Metrics for Optimisation.CirclePacking:place from circle-packing-0.1.0.4, I

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 7 to 7 computations (0% saved)

sample569.0ms (23.6%)

Memory

3.1MiB live, 1 034.7MiB allocated

Samples

272.0ms	8 249×	0	valid
0.0ms	5×	2	valid
0.0ms	1×	3	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

ival-add: 86.0ms (90.9% of total)

ival-true: 5.0ms (5.3% of total)

ival-assert: 3.0ms (3.2% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain47.0ms (1.9%)

Memory

35.8MiB live, 110.2MiB allocated

FPErrors

Click to see full error table

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

17.0ms

512×

valid

Compiler

Compiled 34 to 19 computations (44.1% saved)

Precisions

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

ival-add: 5.0ms (93% of total)

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

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

preprocess28.0ms (1.2%)

Memory

-16.1MiB live, 33.7MiB allocated

Algorithm

1×	egg-herbie

Rules

132×	`associate--r+`
126×	`sub-neg`
120×	`associate-+l-`
112×	`distribute-rgt-in`
106×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	50
1	62	45
2	191	45
3	490	45
4	780	45
5	843	45
6	859	45
0	5	5
0	7	5
1	11	5
2	18	5
3	20	5
0	20	5

Stop Event

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

Calls

Call 1

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

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

Symmetry

(sort x y z)

Compiler

Compiled 8 to 5 computations (37.5% saved)

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify3.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

24×	`lower-+.f32`
20×	`lower-+.f64`
10×	`+-commutative`
6×	`associate-+l+`
6×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
0	7	11
1	11	11
2	18	11
3	20	11
0	20	11

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize13.0ms (0.6%)

Memory

-9.9MiB live, 29.3MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(+.f64 x y)
accuracy	0.00390625	(+.f64 (+.f64 x y) z)

Samples

9.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-add: 3.0ms (87.9% of total)

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

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

series3.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated

Counts

2 → 60

Calls

Call 1

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

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

Calls

9 calls:

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

simplify121.0ms (5%)

Memory

5.9MiB live, 125.6MiB allocated

Algorithm

1×	egg-herbie

Rules

4 768×	`lower-/.f32`
4 768×	`lower-/.f64`
2 864×	`lower-fma.f64`
2 864×	`lower-fma.f32`
2 160×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	210
1	148	210
2	381	210
3	1186	210
4	2945	210
5	4910	210
6	5892	210
7	6011	210
8	6105	210
9	6119	210
0	8863	210

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 48

Calls

Call 1

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

Outputs
(+ x y)
(+.f64 y x)
(+ x (+ y z))
(+.f64 (+.f64 z x) y)
(+ x (+ y z))
(+.f64 (+.f64 z x) y)
(+ x (+ y z))
(+.f64 (+.f64 z x) y)
z
(* z (+ 1 (+ (/ x z) (/ y z))))
(+.f64 (+.f64 z x) y)
(* z (+ 1 (+ (/ x z) (/ y z))))
(+.f64 (+.f64 z x) y)
(* z (+ 1 (+ (/ x z) (/ y z))))
(+.f64 (+.f64 z x) y)
z
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
(+.f64 (+.f64 z x) y)
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
(+.f64 (+.f64 z x) y)
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
(+.f64 (+.f64 z x) y)
(+ x z)
(+.f64 z x)
(+ x (+ y z))
(+.f64 (+.f64 z x) y)
(+ x (+ y z))
(+.f64 (+.f64 z x) y)
(+ x (+ y z))
(+.f64 (+.f64 z x) y)
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
y
(* y (+ 1 (+ (/ x y) (/ z y))))
(+.f64 (+.f64 z x) y)
(* y (+ 1 (+ (/ x y) (/ z y))))
(+.f64 (+.f64 z x) y)
(* y (+ 1 (+ (/ x y) (/ z y))))
(+.f64 (+.f64 z x) y)
y
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
y
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(+.f64 (+.f64 z x) y)
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(+.f64 (+.f64 z x) y)
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(+.f64 (+.f64 z x) y)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(+ y z)
(+.f64 z y)
(+ x (+ y z))
(+.f64 (+.f64 z x) y)
(+ x (+ y z))
(+.f64 (+.f64 z x) y)
(+ x (+ y z))
(+.f64 (+.f64 z x) y)
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
x
(* x (+ 1 (+ (/ y x) (/ z x))))
(+.f64 (+.f64 z x) y)
(* x (+ 1 (+ (/ y x) (/ z x))))
(+.f64 (+.f64 z x) y)
(* x (+ 1 (+ (/ y x) (/ z x))))
(+.f64 (+.f64 z x) y)
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
x
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(+.f64 (+.f64 z x) y)
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(+.f64 (+.f64 z x) y)
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(+.f64 (+.f64 z x) y)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)

