Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

320×

body

valid

simplify68.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	22	3
2	42	3
3	61	3
4	86	3
5	97	3
6	388	3
7	2917	3
8	5001	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: 13.2b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- y z))
12.6b	(/ (* x (- y z)) y)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

6.0ms	(* x (- y z))
7.0ms	(/ (* x (- y z)) y)

series84.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(* x (- y z))
50.0ms	(/ (* x (- y z)) y)

simplify37.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	219	218
1	1044	189
2	5001	189

prune86.0ms

Filtered

55 candidates to 35 candidates (63.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	48	7	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	8	56

Merged error: 0b

Counts

56 → 8

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- y z))
2.5b	(/ x (/ y (- y z)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
102×	`add-sqr-sqrt` `*-un-lft-identity`
70×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`

Counts

2 → 139

Calls

2 calls:

5.0ms	(/ y (- y z))
8.0ms	(/ x (/ y (- y z)))

series91.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(/ y (- y z))
50.0ms	(/ x (/ y (- y z)))

simplify56.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	472	1043
1	2220	1007
2	5001	1004

prune239.0ms

Filtered

145 candidates to 108 candidates (74.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	142	3	145
Fresh	3	3	6
Picked	1	0	1
Done	0	1	1
Total	146	7	153

Merged error: 0b

Counts

153 → 7

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (- y z))
0.2b	(/ 1 (/ (/ y (- y z)) x))
2.5b	(/ (/ y (- y z)) x)

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

771×	`times-frac`
439×	`add-sqr-sqrt` `*-un-lft-identity`
335×	`add-cube-cbrt`
75×	`associate-/r*`
52×	`distribute-lft-out--` `difference-of-squares`
35×	`associate-/r/`
31×	`add-exp-log`
27×	`associate-/l*`
23×	`div-inv`
19×	`div-exp` `add-cbrt-cube`
17×	`flip3--` `flip--`
10×	`cbrt-undiv`
4×	`pow1`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `add-log-exp`
1×	`pow-flip` `associate-/l/` `inv-pow`

Counts

3 → 435

Calls

3 calls:

5.0ms	(/ y (- y z))
21.0ms	(/ 1 (/ (/ y (- y z)) x))
9.0ms	(/ (/ y (- y z)) x)

series153.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(/ y (- y z))
39.0ms	(/ 1 (/ (/ y (- y z)) x))
68.0ms	(/ (/ y (- y z)) x)

simplify78.0ms

Algorithm

egg-herbie

Counts

444 → 444

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1404	4470
1	5001	3997

prune652.0ms

Filtered

444 candidates to 281 candidates (63.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	444	0	444
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	444	7	451

Merged error: 0b

Counts

451 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) y)
3.2b	(* x (/ (- y z) y))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 76

Calls

2 calls:

5.0ms	(/ (- y z) y)
9.0ms	(* x (/ (- y z) y))

series73.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(/ (- y z) y)
44.0ms	(* x (/ (- y z) y))

simplify41.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	264	396
1	1187	365
2	5001	364

prune104.0ms

Filtered

82 candidates to 55 candidates (67.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	1	3	4
Picked	1	0	1
Done	0	2	2
Total	83	6	89

Merged error: 0b

Counts

89 → 6

regimes113.0ms

Accuracy

75.3% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 3.2b

bsearch1.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 2 (1.0ms)

Iter	Nodes	Cost
0	29	27
1	32	27
2	38	18
3	41	18
4	47	18
5	58	18
6	65	18
7	66	18
8	66	18

end0.0ms

sample433.0ms

Algorithm

intervals

Results

235.0ms

9652×

body

valid

Details

sample18.0ms

simplify68.0ms

prune2.0ms

localize5.0ms

rewrite14.0ms

series84.0ms

simplify37.0ms

prune86.0ms

localize5.0ms

rewrite19.0ms

series91.0ms

simplify56.0ms

prune239.0ms

localize6.0ms

rewrite62.0ms

series153.0ms

simplify78.0ms

prune652.0ms

localize5.0ms

rewrite20.0ms

series73.0ms

simplify41.0ms

prune104.0ms

regimes113.0ms

bsearch1.0ms

simplify4.0ms

end0.0ms

sample433.0ms

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