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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

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)

sample893.0ms (55.9%)

Memory

9.5MiB live, 859.9MiB allocated; 293ms collecting garbage

Samples

691.0ms	8 248×	0	valid
0.0ms	2×	3	valid
0.0ms	4×	1	valid
0.0ms	2×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 274.0ms

ival-add: 269.0ms (98.2% of total)

adjust: 2.0ms (0.7% of total)

ival-assert: 2.0ms (0.7% of total)

Bogosity

explain47.0ms (3%)

Memory

-17.4MiB live, 74.5MiB allocated; 8ms collecting garbage

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

23.0ms

512×

valid

Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-add: 6.0ms (90.7% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess15.0ms (0.9%)

Memory

25.6MiB live, 25.6MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	59
1	47	58
2	84	56
3	127	56
4	133	56
5	145	56
6	146	56
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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

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)

series14.0ms (0.9%)

Memory

-47.7MiB live, 5.3MiB allocated; 13ms collecting garbage

Counts

5 → 23

Calls

Call 1

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

Outputs
#s(approx (+ (+ x y) z) #s(hole binary64 (+ y z)))
#s(approx (+ (+ x y) z) #s(hole binary64 (+ x (+ y z))))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (+ x y) z) #s(hole binary64 x))
#s(approx (+ (+ x y) z) #s(hole binary64 (* x (+ 1 (+ (/ y x) (/ z x))))))
#s(approx (+ x y) #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (+ (+ x y) z) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (+ (+ x y) z) #s(hole binary64 (+ x z)))
#s(approx y #s(hole binary64 y))
#s(approx (+ (+ x y) z) #s(hole binary64 y))
#s(approx (+ (+ x y) z) #s(hole binary64 (* y (+ 1 (+ (/ x y) (/ z y))))))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (+ (+ x y) z) #s(hole binary64 (* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
#s(approx (+ (+ x y) z) #s(hole binary64 (+ x y)))
#s(approx z #s(hole binary64 z))
#s(approx (+ (+ x y) z) #s(hole binary64 z))
#s(approx (+ (+ x y) z) #s(hole binary64 (* z (+ 1 (+ (/ x z) (/ y z))))))
#s(approx (+ (+ x y) z) #s(hole binary64 (* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))))

Calls

9 calls:

Time	Variable		Point	Expression
10.0ms	y	@	inf	((+ (+ x y) z) (+ x y) x y z)
1.0ms	y	@	-inf	((+ (+ x y) z) (+ x y) x y z)
1.0ms	x	@	-inf	((+ (+ x y) z) (+ x y) x y z)
0.0ms	x	@	inf	((+ (+ x y) z) (+ x y) x y z)
0.0ms	z	@	-inf	((+ (+ x y) z) (+ x y) x y z)

rewrite207.0ms (12.9%)

Memory

22.6MiB live, 210.7MiB allocated; 70ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	256
0	78	240
1	382	240
2	3821	240
0	8775	235

Stop Event

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

Counts

28 → 58

Calls

Call 1

Inputs
(+.f64 (+.f64 x y) z)
(+.f64 x y)
x
y
z
#s(approx (+ (+ x y) z) #s(hole binary64 (+ y z)))
#s(approx (+ (+ x y) z) #s(hole binary64 (+ x (+ y z))))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (+ x y) z) #s(hole binary64 x))
#s(approx (+ (+ x y) z) #s(hole binary64 (* x (+ 1 (+ (/ y x) (/ z x))))))
#s(approx (+ x y) #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (+ (+ x y) z) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (+ (+ x y) z) #s(hole binary64 (+ x z)))
#s(approx y #s(hole binary64 y))
#s(approx (+ (+ x y) z) #s(hole binary64 y))
#s(approx (+ (+ x y) z) #s(hole binary64 (* y (+ 1 (+ (/ x y) (/ z y))))))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (+ (+ x y) z) #s(hole binary64 (* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
#s(approx (+ (+ x y) z) #s(hole binary64 (+ x y)))
#s(approx z #s(hole binary64 z))
#s(approx (+ (+ x y) z) #s(hole binary64 z))
#s(approx (+ (+ x y) z) #s(hole binary64 (* z (+ 1 (+ (/ x z) (/ y z))))))
#s(approx (+ (+ x y) z) #s(hole binary64 (* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))))

