Details

sample39.0ms

Algorithm

intervals

Results

10.0ms	26×	body	1280	valid
9.0ms	179×	body	80	valid
6.0ms	25×	body	640	valid
3.0ms	17×	body	320	valid
1.0ms	9×	body	160	valid

simplify22.0ms

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)) (* z (sin y)))
0.0b	(+ x (cos 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:

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

series117.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(- (+ x (cos y)) (* z (sin y)))
24.0ms	(+ x (cos y))
41.0ms	(* z (sin y))

simplify71.0ms

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

prune141.0ms

Filtered

53 candidates to 37 candidates (69.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	45	8	53
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	8	54

Merged error: 0.0b

Counts

54 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite11.0ms

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:

5.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series758.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(* (cbrt z) (cbrt z))
175.0ms	(cbrt z)
180.0ms	(cbrt z)
207.0ms	(cbrt z)

simplify87.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (81.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune225.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	84	9	93

Merged error: 0.0b

Counts

93 → 9

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt (* (cbrt z) (cbrt z)))
0.6b	(cbrt (* (cbrt z) (cbrt z)))
0.6b	(cbrt (* (cbrt z) (cbrt z)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 38

Calls

4 calls:

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

series995.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt z)
261.0ms	(cbrt (* (cbrt z) (cbrt z)))
267.0ms	(cbrt (* (cbrt z) (cbrt z)))
289.0ms	(cbrt (* (cbrt z) (cbrt z)))

simplify81.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 4 (77.0ms)

Iter	Nodes	Cost
0	78	228
1	168	198
2	559	184
3	2334	184
4	5003	183

prune212.0ms

Filtered

50 candidates to 48 candidates (96.0%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	50	9	59

Merged error: 0.0b

Counts

59 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

17.0ms	(* (cbrt (+ x (cos y))) (cbrt (+ x (cos y))))
5.0ms	(cbrt (+ x (cos y)))
5.0ms	(cbrt (+ x (cos y)))
5.0ms	(cbrt (+ x (cos y)))

series310.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (cbrt (+ x (cos y))) (cbrt (+ x (cos y))))
74.0ms	(cbrt (+ x (cos y)))
73.0ms	(cbrt (+ x (cos y)))
101.0ms	(cbrt (+ x (cos y)))

simplify154.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (138.0ms)

Iter	Nodes	Cost
0	284	987
1	972	936
2	4644	860
3	5001	855

prune277.0ms

Filtered

107 candidates to 75 candidates (70.1%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	107	9	116

Merged error: 0.0b

Counts

116 → 9

regimes154.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	10
1	14	10

end0.0ms

sample1.2s

Algorithm

intervals

Results

386.0ms	969×	body	1280	valid
303.0ms	5624×	body	80	valid
192.0ms	793×	body	640	valid
75.0ms	421×	body	320	valid
22.0ms	193×	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