Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

273×

body

valid

simplify60.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	4
1	30	4
2	65	4
3	156	4
4	302	4
5	470	4
6	865	4
7	1243	4
8	1545	4
9	1705	4
10	1705	4

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: 9.1b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) (- t z))
9.0b	(/ x (* (- y z) (- t z)))

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

series153.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(* (- y z) (- t z))
122.0ms	(/ x (* (- y z) (- t z)))

simplify41.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	300	403
1	1371	359
2	5001	355

prune150.0ms

Filtered

69 candidates to 51 candidates (73.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	62	7	69
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	62	8	70

Merged error: 0.0b

Counts

70 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (- t z))
0.0b	(/ 1 (- y z))
1.2b	(* (/ 1 (- y z)) (/ x (- t z)))

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

series267.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(/ x (- t z))
34.0ms	(/ 1 (- y z))
205.0ms	(* (/ 1 (- y z)) (/ x (- t z)))

simplify60.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	518	909
1	2264	798
2	5002	758

prune248.0ms

Filtered

159 candidates to 97 candidates (61.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	154	5	159
Fresh	5	1	6
Picked	1	0	1
Done	0	1	1
Total	160	7	167

Merged error: 0b

Counts

167 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (- t z))
1.2b	(/ (/ x (- t z)) (- y z))

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 (- t z))
12.0ms	(/ (/ x (- t z)) (- y z))

series151.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(/ x (- t z))
123.0ms	(/ (/ x (- t z)) (- y z))

simplify65.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	636	1735
1	2304	1691
2	5001	1691

prune343.0ms

Filtered

191 candidates to 129 candidates (67.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	190	1	191
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	191	7	198

Merged error: 0b

Counts

198 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- t z) x)
0.0b	(/ 1 (- y z))
0.9b	(/ 1 (/ (- t z) x))
1.2b	(* (/ 1 (- y z)) (/ 1 (/ (- t z) x)))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

292×	`times-frac`
247×	`add-sqr-sqrt`
211×	`*-un-lft-identity`
136×	`add-cube-cbrt`
104×	`add-exp-log`
62×	`associate-r`
52×	`div-exp`
34×	`add-cbrt-cube`
32×	`distribute-lft-out--` `difference-of-squares`
28×	`prod-exp`
27×	`associate-/r*`
21×	`associate-l`
18×	`rec-exp` `1-exp`
15×	`unswap-sqr`
14×	`cbrt-undiv`
12×	`div-inv`
11×	`associate-/l*`
10×	`pow1`
6×	`associate-/r/` `cbrt-unprod`
4×	`pow-flip` `inv-pow` `add-log-exp`
3×	`flip3--` `frac-2neg` `pow-prod-down` `clear-num` `flip--`
2×	`associate-/l/`
1×	`frac-times` `div-sub` `associate-r/` `associate-l/` `un-div-inv` `*-commutative`

Counts

4 → 326

Calls

4 calls:

6.0ms	(/ (- t z) x)
8.0ms	(/ 1 (- y z))
8.0ms	(/ 1 (/ (- t z) x))
38.0ms	(* (/ 1 (- y z)) (/ 1 (/ (- t z) x)))

series677.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(/ (- t z) x)
34.0ms	(/ 1 (- y z))
62.0ms	(/ 1 (/ (- t z) x))
557.0ms	(* (/ 1 (- y z)) (/ 1 (/ (- t z) x)))

simplify105.0ms

Algorithm

egg-herbie

Counts

338 → 338

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	1101	2479
1	4859	2124
2	5001	2091

prune479.0ms

Filtered

338 candidates to 194 candidates (57.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	337	1	338
Fresh	2	2	4
Picked	0	1	1
Done	0	2	2
Total	339	6	345

Merged error: 0b

Counts

345 → 6

regimes136.0ms

Accuracy

0% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	4

end0.0ms

sample468.0ms

Algorithm

intervals

Results

251.0ms

8448×

body

valid