Details

sample28.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
6.0ms	271×	body	80	nan

simplify18.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	29	4
2	51	4
3	65	4
4	97	4
5	120	4
6	159	4
7	257	4
8	322	4
9	322	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: 0.1b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x (log y)) z)
0.0b	(- (- (* x (log y)) z) y)
0.2b	(* x (log y))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

112×	`add-sqr-sqrt`
99×	`prod-diff`
97×	`*-un-lft-identity`
69×	`add-cube-cbrt`
59×	`associate--l+`
32×	`associate-r`
30×	`associate-l`
20×	`fma-neg`
18×	`log-prod`
15×	`distribute-lft-out--`
13×	`pow1` `unswap-sqr`
11×	`difference-of-squares`
10×	`add-log-exp`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`log-pow` `*-commutative`
5×	`add-exp-log` `add-cbrt-cube`
4×	`diff-log`
3×	`expm1-log1p-u` `sub-neg` `log1p-expm1-u`
2×	`flip3--` `flip--`
1×	`associate--l-` `pow-prod-down` `prod-exp` `cbrt-unprod`

Counts

3 → 198

Calls

3 calls:

11.0ms	(- (* x (log y)) z)
16.0ms	(- (- (* x (log y)) z) y)
4.0ms	(* x (log y))

series133.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(- (* x (log y)) z)
33.0ms	(- (- (* x (log y)) z) y)
44.0ms	(* x (log y))

simplify57.0ms

Algorithm

egg-herbie

Counts

207 → 207

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	454	1620
1	1441	1047
2	5002	873

prune263.0ms

Filtered

207 candidates to 115 candidates (55.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	201	6	207
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	201	7	208

Merged error: 0.0b

Counts

208 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
8×	`add-cbrt-cube`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 84

Calls

4 calls:

6.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series738.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(* (cbrt y) (cbrt y))
181.0ms	(cbrt y)
177.0ms	(cbrt y)
182.0ms	(cbrt y)

simplify93.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 3 (87.0ms)

Iter	Nodes	Cost
0	128	331
1	526	287
2	3251	261
3	5002	258

prune231.0ms

Filtered

96 candidates to 72 candidates (75.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	94	2	96
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	96	7	103

Merged error: 0b

Counts

103 → 7

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
5.0b	(pow y 1/3)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`cbrt-prod`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
8×	`pow1/3` `add-cbrt-cube`
7×	`add-exp-log`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`unpow-prod-down` `pow-unpow`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `pow-pow` `pow-plus` `unpow1/3` `pow-exp` `prod-exp` `*-commutative` `sqr-pow`

Counts

4 → 91

Calls

4 calls:

9.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
2.0ms	(pow y 1/3)

series722.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(* (cbrt y) (cbrt y))
180.0ms	(cbrt y)
175.0ms	(cbrt y)
172.0ms	(pow y 1/3)

simplify36.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	188	331
1	856	235
2	5001	217

prune270.0ms

Filtered

103 candidates to 74 candidates (71.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	103	7	110

Merged error: 0b

Counts

110 → 7

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
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` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series716.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(cbrt y)
175.0ms	(cbrt y)
175.0ms	(cbrt y)
182.0ms	(cbrt y)

simplify126.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	42	172
1	83	160
2	195	152
3	695	152
4	4069	152
5	5001	152

prune213.0ms

Filtered

64 candidates to 56 candidates (87.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	64	7	71

Merged error: 0b

Counts

71 → 7

regimes125.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	4
1	8	4

end0.0ms

sample773.0ms

Algorithm

intervals

Results

244.0ms	8031×	body	80	valid
188.0ms	8124×	body	80	nan
1.0ms	2×	body	1280	valid