Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

281×

body

valid

simplify18.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	4
1	44	4
2	82	4
3	132	4
4	175	4
5	208	4
6	221	4
7	221	4

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 7.0b

Counts

2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* z (- y t)) 2.0)
0.0b	(* z (- y t))
7.0b	(/ x (/ (* z (- y t)) 2.0))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 97

Calls

3 calls:

6.0ms	(/ (* z (- y t)) 2.0)
6.0ms	(* z (- y t))
7.0ms	(/ x (/ (* z (- y t)) 2.0))

series132.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(/ (* z (- y t)) 2.0)
34.0ms	(* z (- y t))
46.0ms	(/ x (/ (* z (- y t)) 2.0))

simplify47.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	413	592
1	1829	518
2	5002	515

prune206.0ms

Filtered

106 candidates to 76 candidates (71.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	97	9	106
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	98	10	108

Merged error: 0b

Counts

108 → 10

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (/ (- y t) 2.0))
4.6b	(* (/ 1 z) (/ x (/ (- y t) 2.0)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

243×	`times-frac`
184×	`add-sqr-sqrt`
157×	`*-un-lft-identity`
112×	`add-cube-cbrt`
62×	`associate-r`
46×	`add-exp-log`
28×	`add-cbrt-cube`
21×	`div-exp` `distribute-lft-out--` `difference-of-squares`
19×	`associate-/r*`
13×	`associate-l`
12×	`cbrt-undiv` `prod-exp`
10×	`div-inv`
9×	`unswap-sqr`
6×	`cbrt-unprod`
4×	`pow1`
3×	`rec-exp` `1-exp` `associate-/l*`
2×	`associate-/r/` `add-log-exp`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

2 → 208

Calls

2 calls:

8.0ms	(/ x (/ (- y t) 2.0))
26.0ms	(* (/ 1 z) (/ x (/ (- y t) 2.0)))

series80.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(/ x (/ (- y t) 2.0))
49.0ms	(* (/ 1 z) (/ x (/ (- y t) 2.0)))

simplify102.0ms

Algorithm

egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	915	1676
1	4280	1508
2	5001	1501

prune401.0ms

Filtered

214 candidates to 150 candidates (70.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	212	2	214
Fresh	4	5	9
Picked	1	0	1
Done	0	0	0
Total	217	7	224

Merged error: 0b

Counts

224 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (/ (- y t) 2.0))
4.5b	(/ (/ x (/ (- y t) 2.0)) z)

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

711×	`times-frac`
405×	`add-sqr-sqrt` `*-un-lft-identity`
309×	`add-cube-cbrt`
65×	`associate-/l*`
48×	`distribute-lft-out--` `difference-of-squares`
22×	`associate-/r*` `div-inv`
16×	`add-exp-log` `add-cbrt-cube`
9×	`cbrt-undiv` `div-exp`
5×	`associate-/r/`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 362

Calls

2 calls:

12.0ms	(/ x (/ (- y t) 2.0))
17.0ms	(/ (/ x (/ (- y t) 2.0)) z)

series110.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ x (/ (- y t) 2.0))
78.0ms	(/ (/ x (/ (- y t) 2.0)) z)

simplify74.0ms

Algorithm

egg-herbie

Counts

368 → 368

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1359	3858
1	5002	3741

prune800.0ms

Filtered

368 candidates to 283 candidates (76.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	367	1	368
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	369	6	375

Merged error: 0b

Counts

375 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (/ (- y t) 2.0) x)
0.4b	(/ 1 (/ (/ (- y t) 2.0) x))
4.5b	(/ (/ 1 (/ (/ (- y t) 2.0) x)) z)

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

3228×	`times-frac`
1622×	`add-sqr-sqrt` `*-un-lft-identity`
1310×	`add-cube-cbrt`
210×	`associate-/l*`
156×	`distribute-lft-out--` `difference-of-squares`
75×	`div-inv`
67×	`associate-/r*`
61×	`add-exp-log`
43×	`div-exp`
31×	`add-cbrt-cube`
19×	`cbrt-undiv`
6×	`rec-exp` `1-exp`
5×	`associate-/r/`
4×	`pow1`
3×	`frac-2neg` `clear-num` `add-log-exp`
2×	`div-sub` `associate-/l/`
1×	`pow-flip` `inv-pow`

Counts

3 → 1147

Calls

3 calls:

13.0ms	(/ (/ (- y t) 2.0) x)
16.0ms	(/ 1 (/ (/ (- y t) 2.0) x))
46.0ms	(/ (/ 1 (/ (/ (- y t) 2.0) x)) z)

series240.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/ (/ (- y t) 2.0) x)
84.0ms	(/ 1 (/ (/ (- y t) 2.0) x))
118.0ms	(/ (/ 1 (/ (/ (- y t) 2.0) x)) z)

simplify220.0ms

Algorithm

egg-herbie

Counts

1156 → 1156

Iterations

Useful iterations: 1 (67.0ms)

Iter	Nodes	Cost
0	4060	15537
1	5001	14892

prune2.2s

Filtered

1156 candidates to 703 candidates (60.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	1155	1	1156
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	1156	6	1162

Merged error: 0b

Counts

1162 → 6

regimes417.0ms

Accuracy

72.9% (1.6b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 6.0b

bsearch2.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	24
1	30	24

end0.0ms

sample509.0ms

Algorithm

intervals

Results

300.0ms

8713×

body

valid