Metrics for FastMath repmul

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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 9 to 6 computations (33.3% saved)

sample566.0ms (50.1%)

Memory

7.2MiB live, 942.6MiB allocated; 211ms collecting garbage

Samples

323.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 153.0ms

ival-mult!: 151.0ms (99% of total)

adjust: 2.0ms (1.3% of total)

Bogosity

preprocess36.0ms (3.2%)

Memory

4.1MiB live, 57.8MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	38	10

Stop Event

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(.f64 (.f64 (*.f64 d1 d1) d1) d1)

Symmetry

(abs d1)

Compiler

Compiled 14 to 8 computations (42.9% saved)

series78.0ms (6.9%)

Memory

27.7MiB live, 74.3MiB allocated; 13ms collecting garbage

Counts

4 → 4

Calls

Call 1

Inputs
(.f64 (.f64 (*.f64 d1 d1) d1) d1)
(.f64 (.f64 d1 d1) d1)
(*.f64 d1 d1)
d1

Outputs
#s(approx (* (* (* d1 d1) d1) d1) (pow.f64 d1 #s(literal 4 binary64)))
#s(approx (* (* d1 d1) d1) (pow.f64 d1 #s(literal 3 binary64)))
#s(approx (* d1 d1) (pow.f64 d1 #s(literal 2 binary64)))
#s(approx d1 d1)

Calls

3 calls:

Time	Variable	Point
2.0ms	d1	-inf
1.0ms	d1	inf
1.0ms	d1	0

rewrite160.0ms (14.1%)

Memory

-41.5MiB live, 258.0MiB allocated; 47ms collecting garbage

Counts

4 → 17

Calls

Call 1

Inputs
(.f64 (.f64 (*.f64 d1 d1) d1) d1)
(.f64 (.f64 d1 d1) d1)
(*.f64 d1 d1)
d1

Outputs
(.f64 (.f64 (*.f64 d1 d1) d1) d1)
(.f64 (.f64 d1 d1) (*.f64 d1 d1))
(.f64 (fabs.f64 d1) (.f64 (*.f64 d1 d1) d1))
(.f64 (neg.f64 d1) (.f64 (*.f64 d1 d1) d1))
(.f64 (.f64 (*.f64 d1 d1) d1) (fabs.f64 d1))
(.f64 (.f64 d1 d1) d1)
(.f64 (.f64 d1 d1) (neg.f64 d1))
(.f64 (.f64 d1 d1) (fabs.f64 d1))
(.f64 (fabs.f64 d1) (.f64 d1 d1))
(.f64 (neg.f64 d1) (.f64 d1 d1))
(*.f64 d1 d1)
(*.f64 (fabs.f64 d1) (fabs.f64 d1))
(*.f64 (fabs.f64 d1) d1)
(*.f64 (fabs.f64 d1) (neg.f64 d1))
(*.f64 (neg.f64 d1) d1)
d1
(neg.f64 (neg.f64 d1))

eval2.0ms (0.1%)

Memory: 4.0MiB live, 4.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 160 to 52 computations (67.5% saved)

prune1.0ms (0.1%)

Memory

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

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	15	2	17
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	3	18

Accuracy

100.0%

Counts

18 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(.f64 (.f64 (*.f64 d1 d1) d1) d1)
▶	99.8%	(.f64 (.f64 d1 d1) (*.f64 d1 d1))
▶	100.0%	#s(approx (* (* (* d1 d1) d1) d1) (pow.f64 d1 #s(literal 4 binary64)))

Compiler

Compiled 25 to 14 computations (44% saved)

series81.0ms (7.1%)

Memory

10.8MiB live, 61.4MiB allocated; 20ms collecting garbage

Counts

6 → 3

Calls

Call 1

Inputs
#s(approx (* (* (* d1 d1) d1) d1) (pow.f64 d1 #s(literal 4 binary64)))
(pow.f64 d1 #s(literal 4 binary64))
d1
#s(literal 4 binary64)
(.f64 (.f64 d1 d1) (*.f64 d1 d1))
(*.f64 d1 d1)

Outputs
#s(approx (* (* (* d1 d1) d1) d1) (pow.f64 d1 #s(literal 4 binary64)))
#s(approx d1 d1)
#s(approx (* d1 d1) (pow.f64 d1 #s(literal 2 binary64)))

Calls

3 calls:

Time	Variable	Point
1.0ms	d1	-inf
1.0ms	d1	inf
0.0ms	d1	0

rewrite167.0ms (14.8%)

Memory

18.8MiB live, 247.4MiB allocated; 43ms collecting garbage

Counts

6 → 21

Calls

Call 1

Inputs
#s(approx (* (* (* d1 d1) d1) d1) (pow.f64 d1 #s(literal 4 binary64)))
(pow.f64 d1 #s(literal 4 binary64))
d1
#s(literal 4 binary64)
(.f64 (.f64 d1 d1) (*.f64 d1 d1))
(*.f64 d1 d1)

