Details

sample49.0ms

Algorithm

intervals

Results

14.0ms	32×	body	1280	valid
13.0ms	168×	body	80	valid
8.0ms	29×	body	640	valid
3.0ms	17×	body	320	valid
1.0ms	10×	body	160	valid

simplify25.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

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

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 51

Calls

3 calls:

10.0ms	(- (+ x (cos y)) (* z (sin y)))
3.0ms	(+ x (cos y))
4.0ms	(* z (sin y))

series114.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(- (+ x (cos y)) (* z (sin y)))
26.0ms	(+ x (cos y))
42.0ms	(* z (sin y))

simplify78.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	210	309
1	686	293
2	2755	293
3	5001	293

prune157.0ms

Filtered

60 candidates to 41 candidates (68.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	53	7	60
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	8	61

Merged error: 0.0b

Counts

61 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin 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`
8×	`add-cbrt-cube`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 76

Calls

4 calls:

7.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
2.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))

series422.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
100.0ms	(cbrt (sin y))
102.0ms	(cbrt (sin y))
102.0ms	(cbrt (sin y))

simplify98.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (92.0ms)

Iter	Nodes	Cost
0	163	490
1	595	417
2	3540	375
3	5002	369

prune283.0ms

Filtered

88 candidates to 60 candidates (68.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	85	3	88
Fresh	2	4	6
Picked	1	0	1
Done	1	0	1
Total	89	7	96

Merged error: 0.0b

Counts

96 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 44

Calls

4 calls:

2.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))

series406.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(cbrt (sin y))
105.0ms	(cbrt (sin y))
100.0ms	(cbrt (sin y))
101.0ms	(cbrt (sin y))

simplify153.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	59	244
1	124	224
2	321	216
3	984	216
4	4844	216
5	5002	216

prune246.0ms

Filtered

56 candidates to 44 candidates (78.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	55	1	56
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	57	6	63

Merged error: 0.0b

Counts

63 → 6

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 44

Calls

4 calls:

2.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))

series410.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(cbrt (sin y))
110.0ms	(cbrt (sin y))
98.0ms	(cbrt (sin y))
101.0ms	(cbrt (sin y))

simplify152.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	59	244
1	124	224
2	321	216
3	984	216
4	4844	216
5	5002	216

prune249.0ms

Filtered

56 candidates to 44 candidates (78.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	56	6	62

Merged error: 0.0b

Counts

62 → 6

regimes94.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	29
1	23	29

end0.0ms

sample1.3s

Algorithm

intervals

Results

409.0ms	918×	body	1280	valid
331.0ms	5697×	body	80	valid
215.0ms	782×	body	640	valid
71.0ms	379×	body	320	valid
34.0ms	221×	body	160	valid
7.0ms	3×	body	2560	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