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

0.4MiB live, 0.4MiB 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)

sample1.2s (76.3%)

Memory

10.5MiB live, 581.2MiB allocated; 172ms collecting garbage

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 145.0ms

ival-mult!: 144.0ms (99.1% of total)

adjust: 1.0ms (0.7% of total)

Bogosity

preprocess154.0ms (9.5%)

Memory

-22.6MiB live, 62.7MiB allocated; 21ms 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
▶	99.7%	(.f64 (.f64 x #s(literal 3 binary64)) x)

Symmetry

(abs x)

Compiler

Compiled 10 to 8 computations (20% saved)

series6.0ms (0.3%)

Memory

13.3MiB live, 13.3MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	21

Stop Event

1×	iter-limit

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
1.0ms	x	-inf
1.0ms	x	inf
1.0ms	x	0

rewrite48.0ms (3%)

Memory

-5.4MiB live, 50.5MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	10
1	9	10
2	12	10
3	18	10
4	49	10
0	164	10

Stop Event

1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

4 → 18

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

eval2.0ms (0.1%)

Memory: 3.6MiB live, 3.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 128 to 42 computations (67.2% saved)

prune1.0ms (0.1%)

Memory

3.1MiB live, 3.1MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	17	1	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	2	19

Accuracy

99.9%

Counts

19 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(.f64 (.f64 x x) #s(literal 3 binary64))
✓	99.7%	(.f64 (.f64 x #s(literal 3 binary64)) x)

Compiler

Compiled 10 to 8 computations (20% saved)

series3.0ms (0.2%)

Memory

6.0MiB live, 6.0MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21

Stop Event

1×	iter-limit

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
1.0ms	x	-inf
1.0ms	x	inf
0.0ms	x	0

rewrite30.0ms (1.9%)

Memory

-6.1MiB live, 37.3MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	10
1	15	10
2	49	10
0	168	10

Stop Event

1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

4 → 42

Calls

Call 1

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

Outputs
(.f64 (.f64 #s(literal 3 binary64) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)))
(.f64 (.f64 (fabs.f64 x) #s(literal 3 binary64)) (fabs.f64 x))
(.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)) (neg.f64 x))
(.f64 (neg.f64 (fabs.f64 x)) (.f64 (neg.f64 (fabs.f64 x)) #s(literal 3 binary64)))
(.f64 (.f64 #s(literal 3 binary64) x) x)
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 3 binary64)))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 3 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 3 binary64))
(.f64 x (.f64 #s(literal 3 binary64) x))
(neg.f64 (.f64 x (.f64 (neg.f64 x) #s(literal 3 binary64))))
(neg.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal 3 binary64)))
(neg.f64 (.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)) x))
(neg.f64 (.f64 #s(literal 3 binary64) (.f64 (neg.f64 x) x)))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 x))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (fabs.f64 x) (neg.f64 (fabs.f64 x))))
(neg.f64 (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
x
#s(literal 3 binary64)

eval4.0ms (0.2%)

Memory: 11.4MiB live, 11.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 323 to 106 computations (67.2% saved)

prune2.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	40	1	41
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	40	3	43

Accuracy

99.9%

Counts

43 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(.f64 (.f64 x x) #s(literal 3 binary64))
✓	99.7%	(.f64 (.f64 x #s(literal 3 binary64)) x)
▶	95.0%	(.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))

Compiler

Compiled 17 to 15 computations (11.8% saved)

series47.0ms (2.9%)

Memory

14.1MiB live, 103.6MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	59

Stop Event

1×	iter-limit

Counts

7 → 7

Calls

Call 1

Inputs
(.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (log.f64 x) #s(literal 2 binary64))
(log.f64 x)
x
#s(literal 2 binary64)
#s(literal 3 binary64)

Outputs
#s(approx (* (exp (* (log x) 2)) 3) (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (exp (* (log x) 2)) (pow.f64 x #s(literal 2 binary64)))
#s(approx (* (log x) 2) (*.f64 #s(literal 2 binary64) (log.f64 x)))
#s(approx (log x) (log.f64 x))
#s(approx x x)
#s(approx (* (log x) 2) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (log x) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))

Calls

3 calls:

Time	Variable	Point
27.0ms	x	0
11.0ms	x	inf
7.0ms	x	-inf

rewrite58.0ms (3.6%)

Memory

-17.6MiB live, 44.6MiB allocated; 57ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	21
0	11	17
1	23	17
0	109	17