Outputs
(/.f64 (-.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (+.f64 z y) x))
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (-.f64 z (+.f64 y x)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 z y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (-.f64 x y) z)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 z z))) (neg.f64 (-.f64 (+.f64 y x) z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 z y) (-.f64 (+.f64 z y) x) (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (-.f64 z (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 z y) #s(literal 2 binary64))) (-.f64 (-.f64 x y) z))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 z z)) (-.f64 (+.f64 y x) z))
(/.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (-.f64 (.f64 x x) (.f64 (+.f64 z y) x))))
(/.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 z y) (-.f64 (+.f64 z y) x) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) (fma.f64 z z (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (+.f64 y x) z))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) (fma.f64 z (-.f64 z (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 (-.f64 x y) z)) (/.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (-.f64 (-.f64 x y) z)))
(-.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 (+.f64 y x) z)) (/.f64 (*.f64 z z) (-.f64 (+.f64 y x) z)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z y) (-.f64 (+.f64 z y) x) (.f64 x x))) (/.f64 (pow.f64 (+.f64 z y) #s(literal 3 binary64)) (fma.f64 (+.f64 z y) (-.f64 (+.f64 z y) x) (.f64 x x))))
(+.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 z (-.f64 z (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(+.f64 (+.f64 z x) y)
(+.f64 (+.f64 z y) x)
(+.f64 (+.f64 y x) z)
(+.f64 z (+.f64 y x))
(+.f64 y (+.f64 z x))
(+.f64 x (+.f64 z y))
(/.f64 (-.f64 (.f64 y y) (.f64 x x)) (-.f64 y x))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 x y))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (.f64 x x) (.f64 y x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (.f64 y y) (-.f64 x y)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (.f64 x x))))
(+.f64 y x)
(+.f64 x y)
x
y
z
#s(approx (+ (+ x y) z) (+.f64 z y))
#s(approx (+ (+ x y) z) (+.f64 (+.f64 y x) z))
#s(approx (+ x y) y)
#s(approx (+ x y) (+.f64 y x))
#s(approx x x)
#s(approx (+ (+ x y) z) x)
#s(approx (+ (+ x y) z) (fma.f64 (/.f64 (+.f64 z y) x) x x))
#s(approx (+ x y) x)
#s(approx (+ x y) (fma.f64 (/.f64 y x) x x))
#s(approx (+ (+ x y) z) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 z y) x) #s(literal -1 binary64))))
#s(approx (+ x y) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64))))
#s(approx (+ (+ x y) z) (+.f64 z x))
#s(approx y y)
#s(approx (+ (+ x y) z) y)
#s(approx (+ (+ x y) z) (fma.f64 (/.f64 (+.f64 z x) y) y y))
#s(approx (+ x y) (fma.f64 (/.f64 x y) y y))
#s(approx (+ (+ x y) z) (*.f64 (neg.f64 y) (fma.f64 (/.f64 (+.f64 z x) y) #s(literal -1 binary64) #s(literal -1 binary64))))
#s(approx (+ x y) (*.f64 (neg.f64 y) (fma.f64 (/.f64 x y) #s(literal -1 binary64) #s(literal -1 binary64))))
#s(approx (+ (+ x y) z) (+.f64 y x))
#s(approx z z)
#s(approx (+ (+ x y) z) z)
#s(approx (+ (+ x y) z) (fma.f64 (/.f64 (+.f64 y x) z) z z))
#s(approx (+ (+ x y) z) (*.f64 (neg.f64 z) (fma.f64 (/.f64 (+.f64 y x) z) #s(literal -1 binary64) #s(literal -1 binary64))))

eval5.0ms (0.3%)

Memory: 10.2MiB live, 10.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 795 to 170 computations (78.6% saved)

prune4.0ms (0.3%)

Memory

9.0MiB live, 9.0MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	53	5	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	54	5	59

Accuracy

100.0%

Counts

59 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.2%	(+.f64 #s(approx (+ x y) y) z)
▶	98.3%	(+.f64 #s(approx (+ x y) x) z)
▶	45.4%	#s(approx (+ (+ x y) z) (+.f64 y x))
▶	54.7%	#s(approx (+ (+ x y) z) z)
▶	43.9%	#s(approx (+ (+ x y) z) x)

Compiler

Compiled 74 to 62 computations (16.2% saved)

series9.0ms (0.6%)

