Details

sample30.0ms

Algorithm

intervals

Results

8.0ms	33×	body	1280	valid
7.0ms	171×	body	80	valid
5.0ms	31×	body	640	valid
1.0ms	13×	body	320	valid
1.0ms	8×	body	160	valid

simplify8.0ms

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

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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:

7.0ms	(* x (/ (sin y) y))
4.0ms	(/ (sin y) y)

series88.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(* x (/ (sin y) y))
32.0ms	(/ (sin y) y)

simplify36.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 1 (8.0ms)

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

prune129.0ms

Filtered

65 candidates to 48 candidates (73.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	60	5	65
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	61	5	66

Merged error: 0.0b

Counts

66 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (* (sin y) (/ 1 y)))
0.5b	(* (sin y) (/ 1 y))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log`
18×	`add-sqr-sqrt`
16×	`add-cbrt-cube`
14×	`associate-r`
13×	`prod-exp`
12×	`*-un-lft-identity`
11×	`add-cube-cbrt` `times-frac`
9×	`pow1`
7×	`cbrt-unprod`
6×	`associate-l`
4×	`associate-*r/` `div-exp` `pow-prod-down`
3×	`unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `un-div-inv` `*-commutative` `add-log-exp`
1×	`div-inv`

Counts

2 → 60

Calls

2 calls:

8.0ms	(* x (* (sin y) (/ 1 y)))
7.0ms	(* (sin y) (/ 1 y))

series83.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(* x (* (sin y) (/ 1 y)))
29.0ms	(* (sin y) (/ 1 y))

simplify40.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	282	337
1	1251	269
2	5001	252

prune100.0ms

Filtered

66 candidates to 42 candidates (63.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	66	5	71

Merged error: 0.0b

Counts

71 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(* (cbrt x) (cbrt x))

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:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
6.0ms	(* (cbrt x) (cbrt x))

series761.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(cbrt x)
184.0ms	(cbrt x)
183.0ms	(cbrt x)
202.0ms	(* (cbrt x) (cbrt x))

simplify92.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	115	288
1	479	261
2	2963	238
3	5002	235

prune183.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	84	6	90

Merged error: 0b

Counts

90 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (sin y))
9.1b	(/ (* 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)

series105.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(* x (sin y))
60.0ms	(/ (* x (sin y)) y)

simplify30.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 1 (7.0ms)

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

prune68.0ms

Filtered

45 candidates to 31 candidates (68.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	44	1	45
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	45	6	51

Merged error: 0b

Counts

51 → 6

regimes110.0ms

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	5	3

end0.0ms

sample844.0ms

Algorithm

intervals

Results

239.0ms	914×	body	1280	valid
196.0ms	5242×	body	80	valid
161.0ms	963×	body	640	valid
67.0ms	589×	body	320	valid
23.0ms	292×	body	160	valid