Metrics for Main:bigenough2 from A

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample623.0ms (17.4%)

Memory

16.2MiB live, 910.3MiB allocated

Samples

386.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 161.0ms

ival-add: 94.0ms (58.5% of total)

ival-mult: 56.0ms (34.9% of total)

ival-true: 6.0ms (3.7% of total)

ival-assert: 3.0ms (1.9% of total)

Bogosity

explain67.0ms (1.9%)

Memory

7.8MiB live, 163.9MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 z x)`
-	-	`y`
-	-	`(*.f64 y (+.f64 z x))`
-	-	`(+.f64 x (*.f64 y (+.f64 z x)))`
-	-	`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

27.0ms

512×

valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-add: 5.0ms (52.9% of total)

ival-mult: 3.0ms (31.7% of total)

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

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

preprocess55.0ms (1.6%)

Memory

19.7MiB live, 57.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	70
1	94	63
2	290	63
3	708	63
4	1654	63
5	2395	63
6	2500	63
7	2500	63
0	6	7
0	9	7
1	18	7
2	29	7
3	38	7
4	42	7
5	48	7
6	48	7
7	61	7
8	61	7
9	73	7
10	75	7
11	79	7
0	79	6

Stop Event

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

Calls

Call 1

Inputs
(+.f64 x (*.f64 y (+.f64 z x)))

Outputs
(fma.f64 (+.f64 z x) y x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 x (*.f64 y (+.f64 z x)))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify5.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 z x)
cost-diff	0	(*.f64 y (+.f64 z x))
cost-diff	128	(+.f64 x (*.f64 y (+.f64 z x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	18	18
2	29	18
3	38	18
4	42	18
5	48	18
6	48	18
7	61	18
8	61	18
9	73	18
10	75	18
11	79	18
0	79	17

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 x (*.f64 y (+.f64 z x)))
x
(*.f64 y (+.f64 z x))
y
(+.f64 z x)
z

Outputs
(fma.f64 (+.f64 z x) y x)
x
(*.f64 (+.f64 z x) y)
y
(+.f64 z x)
z

localize30.0ms (0.8%)

Memory

-42.0MiB live, 45.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 z x)
accuracy	0.0078125	(*.f64 y (+.f64 z x))
accuracy	0.01171875	(+.f64 x (*.f64 y (+.f64 z x)))

Samples

14.0ms

256×

valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

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

ival-add: 3.0ms (65.9% of total)

ival-mult: 2.0ms (43.9% of total)

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

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

series7.0ms (0.2%)

Memory

11.0MiB live, 11.0MiB allocated

Counts

3 → 96

Calls

Call 1

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

Inputs

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

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

#s(alt #<batchref> (patch (+.f64 z x) #<representation binary64>) () ())

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

Calls

9 calls:

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

simplify149.0ms (4.2%)

Memory

-0.5MiB live, 193.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	452
1	249	452
2	731	452
3	2094	452
4	4282	452
5	5652	452
6	6779	452
7	7701	452
0	8091	422

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 89

Calls

Call 1

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

Outputs
(fma.f64 y x x)
(fma.f64 (+.f64 z x) y x)
(fma.f64 (+.f64 z x) y x)
(fma.f64 (+.f64 z x) y x)
(*.f64 y x)
(*.f64 (+.f64 z x) y)
(*.f64 (+.f64 z x) y)
(*.f64 (+.f64 z x) y)
x
(+.f64 z x)
(+.f64 z x)
(+.f64 z x)
(*.f64 z y)
(fma.f64 (+.f64 z x) y x)
(fma.f64 (+.f64 z x) y x)
(fma.f64 (+.f64 z x) y x)
(*.f64 z y)
(*.f64 (+.f64 z x) y)
(*.f64 (+.f64 z x) y)
(*.f64 (+.f64 z x) y)
z
(+.f64 z x)
(+.f64 z x)
(+.f64 z x)
(*.f64 z y)
(fma.f64 (+.f64 z x) y x)
(fma.f64 (+.f64 z x) y x)
(fma.f64 (+.f64 z x) y x)
(*.f64 z y)
(*.f64 (+.f64 z x) y)
(*.f64 (+.f64 z x) y)
(*.f64 (+.f64 z x) y)
z
(+.f64 z x)
(+.f64 z x)
(+.f64 z x)
x
(fma.f64 (+.f64 z x) y x)
(fma.f64 (+.f64 z x) y x)
(fma.f64 (+.f64 z x) y x)
(*.f64 (+.f64 z x) y)
(*.f64 (+.f64 z x) y)
(*.f64 (+.f64 z x) y)
(*.f64 (+.f64 z x) y)
(*.f64 (+.f64 z x) y)
(fma.f64 (+.f64 z x) y x)
(fma.f64 (+.f64 z x) y x)
(fma.f64 (+.f64 z x) y x)
(*.f64 (+.f64 z x) y)
(*.f64 (+.f64 z x) y)
(*.f64 (+.f64 z x) y)
(*.f64 (+.f64 z x) y)
(*.f64 (+.f64 z x) y)
(fma.f64 (+.f64 z x) y x)
(fma.f64 (+.f64 z x) y x)
(fma.f64 (+.f64 z x) y x)
(*.f64 (+.f64 z x) y)
(*.f64 (+.f64 z x) y)
(*.f64 (+.f64 z x) y)
(*.f64 (+.f64 z x) y)
(*.f64 z y)
(fma.f64 (+.f64 z x) y x)
(fma.f64 (+.f64 z x) y x)
(fma.f64 (+.f64 z x) y x)
(*.f64 z y)
(*.f64 (+.f64 z x) y)
(*.f64 (+.f64 z x) y)
(*.f64 (+.f64 z x) y)
z
(+.f64 z x)
(+.f64 z x)
(+.f64 z x)
(fma.f64 y x x)
(fma.f64 (+.f64 z x) y x)
(fma.f64 (+.f64 z x) y x)
(fma.f64 (+.f64 z x) y x)
(*.f64 y x)
(*.f64 (+.f64 z x) y)
(*.f64 (+.f64 z x) y)
(*.f64 (+.f64 z x) y)
x
(+.f64 z x)
(+.f64 z x)
(+.f64 z x)
(fma.f64 y x x)
(fma.f64 (+.f64 z x) y x)
(fma.f64 (+.f64 z x) y x)
(fma.f64 (+.f64 z x) y x)
(*.f64 y x)
(*.f64 (+.f64 z x) y)
(*.f64 (+.f64 z x) y)
(*.f64 (+.f64 z x) y)
x
(+.f64 z x)
(+.f64 z x)
(+.f64 z x)

