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

start0.0ms (0.0%)

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

analyze0.0ms (0.0%)

Memory

0.5MiB live, 0.5MiB 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)

sample542.0ms (30.6%)

Memory

-25.6MiB live, 828.5MiB allocated; 184ms collecting garbage

Samples

345.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-mult!: 51.0ms (70.3% of total)

ival-sub!: 20.0ms (27.6% of total)

adjust: 2.0ms (2.8% of total)

Bogosity

preprocess18.0ms (1.0%)

Memory

38.2MiB live, 38.2MiB 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)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs

Outputs

series25.0ms (1.4%)

Memory

-13.9MiB live, 31.6MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	149

Stop Event

1×	iter-limit

Counts

5 → 13

Calls

Call 1

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

Outputs
#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 x)
#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 (- x (* y z)) (+.f64 x (.f64 #s(literal -1 binary64) (.f64 y z))))
#s(approx (* y z) (*.f64 y z))
#s(approx y y)
#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
14.0ms	z	-inf
1.0ms	y	-inf
1.0ms	x	-inf
1.0ms	y	inf
0.0ms	z	inf

rewrite239.0ms (13.5%)

Memory

24.3MiB live, 207.5MiB allocated; 36ms 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 → 29

Calls

Call 1

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

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

eval6.0ms (0.3%)

Memory: -31.9MiB live, 14.3MiB allocated; 4ms collecting garbage
Compiler: Compiled 483 to 127 computations (73.7% saved)

prune2.0ms (0.1%)

Memory

4.9MiB live, 4.9MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	36	2	38
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	3	39

Accuracy

100.0%

Counts

39 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (neg.f64 z) y x)
✓	100.0%	(-.f64 x (*.f64 y z))
▶	50.6%	#s(approx (- x (* y z)) (.f64 #s(literal -1 binary64) (.f64 y z)))

Compiler

Compiled 21 to 19 computations (9.5% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs
-1

Outputs
#s(literal -1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series8.0ms (0.5%)

Memory

17.9MiB live, 17.9MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	217

Stop Event

1×	iter-limit

Counts

9 → 18

Calls

Call 1

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

Outputs
#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 (+ (* (neg z) y) x) (+.f64 x (.f64 #s(literal -1 binary64) (.f64 y z))))
#s(approx x x)
#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 z) (*.f64 y z))
#s(approx y y)
#s(approx (- x (* y z)) (*.f64 y (-.f64 (/.f64 x y) z)))
#s(approx (+ (* (neg z) y) x) (*.f64 y (fma.f64 #s(literal -1 binary64) z (/.f64 x y))))
#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 (+ (* (neg z) y) x) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 x y))))))
#s(approx z z)
#s(approx (neg z) (*.f64 #s(literal -1 binary64) z))
#s(approx (- x (* y z)) (*.f64 z (-.f64 (/.f64 x z) y)))
#s(approx (+ (* (neg z) y) x) (*.f64 z (fma.f64 #s(literal -1 binary64) y (/.f64 x z))))
#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)))))
#s(approx (+ (* (neg z) y) 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	z	0
1.0ms	z	-inf
1.0ms	y	-inf
1.0ms	z	inf
1.0ms	y	inf

rewrite111.0ms (6.3%)

Memory

4.6MiB live, 190.4MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	30
0	16	28
1	63	28
2	150	28
3	385	28
4	512	28
5	1591	28
0	4018	28

