Metrics for Expression 2, p15

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample413.0ms (59.7%)

Memory

43.9MiB live, 541.7MiB allocated; 137ms collecting garbage

Samples

243.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-mult!: 44.0ms (65.4% of total)

ival-add!: 22.0ms (32.7% of total)

adjust: 1.0ms (1.5% of total)

Bogosity

preprocess91.0ms (13.2%)

Memory

-44.3MiB live, 55.6MiB allocated; 32ms 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	3156	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)

series5.0ms (0.7%)

Memory

9.5MiB live, 9.4MiB 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	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))

rewrite53.0ms (7.7%)

Memory

25.2MiB live, 68.5MiB allocated; 6ms 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: 6.4MiB live, 6.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 290 to 119 computations (59% saved)

prune2.0ms (0.3%)

Memory

2.4MiB live, 2.4MiB 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)
▶	99.1%	#s(approx (+ x (* x x)) x)

Compiler

Compiled 6 to 6 computations (0% 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	Expression
0.0ms	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))

rewrite62.0ms (9%)

Memory

-26.0MiB live, 18.2MiB allocated; 8ms 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))

eval4.0ms (0.6%)

Memory: 6.3MiB live, 6.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 416 to 132 computations (68.3% saved)

prune2.0ms (0.3%)

Memory

2.7MiB live, 2.7MiB 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)
✓	99.1%	#s(approx (+ x (* x x)) x)

Compiler

Compiled 13 to 13 computations (0% saved)

regimes3.0ms (0.4%)

Memory

5.0MiB live, 5.0MiB allocated; 0ms 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:

1.0ms	x
1.0ms	(+.f64 x (*.f64 x 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 (0.3%)

Memory

4.1MiB live, 4.1MiB 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	(+.f64 x (*.f64 x x))
1.0ms	x

Results

Accuracy	Segments	Branch
99.1%	1	`(+.f64 x (*.f64 x x))`
99.1%	1	`x`

Compiler

Compiled 4 to 4 computations (0% saved)

derivations2.0ms (0.3%)

Memory

1.6MiB live, 1.6MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 5 to 5 computations (0% saved)

preprocess46.0ms (6.6%)

Memory: -24.8MiB live, 26.5MiB allocated; 15ms 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%)

sample413.0ms (59.7%)

preprocess91.0ms (13.2%)

series5.0ms (0.7%)

rewrite53.0ms (7.7%)

eval4.0ms (0.6%)

prune2.0ms (0.3%)

series2.0ms (0.3%)

rewrite62.0ms (9%)

eval4.0ms (0.6%)

prune2.0ms (0.3%)

regimes3.0ms (0.4%)

regimes2.0ms (0.3%)

derivations2.0ms (0.3%)

preprocess46.0ms (6.6%)

end0.0ms (0%)

Profiling