Metrics for Diagrams.TwoD.Apollonian:initialConfig from diagrams-contrib-1.3.0.5, A

analyze52.0ms (1.8%)

Memory

0.1MiB live, 19.7MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	49.9%	49.9%	0.1%	0%	0%	0%	3
50%	49.9%	49.9%	0.1%	0%	0%	0%	4
50%	49.9%	49.9%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	9
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	10
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	11
93.8%	93.6%	6.2%	0.1%	0%	0%	0%	12

Compiler

Compiled 36 to 25 computations (30.6% saved)

sample2.7s (93.5%)

Memory

26.2MiB live, 833.1MiB allocated

Samples

616.0ms	8 256×	valid-baseline
548.0ms	8 256×	valid-sollya
539.0ms	8 256×	valid-rival

Precisions

Click to see Rival histograms. Total time spent on operations: 339.0ms

ival-mult: 206.0ms (60.8% of total)

ival-div: 55.0ms (16.2% of total)

ival-sub: 33.0ms (9.7% of total)

ival-add: 32.0ms (9.4% of total)

ival-true: 7.0ms (2.1% of total)

...in/eval/compile.rkt:110:19: 3.0ms (0.9% of total)

ival-assert: 3.0ms (0.9% of total)

Precisions

Click to see Base histograms. Total time spent on operations: 343.0ms

ival-mult: 211.0ms (61.5% of total)

ival-div: 53.0ms (15.4% of total)

ival-add: 36.0ms (10.5% of total)

ival-sub: 34.0ms (9.9% of total)

const: 10.0ms (2.9% of total)

Bogosity

preprocess107.0ms (3.7%)

Memory

6.5MiB live, 22.0MiB allocated

Algorithm

1×	egg-herbie

Rules

684×	`div-sub`
578×	`sub-neg`
550×	`fmm-def`
425×	`associate-/l*`
376×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	47	672
1	164	660
2	533	660
3	2454	660
4	7758	660

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 (neg.f64 y) (neg.f64 y))) (.f64 z z)) (.f64 (neg.f64 y) #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 (neg.f64 z) (neg.f64 z))) (.f64 y #s(literal 2 binary64)))
(neg.f64 (/.f64 (-.f64 (+.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))))
(neg.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 (neg.f64 y) (neg.f64 y))) (.f64 z z)) (.f64 (neg.f64 y) #s(literal 2 binary64))))
(neg.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 (neg.f64 z) (neg.f64 z))) (.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) (.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (.f64 z z) (.f64 y y)) (.f64 x x)) (.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 z z)) (.f64 y y)) (.f64 z #s(literal 2 binary64)))

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

Symmetry

(abs x)

(abs z)

(negabs y)

Compiler

Compiled 18 to 11 computations (38.9% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
	65.1%	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))

Compiler

Compiled 36 to 22 computations (38.9% saved)

simplify2.0ms (0.1%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative`
3×	`sub-neg`
3×	`*-commutative`
2×	`neg-sub0`
2×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	64
1	25	64
2	33	64
3	37	64
4	39	64

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))

Outputs
(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))

soundness0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Stop Event

1×

fuel

Compiler

Compiled 18 to 11 computations (38.9% saved)

preprocess29.0ms (1%)

Memory

-11.3MiB live, 37.6MiB allocated

Remove

(negabs y)

(abs z)

(abs x)

Compiler

Compiled 324 to 198 computations (38.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze52.0ms (1.8%)

sample2.7s (93.5%)

preprocess107.0ms (3.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify2.0ms (0.1%)

soundness0.0ms (0%)

preprocess29.0ms (1%)

end0.0ms (0%)

Profiling