Metrics for ENA, Section 1.4, Exercise 1

start0.0ms (0%)

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

analyze4.0ms (0.2%)

Memory

6.6MiB live, 6.6MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
0%	0%	0%	100%	0%	0%	0%	1
0%	0%	0%	100%	0%	0%	0%	2
50%	0%	0%	100%	0%	0%	0%	3
75%	0%	0%	100%	0%	0%	0%	4
87.5%	0%	0%	100%	0%	0%	0%	5
93.8%	0%	0%	100%	0%	0%	0%	6
96.9%	0%	0%	100%	0%	0%	0%	7
98.4%	0%	0%	100%	0%	0%	0%	8
99.2%	0%	0%	100%	0%	0%	0%	9
99.6%	0%	0%	100%	0%	0%	0%	10
99.8%	0%	0%	100%	0%	0%	0%	11
99.9%	0%	0%	100%	0%	0%	0%	12

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample1.4s (68.8%)

Memory

32.3MiB live, 1 451.2MiB allocated; 328ms collecting garbage

Samples

1.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 758.0ms

ival-cos: 440.0ms (58.1% of total)

ival-mult!: 224.0ms (29.6% of total)

ival-exp: 92.0ms (12.1% of total)

adjust: 2.0ms (0.3% of total)

ival-and: 0.0ms (0% of total)

ival-<=: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

Bogosity

preprocess92.0ms (4.6%)

Memory

-45.0MiB live, 54.1MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	28
1	61	28
2	209	28
3	806	28
4	6855	28

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.5%	(.f64 (cos.f64 x) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))

Symmetry

(abs x)

Compiler

Compiled 14 to 14 computations (0% saved)

series4.0ms (0.2%)

Memory

8.2MiB live, 8.2MiB allocated; 0ms collecting garbage

Counts

7 → 16

Calls

Call 1

Inputs
(.f64 (cos.f64 x) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))
(cos.f64 x)
x
(exp.f64 (.f64 #s(literal 10 binary64) (.f64 x x)))
(.f64 #s(literal 10 binary64) (.f64 x x))
#s(literal 10 binary64)
(*.f64 x x)

Outputs
#s(approx (* (cos x) (exp (* 10 (* x x)))) #s(hole binary64 1))
#s(approx (* (cos x) (exp (* 10 (* x x)))) #s(hole binary64 (+ 1 (* 19/2 (pow x 2)))))
#s(approx (* (cos x) (exp (* 10 (* x x)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 19/2 (* 1081/24 (pow x 2)))))))
#s(approx (* (cos x) (exp (* 10 (* x x)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 19/2 (* (pow x 2) (+ 1081/24 (* 102299/720 (pow x 2)))))))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (exp (* 10 (* x x))) #s(hole binary64 (+ 1 (* 10 (pow x 2)))))
#s(approx (exp (* 10 (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 10 (* 50 (pow x 2)))))))
#s(approx (exp (* 10 (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 10 (* (pow x 2) (+ 50 (* 500/3 (pow x 2)))))))))
#s(approx (* 10 (* x x)) #s(hole binary64 (* 10 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (cos x) (exp (* 10 (* x x)))) #s(hole binary64 (* (cos x) (exp (* 10 (pow x 2))))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (exp (* 10 (* x x))) #s(hole binary64 (exp (* 10 (pow x 2)))))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((* (cos x) (exp (* 10 (* x x)))) (cos x) x (exp (* 10 (* x x))) (* 10 (* x x)) 10 (* x x))
1.0ms	x	@	-inf	((* (cos x) (exp (* 10 (* x x)))) (cos x) x (exp (* 10 (* x x))) (* 10 (* x x)) 10 (* x x))
1.0ms	x	@	0	((* (cos x) (exp (* 10 (* x x)))) (cos x) x (exp (* 10 (* x x))) (* 10 (* x x)) 10 (* x x))

Time

Variable

Point

Expression

1.0ms

inf

((* (cos x) (exp (* 10 (* x x)))) (cos x) x (exp (* 10 (* x x))) (* 10 (* x x)) 10 (* x x))

