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

0.5MiB live, 0.5MiB 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)

sample762.0ms (33.5%)

Memory

12.8MiB live, 1 037.0MiB allocated

Samples

524.0ms	8 253×	0	valid
0.0ms	2×	3	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 114.0ms

ival-add: 104.0ms (91.4% of total)

ival-true: 6.0ms (5.3% of total)

ival-assert: 3.0ms (2.6% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain50.0ms (2.2%)

Memory

-6.7MiB live, 118.1MiB 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

19.0ms

512×

valid

Compiler

Compiled 42 to 24 computations (42.9% saved)

Precisions

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

ival-add: 5.0ms (83.9% of total)

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

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

preprocess26.0ms (1.1%)

Memory

35.8MiB live, 35.8MiB allocated

Algorithm

1×	egg-herbie

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 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 5 to 5 computations (0% saved)

simplify5.0ms (0.2%)

Memory

-35.1MiB live, 4.0MiB 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)

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

20.3MiB live, 20.3MiB 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 24 to 12 computations (50% saved)

Precisions

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

ival-add: 3.0ms (104% of total)

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

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

series3.0ms (0.1%)

Memory

4.1MiB live, 4.1MiB 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))

simplify127.0ms (5.6%)

Memory

-21.1MiB live, 93.3MiB allocated

Algorithm

1×	egg-herbie

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)

rewrite162.0ms (7.1%)

Memory

36.1MiB live, 231.6MiB allocated

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
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval33.0ms (1.5%)

Memory: -20.5MiB live, 64.0MiB allocated
Compiler: Compiled 4 983 to 628 computations (87.4% saved)

prune4.0ms (0.2%)

Memory

16.6MiB live, 16.6MiB 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
▶	51.3%	#s(approx (+ (+ x y) z) (+.f64 z y))
▶	98.9%	#s(approx (+ (+ x y) z) (+.f64 z x))
▶	50.4%	#s(approx (+ (+ x y) z) (+.f64 y x))

Compiler

Compiled 12 to 15 computations (-25% saved)

simplify3.0ms (0.1%)

Memory

5.2MiB live, 5.2MiB 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))

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

localize23.0ms (1%)

Memory

0.1MiB live, 38.6MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 z y)
accuracy	31.193188380869874	#s(approx (+ (+ x y) z) (+.f64 z y))
accuracy	0	(+.f64 z x)
accuracy	0.685145320251977	#s(approx (+ (+ x y) z) (+.f64 z x))
accuracy	0	(+.f64 y x)
accuracy	31.755600699785035	#s(approx (+ (+ x y) z) (+.f64 y x))

Samples

17.0ms

256×

valid

Compiler

Compiled 59 to 19 computations (67.8% saved)

Precisions

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

ival-add: 6.0ms (93.4% of total)

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

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

series9.0ms (0.4%)

Memory

-27.8MiB live, 10.2MiB 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>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y 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 (+ x 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>) () ())) ())
#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>) () ())) ())
#s(alt z (taylor 0 y) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ())
#s(alt (+ y z) (taylor 0 y) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ())
#s(alt (+ y z) (taylor 0 y) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ())
#s(alt (+ y z) (taylor 0 y) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ())
#s(alt 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 (+ 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>) () ())) ())
#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 (+ 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>) () ())) ())
#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 y)) (patch #s(approx (+ (+ x y) z) (+.f64 z y)) #<representation binary64>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ z y))) (taylor inf y) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ z y))) (taylor inf y) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ z y))) (taylor inf y) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ())
#s(alt 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 (* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) (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 (* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) (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 (* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) (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>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (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>) () ())) ())
#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 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 (* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) (taylor -inf y) (#s(alt #s(approx (+ (+ x y) z) (+.f64 z y)) (patch #s(approx (+ (+ x y) z) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) (taylor -inf y) (#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 -inf y) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ z y)) 1))) (taylor -inf y) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ z y)) 1))) (taylor -inf y) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ z y)) 1))) (taylor -inf y) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ())
#s(alt (+ y z) (taylor 0 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 (+ y z)) (taylor 0 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 (+ y z)) (taylor 0 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 (+ y z)) (taylor 0 x) (#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 0 x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<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 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 (+ 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>) () ())) ())
#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>) () ())) ())
#s(alt 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>) () ())) ())
#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>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (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>) () ())) ())
#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 (+.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 #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>) () ())) ())
#s(alt 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 (* -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>) () ())) ())
#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 x (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 (* -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>) () ())) ())
#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 (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
3.0ms	x	@	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	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))

simplify389.0ms (17.1%)

