Details

sample29.0ms

Algorithm

intervals

Results

7.0ms	31×	body	1280	valid
6.0ms	167×	body	80	valid
5.0ms	31×	body	640	valid
2.0ms	22×	body	320	valid
0.0ms	5×	body	160	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	3
1	12	3
2	16	3
3	17	3
4	17	3

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

localize5.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-l` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 59

Calls

2 calls:

6.0ms	(* x (/ (sin y) y))
4.0ms	(/ (sin y) y)

series80.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(* x (/ (sin y) y))
29.0ms	(/ (sin y) y)

simplify32.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	213	320
1	988	289
2	5002	289

prune122.0ms

Filtered

65 candidates to 48 candidates (73.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	58	7	65
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	58	8	66

Merged error: 0b

Counts

66 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

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 y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series703.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(* (cbrt y) (cbrt y))
171.0ms	(cbrt y)
168.0ms	(cbrt y)
166.0ms	(cbrt y)

simplify88.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (83.0ms)

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

prune195.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	85	8	93

Merged error: 0b

Counts

93 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
5.6b	(* (/ x (* (cbrt y) (cbrt y))) (/ (sin y) (cbrt y)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
28×	`times-frac`
25×	`add-exp-log`
22×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
20×	`cbrt-prod`
18×	`add-cbrt-cube`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1` `unswap-sqr`
4×	`add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 92

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
15.0ms	(* (/ x (* (cbrt y) (cbrt y))) (/ (sin y) (cbrt y)))

series622.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(cbrt y)
173.0ms	(cbrt y)
182.0ms	(cbrt y)
86.0ms	(* (/ x (* (cbrt y) (cbrt y))) (/ (sin y) (cbrt y)))

simplify58.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	434	803
1	2350	650
2	5002	611

prune236.0ms

Filtered

104 candidates to 82 candidates (78.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	103	1	104
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	104	8	112

Merged error: 0b

Counts

112 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (sin y))
7.7b	(/ (* x (sin y)) y)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1`
3×	`times-frac` `associate-r` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 39

Calls

2 calls:

4.0ms	(* x (sin y))
5.0ms	(/ (* x (sin y)) y)

series90.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(* x (sin y))
55.0ms	(/ (* x (sin y)) y)

simplify28.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	154	189
1	799	158
2	5001	158

prune82.0ms

Filtered

45 candidates to 31 candidates (68.9%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	3	1	4
Picked	0	1	1
Done	0	3	3
Total	46	7	53

Merged error: 0b

Counts

53 → 7

regimes95.0ms

Accuracy

0% (0.1b 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	6	3
1	6	3

end0.0ms

sample830.0ms

Algorithm

intervals

Results

236.0ms	900×	body	1280	valid
199.0ms	5261×	body	80	valid
155.0ms	962×	body	640	valid
66.0ms	585×	body	320	valid
23.0ms	292×	body	160	valid