Details

sample33.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
8.0ms	270×	body	80	nan

simplify28.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 16.9b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x (log (/ x y))) z)
0.3b	(* x (log (/ x y)))
16.6b	(log (/ x y))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 107

Calls

3 calls:

7.0ms	(- (* x (log (/ x y))) z)
6.0ms	(* x (log (/ x y)))
3.0ms	(log (/ x y))

series145.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(- (* x (log (/ x y))) z)
47.0ms	(* x (log (/ x y)))
33.0ms	(log (/ x y))

simplify90.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	341	712
1	1099	665
2	3805	641
3	5001	641

prune230.0ms

Filtered

116 candidates to 83 candidates (71.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	110	6	116
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	110	7	117

Merged error: 0.0b

Counts

117 → 7

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite8.0ms

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 y)
2.0ms	(cbrt y)
2.0ms	(cbrt x)
2.0ms	(cbrt x)

series690.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(cbrt y)
172.0ms	(cbrt y)
175.0ms	(cbrt x)
169.0ms	(cbrt x)

simplify56.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	69	156
1	145	144
2	346	136
3	1277	136
4	5001	136

prune180.0ms

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

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
6.5b	(log (/ (cbrt x) y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

22×	`log-prod`
20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`cbrt-prod` `times-frac`
7×	`add-exp-log`
5×	`pow1`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow1/3`
2×	`rem-log-exp`
1×	`log-div` `div-exp` `log-pow` `div-inv`

Counts

4 → 66

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
3.0ms	(log (/ (cbrt x) y))

series655.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(cbrt x)
177.0ms	(cbrt x)
170.0ms	(cbrt x)
118.0ms	(log (/ (cbrt x) y))

simplify112.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (31.0ms)

Iter	Nodes	Cost
0	196	378
1	473	357
2	1242	345
3	4294	336
4	5002	336

prune216.0ms

Filtered

78 candidates to 63 candidates (80.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	78	7	85

Merged error: 0.0b

Counts

85 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(+ (* x (log (/ 1 (* (cbrt y) (cbrt y))))) (* x (log (/ x (cbrt y)))))
0.6b	(* (cbrt y) (cbrt y))
7.0b	(log (/ x (cbrt y)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

80×	`log-prod`
64×	`add-sqr-sqrt`
60×	`times-frac`
56×	`add-cube-cbrt` `*-un-lft-identity`
46×	`cbrt-prod`
44×	`associate-+r+`
29×	`distribute-rgt-in` `distribute-lft-in`
14×	`associate-+l+`
12×	`pow1`
9×	`add-exp-log`
7×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-log-exp`
5×	`div-inv`
4×	`add-cbrt-cube` `unswap-sqr`
2×	`rem-log-exp` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`+-commutative` `pow2` `log-div` `flip3-+` `pow-plus` `div-exp` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out`

Counts

4 → 154

Calls

4 calls:

1.0ms	(cbrt y)
14.0ms	(+ (* x (log (/ 1 (* (cbrt y) (cbrt y))))) (* x (log (/ x (cbrt y)))))
5.0ms	(* (cbrt y) (cbrt y))
3.0ms	(log (/ x (cbrt y)))

series786.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(cbrt y)
287.0ms	(+ (* x (log (/ 1 (* (cbrt y) (cbrt y))))) (* x (log (/ x (cbrt y)))))
194.0ms	(* (cbrt y) (cbrt y))
132.0ms	(log (/ x (cbrt y)))

simplify65.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	685	1409
1	2105	1203
2	5001	1148

prune467.0ms

Filtered

166 candidates to 130 candidates (78.3%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	166	0	166
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	166	7	173

Merged error: 0.0b

Counts

173 → 7

regimes171.0ms

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	17	13
1	17	13

end0.0ms

sample920.0ms

Algorithm

intervals

Results

316.0ms	8035×	body	80	valid
257.0ms	7889×	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