rewrite242.0ms (10%)

Memory

-26.3MiB live, 167.1MiB allocated

Rules

5 946×	`lower-fma.f64`
5 946×	`lower-fma.f32`
4 786×	`lower-*.f64`
4 786×	`lower-*.f32`
2 372×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	36	8
2	318	8
3	5039	8
0	8074	8

Stop Event

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

Counts

2 → 212

Calls

Call 1

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

Outputs
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(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 x y) (+.f64 y x)))) (neg.f64 (neg.f64 (-.f64 x y))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (.f64 x x)))))
(/.f64 (.f64 (.f64 (-.f64 x y) (+.f64 y x)) #s(literal 1 binary64)) (-.f64 x y))
(/.f64 (.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) #s(literal 1 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))
(/.f64 (.f64 (.f64 (fma.f64 y y (.f64 x x)) (.f64 (-.f64 x y) (+.f64 y x))) #s(literal 1 binary64)) (.f64 (fma.f64 y y (.f64 x x)) (-.f64 x y)))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (-.f64 x y))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x))) (-.f64 x y)))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (-.f64 x y))) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (-.f64 x y)) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 y y) y) (-.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x y)) (.f64 (-.f64 x y) (.f64 y y))) (*.f64 (-.f64 x y) (-.f64 x y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x))))
(/.f64 (.f64 (fma.f64 y y (.f64 x x)) (.f64 (-.f64 x y) (+.f64 y x))) (.f64 (-.f64 x y) (fma.f64 y y (*.f64 x x))))
(/.f64 (.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (-.f64 x y))) (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (-.f64 x y))))
(/.f64 (.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (-.f64 x y))) (.f64 (-.f64 x y) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (+.f64 y x) (-.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x))) (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (fma.f64 (.f64 (.f64 y y) y) (-.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))))
(/.f64 (neg.f64 (*.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 (-.f64 y x) y (.f64 x x))))
(/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (-.f64 x y))
(/.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) (fma.f64 (-.f64 y x) y (.f64 x x)))
(neg.f64 (neg.f64 (+.f64 y x)))
(fma.f64 (/.f64 (.f64 x x) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (-.f64 x y))) (fma.f64 (+.f64 y x) y (.f64 x x)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(-.f64 (/.f64 (.f64 y y) (-.f64 y x)) (/.f64 (.f64 x x) (-.f64 y x)))
(-.f64 (.f64 x (/.f64 x (-.f64 x y))) (.f64 y (/.f64 y (-.f64 x y))))
(exp.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 y x))) #s(literal -1 binary64)))
(+.f64 (.f64 x (/.f64 x (-.f64 x y))) (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))))
(+.f64 y x)
(+.f64 x y)

eval59.0ms (2.4%)

Memory: 9.8MiB live, 46.6MiB allocated
Compiler: Compiled 6 638 to 608 computations (90.8% saved)

prune110.0ms (4.6%)

Memory

-8.8MiB live, 75.5MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	257	3	260
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	258	3	261

Accuracy

100.0%

Counts

261 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.8%	#s(approx (+ (+ x y) z) (+.f64 z y))
▶	99.1%	#s(approx (+ (+ x y) z) (+.f64 z x))
▶	45.3%	#s(approx (+ (+ x y) z) (+.f64 y x))

Compiler

Compiled 21 to 12 computations (42.9% saved)

simplify4.0ms (0.2%)

Memory

8.2MiB live, 8.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

24×	`lower-+.f32`
18×	`lower-+.f64`
8×	`+-commutative`
6×	`lift-+.f64`
4×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	42
0	14	42
1	20	42
2	23	42
0	23	42

