Metrics for Expression 2, p15

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25%	75%	0%	0%	0%	0
100%	25%	0%	75%	0%	0%	0%	1

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample446.0ms (63.1%)

Memory

-25.5MiB live, 585.6MiB allocated; 136ms collecting garbage

Samples

257.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-mult!: 57.0ms (75.5% of total)

ival-add!: 18.0ms (23.8% of total)

adjust: 1.0ms (1.3% of total)

Bogosity

preprocess64.0ms (9.1%)

Memory

-3.3MiB live, 43.6MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	18
1	37	15
2	123	15
3	193	15
4	448	15
5	3158	15

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 x (*.f64 x x))

Compiler

Compiled 10 to 6 computations (40% saved)

series5.0ms (0.7%)

Memory

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	40

Stop Event

1×	iter-limit

Counts

3 → 4

Calls

Call 1

Inputs
(+.f64 x (*.f64 x x))
x
(*.f64 x x)

Outputs
#s(approx (+ x (* x x)) x)
#s(approx (+ x (* x x)) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (+ x (* x x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))

Calls

3 calls:

Time	Variable	Point
1.0ms	x	-inf
1.0ms	x	inf
0.0ms	x	0

rewrite52.0ms (7.3%)

Memory

10.5MiB live, 65.3MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	9
0	5	9
1	34	9
0	310	8

Stop Event

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

Counts

3 → 46

Calls

Call 1

Inputs
(+.f64 x (*.f64 x x))
x
(*.f64 x x)

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

eval4.0ms (0.6%)

Memory: 12.6MiB live, 12.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 592 to 119 computations (79.9% saved)

prune2.0ms (0.2%)

Memory

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

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	45	2	47
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	2	48

Accuracy

100.0%

Counts

48 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x x x)
▶	98.6%	#s(approx (+ x (* x x)) x)

Compiler

Compiled 11 to 6 computations (45.5% saved)

series2.0ms (0.3%)

Memory

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	42

Stop Event

1×	iter-limit

Counts

3 → 4

Calls

Call 1

Inputs
#s(approx (+ x (* x x)) x)
x
(fma.f64 x x x)

Outputs
#s(approx (+ x (* x x)) x)
#s(approx (+ x (* x x)) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
#s(approx (+ x (* x x)) (pow.f64 x #s(literal 2 binary64)))
#s(approx (+ x (* x x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))

Calls

3 calls:

Time	Variable	Point
0.0ms	x	-inf
0.0ms	x	inf
0.0ms	x	0

rewrite81.0ms (11.4%)

Memory

-34.0MiB live, 56.4MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	12
0	6	11
1	46	11
0	454	11

Stop Event

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

Counts

3 → 55

Calls

Call 1

Inputs
#s(approx (+ x (* x x)) x)
x
(fma.f64 x x x)

