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

0.6MiB live, 0.6MiB 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)

sample846.0ms (30%)

Memory

24.4MiB live, 802.8MiB allocated

Samples

588.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 330.0ms

ival-mult: 172.0ms (52.1% of total)

ival-sub: 145.0ms (44% of total)

ival-true: 5.0ms (1.5% of total)

exact: 5.0ms (1.5% of total)

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

Bogosity

explain110.0ms (3.9%)

Memory

-15.5MiB live, 143.6MiB 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 (70.5% of total)

ival-sub: 2.0ms (20.1% of total)

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

exact: 0.0ms (0% of total)

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

preprocess47.0ms (1.7%)

Memory

34.8MiB live, 72.2MiB allocated

Algorithm

1×	egg-herbie

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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.6MiB live, 1.6MiB 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 (0.6%)

Memory

-28.5MiB live, 15.5MiB 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))

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

localize18.0ms (0.6%)

Memory

-6.0MiB live, 33.1MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

13.0ms

256×

valid

Compiler

Compiled 21 to 9 computations (57.1% saved)

Precisions

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

ival-mult: 4.0ms (70.6% of total)

ival-sub: 1.0ms (17.6% 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

14.6MiB live, 14.6MiB 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))

simplify268.0ms (9.5%)

Memory

-15.3MiB live, 150.5MiB allocated

Algorithm

1×	egg-herbie

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)

rewrite222.0ms (7.9%)

Memory

19.7MiB live, 252.7MiB allocated

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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eval36.0ms (1.3%)

Memory: -7.7MiB live, 74.0MiB allocated
Compiler: Compiled 8 646 to 640 computations (92.6% saved)

prune6.0ms (0.2%)

Memory

21.7MiB live, 21.7MiB 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 z y) #s(literal -4 binary64) x)
▶	53.4%	#s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))

Compiler

Compiled 12 to 13 computations (-8.3% saved)

simplify16.0ms (0.6%)

Memory

-4.1MiB live, 34.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	37
0	15	37
1	29	36
2	60	36
3	99	36
4	133	36
5	172	36
6	223	36
7	265	36
8	351	36
9	403	36
10	433	36
0	433	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 z y) #s(literal -4 binary64) x)
(*.f64 z y)
z
y
#s(literal -4 binary64)
x

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

localize30.0ms (1.1%)

Memory

-21.6MiB live, 61.8MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
accuracy	0	(*.f64 z y)
accuracy	0	(*.f64 z y)
accuracy	0.00390625	(.f64 (.f64 z y) #s(literal -4 binary64))
accuracy	29.796354709069327	#s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))

Samples

24.0ms

256×

valid

Compiler

Compiled 34 to 13 computations (61.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 11.0ms (71.3% of total)

ival-sub: 3.0ms (19.4% of total)

ival-add: 1.0ms (6.5% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.2%)

Memory

17.2MiB live, 17.2MiB allocated

Counts

4 → 120

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

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	((- x (* (* y 4) z)) (* (* z y) -4) (* z y) (+ (* (* z y) -4) x))
1.0ms	z	@	-inf	((- x (* (* y 4) z)) (* (* z y) -4) (* z y) (+ (* (* z y) -4) x))
1.0ms	z	@	0	((- x (* (* y 4) z)) (* (* z y) -4) (* z y) (+ (* (* z y) -4) x))
0.0ms	z	@	inf	((- x (* (* y 4) z)) (* (* z y) -4) (* z y) (+ (* (* z y) -4) x))
0.0ms	y	@	inf	((- x (* (* y 4) z)) (* (* z y) -4) (* z y) (+ (* (* z y) -4) x))

simplify147.0ms (5.2%)

Memory

-19.3MiB live, 96.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	628
1	143	628
2	369	628
3	1011	628
4	2671	628
5	5439	628
6	7538	628
0	8056	574

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 112

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

rewrite210.0ms (7.5%)

Memory

0.5MiB live, 316.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	27
0	15	27
1	52	26
2	371	26
3	4245	26
0	8967	26

Stop Event

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

Counts

4 → 244

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 z y) #s(literal -4 binary64) x)

Outputs
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eval46.0ms (1.6%)

Memory: 17.4MiB live, 98.7MiB allocated
Compiler: Compiled 8 498 to 731 computations (91.4% saved)

prune23.0ms (0.8%)

Memory

-18.0MiB live, 58.5MiB allocated

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	382	0	382
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	382	2	384

Accuracy

100.0%

Counts

384 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
✓	53.4%	#s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))

Compiler

Compiled 31 to 25 computations (19.4% saved)

regimes12.0ms (0.4%)

Memory

32.6MiB live, 32.6MiB 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 z y) #s(literal -4 binary64) x)
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))

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

Calls

6 calls:

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

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)

regimes12.0ms (0.4%)

Memory

-18.2MiB live, 25.6MiB 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:

5.0ms	(.f64 (.f64 y #s(literal 4 binary64)) z)
1.0ms	(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
1.0ms	y
1.0ms	(*.f64 y #s(literal 4 binary64))
1.0ms	z

Results

Accuracy	Segments	Branch
53.4%	1	`x`
53.4%	1	`y`
53.4%	1	`z`
53.4%	1	`(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))`
53.4%	1	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
53.4%	1	`(*.f64 y #s(literal 4 binary64))`

Compiler

Compiled 18 to 27 computations (-50% saved)

simplify44.0ms (1.6%)

Memory

12.3MiB live, 51.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	19
1	14	19

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness647.0ms (22.9%)

Memory

-4.2MiB live, 241.8MiB allocated

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 24 computations (20% saved)

preprocess50.0ms (1.8%)

Memory: -24.1MiB live, 92.1MiB allocated
Remove: (sort y z)
Compiler: Compiled 74 to 66 computations (10.8% 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	12	37
0	15	37
1	29	36
2	60	36
3	99	36
4	133	36
5	172	36
6	223	36
7	265	36
8	351	36
9	403	36
10	433	36
0	433	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	12	37
0	15	37
1	29	36
2	60	36
3	99	36
4	133	36
5	172	36
6	223	36
7	265	36
8	351	36
9	403	36
10	433	36
0	433	36

start0.0ms (0%)

analyze0.0ms (0%)

sample846.0ms (30%)

explain110.0ms (3.9%)

preprocess47.0ms (1.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify18.0ms (0.6%)

localize18.0ms (0.6%)

series8.0ms (0.3%)

simplify268.0ms (9.5%)

rewrite222.0ms (7.9%)

eval36.0ms (1.3%)

prune6.0ms (0.2%)

simplify16.0ms (0.6%)

localize30.0ms (1.1%)

series7.0ms (0.2%)

simplify147.0ms (5.2%)

rewrite210.0ms (7.5%)

eval46.0ms (1.6%)

prune23.0ms (0.8%)

regimes12.0ms (0.4%)

regimes12.0ms (0.4%)

simplify44.0ms (1.6%)

soundness647.0ms (22.9%)

preprocess50.0ms (1.8%)

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	12	37
0	15	37
1	29	36
2	60	36
3	99	36
4	133	36
5	172	36
6	223	36
7	265	36
8	351	36
9	403	36
10	433	36
0	433	36