Details

analyze61.0ms (4.3%)

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
37.5%	62.4%	0.1%	6
50%	37.5%	12.6%	7
56.2%	31.2%	12.6%	8
62.4%	18.7%	18.8%	9
65.6%	15.6%	18.8%	10
68.7%	9.4%	22%	11
70.2%	7.8%	22%	12
71.8%	4.7%	23.5%	13
72.6%	3.9%	23.5%	14

sample12.0ms (0.8%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	7×	body	80	invalid

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	34	7
1	34	7

prune4.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.2b

Counts

2 → 1

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.2b	(* (* (* x 3.0) y) y)
0.2b	(* (* x 3.0) y)

rewrite11.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

6.0ms	(* (* (* x 3.0) y) y)
4.0ms	(* (* x 3.0) y)

series10.0ms (0.7%)

Counts

2 → 6

Calls

2 calls:

7.0ms	(* (* (* x 3.0) y) y)
3.0ms	(* (* x 3.0) y)

simplify47.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4953	307
1	4953	307

prune71.0ms (5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	40	5	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	6	46

Merged error: 0.1b

Counts

46 → 6

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.2b	(* (* x (* 3.0 y)) y)
0.2b	(* x (* 3.0 y))

rewrite11.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

6.0ms	(* (* x (* 3.0 y)) y)
4.0ms	(* x (* 3.0 y))

series10.0ms (0.7%)

Counts

2 → 6

Calls

2 calls:

7.0ms	(* (* x (* 3.0 y)) y)
3.0ms	(* x (* 3.0 y))

simplify32.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5185	308

prune67.0ms (4.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	44	7	51

Merged error: 0.0b

Counts

51 → 7

localize9.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (* x 3.0) y)) (cbrt (* (* x 3.0) y)))
11.7b	(cbrt (* (* x 3.0) y))
11.7b	(cbrt (* (* x 3.0) y))
11.7b	(cbrt (* (* x 3.0) y))

rewrite17.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

5.0ms	(* (cbrt (* (* x 3.0) y)) (cbrt (* (* x 3.0) y)))
3.0ms	(cbrt (* (* x 3.0) y))
3.0ms	(cbrt (* (* x 3.0) y))
3.0ms	(cbrt (* (* x 3.0) y))

series78.0ms (5.5%)

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (cbrt (* (* x 3.0) y)) (cbrt (* (* x 3.0) y)))
19.0ms	(cbrt (* (* x 3.0) y))
16.0ms	(cbrt (* (* x 3.0) y))
16.0ms	(cbrt (* (* x 3.0) y))

simplify35.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5050	509

prune153.0ms (10.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	69	8	77

Merged error: 0.0b

Counts

77 → 8

localize13.0ms (0.9%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.7b	(cbrt (* x 3.0))
11.7b	(cbrt (* (* x 3.0) y))
11.7b	(cbrt (* (* x 3.0) y))

rewrite14.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 38

Calls

4 calls:

6.0ms	(cbrt (* (* x 3.0) y))
4.0ms	(cbrt (* (* x 3.0) y))
2.0ms	(cbrt (* x 3.0))
1.0ms	(cbrt y)

series93.0ms (6.6%)

Counts

4 → 12

Calls

4 calls:

31.0ms	(cbrt (* (* x 3.0) y))
25.0ms	(cbrt (* x 3.0))
20.0ms	(cbrt y)
16.0ms	(cbrt (* (* x 3.0) y))

simplify75.0ms (5.3%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5203	269

prune100.0ms (7.1%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	50	8	58

Merged error: 0.0b

Counts

58 → 8

regimes191.0ms (13.5%)

Accuracy

Total 0.2b remaining (83.4%)

Threshold costs 0.2b (83.4%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	7
1	9	7

end0.0ms (0%)

sample290.0ms (20.5%)

Algorithm

1×

intervals

Results

172.0ms	8000×	body	80	valid
4.0ms	189×	body	80	invalid

Details

analyze61.0ms (4.3%)

sample12.0ms (0.8%)

simplify3.0ms (0.2%)

prune4.0ms (0.3%)

localize4.0ms (0.3%)

rewrite11.0ms (0.8%)

series10.0ms (0.7%)

simplify47.0ms (3.3%)

prune71.0ms (5%)

localize4.0ms (0.3%)

rewrite11.0ms (0.8%)

series10.0ms (0.7%)

simplify32.0ms (2.3%)

prune67.0ms (4.7%)

localize9.0ms (0.6%)

rewrite17.0ms (1.2%)

series78.0ms (5.5%)

simplify35.0ms (2.5%)

prune153.0ms (10.8%)

localize13.0ms (0.9%)

rewrite14.0ms (1%)

series93.0ms (6.6%)

simplify75.0ms (5.3%)

prune100.0ms (7.1%)

regimes191.0ms (13.5%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample290.0ms (20.5%)

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