rewrite203.0ms (5.7%)

Memory

35.3MiB live, 223.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	41	15
2	351	15
3	4269	15
0	8638	14

Stop Event

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

Counts

3 → 245

Calls

Call 1

Inputs
(+.f64 x (*.f64 y (+.f64 z x)))
(*.f64 y (+.f64 z x))
(+.f64 z x)

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

eval42.0ms (1.2%)

Memory: -20.4MiB live, 63.4MiB allocated
Compiler: Compiled 6 970 to 820 computations (88.2% saved)

prune8.0ms (0.2%)

Memory

23.6MiB live, 23.6MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	328	6	334
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	329	6	335

Accuracy

100.0%

Counts

335 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (+.f64 z x) y x)
	99.2%	(fma.f64 z y (fma.f64 y x x))
▶	76.5%	(+.f64 x #s(approx (* y (+ z x)) (*.f64 z y)))
▶	60.9%	#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
▶	67.8%	#s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y))
▶	45.1%	#s(approx (+ x (* y (+ z x))) (*.f64 z y))

Compiler

Compiled 120 to 86 computations (28.3% saved)

simplify8.0ms (0.2%)

Memory

-31.6MiB live, 6.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	96
0	23	93
1	37	93
2	45	93
3	56	93
4	56	93
5	69	93
6	69	93
7	81	93
8	83	93
9	87	93
0	87	93

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 (+.f64 z x) y x)
(+.f64 z x)
z
x
y
#s(approx (+ x (* y (+ z x))) (*.f64 z y))
(*.f64 z y)
z
y
#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
(fma.f64 y x x)
y
x
#s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y))
(*.f64 (+.f64 z x) y)
(+.f64 z x)
z
x
y
(+.f64 x #s(approx (* y (+ z x)) (*.f64 z y)))
x
#s(approx (* y (+ z x)) (*.f64 z y))
(*.f64 z y)
z
y

Outputs
(fma.f64 y (+.f64 x z) x)
(+.f64 x z)
z
x
y
#s(approx (+ x (* y (+ z x))) (*.f64 y z))
(*.f64 y z)
z
y
#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
(fma.f64 y x x)
y
x
#s(approx (+ x (* y (+ z x))) (*.f64 y (+.f64 x z)))
(*.f64 y (+.f64 x z))
(+.f64 x z)
z
x
y
(+.f64 #s(approx (* y (+ z x)) (*.f64 y z)) x)
x
#s(approx (* y (+ z x)) (*.f64 y z))
(*.f64 y z)
z
y

localize38.0ms (1.1%)

Memory

23.7MiB live, 59.6MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 z y)
accuracy	0.01171875	(+.f64 x #s(approx (* y (+ z x)) (*.f64 z y)))
accuracy	27.550538414963345	#s(approx (* y (+ z x)) (*.f64 z y))
accuracy	0	(+.f64 z x)
accuracy	0.0078125	(*.f64 (+.f64 z x) y)
accuracy	20.617105326371163	#s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y))
accuracy	0	(fma.f64 y x x)
accuracy	24.997598376121775	#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
accuracy	0	(*.f64 z y)
accuracy	35.118935989964136	#s(approx (+ x (* y (+ z x))) (*.f64 z y))
accuracy	0	(+.f64 z x)
accuracy	0.00390625	(fma.f64 (+.f64 z x) y x)

Samples

29.0ms

256×

valid

Compiler

Compiled 173 to 29 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 12.0ms (68.2% of total)

ival-add: 5.0ms (28.4% of total)

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

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

series20.0ms (0.6%)

Memory

-6.5MiB live, 31.1MiB allocated

Counts

10 → 324

Calls

Call 1

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

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

9 calls:

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

simplify221.0ms (6.2%)

Memory

4.2MiB live, 100.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	1700
1	273	1700
2	776	1700
3	2156	1700
4	4273	1700
5	5614	1700
6	6635	1700
7	7068	1700
8	7339	1700
9	7529	1700
0	8403	1529

