Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

340×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	3
1	28	3
2	46	3
3	47	3
4	47	3

prune2.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 0.3b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (* (* x 3.0) y) y)
0.2b	(* (* x 3.0) y)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

52×	`associate-l`
35×	`add-sqr-sqrt`
16×	`pow1` `add-exp-log` `add-cbrt-cube`
15×	`associate-r`
14×	`unswap-sqr`
12×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`*-commutative`
2×	`add-log-exp`

Counts

2 → 76

Calls

2 calls:

12.0ms	(* (* (* x 3.0) y) y)
10.0ms	(* (* x 3.0) y)

series57.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(* (* (* x 3.0) y) y)
22.0ms	(* (* x 3.0) y)

simplify48.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	253	336
1	1191	281
2	5001	281

prune103.0ms

Filtered

82 candidates to 56 candidates (31.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	75	7	82
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	75	8	83

Merged error: 0.0b

Counts

83 → 8

localize4.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (* x (* 3.0 y)) y)
0.3b	(* x (* 3.0 y))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
34×	`associate-l`
33×	`associate-r`
16×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`unswap-sqr`
12×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`*-commutative`
2×	`add-log-exp`

Counts

2 → 76

Calls

2 calls:

12.0ms	(* (* x (* 3.0 y)) y)
8.0ms	(* x (* 3.0 y))

series59.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(* (* x (* 3.0 y)) y)
21.0ms	(* x (* 3.0 y))

simplify48.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	266	332
1	1391	289
2	5002	283

prune92.0ms

Filtered

82 candidates to 52 candidates (36.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	80	2	82
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	82	8	90

Merged error: 0.0b

Counts

90 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (* (cbrt 3.0) (cbrt 3.0)))
0.2b	(* (* (* x (* (cbrt 3.0) (cbrt 3.0))) (* (cbrt 3.0) y)) y)
0.3b	(* (* x (* (cbrt 3.0) (cbrt 3.0))) (* (cbrt 3.0) y))
0.4b	(* (cbrt 3.0) y)

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

540×	`add-sqr-sqrt`
355×	`unswap-sqr`
228×	`associate-l`
162×	`cbrt-prod`
151×	`add-cbrt-cube`
144×	`cbrt-unprod`
143×	`associate-r`
61×	`pow1` `add-exp-log`
49×	`add-cube-cbrt` `*-un-lft-identity`
42×	`swap-sqr`
41×	`pow-prod-down` `prod-exp`
24×	`*-commutative`
4×	`add-log-exp`

Counts

4 → 377

Calls

4 calls:

13.0ms	(* x (* (cbrt 3.0) (cbrt 3.0)))
50.0ms	(* (* (* x (* (cbrt 3.0) (cbrt 3.0))) (* (cbrt 3.0) y)) y)
32.0ms	(* (* x (* (cbrt 3.0) (cbrt 3.0))) (* (cbrt 3.0) y))
4.0ms	(* (cbrt 3.0) y)

series326.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* x (* (cbrt 3.0) (cbrt 3.0)))
98.0ms	(* (* (* x (* (cbrt 3.0) (cbrt 3.0))) (* (cbrt 3.0) y)) y)
91.0ms	(* (* x (* (cbrt 3.0) (cbrt 3.0))) (* (cbrt 3.0) y))
60.0ms	(* (cbrt 3.0) y)

simplify63.0ms

Algorithm

egg-herbie

Counts

389 → 389

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1124	3822
1	5002	3276

prune563.0ms

Filtered

389 candidates to 238 candidates (38.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	387	2	389
Fresh	1	4	5
Picked	1	0	1
Done	0	2	2
Total	389	8	397

Merged error: 0b

Counts

397 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (* x (pow (sqrt (cbrt 3.0)) 3)) (sqrt (cbrt 3.0))) (* (cbrt 3.0) y))
0.4b	(* (cbrt 3.0) y)
0.4b	(* x (pow (sqrt (cbrt 3.0)) 3))
1.0b	(pow (sqrt (cbrt 3.0)) 3)

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

346×	`add-sqr-sqrt`
241×	`unswap-sqr`
104×	`associate-l`
100×	`sqrt-prod`
77×	`cbrt-prod`
69×	`unpow-prod-down`
59×	`associate-r`
49×	`add-exp-log`
40×	`add-cbrt-cube`
33×	`prod-exp`
31×	`pow1`
30×	`add-cube-cbrt` `*-un-lft-identity`
27×	`cbrt-unprod`
17×	`pow-prod-down` `sqr-pow`
6×	`*-commutative`
4×	`pow-to-exp` `pow-pow` `pow-exp` `add-log-exp`
3×	`pow-unpow` `unpow3`
2×	`sqrt-pow1`
1×	`pow1/2` `pow1/3` `sqrt-pow2` `rem-cube-cbrt`

Counts

4 → 252

Calls

4 calls:

45.0ms	(* (* (* x (pow (sqrt (cbrt 3.0)) 3)) (sqrt (cbrt 3.0))) (* (cbrt 3.0) y))
4.0ms	(* (cbrt 3.0) y)
9.0ms	(* x (pow (sqrt (cbrt 3.0)) 3))
3.0ms	(pow (sqrt (cbrt 3.0)) 3)

series252.0ms

Counts

4 → 10

Calls

4 calls:

79.0ms	(* (* (* x (pow (sqrt (cbrt 3.0)) 3)) (sqrt (cbrt 3.0))) (* (cbrt 3.0) y))
43.0ms	(* (cbrt 3.0) y)
130.0ms	(* x (pow (sqrt (cbrt 3.0)) 3))
0.0ms	(pow (sqrt (cbrt 3.0)) 3)

simplify57.0ms

Algorithm

egg-herbie

Counts

262 → 262

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	882	3198
1	5001	2737

prune467.0ms

Filtered

262 candidates to 163 candidates (37.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	261	1	262
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	262	8	270

Merged error: 0b

Counts

270 → 8

regimes97.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	3
1	9	3

end0.0ms

sample360.0ms

Algorithm

intervals

Results

198.0ms

10613×

body

valid