Details

analyze312.0ms (18.7%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
18.7%	81.1%	0.1%	7
21.8%	78%	0.1%	8
27.3%	67.1%	5.6%	9
41%	50.3%	8.7%	10
43.9%	47%	9.1%	11
48.3%	38%	13.7%	12
56.3%	27.4%	16.2%	13
58.2%	25.4%	16.4%	14

sample16.0ms (0.9%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	80	valid
1.0ms	32×	body	80	invalid

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	7
1	12	7

prune8.0ms (0.5%)

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: 0.0b

Counts

2 → 2

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.2b	(* y (/ y z))

rewrite7.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`associate-r`
10×	`times-frac`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `associate-l`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 32

Calls

1 calls:

6.0ms

(* y (/ y z))

series3.0ms (0.2%)

Counts

1 → 3

Calls

1 calls:

3.0ms

(* y (/ y z))

simplify58.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4845	218
1	4845	218

prune56.0ms (3.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	33	2	35
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	33	4	37

Merged error: 0.0b

Counts

37 → 4

localize11.0ms (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)

rewrite11.0ms (0.6%)

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)

series93.0ms (5.6%)

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (cbrt y) (cbrt y))
22.0ms	(cbrt y)
22.0ms	(cbrt y)
22.0ms	(cbrt y)

simplify48.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5165	356

prune107.0ms (6.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	85	4	89

Merged error: 0.0b

Counts

89 → 4

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

8.9b	(/ (* y y) z)

rewrite5.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-/r`
2×	`cbrt-undiv` `div-exp`
1×	`pow1` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 21

Calls

1 calls:

4.0ms

(/ (* y y) z)

series3.0ms (0.2%)

Counts

1 → 3

Calls

1 calls:

3.0ms

(/ (* y y) z)

simplify57.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4951	149
1	4951	149

prune30.0ms (1.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	23	1	24
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	24	4	28

Merged error: 0b

Counts

28 → 4

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.2b	(/ y (/ z y))

rewrite8.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`times-frac`
43×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`associate-/r*`
6×	`add-exp-log` `add-cbrt-cube`
5×	`div-inv`
3×	`cbrt-undiv` `div-exp` `associate-/l*`
1×	`pow1` `frac-2neg` `clear-num` `associate-/r/` `add-log-exp`

Counts

1 → 70

Calls

1 calls:

5.0ms

(/ y (/ z y))

series5.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

5.0ms

(/ y (/ z y))

simplify62.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5093	686

prune78.0ms (4.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	73	4	77

Merged error: 0b

Counts

77 → 4

regimes262.0ms (15.7%)

Accuracy

Total 0.1b remaining (84.4%)

Threshold costs 0.1b (84.4%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	8	7

end0.0ms (0%)

sample409.0ms (24.5%)

Algorithm

1×

intervals

Results

203.0ms	8000×	body	80	valid
26.0ms	974×	body	80	invalid

Details

analyze312.0ms (18.7%)

sample16.0ms (0.9%)

simplify3.0ms (0.2%)

prune8.0ms (0.5%)

localize5.0ms (0.3%)

rewrite7.0ms (0.4%)

series3.0ms (0.2%)

simplify58.0ms (3.5%)

prune56.0ms (3.4%)

localize11.0ms (0.7%)

rewrite11.0ms (0.6%)

series93.0ms (5.6%)

simplify48.0ms (2.9%)

prune107.0ms (6.4%)

localize5.0ms (0.3%)

rewrite5.0ms (0.3%)

series3.0ms (0.2%)

simplify57.0ms (3.4%)

prune30.0ms (1.8%)

localize5.0ms (0.3%)

rewrite8.0ms (0.5%)

series5.0ms (0.3%)

simplify62.0ms (3.7%)

prune78.0ms (4.7%)

regimes262.0ms (15.7%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample409.0ms (24.5%)

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