Details

sample59.0ms

Algorithm

intervals

Results

23.0ms	54×	body	1280	valid
11.0ms	40×	body	640	valid
8.0ms	125×	body	80	valid
4.0ms	23×	body	320	valid
2.0ms	14×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

prune3.0ms

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: 0.2b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x (sin y)) (* z (cos y)))
0.1b	(* z (cos y))
0.1b	(* x (sin y))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
7×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
6×	`associate-r` `associate-l`
5×	`add-log-exp`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

3 → 47

Calls

3 calls:

4.0ms	(+ (* x (sin y)) (* z (cos y)))
4.0ms	(* z (cos y))
4.0ms	(* x (sin y))

series150.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(+ (* x (sin y)) (* z (cos y)))
34.0ms	(* z (cos y))
43.0ms	(* x (sin y))

simplify71.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	185	250
1	702	229
2	2218	229
3	5001	229

prune137.0ms

Filtered

56 candidates to 40 candidates (71.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	44	12	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	12	57

Merged error: 0.0b

Counts

57 → 12

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

9.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series716.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(* (cbrt x) (cbrt x))
180.0ms	(cbrt x)
171.0ms	(cbrt x)
175.0ms	(cbrt x)

simplify90.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune247.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	82	15	97

Merged error: 0.0b

Counts

97 → 15

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (sin y))) (cbrt (* x (sin y))))
5.9b	(cbrt (* x (sin y)))
5.9b	(cbrt (* x (sin y)))
5.9b	(cbrt (* x (sin y)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

6.0ms	(* (cbrt (* x (sin y))) (cbrt (* x (sin y))))
2.0ms	(cbrt (* x (sin y)))
3.0ms	(cbrt (* x (sin y)))
3.0ms	(cbrt (* x (sin y)))

series508.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(* (cbrt (* x (sin y))) (cbrt (* x (sin y))))
116.0ms	(cbrt (* x (sin y)))
117.0ms	(cbrt (* x (sin y)))
124.0ms	(cbrt (* x (sin y)))

simplify88.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	190	460
1	631	408
2	3033	348
3	5001	326

prune217.0ms

Filtered

70 candidates to 53 candidates (75.7%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	1	12	13
Picked	0	1	1
Done	0	1	1
Total	69	16	85

Merged error: 0.0b

Counts

85 → 16

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.7b	(cbrt (sin y))
5.9b	(cbrt (* x (sin y)))
5.9b	(cbrt (* x (sin y)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 40

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt (sin y))
2.0ms	(cbrt (* x (sin y)))
3.0ms	(cbrt (* x (sin y)))

series509.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(cbrt x)
102.0ms	(cbrt (sin y))
116.0ms	(cbrt (* x (sin y)))
117.0ms	(cbrt (* x (sin y)))

simplify148.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 3 (35.0ms)

Iter	Nodes	Cost
0	157	246
1	340	224
2	1079	206
3	4922	196
4	5003	196

prune166.0ms

Filtered

52 candidates to 43 candidates (82.7%)

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	0	13	13
Picked	0	1	1
Done	0	2	2
Total	51	17	68

Merged error: 0.0b

Counts

68 → 17

regimes192.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	10
1	15	10

end0.0ms

sample1.7s

Algorithm

intervals

Results

693.0ms	1557×	body	1280	valid
338.0ms	1205×	body	640	valid
257.0ms	4268×	body	80	valid
125.0ms	645×	body	320	valid
43.0ms	325×	body	160	valid