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)

sample549.0ms (59.3%)

Memory

-1.3MiB live, 482.2MiB allocated; 151ms collecting garbage

Samples

371.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 106.0ms

ival-mult!: 86.0ms (80.9% of total)

ival-add!: 19.0ms (17.9% of total)

adjust: 1.0ms (0.9% of total)

Bogosity

preprocess65.0ms (7%)

Memory

0.1MiB live, 45.5MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	18
1	38	15
2	132	15
3	209	15
4	484	15
5	3288	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 6 to 6 computations (0% saved)

series2.0ms (0.2%)

Memory

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

Counts

3 → 4

Calls

Call 1

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

Outputs
#s(approx (+ x (* x x)) #s(hole binary64 x))
#s(approx (+ x (* x x)) #s(hole binary64 (* x (+ 1 x))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ x (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 x)))))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((+ x (* x x)) x (* x x))
1.0ms	x	@	inf	((+ x (* x x)) x (* x x))
0.0ms	x	@	0	((+ x (* x x)) x (* x x))

rewrite61.0ms (6.5%)

Memory

28.5MiB live, 73.5MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	49
0	18	49
1	99	47
0	836	41
1	3126	41

Stop Event

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

Counts

7 → 57

Calls

Call 1

Inputs
(+.f64 x (*.f64 x x))
x
(*.f64 x x)
#s(approx (+ x (* x x)) #s(hole binary64 x))
#s(approx (+ x (* x x)) #s(hole binary64 (* x (+ 1 x))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ x (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 x)))))

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

eval4.0ms (0.5%)

Memory: 9.8MiB live, 9.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 223 to 108 computations (51.6% saved)

prune2.0ms (0.2%)

Memory

3.7MiB live, 3.7MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	52	2	54
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	53	2	55

Accuracy

100.0%

Counts

55 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x x x)
▶	98.7%	#s(approx (+ x (* x x)) x)

Compiler

Compiled 6 to 6 computations (0% saved)

series26.0ms (2.8%)

Memory

-40.2MiB live, 10.1MiB allocated; 13ms collecting garbage

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)) #s(hole binary64 x))
#s(approx (+ x (* x x)) #s(hole binary64 (* x (+ 1 x))))
#s(approx (+ x (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (+ x (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 x)))))

Calls

3 calls:

Time	Variable		Point	Expression
25.0ms	x	@	inf	((+ x (* x x)) x (+ (* x x) x))
0.0ms	x	@	-inf	((+ x (* x x)) x (+ (* x x) x))
0.0ms	x	@	0	((+ x (* x x)) x (+ (* x x) x))

rewrite64.0ms (6.9%)

Memory

19.5MiB live, 111.9MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	54
0	17	48
1	106	46
0	909	45
1	3806	45

Stop Event

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

Counts

7 → 48

Calls

Call 1

Inputs
#s(approx (+ x (* x x)) x)
x
(fma.f64 x x x)
#s(approx (+ x (* x x)) #s(hole binary64 x))
#s(approx (+ x (* x x)) #s(hole binary64 (* x (+ 1 x))))
#s(approx (+ x (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (+ x (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 x)))))

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

eval4.0ms (0.4%)

Memory: 10.2MiB live, 10.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 202 to 67 computations (66.8% saved)

prune2.0ms (0.2%)

Memory

6.1MiB live, 6.1MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	44	0	44
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	44	2	46

Accuracy

100.0%

Counts

46 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x x x)
✓	98.7%	#s(approx (+ x (* x x)) x)

Compiler

Compiled 13 to 13 computations (0% saved)

regimes10.0ms (1.1%)

Memory

-30.8MiB live, 12.0MiB allocated; 8ms collecting garbage

Counts

3 → 1

Calls

Call 1

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

Outputs
(fma.f64 x x x)

Calls

2 calls:

9.0ms	(+.f64 x (*.f64 x x))
1.0ms	x

Results

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

Compiler

Compiled 4 to 4 computations (0% saved)

regimes2.0ms (0.2%)

Memory

9.0MiB live, 9.0MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.7%	1	`(+.f64 x (*.f64 x x))`
98.7%	1	`x`

Compiler

Compiled 4 to 4 computations (0% saved)

derivations7.0ms (0.8%)

Memory

21.1MiB live, 21.1MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 5 to 5 computations (0% saved)

preprocess128.0ms (13.9%)

Memory: -45.5MiB live, 29.3MiB allocated; 148ms collecting garbage
Compiler: Compiled 12 to 12 computations (0% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample549.0ms (59.3%)

preprocess65.0ms (7%)

series2.0ms (0.2%)

rewrite61.0ms (6.5%)

eval4.0ms (0.5%)

prune2.0ms (0.2%)

series26.0ms (2.8%)

rewrite64.0ms (6.9%)

eval4.0ms (0.4%)

prune2.0ms (0.2%)

regimes10.0ms (1.1%)

regimes2.0ms (0.2%)

derivations7.0ms (0.8%)

preprocess128.0ms (13.9%)

end0.0ms (0%)

Profiling