Metrics for Diagrams.Solve.Tridiagonal:solveTriDiagonal from diagrams-solve-0.1, C

start0.0ms (0.0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze1.0ms (0.0%)

Memory

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

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0.0%	0.0%	99.9%	0.1%	0.0%	0.0%	0.0%	0
100.0%	99.9%	0.0%	0.1%	0.0%	0.0%	0.0%	1

Compiler

Compiled 7 to 7 computations (0.0% saved)

sample602.0ms (44.2%)

Memory

1.8MiB live, 763.0MiB allocated; 193ms collecting garbage

Samples

358.0ms

8 256×

valid

Precisions

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

ival-mult!: 53.0ms (55.5% of total)

ival-sub!: 32.0ms (33.5% of total)

adjust: 11.0ms (11.5% of total)

Bogosity

preprocess17.0ms (1.3%)

Memory

28.4MiB live, 28.4MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	53
1	66	53
2	136	53
3	207	53
4	210	53

Stop Event

1×

saturated

Alt Table

Click to see full alt table

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

Symmetry

(sort y z)

Compiler

Compiled 10 to 10 computations (0.0% saved)

series67.0ms (4.9%)

Memory

-52.9MiB live, 26.7MiB allocated; 132ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	143

Stop Event

1×	iter-limit

Counts

5 → 13

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable	Point
1.0ms	y	-inf
1.0ms	z	-inf
1.0ms	x	-inf
1.0ms	y	inf
0.0ms	z	inf

rewrite269.0ms (19.8%)

Memory

-1.6MiB live, 186.1MiB allocated; 38ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
0	7	11
1	32	11
2	91	11
3	190	11
4	319	11
5	646	11
6	3324	11
0	4462	11

Stop Event

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

Counts

5 → 25

Calls

Call 1

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

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

eval3.0ms (0.2%)

Memory: 6.5MiB live, 6.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 469 to 123 computations (73.8% saved)

prune2.0ms (0.1%)

Memory

3.3MiB live, 3.3MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	33	1	34
Fresh	0	0	0
Picked	1	0	1
Done	-1	1	0
Total	33	2	35

Accuracy

100.0%

Counts

35 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 x (*.f64 y z))
▶	93.7%	(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 z y) x)) x)

Compiler

Compiled 14 to 13 computations (7.1% saved)

series15.0ms (1.1%)

Memory

26.5MiB live, 26.5MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	309

Stop Event

1×	iter-limit

Counts

8 → 21

Calls

Call 1

Inputs
#s(literal 1 binary64)
z
y
(*.f64 z y)
x
(/.f64 (*.f64 z y) x)
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 z y) x)) x)

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

Calls

9 calls:

Time	Variable	Point
2.0ms	z	-inf
1.0ms	x	inf
1.0ms	y	-inf
1.0ms	x	-inf
1.0ms	y	inf

rewrite121.0ms (8.9%)

Memory

-14.1MiB live, 176.8MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
0	12	24
1	50	24
2	198	24
3	907	24
0	4233	24

Stop Event

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

Counts

8 → 559

Calls

Call 1

Inputs
#s(literal 1 binary64)
z
y
(*.f64 z y)
x
(/.f64 (*.f64 z y) x)
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 z y) x)) x)