Memory

-41.7MiB live, 7.8MiB allocated; 8ms collecting garbage

Counts

11 → 30

Calls

Call 1

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

Outputs
#s(approx (+ (+ x y) z) #s(hole binary64 (+ y z)))
#s(approx (+ (+ x y) z) #s(hole binary64 (+ x (+ y z))))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (+ y x) #s(hole binary64 y))
#s(approx (+ y x) #s(hole binary64 (+ x y)))
#s(approx (+ (+ x y) z) #s(hole binary64 x))
#s(approx (+ (+ x y) z) #s(hole binary64 (* x (+ 1 (+ (/ y x) (/ z x))))))
#s(approx (+ x y) #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (+ y x) #s(hole binary64 x))
#s(approx (+ y x) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (+ (+ x y) z) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (+ y x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (+ (+ x y) z) #s(hole binary64 (+ x z)))
#s(approx y #s(hole binary64 y))
#s(approx (+ (+ x y) z) #s(hole binary64 y))
#s(approx (+ (+ x y) z) #s(hole binary64 (* y (+ 1 (+ (/ x y) (/ z y))))))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (+ y x) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (+ (+ x y) z) #s(hole binary64 (* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
#s(approx (+ y x) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
#s(approx (+ (+ x y) z) #s(hole binary64 (+ x y)))
#s(approx z #s(hole binary64 z))
#s(approx (+ (+ x y) z) #s(hole binary64 z))
#s(approx (+ (+ x y) z) #s(hole binary64 (* z (+ 1 (+ (/ x z) (/ y z))))))
#s(approx (+ (+ x y) z) #s(hole binary64 (* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))))

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	z	@	-inf	((+ (+ x y) z) (+ x y) x z (+ (+ x y) z) (+ (+ x y) z) (+ (+ x y) z) (+ y x) y (+ (+ x y) z) (+ x y))
0.0ms	y	@	-inf	((+ (+ x y) z) (+ x y) x z (+ (+ x y) z) (+ (+ x y) z) (+ (+ x y) z) (+ y x) y (+ (+ x y) z) (+ x y))
0.0ms	x	@	-inf	((+ (+ x y) z) (+ x y) x z (+ (+ x y) z) (+ (+ x y) z) (+ (+ x y) z) (+ y x) y (+ (+ x y) z) (+ x y))
0.0ms	x	@	inf	((+ (+ x y) z) (+ x y) x z (+ (+ x y) z) (+ (+ x y) z) (+ (+ x y) z) (+ y x) y (+ (+ x y) z) (+ x y))
0.0ms	z	@	inf	((+ (+ x y) z) (+ x y) x z (+ (+ x y) z) (+ (+ x y) z) (+ (+ x y) z) (+ y x) y (+ (+ x y) z) (+ x y))

rewrite168.0ms (10.5%)

Memory

36.7MiB live, 127.4MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	367
0	90	347
1	422	347
2	4168	347
0	8249	340

Stop Event

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

Counts

41 → 72

Calls

Call 1

Inputs
(+.f64 #s(approx (+ x y) x) z)
#s(approx (+ x y) x)
x
z
#s(approx (+ (+ x y) z) x)
#s(approx (+ (+ x y) z) z)
#s(approx (+ (+ x y) z) (+.f64 y x))
(+.f64 y x)
y
(+.f64 #s(approx (+ x y) y) z)
#s(approx (+ x y) y)
#s(approx (+ (+ x y) z) #s(hole binary64 (+ y z)))
#s(approx (+ (+ x y) z) #s(hole binary64 (+ x (+ y z))))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (+ y x) #s(hole binary64 y))
#s(approx (+ y x) #s(hole binary64 (+ x y)))
#s(approx (+ (+ x y) z) #s(hole binary64 x))
#s(approx (+ (+ x y) z) #s(hole binary64 (* x (+ 1 (+ (/ y x) (/ z x))))))
#s(approx (+ x y) #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (+ y x) #s(hole binary64 x))
#s(approx (+ y x) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (+ (+ x y) z) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (+ y x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (+ (+ x y) z) #s(hole binary64 (+ x z)))
#s(approx y #s(hole binary64 y))
#s(approx (+ (+ x y) z) #s(hole binary64 y))
#s(approx (+ (+ x y) z) #s(hole binary64 (* y (+ 1 (+ (/ x y) (/ z y))))))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (+ y x) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (+ (+ x y) z) #s(hole binary64 (* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
#s(approx (+ y x) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
#s(approx (+ (+ x y) z) #s(hole binary64 (+ x y)))
#s(approx z #s(hole binary64 z))
#s(approx (+ (+ x y) z) #s(hole binary64 z))
#s(approx (+ (+ x y) z) #s(hole binary64 (* z (+ 1 (+ (/ x z) (/ y z))))))
#s(approx (+ (+ x y) z) #s(hole binary64 (* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))))

