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

0.3MiB live, 0.3MiB 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)

sample596.0ms (15.6%)

Memory

14.8MiB live, 996.4MiB allocated

Samples

379.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 171.0ms

ival-mult: 113.0ms (66.2% of total)

ival-sub: 43.0ms (25.2% of total)

ival-true: 6.0ms (3.5% of total)

exact: 6.0ms (3.5% of total)

ival-assert: 3.0ms (1.8% of total)

Bogosity

explain122.0ms (3.2%)

Memory

-0.9MiB live, 85.3MiB 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

25.0ms

512×

valid

Compiler

Compiled 68 to 32 computations (52.9% saved)

Precisions

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

ival-mult: 7.0ms (67.6% of total)

ival-sub: 3.0ms (29% of total)

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

exact: 0.0ms (0% of total)

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

preprocess68.0ms (1.8%)

Memory

7.5MiB live, 43.9MiB 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune13.0ms (0.3%)

Memory

-36.0MiB live, 0.9MiB 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)

simplify15.0ms (0.4%)

Memory

14.5MiB live, 14.5MiB 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

localize17.0ms (0.4%)

Memory

22.7MiB live, 22.7MiB 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	0.01171875	(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))

Samples

12.0ms

256×

valid

Compiler

Compiled 40 to 16 computations (60% saved)

Precisions

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

ival-mult: 3.0ms (59.4% of total)

ival-sub: 1.0ms (19.8% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.4%)

Memory

-26.4MiB live, 11.6MiB 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
9.0ms	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	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))

simplify279.0ms (7.3%)

Memory

16.6MiB live, 140.0MiB 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)

rewrite364.0ms (9.5%)

Memory

-14.5MiB live, 172.9MiB 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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eval281.0ms (7.3%)

Memory: -133.5MiB live, 60.2MiB allocated
Compiler: Compiled 8 646 to 640 computations (92.6% saved)

prune6.0ms (0.2%)

Memory

17.7MiB live, 17.7MiB 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 #s(literal -4 binary64) z) y x)
▶	51.1%	#s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))

Compiler

Compiled 12 to 13 computations (-8.3% saved)

simplify56.0ms (1.5%)

Memory

-11.7MiB live, 32.2MiB 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)))

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	267	36
8	352	36
9	404	36
10	434	36
0	434	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)
(*.f64 y z)
z
y
#s(literal -4 binary64)
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(*.f64 #s(literal -4 binary64) z)
#s(literal -4 binary64)
z
y
x

localize34.0ms (0.9%)

Memory

10.0MiB live, 85.2MiB 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 z y)
accuracy	0.0078125	(.f64 (.f64 z y) #s(literal -4 binary64))
accuracy	31.268192806264604	#s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))

Samples

26.0ms

256×

valid

Compiler

Compiled 64 to 24 computations (62.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 11.0ms (80.1% of total)

ival-sub: 1.0ms (7.3% of total)

ival-add: 1.0ms (7.3% of total)

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

exact: 0.0ms (0% of total)

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

series14.0ms (0.4%)

Memory

-32.9MiB live, 12.1MiB 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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
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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 #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
6.0ms	z	@	inf	((- 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	z	@	0	((- 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))

simplify133.0ms (3.5%)

Memory

27.3MiB live, 102.2MiB allocated

Algorithm

1×	egg-herbie

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)

rewrite156.0ms (4.1%)

Memory

-5.7MiB live, 188.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	30
0	18	30
1	58	29
2	392	29
3	4465	29
0	8223	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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eval51.0ms (1.3%)

Memory: -17.4MiB live, 102.6MiB allocated
Compiler: Compiled 5 466 to 537 computations (90.2% saved)

prune19.0ms (0.5%)

Memory

11.4MiB live, 50.7MiB allocated

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	318	1	319
Fresh	0	0	0
Picked	1	1	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)
▶	51.1%	#s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y))

Compiler

Compiled 12 to 13 computations (-8.3% saved)

simplify18.0ms (0.5%)

Memory

-14.7MiB live, 28.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	24
0	13	24
1	26	24
2	58	24
3	97	24
4	131	24
5	170	24
6	221	24
7	265	24
8	351	24
9	403	24
10	433	24
0	433	23

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize24.0ms (0.6%)

Memory

10.3MiB live, 48.8MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(.f64 (.f64 #s(literal -4 binary64) z) y)
accuracy	0	(*.f64 #s(literal -4 binary64) z)
accuracy	31.268192806264604	#s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y))

Samples

18.0ms

256×

valid

Compiler

Compiled 37 to 19 computations (48.6% saved)

Precisions

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

ival-mult: 7.0ms (65.2% of total)

ival-sub: 3.0ms (27.9% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated

Counts

3 → 72

Calls

Call 1

Inputs

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

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

Calls

9 calls:

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

simplify202.0ms (5.3%)

Memory

25.1MiB live, 215.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	374
1	105	374
2	262	374
3	892	374
4	2554	374
5	4467	374
6	5484	374
7	5861	374
8	6075	374
9	6189	374
10	6231	374
0	8305	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 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))
(* -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))
(* -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))
(* -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 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 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 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))
(* -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))
(* -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))
(* -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))
(* -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))
(* -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))
(* -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
(* -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)

rewrite178.0ms (4.6%)

Memory

-0.8MiB live, 242.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	21
0	13	21
1	39	21
2	228	21
3	2129	21
0	8458	20

Stop Event

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

Counts

3 → 42

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval11.0ms (0.3%)

Memory: -6.2MiB live, 32.7MiB allocated
Compiler: Compiled 927 to 150 computations (83.8% saved)

prune14.0ms (0.4%)

Memory

4.2MiB live, 41.7MiB allocated

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	110	2	112

Accuracy

100.0%

Counts

112 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
✓	51.1%	#s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y))

Compiler

Compiled 37 to 28 computations (24.3% saved)

regimes14.0ms (0.4%)

Memory

-0.3MiB live, 38.8MiB allocated

Counts

4 → 1

Calls

Call 1

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

3.0ms	(.f64 (.f64 y #s(literal 4 binary64)) 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	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)

regimes13.0ms (0.3%)

Memory

-14.5MiB live, 29.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

6 calls:

4.0ms	(.f64 (.f64 y #s(literal 4 binary64)) z)
2.0ms	(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
2.0ms	(*.f64 y #s(literal 4 binary64))
2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
51.1%	1	`x`
51.1%	1	`y`
51.1%	1	`z`
51.1%	1	`(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))`
51.1%	1	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
51.1%	1	`(*.f64 y #s(literal 4 binary64))`

Compiler

Compiled 18 to 27 computations (-50% saved)

simplify24.0ms (0.6%)

Memory

-14.2MiB live, 62.1MiB 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 #s(literal -4 binary64) z) y x)
#s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y))

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

soundness864.0ms (22.6%)

Memory

31.6MiB live, 532.5MiB 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
0	13	30
0	18	30
1	58	29
2	392	29
3	4465	29
0	8223	29

Stop Event

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

Compiler

Compiled 36 to 31 computations (13.9% saved)

preprocess214.0ms (5.6%)

Memory: 19.0MiB live, 101.5MiB 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	13	37
0	18	37
1	35	36
2	62	36
3	101	36
4	134	36
5	173	36
6	224	36
7	267	36
8	352	36
9	404	36
10	434	36
0	434	36

Iter	Nodes	Cost
0	11	24
0	13	24
1	26	24
2	58	24
3	97	24
4	131	24
5	170	24
6	221	24
7	265	24
8	351	24
9	403	24
10	433	24
0	433	23

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	267	36
8	352	36
9	404	36
10	434	36
0	434	36

Iter	Nodes	Cost
0	11	24
0	13	24
1	26	24
2	58	24
3	97	24
4	131	24
5	170	24
6	221	24
7	265	24
8	351	24
9	403	24
10	433	24
0	433	23

start0.0ms (0%)

analyze0.0ms (0%)

sample596.0ms (15.6%)

explain122.0ms (3.2%)

preprocess68.0ms (1.8%)

eval0.0ms (0%)

prune13.0ms (0.3%)

simplify15.0ms (0.4%)

localize17.0ms (0.4%)

series16.0ms (0.4%)

simplify279.0ms (7.3%)

rewrite364.0ms (9.5%)

eval281.0ms (7.3%)

prune6.0ms (0.2%)

simplify56.0ms (1.5%)

localize34.0ms (0.9%)

series14.0ms (0.4%)

simplify133.0ms (3.5%)

rewrite156.0ms (4.1%)

eval51.0ms (1.3%)

prune19.0ms (0.5%)

simplify18.0ms (0.5%)

localize24.0ms (0.6%)

series5.0ms (0.1%)

simplify202.0ms (5.3%)

rewrite178.0ms (4.6%)

eval11.0ms (0.3%)

prune14.0ms (0.4%)

regimes14.0ms (0.4%)

regimes13.0ms (0.3%)

simplify24.0ms (0.6%)

soundness864.0ms (22.6%)

preprocess214.0ms (5.6%)

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	267	36
8	352	36
9	404	36
10	434	36
0	434	36

Iter	Nodes	Cost
0	11	24
0	13	24
1	26	24
2	58	24
3	97	24
4	131	24
5	170	24
6	221	24
7	265	24
8	351	24
9	403	24
10	433	24
0	433	23