Outputs
#s(literal 1 binary64)
z
y
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 y z) #s(literal 0 binary64)) (.f64 y z))) (*.f64 y z))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 0 binary64) (.f64 y z)) (.f64 y z))) (*.f64 y z))
(*.f64 (/.f64 (neg.f64 (neg.f64 z)) #s(literal 2 binary64)) (/.f64 y #s(literal 1/2 binary64)))
(*.f64 (/.f64 (neg.f64 (neg.f64 y)) #s(literal 2 binary64)) (/.f64 z #s(literal 1/2 binary64)))
(*.f64 (/.f64 (neg.f64 (neg.f64 z)) (/.f64 #s(literal 1 binary64) x)) (/.f64 y x))
(*.f64 (/.f64 (neg.f64 (neg.f64 y)) (/.f64 #s(literal 1 binary64) x)) (/.f64 z x))
(*.f64 (/.f64 (neg.f64 z) #s(literal 2 binary64)) (/.f64 (neg.f64 y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) x)) (/.f64 (neg.f64 y) x))
(.f64 (/.f64 (.f64 y z) #s(literal 2 binary64)) #s(literal 2 binary64))
(.f64 (/.f64 (.f64 y z) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 z #s(literal 2 binary64)) (/.f64 (.f64 y #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 z #s(literal 2 binary64)) (/.f64 (neg.f64 (neg.f64 y)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 z #s(literal 2 binary64)) (/.f64 y #s(literal 1/2 binary64)))
(*.f64 (/.f64 z (/.f64 #s(literal 1 binary64) x)) (/.f64 y x))
(*.f64 (/.f64 (neg.f64 (neg.f64 z)) #s(literal 1 binary64)) (/.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 (neg.f64 y)) #s(literal 1 binary64)) (/.f64 z #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 y) #s(literal 2 binary64)) (/.f64 (neg.f64 z) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) x)) (/.f64 (neg.f64 z) x))
(.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 (.f64 z #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 (neg.f64 (neg.f64 z)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 z #s(literal 1/2 binary64)))
(*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) (/.f64 z x))
(*.f64 (neg.f64 (neg.f64 z)) y)
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 z) x) (/.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 (.f64 z #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 (neg.f64 (neg.f64 z)) #s(literal 1 binary64)))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 z #s(literal 1 binary64)))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 z #s(literal -1 binary64)))
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 (neg.f64 (neg.f64 y)) #s(literal 1 binary64)))
(.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 (.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 y #s(literal 1 binary64)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y z) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (neg.f64 y)) z)
(*.f64 (/.f64 z x) (/.f64 (neg.f64 (neg.f64 y)) (/.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 z x) (/.f64 (.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 z x) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (neg.f64 y) x) (/.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (neg.f64 z) (neg.f64 y))
(*.f64 (neg.f64 y) (neg.f64 z))
(.f64 (/.f64 y x) (/.f64 (.f64 z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 y x) (/.f64 (neg.f64 (neg.f64 z)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 y x) (/.f64 z (/.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 y z) (/.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (.f64 y z) x) x)
(.f64 x (/.f64 (.f64 y z) x))
(.f64 (.f64 y z) #s(literal 1 binary64))
(.f64 y (.f64 z #s(literal 1 binary64)))
(*.f64 y (neg.f64 (neg.f64 z)))
(*.f64 y z)
(.f64 z (.f64 y #s(literal 1 binary64)))
(*.f64 z (neg.f64 (neg.f64 y)))
(*.f64 z y)
(.f64 #s(literal 1 binary64) (.f64 y z))
(/.f64 (-.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 (.f64 (.f64 y z) #s(literal 0 binary64)) (.f64 (.f64 y z) #s(literal 0 binary64)))) (-.f64 (.f64 y z) (.f64 (*.f64 y z) #s(literal 0 binary64))))