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 312

Calls

Call 1

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

Outputs
(fma.f64 y x x)
(fma.f64 (+.f64 x z) y x)
(fma.f64 (+.f64 x z) y x)
(fma.f64 (+.f64 x z) y x)
x
(+.f64 x z)
(+.f64 x z)
(+.f64 x z)
(fma.f64 y x x)
(fma.f64 (+.f64 x z) y x)
(fma.f64 (+.f64 x z) y x)
(fma.f64 (+.f64 x z) y x)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(fma.f64 y x x)
(fma.f64 (+.f64 x z) y x)
(fma.f64 (+.f64 x z) y x)
(fma.f64 (+.f64 x z) y x)
(fma.f64 y x x)
(fma.f64 (+.f64 x z) y x)
(fma.f64 (+.f64 x z) y x)
(fma.f64 (+.f64 x z) y x)
(*.f64 y x)
(*.f64 (+.f64 x z) y)
(*.f64 (+.f64 x z) y)
(*.f64 (+.f64 x z) y)
(fma.f64 y x x)
(fma.f64 (+.f64 x z) y x)
(fma.f64 (+.f64 x z) y x)
(fma.f64 (+.f64 x z) y x)
(*.f64 y x)
(*.f64 (+.f64 x z) y)
(*.f64 (+.f64 x z) y)
(*.f64 (+.f64 x z) y)
(*.f64 y z)
(fma.f64 (+.f64 x z) y x)
(fma.f64 (+.f64 x z) y x)
(fma.f64 (+.f64 x z) y x)
z
(+.f64 x z)
(+.f64 x z)
(+.f64 x z)
(*.f64 y z)
(fma.f64 (+.f64 x z) y x)
(fma.f64 (+.f64 x z) y x)
(fma.f64 (+.f64 x z) y x)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(fma.f64 (+.f64 x z) y x)
(fma.f64 (+.f64 x z) y x)
(fma.f64 (+.f64 x z) y x)
(*.f64 y z)
(fma.f64 (+.f64 x z) y x)
(fma.f64 (+.f64 x z) y x)
(fma.f64 (+.f64 x z) y x)
(*.f64 y z)
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(*.f64 (+.f64 x z) y)
(*.f64 (+.f64 x z) y)
(*.f64 y z)
(fma.f64 (+.f64 x z) y x)
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(*.f64 (+.f64 x z) y)
(*.f64 (+.f64 x z) y)
(*.f64 y z)
(fma.f64 (+.f64 x z) y x)
(fma.f64 (+.f64 x z) y x)
(fma.f64 (+.f64 x z) y x)
z
(+.f64 x z)
(+.f64 x z)
(+.f64 x z)
(*.f64 y z)
(fma.f64 (+.f64 x z) y x)
(fma.f64 (+.f64 x z) y x)
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(*.f64 y z)
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(fma.f64 (+.f64 x z) y x)
(fma.f64 (+.f64 x z) y x)
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(*.f64 (+.f64 x z) y)
(*.f64 (+.f64 x z) y)
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(*.f64 y z)
(fma.f64 (+.f64 x z) y x)
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(fma.f64 (+.f64 x z) y x)
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(fma.f64 (+.f64 x z) y x)
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x
(fma.f64 y x x)
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(fma.f64 y x x)
x
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(*.f64 (+.f64 x z) y)
x
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(*.f64 y z)
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(fma.f64 (+.f64 x z) y x)
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(*.f64 y x)
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(fma.f64 (+.f64 x z) y x)
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(fma.f64 (+.f64 x z) y x)
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(*.f64 (+.f64 x z) y)
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(*.f64 y z)
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(*.f64 y z)
(*.f64 (+.f64 x z) y)
(fma.f64 (+.f64 x z) y x)
(fma.f64 (+.f64 x z) y x)
(fma.f64 (+.f64 x z) y x)
(*.f64 y x)
(fma.f64 y x x)
(fma.f64 y x x)
(fma.f64 y x x)
(*.f64 (+.f64 x z) y)
(fma.f64 (+.f64 x z) y x)
(fma.f64 (+.f64 x z) y x)
(fma.f64 (+.f64 x z) y x)
(*.f64 (+.f64 x z) y)
(*.f64 (+.f64 x z) y)
(*.f64 (+.f64 x z) y)
(*.f64 (+.f64 x z) y)
(*.f64 (+.f64 x z) y)
(fma.f64 (+.f64 x z) y x)
(fma.f64 (+.f64 x z) y x)
(fma.f64 (+.f64 x z) y x)
(*.f64 (+.f64 x z) y)
(*.f64 (+.f64 x z) y)
(*.f64 (+.f64 x z) y)
(*.f64 (+.f64 x z) y)
(*.f64 y z)
(fma.f64 (+.f64 x z) y x)
(fma.f64 (+.f64 x z) y x)
(fma.f64 (+.f64 x z) y x)
z
(+.f64 x z)
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(*.f64 y z)
(fma.f64 (+.f64 x z) y x)
(fma.f64 (+.f64 x z) y x)
(fma.f64 (+.f64 x z) y x)
(*.f64 y z)
(fma.f64 (+.f64 x z) y x)
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(fma.f64 y x x)
(fma.f64 y x x)
(fma.f64 y x x)
(fma.f64 y x x)
(*.f64 y z)
(fma.f64 (+.f64 x z) y x)
(fma.f64 (+.f64 x z) y x)
(fma.f64 (+.f64 x z) y x)
(*.f64 y z)
(*.f64 (+.f64 x z) y)
(*.f64 (+.f64 x z) y)
(*.f64 (+.f64 x z) y)
(*.f64 y z)
(fma.f64 (+.f64 x z) y x)
(fma.f64 (+.f64 x z) y x)
(fma.f64 (+.f64 x z) y x)
(*.f64 y z)
(*.f64 (+.f64 x z) y)
(*.f64 (+.f64 x z) y)
(*.f64 (+.f64 x z) y)
(fma.f64 y x x)
(fma.f64 (+.f64 x z) y x)
(fma.f64 (+.f64 x z) y x)
(fma.f64 (+.f64 x z) y x)
x
(+.f64 x z)
(+.f64 x z)
(+.f64 x z)
(fma.f64 y x x)
(fma.f64 (+.f64 x z) y x)
(fma.f64 (+.f64 x z) y x)
(fma.f64 (+.f64 x z) y x)
(fma.f64 y x x)
(fma.f64 (+.f64 x z) y x)
(fma.f64 (+.f64 x z) y x)
(fma.f64 (+.f64 x z) y x)
(fma.f64 y x x)
(fma.f64 y x x)
(fma.f64 y x x)
(fma.f64 y x x)
(fma.f64 y x x)
(fma.f64 (+.f64 x z) y x)
(fma.f64 (+.f64 x z) y x)
(fma.f64 (+.f64 x z) y x)
(*.f64 y x)
(*.f64 (+.f64 x z) y)
(*.f64 (+.f64 x z) y)
(*.f64 (+.f64 x z) y)
(fma.f64 y x x)
(fma.f64 (+.f64 x z) y x)
(fma.f64 (+.f64 x z) y x)
(fma.f64 (+.f64 x z) y x)
(*.f64 y x)
(*.f64 (+.f64 x z) y)
(*.f64 (+.f64 x z) y)
(*.f64 (+.f64 x z) y)
(fma.f64 y x x)
(fma.f64 (+.f64 x z) y x)
(fma.f64 (+.f64 x z) y x)
(fma.f64 (+.f64 x z) y x)
x
(+.f64 x z)
(+.f64 x z)
(+.f64 x z)
(fma.f64 y x x)
(fma.f64 (+.f64 x z) y x)
(fma.f64 (+.f64 x z) y x)
(fma.f64 (+.f64 x z) y x)
(fma.f64 y x x)
(fma.f64 (+.f64 x z) y x)
(fma.f64 (+.f64 x z) y x)
(fma.f64 (+.f64 x z) y x)
(fma.f64 y x x)
(fma.f64 y x x)
(fma.f64 y x x)
(fma.f64 y x x)
(fma.f64 y x x)
(fma.f64 (+.f64 x z) y x)
(fma.f64 (+.f64 x z) y x)
(fma.f64 (+.f64 x z) y x)
(*.f64 y x)
(*.f64 (+.f64 x z) y)
(*.f64 (+.f64 x z) y)
(*.f64 (+.f64 x z) y)
(fma.f64 y x x)
(fma.f64 (+.f64 x z) y x)
(fma.f64 (+.f64 x z) y x)
(fma.f64 (+.f64 x z) y x)
(*.f64 y x)
(*.f64 (+.f64 x z) y)
(*.f64 (+.f64 x z) y)
(*.f64 (+.f64 x z) y)

