Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

309×

body

valid

simplify91.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	11	3
1	22	3
2	44	3
3	70	3
4	100	3
5	117	3
6	420	3
7	2976	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

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- y z))
12.7b	(/ (* x (- y z)) y)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
18×	`add-cube-cbrt` `prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`pow1` `associate-*r/`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `expm1-log1p-u` `sub-neg` `flip3--` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `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 → 71

Calls

2 calls:

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

series94.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(* x (- y z))
56.0ms	(/ (* x (- y z)) y)

simplify60.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	299	483
1	1416	328
2	5001	328

prune117.0ms

Filtered

77 candidates to 41 candidates (53.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	72	5	77
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	72	6	78

Merged error: 0.0b

Counts

78 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- y z))
2.4b	(/ x (/ y (- y z)))

rewrite24.0ms

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` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`

Counts

2 → 143

Calls

2 calls:

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

series103.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(/ y (- y z))
56.0ms	(/ x (/ y (- y z)))

simplify76.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	479	1057
1	2239	1019
2	5002	1016

prune319.0ms

Filtered

149 candidates to 112 candidates (75.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	145	4	149
Fresh	4	0	4
Picked	1	0	1
Done	0	1	1
Total	150	5	155

Merged error: 0b

Counts

155 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- y z))
0.2b	(* y (/ 1 (- y z)))
2.4b	(/ x (* y (/ 1 (- y z))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
35×	`times-frac`
31×	`add-exp-log`
25×	`add-cube-cbrt`
21×	`associate-r`
19×	`add-cbrt-cube`
11×	`div-exp`
8×	`prod-exp`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1` `cbrt-undiv` `associate-/r` `associate-/r/` `associate-/l`
4×	`cbrt-unprod`
3×	`expm1-log1p-u` `rec-exp` `1-exp` `associate-l` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
2×	`flip3--` `frac-2neg` `associate-*r/` `clear-num` `un-div-inv` `flip--`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow`

Counts

3 → 118

Calls

3 calls:

6.0ms	(/ 1 (- y z))
11.0ms	(* y (/ 1 (- y z)))
10.0ms	(/ x (* y (/ 1 (- y z))))

series145.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(/ 1 (- y z))
47.0ms	(* y (/ 1 (- y z)))
58.0ms	(/ x (* y (/ 1 (- y z))))

simplify61.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	356	589
1	1593	497
2	5001	445

prune177.0ms

Filtered

127 candidates to 74 candidates (58.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	127	5	132

Merged error: 0b

Counts

132 → 5

localize7.0ms

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)

rewrite75.0ms

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×	`expm1-log1p-u` `rec-exp` `frac-2neg` `1-exp` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`pow-flip` `associate-/l/` `inv-pow`

Counts

3 → 441

Calls

3 calls:

10.0ms	(/ y (- y z))
19.0ms	(/ 1 (/ (/ y (- y z)) x))
10.0ms	(/ (/ y (- y z)) x)

series175.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(/ y (- y z))
45.0ms	(/ 1 (/ (/ y (- y z)) x))
79.0ms	(/ (/ y (- y z)) x)

simplify101.0ms

Algorithm

egg-herbie

Counts

450 → 450

Iterations

Useful iterations: 1 (47.0ms)

Iter	Nodes	Cost
0	1413	4478
1	5001	4011

prune846.0ms

Filtered

450 candidates to 289 candidates (64.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	450	0	450
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	450	5	455

Merged error: 0b

Counts

455 → 5

regimes118.0ms

Accuracy

88.4% (0.4b remaining)

Error of 0.4b 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	32	29
1	32	29

end0.0ms

sample414.0ms

Algorithm

intervals

Results

221.0ms

9602×

body

valid