Stop Event

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

Counts

9 → 277

Calls

Call 1

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

Outputs
#s(approx (- x (* y z)) (*.f64 (neg.f64 z) y))
(.f64 (.f64 (*.f64 (neg.f64 z) y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 z) y)))
(.f64 (.f64 z y) #s(literal -1 binary64))
(*.f64 (neg.f64 y) z)
(.f64 #s(literal 1 binary64) (.f64 (neg.f64 z) y))
(.f64 (.f64 (neg.f64 z) y) #s(literal 1 binary64))
(*.f64 (neg.f64 z) y)
(.f64 #s(literal -1 binary64) (.f64 z y))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 (.f64 (neg.f64 z) y) (.f64 (neg.f64 z) y))) (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) y)))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 z) y) (.f64 (neg.f64 z) y)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 (neg.f64 z) y))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (neg.f64 z) y) #s(literal 1/2 binary64)) (.f64 (.f64 (neg.f64 z) y) #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 (neg.f64 z) y) #s(literal 1/2 binary64)) (.f64 (.f64 (neg.f64 z) y) #s(literal 1/2 binary64)))) (-.f64 (.f64 (.f64 (neg.f64 z) y) #s(literal 1/2 binary64)) (.f64 (.f64 (neg.f64 z) y) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (neg.f64 z) y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 z) y) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (neg.f64 z) y) #s(literal 1/2 binary64)) (.f64 (.f64 (neg.f64 z) y) #s(literal 1/2 binary64)) (-.f64 (.f64 (.f64 (.f64 (neg.f64 z) y) #s(literal 1/2 binary64)) (.f64 (.f64 (neg.f64 z) y) #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 (neg.f64 z) y) #s(literal 1/2 binary64)) (.f64 (.f64 (neg.f64 z) y) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 z) y)) (.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 z) y))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 z) y)) (.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 z) y)))) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 z) y)) (.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 z) y))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 z) y)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 z) y)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 z) y)) (.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 z) y)) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 z) y)) (.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 z) y))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 z) y)) (.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 z) y))))))
(/.f64 (+.f64 (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 z) y) #s(literal 3 binary64))) (fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) (-.f64 (.f64 (.f64 (neg.f64 z) y) (.f64 (neg.f64 z) y)) (.f64 #s(literal 0 binary64) (.f64 (neg.f64 z) y)))))
(/.f64 (+.f64 (pow.f64 (.f64 (neg.f64 z) y) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (fma.f64 (.f64 (neg.f64 z) y) (.f64 (neg.f64 z) y) (-.f64 (.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 (.f64 (neg.f64 z) y) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 y) (+.f64 z z))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 z) (+.f64 y y))) #s(literal -2 binary64))
(/.f64 (neg.f64 (.f64 #s(literal -1 binary64) (.f64 (+.f64 y y) z))) #s(literal -2 binary64))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 y y) z) #s(literal -1 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (+.f64 z z) (neg.f64 y))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (+.f64 y y) (neg.f64 z))) #s(literal -2 binary64))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 y y) z) #s(literal -2 binary64))) #s(literal -4 binary64))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 y y) z) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (neg.f64 (.f64 #s(literal -2 binary64) (.f64 (+.f64 y y) z))) #s(literal -4 binary64))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 y y) z))) #s(literal 4 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 y y) z))) #s(literal -2 binary64))
(/.f64 (*.f64 (neg.f64 y) (+.f64 z z)) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 z) (+.f64 y y)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (+.f64 y y) z)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 (+.f64 y y) z) #s(literal -1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (+.f64 z z) (neg.f64 y)) #s(literal 2 binary64))
(/.f64 (*.f64 (+.f64 y y) (neg.f64 z)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 (neg.f64 z) y) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 z y)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 z y) #s(literal -2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (neg.f64 z) y)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 (+.f64 y y) z) #s(literal -2 binary64)) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 (+.f64 y y) z) #s(literal 2 binary64)) #s(literal -4 binary64))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 (+.f64 y y) z)) #s(literal 4 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 y y) z)) #s(literal -4 binary64))
(/.f64 (neg.f64 (*.f64 (+.f64 y y) z)) #s(literal 2 binary64))
(/.f64 (*.f64 (+.f64 y y) z) #s(literal -2 binary64))
