Details

sample23.0ms

Algorithm

intervals

Results

14.0ms

359×

body

valid

simplify46.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	21	5
1	65	5
2	175	5
3	475	5
4	1183	5
5	5001	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: 6.8b

Counts

2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

6.4b	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l/`
6×	`flip3--` `flip--`
4×	`cbrt-undiv` `frac-times` `div-exp` `prod-exp` `cbrt-unprod`
2×	`associate-r/` `associate-l/`
1×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `frac-2neg` `-un-lft-identity` `times-frac` `clear-num` `associate-/r` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 29

Calls

1 calls:

11.0ms

(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify52.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	309	253
1	1689	198
2	5001	198

prune59.0ms

Filtered

32 candidates to 22 candidates (68.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	28	4	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	5	33

Merged error: 0.0b

Counts

33 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1.0 x) y)
0.0b	(/ (- 3.0 x) 3.0)
0.1b	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

81×	`add-sqr-sqrt`
69×	`*-un-lft-identity`
64×	`times-frac`
41×	`add-cube-cbrt`
19×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
14×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-/l*`
6×	`cbrt-undiv` `div-exp` `associate-/r*`
5×	`pow1`
4×	`prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
3×	`add-log-exp`
2×	`flip3--` `frac-2neg` `div-sub` `clear-num` `flip--`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

3 → 138

Calls

3 calls:

5.0ms	(/ (- 1.0 x) y)
5.0ms	(/ (- 3.0 x) 3.0)
16.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series119.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ (- 1.0 x) y)
37.0ms	(/ (- 3.0 x) 3.0)
48.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify70.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	559	898
1	2363	816
2	5001	815

prune225.0ms

Filtered

147 candidates to 103 candidates (70.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	145	2	147
Fresh	0	3	3
Picked	1	0	1
Done	1	0	1
Total	147	5	152

Merged error: 0b

Counts

152 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 3.0 x) 3.0)
0.1b	(/ (/ (- 3.0 x) 3.0) y)
0.1b	(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

237×	`times-frac`
178×	`add-sqr-sqrt`
169×	`*-un-lft-identity`
117×	`add-cube-cbrt`
61×	`associate-r`
26×	`distribute-lft-out--` `difference-of-squares`
24×	`associate-/l*`
19×	`add-exp-log` `add-cbrt-cube`
10×	`div-inv`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r*`
5×	`pow1` `associate-l`
3×	`flip3--` `div-sub` `prod-exp` `flip--` `cbrt-unprod` `associate-/l/` `add-log-exp` `unswap-sqr`
2×	`frac-times` `frac-2neg` `associate-*l/` `clear-num`
1×	`associate-r/` `pow-prod-down` `-commutative`

Counts

3 → 222

Calls

3 calls:

6.0ms	(/ (- 3.0 x) 3.0)
9.0ms	(/ (/ (- 3.0 x) 3.0) y)
26.0ms	(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))

series126.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/ (- 3.0 x) 3.0)
39.0ms	(/ (/ (- 3.0 x) 3.0) y)
49.0ms	(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))

simplify114.0ms

Algorithm

egg-herbie

Counts

231 → 231

Iterations

Useful iterations: 1 (23.0ms)

Iter	Nodes	Cost
0	797	1722
1	3990	1628
2	5001	1628

prune393.0ms

Filtered

231 candidates to 170 candidates (73.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	231	0	231
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	231	5	236

Merged error: 0b

Counts

236 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1.0 x) y)
0.1b	(* (/ (- 1.0 x) y) (* (- 3.0 x) (/ 1 3.0)))
0.1b	(* (- 3.0 x) (/ 1 3.0))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt`
49×	`add-exp-log`
47×	`*-un-lft-identity`
41×	`times-frac`
31×	`add-cbrt-cube`
30×	`add-cube-cbrt`
24×	`associate-l`
22×	`prod-exp`
14×	`associate-r`
12×	`frac-times` `div-exp` `cbrt-unprod`
10×	`pow1`
9×	`associate-*r/`
8×	`distribute-lft-out--` `difference-of-squares`
7×	`cbrt-undiv` `flip3--` `associate-*l/` `flip--`
5×	`associate-/l*`
4×	`pow-prod-down`
3×	`rec-exp` `1-exp` `associate-/r*` `un-div-inv` `div-inv` `add-log-exp` `unswap-sqr`
2×	`*-commutative` `associate-/l/`
1×	`frac-2neg` `div-sub` `clear-num`

Counts

3 → 139

Calls

3 calls:

5.0ms	(/ (- 1.0 x) y)
14.0ms	(* (/ (- 1.0 x) y) (* (- 3.0 x) (/ 1 3.0)))
9.0ms	(* (- 3.0 x) (/ 1 3.0))

series126.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ (- 1.0 x) y)
46.0ms	(* (/ (- 1.0 x) y) (* (- 3.0 x) (/ 1 3.0)))
43.0ms	(* (- 3.0 x) (/ 1 3.0))

simplify73.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	640	912
1	2983	773
2	5002	761

prune198.0ms

Filtered

148 candidates to 97 candidates (65.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	148	0	148
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	148	5	153

Merged error: 0b

Counts

153 → 5

regimes90.0ms

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	10	5
1	10	5

end0.0ms

sample477.0ms

Algorithm

intervals

Results

311.0ms

10624×

body

valid