Details

sample21.0ms

Algorithm

intervals

Results

8.0ms

355×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	11	3
2	11	3

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: 3.7b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

10.4b

(/ x (* y y))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 21

Calls

1 calls:

4.0ms

(/ x (* y y))

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

(/ x (* y y))

simplify97.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	99	86
1	320	71
2	952	71
3	4497	71
4	5001	71

prune64.0ms

Filtered

24 candidates to 16 candidates (66.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	21	3	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	4	25

Merged error: 0.0b

Counts

25 → 4

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ (/ x y) y)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
43×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`associate-/l*`
6×	`add-exp-log` `add-cbrt-cube`
5×	`div-inv`
3×	`cbrt-undiv` `div-exp` `associate-/r*`
1×	`pow1` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`

Counts

1 → 70

Calls

1 calls:

6.0ms

(/ (/ x y) y)

series23.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

(/ (/ x y) y)

simplify36.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	311	449
1	1180	415
2	5002	406

prune174.0ms

Filtered

73 candidates to 49 candidates (67.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	73	4	77

Merged error: 0b

Counts

77 → 4

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (/ 1 y) (/ x y))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
25×	`times-frac`
23×	`add-exp-log`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
13×	`associate-r` `associate-l` `add-cbrt-cube`
8×	`div-exp` `prod-exp`
6×	`unswap-sqr`
4×	`cbrt-undiv` `cbrt-unprod`
3×	`pow1`
2×	`rec-exp` `1-exp` `div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `add-log-exp`

Counts

1 → 56

Calls

1 calls:

11.0ms

(* (/ 1 y) (/ x y))

series17.0ms

Counts

1 → 3

Calls

1 calls:

17.0ms

(* (/ 1 y) (/ x y))

simplify46.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	322	297
1	1604	247
2	5001	211

prune123.0ms

Filtered

59 candidates to 35 candidates (59.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	59	4	63

Merged error: 0b

Counts

63 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ x y)) (cbrt (/ x y)))
10.0b	(cbrt (/ x y))
10.0b	(cbrt (/ x y))
10.0b	(cbrt (/ x y))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`add-cube-cbrt` `*-un-lft-identity`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 144

Calls

4 calls:

14.0ms	(* (cbrt (/ x y)) (cbrt (/ x y)))
6.0ms	(cbrt (/ x y))
2.0ms	(cbrt (/ x y))
2.0ms	(cbrt (/ x y))

series277.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(* (cbrt (/ x y)) (cbrt (/ x y)))
65.0ms	(cbrt (/ x y))
59.0ms	(cbrt (/ x y))
65.0ms	(cbrt (/ x y))

simplify80.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 3 (67.0ms)

Iter	Nodes	Cost
0	260	1109
1	902	1061
2	3525	1016
3	5001	990

prune500.0ms

Filtered

156 candidates to 119 candidates (76.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	156	4	160

Merged error: 0b

Counts

160 → 4

regimes184.0ms

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

end0.0ms

sample492.0ms

Algorithm

intervals

Results

231.0ms

10715×

body

valid

Details

sample21.0ms

simplify4.0ms

prune3.0ms

localize5.0ms

rewrite5.0ms

series28.0ms

simplify97.0ms

prune64.0ms

localize5.0ms

rewrite9.0ms

series23.0ms

simplify36.0ms

prune174.0ms

localize6.0ms

rewrite17.0ms

series17.0ms

simplify46.0ms

prune123.0ms

localize9.0ms

rewrite31.0ms

series277.0ms

simplify80.0ms

prune500.0ms

regimes184.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample492.0ms

Profiling