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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB 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)

sample823.0ms (30%)

Memory

20.5MiB live, 685.1MiB allocated

Samples

513.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 186.0ms

ival-mult: 129.0ms (69.4% of total)

ival-sub: 43.0ms (23.1% of total)

ival-true: 6.0ms (3.2% of total)

exact: 5.0ms (2.7% of total)

ival-assert: 3.0ms (1.6% of total)

Bogosity

explain76.0ms (2.8%)

Memory

13.8MiB live, 136.9MiB 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

33.0ms

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 (68.7% of total)

ival-sub: 3.0ms (29.5% of total)

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

exact: 0.0ms (0% of total)

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

preprocess45.0ms (1.6%)

Memory

10.6MiB live, 49.8MiB 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
(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

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 7 computations (0% saved)

simplify15.0ms (0.6%)

Memory

-25.1MiB live, 13.7MiB 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
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
x
(.f64 z (.f64 #s(literal 4 binary64) y))
(*.f64 #s(literal 4 binary64) y)
y
#s(literal 4 binary64)
z

localize19.0ms (0.7%)

Memory

5.8MiB live, 45.0MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

14.0ms

256×

valid

Compiler

Compiled 40 to 16 computations (60% saved)

Precisions

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

ival-mult: 4.0ms (71.9% of total)

ival-sub: 1.0ms (18% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.3%)

Memory

16.6MiB live, 16.6MiB allocated

Counts

3 → 72

Calls

Call 1

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

Inputs

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

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

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

Outputs
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (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	@	0	((- x (* (* y 4) z)) (* (* y 4) z) (* y 4))
1.0ms	z	@	inf	((- x (* (* y 4) z)) (* (* y 4) z) (* y 4))

simplify277.0ms (10.1%)

Memory

-26.1MiB live, 212.3MiB 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	4472	374
6	5485	374
7	5862	374
8	6076	374
9	6188	374
10	6230	374
0	8292	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
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(.f64 #s(literal 4 binary64) (.f64 z y))
(.f64 #s(literal 4 binary64) (.f64 z y))
(.f64 #s(literal 4 binary64) (.f64 z y))
(.f64 #s(literal 4 binary64) (.f64 z y))
(.f64 (.f64 z y) #s(literal -4 binary64))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(.f64 #s(literal 4 binary64) (.f64 z y))
(.f64 #s(literal 4 binary64) (.f64 z y))
(.f64 #s(literal 4 binary64) (.f64 z y))
(.f64 #s(literal 4 binary64) (.f64 z y))
(.f64 (.f64 z y) #s(literal -4 binary64))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(.f64 #s(literal 4 binary64) (.f64 z y))
(.f64 #s(literal 4 binary64) (.f64 z y))
(.f64 #s(literal 4 binary64) (.f64 z y))
(.f64 #s(literal 4 binary64) (.f64 z y))
x
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(.f64 #s(literal 4 binary64) (.f64 z y))
(.f64 #s(literal 4 binary64) (.f64 z y))
(.f64 #s(literal 4 binary64) (.f64 z y))
(.f64 #s(literal 4 binary64) (.f64 z y))
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(.f64 (.f64 z y) #s(literal -4 binary64))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(.f64 #s(literal 4 binary64) (.f64 z y))
(.f64 #s(literal 4 binary64) (.f64 z y))
(.f64 #s(literal 4 binary64) (.f64 z y))
(.f64 #s(literal 4 binary64) (.f64 z y))
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(.f64 (.f64 z y) #s(literal -4 binary64))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(.f64 #s(literal 4 binary64) (.f64 z y))
(.f64 #s(literal 4 binary64) (.f64 z y))
(.f64 #s(literal 4 binary64) (.f64 z y))
(.f64 #s(literal 4 binary64) (.f64 z y))
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(.f64 (.f64 z y) #s(literal -4 binary64))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
x
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
x
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)

rewrite210.0ms (7.7%)

Memory

32.3MiB live, 266.5MiB 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: -7.6MiB live, 73.9MiB allocated
Compiler: Compiled 9 026 to 642 computations (92.9% saved)

prune7.0ms (0.3%)

Memory

-13.6MiB live, 25.0MiB 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)
▶	54.9%	#s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))

Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify17.0ms (0.6%)

Memory

-1.2MiB live, 37.7MiB 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	268	36
8	353	36
9	405	36
10	435	36
0	435	36

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize36.0ms (1.3%)

Memory

-5.3MiB live, 76.4MiB 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	0.00390625	(.f64 (.f64 z y) #s(literal -4 binary64))
accuracy	28.890184312576558	#s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))

Samples

26.0ms

256×

valid

Compiler

Compiled 71 to 28 computations (60.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 13.0ms (81.6% of total)

ival-sub: 1.0ms (6.3% of total)

ival-add: 1.0ms (6.3% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.3%)

Memory

34.0MiB live, 34.0MiB allocated

Counts

5 → 132

Calls

Call 1

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

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

Calls

9 calls:

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

simplify216.0ms (7.9%)

