Details

analyze2.2s (26.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.5%	0.5%	0
0%	99.5%	0.5%	1
0%	99.5%	0.5%	2
0%	99.5%	0.5%	3
0%	99.5%	0.5%	4
0%	99.5%	0.5%	5
0%	99.5%	0.5%	6
0%	99.5%	0.5%	7
0%	99.5%	0.5%	8
0%	99.5%	0.5%	9
0%	99.5%	0.5%	10
0%	99.5%	0.5%	11
0%	99.5%	0.5%	12
0%	99.5%	0.5%	13
0%	99.5%	0.5%	14

sample82.0ms (1%)

Algorithm

1×

intervals

Results

21.0ms	256×	body	80	valid
21.0ms	252×	body	80	invalid

simplify263.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (262.0ms)

Iter	Nodes	Cost
0	3114	29
1	3114	29

prune20.0ms (0.2%)

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: 0.8b

Counts

2 → 2

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.3b	(* (* j 27.0) k)
3.0b	(* (* (* (* x 18.0) y) z) t)
5.6b	(* (* (* x 18.0) y) z)

rewrite28.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`pow1` `add-exp-log` `add-cbrt-cube`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-r`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`associate-l` `*-commutative` `add-log-exp`

Counts

4 → 81

Calls

4 calls:

10.0ms	(* (* (* (* x 18.0) y) z) t)
7.0ms	(* (* (* x 18.0) y) z)
5.0ms	(* (* x 18.0) y)
4.0ms	(* (* j 27.0) k)

series26.0ms (0.3%)

Counts

4 → 12

Calls

4 calls:

11.0ms	(* (* (* (* x 18.0) y) z) t)
9.0ms	(* (* (* x 18.0) y) z)
3.0ms	(* (* j 27.0) k)
3.0ms	(* (* x 18.0) y)

simplify47.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5551	678

prune223.0ms (2.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	87	6	93
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	88	7	95

Merged error: 0.0b

Counts

95 → 7

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(* 18.0 (* y z))
0.3b	(* (* j 27.0) k)
3.0b	(* (pow (* x (* 18.0 (* y z))) 1) t)
5.3b	(* x (* 18.0 (* y z)))

rewrite25.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`add-exp-log`
25×	`add-cbrt-cube`
24×	`pow1` `prod-exp`
13×	`pow-prod-down` `cbrt-unprod`
12×	`add-sqr-sqrt` `associate-l`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-r`
4×	`pow-exp` `*-commutative` `add-log-exp`
2×	`unswap-sqr` `sqr-pow`
1×	`pow-to-exp` `unpow-prod-down`

Counts

4 → 83

Calls

4 calls:

7.0ms	(* x (* 18.0 (* y z)))
6.0ms	(* (pow (* x (* 18.0 (* y z))) 1) t)
5.0ms	(* 18.0 (* y z))
4.0ms	(* (* j 27.0) k)

series24.0ms (0.3%)

Counts

4 → 12

Calls

4 calls:

11.0ms	(* (pow (* x (* 18.0 (* y z))) 1) t)
6.0ms	(* x (* 18.0 (* y z)))
3.0ms	(* (* j 27.0) k)
3.0ms	(* 18.0 (* y z))

simplify34.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5057	723

prune227.0ms (2.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	95	7	102

Merged error: 0.0b

Counts

102 → 7

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

5.6b	(* (* (* x 18.0) y) z)
9.2b	(cbrt (* j (* 27.0 k)))
9.2b	(cbrt (* j (* 27.0 k)))
9.2b	(cbrt (* j (* 27.0 k)))

rewrite19.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 48

Calls

4 calls:

7.0ms	(* (* (* x 18.0) y) z)
4.0ms	(cbrt (* j (* 27.0 k)))
4.0ms	(cbrt (* j (* 27.0 k)))
3.0ms	(cbrt (* j (* 27.0 k)))

series60.0ms (0.7%)

Counts

4 → 12

Calls

4 calls:

19.0ms	(cbrt (* j (* 27.0 k)))
17.0ms	(cbrt (* j (* 27.0 k)))
17.0ms	(cbrt (* j (* 27.0 k)))
6.0ms	(* (* (* x 18.0) y) z)

simplify41.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4964	426
1	4964	426

prune207.0ms (2.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	60	7	67

Merged error: 0.0b

Counts

67 → 7

localize31.0ms (0.4%)

Local error

Found 4 expressions with local error:

5.6b	(* (* (* x 18.0) y) z)
9.2b	(cbrt (* j (* 27.0 k)))
9.2b	(cbrt (* j (* 27.0 k)))
9.4b	(cbrt (* j k))

rewrite19.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 48

Calls

4 calls:

8.0ms	(* (* (* x 18.0) y) z)
4.0ms	(cbrt (* j (* 27.0 k)))
4.0ms	(cbrt (* j (* 27.0 k)))
2.0ms	(cbrt (* j k))

series55.0ms (0.7%)

Counts

4 → 12

Calls

4 calls:

17.0ms	(cbrt (* j (* 27.0 k)))
17.0ms	(cbrt (* j (* 27.0 k)))
14.0ms	(cbrt (* j k))
7.0ms	(* (* (* x 18.0) y) z)

simplify65.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5025	399

prune160.0ms (1.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	60	7	67

Merged error: 0.0b

Counts

67 → 7

regimes2.2s (25.8%)

Accuracy

Total 3.0b remaining (96.8%)

Threshold costs 0b (0%)

bsearch1.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	305	105
1	305	105

end0.0ms (0%)

sample2.3s (27.4%)

Algorithm

1×

intervals

Results

722.0ms	8182×	body	80	invalid
698.0ms	8000×	body	80	valid

Details

analyze2.2s (26.1%)

sample82.0ms (1%)

simplify263.0ms (3.1%)

prune20.0ms (0.2%)

localize21.0ms (0.3%)

rewrite28.0ms (0.3%)

series26.0ms (0.3%)

simplify47.0ms (0.6%)

prune223.0ms (2.7%)

localize26.0ms (0.3%)

rewrite25.0ms (0.3%)

series24.0ms (0.3%)

simplify34.0ms (0.4%)

prune227.0ms (2.7%)

localize26.0ms (0.3%)

rewrite19.0ms (0.2%)

series60.0ms (0.7%)

simplify41.0ms (0.5%)

prune207.0ms (2.5%)

localize31.0ms (0.4%)

rewrite19.0ms (0.2%)

series55.0ms (0.7%)

simplify65.0ms (0.8%)

prune160.0ms (1.9%)

regimes2.2s (25.8%)

bsearch1.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.3s (27.4%)

Profiling