Details

sample61.0ms

Algorithm

intervals

Results

26.0ms	52×	body	1280	valid
10.0ms	38×	body	640	valid
8.0ms	132×	body	80	valid
5.0ms	25×	body	320	valid
1.0ms	9×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 0.1b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x (cos y)) (* z (sin y)))
0.1b	(* x (cos y))
0.2b	(* z (sin y))

rewrite14.0ms

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 (cos y)) (* z (sin y)))
4.0ms	(* x (cos y))
5.0ms	(* z (sin y))

series159.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(+ (* x (cos y)) (* z (sin y)))
44.0ms	(* x (cos y))
42.0ms	(* z (sin y))

simplify81.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	183	248
1	698	227
2	2213	227
3	5001	227

prune148.0ms

Filtered

56 candidates to 39 candidates (69.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	48	8	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	8	57

Merged error: 0.0b

Counts

57 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (cos y)) (cbrt (cos y)))
0.4b	(cbrt (cos y))
0.4b	(cbrt (cos y))
0.4b	(cbrt (cos y))

rewrite13.0ms

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:

6.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series522.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
120.0ms	(cbrt (cos y))
110.0ms	(cbrt (cos y))
111.0ms	(cbrt (cos y))

simplify112.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (106.0ms)

Iter	Nodes	Cost
0	122	441
1	481	389
2	3180	357
3	5001	351

prune241.0ms

Filtered

85 candidates to 60 candidates (70.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	85	8	93

Merged error: 0.0b

Counts

93 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
7.5b	(cbrt (* z (sin y)))
7.5b	(cbrt (* z (sin y)))
7.5b	(cbrt (* z (sin y)))

rewrite16.0ms

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 (* z (sin y))) (cbrt (* z (sin y))))
3.0ms	(cbrt (* z (sin y)))
3.0ms	(cbrt (* z (sin y)))
3.0ms	(cbrt (* z (sin y)))

series588.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
136.0ms	(cbrt (* z (sin y)))
144.0ms	(cbrt (* z (sin y)))
134.0ms	(cbrt (* z (sin y)))

simplify100.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (93.0ms)

Iter	Nodes	Cost
0	190	460
1	631	409
2	3021	358
3	5002	336

prune238.0ms

Filtered

70 candidates to 53 candidates (75.7%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	67	3	70
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	67	11	78

Merged error: 0.0b

Counts

78 → 11

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.7b	(cbrt (sin y))
7.5b	(cbrt (* z (sin y)))
7.5b	(cbrt (* z (sin y)))

rewrite10.0ms

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 z)
2.0ms	(cbrt (sin y))
3.0ms	(cbrt (* z (sin y)))
3.0ms	(cbrt (* z (sin y)))

series598.0ms

Counts

4 → 12

Calls

4 calls:

205.0ms	(cbrt z)
112.0ms	(cbrt (sin y))
138.0ms	(cbrt (* z (sin y)))
143.0ms	(cbrt (* z (sin y)))

simplify172.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 3 (43.0ms)

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

prune190.0ms

Filtered

52 candidates to 43 candidates (82.7%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	52	11	63

Merged error: 0.0b

Counts

63 → 11

regimes150.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	12
1	15	12

end0.0ms

sample1.7s

Algorithm

intervals

Results

656.0ms	1436×	body	1280	valid
374.0ms	1275×	body	640	valid
261.0ms	4343×	body	80	valid
122.0ms	615×	body	320	valid
44.0ms	331×	body	160	valid