rewrite180.0ms (5%)

Memory

-14.8MiB live, 175.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	77
0	23	74
1	95	74
2	640	74
0	8020	74

Stop Event

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

Counts

10 → 387

Calls

Call 1

Inputs
(fma.f64 (+.f64 z x) y x)
(+.f64 z x)
#s(approx (+ x (* y (+ z x))) (*.f64 z y))
(*.f64 z y)
#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
(fma.f64 y x x)
#s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y))
(*.f64 (+.f64 z x) y)
(+.f64 x #s(approx (* y (+ z x)) (*.f64 z y)))
#s(approx (* y (+ z x)) (*.f64 z y))

Outputs
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eval102.0ms (2.8%)

Memory: 13.7MiB live, 207.4MiB allocated
Compiler: Compiled 18 492 to 1 282 computations (93.1% saved)

prune25.0ms (0.7%)

Memory

-9.9MiB live, 76.2MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	797	2	799
Fresh	1	0	1
Picked	0	5	5
Done	0	0	0
Total	798	7	805

Accuracy

100.0%

Counts

805 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 z x) y x)
✓	76.5%	(+.f64 x #s(approx (* y (+ z x)) (*.f64 z y)))
▶	67.0%	#s(approx (+ x (* y (+ z x))) (fma.f64 z y (*.f64 y x)))
✓	60.9%	#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
✓	67.8%	#s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y))
✓	45.1%	#s(approx (+ x (* y (+ z x))) (*.f64 z y))
▶	28.8%	#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))

Compiler

Compiled 84 to 58 computations (31% saved)

simplify5.0ms (0.2%)

Memory

8.7MiB live, 8.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (+ x (* y (+ z x))) (fma.f64 z y (*.f64 y x)))
cost-diff	192	(fma.f64 z y (*.f64 y x))
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (+ (* y x) x) (*.f64 y x))
cost-diff	0	#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	57
0	16	55
1	29	55
2	39	55
3	47	55
4	47	55
5	60	55
6	60	55
7	72	55
8	74	55
9	78	55
0	78	51

