Details

sample38.0ms

Algorithm

intervals

Results

11.0ms	41×	body	1280	valid
8.0ms	43×	body	640	valid
7.0ms	172×	body	80	valid
2.0ms	13×	body	320	valid
1.0ms	10×	body	160	valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	4
1	24	4
2	48	4
3	71	4
4	79	4
5	79	4

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 2.9b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.2b	(/ (sin y) y)
2.9b	(/ (* x (/ (sin y) y)) z)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
22×	`times-frac`
21×	`add-cube-cbrt` `*-un-lft-identity`
19×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r`
6×	`cbrt-undiv` `div-exp` `associate-/r*`
5×	`pow1`
4×	`prod-exp` `cbrt-unprod` `associate-/l*`
3×	`associate-l` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-*r/` `clear-num` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 83

Calls

3 calls:

7.0ms	(* x (/ (sin y) y))
4.0ms	(/ (sin y) y)
6.0ms	(/ (* x (/ (sin y) y)) z)

series149.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(* x (/ (sin y) y))
24.0ms	(/ (sin y) y)
70.0ms	(/ (* x (/ (sin y) y)) z)

simplify46.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	326	487
1	1643	420
2	5001	420

prune178.0ms

Filtered

92 candidates to 66 candidates (71.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	81	11	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	11	93

Merged error: 0.0b

Counts

93 → 11

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (/ (sin y) y) z)
0.2b	(/ (sin y) y)
2.7b	(* x (/ (/ (sin y) y) z))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

153×	`times-frac`
98×	`add-sqr-sqrt`
89×	`add-cube-cbrt` `*-un-lft-identity`
43×	`associate-r`
19×	`add-exp-log` `add-cbrt-cube`
16×	`associate-/l*`
10×	`div-inv`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r*`
5×	`pow1`
3×	`associate-l` `prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `clear-num`
1×	`associate-r/` `pow-prod-down` `-commutative` `associate-/l/`

Counts

3 → 162

Calls

3 calls:

6.0ms	(/ (/ (sin y) y) z)
4.0ms	(/ (sin y) y)
14.0ms	(* x (/ (/ (sin y) y) z))

series126.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(/ (/ (sin y) y) z)
28.0ms	(/ (sin y) y)
65.0ms	(* x (/ (/ (sin y) y) z))

simplify73.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	608	1176
1	2865	1100
2	5002	1100

prune329.0ms

Filtered

171 candidates to 136 candidates (79.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	169	2	171
Fresh	3	7	10
Picked	0	1	1
Done	0	0	0
Total	172	10	182

Merged error: 0b

Counts

182 → 10

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ z (/ (sin y) y))
0.2b	(/ (sin y) y)
2.8b	(/ x (/ z (/ (sin y) y)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

480×	`times-frac`
238×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
60×	`associate-/r*`
23×	`div-inv`
19×	`add-exp-log` `add-cbrt-cube`
10×	`cbrt-undiv` `div-exp`
9×	`associate-/l*`
6×	`associate-/r/`
3×	`pow1` `frac-2neg` `clear-num` `add-log-exp`

Counts

3 → 293

Calls

3 calls:

6.0ms	(/ z (/ (sin y) y))
4.0ms	(/ (sin y) y)
12.0ms	(/ x (/ z (/ (sin y) y)))

series166.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(/ z (/ (sin y) y))
24.0ms	(/ (sin y) y)
78.0ms	(/ x (/ z (/ (sin y) y)))

simplify59.0ms

Algorithm

egg-herbie

Counts

302 → 302

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	1110	2950
1	5001	2830

prune663.0ms

Filtered

302 candidates to 259 candidates (85.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	299	3	302
Fresh	5	3	8
Picked	1	0	1
Done	0	1	1
Total	305	7	312

Merged error: 0b

Counts

312 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (/ 1 (/ y (sin y))))
0.2b	(/ y (sin y))
0.3b	(/ 1 (/ y (sin y)))
2.9b	(/ (* x (/ 1 (/ y (sin y)))) z)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

159×	`times-frac`
106×	`add-sqr-sqrt`
94×	`*-un-lft-identity`
92×	`add-cube-cbrt`
64×	`add-exp-log`
44×	`associate-r`
34×	`add-cbrt-cube`
30×	`div-exp`
19×	`associate-/r*`
14×	`cbrt-undiv` `prod-exp`
11×	`div-inv`
7×	`pow1` `associate-/l*`
6×	`rec-exp` `1-exp` `cbrt-unprod`
5×	`unswap-sqr`
4×	`add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`associate-*r/` `associate-/r/` `un-div-inv` `associate-/l/`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow`

Counts

4 → 207

Calls

4 calls:

15.0ms	(* x (/ 1 (/ y (sin y))))
3.0ms	(/ y (sin y))
6.0ms	(/ 1 (/ y (sin y)))
10.0ms	(/ (* x (/ 1 (/ y (sin y)))) z)

series166.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* x (/ 1 (/ y (sin y))))
21.0ms	(/ y (sin y))
27.0ms	(/ 1 (/ y (sin y)))
68.0ms	(/ (* x (/ 1 (/ y (sin y)))) z)

simplify89.0ms

Algorithm

egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	709	1445
1	3691	1227
2	5003	1090

prune295.0ms

Filtered

219 candidates to 131 candidates (59.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	219	0	219
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	219	7	226

Merged error: 0b

Counts

226 → 7

regimes128.0ms

Accuracy

90.2% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.6b

bsearch94.0ms

Steps

Iters	Range		Point
10	1.923934098216373e-18	0.06406876111163662	4.936958352665599e-18
9	-2.129605142238758e-61	-1.09146159441297e-67	-1.970857708228195e-61

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	9
1	25	9

end0.0ms

sample1.1s

Algorithm

intervals

Results

273.0ms	5957×	body	80	valid
268.0ms	923×	body	1280	valid
197.0ms	1012×	body	640	valid
75.0ms	560×	body	320	valid
26.0ms	287×	body	160	valid