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

0.3MiB live, 0.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 7 to 7 computations (0% saved)

sample492.0ms (15.2%)

Memory

19.6MiB live, 816.0MiB allocated

Samples

289.0ms	8 253×	0	valid
0.0ms	2×	1	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 108.0ms

ival-add: 99.0ms (91.9% of total)

ival-true: 6.0ms (5.6% of total)

ival-assert: 3.0ms (2.8% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain52.0ms (1.6%)

Memory

-0.2MiB live, 75.9MiB 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

20.0ms

512×

valid

Compiler

Compiled 34 to 19 computations (44.1% saved)

Precisions

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

ival-add: 5.0ms (87% of total)

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

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

preprocess68.0ms (2.1%)

Memory

-7.3MiB live, 29.8MiB 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 y (+.f64 x z))

Symmetry

(sort x y z)

Compiler

Compiled 8 to 5 computations (37.5% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

simplify4.0ms (0.1%)

Memory

2.2MiB live, 2.2MiB 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 y (+.f64 x z))
(+.f64 x y)
x
y
z

localize13.0ms (0.4%)

Memory

17.0MiB live, 17.0MiB allocated

Localize:

Found 2 expressions of interest:

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

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: 2.0ms (75.1% of total)

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

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

series3.0ms (0.1%)

Memory

2.2MiB live, 2.2MiB 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 (+ 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 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 (+.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 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 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 (+.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 (+ 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 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 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 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>) () ())) ())
#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 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 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>) () ())) ())

Calls

15 calls:

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

simplify260.0ms (8%)

Memory

-5.9MiB live, 113.1MiB 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	1185	210
4	2960	210
5	4921	210
6	5879	210
7	6006	210
8	6088	210
9	6102	210
0	8854	210

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 48

Calls

Call 1

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

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

rewrite1.0s (32.3%)

Memory

2.6MiB live, 315.0MiB 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
(+.f64 x (+.f64 y z))
(+.f64 y (+.f64 x z))
(+.f64 (+.f64 x y) z)
(+.f64 z (+.f64 x y))
(+.f64 (+.f64 y z) x)
(+.f64 (/.f64 (.f64 (+.f64 x y) (+.f64 x y)) (-.f64 (+.f64 x y) z)) (neg.f64 (/.f64 (.f64 z z) (-.f64 (+.f64 x y) z))))
(+.f64 (+.f64 x z) y)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x y) z))) #s(literal -1 binary64)))
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(.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (-.f64 (.f64 x x) (.f64 y (-.f64 y x))))) (-.f64 (.f64 x x) (.f64 y (-.f64 y x))))
(.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y))) (fma.f64 y (+.f64 x y) (*.f64 x x)))
(.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y))))
(.f64 (pow.f64 (/.f64 (-.f64 x y) (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (fma.f64 x x (.f64 y y)) (.f64 x (.f64 x (.f64 x x))))))
(.f64 (pow.f64 (/.f64 (-.f64 x y) (.f64 (fma.f64 x x (.f64 y y)) (.f64 (+.f64 x y) (-.f64 x y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y))))
(.f64 (pow.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (.f64 y y))) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (.f64 x x) (.f64 y (*.f64 y y))) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) #s(literal 1 binary64)) (pow.f64 (.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (.f64 y y)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) #s(literal 1 binary64)) (pow.f64 (/.f64 (+.f64 x y) (fma.f64 x (-.f64 x y) (*.f64 y y))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (+.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 1 binary64)) (pow.f64 (.f64 (+.f64 x y) (-.f64 x y)) #s(literal 1 binary64)))
(.f64 (pow.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (neg.f64 (.f64 (+.f64 x y) (-.f64 x y))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (+.f64 x y) (-.f64 y x)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y))) #s(literal 1 binary64)) (+.f64 x y))
(.f64 (pow.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (fma.f64 (.f64 y (-.f64 y x)) (.f64 y (.f64 (-.f64 y x) (.f64 y (-.f64 y x)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (.f64 y (-.f64 y x)) (-.f64 (.f64 y (-.f64 y x)) (.f64 x x)) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (-.f64 (.f64 x x) (.f64 y (-.f64 y x))))) #s(literal 1 binary64)) (pow.f64 (-.f64 (.f64 x x) (.f64 y (-.f64 y x))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y))) #s(literal 1 binary64)) (pow.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) #s(literal 1 binary64)))

eval36.0ms (1.1%)

Memory: 21.1MiB live, 58.6MiB allocated
Compiler: Compiled 6 638 to 612 computations (90.8% saved)

prune59.0ms (1.8%)

Memory

-47.3MiB live, 86.1MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	258	2	260
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	259	2	261