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))
#s(approx (+ (* y x) x) (*.f64 y x))
(*.f64 y x)
y
x
#s(approx (+ x (* y (+ z x))) (fma.f64 z y (*.f64 y x)))
(fma.f64 z y (*.f64 y x))
z
y
(*.f64 y x)
x

Outputs
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))
#s(approx (+ (* y x) x) (*.f64 y x))
(*.f64 y x)
y
x
#s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y))
(*.f64 (+.f64 z x) y)
z
y
(*.f64 y x)
x

localize27.0ms (0.8%)

Memory

9.2MiB live, 47.2MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y x)
accuracy	0.5039007452111204	(fma.f64 z y (*.f64 y x))
accuracy	20.617105326371163	#s(approx (+ x (* y (+ z x))) (fma.f64 z y (*.f64 y x)))
accuracy	0	(*.f64 y x)
accuracy	24.997598376121775	#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))
accuracy	30.97279473969426	#s(approx (+ (* y x) x) (*.f64 y x))

Samples

20.0ms

256×

valid

Compiler

Compiled 96 to 25 computations (74% saved)

Precisions

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

ival-mult: 6.0ms (50.5% of total)

ival-add: 5.0ms (42.1% of total)

ival-true: 1.0ms (8.4% of total)

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

series12.0ms (0.3%)

Memory

-18.1MiB live, 19.1MiB allocated

Counts

5 → 156

Calls

Call 1

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

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

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((+ x (* y (+ z x))) (+ (* y x) x) (* y x) (+ (* z y) (* y x)) (+ x (* y (+ z x))))
1.0ms	y	@	-inf	((+ x (* y (+ z x))) (+ (* y x) x) (* y x) (+ (* z y) (* y x)) (+ x (* y (+ z x))))
1.0ms	x	@	inf	((+ x (* y (+ z x))) (+ (* y x) x) (* y x) (+ (* z y) (* y x)) (+ x (* y (+ z x))))
0.0ms	y	@	inf	((+ x (* y (+ z x))) (+ (* y x) x) (* y x) (+ (* z y) (* y x)) (+ x (* y (+ z x))))
0.0ms	y	@	0	((+ x (* y (+ z x))) (+ (* y x) x) (* y x) (+ (* z y) (* y x)) (+ x (* y (+ z x))))

simplify122.0ms (3.4%)

Memory

15.4MiB live, 136.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	800
1	245	800
2	703	800
3	1842	800
4	4687	800
5	6747	800
0	8109	719

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 153

Calls

Call 1

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

Outputs
(fma.f64 y x x)
(fma.f64 (+.f64 z x) y x)
(fma.f64 (+.f64 z x) y x)
(fma.f64 (+.f64 z x) y x)
(*.f64 y x)
(*.f64 (+.f64 z x) y)
(*.f64 (+.f64 z x) y)
(*.f64 (+.f64 z x) y)
(fma.f64 y x x)
(fma.f64 (+.f64 z x) y x)
(fma.f64 (+.f64 z x) y x)
(fma.f64 (+.f64 z x) y x)
(*.f64 z y)
(fma.f64 (+.f64 z x) y x)
(fma.f64 (+.f64 z x) y x)
(fma.f64 (+.f64 z x) y x)
(*.f64 z y)
(*.f64 (+.f64 z x) y)
(*.f64 (+.f64 z x) y)
(*.f64 (+.f64 z x) y)
(*.f64 z y)
(fma.f64 (+.f64 z x) y x)
(fma.f64 (+.f64 z x) y x)
(fma.f64 (+.f64 z x) y x)
(*.f64 z y)
(fma.f64 (+.f64 z x) y x)
(fma.f64 (+.f64 z x) y x)
(fma.f64 (+.f64 z x) y x)
(*.f64 z y)
(*.f64 (+.f64 z x) y)
(*.f64 (+.f64 z x) y)
(*.f64 (+.f64 z x) y)
(*.f64 z y)
(fma.f64 (+.f64 z x) y x)
(fma.f64 (+.f64 z x) y x)
(fma.f64 (+.f64 z x) y x)
x
(fma.f64 (+.f64 z x) y x)
(fma.f64 (+.f64 z x) y x)
(fma.f64 (+.f64 z x) y x)
x
(fma.f64 y x x)
(fma.f64 y x x)
(fma.f64 y x x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 (+.f64 z x) y)
(*.f64 (+.f64 z x) y)
(*.f64 (+.f64 z x) y)
(*.f64 (+.f64 z x) y)
x
(fma.f64 (+.f64 z x) y x)
(fma.f64 (+.f64 z x) y x)
(fma.f64 (+.f64 z x) y x)
(*.f64 (+.f64 z x) y)
(fma.f64 (+.f64 z x) y x)
(fma.f64 (+.f64 z x) y x)
(fma.f64 (+.f64 z x) y x)
(*.f64 y x)
(fma.f64 y x x)
(fma.f64 y x x)
(fma.f64 y x x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 (+.f64 z x) y)
(*.f64 (+.f64 z x) y)
(*.f64 (+.f64 z x) y)
(*.f64 (+.f64 z x) y)
(*.f64 (+.f64 z x) y)
(fma.f64 (+.f64 z x) y x)
(fma.f64 (+.f64 z x) y x)
(fma.f64 (+.f64 z x) y x)
(*.f64 (+.f64 z x) y)
(fma.f64 (+.f64 z x) y x)
(fma.f64 (+.f64 z x) y x)
(fma.f64 (+.f64 z x) y x)
(*.f64 y x)
(fma.f64 y x x)
(fma.f64 y x x)
(fma.f64 y x x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 (+.f64 z x) y)
(*.f64 (+.f64 z x) y)
(*.f64 (+.f64 z x) y)
(*.f64 (+.f64 z x) y)
(*.f64 (+.f64 z x) y)
(fma.f64 (+.f64 z x) y x)
(fma.f64 (+.f64 z x) y x)
(fma.f64 (+.f64 z x) y x)
(*.f64 z y)
(fma.f64 (+.f64 z x) y x)
(fma.f64 (+.f64 z x) y x)
(fma.f64 (+.f64 z x) y x)
(fma.f64 y x x)
(fma.f64 y x x)
(fma.f64 y x x)
(fma.f64 y x x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 z y)
(*.f64 (+.f64 z x) y)
(*.f64 (+.f64 z x) y)
(*.f64 (+.f64 z x) y)
(*.f64 z y)
(fma.f64 (+.f64 z x) y x)
(fma.f64 (+.f64 z x) y x)
(fma.f64 (+.f64 z x) y x)
(fma.f64 y x x)
(fma.f64 (+.f64 z x) y x)
(fma.f64 (+.f64 z x) y x)
(fma.f64 (+.f64 z x) y x)
(fma.f64 y x x)
(fma.f64 y x x)
(fma.f64 y x x)
(fma.f64 y x x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 (+.f64 z x) y)
(*.f64 (+.f64 z x) y)
(*.f64 (+.f64 z x) y)
(fma.f64 y x x)
(fma.f64 (+.f64 z x) y x)
(fma.f64 (+.f64 z x) y x)
(fma.f64 (+.f64 z x) y x)
(fma.f64 y x x)
(fma.f64 (+.f64 z x) y x)
(fma.f64 (+.f64 z x) y x)
(fma.f64 (+.f64 z x) y x)
(fma.f64 y x x)
(fma.f64 y x x)
(fma.f64 y x x)
(fma.f64 y x x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 (+.f64 z x) y)
(*.f64 (+.f64 z x) y)
(*.f64 (+.f64 z x) y)
(fma.f64 y x x)
(fma.f64 (+.f64 z x) y x)
(fma.f64 (+.f64 z x) y x)
(fma.f64 (+.f64 z x) y x)