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize57.0ms (2.4%)

Memory

-7.0MiB live, 31.3MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 z y)
accuracy	28.25870713784905	#s(approx (+ (+ x y) z) (+.f64 z y))
accuracy	0	(+.f64 z x)
accuracy	0.5935470672083111	#s(approx (+ (+ x y) z) (+.f64 z x))
accuracy	0	(+.f64 y x)
accuracy	34.98951096980303	#s(approx (+ (+ x y) z) (+.f64 y x))

Samples

51.0ms

256×

valid

Compiler

Compiled 32 to 10 computations (68.8% saved)

Precisions

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

ival-add: 6.0ms (103.6% of total)

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

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

series5.0ms (0.2%)

Memory

7.9MiB live, 7.9MiB allocated

Counts

6 → 180

Calls

Call 1

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

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

Calls

9 calls:

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

simplify307.0ms (12.7%)

Memory

16.0MiB live, 165.4MiB allocated

Algorithm

1×	egg-herbie

Rules

20 800×	`lower-fma.f64`
20 800×	`lower-fma.f32`
5 768×	`lower-/.f32`
5 768×	`lower-/.f64`
2 872×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	630
1	227	630
2	564	630
3	1699	630
4	4043	630
5	4666	630
6	5033	630
7	5171	630
8	5195	630
9	5195	630
0	9415	630

