Metrics for Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F

start0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
100%	100%	0%	0%	0%	0%	0%	1

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample941.0ms (9.7%)

Memory

7.7MiB live, 239.2MiB allocated; 126ms collecting garbage

Samples

491.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 159.0ms

ival-mult!: 157.0ms (98.9% of total)

adjust: 2.0ms (1.3% of total)

Bogosity

preprocess158.0ms (1.6%)

Memory

-26.0MiB live, 19.3MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	21	15
2	50	15
3	71	15
4	91	15
5	138	15
6	263	15
7	1178	15
8	4341	15

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.f64 (.f64 x #s(literal 3 binary64)) x)

Symmetry

(abs x)

Compiler

Compiled 8 to 8 computations (0% saved)

series192.0ms (2%)

Memory

40.3MiB live, 40.3MiB allocated; 0ms collecting garbage

Counts

4 → 3

Calls

Call 1

Inputs
(.f64 (.f64 x #s(literal 3 binary64)) x)
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)

Outputs
#s(approx (* (* x 3) x) (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* x 3) (*.f64 #s(literal 3 binary64) x))
#s(approx x x)

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((* (* x 3) x) (* x 3) x 3)
1.0ms	x	@	inf	((* (* x 3) x) (* x 3) x 3)
1.0ms	x	@	0	((* (* x 3) x) (* x 3) x 3)

rewrite4.4s (45%)

Memory

-2.4MiB live, 2 087.5MiB allocated; 702ms collecting garbage

Counts

4 → 22

Calls

Call 1

Inputs
(.f64 (.f64 x #s(literal 3 binary64)) x)
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)

Outputs
(.f64 (.f64 x #s(literal 3 binary64)) x)
(.f64 (.f64 x x) #s(literal 3 binary64))
(.f64 #s(literal 3 binary64) (.f64 x x))
(.f64 x (.f64 x #s(literal 3 binary64)))
(.f64 (neg.f64 (.f64 x #s(literal 3 binary64))) (neg.f64 x))
(.f64 (neg.f64 (.f64 x x)) (neg.f64 #s(literal 3 binary64)))
(.f64 (neg.f64 (fabs.f64 x)) (.f64 (fabs.f64 x) (neg.f64 #s(literal 3 binary64))))
(.f64 (.f64 (fabs.f64 x) #s(literal 3 binary64)) (fabs.f64 x))
(.f64 (.f64 (fabs.f64 x) (neg.f64 #s(literal 3 binary64))) (neg.f64 (fabs.f64 x)))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 3 binary64)))
(.f64 (neg.f64 #s(literal 3 binary64)) (neg.f64 (.f64 x x)))
(.f64 (neg.f64 x) (neg.f64 (.f64 x #s(literal 3 binary64))))
(neg.f64 (neg.f64 (.f64 (.f64 x #s(literal 3 binary64)) x)))
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
(*.f64 (neg.f64 #s(literal 3 binary64)) (neg.f64 x))
(*.f64 (neg.f64 x) (neg.f64 #s(literal 3 binary64)))
(neg.f64 (neg.f64 (*.f64 x #s(literal 3 binary64))))
x
(neg.f64 (neg.f64 x))
#s(literal 3 binary64)
(neg.f64 (neg.f64 #s(literal 3 binary64)))

eval3.0ms (0%)

Memory: 1.7MiB live, 1.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 87 to 52 computations (40.2% saved)

prune2.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	20	1	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	2	22

Accuracy

99.9%

Counts

22 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.f64 (.f64 x x) #s(literal 3 binary64))
✓	99.8%	(.f64 (.f64 x #s(literal 3 binary64)) x)

Compiler

Compiled 8 to 8 computations (0% saved)

series255.0ms (2.6%)

Memory

24.5MiB live, 24.5MiB allocated; 0ms collecting garbage

Counts

4 → 3

Calls

Call 1

Inputs
(.f64 (.f64 x x) #s(literal 3 binary64))
(*.f64 x x)
x
#s(literal 3 binary64)

Outputs
#s(approx (* (* x x) 3) (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx x x)

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((* (* x x) 3) (* x x) x 3)
1.0ms	x	@	-inf	((* (* x x) 3) (* x x) x 3)
1.0ms	x	@	0	((* (* x x) 3) (* x x) x 3)

rewrite3.8s (38.8%)