Outputs
(/.f64 (-.f64 (*.f64 z z) (pow.f64 #s(approx (+ y x) x) #s(literal 2 binary64))) (-.f64 z #s(approx (+ y x) x)))
(/.f64 (neg.f64 (*.f64 (+.f64 z #s(approx (+ y x) x)) (-.f64 #s(approx (+ y x) x) z))) (neg.f64 (-.f64 #s(approx (+ y x) x) z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 #s(approx (+ y x) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (-.f64 z #s(approx (+ y x) x)) (pow.f64 #s(approx (+ y x) x) #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 z #s(approx (+ y x) x)) (-.f64 #s(approx (+ y x) x) z)) (-.f64 #s(approx (+ y x) x) z))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 #s(approx (+ y x) x) #s(literal 3 binary64))) (fma.f64 z z (-.f64 (pow.f64 #s(approx (+ y x) x) #s(literal 2 binary64)) (*.f64 z #s(approx (+ y x) x)))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 #s(approx (+ y x) x) #s(literal 3 binary64))) (fma.f64 z (-.f64 z #s(approx (+ y x) x)) (pow.f64 #s(approx (+ y x) x) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 #s(approx (+ y x) x) #s(literal 2 binary64)) (-.f64 #s(approx (+ y x) x) z)) (/.f64 (*.f64 z z) (-.f64 #s(approx (+ y x) x) z)))
(+.f64 (/.f64 (pow.f64 #s(approx (+ y x) x) #s(literal 3 binary64)) (fma.f64 z (-.f64 z #s(approx (+ y x) x)) (pow.f64 #s(approx (+ y x) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z #s(approx (+ y x) x)) (pow.f64 #s(approx (+ y x) x) #s(literal 2 binary64)))))
(+.f64 z #s(approx (+ y x) x))
(+.f64 #s(approx (+ y x) x) z)
#s(approx (+ y x) x)
x
z
#s(approx (+ (+ x y) z) x)
#s(approx (+ (+ x y) z) z)
#s(approx (+ (+ x y) z) (+.f64 y x))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 x y))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(-.f64 (/.f64 (.f64 y y) (-.f64 y x)) (/.f64 (.f64 x x) (-.f64 y x)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (.f64 y y) (-.f64 x y)))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (.f64 y y))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (.f64 x x))))
(+.f64 y x)
(+.f64 x y)
y
(/.f64 (-.f64 (*.f64 z z) (pow.f64 #s(approx (+ y x) y) #s(literal 2 binary64))) (-.f64 z #s(approx (+ y x) y)))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(approx (+ y x) y) z) (-.f64 #s(approx (+ y x) y) z))) (neg.f64 (-.f64 #s(approx (+ y x) y) z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (+ y x) y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (+ y x) y) #s(approx (+ y x) y) (*.f64 z (-.f64 z #s(approx (+ y x) y))))))
(/.f64 (*.f64 (+.f64 #s(approx (+ y x) y) z) (-.f64 #s(approx (+ y x) y) z)) (-.f64 #s(approx (+ y x) y) z))
(/.f64 (+.f64 (pow.f64 #s(approx (+ y x) y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (-.f64 (pow.f64 #s(approx (+ y x) y) #s(literal 2 binary64)) (*.f64 #s(approx (+ y x) y) z))))
(/.f64 (+.f64 (pow.f64 #s(approx (+ y x) y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 #s(approx (+ y x) y) #s(approx (+ y x) y) (*.f64 z (-.f64 z #s(approx (+ y x) y)))))
(-.f64 (/.f64 (pow.f64 #s(approx (+ y x) y) #s(literal 2 binary64)) (-.f64 #s(approx (+ y x) y) z)) (/.f64 (*.f64 z z) (-.f64 #s(approx (+ y x) y) z)))
(+.f64 (/.f64 (pow.f64 #s(approx (+ y x) y) #s(literal 3 binary64)) (fma.f64 #s(approx (+ y x) y) #s(approx (+ y x) y) (.f64 z (-.f64 z #s(approx (+ y x) y))))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 #s(approx (+ y x) y) #s(approx (+ y x) y) (.f64 z (-.f64 z #s(approx (+ y x) y))))))
(+.f64 #s(approx (+ y x) y) z)
(+.f64 z #s(approx (+ y x) y))
#s(approx (+ y x) y)
#s(approx (+ (+ x y) z) (+.f64 z y))
#s(approx (+ (+ x y) z) (+.f64 z (+.f64 y x)))
#s(approx (+ y x) y)
#s(approx (+ y x) (+.f64 y x))
#s(approx x x)
#s(approx (+ y x) y)
#s(approx (+ y x) (+.f64 y x))
#s(approx (+ (+ x y) z) x)
#s(approx (+ (+ x y) z) (fma.f64 (/.f64 (+.f64 z y) x) x x))
#s(approx (+ y x) x)
#s(approx (+ y x) (fma.f64 (/.f64 y x) x x))
#s(approx (+ y x) x)
#s(approx (+ y x) (fma.f64 (/.f64 y x) x x))
#s(approx (+ (+ x y) z) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 z y) x) #s(literal -1 binary64))))
#s(approx (+ y x) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64))))
#s(approx (+ y x) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64))))
#s(approx (+ (+ x y) z) (+.f64 z x))
#s(approx y y)
#s(approx (+ (+ x y) z) y)
#s(approx (+ (+ x y) z) (fma.f64 (/.f64 (+.f64 z x) y) y y))
#s(approx (+ y x) (fma.f64 (/.f64 x y) y y))
#s(approx (+ y x) (fma.f64 (/.f64 x y) y y))
#s(approx (+ (+ x y) z) (*.f64 (neg.f64 y) (fma.f64 (/.f64 (+.f64 z x) y) #s(literal -1 binary64) #s(literal -1 binary64))))
#s(approx (+ y x) (*.f64 (neg.f64 y) (fma.f64 (/.f64 x y) #s(literal -1 binary64) #s(literal -1 binary64))))
#s(approx (+ y x) (*.f64 (neg.f64 y) (fma.f64 (/.f64 x y) #s(literal -1 binary64) #s(literal -1 binary64))))
#s(approx (+ (+ x y) z) (+.f64 y x))
#s(approx z z)
#s(approx (+ (+ x y) z) z)
#s(approx (+ (+ x y) z) (fma.f64 (/.f64 (+.f64 y x) z) z z))
#s(approx (+ (+ x y) z) (*.f64 (neg.f64 z) (fma.f64 (/.f64 (+.f64 y x) z) #s(literal -1 binary64) #s(literal -1 binary64))))