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 144

Calls

Call 1

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

Outputs
(+ x y)
(+.f64 y x)
(+ x (+ y z))
(+.f64 (+.f64 z y) x)
(+ x (+ y z))
(+.f64 (+.f64 z y) x)
(+ x (+ y z))
(+.f64 (+.f64 z y) x)
(+ x y)
(+.f64 y x)
(+ x (+ y z))
(+.f64 (+.f64 z y) x)
(+ x (+ y z))
(+.f64 (+.f64 z y) x)
(+ x (+ y z))
(+.f64 (+.f64 z y) x)
x
(+ x z)
(+.f64 z x)
(+ x z)
(+.f64 z x)
(+ x z)
(+.f64 z x)
(+ x y)
(+.f64 y x)
(+ x (+ y z))
(+.f64 (+.f64 z y) x)
(+ x (+ y z))
(+.f64 (+.f64 z y) x)
(+ x (+ y z))
(+.f64 (+.f64 z y) x)
y
(+ y z)
(+.f64 z y)
(+ y z)
(+.f64 z y)
(+ y z)
(+.f64 z y)
z
(* z (+ 1 (+ (/ x z) (/ y z))))
(+.f64 (+.f64 z y) x)
(* z (+ 1 (+ (/ x z) (/ y z))))
(+.f64 (+.f64 z y) x)
(* z (+ 1 (+ (/ x z) (/ y z))))
(+.f64 (+.f64 z y) x)
z
(* z (+ 1 (+ (/ x z) (/ y z))))
(+.f64 (+.f64 z y) x)
(* z (+ 1 (+ (/ x z) (/ y z))))
(+.f64 (+.f64 z y) x)
(* z (+ 1 (+ (/ x z) (/ y z))))
(+.f64 (+.f64 z y) x)
z
(* z (+ 1 (/ x z)))
(+.f64 z x)
(* z (+ 1 (/ x z)))
(+.f64 z x)
(* z (+ 1 (/ x z)))
(+.f64 z x)
z
(* z (+ 1 (+ (/ x z) (/ y z))))
(+.f64 (+.f64 z y) x)
(* z (+ 1 (+ (/ x z) (/ y z))))
(+.f64 (+.f64 z y) x)
(* z (+ 1 (+ (/ x z) (/ y z))))
(+.f64 (+.f64 z y) x)
z
(* z (+ 1 (/ y z)))
(+.f64 z y)
(* z (+ 1 (/ y z)))
(+.f64 z y)
(* z (+ 1 (/ y z)))
(+.f64 z y)
z
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
(+.f64 (+.f64 z y) x)
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
(+.f64 (+.f64 z y) x)
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
(+.f64 (+.f64 z y) x)
z
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
(+.f64 (+.f64 z y) x)
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
(+.f64 (+.f64 z y) x)
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
(+.f64 (+.f64 z y) x)
z
(* -1 (* z (- (* -1 (/ x z)) 1)))
(+.f64 z x)
(* -1 (* z (- (* -1 (/ x z)) 1)))
(+.f64 z x)
(* -1 (* z (- (* -1 (/ x z)) 1)))
(+.f64 z x)
z
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
(+.f64 (+.f64 z y) x)
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
(+.f64 (+.f64 z y) x)
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
(+.f64 (+.f64 z y) x)
z
(* -1 (* z (- (* -1 (/ y z)) 1)))
(+.f64 z y)
(* -1 (* z (- (* -1 (/ y z)) 1)))
(+.f64 z y)
(* -1 (* z (- (* -1 (/ y z)) 1)))
(+.f64 z y)
(+ x z)
(+.f64 z x)
(+ x (+ y z))
(+.f64 (+.f64 z y) x)
(+ x (+ y z))
(+.f64 (+.f64 z y) x)
(+ x (+ y z))
(+.f64 (+.f64 z y) x)
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x z)
(+.f64 z x)
(+ x (+ y z))
(+.f64 (+.f64 z y) x)
(+ x (+ y z))
(+.f64 (+.f64 z y) x)
(+ x (+ y z))
(+.f64 (+.f64 z y) x)
(+ x z)
(+.f64 z x)
(+ x (+ y z))
(+.f64 (+.f64 z y) x)
(+ x (+ y z))
(+.f64 (+.f64 z y) x)
(+ x (+ y z))
(+.f64 (+.f64 z y) x)
z
(+ y z)
(+.f64 z y)
(+ y z)
(+.f64 z y)
(+ y z)
(+.f64 z y)
y
(* y (+ 1 (+ (/ x y) (/ z y))))
(+.f64 (+.f64 z y) x)
(* y (+ 1 (+ (/ x y) (/ z y))))
(+.f64 (+.f64 z y) x)
(* y (+ 1 (+ (/ x y) (/ z y))))
(+.f64 (+.f64 z y) x)
y
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
y
(* y (+ 1 (+ (/ x y) (/ z y))))
(+.f64 (+.f64 z y) x)
(* y (+ 1 (+ (/ x y) (/ z y))))
(+.f64 (+.f64 z y) x)
(* y (+ 1 (+ (/ x y) (/ z y))))
(+.f64 (+.f64 z y) x)
y
