Details

sample50.0ms

Algorithm

intervals

Results

17.0ms	43×	body	1280	valid
8.0ms	32×	body	640	valid
7.0ms	134×	body	80	valid
6.0ms	33×	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

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

rewrite17.0ms

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)))
7.0ms	(* x (cos y))
4.0ms	(* z (sin y))

series139.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(+ (* x (cos y)) (* z (sin y)))
35.0ms	(* x (cos y))
37.0ms	(* z (sin y))

simplify72.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 1 (6.0ms)

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

prune144.0ms

Filtered

56 candidates to 39 candidates (69.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	45	11	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	11	57

Merged error: 0.0b

Counts

57 → 11

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

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))
1.0ms	(cbrt (cos y))

series446.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
99.0ms	(cbrt (cos y))
96.0ms	(cbrt (cos y))
96.0ms	(cbrt (cos y))

simplify105.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (99.0ms)

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

prune248.0ms

Filtered

85 candidates to 60 candidates (70.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	2	8	10
Picked	0	1	1
Done	0	0	0
Total	86	10	96

Merged error: 0.0b

Counts

96 → 10

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (cos y))
0.3b	(cbrt (cbrt (cos y)))
0.3b	(cbrt (cbrt (cos y)))
0.3b	(cbrt (cbrt (cos y)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 53

Calls

4 calls:

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

series387.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(cbrt (cos y))
97.0ms	(cbrt (cbrt (cos y)))
97.0ms	(cbrt (cbrt (cos y)))
96.0ms	(cbrt (cbrt (cos y)))

simplify175.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 4 (170.0ms)

Iter	Nodes	Cost
0	77	352
1	207	326
2	663	318
3	3549	318
4	5002	308

prune254.0ms

Filtered

65 candidates to 52 candidates (80.0%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	65	10	75

Merged error: 0.0b

Counts

75 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
7.1b	(cbrt (* z (sin y)))
7.1b	(cbrt (* z (sin y)))
7.1b	(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)))

series509.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
118.0ms	(cbrt (* z (sin y)))
118.0ms	(cbrt (* z (sin y)))
123.0ms	(cbrt (* z (sin y)))

simplify91.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (85.0ms)

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

prune216.0ms

Filtered

70 candidates to 53 candidates (75.7%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	1	6	7
Picked	0	1	1
Done	0	2	2
Total	69	11	80

Merged error: 0.0b

Counts

80 → 11

regimes127.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

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

629.0ms	1502×	body	1280	valid
326.0ms	1265×	body	640	valid
322.0ms	647×	body	320	valid
232.0ms	4277×	body	80	valid
37.0ms	309×	body	160	valid