Details

sample46.0ms

Algorithm

intervals

Results

16.0ms	37×	body	1280	valid
10.0ms	176×	body	80	valid
6.0ms	23×	body	640	valid
3.0ms	15×	body	320	valid
1.0ms	5×	body	160	valid

simplify23.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	5
1	28	5
2	37	5
3	43	5
4	52	5
5	66	5
6	101	5
7	166	5
8	212	5
9	236	5
10	250	5
11	270	5
12	270	5

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

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
3×	`associate-r` `associate-l`
2×	`diff-log` `sum-log`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

3 → 44

Calls

3 calls:

3.0ms	(+ x (cos y))
6.0ms	(- (+ x (cos y)) (* z (sin y)))
4.0ms	(* z (sin y))

series116.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(+ x (cos y))
45.0ms	(- (+ x (cos y)) (* z (sin y)))
41.0ms	(* z (sin y))

simplify76.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	198	256
1	668	240
2	2771	240
3	5001	240

prune114.0ms

Filtered

53 candidates to 37 candidates (69.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	47	6	53
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	7	54

Merged error: 0.0b

Counts

54 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
7.0b	(cbrt (* z (sin y)))
7.0b	(cbrt (* z (sin y)))
7.0b	(cbrt (* z (sin y)))

rewrite14.0ms

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:

5.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
2.0ms	(cbrt (* z (sin y)))
2.0ms	(cbrt (* z (sin y)))
3.0ms	(cbrt (* z (sin y)))

series516.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
120.0ms	(cbrt (* z (sin y)))
125.0ms	(cbrt (* z (sin y)))
119.0ms	(cbrt (* z (sin y)))

simplify90.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (84.0ms)

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

prune198.0ms

Filtered

70 candidates to 53 candidates (75.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	71	6	77

Merged error: 0.0b

Counts

77 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.7b	(cbrt (sin y))
7.0b	(cbrt (* z (sin y)))
7.0b	(cbrt (* z (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 z)
1.0ms	(cbrt (sin y))
3.0ms	(cbrt (* z (sin y)))
3.0ms	(cbrt (* z (sin y)))

series518.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt z)
98.0ms	(cbrt (sin y))
124.0ms	(cbrt (* z (sin y)))
118.0ms	(cbrt (* z (sin y)))

simplify147.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 3 (34.0ms)

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

prune189.0ms

Filtered

52 candidates to 43 candidates (82.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	51	7	58

Merged error: 0.0b

Counts

58 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (* (* z z) (pow (sin y) 2))) (cbrt (* z (sin y))))
7.0b	(cbrt (* z (sin y)))
7.4b	(* (* z z) (pow (sin y) 2))
29.5b	(cbrt (* (* z z) (pow (sin y) 2)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log`
12×	`add-sqr-sqrt` `associate-r`
10×	`prod-exp`
9×	`add-cbrt-cube`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1`
5×	`associate-l` `unswap-sqr`
4×	`cbrt-prod` `unpow-prod-down` `pow1/3` `cbrt-unprod` `add-log-exp`
3×	`pow-prod-down`
2×	`pow-to-exp` `pow-exp` `*-commutative` `unpow2` `sqr-pow`
1×	`pow2`

Counts

4 → 69

Calls

4 calls:

6.0ms	(* (cbrt (* (* z z) (pow (sin y) 2))) (cbrt (* z (sin y))))
2.0ms	(cbrt (* z (sin y)))
7.0ms	(* (* z z) (pow (sin y) 2))
5.0ms	(cbrt (* (* z z) (pow (sin y) 2)))

series357.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (cbrt (* (* z z) (pow (sin y) 2))) (cbrt (* z (sin y))))
128.0ms	(cbrt (* z (sin y)))
51.0ms	(* (* z z) (pow (sin y) 2))
132.0ms	(cbrt (* (* z z) (pow (sin y) 2)))

simplify42.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	345	598
1	1460	523
2	5001	488

prune215.0ms

Filtered

81 candidates to 59 candidates (72.8%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	81	7	88

Merged error: 0.0b

Counts

88 → 7

regimes132.0ms

Accuracy

0% (0.0b 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	10	5
1	10	5

end0.0ms

sample1.3s

Algorithm

intervals

Results

421.0ms	976×	body	1280	valid
312.0ms	5576×	body	80	valid
228.0ms	837×	body	640	valid
71.0ms	392×	body	320	valid
33.0ms	219×	body	160	valid

Iter	Nodes	Cost
0	14	5
1	28	5
2	37	5
3	43	5
4	52	5
5	66	5
6	101	5
7	166	5
8	212	5
9	236	5
10	250	5
11	270	5
12	270	5

Iter	Nodes	Cost
0	14	5
1	28	5
2	37	5
3	43	5
4	52	5
5	66	5
6	101	5
7	166	5
8	212	5
9	236	5
10	250	5
11	270	5
12	270	5

Iter	Nodes	Cost
0	14	5
1	28	5
2	37	5
3	43	5
4	52	5
5	66	5
6	101	5
7	166	5
8	212	5
9	236	5
10	250	5
11	270	5
12	270	5