(* y (+ 1 (+ (/ x y) (/ z y))))
(+.f64 (+.f64 z y) x)
(* y (+ 1 (+ (/ x y) (/ z y))))
(+.f64 (+.f64 z y) x)
(* y (+ 1 (+ (/ x y) (/ z y))))
(+.f64 (+.f64 z y) x)
y
(* y (+ 1 (/ z y)))
(+.f64 z y)
(* y (+ 1 (/ z y)))
(+.f64 z y)
(* y (+ 1 (/ z y)))
(+.f64 z y)
y
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(+.f64 (+.f64 z y) x)
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(+.f64 (+.f64 z y) x)
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(+.f64 (+.f64 z y) x)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
y
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(+.f64 (+.f64 z y) x)
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(+.f64 (+.f64 z y) x)
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(+.f64 (+.f64 z y) x)
y
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(+.f64 (+.f64 z y) x)
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(+.f64 (+.f64 z y) x)
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(+.f64 (+.f64 z y) x)
y
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+.f64 z y)
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+.f64 z y)
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+.f64 z y)
(+ y z)
(+.f64 z y)
(+ x (+ y z))
(+.f64 (+.f64 z y) x)
(+ x (+ y z))
(+.f64 (+.f64 z y) x)
(+ x (+ y z))
(+.f64 (+.f64 z y) x)
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ y z)
(+.f64 z y)
(+ x (+ y z))
(+.f64 (+.f64 z y) x)
(+ x (+ y z))
(+.f64 (+.f64 z y) x)
(+ x (+ y z))
(+.f64 (+.f64 z y) x)
z
(+ x z)
(+.f64 z x)
(+ x z)
(+.f64 z x)
(+ x z)
(+.f64 z x)
(+ y z)
(+.f64 z y)
(+ x (+ y z))
(+.f64 (+.f64 z y) x)
(+ x (+ y z))
(+.f64 (+.f64 z y) x)
(+ x (+ y z))
(+.f64 (+.f64 z y) x)
x
(* x (+ 1 (+ (/ y x) (/ z x))))
(+.f64 (+.f64 z y) x)
(* x (+ 1 (+ (/ y x) (/ z x))))
(+.f64 (+.f64 z y) x)
(* x (+ 1 (+ (/ y x) (/ z x))))
(+.f64 (+.f64 z y) x)
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
x
(* x (+ 1 (+ (/ y x) (/ z x))))
(+.f64 (+.f64 z y) x)
(* x (+ 1 (+ (/ y x) (/ z x))))
(+.f64 (+.f64 z y) x)
(* x (+ 1 (+ (/ y x) (/ z x))))
(+.f64 (+.f64 z y) x)
x
(* x (+ 1 (/ z x)))
(+.f64 z x)
(* x (+ 1 (/ z x)))
(+.f64 z x)
(* x (+ 1 (/ z x)))
(+.f64 z x)
x
(* x (+ 1 (+ (/ y x) (/ z x))))
(+.f64 (+.f64 z y) x)
(* x (+ 1 (+ (/ y x) (/ z x))))
(+.f64 (+.f64 z y) x)
(* x (+ 1 (+ (/ y x) (/ z x))))
(+.f64 (+.f64 z y) x)
x
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(+.f64 (+.f64 z y) x)
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(+.f64 (+.f64 z y) x)
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(+.f64 (+.f64 z y) x)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
x
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(+.f64 (+.f64 z y) x)
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(+.f64 (+.f64 z y) x)
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(+.f64 (+.f64 z y) x)
x
(* -1 (* x (- (* -1 (/ z x)) 1)))
(+.f64 z x)
(* -1 (* x (- (* -1 (/ z x)) 1)))
(+.f64 z x)
(* -1 (* x (- (* -1 (/ z x)) 1)))
(+.f64 z x)
x
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(+.f64 (+.f64 z y) x)
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(+.f64 (+.f64 z y) x)
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(+.f64 (+.f64 z y) x)

