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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

1.3MiB live, 1.3MiB 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 15 to 12 computations (20% saved)

sample864.0ms (59.2%)

Memory

18.2MiB live, 1 004.5MiB allocated; 169ms collecting garbage

Samples

502.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 311.0ms

ival-mult!: 262.0ms (84.1% of total)

ival-add!: 25.0ms (8% of total)

ival-sub!: 23.0ms (7.4% of total)

adjust: 1.0ms (0.3% of total)

Bogosity

preprocess41.0ms (2.8%)

Memory

-4.3MiB live, 40.6MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	43
1	72	35
2	284	33
3	1191	33

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))

Compiler

Compiled 22 to 20 computations (9.1% saved)

series6.0ms (0.4%)

Memory

18.0MiB live, 18.0MiB allocated; 0ms collecting garbage

Counts

10 → 19

Calls

Call 1

Inputs
(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
#s(literal 3 binary64)
(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
(.f64 (.f64 x #s(literal 3 binary64)) x)
(*.f64 x #s(literal 3 binary64))
x
(*.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1 binary64)

Outputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(hole binary64 3))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(hole binary64 (+ 3 (* -12 x))))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(hole binary64 (+ 3 (* x (- (* 9 x) 12)))))
#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) #s(hole binary64 1))
#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) #s(hole binary64 (+ 1 (* -4 x))))
#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) #s(hole binary64 (+ 1 (* x (- (* 3 x) 4)))))
#s(approx (- (* (* x 3) x) (* x 4)) #s(hole binary64 (* -4 x)))
#s(approx (- (* (* x 3) x) (* x 4)) #s(hole binary64 (* x (- (* 3 x) 4))))
#s(approx (* (* x 3) x) #s(hole binary64 (* 3 (pow x 2))))
#s(approx (* x 3) #s(hole binary64 (* 3 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* x 4) #s(hole binary64 (* 4 x)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(hole binary64 (* 9 (pow x 2))))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(hole binary64 (* (pow x 2) (- 9 (* 12 (/ 1 x))))))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(hole binary64 (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))))
#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) #s(hole binary64 (* (pow x 2) (- 3 (* 4 (/ 1 x))))))
#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) #s(hole binary64 (* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x))))))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(hole binary64 (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))))
#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) #s(hole binary64 (* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x))))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) 3 (+ (- (* (* x 3) x) (* x 4)) 1) (- (* (* x 3) x) (* x 4)) (* (* x 3) x) (* x 3) x (* x 4) 4 1)
2.0ms	x	@	inf	((* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) 3 (+ (- (* (* x 3) x) (* x 4)) 1) (- (* (* x 3) x) (* x 4)) (* (* x 3) x) (* x 3) x (* x 4) 4 1)
1.0ms	x	@	0	((* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) 3 (+ (- (* (* x 3) x) (* x 4)) 1) (- (* (* x 3) x) (* x 4)) (* (* x 3) x) (* x 3) x (* x 4) 4 1)

Time

Variable

Point

Expression

2.0ms

-inf

((* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) 3 (+ (- (* (* x 3) x) (* x 4)) 1) (- (* (* x 3) x) (* x 4)) (* (* x 3) x) (* x 3) x (* x 4) 4 1)

2.0ms

inf

((* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) 3 (+ (- (* (* x 3) x) (* x 4)) 1) (- (* (* x 3) x) (* x 4)) (* (* x 3) x) (* x 3) x (* x 4) 4 1)

1.0ms

((* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) 3 (+ (- (* (* x 3) x) (* x 4)) 1) (- (* (* x 3) x) (* x 4)) (* (* x 3) x) (* x 3) x (* x 4) 4 1)

rewrite187.0ms (12.8%)

Memory

22.5MiB live, 169.9MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	83	399
0	92	385
1	510	345
2	3379	345

Stop Event

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

Counts

29 → 18

Calls

Call 1

Inputs
(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
#s(literal 3 binary64)
(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
(.f64 (.f64 x #s(literal 3 binary64)) x)
(*.f64 x #s(literal 3 binary64))
x
(*.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1 binary64)
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(hole binary64 3))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(hole binary64 (+ 3 (* -12 x))))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(hole binary64 (+ 3 (* x (- (* 9 x) 12)))))
#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) #s(hole binary64 1))
#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) #s(hole binary64 (+ 1 (* -4 x))))
#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) #s(hole binary64 (+ 1 (* x (- (* 3 x) 4)))))
#s(approx (- (* (* x 3) x) (* x 4)) #s(hole binary64 (* -4 x)))
#s(approx (- (* (* x 3) x) (* x 4)) #s(hole binary64 (* x (- (* 3 x) 4))))
#s(approx (* (* x 3) x) #s(hole binary64 (* 3 (pow x 2))))
#s(approx (* x 3) #s(hole binary64 (* 3 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* x 4) #s(hole binary64 (* 4 x)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(hole binary64 (* 9 (pow x 2))))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(hole binary64 (* (pow x 2) (- 9 (* 12 (/ 1 x))))))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(hole binary64 (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))))
#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) #s(hole binary64 (* (pow x 2) (- 3 (* 4 (/ 1 x))))))
#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) #s(hole binary64 (* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x))))))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(hole binary64 (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))))
#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) #s(hole binary64 (* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x))))))

