Metrics for Expression 2, p15

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

1.0MiB live, 1.0MiB 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 (59.4%)

Memory

-6.0MiB live, 689.4MiB allocated; 171ms collecting garbage

Samples

284.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 125.0ms

ival-mult!: 106.0ms (84.9% of total)

ival-add!: 18.0ms (14.4% of total)

adjust: 1.0ms (0.8% of total)

Bogosity

preprocess56.0ms (7.5%)

Memory

-10.0MiB live, 44.3MiB allocated; 13ms 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)

series7.0ms (0.9%)

Memory

18.1MiB live, 18.1MiB 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

rewrite84.0ms (11.2%)

Memory

-4.8MiB live, 133.7MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	9
0	5	9
1	19	9
2	59	9
3	122	9
4	323	9
5	2244	9
0	4667	8

Stop Event

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

Counts

3 → 92

Calls

Call 1

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

Outputs
(*.f64 (-.f64 #s(literal -1 binary64) x) (neg.f64 x))
(*.f64 (-.f64 x #s(literal -1 binary64)) x)
(*.f64 #s(literal 1 binary64) (fma.f64 x x x))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) x))
(*.f64 (fma.f64 x x x) #s(literal 1 binary64))
(*.f64 x (-.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 x x)) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64))
(/.f64 (*.f64 (+.f64 x x) (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) (+.f64 x x)) #s(literal 2 binary64))
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x x)) #s(literal 4 binary64))
(/.f64 (*.f64 (+.f64 x x) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal 4 binary64))
(neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) x))
(fma.f64 (-.f64 #s(literal -1 binary64) x) (neg.f64 x) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 (-.f64 #s(literal -1 binary64) x) (neg.f64 x) (*.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64))))
(fma.f64 (-.f64 #s(literal -1 binary64) x) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) x)
(fma.f64 (-.f64 x #s(literal -1 binary64)) x (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 (-.f64 x #s(literal -1 binary64)) x (*.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64))))
(fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 x x x) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x x x) (*.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 x x x) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) x)
(fma.f64 (fabs.f64 x) (fabs.f64 x) x)
(fma.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) x) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64))))
(fma.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) x)
(fma.f64 (fma.f64 x x x) #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 (fma.f64 x x x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64))))
(fma.f64 (fma.f64 x x x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) x)
(fma.f64 x (-.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 x (-.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64))))
(fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 x x x)
(-.f64 (*.f64 x x) (neg.f64 x))
(-.f64 x (*.f64 (neg.f64 x) x))
(+.f64 (fma.f64 x x x) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)))
(+.f64 (fma.f64 x x x) (*.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64))))
(+.f64 (fma.f64 x x x) #s(literal 0 binary64))
(+.f64 (*.f64 x x) x)
(+.f64 x (+.f64 #s(literal 0 binary64) (*.f64 x x)))
(+.f64 x (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)))
(+.f64 x (*.f64 x x))
x
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(pow.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 16 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 (*.f64 x x) x) x) #s(literal 1/2 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))
(/.f64 (*.f64 x (+.f64 x x)) #s(literal 2 binary64))
(/.f64 (*.f64 (+.f64 x x) x) #s(literal 2 binary64))
(/.f64 (*.f64 (+.f64 x x) (+.f64 x x)) #s(literal 4 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 (fabs.f64 x) (fabs.f64 x) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 x x #s(literal 0 binary64))
(sqrt.f64 (.f64 (.f64 (*.f64 x x) x) x))
(fabs.f64 (.f64 (.f64 (fabs.f64 x) (neg.f64 x)) #s(literal -1 binary64)))
(fabs.f64 (.f64 (.f64 (fabs.f64 x) x) #s(literal -1 binary64)))
(fabs.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64)))
(fabs.f64 (.f64 (.f64 x x) #s(literal -1 binary64)))
(fabs.f64 (.f64 #s(literal -1 binary64) (.f64 (fabs.f64 x) (neg.f64 x))))
(fabs.f64 (.f64 #s(literal -1 binary64) (.f64 (fabs.f64 x) x)))
(fabs.f64 (.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x)))
(fabs.f64 (.f64 #s(literal -1 binary64) (.f64 x x)))
(fabs.f64 (*.f64 (fabs.f64 x) (neg.f64 x)))
(fabs.f64 (*.f64 (fabs.f64 x) x))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(+.f64 (*.f64 x x) #s(literal 0 binary64))

eval8.0ms (1.1%)