rewrite219.0ms (9.1%)

Memory

-16.6MiB live, 150.0MiB allocated

Rules

5 702×	`lower-fma.f64`
5 702×	`lower-fma.f32`
4 358×	`lower-*.f64`
4 358×	`lower-*.f32`
3 718×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	36
0	14	36
1	69	36
2	631	36
0	8460	36

Stop Event

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

Counts

6 → 190

Calls

Call 1

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

Outputs
#s(approx (+ (+ x y) z) (+.f64 y x))
(.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (-.f64 x y))) (fma.f64 (+.f64 y x) y (*.f64 x x)))
(.f64 (/.f64 (.f64 (-.f64 y x) (+.f64 y x)) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (-.f64 y x))) (fma.f64 (+.f64 y x) y (*.f64 x x)))
(.f64 (/.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)) (.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) (-.f64 (.f64 x x) (.f64 (-.f64 y x) y)))) (-.f64 (.f64 x x) (.f64 (-.f64 y x) y)))
(.f64 (/.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) x (.f64 (.f64 (.f64 (-.f64 y x) y) (.f64 (-.f64 y x) y)) (.f64 (-.f64 y x) y)))) (fma.f64 (.f64 (-.f64 y x) y) (-.f64 (.f64 (-.f64 y x) y) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x))))
(.f64 (/.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)) (.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) (-.f64 (.f64 y y) (.f64 (-.f64 x y) x)))) (-.f64 (.f64 y y) (.f64 (-.f64 x y) x)))
(.f64 (/.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)) (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 y y)) y (.f64 (.f64 (.f64 (-.f64 x y) x) (.f64 (-.f64 x y) x)) (.f64 (-.f64 x y) x)))) (fma.f64 (.f64 (-.f64 x y) x) (-.f64 (.f64 (-.f64 x y) x) (.f64 y y)) (.f64 (.f64 y y) (*.f64 y y))))
(.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x))
(.f64 (/.f64 (.f64 (-.f64 y x) (+.f64 y x)) (*.f64 (-.f64 y x) (+.f64 y x))) (+.f64 y x))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (.f64 (-.f64 x y) (+.f64 y x)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) (.f64 (-.f64 y x) (+.f64 y x)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x y) x (.f64 y y))) (fma.f64 (.f64 x x) x (.f64 (*.f64 y y) y)))
(*.f64 #s(literal 1 binary64) (+.f64 y x))
(.f64 (neg.f64 (.f64 (-.f64 x y) (+.f64 y x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y))))
(.f64 (neg.f64 (.f64 (-.f64 y x) (+.f64 y x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 y x))))
(.f64 (neg.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)))))
(.f64 (.f64 (-.f64 x y) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) (/.f64 (+.f64 y x) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) (.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x y) x (.f64 y y)))))
(.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (-.f64 x y)))
(*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (-.f64 y x)))
(.f64 (+.f64 y x) (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(.f64 (+.f64 y x) (.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (-.f64 y x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 (fma.f64 y y (.f64 x x)) (.f64 (-.f64 x y) (+.f64 y x))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (fma.f64 y y (*.f64 x x)))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (fma.f64 (.f64 x x) (.f64 x x) (.f64 (.f64 y y) (fma.f64 y y (.f64 x x)))))
(/.f64 (.f64 (.f64 (fma.f64 y y (.f64 x x)) (.f64 (-.f64 y x) (+.f64 y x))) (/.f64 #s(literal 1 binary64) (-.f64 y x))) (fma.f64 y y (*.f64 x x)))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (-.f64 y x))) (fma.f64 (.f64 x x) (fma.f64 y y (.f64 x x)) (.f64 (.f64 y y) (.f64 y y))))
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(.f64 (fma.f64 (-.f64 y z) y (.f64 z z)) (/.f64 (+.f64 z y) (fma.f64 (-.f64 y z) y (*.f64 z z))))
(.f64 (fma.f64 (-.f64 y z) y (.f64 z z)) (.f64 (+.f64 z y) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y z) y (.f64 z z)))))
(.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y z) y (*.f64 z z))))
(*.f64 (+.f64 z y) (/.f64 (-.f64 z y) (-.f64 z y)))