(/.f64 (-.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 (.f64 #s(literal 0 binary64) (.f64 y z)) (.f64 #s(literal 0 binary64) (.f64 y z)))) (-.f64 (.f64 y z) (.f64 #s(literal 0 binary64) (*.f64 y z))))
(/.f64 (+.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 y z) #s(literal 0 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 y z) (.f64 y z)) (-.f64 (.f64 (.f64 (.f64 y z) #s(literal 0 binary64)) (.f64 (.f64 y z) #s(literal 0 binary64))) (.f64 (.f64 y z) (.f64 (*.f64 y z) #s(literal 0 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 0 binary64) (.f64 y z)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 y z) (.f64 y z)) (-.f64 (.f64 (.f64 #s(literal 0 binary64) (.f64 y z)) (.f64 #s(literal 0 binary64) (.f64 y z))) (.f64 (.f64 y z) (.f64 #s(literal 0 binary64) (*.f64 y z))))))
(/.f64 (neg.f64 (.f64 (.f64 y z) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 y z) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 z) y) #s(literal -1 binary64))
(/.f64 (*.f64 y z) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 y z) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y z)))
(neg.f64 (*.f64 (neg.f64 z) y))
(+.f64 (.f64 y z) (/.f64 (.f64 (*.f64 y z) #s(literal 0 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 y z) (/.f64 (.f64 #s(literal 0 binary64) (*.f64 y z)) #s(literal 1 binary64)))
(+.f64 (.f64 y z) (.f64 (*.f64 y z) #s(literal 0 binary64)))
(+.f64 (.f64 y z) (.f64 #s(literal 0 binary64) (*.f64 y z)))
x
(.f64 (/.f64 (/.f64 (.f64 y z) x) #s(literal 2 binary64)) #s(literal 2 binary64))
(.f64 (/.f64 (/.f64 (.f64 y z) x) x) x)
(.f64 (/.f64 (/.f64 (.f64 y z) x) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (neg.f64 (neg.f64 z)) #s(literal 2 binary64)) (/.f64 (/.f64 y x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (neg.f64 (neg.f64 z)) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 y x) x))
(*.f64 (/.f64 (/.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 (/.f64 z x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 z x) x))
(*.f64 (/.f64 (/.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 z x))
(*.f64 (/.f64 (/.f64 z #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 (/.f64 y x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (/.f64 z x) #s(literal 2 binary64)) (/.f64 (/.f64 y #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (/.f64 z x) #s(literal 2 binary64)) (/.f64 y #s(literal 1/2 binary64)))
(*.f64 (/.f64 (/.f64 z x) x) (/.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (/.f64 z x) x) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 y x) x))
(*.f64 (/.f64 (/.f64 z #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 y x))
(*.f64 (/.f64 (neg.f64 z) #s(literal 2 binary64)) (/.f64 (/.f64 (neg.f64 y) x) #s(literal 1/2 binary64)))
(.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) (/.f64 (.f64 (neg.f64 z) y) #s(literal 1/2 binary64)))
(.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 (.f64 (neg.f64 z) y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) x)) (/.f64 y x))
(*.f64 (/.f64 (/.f64 y x) #s(literal 2 binary64)) (/.f64 (/.f64 z #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (/.f64 y x) #s(literal 2 binary64)) (/.f64 z #s(literal 1/2 binary64)))
(*.f64 (/.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) x)) (/.f64 z x))
(*.f64 (/.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (neg.f64 y) x) x))
(*.f64 (/.f64 (/.f64 y x) x) (/.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (/.f64 y x) x) (/.f64 z (/.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (.f64 (neg.f64 z) y) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))
(.f64 (/.f64 (.f64 (neg.f64 z) y) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
(.f64 (/.f64 (.f64 y z) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