1.0ms

-inf

((* (cos x) (exp (* 10 (* x x)))) (cos x) x (exp (* 10 (* x x))) (* 10 (* x x)) 10 (* x x))

1.0ms

((* (cos x) (exp (* 10 (* x x)))) (cos x) x (exp (* 10 (* x x))) (* 10 (* x x)) 10 (* x x))

rewrite297.0ms (14.8%)

Memory

-11.5MiB live, 209.1MiB allocated; 107ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	273
0	86	273
1	518	273
2	3548	273

Stop Event

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

Counts

23 → 14

Calls

Call 1

Inputs
(.f64 (cos.f64 x) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))
(cos.f64 x)
x
(exp.f64 (.f64 #s(literal 10 binary64) (.f64 x x)))
(.f64 #s(literal 10 binary64) (.f64 x x))
#s(literal 10 binary64)
(*.f64 x x)
#s(approx (* (cos x) (exp (* 10 (* x x)))) #s(hole binary64 1))
#s(approx (* (cos x) (exp (* 10 (* x x)))) #s(hole binary64 (+ 1 (* 19/2 (pow x 2)))))
#s(approx (* (cos x) (exp (* 10 (* x x)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 19/2 (* 1081/24 (pow x 2)))))))
#s(approx (* (cos x) (exp (* 10 (* x x)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 19/2 (* (pow x 2) (+ 1081/24 (* 102299/720 (pow x 2)))))))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (exp (* 10 (* x x))) #s(hole binary64 (+ 1 (* 10 (pow x 2)))))
#s(approx (exp (* 10 (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 10 (* 50 (pow x 2)))))))
#s(approx (exp (* 10 (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 10 (* (pow x 2) (+ 50 (* 500/3 (pow x 2)))))))))
#s(approx (* 10 (* x x)) #s(hole binary64 (* 10 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (cos x) (exp (* 10 (* x x)))) #s(hole binary64 (* (cos x) (exp (* 10 (pow x 2))))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (exp (* 10 (* x x))) #s(hole binary64 (exp (* 10 (pow x 2)))))

Outputs
(.f64 (cos.f64 x) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))
(cos.f64 x)
x
(exp.f64 (.f64 #s(literal 10 binary64) (.f64 x x)))
(.f64 #s(literal 10 binary64) (.f64 x x))
#s(literal 10 binary64)
(*.f64 x x)
#s(approx (* (cos x) (exp (* 10 (* x x)))) #s(literal 1 binary64))
#s(approx x x)
#s(approx (* 10 (* x x)) (.f64 #s(literal 10 binary64) (.f64 x x)))
#s(approx (* x x) (*.f64 x x))
#s(approx (* (cos x) (exp (* 10 (* x x)))) (.f64 (cos.f64 x) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x)))))
#s(approx (cos x) (cos.f64 x))
#s(approx (exp (* 10 (* x x))) (exp.f64 (.f64 #s(literal 10 binary64) (.f64 x x))))

eval1.0ms (0%)

Memory: 1.7MiB live, 1.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 58 to 33 computations (43.1% saved)

prune1.0ms (0.1%)

Memory

2.4MiB live, 2.4MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	6	1	7
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	6	2	8

Accuracy

94.5%

Counts

8 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	94.5%	(.f64 (cos.f64 x) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))
▶	1.5%	#s(approx (* (cos x) (exp (* 10 (* x x)))) #s(literal 1 binary64))

Compiler

Compiled 16 to 16 computations (0% saved)

series1.0ms (0%)

Memory

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

Counts

2 → 5

Calls

Call 1

Inputs
#s(approx (* (cos x) (exp (* 10 (* x x)))) #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
#s(approx (* (cos x) (exp (* 10 (* x x)))) #s(hole binary64 1))
#s(approx (* (cos x) (exp (* 10 (* x x)))) #s(hole binary64 (+ 1 (* 19/2 (pow x 2)))))
#s(approx (* (cos x) (exp (* 10 (* x x)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 19/2 (* 1081/24 (pow x 2)))))))
#s(approx (* (cos x) (exp (* 10 (* x x)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 19/2 (* (pow x 2) (+ 1081/24 (* 102299/720 (pow x 2)))))))))
#s(approx (* (cos x) (exp (* 10 (* x x)))) #s(hole binary64 (* (cos x) (exp (* 10 (pow x 2))))))