rewrite193.0ms (5.4%)

Memory

-15.4MiB live, 181.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	49
0	16	47
1	72	47
2	593	47
0	8642	43

Stop Event

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

Counts

5 → 83

Calls

Call 1

Inputs
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))
#s(approx (+ (* y x) x) (*.f64 y x))
(*.f64 y x)
(fma.f64 z y (*.f64 y x))
#s(approx (+ x (* y (+ z x))) (fma.f64 z y (*.f64 y x)))

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>
#<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>

eval46.0ms (1.3%)

Memory: 20.2MiB live, 66.3MiB allocated
Compiler: Compiled 5 429 to 345 computations (93.6% saved)

prune13.0ms (0.4%)

Memory

11.3MiB live, 44.5MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	262	0	262
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	262	7	269

Accuracy

100.0%

Counts

269 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 z x) y x)
✓	76.5%	(+.f64 x #s(approx (* y (+ z x)) (*.f64 z y)))
✓	67.0%	#s(approx (+ x (* y (+ z x))) (fma.f64 z y (*.f64 y x)))
✓	60.9%	#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
✓	67.8%	#s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y))
✓	45.1%	#s(approx (+ x (* y (+ z x))) (*.f64 z y))
✓	28.8%	#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))

Compiler

Compiled 182 to 84 computations (53.8% saved)

regimes27.0ms (0.7%)

Memory

-0.1MiB live, 44.1MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))
#s(approx (+ x (* y (+ z x))) (*.f64 z y))
#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
#s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y))
(+.f64 x #s(approx (* y (+ z x)) (*.f64 z y)))
(fma.f64 (+.f64 z x) y x)
#s(approx (+ x (* y (+ z x))) (fma.f64 z y (*.f64 y x)))
(+.f64 x (*.f64 y (+.f64 z x)))
(fma.f64 z y (fma.f64 y x x))

Outputs
(fma.f64 (+.f64 z x) y x)

Calls

4 calls:

15.0ms	(+.f64 x (*.f64 y (+.f64 z x)))
4.0ms	z
4.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(+.f64 x (*.f64 y (+.f64 z x)))`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes14.0ms (0.4%)

Memory

-17.3MiB live, 20.4MiB allocated

Counts

5 → 3

Calls

Call 1

Inputs
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))
#s(approx (+ x (* y (+ z x))) (*.f64 z y))
#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
#s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y))
(+.f64 x #s(approx (* y (+ z x)) (*.f64 z y)))

Outputs
#s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y))
(+.f64 x #s(approx (* y (+ z x)) (*.f64 z y)))
#s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y))

Calls

4 calls:

6.0ms	x
3.0ms	y
3.0ms	z
2.0ms	(+.f64 x (*.f64 y (+.f64 z x)))

Results

Accuracy	Segments	Branch
90.7%	3	`x`
98.5%	3	`y`
89.6%	3	`z`
86.7%	3	`(+.f64 x (*.f64 y (+.f64 z x)))`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes7.0ms (0.2%)