(.f64 (+.f64 z y) (.f64 (-.f64 z y) (/.f64 #s(literal 1 binary64) (-.f64 z y))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 z y)) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 (fma.f64 z z (.f64 y y)) (.f64 (-.f64 z y) (+.f64 z y))) (/.f64 #s(literal 1 binary64) (-.f64 z y))) (fma.f64 z z (*.f64 y y)))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)) (.f64 (fma.f64 z z (.f64 y (+.f64 z y))) (-.f64 z y))) (/.f64 #s(literal 1 binary64) (-.f64 z y))) (fma.f64 (.f64 z z) (.f64 z z) (.f64 (.f64 y y) (fma.f64 z z (.f64 y y)))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)) (.f64 (fma.f64 z z (.f64 y (+.f64 z y))) (-.f64 z y))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y z) y (.f64 z z)))) (.f64 (fma.f64 z z (.f64 y (+.f64 z y))) (-.f64 z y)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y) (.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z)) (.f64 (.f64 z z) z))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y z) y (.f64 z z)))) (fma.f64 (.f64 (.f64 y y) y) (-.f64 (.f64 (.f64 y y) y) (.f64 (.f64 z z) z)) (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z))))
(/.f64 (.f64 (.f64 (-.f64 z y) (+.f64 z y)) #s(literal 1 binary64)) (-.f64 z y))
(/.f64 (.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)) #s(literal 1 binary64)) (fma.f64 (-.f64 y z) y (*.f64 z z)))
(/.f64 (-.f64 (.f64 (.f64 z (/.f64 z (-.f64 z y))) (.f64 z (/.f64 z (-.f64 z y)))) (.f64 (.f64 y (/.f64 y (-.f64 z y))) (.f64 y (/.f64 y (-.f64 z y))))) (fma.f64 z (/.f64 z (-.f64 z y)) (*.f64 y (/.f64 y (-.f64 z y)))))
(/.f64 (-.f64 (pow.f64 (.f64 z (/.f64 z (-.f64 z y))) #s(literal 3 binary64)) (pow.f64 (.f64 y (/.f64 y (-.f64 z y))) #s(literal 3 binary64))) (fma.f64 (.f64 z (/.f64 z (-.f64 z y))) (.f64 z (/.f64 z (-.f64 z y))) (fma.f64 (.f64 y (/.f64 y (-.f64 z y))) (.f64 y (/.f64 y (-.f64 z y))) (.f64 (.f64 z (/.f64 z (-.f64 z y))) (*.f64 y (/.f64 y (-.f64 z y)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 z y) (-.f64 y z))) (neg.f64 (-.f64 y z)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 z y) (+.f64 z y)))) (neg.f64 (neg.f64 (-.f64 z y))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y z) y (.f64 z z)))))
(/.f64 (-.f64 (.f64 (.f64 z z) (-.f64 z y)) (.f64 (-.f64 z y) (.f64 y y))) (*.f64 (-.f64 z y) (-.f64 z y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 z y))))
(/.f64 (.f64 (fma.f64 z z (.f64 y y)) (.f64 (-.f64 z y) (+.f64 z y))) (.f64 (-.f64 z y) (fma.f64 z z (*.f64 y y))))
(/.f64 (*.f64 (+.f64 z y) (-.f64 y z)) (-.f64 y z))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) (*.f64 (+.f64 z y) (-.f64 y z))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))
(/.f64 (.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)) (.f64 (fma.f64 z z (.f64 y (+.f64 z y))) (-.f64 z y))) (.f64 (-.f64 z y) (fma.f64 (.f64 z z) (.f64 z z) (.f64 (.f64 y y) (fma.f64 z z (.f64 y y))))))
(/.f64 (.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)) (.f64 (fma.f64 z z (.f64 y (+.f64 z y))) (-.f64 z y))) (.f64 (fma.f64 (-.f64 y z) y (.f64 z z)) (.f64 (fma.f64 z z (.f64 y (+.f64 z y))) (-.f64 z y))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y) (.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z)) (.f64 (.f64 z z) z))) (.f64 (fma.f64 (-.f64 y z) y (.f64 z z)) (fma.f64 (.f64 (.f64 y y) y) (-.f64 (.f64 (.f64 y y) y) (.f64 (.f64 z z) z)) (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z)))))
(/.f64 (neg.f64 (*.f64 (-.f64 z y) (+.f64 z y))) (neg.f64 (-.f64 z y)))
(/.f64 (neg.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y))) (neg.f64 (fma.f64 (-.f64 y z) y (.f64 z z))))
(/.f64 (*.f64 (-.f64 z y) (+.f64 z y)) (-.f64 z y))
(/.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)) (fma.f64 (-.f64 y z) y (.f64 z z)))
(neg.f64 (/.f64 (neg.f64 (*.f64 (-.f64 z y) (+.f64 z y))) (-.f64 z y)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y))) (fma.f64 (-.f64 y z) y (.f64 z z))))
(neg.f64 (/.f64 (*.f64 (-.f64 z y) (+.f64 z y)) (neg.f64 (-.f64 z y))))
(neg.f64 (/.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)) (neg.f64 (fma.f64 (-.f64 y z) y (.f64 z z)))))
(fma.f64 (/.f64 (.f64 z z) (.f64 (fma.f64 z z (.f64 y (+.f64 z y))) (-.f64 z y))) (fma.f64 z z (.f64 y (+.f64 z y))) (neg.f64 (*.f64 y (/.f64 y (-.f64 z y)))))
(fma.f64 (/.f64 (.f64 z z) (.f64 (-.f64 z y) (+.f64 z y))) (+.f64 z y) (neg.f64 (*.f64 y (/.f64 y (-.f64 z y)))))
(fma.f64 (.f64 z z) (/.f64 #s(literal 1 binary64) (-.f64 z y)) (neg.f64 (.f64 y (/.f64 y (-.f64 z y)))))
(fma.f64 z (/.f64 z (-.f64 z y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 z y)))))
(-.f64 (/.f64 (.f64 y y) (-.f64 y z)) (/.f64 (.f64 z z) (-.f64 y z)))
(-.f64 (.f64 z (/.f64 z (-.f64 z y))) (.f64 y (/.f64 y (-.f64 z y))))
(+.f64 (.f64 z (/.f64 z (-.f64 z y))) (neg.f64 (.f64 y (/.f64 y (-.f64 z y)))))
(+.f64 z y)
(+.f64 y z)