Memory: 18.5MiB live, 18.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 754 to 199 computations (73.6% saved)

prune3.0ms (0.4%)

Memory

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

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	91	2	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	92	2	94

Accuracy

100.0%

Counts

94 → 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

4.6MiB live, 4.6MiB 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

rewrite97.0ms (12.9%)

Memory

-43.3MiB live, 122.9MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	12
0	6	11
1	20	11
2	62	11
3	127	11
4	328	11
5	2258	11
0	4680	11

Stop Event

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

Counts

3 → 49

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 #s(literal -1 binary64) x) (neg.f64 x))
(*.f64 (-.f64 x #s(literal -1 binary64)) x)
(*.f64 #s(literal 1 binary64) (fma.f64 x x x))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) x))
(*.f64 (fma.f64 x x x) #s(literal 1 binary64))
(*.f64 x (-.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 x x)) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64))
(/.f64 (*.f64 (+.f64 x x) (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) (+.f64 x x)) #s(literal 2 binary64))
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x x)) #s(literal 4 binary64))
(/.f64 (*.f64 (+.f64 x x) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal 4 binary64))
(neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) x))
(fma.f64 (-.f64 #s(literal -1 binary64) x) (neg.f64 x) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 (-.f64 #s(literal -1 binary64) x) (neg.f64 x) (*.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64))))
(fma.f64 (-.f64 #s(literal -1 binary64) x) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) x)
(fma.f64 (-.f64 x #s(literal -1 binary64)) x (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 (-.f64 x #s(literal -1 binary64)) x (*.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64))))
(fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 x x x) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x x x) (*.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 x x x) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) x)
(fma.f64 (fabs.f64 x) (fabs.f64 x) x)
(fma.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) x) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64))))
(fma.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) x)
(fma.f64 (fma.f64 x x x) #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 (fma.f64 x x x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64))))
(fma.f64 (fma.f64 x x x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) x)
(fma.f64 x (-.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 x (-.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64))))
(fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 x x x)
(-.f64 (*.f64 x x) (neg.f64 x))
(-.f64 x (*.f64 (neg.f64 x) x))
(+.f64 (fma.f64 x x x) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)))
(+.f64 (fma.f64 x x x) (*.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64))))
(+.f64 (fma.f64 x x x) #s(literal 0 binary64))
(+.f64 (*.f64 x x) x)
(+.f64 x (+.f64 #s(literal 0 binary64) (*.f64 x x)))
(+.f64 x (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)))
(+.f64 x (*.f64 x x))

eval4.0ms (0.6%)

Memory: 13.4MiB live, 13.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 402 to 85 computations (78.9% saved)

prune2.0ms (0.2%)

Memory

5.1MiB live, 5.1MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	49	2	51

Accuracy

100.0%

Counts

51 → 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)

regimes8.0ms (1%)

Memory

-29.3MiB live, 17.0MiB allocated; 3ms 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:

3.0ms	x
1.0ms	x
1.0ms	(+.f64 x (*.f64 x x))
1.0ms	(+.f64 x (*.f64 x 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)

derivations15.0ms (2%)

Memory

32.9MiB live, 32.9MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 11 to 5 computations (54.5% saved)

preprocess18.0ms (2.4%)

Memory: -11.0MiB live, 41.1MiB allocated; 4ms 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 (59.4%)

preprocess56.0ms (7.5%)

series7.0ms (0.9%)

rewrite84.0ms (11.2%)

eval8.0ms (1.1%)

prune3.0ms (0.4%)

series2.0ms (0.3%)

rewrite97.0ms (12.9%)

eval4.0ms (0.6%)

prune2.0ms (0.2%)

regimes8.0ms (1%)

derivations15.0ms (2%)

preprocess18.0ms (2.4%)

end0.0ms (0%)

Profiling