Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

272×

body

valid

simplify62.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	5
1	40	5
2	80	5
3	174	5
4	369	5
5	503	5
6	769	5
7	1191	5
8	1451	5
9	1606	5
10	1606	5

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: 1.2b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) (- y t))
9.9b	(/ x (* (- y z) (- y t)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 63

Calls

2 calls:

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

series84.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(* (- y z) (- y t))
58.0ms	(/ x (* (- y z) (- y t)))

simplify40.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	304	403
1	1399	360
2	5002	360

prune158.0ms

Filtered

69 candidates to 51 candidates (73.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	64	5	69
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	5	70

Merged error: 0b

Counts

70 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (- y z))
1.9b	(/ (/ x (- y z)) (- y t))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

210×	`times-frac`
176×	`add-sqr-sqrt` `*-un-lft-identity`
88×	`add-cube-cbrt`
44×	`distribute-lft-out--` `difference-of-squares`
24×	`associate-/l*`
16×	`associate-/r/`
10×	`associate-/r*`
9×	`add-exp-log` `add-cbrt-cube`
8×	`flip3--` `flip--` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 185

Calls

2 calls:

5.0ms	(/ x (- y z))
13.0ms	(/ (/ x (- y z)) (- y t))

series90.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(/ x (- y z))
62.0ms	(/ (/ x (- y z)) (- y t))

simplify68.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	640	1735
1	2317	1691
2	5001	1691

prune348.0ms

Filtered

191 candidates to 129 candidates (67.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	190	1	191
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	191	5	196

Merged error: 0b

Counts

196 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- y z) x)
0.8b	(/ 1 (/ (- y z) x))
1.9b	(/ (/ 1 (/ (- y z) x)) (- y t))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

1054×	`times-frac`
680×	`add-sqr-sqrt` `*-un-lft-identity`
414×	`add-cube-cbrt`
133×	`distribute-lft-out--` `difference-of-squares`
70×	`associate-/l*`
35×	`add-exp-log`
31×	`div-inv`
27×	`associate-/r*`
22×	`div-exp`
19×	`add-cbrt-cube`
10×	`cbrt-undiv`
9×	`associate-/r/`
4×	`pow1` `rec-exp` `1-exp`
3×	`frac-2neg` `clear-num` `associate-/l/` `add-log-exp`
2×	`flip3--` `flip--`
1×	`pow-flip` `div-sub` `inv-pow`

Counts

3 → 538

Calls

3 calls:

6.0ms	(/ (- y z) x)
8.0ms	(/ 1 (/ (- y z) x))
27.0ms	(/ (/ 1 (/ (- y z) x)) (- y t))

series214.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(/ (- y z) x)
64.0ms	(/ 1 (/ (- y z) x))
125.0ms	(/ (/ 1 (/ (- y z) x)) (- y t))

simplify100.0ms

Algorithm

egg-herbie

Counts

547 → 547

Iterations

Useful iterations: 1 (36.0ms)

Iter	Nodes	Cost
0	1763	6454
1	5001	5928

prune829.0ms

Filtered

547 candidates to 279 candidates (51.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	547	0	547
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	547	5	552

Merged error: 0b

Counts

552 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (- y t))
0.0b	(/ 1 (- y z))
1.9b	(* (/ 1 (- y z)) (/ x (- y t)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

86×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
67×	`times-frac`
41×	`add-cube-cbrt`
31×	`add-exp-log`
21×	`associate-r` `associate-l`
19×	`add-cbrt-cube`
14×	`distribute-lft-out--` `difference-of-squares`
11×	`div-exp`
10×	`associate-/r*`
8×	`prod-exp` `associate-/r/`
6×	`pow1` `cbrt-undiv` `associate-/l*` `unswap-sqr`
4×	`flip3--` `flip--` `cbrt-unprod` `div-inv`
3×	`rec-exp` `1-exp` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `pow-flip` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `inv-pow`

Counts

3 → 150

Calls

3 calls:

5.0ms	(/ x (- y t))
5.0ms	(/ 1 (- y z))
20.0ms	(* (/ 1 (- y z)) (/ x (- y t)))

series201.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ x (- y t))
34.0ms	(/ 1 (- y z))
131.0ms	(* (/ 1 (- y z)) (/ x (- y t)))

simplify60.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	522	909
1	2277	798
2	5001	758

prune449.0ms

Filtered

159 candidates to 99 candidates (62.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	158	1	159
Fresh	1	1	2
Picked	1	0	1
Done	1	1	2
Total	161	3	164

Merged error: 0b

Counts

164 → 3

regimes84.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5

end0.0ms

sample490.0ms

Algorithm

intervals

Results

276.0ms

8461×

body

valid