Memory

1.4MiB live, 575.2MiB allocated; 131ms collecting garbage

Counts

4 → 40

Calls

Call 1

Inputs
(.f64 (.f64 x x) #s(literal 3 binary64))
(*.f64 x x)
x
#s(literal 3 binary64)

Outputs
(.f64 (.f64 x x) #s(literal 3 binary64))
(.f64 (.f64 x #s(literal 3 binary64)) x)
(.f64 #s(literal 3 binary64) (.f64 x x))
(.f64 x (.f64 x #s(literal 3 binary64)))
(.f64 (neg.f64 (.f64 x #s(literal 3 binary64))) (neg.f64 x))
(.f64 (neg.f64 (.f64 x x)) (neg.f64 #s(literal 3 binary64)))
(.f64 (neg.f64 (fabs.f64 x)) (.f64 (fabs.f64 x) (neg.f64 #s(literal 3 binary64))))
(.f64 (.f64 (fabs.f64 x) #s(literal 3 binary64)) (fabs.f64 x))
(.f64 (.f64 (fabs.f64 x) (neg.f64 #s(literal 3 binary64))) (neg.f64 (fabs.f64 x)))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 3 binary64)))
(.f64 (neg.f64 #s(literal 3 binary64)) (neg.f64 (.f64 x x)))
(.f64 (neg.f64 x) (neg.f64 (.f64 x #s(literal 3 binary64))))
(neg.f64 (neg.f64 (.f64 (.f64 x x) #s(literal 3 binary64))))
(*.f64 x x)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(fabs.f64 (*.f64 x x))
(fabs.f64 (neg.f64 (*.f64 x x)))
(fabs.f64 (*.f64 (fabs.f64 x) (neg.f64 x)))
(fabs.f64 (*.f64 (fabs.f64 x) x))
(neg.f64 (neg.f64 (*.f64 x x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 (.f64 x x) (.f64 (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(pow.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
(pow.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(pow.f64 (.f64 (.f64 x x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(pow.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (.f64 x x) (.f64 (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64)))
(pow.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)))))
(sqrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
x
(neg.f64 (neg.f64 x))
#s(literal 3 binary64)
(neg.f64 (neg.f64 #s(literal 3 binary64)))

eval4.0ms (0%)

Memory: 3.3MiB live, 3.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 192 to 101 computations (47.4% saved)

prune2.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	38	2	40

Accuracy

99.9%

Counts

40 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(.f64 (.f64 x x) #s(literal 3 binary64))
✓	99.8%	(.f64 (.f64 x #s(literal 3 binary64)) x)

Compiler

Compiled 14 to 14 computations (0% saved)

regimes7.0ms (0.1%)

Memory

-50.1MiB live, 3.3MiB allocated; 6ms collecting garbage

Accuracy

Total -0.1b remaining (-77.1%)

Threshold costs -0.1b (-77.1%)

Counts

2 → 1

Calls

Call 1

Inputs
(.f64 (.f64 x #s(literal 3 binary64)) x)
(.f64 (.f64 x x) #s(literal 3 binary64))

Outputs
(.f64 (.f64 x #s(literal 3 binary64)) x)

Calls

2 calls:

5.0ms	(.f64 (.f64 x #s(literal 3 binary64)) x)
2.0ms	x

Results

Accuracy	Segments	Branch
99.8%	1	`(.f64 (.f64 x #s(literal 3 binary64)) x)`
99.8%	1	`x`

Compiler

Compiled 5 to 5 computations (0% saved)

derivations0.0ms (0%)

Memory

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

Stop Event

1×

done

Compiler

Compiled 4 to 4 computations (0% saved)

preprocess9.0ms (0.1%)

Memory: 5.7MiB live, 5.7MiB allocated; 0ms collecting garbage
Remove: (abs x)
Compiler: Compiled 16 to 16 computations (0% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample941.0ms (9.7%)

preprocess158.0ms (1.6%)

series192.0ms (2%)

rewrite4.4s (45%)

eval3.0ms (0%)

prune2.0ms (0%)

series255.0ms (2.6%)

rewrite3.8s (38.8%)

eval4.0ms (0%)

prune2.0ms (0%)

regimes7.0ms (0.1%)

derivations0.0ms (0%)

preprocess9.0ms (0.1%)

end0.0ms (0%)

Profiling