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	((* (cos x) (exp (* 10 (* x x)))) 1)
0.0ms	x	@	-inf	((* (cos x) (exp (* 10 (* x x)))) 1)
0.0ms	x	@	0	((* (cos x) (exp (* 10 (* x x)))) 1)

rewrite131.0ms (6.5%)

Memory

7.6MiB live, 147.0MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	111
0	33	111
1	211	111
2	1417	111

Stop Event

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

Counts

7 → 3

Calls

Call 1

Inputs
#s(approx (* (cos x) (exp (* 10 (* x x)))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* (cos x) (exp (* 10 (* x x)))) #s(hole binary64 1))
#s(approx (* (cos x) (exp (* 10 (* x x)))) #s(hole binary64 (+ 1 (* 19/2 (pow x 2)))))
#s(approx (* (cos x) (exp (* 10 (* x x)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 19/2 (* 1081/24 (pow x 2)))))))
#s(approx (* (cos x) (exp (* 10 (* x x)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 19/2 (* (pow x 2) (+ 1081/24 (* 102299/720 (pow x 2)))))))))
#s(approx (* (cos x) (exp (* 10 (* x x)))) #s(hole binary64 (* (cos x) (exp (* 10 (pow x 2))))))

Outputs
#s(approx (* (cos x) (exp (* 10 (* x x)))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* (cos x) (exp (* 10 (* x x)))) #s(literal 1 binary64))

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0.1%)

Memory

1.8MiB live, 1.8MiB 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

94.5%

Counts

2 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	94.5%	(.f64 (cos.f64 x) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))
✓	1.5%	#s(approx (* (cos x) (exp (* 10 (* x x)))) #s(literal 1 binary64))

Compiler

Compiled 31 to 31 computations (0% saved)

regimes3.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (* (cos x) (exp (* 10 (* x x)))) #s(literal 1 binary64))
(.f64 (cos.f64 x) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))

Outputs
(.f64 (cos.f64 x) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))

Calls

2 calls:

1.0ms	(.f64 (cos.f64 x) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))
1.0ms	x

Results

Accuracy	Segments	Branch
94.5%	1	`(.f64 (cos.f64 x) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))`
94.5%	1	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes28.0ms (1.4%)

Memory

-24.7MiB live, 32.8MiB allocated; 10ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (* (cos x) (exp (* 10 (* x x)))) #s(literal 1 binary64))

Outputs
#s(approx (* (cos x) (exp (* 10 (* x x)))) #s(literal 1 binary64))

Calls

2 calls:

26.0ms	x
1.0ms	(.f64 (cos.f64 x) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))

Results

Accuracy	Segments	Branch
1.5%	1	`x`
1.5%	1	`(.f64 (cos.f64 x) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))`

Compiler

Compiled 8 to 8 computations (0% saved)

derivations10.0ms (0.5%)

Memory

10.0MiB live, 10.0MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 15 to 15 computations (0% saved)

preprocess54.0ms (2.7%)

Memory: -24.3MiB live, 21.8MiB allocated; 3ms collecting garbage
Remove: (abs x)
Compiler: Compiled 54 to 54 computations (0% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze4.0ms (0.2%)

sample1.4s (68.8%)

preprocess92.0ms (4.6%)

series4.0ms (0.2%)

rewrite297.0ms (14.8%)

eval1.0ms (0%)

prune1.0ms (0.1%)

series1.0ms (0%)

rewrite131.0ms (6.5%)

eval0.0ms (0%)

prune1.0ms (0.1%)

regimes3.0ms (0.1%)

regimes28.0ms (1.4%)

derivations10.0ms (0.5%)

preprocess54.0ms (2.7%)

end0.0ms (0%)

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