Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

314×

body

valid

simplify70.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 13.3b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

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:

9.0ms	(* x (- y z))
7.0ms	(/ (* x (- y z)) y)

series84.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(* x (- y z))
46.0ms	(/ (* x (- y z)) y)

simplify36.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 1 (8.0ms)

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

prune80.0ms

Filtered

55 candidates to 35 candidates (63.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	50	5	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	50	6	56

Merged error: 0.0b

Counts

56 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- y z))
3.8b	(/ x (/ y (- y z)))

rewrite20.0ms

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

series90.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(/ y (- y z))
49.0ms	(/ x (/ y (- y z)))

simplify64.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (48.0ms)

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

prune242.0ms

Filtered

145 candidates to 108 candidates (74.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	142	3	145
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	145	6	151

Merged error: 0b

Counts

151 → 6

localize7.0ms

Local error

Found 1 expressions with local error:

3.8b	(* x (/ (- y z) y))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
19×	`associate-r`
17×	`*-un-lft-identity`
16×	`times-frac`
11×	`add-cube-cbrt`
6×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `associate-l` `distribute-lft-out--` `difference-of-squares`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 38

Calls

1 calls:

9.0ms

(* x (/ (- y z) y))

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

(* x (/ (- y z) y))

simplify104.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	196	200
1	902	179
2	4213	179
3	5001	179

prune62.0ms

Filtered

41 candidates to 27 candidates (65.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	41	6	47

Merged error: 0b

Counts

47 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (- y z))
0.2b	(/ 1 (/ (/ y (- y z)) x))
3.8b	(/ (/ y (- y z)) x)

rewrite68.0ms

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:

6.0ms	(/ y (- y z))
21.0ms	(/ 1 (/ (/ y (- y z)) x))
10.0ms	(/ (/ y (- y z)) x)

series159.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(/ y (- y z))
45.0ms	(/ 1 (/ (/ y (- y z)) x))
71.0ms	(/ (/ y (- y z)) x)

simplify85.0ms

Algorithm

egg-herbie

Counts

444 → 444

Iterations

Useful iterations: 1 (36.0ms)

Iter	Nodes	Cost
0	1404	4470
1	5001	3997

prune665.0ms

Filtered

444 candidates to 282 candidates (63.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	444	0	444
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	444	6	450

Merged error: 0b

Counts

450 → 6

regimes138.0ms

Accuracy

42.5% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 3.3b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	22
1	28	22

end0.0ms

sample435.0ms

Algorithm

intervals

Results

232.0ms

9588×

body

valid

Details

sample17.0ms

simplify70.0ms

prune2.0ms

localize5.0ms

rewrite18.0ms

series84.0ms

simplify36.0ms

prune80.0ms

localize5.0ms

rewrite20.0ms

series90.0ms

simplify64.0ms

prune242.0ms

localize7.0ms

rewrite11.0ms

series47.0ms

simplify104.0ms

prune62.0ms

localize7.0ms

rewrite68.0ms

series159.0ms

simplify85.0ms

prune665.0ms

regimes138.0ms

bsearch1.0ms

simplify2.0ms

end0.0ms

sample435.0ms

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