Details

sample42.0ms

Algorithm

intervals

Results

10.0ms	257×	body	80	valid
7.0ms	250×	body	80	nan

simplify24.0ms

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

prune4.0ms

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: 19.5b

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)))
18.7b	(log (/ x y))

rewrite18.0ms

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:

6.0ms	(- (* x (log (/ x y))) z)
5.0ms	(* x (log (/ x y)))
2.0ms	(log (/ x y))

series152.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(- (* x (log (/ x y))) z)
50.0ms	(* x (log (/ x y)))
35.0ms	(log (/ x y))

simplify92.0ms

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

prune421.0ms

Filtered

116 candidates to 83 candidates (71.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	106	10	116
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	106	11	117

Merged error: 0.0b

Counts

117 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

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

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 y)
1.0ms	(cbrt y)

series384.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(cbrt x)
102.0ms	(cbrt x)
95.0ms	(cbrt y)
92.0ms	(cbrt y)

simplify54.0ms

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

prune301.0ms

Filtered

56 candidates to 48 candidates (85.7%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	55	1	56
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	55	12	67

Merged error: 0.0b

Counts

67 → 12

localize13.0ms

Local error

Found 4 expressions with local error:

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

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 y)
1.0ms	(cbrt y)

series382.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(cbrt x)
100.0ms	(cbrt x)
96.0ms	(cbrt y)
93.0ms	(cbrt y)

simplify55.0ms

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

prune306.0ms

Filtered

56 candidates to 48 candidates (85.7%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	55	1	56
Fresh	1	8	9
Picked	0	1	1
Done	0	2	2
Total	56	12	68

Merged error: 0b

Counts

68 → 12

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
4.9b	(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))

series420.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(cbrt x)
96.0ms	(cbrt x)
95.0ms	(cbrt x)
135.0ms	(log (/ (cbrt x) y))

simplify112.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (29.0ms)

Iter	Nodes	Cost
0	196	378
1	473	357
2	1242	345
3	4294	334
4	5001	334

prune345.0ms

Filtered

78 candidates to 63 candidates (80.8%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	8	8
Picked	0	1	1
Done	0	3	3
Total	78	12	90

Merged error: 0b

Counts

90 → 12

regimes539.0ms

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	15	12
1	15	12

end0.0ms

sample1.1s

Algorithm

intervals

Results

322.0ms	8033×	body	80	valid
245.0ms	7928×	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

Details

sample42.0ms

simplify24.0ms

prune4.0ms

localize7.0ms

rewrite18.0ms

series152.0ms

simplify92.0ms

prune421.0ms

localize13.0ms

rewrite6.0ms

series384.0ms

simplify54.0ms

prune301.0ms

localize13.0ms

rewrite6.0ms

series382.0ms

simplify55.0ms

prune306.0ms

localize15.0ms

rewrite9.0ms

series420.0ms

simplify112.0ms

prune345.0ms

regimes539.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.1s

Profiling

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