) (taylor 0 x) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (- x (* 4 (* y z))) (taylor 0 x) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -4 (/ (* y z) x)))) (taylor inf x) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -4 (/ (* y z) x)))) (taylor inf x) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -4 (/ (* y z) x)))) (taylor inf x) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (/ (* y z) x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (/ (* y z) x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (/ (* y z) x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	((- x (* (* y 4) z)) (* (* y 4) z) (* y 4))
1.0ms	y	@	0	((- x (* (* y 4) z)) (* (* y 4) z) (* y 4))
1.0ms	y	@	inf	((- x (* (* y 4) z)) (* (* y 4) z) (* y 4))
1.0ms	z	@	inf	((- x (* (* y 4) z)) (* (* y 4) z) (* y 4))
1.0ms	z	@	0	((- x (* (* y 4) z)) (* (* y 4) z) (* y 4))

simplify198.0ms (7.4%)

Memory

0.8MiB live, 194.5MiB allocated

Algorithm

1×	egg-herbie

Rules

18 304×	`lower-fma.f64`
18 304×	`lower-fma.f32`
3 504×	`lower-/.f32`
3 504×	`lower-/.f64`
2 460×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	374
1	105	374
2	262	374
3	894	374
4	2564	374
5	4474	374
6	5491	374
7	5869	374
8	6083	374
9	6195	374
10	6237	374
0	8299	347

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 68

Calls

Call 1

Inputs
x
(+ x (* -4 (* y z)))
(+ x (* -4 (* y z)))
(+ x (* -4 (* y z)))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* -4 (* y z))
(* z (- (/ x z) (* 4 y)))
(* z (- (/ x z) (* 4 y)))
(* z (- (/ x z) (* 4 y)))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* -4 (* y z))
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
x
(+ x (* -4 (* y z)))
(+ x (* -4 (* y z)))
(+ x (* -4 (* y z)))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* -4 (* y z))
(* y (- (/ x y) (* 4 z)))
(* y (- (/ x y) (* 4 z)))
(* y (- (/ x y) (* 4 z)))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* -4 (* y z))
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* -4 (* y z))
(- x (* 4 (* y z)))
(- x (* 4 (* y z)))
(- x (* 4 (* y z)))
x
(* x (+ 1 (* -4 (/ (* y z) x))))
(* x (+ 1 (* -4 (/ (* y z) x))))
(* x (+ 1 (* -4 (/ (* y z) x))))
x
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))

Outputs
x
(+ x (* -4 (* y z)))
(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
(+ x (* -4 (* y z)))
(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
(+ x (* -4 (* y z)))
(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
(* 4 (* y z))
(.f64 #s(literal 4 binary64) (.f64 z y))
(* 4 (* y z))
(.f64 #s(literal 4 binary64) (.f64 z y))
(* 4 (* y z))
(.f64 #s(literal 4 binary64) (.f64 z y))
(* 4 (* y z))
(.f64 #s(literal 4 binary64) (.f64 z y))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* z (- (/ x z) (* 4 y)))
(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
(* z (- (/ x z) (* 4 y)))
(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
(* z (- (/ x z) (* 4 y)))
(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
(* 4 (* y z))
(.f64 #s(literal 4 binary64) (.f64 z y))
(* 4 (* y z))
(.f64 #s(literal 4 binary64) (.f64 z y))
(* 4 (* y z))
(.f64 #s(literal 4 binary64) (.f64 z y))
(* 4 (* y z))
(.f64 #s(literal 4 binary64) (.f64 z y))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))
(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))
(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))
(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
(* 4 (* y z))
(.f64 #s(literal 4 binary64) (.f64 z y))
(* 4 (* y z))
(.f64 #s(literal 4 binary64) (.f64 z y))
(* 4 (* y z))
(.f64 #s(literal 4 binary64) (.f64 z y))
(* 4 (* y z))
(.f64 #s(literal 4 binary64) (.f64 z y))
x
(+ x (* -4 (* y z)))
(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
(+ x (* -4 (* y z)))
(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
(+ x (* -4 (* y z)))
(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
(* 4 (* y z))
(.f64 #s(literal 4 binary64) (.f64 z y))
(* 4 (* y z))
(.f64 #s(literal 4 binary64) (.f64 z y))
(* 4 (* y z))
(.f64 #s(literal 4 binary64) (.f64 z y))
(* 4 (* y z))
(.f64 #s(literal 4 binary64) (.f64 z y))
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* y (- (/ x y) (* 4 z)))
(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
(* y (- (/ x y) (* 4 z)))
(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
(* y (- (/ x y) (* 4 z)))
(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
(* 4 (* y z))
(.f64 #s(literal 4 binary64) (.f64 z y))
(* 4 (* y z))
(.f64 #s(literal 4 binary64) (.f64 z y))
(* 4 (* y z))
(.f64 #s(literal 4 binary64) (.f64 z y))
(* 4 (* y z))
(.f64 #s(literal 4 binary64) (.f64 z y))
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
(* 4 (* y z))
(.f64 #s(literal 4 binary64) (.f64 z y))
(* 4 (* y z))
(.f64 #s(literal 4 binary64) (.f64 z y))
(* 4 (* y z))
(.f64 #s(literal 4 binary64) (.f64 z y))
(* 4 (* y z))
(.f64 #s(literal 4 binary64) (.f64 z y))
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(- x (* 4 (* y z)))
(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
(- x (* 4 (* y z)))
(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
(- x (* 4 (* y z)))
(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
x
(* x (+ 1 (* -4 (/ (* y z) x))))
(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
(* x (+ 1 (* -4 (/ (* y z) x))))
(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
(* x (+ 1 (* -4 (/ (* y z) x))))
(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
x
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)

