Details

sample32.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
6.0ms	263×	body	80	nan

simplify31.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	4
1	16	4
2	23	4
3	41	4
4	64	4
5	74	4
6	86	4
7	112	4
8	190	4
9	253	4
10	358	4
11	360	4
12	361	4
13	361	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: 14.9b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x (log (/ x y))) z)
0.3b	(* x (log (/ x y)))
14.4b	(log (/ x y))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

65×	`log-prod`
49×	`add-sqr-sqrt`
48×	`*-un-lft-identity`
45×	`times-frac`
42×	`add-cube-cbrt`
26×	`distribute-rgt-in` `distribute-lft-in` `associate--l+`
9×	`log-div`
8×	`add-exp-log`
7×	`pow1`
5×	`add-cbrt-cube` `div-inv` `associate-/l*` `add-log-exp`
4×	`associate-r` `associate-l` `log-rec`
3×	`clear-num` `associate-/r*`
2×	`rem-log-exp` `log-pow` `distribute-rgt-neg-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod`

Counts

3 → 123

Calls

3 calls:

11.0ms	(- (* x (log (/ x y))) z)
7.0ms	(* x (log (/ x y)))
3.0ms	(log (/ x y))

series162.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(- (* x (log (/ x y))) z)
48.0ms	(* x (log (/ x y)))
41.0ms	(log (/ x y))

simplify109.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	370	792
1	1272	739
2	4798	715
3	5001	715

prune224.0ms

Filtered

132 candidates to 94 candidates (71.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	125	7	132
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	125	8	133

Merged error: 0.0b

Counts

133 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
2.8b	(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

960×	`add-sqr-sqrt`
905×	`cbrt-prod`
733×	`log-prod`
729×	`times-frac`
514×	`*-un-lft-identity`
512×	`add-cube-cbrt`
337×	`associate-l`
336×	`swap-sqr` `associate-r`
224×	`unswap-sqr`
57×	`log-div`
56×	`*-commutative`
29×	`associate-/l*`
27×	`associate-/r*`
17×	`add-exp-log`
5×	`pow1` `rem-log-exp`
4×	`div-exp` `prod-exp` `add-cbrt-cube` `add-log-exp`
3×	`pow1/3` `log-rec`
2×	`clear-num`
1×	`frac-2neg` `log-pow` `div-inv`

Counts

4 → 839

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
64.0ms	(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

series682.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(cbrt x)
186.0ms	(cbrt x)
191.0ms	(cbrt x)
105.0ms	(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

simplify182.0ms

Algorithm

egg-herbie

Counts

851 → 851

Iterations

Useful iterations: 1 (57.0ms)

Iter	Nodes	Cost
0	3550	13665
1	5001	13633

prune2.3s

Filtered

851 candidates to 448 candidates (52.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	850	1	851
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	852	7	859

Merged error: 0.0b

Counts

859 → 7

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series730.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt x)
184.0ms	(cbrt x)
182.0ms	(cbrt x)
180.0ms	(cbrt x)

simplify143.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	40	156
1	81	144
2	193	136
3	692	136
4	4040	136
5	5001	136

prune240.0ms

Filtered

56 candidates to 48 candidates (85.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	56	7	63

Merged error: 0.0b

Counts

63 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
3.5b	(log (/ x (cbrt y)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
23×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`log-prod`
21×	`cbrt-prod`
18×	`times-frac`
12×	`log-div`
7×	`add-exp-log`
6×	`associate-/r*`
5×	`pow1`
4×	`add-cbrt-cube` `associate-/l*` `add-log-exp`
3×	`pow1/3`
2×	`rem-log-exp` `log-rec` `clear-num`
1×	`frac-2neg` `div-exp` `log-pow` `div-inv`

Counts

4 → 79

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
5.0ms	(log (/ x (cbrt y)))

series712.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(cbrt y)
186.0ms	(cbrt y)
193.0ms	(cbrt y)
142.0ms	(log (/ x (cbrt y)))

simplify56.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 3 (48.0ms)

Iter	Nodes	Cost
0	256	460
1	644	434
2	1863	421
3	5002	405

prune229.0ms

Filtered

91 candidates to 72 candidates (79.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	91	7	98

Merged error: 0.0b

Counts

98 → 7

regimes164.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	23
1	21	23

end0.0ms

sample797.0ms

Algorithm

intervals

Results

250.0ms	8044×	body	80	valid
202.0ms	8003×	body	80	nan

Iter	Nodes	Cost
0	13	4
1	16	4
2	23	4
3	41	4
4	64	4
5	74	4
6	86	4
7	112	4
8	190	4
9	253	4
10	358	4
11	360	4
12	361	4
13	361	4

Iter	Nodes	Cost
0	13	4
1	16	4
2	23	4
3	41	4
4	64	4
5	74	4
6	86	4
7	112	4
8	190	4
9	253	4
10	358	4
11	360	4
12	361	4
13	361	4

Iter	Nodes	Cost
0	13	4
1	16	4
2	23	4
3	41	4
4	64	4
5	74	4
6	86	4
7	112	4
8	190	4
9	253	4
10	358	4
11	360	4
12	361	4
13	361	4