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(/.f64 (+.f64 (.f64 (.f64 (.f64 (neg.f64 z) y) x) #s(literal 2 binary64)) (.f64 x (.f64 x #s(literal 2 binary64)))) (.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (.f64 (.f64 (.f64 (neg.f64 z) y) x) #s(literal 2 binary64)) (.f64 x (+.f64 x x))) (*.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 (neg.f64 z) y)) #s(literal 2 binary64)) (.f64 x (.f64 x #s(literal 2 binary64)))) (.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 (neg.f64 z) y)) #s(literal 2 binary64)) (.f64 x (+.f64 x x))) (*.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 y z)) #s(literal 2 binary64)) (.f64 (neg.f64 x) (.f64 x #s(literal 2 binary64)))) (.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 y z)) #s(literal 2 binary64)) (.f64 (neg.f64 x) (+.f64 x x))) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (+.f64 (.f64 (.f64 x #s(literal 2 binary64)) (neg.f64 x)) (.f64 #s(literal 2 binary64) (.f64 (.f64 y z) x))) (.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (+.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) (.f64 #s(literal 2 binary64) (.f64 (*.f64 (neg.f64 z) y) x))) (+.f64 x x))
(/.f64 (+.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) (.f64 #s(literal 2 binary64) (.f64 x (*.f64 (neg.f64 z) y)))) (+.f64 x x))
(/.f64 (+.f64 (.f64 (.f64 x #s(literal 2 binary64)) (neg.f64 x)) (.f64 #s(literal 2 binary64) (.f64 x (.f64 y z)))) (.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (+.f64 (.f64 (+.f64 x x) (neg.f64 x)) (.f64 #s(literal 2 binary64) (.f64 (.f64 y z) x))) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (+.f64 (.f64 (+.f64 x x) x) (.f64 #s(literal 2 binary64) (.f64 (.f64 (neg.f64 z) y) x))) (+.f64 x x))
(/.f64 (+.f64 (.f64 (+.f64 x x) x) (.f64 #s(literal 2 binary64) (.f64 x (.f64 (neg.f64 z) y)))) (+.f64 x x))
(/.f64 (+.f64 (.f64 (+.f64 x x) (neg.f64 x)) (.f64 #s(literal 2 binary64) (.f64 x (.f64 y z)))) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (+.f64 (.f64 x (neg.f64 x)) (.f64 x (*.f64 y z))) (neg.f64 x))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 (*.f64 y z) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (+.f64 x x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 (.f64 y z) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 x (.f64 y z)) x))) x)
(/.f64 (.f64 (-.f64 (.f64 y z) x) x) (neg.f64 x))
(/.f64 (.f64 x (-.f64 (.f64 y z) x)) (neg.f64 x))
(/.f64 (+.f64 (.f64 (.f64 (neg.f64 z) y) #s(literal 2 binary64)) (+.f64 x x)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (neg.f64 z) y) (.f64 (neg.f64 z) y))) (-.f64 x (*.f64 (neg.f64 z) y)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 z) y) #s(literal 3 binary64))) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 (neg.f64 z) y) (.f64 (neg.f64 z) y)) (.f64 x (*.f64 (neg.f64 z) y)))))
(/.f64 (+.f64 (.f64 (.f64 (neg.f64 z) y) #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 (-.f64 x (.f64 y z)) x)) (neg.f64 x))
(/.f64 (.f64 (-.f64 x (.f64 y z)) x) x)
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y z) #s(literal 3 binary64))) (+.f64 (.f64 x x) (+.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 x (*.f64 y z)))))
(/.f64 (-.f64 (*.f64 y z) x) #s(literal -1 binary64))
(/.f64 (-.f64 x (*.f64 y z)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (.f64 (-.f64 (.f64 y z) x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (.f64 x (-.f64 (.f64 y z) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (neg.f64 (.f64 (-.f64 x (.f64 y z)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z))))
(/.f64 #s(literal 1 binary64) (/.f64 x (.f64 (-.f64 x (.f64 y z)) x)))
(neg.f64 (-.f64 (*.f64 y z) x))
(-.f64 x (/.f64 (.f64 (neg.f64 x) (.f64 (/.f64 (neg.f64 y) x) z)) #s(literal 1 binary64)))
(-.f64 x (.f64 (neg.f64 x) (.f64 (/.f64 (neg.f64 y) x) z)))
(-.f64 x (*.f64 y z))
(+.f64 (/.f64 (.f64 x x) x) (.f64 (neg.f64 z) y))
(+.f64 (/.f64 (*.f64 y z) #s(literal -1 binary64)) x)
(+.f64 (*.f64 (neg.f64 z) y) x)
(+.f64 x (/.f64 (*.f64 y z) #s(literal -1 binary64)))
(+.f64 x (*.f64 (neg.f64 z) y))