rewrite275.0ms (10.3%)

Memory

13.7MiB live, 327.7MiB allocated

Rules

12 604×	`lower-fma.f64`
12 604×	`lower-fma.f32`
4 454×	`lower-*.f32`
4 450×	`lower-*.f64`
3 450×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
0	10	15
1	32	15
2	219	15
3	2118	15
0	8340	14

Stop Event

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

Counts

3 → 207

Calls

Call 1

Inputs
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
(.f64 (.f64 y #s(literal 4 binary64)) z)
(*.f64 y #s(literal 4 binary64))

Outputs
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eval37.0ms (1.4%)

Memory: -20.2MiB live, 56.0MiB allocated
Compiler: Compiled 8 646 to 640 computations (92.6% saved)

prune6.0ms (0.2%)

Memory

17.4MiB live, 17.4MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	273	2	275
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	274	2	276

Accuracy

100.0%

Counts

276 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
▶	51.6%	#s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))

Compiler

Compiled 12 to 13 computations (-8.3% saved)

simplify63.0ms (2.4%)

Memory

-3.8MiB live, 47.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 #s(literal -4 binary64) z)
cost-diff	0	(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
cost-diff	0	(*.f64 z y)
cost-diff	0	(.f64 (.f64 z y) #s(literal -4 binary64))
cost-diff	0	#s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))

Rules

304×	`lower-fma.f32`
302×	`lower-fma.f64`
224×	`lower-*.f32`
218×	`lower-*.f64`
86×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	37
0	18	37
1	35	36
2	62	36
3	101	36
4	134	36
5	173	36
6	224	36
7	268	36
8	353	36
9	405	36
10	435	36
0	435	36

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))
(.f64 (.f64 z y) #s(literal -4 binary64))
(*.f64 z y)
z
y
#s(literal -4 binary64)
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(*.f64 #s(literal -4 binary64) z)
#s(literal -4 binary64)
z
y
x

Outputs
#s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))
#s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y))
(.f64 (.f64 z y) #s(literal -4 binary64))
(.f64 (.f64 #s(literal -4 binary64) z) y)
(*.f64 z y)
z
y
#s(literal -4 binary64)
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(*.f64 #s(literal -4 binary64) z)
#s(literal -4 binary64)
z
y
x

localize33.0ms (1.2%)

Memory

-18.9MiB live, 55.1MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
accuracy	0	(*.f64 #s(literal -4 binary64) z)
accuracy	0	(.f64 (.f64 z y) #s(literal -4 binary64))
accuracy	0	(*.f64 z y)
accuracy	30.984574685584604	#s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))

