Details

analyze346.0ms (9.1%)

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
25%	68.7%	6.3%	6
43.7%	46.8%	9.5%	7
43.7%	42.1%	14.1%	8
46.8%	36.7%	16.5%	9
46.8%	34%	19.2%	10
48.4%	31%	20.6%	11
48.4%	29.6%	22%	12
49.2%	28%	22.8%	13
49.2%	27.3%	23.5%	14

sample89.0ms (2.4%)

Algorithm

1×

intervals

Results

21.0ms	58×	body	1280	valid
18.0ms	61×	body	1280	invalid
12.0ms	43×	body	640	valid
9.0ms	47×	body	640	invalid
6.0ms	131×	body	80	valid
4.0ms	27×	body	320	invalid
2.0ms	16×	body	320	valid
1.0ms	21×	body	80	invalid
1.0ms	11×	body	160	invalid
1.0ms	8×	body	160	valid

simplify82.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4988	7
1	4988	7

prune6.0ms (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: 0.1b

Counts

2 → 1

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.1b	(/ (sin y) y)

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 27

Calls

1 calls:

4.0ms

(/ (sin y) y)

series4.0ms (0.1%)

Counts

1 → 3

Calls

1 calls:

4.0ms

(/ (sin y) y)

simplify47.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5050	223

prune56.0ms (1.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	25	5	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	6	31

Merged error: 0.0b

Counts

31 → 6

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b	(/ y (sin y))
0.2b	(/ 1 (/ y (sin y)))

rewrite15.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

84×	`times-frac`
52×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`associate-/r*`
15×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv`
3×	`pow1`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `add-log-exp`
1×	`pow-flip` `associate-/r/` `inv-pow`

Counts

2 → 103

Calls

2 calls:

6.0ms	(/ 1 (/ y (sin y)))
3.0ms	(/ y (sin y))

series10.0ms (0.3%)

Counts

2 → 6

Calls

2 calls:

6.0ms	(/ y (sin y))
4.0ms	(/ 1 (/ y (sin y)))

simplify77.0ms (2%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4883	1001
1	4883	1001

prune129.0ms (3.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	109	6	115

Merged error: 0.0b

Counts

115 → 6

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.2b	(* (sin y) (/ 1 y))

rewrite9.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 36

Calls

1 calls:

8.0ms

(* (sin y) (/ 1 y))

series4.0ms (0.1%)

Counts

1 → 3

Calls

1 calls:

4.0ms

(* (sin y) (/ 1 y))

simplify39.0ms (1%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5008	241

prune54.0ms (1.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	39	6	45

Merged error: 0.0b

Counts

45 → 6

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt (/ (sin y) y))
0.1b	(* (sqrt (/ (sin y) y)) (sqrt (/ (sin y) y)))
0.1b	(/ (sin y) y)
0.1b	(/ (sin y) y)

rewrite32.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

90×	`add-sqr-sqrt`
79×	`sqrt-prod`
70×	`times-frac`
59×	`add-cube-cbrt` `*-un-lft-identity`
20×	`pow1`
18×	`swap-sqr`
16×	`associate-r` `associate-l`
10×	`add-exp-log` `add-cbrt-cube`
9×	`sqrt-pow1` `pow1/2` `unswap-sqr`
7×	`div-inv`
6×	`associate-/r` `associate-/l`
5×	`sqrt-div` `pow-prod-up`
4×	`add-log-exp`
3×	`pow-prod-down` `pow-sqr`
2×	`cbrt-undiv` `rem-sqrt-square` `frac-2neg` `div-exp` `clear-num`
1×	`pow2` `frac-times` `pow-plus` `sqrt-unprod` `associate-r/` `associate-l/` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 166

Calls

4 calls:

13.0ms	(* (sqrt (/ (sin y) y)) (sqrt (/ (sin y) y)))
5.0ms	(sqrt (/ (sin y) y))
4.0ms	(/ (sin y) y)
4.0ms	(/ (sin y) y)

series20.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (sqrt (/ (sin y) y)) (sqrt (/ (sin y) y)))
6.0ms	(sqrt (/ (sin y) y))
4.0ms	(/ (sin y) y)
4.0ms	(/ (sin y) y)

simplify52.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4922	1536
1	4922	1536

prune184.0ms (4.9%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	177	1	178
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	177	7	184

Merged error: 0b

Counts

184 → 7

regimes244.0ms (6.5%)

Accuracy

Total 0.1b remaining (59.1%)

Threshold costs 0.1b (59.1%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

end0.0ms (0%)

sample2.2s (59.3%)

Algorithm

1×

intervals

Results

510.0ms	1459×	body	1280	valid
467.0ms	1530×	body	1280	invalid
259.0ms	1247×	body	640	valid
246.0ms	1195×	body	640	invalid
224.0ms	4360×	body	80	valid
94.0ms	641×	body	320	invalid
85.0ms	586×	body	320	valid
35.0ms	348×	body	160	valid
33.0ms	314×	body	160	invalid
28.0ms	498×	body	80	invalid

Details

analyze346.0ms (9.1%)

sample89.0ms (2.4%)

simplify82.0ms (2.2%)

prune6.0ms (0.2%)

localize7.0ms (0.2%)

rewrite5.0ms (0.1%)

series4.0ms (0.1%)

simplify47.0ms (1.2%)

prune56.0ms (1.5%)

localize8.0ms (0.2%)

rewrite15.0ms (0.4%)

series10.0ms (0.3%)

simplify77.0ms (2%)

prune129.0ms (3.4%)

localize8.0ms (0.2%)

rewrite9.0ms (0.2%)

series4.0ms (0.1%)

simplify39.0ms (1%)

prune54.0ms (1.4%)

localize9.0ms (0.2%)

rewrite32.0ms (0.8%)

series20.0ms (0.5%)

simplify52.0ms (1.4%)

prune184.0ms (4.9%)

regimes244.0ms (6.5%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample2.2s (59.3%)

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