(/.f64 (*.f64 z y) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 z) y) #s(literal 1 binary64))
(neg.f64 (*.f64 z y))
(fma.f64 (.f64 (.f64 (neg.f64 z) y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 z) y) (.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 z) y)))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 z) y)) #s(literal 0 binary64))
(fma.f64 (*.f64 z y) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 y) z #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) y) #s(literal 0 binary64))
(fma.f64 (.f64 (neg.f64 z) y) #s(literal 1/2 binary64) (.f64 (*.f64 (neg.f64 z) y) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (neg.f64 z) y) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 z) y #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 z y) #s(literal 0 binary64))
(fma.f64 z (neg.f64 y) #s(literal 0 binary64))
(fma.f64 y (neg.f64 z) #s(literal 0 binary64))
(-.f64 (*.f64 (neg.f64 z) y) #s(literal 0 binary64))
(+.f64 (/.f64 (.f64 (.f64 (neg.f64 z) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (.f64 (.f64 (neg.f64 z) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 z) y)) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 z) y)) #s(literal 1 binary64)))
(+.f64 (/.f64 (.f64 (.f64 z y) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 (.f64 z y) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 z y)) #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 z y)) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 (neg.f64 z) y) #s(literal 1/2 binary64)) (.f64 (.f64 (neg.f64 z) y) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 z) y)) (.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 z) y)))
(+.f64 (/.f64 (.f64 z y) #s(literal -2 binary64)) (/.f64 (.f64 z y) #s(literal -2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) y))
(+.f64 (*.f64 (neg.f64 z) y) #s(literal 0 binary64))
#s(literal -1 binary64)
(.f64 (/.f64 (.f64 (+.f64 y y) z) #s(literal 8 binary64)) #s(literal 4 binary64))
(.f64 (/.f64 (.f64 (+.f64 y y) z) #s(literal 4 binary64)) #s(literal 2 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (.f64 z y))) (*.f64 z y))
(.f64 (/.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 2 binary64))
(.f64 (.f64 (+.f64 y y) z) #s(literal 1/2 binary64))
(.f64 #s(literal -2 binary64) (/.f64 (.f64 z y) #s(literal -2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 z y)))
(.f64 #s(literal 2 binary64) (/.f64 (.f64 z y) #s(literal 2 binary64)))
(.f64 (.f64 z y) #s(literal 1 binary64))
(*.f64 (neg.f64 y) (neg.f64 z))
(.f64 #s(literal 1 binary64) (.f64 z y))
(.f64 (.f64 (neg.f64 z) y) #s(literal -1 binary64))
(*.f64 (neg.f64 z) (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 z) y))
(*.f64 z y)
(*.f64 y z)
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(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (+.f64 z z))) #s(literal -4 binary64))
(/.f64 (neg.f64 (*.f64 (+.f64 z z) #s(literal -2 binary64))) #s(literal -4 binary64))
(/.f64 (neg.f64 (*.f64 (+.f64 z z) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (neg.f64 (neg.f64 (+.f64 z z))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 z z))) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 z z)) #s(literal 2 binary64))
(/.f64 (*.f64 z #s(literal -2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 z) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 (neg.f64 z) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (+.f64 z z) #s(literal -1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) z) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 z)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (+.f64 z z)) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 z z)) #s(literal -4 binary64))
(/.f64 (*.f64 (+.f64 z z) #s(literal -2 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 (+.f64 z z) #s(literal 2 binary64)) #s(literal -4 binary64))
(/.f64 (neg.f64 (+.f64 z z)) #s(literal 2 binary64))
(/.f64 (+.f64 z z) #s(literal -2 binary64))
(/.f64 (neg.f64 z) #s(literal 1 binary64))
(/.f64 z #s(literal -1 binary64))
(neg.f64 z)
(fma.f64 (*.f64 (neg.f64 z) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 z) (*.f64 #s(literal 1/2 binary64) (neg.f64 z)))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (neg.f64 z)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 z) #s(literal 0 binary64))
(fma.f64 (neg.f64 z) #s(literal 1/2 binary64) (*.f64 (neg.f64 z) #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 z) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) z #s(literal 0 binary64))
(fma.f64 z #s(literal -1 binary64) #s(literal 0 binary64))
(+.f64 (/.f64 (.f64 (neg.f64 z) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (.f64 (neg.f64 z) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 z)) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 z)) #s(literal 1 binary64)))
(+.f64 (.f64 (neg.f64 z) #s(literal 1/2 binary64)) (.f64 (neg.f64 z) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 z)) (.f64 #s(literal 1/2 binary64) (neg.f64 z)))
(+.f64 (/.f64 z #s(literal -2 binary64)) (/.f64 z #s(literal -2 binary64)))
(+.f64 #s(literal 0 binary64) (neg.f64 z))
(+.f64 (neg.f64 z) #s(literal 0 binary64))
x