Memory

-15.7MiB live, 107.1MiB 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	2675	664
5	5453	664
6	7558	664
0	8080	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
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(.f64 (.f64 z y) #s(literal -4 binary64))
(.f64 (.f64 z y) #s(literal -4 binary64))
(.f64 (.f64 z y) #s(literal -4 binary64))
(.f64 (.f64 z y) #s(literal -4 binary64))
(*.f64 z y)
(*.f64 z y)
(*.f64 z y)
(*.f64 z y)
x
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(.f64 (.f64 z y) #s(literal -4 binary64))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(.f64 (.f64 z y) #s(literal -4 binary64))
(.f64 (.f64 z y) #s(literal -4 binary64))
(.f64 (.f64 z y) #s(literal -4 binary64))
(.f64 (.f64 z y) #s(literal -4 binary64))
(*.f64 z y)
(*.f64 z y)
(*.f64 z y)
(*.f64 z y)
(.f64 (.f64 z y) #s(literal -4 binary64))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(.f64 (.f64 z y) #s(literal -4 binary64))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(.f64 (.f64 z y) #s(literal -4 binary64))
(.f64 (.f64 z y) #s(literal -4 binary64))
(.f64 (.f64 z y) #s(literal -4 binary64))
(.f64 (.f64 z y) #s(literal -4 binary64))
(*.f64 z y)
(*.f64 z y)
(*.f64 z y)
(*.f64 z y)
(.f64 (.f64 z y) #s(literal -4 binary64))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
x
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(.f64 (.f64 z y) #s(literal -4 binary64))
(.f64 (.f64 z y) #s(literal -4 binary64))
(.f64 (.f64 z y) #s(literal -4 binary64))
(.f64 (.f64 z y) #s(literal -4 binary64))
(*.f64 z y)
(*.f64 z y)
(*.f64 z y)
(*.f64 z y)
x
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(.f64 (.f64 z y) #s(literal -4 binary64))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(.f64 (.f64 z y) #s(literal -4 binary64))
(.f64 (.f64 z y) #s(literal -4 binary64))
(.f64 (.f64 z y) #s(literal -4 binary64))
(.f64 (.f64 z y) #s(literal -4 binary64))
(*.f64 z y)
(*.f64 z y)
(*.f64 z y)
(*.f64 z y)
(.f64 (.f64 z y) #s(literal -4 binary64))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(.f64 (.f64 z y) #s(literal -4 binary64))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(.f64 (.f64 z y) #s(literal -4 binary64))
(.f64 (.f64 z y) #s(literal -4 binary64))
(.f64 (.f64 z y) #s(literal -4 binary64))
(.f64 (.f64 z y) #s(literal -4 binary64))
(*.f64 z y)
(*.f64 z y)
(*.f64 z y)
(*.f64 z y)
(.f64 (.f64 z y) #s(literal -4 binary64))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(.f64 (.f64 z y) #s(literal -4 binary64))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(.f64 (.f64 z y) #s(literal -4 binary64))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
x
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
x
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
x
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
x
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)

rewrite179.0ms (6.5%)

Memory

20.9MiB live, 216.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

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

Counts

5 → 195

Calls

Call 1

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

Outputs
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eval36.0ms (1.3%)

Memory: -0.2MiB live, 75.4MiB allocated
Compiler: Compiled 6 772 to 546 computations (91.9% saved)

prune22.0ms (0.8%)

Memory

1.3MiB live, 45.5MiB allocated

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Accuracy

100.0%

Counts

321 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
✓	54.9%	#s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))

Compiler

Compiled 45 to 34 computations (24.4% saved)

regimes13.0ms (0.5%)

Memory

-14.3MiB live, 24.9MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

6 calls:

3.0ms	(*.f64 y #s(literal 4 binary64))
2.0ms	y
2.0ms	z
2.0ms	(.f64 (.f64 y #s(literal 4 binary64)) z)
2.0ms	(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) 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)

regimes9.0ms (0.3%)

Memory

-19.2MiB live, 20.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
54.9%	1	`x`
54.9%	1	`y`
54.9%	1	`z`
54.9%	1	`(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))`
54.9%	1	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
54.9%	1	`(*.f64 y #s(literal 4 binary64))`

Compiler

Compiled 18 to 27 computations (-50% saved)

simplify25.0ms (0.9%)

Memory

8.8MiB live, 47.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	19
1	16	19

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness621.0ms (22.6%)

Memory

29.8MiB live, 220.0MiB 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	4472	374
6	5485	374
7	5862	374
8	6076	374
9	6188	374
10	6230	374
0	8292	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 37 to 29 computations (21.6% saved)

preprocess46.0ms (1.7%)

Memory: 8.1MiB live, 45.0MiB allocated
Remove: (sort y z)
Compiler: Compiled 88 to 76 computations (13.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

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

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

start0.0ms (0%)

analyze0.0ms (0%)

sample823.0ms (30%)

explain76.0ms (2.8%)

preprocess45.0ms (1.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify15.0ms (0.6%)

localize19.0ms (0.7%)

series8.0ms (0.3%)

simplify277.0ms (10.1%)

rewrite210.0ms (7.7%)

eval36.0ms (1.3%)

prune7.0ms (0.3%)

simplify17.0ms (0.6%)

localize36.0ms (1.3%)

series9.0ms (0.3%)

simplify216.0ms (7.9%)

rewrite179.0ms (6.5%)

eval36.0ms (1.3%)

prune22.0ms (0.8%)

regimes13.0ms (0.5%)

regimes9.0ms (0.3%)

simplify25.0ms (0.9%)

soundness621.0ms (22.6%)

preprocess46.0ms (1.7%)

end0.0ms (0%)

Profiling

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

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