Stop Event

1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

7 → 37

Calls

Call 1

Inputs
(.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (log.f64 x) #s(literal 2 binary64))
(log.f64 x)
x
#s(literal 2 binary64)
#s(literal 3 binary64)

Outputs
(.f64 (.f64 #s(literal 3 binary64) x) x)
(.f64 x (.f64 x #s(literal 3 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 3 binary64))
(fma.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 3 binary64) (.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 3 binary64)))
(fma.f64 #s(literal 3 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) (.f64 #s(literal 3 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))))
(+.f64 (.f64 #s(literal 3 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x)))) (.f64 #s(literal 3 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) (log.f64 x)))))
(+.f64 (.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 3 binary64)) (.f64 (sinh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 3 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))))) (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) x)
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x)))) (.f64 (sinh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) (sinh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))))) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) (sinh.f64 (.f64 #s(literal 2 binary64) (log.f64 x)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) (-.f64 (.f64 (sinh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) (sinh.f64 (.f64 #s(literal 2 binary64) (log.f64 x)))) (.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) (sinh.f64 (.f64 #s(literal 2 binary64) (log.f64 x)))))))
(fma.f64 #s(literal 2 binary64) (.f64 (sinh.f64 (log.f64 x)) (cosh.f64 (log.f64 x))) (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))))
(sqrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
(-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) (neg.f64 (sinh.f64 (.f64 #s(literal 2 binary64) (log.f64 x)))))
(fabs.f64 (neg.f64 (*.f64 x x)))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(+.f64 (sinh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))))
(+.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) (sinh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))))
(*.f64 #s(literal 2 binary64) (log.f64 x))
(*.f64 (log.f64 x) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (log.f64 x) (*.f64 #s(literal 1 binary64) (log.f64 x)))
(fma.f64 (log.f64 x) #s(literal 1 binary64) (*.f64 (log.f64 x) #s(literal 1 binary64)))
(+.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) (.f64 (log.f64 x) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (log.f64 x)) (.f64 #s(literal 1 binary64) (log.f64 x)))
(+.f64 (log.f64 x) (log.f64 x))
(log.f64 (*.f64 x x))
(log.f64 x)
x
#s(literal 2 binary64)
#s(literal 3 binary64)

eval8.0ms (0.5%)

Memory: -36.0MiB live, 13.0MiB allocated; 7ms collecting garbage
Compiler: Compiled 455 to 130 computations (71.4% saved)

prune2.0ms (0.1%)

Memory

5.4MiB live, 5.4MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	37	0	37
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	37	3	40

Accuracy

99.9%

Counts

40 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(.f64 (.f64 x x) #s(literal 3 binary64))
✓	99.7%	(.f64 (.f64 x #s(literal 3 binary64)) x)
✓	95.0%	(.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))

Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes5.0ms (0.3%)

Memory

17.4MiB live, 17.4MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

3 → 1

Calls

Call 1

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

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

Call 2

Inputs
(.f64 (.f64 x #s(literal 3 binary64)) x)
(.f64 (.f64 x x) #s(literal 3 binary64))
(.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))

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

Calls

4 calls:

1.0ms	x
1.0ms	(.f64 (.f64 x #s(literal 3 binary64)) x)
1.0ms	x
1.0ms	(.f64 (.f64 x #s(literal 3 binary64)) x)

Results

Accuracy	Segments	Branch
99.7%	1	`(.f64 (.f64 x #s(literal 3 binary64)) x)`
99.7%	1	`x`
99.7%	1	`(.f64 (.f64 x #s(literal 3 binary64)) x)`
99.7%	1	`x`

Compiler

Compiled 29 to 21 computations (27.6% saved)

derivations1.0ms (0.1%)

Memory

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

Stop Event

1×

done

Compiler

Compiled 10 to 6 computations (40% saved)

preprocess13.0ms (0.8%)

Memory: -22.0MiB live, 24.1MiB allocated; 3ms collecting garbage
Remove: (abs x)
Compiler: Compiled 35 to 26 computations (25.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (76.3%)

preprocess154.0ms (9.5%)

series6.0ms (0.3%)

rewrite48.0ms (3%)

eval2.0ms (0.1%)

prune1.0ms (0.1%)

series3.0ms (0.2%)

rewrite30.0ms (1.9%)

eval4.0ms (0.2%)

prune2.0ms (0.1%)

series47.0ms (2.9%)

rewrite58.0ms (3.6%)

eval8.0ms (0.5%)

prune2.0ms (0.1%)

regimes5.0ms (0.3%)

derivations1.0ms (0.1%)

preprocess13.0ms (0.8%)

end0.0ms (0%)

Profiling