eval47.0ms (2.7%)

Memory: -32.6MiB live, 124.9MiB allocated; 36ms collecting garbage
Compiler: Compiled 4 799 to 945 computations (80.3% saved)

prune5.0ms (0.3%)

Memory

24.9MiB live, 24.9MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	288	1	289
Fresh	0	0	0
Picked	1	1	2
Done	0	1	1
Total	289	3	292

Accuracy

100.0%

Counts

292 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (neg.f64 z) y x)
✓	100.0%	(-.f64 x (*.f64 y z))
▶	50.6%	#s(approx (- x (* y z)) (*.f64 (neg.f64 z) y))

Compiler

Compiled 20 to 18 computations (10.0% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs

Outputs

series10.0ms (0.5%)

Memory

-15.5MiB live, 26.0MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	152

Stop Event

1×	iter-limit

Counts

5 → 13

Calls

Call 1

Inputs
#s(approx (- x (* y z)) (*.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) y)
(neg.f64 z)
z
y

Outputs
#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)) x)
#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 (- x (* y z)) (+.f64 x (.f64 #s(literal -1 binary64) (.f64 y z))))
#s(approx y y)
#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 (neg z) (*.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	z	-inf
1.0ms	z	inf
0.0ms	y	inf
0.0ms	y	-inf
0.0ms	y	0

rewrite242.0ms (13.7%)

Memory

34.2MiB live, 217.3MiB allocated; 36ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
0	10	18
1	38	18
2	98	18
3	236	18
4	352	18
5	679	18
6	3357	18
0	4495	18

Stop Event

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

Counts

5 → 9

Calls

Call 1

Inputs
#s(approx (- x (* y z)) (*.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) y)
(neg.f64 z)
z
y

Outputs
#s(approx (- x (* y z)) (*.f64 (neg.f64 z) y))
(*.f64 (neg.f64 y) z)
(*.f64 (neg.f64 z) y)
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(neg.f64 (*.f64 z y))
(neg.f64 z)
z
y

eval2.0ms (0.1%)

Memory: 5.7MiB live, 5.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 218 to 66 computations (69.7% saved)

prune1.0ms (0.1%)

Memory

4.7MiB live, 4.7MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	16	1	17
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	16	4	20

Accuracy

100.0%

Counts

20 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (neg.f64 z) y x)
✓	100.0%	(-.f64 x (*.f64 y z))
✓	50.6%	#s(approx (- x (* y z)) (*.f64 (neg.f64 z) y))
▶	51.9%	#s(approx (- x (* y z)) x)

Compiler

Compiled 27 to 24 computations (11.1% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs

Outputs

series27.0ms (1.5%)

Memory

-27.4MiB live, 28.4MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	136

Stop Event

1×	iter-limit

Counts

2 → 10

Calls

Call 1

Inputs
#s(approx (- x (* y z)) x)
x

Outputs
#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 x)
#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 (- 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 (- 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
16.0ms	y	inf
7.0ms	z	-inf
0.0ms	x	-inf
0.0ms	x	inf
0.0ms	y	-inf

rewrite311.0ms (17.6%)

