Details

sample41.0ms

Algorithm

intervals

Results

13.0ms	32×	body	1280	valid
10.0ms	182×	body	80	valid
6.0ms	25×	body	640	valid
2.0ms	10×	body	320	valid
1.0ms	7×	body	160	valid

simplify25.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	5
1	28	5
2	41	5
3	57	5
4	68	5
5	86	5
6	131	5
7	214	5
8	272	5
9	296	5
10	328	5
11	396	5
12	396	5

prune3.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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 2 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

65×	`*-un-lft-identity`
48×	`prod-diff`
44×	`add-sqr-sqrt`
29×	`add-cube-cbrt`
17×	`associate-l`
15×	`associate-r` `distribute-lft-out`
7×	`add-log-exp`
6×	`unswap-sqr`
5×	`*-commutative`
4×	`pow1` `add-exp-log` `fma-neg` `add-cbrt-cube` `distribute-lft-out--`
2×	`expm1-log1p-u` `diff-log` `associate--l+` `log1p-expm1-u` `difference-of-squares`
1×	`+-commutative` `sub-neg` `flip3--` `pow-prod-down` `prod-exp` `sum-log` `flip--` `cbrt-unprod`

Counts

2 → 95

Calls

2 calls:

16.0ms	(- (+ x (cos y)) (* z (sin y)))
4.0ms	(* z (sin y))

series90.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(- (+ x (cos y)) (* z (sin y)))
39.0ms	(* z (sin y))

simplify47.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	349	1376
1	1140	920
2	5001	869

prune112.0ms

Filtered

101 candidates to 42 candidates (58.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	97	4	101
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	97	5	102

Merged error: 0.0b

Counts

102 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
8.2b	(cbrt (* z (sin y)))
8.2b	(cbrt (* z (sin y)))
8.2b	(cbrt (* z (sin y)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

100×	`cbrt-prod`
67×	`add-sqr-sqrt`
38×	`associate-l`
36×	`associate-r`
33×	`*-un-lft-identity`
29×	`add-cube-cbrt`
22×	`unswap-sqr`
17×	`swap-sqr`
11×	`pow1`
9×	`pow1/3`
8×	`*-commutative` `add-cbrt-cube`
6×	`add-exp-log`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp`

Counts

4 → 145

Calls

4 calls:

18.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
4.0ms	(cbrt (* z (sin y)))
4.0ms	(cbrt (* z (sin y)))
4.0ms	(cbrt (* z (sin y)))

series573.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
143.0ms	(cbrt (* z (sin y)))
132.0ms	(cbrt (* z (sin y)))
139.0ms	(cbrt (* z (sin y)))

simplify46.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	281	1286
1	1003	1206
2	5001	1107

prune414.0ms

Filtered

157 candidates to 117 candidates (25.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	152	5	157
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	153	9	162

Merged error: 0.0b

Counts

162 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt (sin y))
8.2b	(cbrt (* z (sin y)))
8.2b	(cbrt (* z (sin y)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
16×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-r` `associate-l`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `unswap-sqr`

Counts

4 → 70

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt (sin y))
4.0ms	(cbrt (* z (sin y)))
4.0ms	(cbrt (* z (sin y)))

series670.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt z)
237.0ms	(cbrt (sin y))
122.0ms	(cbrt (* z (sin y)))
132.0ms	(cbrt (* z (sin y)))

simplify50.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 3 (43.0ms)

Iter	Nodes	Cost
0	187	422
1	459	400
2	1564	378
3	5001	364

prune272.0ms

Filtered

82 candidates to 67 candidates (18.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	80	2	82
Fresh	3	4	7
Picked	0	1	1
Done	0	1	1
Total	83	8	91

Merged error: 0.0b

Counts

91 → 8

localize23.0ms

Local error

Found 4 expressions with local error:

8.2b	(cbrt (* z (sin y)))
8.2b	(cbrt (* z (sin y)))
8.2b	(cbrt (* z (sin y)))
8.2b	(cbrt (* z (sin y)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

48×	`cbrt-prod`
24×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`associate-r` `associate-l`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `*-commutative` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

4 → 88

Calls

4 calls:

4.0ms	(cbrt (* z (sin y)))
4.0ms	(cbrt (* z (sin y)))
4.0ms	(cbrt (* z (sin y)))
4.0ms	(cbrt (* z (sin y)))

series507.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(cbrt (* z (sin y)))
132.0ms	(cbrt (* z (sin y)))
123.0ms	(cbrt (* z (sin y)))
127.0ms	(cbrt (* z (sin y)))

simplify127.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 3 (27.0ms)

Iter	Nodes	Cost
0	113	624
1	259	596
2	823	560
3	3762	536
4	5002	536

prune367.0ms

Filtered

100 candidates to 80 candidates (20.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	1	4	5
Picked	0	1	1
Done	1	1	2
Total	101	7	108

Merged error: 0b

Counts

108 → 7

regimes146.0ms

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

sample1.2s

Algorithm

intervals

Results

404.0ms	956×	body	1280	valid
293.0ms	5586×	body	80	valid
219.0ms	849×	body	640	valid
66.0ms	394×	body	320	valid
25.0ms	214×	body	160	valid
1.0ms	1×	body	2560	valid

Iter	Nodes	Cost
0	14	5
1	28	5
2	41	5
3	57	5
4	68	5
5	86	5
6	131	5
7	214	5
8	272	5
9	296	5
10	328	5
11	396	5
12	396	5

Iter	Nodes	Cost
0	14	5
1	28	5
2	41	5
3	57	5
4	68	5
5	86	5
6	131	5
7	214	5
8	272	5
9	296	5
10	328	5
11	396	5
12	396	5

Iter	Nodes	Cost
0	14	5
1	28	5
2	41	5
3	57	5
4	68	5
5	86	5
6	131	5
7	214	5
8	272	5
9	296	5
10	328	5
11	396	5
12	396	5