Details

analyze40.0ms (3.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
50%	50%	0.1%	6
62.4%	31.2%	6.3%	7
71.8%	21.9%	6.3%	8
76.5%	14%	9.5%	9
80.4%	10.1%	9.5%	10
82.3%	6.6%	11%	11
84.1%	4.9%	11%	12
85%	3.2%	11.8%	13
85.8%	2.4%	11.8%	14

sample10.0ms (0.8%)

Algorithm

1×

intervals

Results

4.0ms	256×	body	80	valid
0.0ms	3×	body	80	invalid

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	5
1	15	5

prune4.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 0.2b

Counts

2 → 1

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.2b	(* (* x 27.0) y)

rewrite5.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`associate-l` `*-commutative` `add-log-exp`

Counts

1 → 18

Calls

1 calls:

4.0ms

(* (* x 27.0) y)

series4.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

4.0ms

(* (* x 27.0) y)

simplify38.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4903	122
1	4903	122

prune53.0ms (4.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	16	5	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	6	22

Merged error: 0.0b

Counts

22 → 6

localize6.0ms (0.5%)

Local error

Found 1 expressions with local error:

0.3b	(* x (* 27.0 y))

rewrite8.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`associate-r` `*-commutative` `add-log-exp`

Counts

1 → 18

Calls

1 calls:

7.0ms

(* x (* 27.0 y))

series6.0ms (0.5%)

Counts

1 → 3

Calls

1 calls:

6.0ms

(* x (* 27.0 y))

simplify53.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5107	121

prune43.0ms (3.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	19	2	21
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	19	8	27

Merged error: 0.0b

Counts

27 → 8

localize8.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite10.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series91.0ms (7.3%)

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (cbrt y) (cbrt y))
23.0ms	(cbrt y)
21.0ms	(cbrt y)
21.0ms	(cbrt y)

simplify47.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5165	356

prune116.0ms (9.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	84	9	93

Merged error: 0.0b

Counts

93 → 9

localize12.0ms (1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt (cbrt y))
0.6b	(cbrt (cbrt y))

rewrite6.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 50

Calls

4 calls:

2.0ms	(cbrt (cbrt y))
1.0ms	(cbrt (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series102.0ms (8.2%)

Counts

4 → 12

Calls

4 calls:

31.0ms	(cbrt (cbrt y))
28.0ms	(cbrt (cbrt y))
22.0ms	(cbrt y)
21.0ms	(cbrt y)

simplify33.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	4926	282
1	4926	282

prune88.0ms (7.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	61	1	62
Fresh	1	4	5
Picked	1	0	1
Done	0	3	3
Total	63	8	71

Merged error: 0.0b

Counts

71 → 8

regimes193.0ms (15.6%)

Accuracy

Total 0.3b remaining (89.3%)

Threshold costs 0.3b (89.3%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	5
1	7	5

end0.0ms (0%)

sample258.0ms (20.8%)

Algorithm

1×

intervals

Results

143.0ms	8000×	body	80	valid
1.0ms	70×	body	80	invalid

Details

analyze40.0ms (3.3%)

sample10.0ms (0.8%)

simplify3.0ms (0.2%)

prune4.0ms (0.3%)

localize3.0ms (0.3%)

rewrite5.0ms (0.4%)

series4.0ms (0.3%)

simplify38.0ms (3.1%)

prune53.0ms (4.3%)

localize6.0ms (0.5%)

rewrite8.0ms (0.7%)

series6.0ms (0.5%)

simplify53.0ms (4.2%)

prune43.0ms (3.5%)

localize8.0ms (0.7%)

rewrite10.0ms (0.8%)

series91.0ms (7.3%)

simplify47.0ms (3.8%)

prune116.0ms (9.3%)

localize12.0ms (1%)

rewrite6.0ms (0.5%)

series102.0ms (8.2%)

simplify33.0ms (2.6%)

prune88.0ms (7.1%)

regimes193.0ms (15.6%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample258.0ms (20.8%)

Profiling