Samples

25.0ms

256×

valid

Compiler

Compiled 34 to 15 computations (55.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 9.0ms (73.5% of total)

ival-sub: 1.0ms (8.2% of total)

ival-add: 1.0ms (8.2% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.3%)

Memory

16.2MiB live, 16.2MiB allocated

Counts

5 → 132

Calls

Call 1

Inputs
#s(alt #s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64))) (patch #s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 z y) #s(literal -4 binary64)) (patch (.f64 (.f64 z y) #s(literal -4 binary64)) #<representation binary64>) () ())
#s(alt (.f64 z y) (patch (.f64 z y) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 #s(literal -4 binary64) z) y x) (patch (fma.f64 (.f64 #s(literal -4 binary64) z) y x) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -4 binary64) z) (patch (.f64 #s(literal -4 binary64) z) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 z) (#s(alt #s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64))) (patch #s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -4 (* y z))) (taylor 0 z) (#s(alt #s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64))) (patch #s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -4 (* y z))) (taylor 0 z) (#s(alt #s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64))) (patch #s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -4 (* y z))) (taylor 0 z) (#s(alt #s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64))) (patch #s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -4 (* y z)) (taylor 0 z) (#s(alt (.f64 (.f64 z y) #s(literal -4 binary64)) (patch (.f64 (.f64 z y) #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -4 (* y z)) (taylor 0 z) (#s(alt (.f64 (.f64 z y) #s(literal -4 binary64)) (patch (.f64 (.f64 z y) #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -4 (* y z)) (taylor 0 z) (#s(alt (.f64 (.f64 z y) #s(literal -4 binary64)) (patch (.f64 (.f64 z y) #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -4 (* y z)) (taylor 0 z) (#s(alt (.f64 (.f64 z y) #s(literal -4 binary64)) (patch (.f64 (.f64 z y) #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (.f64 z y) (patch (.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (.f64 z y) (patch (.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (.f64 z y) (patch (.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (.f64 z y) (patch (.f64 z y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (fma.f64 (.f64 #s(literal -4 binary64) z) y x) (patch (fma.f64 (.f64 #s(literal -4 binary64) z) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -4 (* y z))) (taylor 0 z) (#s(alt (fma.f64 (.f64 #s(literal -4 binary64) z) y x) (patch (fma.f64 (.f64 #s(literal -4 binary64) z) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -4 (* y z))) (taylor 0 z) (#s(alt (fma.f64 (.f64 #s(literal -4 binary64) z) y x) (patch (fma.f64 (.f64 #s(literal -4 binary64) z) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -4 (* y z))) (taylor 0 z) (#s(alt (fma.f64 (.f64 #s(literal -4 binary64) z) y x) (patch (fma.f64 (.f64 #s(literal -4 binary64) z) y x) #<representation binary64>) () ())) ())
#s(alt (* -4 z) (taylor 0 z) (#s(alt (.f64 #s(literal -4 binary64) z) (patch (.f64 #s(literal -4 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -4 z) (taylor 0 z) (#s(alt (.f64 #s(literal -4 binary64) z) (patch (.f64 #s(literal -4 binary64) z) #<representation binary64>) () ())) ())
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#s(alt (* x (+ 1 (* -4 (/ (* y z) x)))) (taylor inf x) (#s(alt (fma.f64 (.f64 #s(literal -4 binary64) z) y x) (patch (fma.f64 (.f64 #s(literal -4 binary64) z) y x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64))) (patch #s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (/ (* y z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64))) (patch #s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (/ (* y z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64))) (patch #s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (/ (* y z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64))) (patch #s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 (.f64 #s(literal -4 binary64) z) y x) (patch (fma.f64 (.f64 #s(literal -4 binary64) z) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (/ (* y z) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 #s(literal -4 binary64) z) y x) (patch (fma.f64 (.f64 #s(literal -4 binary64) z) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (/ (* y z) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 #s(literal -4 binary64) z) y x) (patch (fma.f64 (.f64 #s(literal -4 binary64) z) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (/ (* y z) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 #s(literal -4 binary64) z) y x) (patch (fma.f64 (.f64 #s(literal -4 binary64) z) y x) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	-inf	((- x (* (* y 4) z)) (* (* z y) -4) (* z y) (+ (* (* -4 z) y) x) (* -4 z))
1.0ms	z	@	0	((- x (* (* y 4) z)) (* (* z y) -4) (* z y) (+ (* (* -4 z) y) x) (* -4 z))
1.0ms	z	@	inf	((- x (* (* y 4) z)) (* (* z y) -4) (* z y) (+ (* (* -4 z) y) x) (* -4 z))
1.0ms	y	@	-inf	((- x (* (* y 4) z)) (* (* z y) -4) (* z y) (+ (* (* -4 z) y) x) (* -4 z))
1.0ms	y	@	inf	((- x (* (* y 4) z)) (* (* z y) -4) (* z y) (+ (* (* -4 z) y) x) (* -4 z))