Accuracy

100.0%

Counts

261 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	#s(approx (+ (+ x y) z) (+.f64 z x))
▶	53.5%	#s(approx (+ (+ x y) z) (+.f64 y z))

Compiler

Compiled 14 to 8 computations (42.9% saved)

simplify4.0ms (0.1%)

Memory

6.7MiB live, 6.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
0	11	28
1	16	28
2	19	28
0	19	28

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize20.0ms (0.6%)

Memory

5.2MiB live, 43.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 z x)
accuracy	0.49950866913795056	#s(approx (+ (+ x y) z) (+.f64 z x))
accuracy	0	(+.f64 y z)
accuracy	29.770633150881253	#s(approx (+ (+ x y) z) (+.f64 y z))

Samples

14.0ms

256×

valid

Compiler

Compiled 22 to 9 computations (59.1% saved)

Precisions

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

ival-add: 6.0ms (95.7% of total)

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

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

series3.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated

Counts

4 → 120

Calls

Call 1

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

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

Calls

30 calls:

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

simplify256.0ms (7.9%)

Memory

11.1MiB live, 367.7MiB allocated

Algorithm

1×	egg-herbie

Rules

15 312×	`lower-fma.f64`
15 312×	`lower-fma.f32`
5 296×	`lower-/.f32`
5 296×	`lower-/.f64`
2 424×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	420
1	189	420
2	478	420
3	1447	420
4	3496	420
5	4424	420
6	4945	420
7	5074	420
8	5092	420
9	5092	420
0	8950	420

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 96

Calls

Call 1

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

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

rewrite240.0ms (7.4%)

Memory

-5.3MiB live, 385.4MiB allocated

Rules

4 520×	`lower-*.f64`
4 520×	`lower-*.f32`
4 486×	`lower-fma.f64`
4 486×	`lower-fma.f32`
3 620×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
0	11	24
1	57	24
2	484	24
3	7216	24
0	8336	24

Stop Event

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

Counts

4 → 120

Calls

Call 1

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

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

eval22.0ms (0.7%)

Memory: 5.7MiB live, 42.6MiB allocated
Compiler: Compiled 3 585 to 327 computations (90.9% saved)

prune197.0ms (6.1%)

Memory

-4.8MiB live, 41.1MiB allocated

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	216	0	216
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	216	2	218

Accuracy

100.0%

Counts

218 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	#s(approx (+ (+ x y) z) (+.f64 z x))
✓	53.5%	#s(approx (+ (+ x y) z) (+.f64 y z))

Compiler

Compiled 30 to 15 computations (50% saved)

regimes9.0ms (0.3%)

Memory

15.6MiB live, 15.6MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

regimes19.0ms (0.6%)

Memory

-24.5MiB live, 13.9MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`y`
99.2%	1	`z`
99.2%	1	`(+.f64 (+.f64 x y) z)`
99.2%	1	`(+.f64 x y)`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes7.0ms (0.2%)

Memory

13.2MiB live, 13.2MiB 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 z))

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
53.5%	1	`x`
53.5%	1	`y`
53.5%	1	`z`
53.5%	1	`(+.f64 (+.f64 x y) z)`
53.5%	1	`(+.f64 x y)`

Compiler

Compiled 26 to 18 computations (30.8% saved)

simplify6.0ms (0.2%)

Memory

12.1MiB live, 12.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	15	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 z))

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

soundness395.0ms (12.2%)

Memory

-28.6MiB live, 93.4MiB 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	1185	210
4	2960	210
5	4921	210
6	5879	210
7	6006	210
8	6088	210
9	6102	210
0	8854	210

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 28 to 15 computations (46.4% saved)

preprocess26.0ms (0.8%)

Memory: 19.2MiB live, 57.7MiB allocated
Remove: (sort x y z)
Compiler: Compiled 96 to 54 computations (43.8% 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%)

sample492.0ms (15.2%)

explain52.0ms (1.6%)

preprocess68.0ms (2.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize13.0ms (0.4%)

series3.0ms (0.1%)

simplify260.0ms (8%)

rewrite1.0s (32.3%)

eval36.0ms (1.1%)

prune59.0ms (1.8%)

simplify4.0ms (0.1%)

localize20.0ms (0.6%)

series3.0ms (0.1%)

simplify256.0ms (7.9%)

rewrite240.0ms (7.4%)

eval22.0ms (0.7%)

prune197.0ms (6.1%)

regimes9.0ms (0.3%)

regimes19.0ms (0.6%)

regimes7.0ms (0.2%)

simplify6.0ms (0.2%)

soundness395.0ms (12.2%)

preprocess26.0ms (0.8%)

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