eval56.0ms (2.3%)

Memory: 14.1MiB live, 51.0MiB allocated
Compiler: Compiled 5 578 to 523 computations (90.6% saved)

prune55.0ms (2.3%)

Memory

15.9MiB live, 53.9MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	334	0	334
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	334	3	337

Accuracy

100.0%

Counts

337 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.8%	#s(approx (+ (+ x y) z) (+.f64 z y))
✓	99.1%	#s(approx (+ (+ x y) z) (+.f64 z x))
✓	45.3%	#s(approx (+ (+ x y) z) (+.f64 y x))

Compiler

Compiled 41 to 20 computations (51.2% saved)

regimes38.0ms (1.6%)

Memory

-21.2MiB live, 25.7MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

5 calls:

29.0ms	(+.f64 (+.f64 x y) z)
2.0ms	x
2.0ms	(+.f64 x y)
2.0ms	z
2.0ms	y

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes40.0ms (1.6%)

Memory

-13.2MiB live, 26.3MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

5 calls:

32.0ms	x
2.0ms	y
2.0ms	(+.f64 x y)
2.0ms	z
2.0ms	(+.f64 (+.f64 x y) z)

Results

Accuracy	Segments	Branch
99.1%	1	`x`
99.1%	1	`y`
99.1%	1	`z`
99.1%	1	`(+.f64 (+.f64 x y) z)`
99.1%	1	`(+.f64 x y)`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes7.0ms (0.3%)

Memory

19.7MiB live, 19.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
45.3%	1	`x`
45.3%	1	`y`
45.3%	1	`z`
45.3%	1	`(+.f64 (+.f64 x y) z)`
45.3%	1	`(+.f64 x y)`

Compiler

Compiled 26 to 18 computations (30.8% saved)

simplify5.0ms (0.2%)

Memory

12.8MiB live, 12.8MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	14	23

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness399.0ms (16.6%)

Memory

-31.5MiB live, 87.9MiB allocated

Rules

4 768×	`lower-/.f32`
4 768×	`lower-/.f64`
2 864×	`lower-fma.f64`
2 864×	`lower-fma.f32`
2 160×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	210
1	148	210
2	381	210
3	1186	210
4	2945	210
5	4910	210
6	5892	210
7	6011	210
8	6105	210
9	6119	210
0	8863	210

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 28 to 14 computations (50% saved)

preprocess24.0ms (1%)

Memory: 7.9MiB live, 46.3MiB allocated
Remove: (sort x y z)
Compiler: Compiled 80 to 42 computations (47.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	21	50
1	62	45
2	191	45
3	490	45
4	780	45
5	843	45
6	859	45
0	5	5
0	7	5
1	11	5
2	18	5
3	20	5
0	20	5

Iter	Nodes	Cost
0	21	50
1	62	45
2	191	45
3	490	45
4	780	45
5	843	45
6	859	45
0	5	5
0	7	5
1	11	5
2	18	5
3	20	5
0	20	5

start0.0ms (0%)

analyze0.0ms (0%)

sample569.0ms (23.6%)

explain47.0ms (1.9%)

preprocess28.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0.1%)

localize13.0ms (0.6%)

series3.0ms (0.1%)

simplify121.0ms (5%)

rewrite242.0ms (10%)

eval59.0ms (2.4%)

prune110.0ms (4.6%)

simplify4.0ms (0.2%)

localize57.0ms (2.4%)

series5.0ms (0.2%)

simplify307.0ms (12.7%)

rewrite219.0ms (9.1%)

eval56.0ms (2.3%)

prune55.0ms (2.3%)

regimes38.0ms (1.6%)

regimes40.0ms (1.6%)

regimes7.0ms (0.3%)

simplify5.0ms (0.2%)

soundness399.0ms (16.6%)

preprocess24.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	21	50
1	62	45
2	191	45
3	490	45
4	780	45
5	843	45
6	859	45
0	5	5
0	7	5
1	11	5
2	18	5
3	20	5
0	20	5