Memory

14.3MiB live, 14.3MiB allocated

Counts

4 → 3

Calls

Call 1

Inputs
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))
#s(approx (+ x (* y (+ z x))) (*.f64 z y))
#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
#s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y))

Outputs
#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
#s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y))
#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))

Calls

3 calls:

2.0ms	z
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
82.4%	3	`z`
86.8%	3	`x`
85.1%	3	`y`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes6.0ms (0.2%)

Memory

12.7MiB live, 12.7MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))
#s(approx (+ x (* y (+ z x))) (*.f64 z y))
#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))

Outputs
#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
#s(approx (+ x (* y (+ z x))) (*.f64 z y))
#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))

Calls

3 calls:

2.0ms	y
2.0ms	x
2.0ms	(+.f64 x (*.f64 y (+.f64 z x)))

Results

Accuracy	Segments	Branch
67.4%	4	`y`
63.1%	2	`(+.f64 x (*.f64 y (+.f64 z x)))`
83.0%	3	`x`

Compiler

Compiled 9 to 12 computations (-33.3% saved)

regimes18.0ms (0.5%)

Memory

-34.3MiB live, 14.8MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))
#s(approx (+ x (* y (+ z x))) (*.f64 z y))

Outputs
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))
#s(approx (+ x (* y (+ z x))) (*.f64 z y))
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))

Calls

4 calls:

12.0ms	y
2.0ms	z
2.0ms	x
2.0ms	(+.f64 x (*.f64 y (+.f64 z x)))

Results

Accuracy	Segments	Branch
47.6%	2	`(+.f64 x (*.f64 y (+.f64 z x)))`
51.0%	4	`y`
57.6%	3	`z`
58.7%	3	`x`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes6.0ms (0.2%)

Memory

12.8MiB live, 12.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))

Outputs
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))

Calls

4 calls:

1.0ms	x
1.0ms	y
1.0ms	z
1.0ms	(+.f64 x (*.f64 y (+.f64 z x)))

Results

Accuracy	Segments	Branch
28.8%	1	`(+.f64 x (*.f64 y (+.f64 z x)))`
28.8%	1	`y`
28.8%	1	`z`
28.8%	1	`x`

Compiler

Compiled 10 to 15 computations (-50% saved)

bsearch24.0ms (0.7%)

Memory

1.9MiB live, 39.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	9.302345143727795e-10	0.0008105783715325085
8.0ms	-936.1484432276291	-72.1402902541629

Samples

13.0ms

240×

valid

Compiler

Compiled 370 to 297 computations (19.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-add: 2.0ms (46.6% of total)

ival-mult: 2.0ms (46.6% of total)

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

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

bsearch35.0ms (1%)

Memory

-0.8MiB live, 35.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	3.528695574079803e+28	4.258655926795692e+31
10.0ms	-5.772139200411518e-73	-1.9402543305835266e-76

Samples

12.0ms

256×

valid

Compiler

Compiled 410 to 316 computations (22.9% saved)

Precisions

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

ival-add: 3.0ms (55.1% of total)

ival-mult: 2.0ms (36.8% of total)

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

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

bsearch21.0ms (0.6%)

Memory

-12.4MiB live, 25.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	3.528695574079803e+28	4.258655926795692e+31
5.0ms	-5.772139200411518e-73	-1.9402543305835266e-76

Samples

7.0ms

160×

valid

Compiler

Compiled 378 to 300 computations (20.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-add: 2.0ms (70% of total)

ival-mult: 1.0ms (35% of total)

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

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

bsearch16.0ms (0.4%)

Memory

32.3MiB live, 32.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	2.99520320317134e+41	2.3378014705212747e+62
1.0ms	-5.772139200411518e-73	-1.9402543305835266e-76

Samples

7.0ms

176×

valid

Compiler

Compiled 542 to 411 computations (24.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-add: 2.0ms (64.2% of total)

ival-mult: 1.0ms (32.1% of total)

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

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

simplify49.0ms (1.4%)

Memory

-33.2MiB live, 61.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	209
1	48	209

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (+.f64 z x) y x)
(if (<=.f64 y #s(literal -75 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 (+.f64 z x) y)) (if (<=.f64 y #s(literal 7378697629483821/9223372036854775808 binary64)) (+.f64 x #s(approx ( y (+ z x)) (.f64 z y))) #s(approx (+ x ( y (+ z x))) (*.f64 (+.f64 z x) y))))
(if (<=.f64 x #s(literal -8912032396463377/15914343565113172548972231940698266883214596825515126958094847260581103904401068017057792 binary64)) #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) (if (<=.f64 x #s(literal 28000000000000001682669402324992 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 (+.f64 z x) y)) #s(approx (+ x ( y (+ z x))) (fma.f64 y x x))))
(if (<=.f64 x #s(literal -55948864096101/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264 binary64)) #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) (if (<=.f64 x #s(literal 45999999999999996762936836096 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 z y)) #s(approx (+ x ( y (+ z x))) (fma.f64 y x x))))
(if (<=.f64 x #s(literal -8912032396463377/15914343565113172548972231940698266883214596825515126958094847260581103904401068017057792 binary64)) #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (.f64 y x))) (if (<=.f64 x #s(literal 9200000000000000494652599231133532570395869184 binary64)) #s(approx (+ x ( y (+ z x))) (.f64 z y)) #s(approx (+ x ( y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))))
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))