eval6.0ms (0.4%)

Memory: 10.0MiB live, 10.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 149 to 193 computations (83.2% saved)

prune26.0ms (1.6%)

Memory

-43.0MiB live, 8.3MiB allocated; 6ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	0	0
Picked	0	5	5
Done	0	0	0
Total	70	5	75

Accuracy

100.0%

Counts

75 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	56.2%	(+.f64 #s(approx (+ x y) y) z)
✓	98.3%	(+.f64 #s(approx (+ x y) x) z)
✓	45.4%	#s(approx (+ (+ x y) z) (+.f64 y x))
✓	54.7%	#s(approx (+ (+ x y) z) z)
✓	43.9%	#s(approx (+ (+ x y) z) x)

Compiler

Compiled 79 to 46 computations (41.8% saved)

regimes12.0ms (0.8%)

Memory

17.5MiB live, 17.5MiB allocated; 0ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 11 to 18 computations (-63.6% saved)

regimes11.0ms (0.7%)

Memory

16.3MiB live, 16.3MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
98.3%	1	`(+.f64 x y)`
98.3%	1	`(+.f64 (+.f64 x y) z)`
98.3%	1	`x`
98.3%	1	`y`
98.3%	1	`z`

Compiler

Compiled 11 to 18 computations (-63.6% saved)

regimes14.0ms (0.9%)

Memory

-32.8MiB live, 13.9MiB allocated; 2ms collecting garbage

Counts

3 → 2

Calls

Call 1

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

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

Calls

5 calls:

8.0ms	x
2.0ms	y
2.0ms	(+.f64 x y)
2.0ms	z
2.0ms	(+.f64 (+.f64 x y) z)

Results

Accuracy	Segments	Branch
82.6%	2	`x`
83.4%	2	`z`
82.8%	2	`(+.f64 x y)`
97.6%	2	`(+.f64 (+.f64 x y) z)`
76.8%	2	`y`

Compiler

Compiled 11 to 18 computations (-63.6% saved)

regimes2.0ms (0.1%)

Memory

2.7MiB live, 2.7MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
96.8%	2	`(+.f64 (+.f64 x y) z)`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes5.0ms (0.3%)