simplify96.0ms (3.6%)

Memory

-19.9MiB live, 100.3MiB allocated

Algorithm

1×	egg-herbie

Rules

3 122×	`lower-fma.f64`
3 122×	`lower-fma.f32`
2 220×	`lower-*.f64`
2 220×	`lower-*.f32`
1 534×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	664
1	143	664
2	369	664
3	1010	664
4	2673	664
5	5459	664
6	7583	664
0	8102	610

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 124

Calls

Call 1

Inputs
x
(+ x (* -4 (* y z)))
(+ x (* -4 (* y z)))
(+ x (* -4 (* y z)))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* y z)
(* y z)
(* y z)
(* y z)
x
(+ x (* -4 (* y z)))
(+ x (* -4 (* y z)))
(+ x (* -4 (* y z)))
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 (* y z))
(* z (- (/ x z) (* 4 y)))
(* z (- (/ x z) (* 4 y)))
(* z (- (/ x z) (* 4 y)))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* y z)
(* y z)
(* y z)
(* y z)
(* -4 (* y z))
(* z (+ (* -4 y) (/ x z)))
(* z (+ (* -4 y) (/ x z)))
(* z (+ (* -4 y) (/ x z)))
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 (* y z))
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* y z)
(* y z)
(* y z)
(* y z)
(* -4 (* y z))
(* -1 (* z (+ (* -1 (/ x z)) (* 4 y))))
(* -1 (* z (+ (* -1 (/ x z)) (* 4 y))))
(* -1 (* z (+ (* -1 (/ x z)) (* 4 y))))
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)
x
(+ x (* -4 (* y z)))
(+ x (* -4 (* y z)))
(+ x (* -4 (* y z)))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* y z)
(* y z)
(* y z)
(* y z)
x
(+ x (* -4 (* y z)))
(+ x (* -4 (* y z)))
(+ x (* -4 (* y z)))
(* -4 (* y z))
(* y (- (/ x y) (* 4 z)))
(* y (- (/ x y) (* 4 z)))
(* y (- (/ x y) (* 4 z)))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* y z)
(* y z)
(* y z)
(* y z)
(* -4 (* y z))
(* y (+ (* -4 z) (/ x y)))
(* y (+ (* -4 z) (/ x y)))
(* y (+ (* -4 z) (/ x y)))
(* -4 (* y z))
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* y z)
(* y z)
(* y z)
(* y z)
(* -4 (* y z))
(* -1 (* y (+ (* -1 (/ x y)) (* 4 z))))
(* -1 (* y (+ (* -1 (/ x y)) (* 4 z))))
(* -1 (* y (+ (* -1 (/ x y)) (* 4 z))))
(* -4 (* y z))
(- x (* 4 (* y z)))
(- x (* 4 (* y z)))
(- x (* 4 (* y z)))
(* -4 (* y z))
(+ x (* -4 (* y z)))
(+ x (* -4 (* y z)))
(+ x (* -4 (* y z)))
x
(* x (+ 1 (* -4 (/ (* y z) x))))
(* x (+ 1 (* -4 (/ (* y z) x))))
(* x (+ 1 (* -4 (/ (* y z) x))))
x
(* x (+ 1 (* -4 (/ (* y z) x))))
(* x (+ 1 (* -4 (/ (* y z) x))))
(* x (+ 1 (* -4 (/ (* y z) x))))
x
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
x
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))