Outputs
#s(approx (pow d1 (* 2 2)) (pow.f64 d1 #s(literal 4 binary64)))
(*.f64 (pow.f64 (neg.f64 d1) (/.f64 #s(literal 4 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 d1) (/.f64 #s(literal 4 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fabs.f64 d1) (/.f64 #s(literal 4 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 d1) (/.f64 #s(literal 4 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 d1 #s(literal 4 binary64))) (sqrt.f64 (pow.f64 d1 #s(literal 4 binary64))))
(*.f64 (neg.f64 (sqrt.f64 (pow.f64 d1 #s(literal 4 binary64)))) (neg.f64 (sqrt.f64 (pow.f64 d1 #s(literal 4 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 d1 #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (pow.f64 d1 #s(literal 4 binary64))) #s(literal 1 binary64)))
d1
(+.f64 (cosh.f64 (log.f64 d1)) (sinh.f64 (log.f64 d1)))
(exp.f64 (log.f64 d1))
(neg.f64 (neg.f64 d1))
#s(literal 4 binary64)
(.f64 (.f64 d1 d1) (*.f64 d1 d1))
(.f64 (fabs.f64 d1) (.f64 (*.f64 d1 d1) d1))
(.f64 (neg.f64 d1) (.f64 (*.f64 d1 d1) d1))
(.f64 (.f64 (*.f64 d1 d1) d1) (fabs.f64 d1))
(.f64 (.f64 (*.f64 d1 d1) d1) d1)
(*.f64 d1 d1)
(*.f64 (fabs.f64 d1) d1)
(*.f64 (fabs.f64 d1) (neg.f64 d1))
(*.f64 (fabs.f64 d1) (fabs.f64 d1))
(*.f64 (neg.f64 d1) (fabs.f64 d1))

eval2.0ms (0.2%)

Memory: 5.3MiB live, 5.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 321 to 69 computations (78.5% saved)

prune1.0ms (0.1%)

Memory

2.8MiB live, 2.8MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	22	3	25

Accuracy

100.0%

Counts

25 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(.f64 (.f64 (*.f64 d1 d1) d1) d1)
✓	99.8%	(.f64 (.f64 d1 d1) (*.f64 d1 d1))
✓	100.0%	#s(approx (* (* (* d1 d1) d1) d1) (pow.f64 d1 #s(literal 4 binary64)))

Compiler

Compiled 25 to 14 computations (44% saved)

regimes11.0ms (1%)

Memory

-26.4MiB live, 20.6MiB allocated; 5ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

2 → 1

3 → 1

Calls

Call 1

Inputs
(.f64 (.f64 d1 d1) (*.f64 d1 d1))

Outputs
(.f64 (.f64 d1 d1) (*.f64 d1 d1))

Call 2

Inputs
(.f64 (.f64 d1 d1) (*.f64 d1 d1))
(.f64 (.f64 (*.f64 d1 d1) d1) d1)

Outputs
(.f64 (.f64 (*.f64 d1 d1) d1) d1)

Call 3

Inputs
(.f64 (.f64 d1 d1) (*.f64 d1 d1))
(.f64 (.f64 (*.f64 d1 d1) d1) d1)
#s(approx (* (* (* d1 d1) d1) d1) (pow.f64 d1 #s(literal 4 binary64)))

Outputs
#s(approx (* (* (* d1 d1) d1) d1) (pow.f64 d1 #s(literal 4 binary64)))

Calls

6 calls:

5.0ms	d1
1.0ms	d1
1.0ms	(.f64 (.f64 (*.f64 d1 d1) d1) d1)
1.0ms	(.f64 (.f64 (*.f64 d1 d1) d1) d1)
1.0ms	d1

Results

Accuracy	Segments	Branch
99.8%	1	`(.f64 (.f64 (*.f64 d1 d1) d1) d1)`
99.8%	1	`d1`
99.9%	1	`(.f64 (.f64 (*.f64 d1 d1) d1) d1)`
99.9%	1	`d1`
100.0%	1	`(.f64 (.f64 (*.f64 d1 d1) d1) d1)`
100.0%	1	`d1`

Compiler

Compiled 49 to 26 computations (46.9% saved)

derivations1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 25 to 11 computations (56% saved)

preprocess22.0ms (2%)

Memory: -1.4MiB live, 44.7MiB allocated; 3ms collecting garbage
Remove: (abs d1)
Compiler: Compiled 85 to 46 computations (45.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample566.0ms (50.1%)

preprocess36.0ms (3.2%)

series78.0ms (6.9%)

rewrite160.0ms (14.1%)

eval2.0ms (0.1%)

prune1.0ms (0.1%)

series81.0ms (7.1%)

rewrite167.0ms (14.8%)

eval2.0ms (0.2%)

prune1.0ms (0.1%)

regimes11.0ms (1%)

derivations1.0ms (0%)

preprocess22.0ms (2%)

end0.0ms (0%)

Profiling