Details

analyze39.0ms (4.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	6.2%	93.8%	0
0%	6.2%	93.8%	1
0%	6.2%	93.8%	2
1.6%	3.1%	95.3%	3
1.6%	3.1%	95.3%	4
2.3%	1.6%	96.1%	5
2.3%	1.6%	96.1%	6
2.7%	0.8%	96.5%	7
2.7%	0.8%	96.5%	8
2.9%	0.4%	96.7%	9
2.9%	0.4%	96.7%	10
3%	0.2%	96.8%	11
3%	0.2%	96.8%	12
3.1%	0.1%	96.8%	13
3.1%	0.1%	96.8%	14

sample20.0ms (2.1%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	80	valid
4.0ms	256×	pre	80	true
0.0ms	3×	pre	80	false

simplify53.0ms (5.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5165	11

prune7.0ms (0.7%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 16.1b

Counts

2 → 1

localize8.0ms (0.8%)

Local error

Found 2 expressions with local error:

0.2b	(* b (/ b (* a a)))
15.9b	(/ b (* a a))

rewrite12.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-exp-log` `add-cbrt-cube`
11×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-r*`
5×	`prod-exp` `cbrt-unprod`
4×	`pow1` `cbrt-undiv` `div-exp`
3×	`associate-l` `associate-/l*`
2×	`div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `associate-/r` `*-commutative`

Counts

2 → 49

Calls

2 calls:

7.0ms	(* b (/ b (* a a)))
4.0ms	(/ b (* a a))

series10.0ms (1.1%)

Counts

2 → 6

Calls

2 calls:

5.0ms	(* b (/ b (* a a)))
5.0ms	(/ b (* a a))

simplify50.0ms (5.3%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5034	332

prune92.0ms (9.7%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	54	1	55
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	55	1	56

Merged error: 0b

Counts

56 → 1

localize7.0ms (0.7%)

Local error

Found 1 expressions with local error:

0.4b	(pow (/ b a) 2)

rewrite5.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`unpow-prod-down`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
4×	`add-exp-log`
3×	`pow-unpow`
2×	`pow1` `pow-exp`
1×	`pow-to-exp` `pow-pow` `div-exp` `add-cbrt-cube` `div-inv` `unpow2` `add-log-exp` `sqr-pow`

Counts

1 → 29

Calls

1 calls:

4.0ms

(pow (/ b a) 2)

series3.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

3.0ms

(pow (/ b a) 2)

simplify35.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5180	228

prune55.0ms (5.8%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	1	33

Merged error: 0b

Counts

33 → 1

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	9
1	19	9

end0.0ms (0%)

sample543.0ms (57.7%)

Algorithm

1×

intervals

Results

263.0ms	8000×	body	80	valid
143.0ms	8000×	pre	80	true
2.0ms	108×	pre	80	false

Details

analyze39.0ms (4.2%)

sample20.0ms (2.1%)

simplify53.0ms (5.7%)

prune7.0ms (0.7%)

localize8.0ms (0.8%)

rewrite12.0ms (1.3%)

series10.0ms (1.1%)

simplify50.0ms (5.3%)

prune92.0ms (9.7%)

localize7.0ms (0.7%)

rewrite5.0ms (0.6%)

series3.0ms (0.4%)

simplify35.0ms (3.8%)

prune55.0ms (5.8%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample543.0ms (57.7%)

Profiling