eval51.0ms (3.7%)

Memory: 10.9MiB live, 103.2MiB allocated; 8ms collecting garbage
Compiler: Compiled 9 557 to 1 976 computations (79.3% saved)

prune11.0ms (0.8%)

Memory

-24.2MiB live, 22.2MiB allocated; 4ms collecting garbage

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	572	1	573
Fresh	0	0	0
Picked	1	0	1
Done	-1	2	1
Total	572	3	575

Accuracy

100.0%

Counts

575 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 x (*.f64 y z))
✓	93.7%	(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 z y) x)) x)
▶	49.7%	(.f64 #s(approx (- 1 (/ ( z y) x)) #s(literal 1 binary64)) x)

Compiler

Compiled 25 to 23 computations (8.0% saved)

series8.0ms (0.6%)

Memory

10.5MiB live, 10.5MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	285

Stop Event

1×	iter-limit

Counts

4 → 17

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable	Point
1.0ms	x	-inf
0.0ms	x	inf
0.0ms	y	-inf
0.0ms	x	0
0.0ms	z	-inf

rewrite132.0ms (9.7%)

Memory

9.1MiB live, 150.5MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	22
0	10	22
1	47	22
2	168	22
3	709	22
0	4069	22

Stop Event

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

Counts

4 → 10

Calls

Call 1

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

Outputs
x
#s(literal 1 binary64)
#s(approx (- 1 (/ (* z y) x)) #s(literal 1 binary64))
(.f64 (.f64 #s(approx (- 1 (/ (* z y) x)) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(.f64 (.f64 #s(approx (- 1 (/ (* z y) x)) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(.f64 #s(approx (- 1 (/ ( z y) x)) #s(literal 1 binary64)) x)
(.f64 x (.f64 #s(literal 1 binary64) #s(approx (- 1 (/ (* z y) x)) #s(literal 1 binary64))))
(.f64 x #s(approx (- 1 (/ ( z y) x)) #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 #s(approx (- 1 (/ (* z y) x)) #s(literal 1 binary64)) x))
(/.f64 (.f64 #s(approx (- 1 (/ ( z y) x)) #s(literal 1 binary64)) x) #s(literal 1 binary64))

eval2.0ms (0.1%)

Memory: 4.6MiB live, 4.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 387 to 86 computations (77.8% saved)

prune2.0ms (0.1%)

Memory

3.5MiB live, 3.5MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	23	0	23
Fresh	0	0	0
Picked	1	0	1
Done	-1	3	2
Total	23	3	26

Accuracy

100.0%

Counts

26 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 x (*.f64 y z))
✓	93.7%	(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 z y) x)) x)
✓	49.7%	(.f64 #s(approx (- 1 (/ ( z y) x)) #s(literal 1 binary64)) x)

Compiler

Compiled 25 to 23 computations (8.0% saved)

regimes18.0ms (1.4%)

Memory

-4.9MiB live, 41.7MiB allocated; 3ms collecting garbage

Counts

1 → 1

3 → 1

Calls

Call 1

Inputs
(.f64 #s(approx (- 1 (/ ( z y) x)) #s(literal 1 binary64)) x)

Outputs
(.f64 #s(approx (- 1 (/ ( z y) x)) #s(literal 1 binary64)) x)

Call 2

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

Outputs
(-.f64 x (*.f64 y z))

Calls

10 calls:

3.0ms	(-.f64 x (*.f64 y z))
2.0ms	(*.f64 y z)
2.0ms	y
2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
49.7%	1	`(*.f64 y z)`
49.7%	1	`(-.f64 x (*.f64 y z))`
49.7%	1	`x`
49.7%	1	`y`
49.7%	1	`z`
100.0%	1	`(*.f64 y z)`
100.0%	1	`(-.f64 x (*.f64 y z))`
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`

Compiler

Compiled 47 to 52 computations (-10.6% saved)

derivations29.0ms (2.1%)

Memory

-26.2MiB live, 24.9MiB allocated; 16ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 16 to 12 computations (25.0% saved)

preprocess13.0ms (0.9%)

Memory: 30.9MiB live, 30.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 53 to 47 computations (11.3% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze1.0ms (0.0%)

sample602.0ms (44.2%)

preprocess17.0ms (1.3%)

series67.0ms (4.9%)

rewrite269.0ms (19.8%)

eval3.0ms (0.2%)

prune2.0ms (0.1%)

series15.0ms (1.1%)

rewrite121.0ms (8.9%)

eval51.0ms (3.7%)

prune11.0ms (0.8%)

series8.0ms (0.6%)

rewrite132.0ms (9.7%)

eval2.0ms (0.1%)

prune2.0ms (0.1%)

regimes18.0ms (1.4%)

derivations29.0ms (2.1%)

preprocess13.0ms (0.9%)

end0.0ms (0.0%)

Profiling