Outputs
x
(+ x (* -4 (* y z)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(+ x (* -4 (* y z)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(+ x (* -4 (* y z)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
x
(+ x (* -4 (* y z)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(+ x (* -4 (* y z)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(+ x (* -4 (* y z)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* -4 z)
(*.f64 z #s(literal -4 binary64))
(* -4 z)
(*.f64 z #s(literal -4 binary64))
(* -4 z)
(*.f64 z #s(literal -4 binary64))
(* -4 z)
(*.f64 z #s(literal -4 binary64))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* z (- (/ x z) (* 4 y)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* z (- (/ x z) (* 4 y)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* z (- (/ x z) (* 4 y)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* z (+ (* -4 y) (/ x z)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* z (+ (* -4 y) (/ x z)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* z (+ (* -4 y) (/ x z)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* -4 z)
(*.f64 z #s(literal -4 binary64))
(* -4 z)
(*.f64 z #s(literal -4 binary64))
(* -4 z)
(*.f64 z #s(literal -4 binary64))
(* -4 z)
(*.f64 z #s(literal -4 binary64))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -1 (* z (+ (* -1 (/ x z)) (* 4 y))))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* -1 (* z (+ (* -1 (/ x z)) (* 4 y))))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* -1 (* z (+ (* -1 (/ x z)) (* 4 y))))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* -4 z)
(*.f64 z #s(literal -4 binary64))
(* -4 z)
(*.f64 z #s(literal -4 binary64))
(* -4 z)
(*.f64 z #s(literal -4 binary64))
(* -4 z)
(*.f64 z #s(literal -4 binary64))
x
(+ x (* -4 (* y z)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(+ x (* -4 (* y z)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(+ x (* -4 (* y z)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
x
(+ x (* -4 (* y z)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(+ x (* -4 (* y z)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(+ x (* -4 (* y z)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* y (- (/ x y) (* 4 z)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* y (- (/ x y) (* 4 z)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* y (- (/ x y) (* 4 z)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* y (+ (* -4 z) (/ x y)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* y (+ (* -4 z) (/ x y)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* y (+ (* -4 z) (/ x y)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -1 (* y (+ (* -1 (/ x y)) (* 4 z))))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* -1 (* y (+ (* -1 (/ x y)) (* 4 z))))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* -1 (* y (+ (* -1 (/ x y)) (* 4 z))))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(- x (* 4 (* y z)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(- x (* 4 (* y z)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(- x (* 4 (* y z)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(+ x (* -4 (* y z)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(+ x (* -4 (* y z)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(+ x (* -4 (* y z)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
x
(* x (+ 1 (* -4 (/ (* y z) x))))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* x (+ 1 (* -4 (/ (* y z) x))))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* x (+ 1 (* -4 (/ (* y z) x))))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
x
(* x (+ 1 (* -4 (/ (* y z) x))))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* x (+ 1 (* -4 (/ (* y z) x))))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* x (+ 1 (* -4 (/ (* y z) x))))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
x
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
x
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)

rewrite163.0ms (6.1%)

Memory

6.0MiB live, 195.0MiB allocated

Rules

9 812×	`lower-fma.f32`
9 810×	`lower-fma.f64`
5 612×	`lower-*.f32`
5 606×	`lower-*.f64`
2 014×	`lower-pow.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	30
0	18	30
1	58	29
2	392	29
3	4464	29
0	8221	29

Stop Event

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

Counts

5 → 195

Calls

Call 1

Inputs
#s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))
(.f64 (.f64 z y) #s(literal -4 binary64))
(*.f64 z y)
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(*.f64 #s(literal -4 binary64) z)

Outputs
#<batchref>
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eval35.0ms (1.3%)

Memory: 30.1MiB live, 66.0MiB allocated
Compiler: Compiled 5 466 to 538 computations (90.2% saved)

prune23.0ms (0.9%)

Memory

-6.9MiB live, 41.4MiB allocated

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	319	0	319
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	319	2	321

Accuracy

100.0%

Counts

321 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
✓	51.6%	#s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))

Compiler

Compiled 31 to 26 computations (16.1% saved)

regimes50.0ms (1.9%)

Memory

-18.7MiB live, 19.2MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
#s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))

Outputs
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)

Calls

6 calls:

40.0ms	z
2.0ms	y
2.0ms	(*.f64 y #s(literal 4 binary64))
2.0ms	(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
2.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))`
100.0%	1	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
100.0%	1	`(*.f64 y #s(literal 4 binary64))`

Compiler

Compiled 18 to 27 computations (-50% saved)

regimes8.0ms (0.3%)

Memory

13.8MiB live, 13.8MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))

Outputs
#s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))

Calls

6 calls:

1.0ms	(*.f64 y #s(literal 4 binary64))
1.0ms	z
1.0ms	(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
1.0ms	y
1.0ms	(.f64 (.f64 y #s(literal 4 binary64)) z)

Results

Accuracy	Segments	Branch
51.6%	1	`x`
51.6%	1	`y`
51.6%	1	`z`
51.6%	1	`(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))`
51.6%	1	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
51.6%	1	`(*.f64 y #s(literal 4 binary64))`

Compiler

Compiled 18 to 27 computations (-50% saved)

simplify40.0ms (1.5%)

Memory

1.0MiB live, 38.9MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`-commutative-binary64-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	19
1	16	19

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
#s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))

Outputs
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
#s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))
#s(approx (- x (* (* y 4) z)) (.f64 (.f64 y z) #s(literal -4 binary64)))

soundness657.0ms (24.7%)

Memory

-3.0MiB live, 184.1MiB allocated

Rules

18 304×	`lower-fma.f64`
18 304×	`lower-fma.f32`
12 604×	`lower-fma.f64`
12 604×	`lower-fma.f32`
4 454×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	374
1	105	374
2	262	374
3	894	374
4	2564	374
5	4474	374
6	5491	374
7	5869	374
8	6083	374
9	6195	374
10	6237	374
0	8299	347
0	7	15
0	10	15
1	32	15
2	219	15
3	2118	15
0	8340	14

Stop Event

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

Compiler

Compiled 30 to 25 computations (16.7% saved)

preprocess70.0ms (2.6%)

Memory: 15.5MiB live, 101.5MiB allocated
Remove: (sort y z)
Compiler: Compiled 74 to 68 computations (8.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	7	19
0	10	19
1	19	19
2	49	19
3	99	19
4	131	19
5	170	19
6	221	19
7	263	19
8	348	19
9	400	19
10	430	19
0	430	18

Iter	Nodes	Cost
0	13	37
0	18	37
1	35	36
2	62	36
3	101	36
4	134	36
5	173	36
6	224	36
7	268	36
8	353	36
9	405	36
10	435	36
0	435	36

Iter	Nodes	Cost
0	7	19
0	10	19
1	19	19
2	49	19
3	99	19
4	131	19
5	170	19
6	221	19
7	263	19
8	348	19
9	400	19
10	430	19
0	430	18

Iter	Nodes	Cost
0	13	37
0	18	37
1	35	36
2	62	36
3	101	36
4	134	36
5	173	36
6	224	36
7	268	36
8	353	36
9	405	36
10	435	36
0	435	36

start0.0ms (0%)

analyze0.0ms (0%)

sample720.0ms (27%)

explain72.0ms (2.7%)

preprocess48.0ms (1.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify18.0ms (0.7%)

localize35.0ms (1.3%)

series8.0ms (0.3%)

simplify198.0ms (7.4%)

rewrite275.0ms (10.3%)

eval37.0ms (1.4%)

prune6.0ms (0.2%)

simplify63.0ms (2.4%)

localize33.0ms (1.2%)

series8.0ms (0.3%)

simplify96.0ms (3.6%)

rewrite163.0ms (6.1%)

eval35.0ms (1.3%)

prune23.0ms (0.9%)

regimes50.0ms (1.9%)

regimes8.0ms (0.3%)

simplify40.0ms (1.5%)

soundness657.0ms (24.7%)

preprocess70.0ms (2.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	19
0	10	19
1	19	19
2	49	19
3	99	19
4	131	19
5	170	19
6	221	19
7	263	19
8	348	19
9	400	19
10	430	19
0	430	18

Iter	Nodes	Cost
0	13	37
0	18	37
1	35	36
2	62	36
3	101	36
4	134	36
5	173	36
6	224	36
7	268	36
8	353	36
9	405	36
10	435	36
0	435	36