Outputs
#s(approx (+ x (* x x)) x)
x
(.f64 (.f64 (+.f64 (/.f64 x (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (+.f64 (/.f64 x (*.f64 x x)) #s(literal 1 binary64)) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (+.f64 (/.f64 x (*.f64 x x)) #s(literal 1 binary64)) x) x)
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (.f64 x x))) (*.f64 x x))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 x) x) x)) x)
(*.f64 (-.f64 x #s(literal -1 binary64)) x)
(*.f64 (fma.f64 x (/.f64 x x) #s(literal 1 binary64)) x)
(.f64 (+.f64 (/.f64 x (.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))
(.f64 (.f64 (fma.f64 x x x) (-.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 x x))))
(.f64 (.f64 (-.f64 (.f64 x x) x) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) x)))
(.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) x) (.f64 x x))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) x (.f64 x (-.f64 x (*.f64 x x))))))
(.f64 (.f64 x x) (+.f64 (/.f64 x (*.f64 x x)) #s(literal 1 binary64)))
(*.f64 x (-.f64 x #s(literal -1 binary64)))
(*.f64 x (fma.f64 x (/.f64 x x) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x x) x) x (fma.f64 x x (.f64 (*.f64 x x) (neg.f64 x)))))
(/.f64 (-.f64 (.f64 (.f64 x x) x) (pow.f64 (.f64 (neg.f64 x) x) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (.f64 (.f64 x x) x) x (.f64 x (*.f64 (neg.f64 x) x)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 x x) x) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 (.f64 (.f64 x x) x) x (.f64 x (-.f64 x (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 x x)) (.f64 (fma.f64 x x x) (-.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x x) x) (.f64 (-.f64 (*.f64 x x) x) (fma.f64 x x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 x x) x) (.f64 x x)) (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) (.f64 (*.f64 x x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 x x) x) x (.f64 x (-.f64 x (.f64 x x)))) (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) (.f64 (.f64 x x) x))))
(/.f64 (.f64 (fma.f64 x x x) (-.f64 x (.f64 x x))) (-.f64 x (*.f64 x x)))
(/.f64 (.f64 (-.f64 (.f64 x x) x) (fma.f64 x x x)) (-.f64 (*.f64 x x) x))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) (.f64 (.f64 x x) x)) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) x) (*.f64 x x)))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 x x) x) x (.f64 x (-.f64 x (.f64 x x)))))
(neg.f64 (-.f64 (*.f64 (neg.f64 x) x) x))
(neg.f64 (-.f64 (neg.f64 x) (*.f64 x x)))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (neg.f64 (neg.f64 x)))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) x)
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (neg.f64 (neg.f64 x)))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) x)
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (neg.f64 (neg.f64 x)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) x)
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) x)
(fma.f64 (fabs.f64 x) (fabs.f64 x) (neg.f64 (neg.f64 x)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) x)
(fma.f64 (neg.f64 x) (neg.f64 x) (neg.f64 (neg.f64 x)))
(fma.f64 (neg.f64 x) (neg.f64 x) x)
(fma.f64 x x (neg.f64 (neg.f64 x)))
(fma.f64 x x x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 x x))) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (-.f64 x (.f64 x x))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (-.f64 (.f64 x x) x)) (/.f64 (.f64 x x) (-.f64 (.f64 x x) x)))
(-.f64 (*.f64 x x) (neg.f64 x))
(-.f64 x (*.f64 (neg.f64 x) x))
(+.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) x) (.f64 x x))) (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) x) (*.f64 x x))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (fma.f64 (.f64 (.f64 x x) x) x (.f64 x (-.f64 x (.f64 x x))))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 (.f64 x x) x) x (.f64 x (-.f64 x (*.f64 x x))))))
(+.f64 (*.f64 x x) (neg.f64 (neg.f64 x)))
(+.f64 (*.f64 x x) x)
(+.f64 x (*.f64 (neg.f64 (neg.f64 x)) x))
(+.f64 x (*.f64 x x))

eval5.0ms (0.7%)

Memory: 15.4MiB live, 15.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 852 to 132 computations (84.5% saved)

prune2.0ms (0.3%)

Memory

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

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	55	2	57

Accuracy

100.0%

Counts

57 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x x x)
✓	98.6%	#s(approx (+ x (* x x)) x)

Compiler

Compiled 11 to 6 computations (45.5% saved)

regimes6.0ms (0.8%)

Memory

13.9MiB live, 13.9MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

3 → 1

Calls

Call 1

Inputs
#s(approx (+ x (* x x)) x)

Outputs
#s(approx (+ x (* x x)) x)

Call 2

Inputs
#s(approx (+ x (* x x)) x)
(fma.f64 x x x)
(+.f64 x (*.f64 x x))

Outputs
(fma.f64 x x x)

Calls

4 calls:

1.0ms	x
1.0ms	(+.f64 x (*.f64 x x))
1.0ms	(+.f64 x (*.f64 x x))
1.0ms	x

Results

Accuracy	Segments	Branch
98.6%	1	`(+.f64 x (*.f64 x x))`
98.6%	1	`x`
100.0%	1	`(+.f64 x (*.f64 x x))`
100.0%	1	`x`

Compiler

Compiled 28 to 15 computations (46.4% saved)

derivations2.0ms (0.3%)

Memory

2.6MiB live, 2.6MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 11 to 5 computations (54.5% saved)

preprocess37.0ms (5.2%)

Memory: -4.9MiB live, 42.6MiB allocated; 3ms collecting garbage
Compiler: Compiled 21 to 12 computations (42.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample446.0ms (63.1%)

preprocess64.0ms (9.1%)

series5.0ms (0.7%)

rewrite52.0ms (7.3%)

eval4.0ms (0.6%)

prune2.0ms (0.2%)

series2.0ms (0.3%)

rewrite81.0ms (11.4%)

eval5.0ms (0.7%)

prune2.0ms (0.3%)

regimes6.0ms (0.8%)

derivations2.0ms (0.3%)

preprocess37.0ms (5.2%)

end0.0ms (0%)

Profiling