Details

sample29.0ms

Algorithm

intervals

Results

12.0ms

269×

body

valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	3
1	17	3
2	21	3
3	21	3

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: 2.4b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

2.4b	(/ x (- y (* z t)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
21×	`times-frac`
13×	`add-cube-cbrt`
8×	`distribute-lft-out--` `difference-of-squares`
7×	`associate-/r*`
4×	`associate-l` `unswap-sqr`
3×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
2×	`associate-/r/`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 47

Calls

1 calls:

10.0ms

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

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

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

simplify176.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 3 (66.0ms)

Iter	Nodes	Cost
0	169	313
1	492	298
2	1518	295
3	4802	294
4	5001	294

prune136.0ms

Filtered

50 candidates to 35 candidates (70.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	44	6	50
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	7	51

Merged error: 2.1b

Counts

51 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.9b	(/ 1 (/ (- y (* z t)) x))
2.2b	(/ (- y (* z t)) x)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

180×	`times-frac`
171×	`add-sqr-sqrt`
159×	`*-un-lft-identity`
86×	`add-cube-cbrt`
36×	`distribute-lft-out--`
34×	`difference-of-squares`
31×	`associate-/r*`
20×	`associate-/l*`
18×	`associate-l`
17×	`unswap-sqr`
15×	`add-exp-log` `associate-/r/`
9×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv`
4×	`cbrt-undiv` `clear-num` `associate-/l/` `remove-double-div`
3×	`pow1` `frac-2neg`
2×	`expm1-log1p-u` `rec-exp` `flip3--` `1-exp` `flip--` `log1p-expm1-u` `add-log-exp`
1×	`pow-flip` `div-sub` `inv-pow`

Counts

2 → 192

Calls

2 calls:

16.0ms	(/ 1 (/ (- y (* z t)) x))
14.0ms	(/ (- y (* z t)) x)

series187.0ms

Counts

2 → 6

Calls

2 calls:

130.0ms	(/ 1 (/ (- y (* z t)) x))
57.0ms	(/ (- y (* z t)) x)

simplify97.0ms

Algorithm

egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	556	1582
1	2392	1410
2	5001	1258

prune330.0ms

Filtered

198 candidates to 86 candidates (43.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	193	5	198
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	196	9	205

Merged error: 2.1b

Counts

205 → 9

localize9.0ms

Local error

Found 2 expressions with local error:

0.9b	(/ 1 (* (- y (* z t)) (/ 1 x)))
2.4b	(* (- y (* z t)) (/ 1 x))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

147×	`add-sqr-sqrt`
139×	`times-frac`
114×	`*-un-lft-identity`
87×	`add-cube-cbrt`
65×	`associate-r`
46×	`add-exp-log` `associate-/r*`
40×	`associate-l`
36×	`frac-times`
32×	`associate-/r/`
23×	`associate-/l*`
20×	`flip3--` `flip--` `unswap-sqr`
18×	`associate-*r/` `div-exp`
16×	`prod-exp` `add-cbrt-cube`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`rec-exp` `1-exp` `clear-num`
7×	`pow1` `frac-2neg`
6×	`un-div-inv` `div-inv`
5×	`cbrt-undiv` `*-commutative`
4×	`associate-*l/` `cbrt-unprod`
2×	`expm1-log1p-u` `pow-flip` `pow-prod-down` `log1p-expm1-u` `add-log-exp`
1×	`inv-pow`

Counts

2 → 252

Calls

2 calls:

27.0ms	(/ 1 (* (- y (* z t)) (/ 1 x)))
23.0ms	(* (- y (* z t)) (/ 1 x))

series178.0ms

Counts

2 → 6

Calls

2 calls:

121.0ms	(/ 1 (* (- y (* z t)) (/ 1 x)))
57.0ms	(* (- y (* z t)) (/ 1 x))

simplify126.0ms

Algorithm

egg-herbie

Counts

258 → 258

Iterations

Useful iterations: 2 (104.0ms)

Iter	Nodes	Cost
0	800	2082
1	3836	1686
2	5002	1435

prune403.0ms

Filtered

258 candidates to 112 candidates (43.4%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	258	0	258
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	258	9	267

Merged error: 2.1b

Counts

267 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(* (cbrt x) (cbrt x))
0.9b	(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y (* z t))))
1.8b	(/ (cbrt x) (- y (* z t)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

239×	`add-sqr-sqrt`
126×	`*-un-lft-identity`
110×	`cbrt-prod`
102×	`times-frac`
69×	`add-cube-cbrt`
61×	`unswap-sqr`
60×	`associate-r`
53×	`associate-l`
46×	`add-cbrt-cube`
31×	`cbrt-unprod`
28×	`distribute-lft-out--` `difference-of-squares`
20×	`add-exp-log`
18×	`swap-sqr`
16×	`pow1` `associate-*r/`
14×	`associate-/r*`
13×	`associate-/l*`
12×	`cbrt-undiv`
7×	`pow1/3` `prod-exp`
6×	`*-commutative`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`div-exp` `clear-num`
2×	`flip3--` `frac-2neg` `pow-sqr` `un-div-inv` `pow-prod-up` `flip--` `div-inv`
1×	`pow2` `pow-plus`

Counts

4 → 281

Calls

4 calls:

1.0ms	(cbrt x)
6.0ms	(* (cbrt x) (cbrt x))
43.0ms	(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y (* z t))))
10.0ms	(/ (cbrt x) (- y (* z t)))

series577.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(cbrt x)
210.0ms	(* (cbrt x) (cbrt x))
60.0ms	(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y (* z t))))
122.0ms	(/ (cbrt x) (- y (* z t)))

simplify166.0ms

Algorithm

egg-herbie

Counts

293 → 293

Iterations

Useful iterations: 2 (137.0ms)

Iter	Nodes	Cost
0	795	2634
1	4429	2166
2	5001	2078

prune660.0ms

Filtered

293 candidates to 178 candidates (60.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	292	1	293
Fresh	1	4	5
Picked	0	1	1
Done	1	2	3
Total	294	8	302

Merged error: 2.1b

Counts

302 → 8

regimes235.0ms

Accuracy

0% (0.4b remaining)

Error of 2.6b against oracle of 2.2b and baseline of 2.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample414.0ms

Algorithm

intervals

Results

205.0ms

8386×

body

valid