Memory

-123.2MiB live, 269.9MiB allocated

Algorithm

1×	egg-herbie

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)

rewrite119.0ms (5.3%)

Memory

-34.6MiB live, 163.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	36
0	14	36
1	69	36
2	631	36
0	8454	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
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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#<batchref>
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#<batchref>
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#<batchref>
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#<batchref>
#<batchref>
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#<batchref>
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#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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#<batchref>
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#<batchref>
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#<batchref>
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#<batchref>
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#<batchref>
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#<batchref>

eval39.0ms (1.7%)

Memory: 13.9MiB live, 88.6MiB allocated
Compiler: Compiled 4 596 to 724 computations (84.2% saved)

prune14.0ms (0.6%)

Memory

-15.0MiB live, 31.9MiB 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
✓	51.3%	#s(approx (+ (+ x y) z) (+.f64 z y))
✓	98.9%	#s(approx (+ (+ x y) z) (+.f64 z x))
✓	50.4%	#s(approx (+ (+ x y) z) (+.f64 y x))

Compiler

Compiled 29 to 26 computations (10.3% saved)

regimes11.0ms (0.5%)

Memory

25.0MiB live, 25.0MiB 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:

2.0ms	(+.f64 x y)
2.0ms	x
2.0ms	(+.f64 (+.f64 x y) z)
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 11 to 18 computations (-63.6% saved)

regimes12.0ms (0.5%)

Memory

-16.6MiB live, 22.2MiB 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:

4.0ms	y
2.0ms	z
2.0ms	(+.f64 (+.f64 x y) z)
2.0ms	x
2.0ms	(+.f64 x y)

Results

Accuracy	Segments	Branch
98.9%	1	`x`
98.9%	1	`y`
98.9%	1	`z`
98.9%	1	`(+.f64 (+.f64 x y) z)`
98.9%	1	`(+.f64 x y)`

Compiler

Compiled 11 to 18 computations (-63.6% saved)

regimes7.0ms (0.3%)

Memory

18.7MiB live, 18.7MiB 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	(+.f64 x y)
1.0ms	x
1.0ms	z
1.0ms	(+.f64 (+.f64 x y) z)
1.0ms	y

Results

Accuracy	Segments	Branch
50.4%	1	`x`
50.4%	1	`y`
50.4%	1	`z`
50.4%	1	`(+.f64 (+.f64 x y) z)`
50.4%	1	`(+.f64 x y)`

Compiler

Compiled 11 to 18 computations (-63.6% saved)

simplify23.0ms (1%)

Memory

14.6MiB live, 53.8MiB allocated

Algorithm

1×	egg-herbie

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))

soundness402.0ms (17.7%)

Memory

-36.7MiB live, 163.6MiB allocated

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 19 to 16 computations (15.8% saved)

preprocess36.0ms (1.6%)

Memory: 0.7MiB live, 81.0MiB allocated
Remove: (sort x y z)
Compiler: Compiled 56 to 46 computations (17.9% 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%)

sample762.0ms (33.5%)

explain50.0ms (2.2%)

preprocess26.0ms (1.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0.2%)

localize13.0ms (0.6%)

series3.0ms (0.1%)

simplify127.0ms (5.6%)

rewrite162.0ms (7.1%)

eval33.0ms (1.5%)

prune4.0ms (0.2%)

simplify3.0ms (0.1%)

localize23.0ms (1%)

series9.0ms (0.4%)

simplify389.0ms (17.1%)

rewrite119.0ms (5.3%)

eval39.0ms (1.7%)

prune14.0ms (0.6%)

regimes11.0ms (0.5%)

regimes12.0ms (0.5%)

regimes7.0ms (0.3%)

simplify23.0ms (1%)

soundness402.0ms (17.7%)

preprocess36.0ms (1.6%)

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