Outputs
(fma.f64 (+.f64 x z) y x)
(if (<=.f64 y #s(literal -75 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 y (+.f64 x z))) (if (<=.f64 y #s(literal 7378697629483821/9223372036854775808 binary64)) (+.f64 #s(approx ( y (+ z x)) (.f64 y z)) x) #s(approx (+ x ( y (+ z x))) (*.f64 y (+.f64 x z)))))
(if (<=.f64 x #s(literal -8912032396463377/15914343565113172548972231940698266883214596825515126958094847260581103904401068017057792 binary64)) #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) (if (<=.f64 x #s(literal 28000000000000001682669402324992 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 y (+.f64 x z))) #s(approx (+ x ( y (+ z x))) (fma.f64 y x x))))
(if (<=.f64 x #s(literal -55948864096101/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264 binary64)) #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) (if (<=.f64 x #s(literal 45999999999999996762936836096 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 y z)) #s(approx (+ x ( y (+ z x))) (fma.f64 y x x))))
(if (<=.f64 x #s(literal -8912032396463377/15914343565113172548972231940698266883214596825515126958094847260581103904401068017057792 binary64)) #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (.f64 y x))) (if (<=.f64 x #s(literal 9200000000000000494652599231133532570395869184 binary64)) #s(approx (+ x ( y (+ z x))) (.f64 y z)) #s(approx (+ x ( y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))))
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))

soundness1.1s (30.3%)

Memory

30.8MiB live, 339.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	452
1	249	452
2	731	452
3	2094	452
4	4282	452
5	5652	452
6	6779	452
7	7701	452
0	8091	422
0	6	15
0	9	15
1	41	15
2	351	15
3	4269	15
0	8638	14
0	76	1700
1	273	1700
2	776	1700
3	2156	1700
4	4273	1700
5	5614	1700
6	6635	1700
7	7068	1700
8	7339	1700
9	7529	1700
0	8403	1529

Stop Event

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

Compiler

Compiled 259 to 95 computations (63.3% saved)

preprocess68.0ms (1.9%)

Memory: -6.3MiB live, 152.0MiB allocated
Compiler: Compiled 432 to 98 computations (77.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	6	18
0	9	18
1	18	18
2	29	18
3	38	18
4	42	18
5	48	18
6	48	18
7	61	18
8	61	18
9	73	18
10	75	18
11	79	18
0	79	17

Iter	Nodes	Cost
0	16	96
0	23	93
1	37	93
2	45	93
3	56	93
4	56	93
5	69	93
6	69	93
7	81	93
8	83	93
9	87	93
0	87	93

Iter	Nodes	Cost
0	13	57
0	16	55
1	29	55
2	39	55
3	47	55
4	47	55
5	60	55
6	60	55
7	72	55
8	74	55
9	78	55
0	78	51

Iter	Nodes	Cost
0	6	18
0	9	18
1	18	18
2	29	18
3	38	18
4	42	18
5	48	18
6	48	18
7	61	18
8	61	18
9	73	18
10	75	18
11	79	18
0	79	17

Iter	Nodes	Cost
0	16	96
0	23	93
1	37	93
2	45	93
3	56	93
4	56	93
5	69	93
6	69	93
7	81	93
8	83	93
9	87	93
0	87	93

Iter	Nodes	Cost
0	13	57
0	16	55
1	29	55
2	39	55
3	47	55
4	47	55
5	60	55
6	60	55
7	72	55
8	74	55
9	78	55
0	78	51

start0.0ms (0%)

analyze0.0ms (0%)

sample623.0ms (17.4%)

explain67.0ms (1.9%)

preprocess55.0ms (1.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0.1%)

localize30.0ms (0.8%)

series7.0ms (0.2%)

simplify149.0ms (4.2%)

rewrite203.0ms (5.7%)

eval42.0ms (1.2%)

prune8.0ms (0.2%)

simplify8.0ms (0.2%)

localize38.0ms (1.1%)

series20.0ms (0.6%)

simplify221.0ms (6.2%)

rewrite180.0ms (5%)

eval102.0ms (2.8%)

prune25.0ms (0.7%)

simplify5.0ms (0.2%)

localize27.0ms (0.8%)

series12.0ms (0.3%)

simplify122.0ms (3.4%)

rewrite193.0ms (5.4%)

eval46.0ms (1.3%)

prune13.0ms (0.4%)

regimes27.0ms (0.7%)

regimes14.0ms (0.4%)

regimes7.0ms (0.2%)

regimes6.0ms (0.2%)

regimes18.0ms (0.5%)

regimes6.0ms (0.2%)

bsearch24.0ms (0.7%)

bsearch35.0ms (1%)

bsearch21.0ms (0.6%)

bsearch16.0ms (0.4%)

simplify49.0ms (1.4%)

soundness1.1s (30.3%)

preprocess68.0ms (1.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	18
0	9	18
1	18	18
2	29	18
3	38	18
4	42	18
5	48	18
6	48	18
7	61	18
8	61	18
9	73	18
10	75	18
11	79	18
0	79	17

Iter	Nodes	Cost
0	16	96
0	23	93
1	37	93
2	45	93
3	56	93
4	56	93
5	69	93
6	69	93
7	81	93
8	83	93
9	87	93
0	87	93

Iter	Nodes	Cost
0	13	57
0	16	55
1	29	55
2	39	55
3	47	55
4	47	55
5	60	55
6	60	55
7	72	55
8	74	55
9	78	55
0	78	51