Memory

10.8MiB live, 10.8MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
43.9%	1	`y`
43.9%	1	`x`
43.9%	1	`(+.f64 x y)`
43.9%	1	`z`
43.9%	1	`(+.f64 (+.f64 x y) z)`

Compiler

Compiled 11 to 18 computations (-63.6% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.6444097740305183e-258	5.875402842572516e-266

Compiler

Compiled 8 to 11 computations (-37.5% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.6444097740305183e-258	5.875402842572516e-266

Compiler

Compiled 8 to 11 computations (-37.5% saved)

simplify9.0ms (0.6%)

Memory

11.3MiB live, 11.3MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	65
1	21	65
2	28	65
3	30	65

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 x y) z)
(+.f64 #s(approx (+ x y) x) z)
(if (<=.f64 (+.f64 (+.f64 x y) z) #s(literal -8655577598126739/8655577598126739396236735036072208081204794589775815018544508256693025219489380097628852320463375366466345287569524796274808382414891999842312830623136802028067007430639699299020497185610570810212749031968132110813561295548441587529128294789399125630804600109428539364737024 binary64)) #s(approx (+ (+ x y) z) (+.f64 y x)) #s(approx (+ (+ x y) z) z))
(if (<=.f64 (+.f64 (+.f64 x y) z) #s(literal -8655577598126739/8655577598126739396236735036072208081204794589775815018544508256693025219489380097628852320463375366466345287569524796274808382414891999842312830623136802028067007430639699299020497185610570810212749031968132110813561295548441587529128294789399125630804600109428539364737024 binary64)) #s(approx (+ (+ x y) z) x) #s(approx (+ (+ x y) z) z))
#s(approx (+ (+ x y) z) x)

Outputs
(+.f64 (+.f64 x y) z)
(+.f64 #s(approx (+ x y) x) z)
(if (<=.f64 (+.f64 (+.f64 x y) z) #s(literal -8655577598126739/8655577598126739396236735036072208081204794589775815018544508256693025219489380097628852320463375366466345287569524796274808382414891999842312830623136802028067007430639699299020497185610570810212749031968132110813561295548441587529128294789399125630804600109428539364737024 binary64)) #s(approx (+ (+ x y) z) (+.f64 y x)) #s(approx (+ (+ x y) z) z))
(if (<=.f64 (+.f64 (+.f64 x y) z) #s(literal -8655577598126739/8655577598126739396236735036072208081204794589775815018544508256693025219489380097628852320463375366466345287569524796274808382414891999842312830623136802028067007430639699299020497185610570810212749031968132110813561295548441587529128294789399125630804600109428539364737024 binary64)) #s(approx (+ (+ x y) z) x) #s(approx (+ (+ x y) z) z))
#s(approx (+ (+ x y) z) x)

derivations125.0ms (7.8%)

Memory

-21.6MiB live, 117.4MiB allocated; 23ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 65 to 17 computations (73.8% saved)

preprocess24.0ms (1.5%)

Memory: 13.0MiB live, 58.3MiB allocated; 5ms collecting garbage
Remove: (sort x y z)
Compiler: Compiled 160 to 64 computations (60% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Iter	Nodes	Cost
0	22	59
1	47	58
2	84	56
3	127	56
4	133	56
5	145	56
6	146	56
0	5	5
0	7	5
1	11	5
2	18	5
3	20	5
0	20	5

Iter	Nodes	Cost
0	22	59
1	47	58
2	84	56
3	127	56
4	133	56
5	145	56
6	146	56
0	5	5
0	7	5
1	11	5
2	18	5
3	20	5
0	20	5

start0.0ms (0%)

analyze1.0ms (0%)

sample893.0ms (55.9%)

explain47.0ms (3%)

preprocess15.0ms (0.9%)

eval0.0ms (0%)

prune0.0ms (0%)

series14.0ms (0.9%)

rewrite207.0ms (12.9%)

eval5.0ms (0.3%)

prune4.0ms (0.3%)

series9.0ms (0.6%)

rewrite168.0ms (10.5%)

eval6.0ms (0.4%)

prune26.0ms (1.6%)

regimes12.0ms (0.8%)

regimes11.0ms (0.7%)

regimes14.0ms (0.9%)

regimes2.0ms (0.1%)

regimes5.0ms (0.3%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify9.0ms (0.6%)

derivations125.0ms (7.8%)

preprocess24.0ms (1.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	22	59
1	47	58
2	84	56
3	127	56
4	133	56
5	145	56
6	146	56
0	5	5
0	7	5
1	11	5
2	18	5
3	20	5
0	20	5