Outputs
(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
#s(literal 3 binary64)
(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
(.f64 (.f64 x #s(literal 3 binary64)) x)
(*.f64 x #s(literal 3 binary64))
x
(*.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1 binary64)
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))
#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) #s(literal 1 binary64))
#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
#s(approx (- (* (* x 3) x) (* x 4)) (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))))
#s(approx (* (* x 3) x) (.f64 (.f64 x #s(literal 3 binary64)) x))
#s(approx (* x 3) (*.f64 x #s(literal 3 binary64)))
#s(approx x x)
#s(approx (* x 4) (*.f64 x #s(literal 4 binary64)))

eval1.0ms (0.1%)

Memory: 1.5MiB live, 1.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 78 to 46 computations (41% saved)

prune24.0ms (1.7%)

Memory

-43.4MiB live, 2.0MiB allocated; 5ms collecting garbage

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	7	1	8
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	7	2	9

Accuracy

99.8%

Counts

9 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
▶	49.9%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Status

Accuracy

Program

✓

99.8%

(*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))

▶

49.9%

#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Compiler

Compiled 23 to 22 computations (4.3% saved)

series1.0ms (0.1%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Counts

2 → 7

Calls

Call 1

Inputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))
#s(literal 3 binary64)

Outputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(hole binary64 3))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(hole binary64 (+ 3 (* -12 x))))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(hole binary64 (+ 3 (* x (- (* 9 x) 12)))))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(hole binary64 (* 9 (pow x 2))))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(hole binary64 (* (pow x 2) (- 9 (* 12 (/ 1 x))))))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(hole binary64 (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(hole binary64 (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))))

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	((* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) 3)
0.0ms	x	@	-inf	((* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) 3)
0.0ms	x	@	0	((* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) 3)

rewrite246.0ms (16.9%)

Memory

17.3MiB live, 206.8MiB allocated; 45ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	179
0	44	173
1	296	153
2	1998	153

Stop Event

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

Counts

9 → 3

Calls

Call 1

Inputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(hole binary64 3))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(hole binary64 (+ 3 (* -12 x))))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(hole binary64 (+ 3 (* x (- (* 9 x) 12)))))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(hole binary64 (* 9 (pow x 2))))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(hole binary64 (* (pow x 2) (- 9 (* 12 (/ 1 x))))))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(hole binary64 (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(hole binary64 (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))))

Outputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0.1%)

Memory

3.4MiB live, 3.4MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	1	1
Total	2	2

Accuracy

99.8%

Counts

2 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
✓	49.9%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Status

Accuracy

Program

✓

99.8%

(*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))

✓

49.9%

#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Compiler

Compiled 44 to 42 computations (4.5% saved)

regimes5.0ms (0.3%)

Memory

12.5MiB live, 12.5MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

(*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))

Outputs
(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))

Calls

4 calls:

1.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
1.0ms	x
1.0ms	(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
1.0ms	(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
99.8%	1	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))`
99.8%	1	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
99.8%	1	`(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))`
99.8%	1	`x`

Compiler

Compiled 28 to 27 computations (3.6% saved)

regimes4.0ms (0.3%)

Memory

11.8MiB live, 11.8MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Outputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Calls

4 calls:

1.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
1.0ms	x
1.0ms	(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
1.0ms	(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
49.9%	1	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))`
49.9%	1	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
49.9%	1	`(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))`
49.9%	1	`x`

Compiler

Compiled 28 to 27 computations (3.6% saved)

derivations50.0ms (3.4%)

Memory

-15.7MiB live, 33.3MiB allocated; 13ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 21 to 20 computations (4.8% saved)

preprocess30.0ms (2.1%)

Memory: -8.4MiB live, 37.0MiB allocated; 6ms collecting garbage
Compiler: Compiled 32 to 30 computations (6.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample864.0ms (59.2%)

preprocess41.0ms (2.8%)

series6.0ms (0.4%)

rewrite187.0ms (12.8%)

eval1.0ms (0.1%)

prune24.0ms (1.7%)

series1.0ms (0.1%)

rewrite246.0ms (16.9%)

eval0.0ms (0%)

prune1.0ms (0.1%)

regimes5.0ms (0.3%)

regimes4.0ms (0.3%)

derivations50.0ms (3.4%)

preprocess30.0ms (2.1%)

end0.0ms (0%)

Profiling