Memory

2.6MiB live, 180.7MiB allocated; 64ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
0	6	8
1	31	8
2	90	8
3	188	8
4	317	8
5	644	8
6	3322	8
0	4460	8

Stop Event

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

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (- x (* y z)) x)
x

Outputs
#s(approx (- x (* y z)) x)
x

eval1.0ms (0.1%)

Memory: 3.7MiB live, 3.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 142 to 45 computations (68.3% saved)

prune1.0ms (0.1%)

Memory

4.4MiB live, 4.4MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	10	0	10
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	10	4	14

Accuracy

100.0%

Counts

14 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (neg.f64 z) y x)
✓	100.0%	(-.f64 x (*.f64 y z))
✓	50.6%	#s(approx (- x (* y z)) (*.f64 (neg.f64 z) y))
✓	51.9%	#s(approx (- x (* y z)) x)

Compiler

Compiled 27 to 24 computations (11.1% saved)

regimes58.0ms (3.3%)

Memory

2.2MiB live, 92.6MiB allocated; 17ms collecting garbage

Counts

1 → 1

2 → 3

4 → 1

5 → 1

Calls

Call 1

Inputs
#s(approx (- x (* y z)) x)

Outputs
#s(approx (- x (* y z)) x)

Call 2

Inputs
#s(approx (- x (* y z)) x)
#s(approx (- x (* y z)) (*.f64 (neg.f64 z) y))

Outputs
#s(approx (- x (* y z)) (*.f64 (neg.f64 z) y))
#s(approx (- x (* y z)) x)
#s(approx (- x (* y z)) (*.f64 (neg.f64 z) y))

Call 3

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

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

Call 4

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

Outputs
(fma.f64 (neg.f64 z) y x)

Calls

20 calls:

18.0ms	x
3.0ms	(*.f64 y z)
3.0ms	z
3.0ms	(-.f64 x (*.f64 y z))
3.0ms	y

Results

Accuracy	Segments	Branch
51.9%	1	`(-.f64 x (*.f64 y z))`
51.9%	1	`y`
51.9%	1	`z`
51.9%	1	`x`
51.9%	1	`(*.f64 y z)`
80.8%	3	`(*.f64 y z)`
64.0%	3	`(-.f64 x (*.f64 y z))`
75.7%	3	`x`
72.1%	3	`y`
73.9%	3	`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`
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 82 to 87 computations (-6.1% saved)

bsearch0.0ms (0.0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.3342781401306862e-37	1.194537701414632e-31
0.0ms	-1.172796270012686e+58	-8.69892174620245e+56

Compiler

Compiled 10 to 12 computations (-20.0% saved)

derivations34.0ms (1.9%)

Memory

-14.8MiB live, 31.8MiB allocated; 3ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 56 to 18 computations (67.9% saved)

preprocess77.0ms (4.4%)

Memory: 13.5MiB live, 71.4MiB allocated; 56ms collecting garbage
Compiler: Compiled 173 to 87 computations (49.7% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze0.0ms (0.0%)

sample542.0ms (30.6%)

preprocess18.0ms (1.0%)

sample0.0ms (0.0%)

series25.0ms (1.4%)

rewrite239.0ms (13.5%)

eval6.0ms (0.3%)

prune2.0ms (0.1%)

sample0.0ms (0.0%)

series8.0ms (0.5%)

rewrite111.0ms (6.3%)

eval47.0ms (2.7%)

prune5.0ms (0.3%)

sample0.0ms (0.0%)

series10.0ms (0.5%)

rewrite242.0ms (13.7%)

eval2.0ms (0.1%)

prune1.0ms (0.1%)

sample0.0ms (0.0%)

series27.0ms (1.5%)

rewrite311.0ms (17.6%)

eval1.0ms (0.1%)

prune1.0ms (0.1%)

regimes58.0ms (3.3%)

bsearch0.0ms (0.0%)

derivations34.0ms (1.9%)

preprocess77.0ms (4.4%)

end0.0ms (0.0%)

Profiling