Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

276×

body

valid

simplify18.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 6.6b

Counts

2 → 2

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* z (- y t))
6.5b	(/ x (/ (* z (- y t)) 2.0))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 74

Calls

2 calls:

16.0ms	(* z (- y t))
14.0ms	(/ x (/ (* z (- y t)) 2.0))

series79.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(* z (- y t))
44.0ms	(/ x (/ (* z (- y t)) 2.0))

simplify46.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	353	467
1	1535	417
2	5001	414

prune157.0ms

Filtered

80 candidates to 57 candidates (71.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	73	7	80
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	75	7	82

Merged error: 0.0b

Counts

82 → 7

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (/ (- y t) 2.0))
4.9b	(* (/ 1 z) (/ x (/ (- y t) 2.0)))

rewrite52.0ms

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))
31.0ms	(* (/ 1 z) (/ x (/ (- y t) 2.0)))

series81.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ x (/ (- y t) 2.0))
50.0ms	(* (/ 1 z) (/ x (/ (- y t) 2.0)))

simplify97.0ms

Algorithm

egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 2 (79.0ms)

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

prune369.0ms

Filtered

214 candidates to 149 candidates (69.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	213	1	214
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	215	6	221

Merged error: 0b

Counts

221 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (/ (- y t) 2.0))
4.8b	(/ (/ x (/ (- y t) 2.0)) z)

rewrite55.0ms

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:

8.0ms	(/ x (/ (- y t) 2.0))
17.0ms	(/ (/ x (/ (- y t) 2.0)) z)

series106.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ x (/ (- y t) 2.0))
75.0ms	(/ (/ x (/ (- y t) 2.0)) z)

simplify65.0ms

Algorithm

egg-herbie

Counts

368 → 368

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1359	3858
1	5002	3741

prune720.0ms

Filtered

368 candidates to 283 candidates (76.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	368	0	368
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	368	6	374

Merged error: 0b

Counts

374 → 6

localize6.0ms

Local error

Found 1 expressions with local error:

5.3b	(/ (/ x z) (/ (- y t) 2.0))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

637×	`times-frac`
351×	`add-sqr-sqrt` `*-un-lft-identity`
267×	`add-cube-cbrt`
42×	`distribute-lft-out--` `difference-of-squares`
35×	`div-inv`
19×	`associate-/r*`
13×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
8×	`cbrt-undiv` `div-exp`
1×	`pow1` `frac-2neg` `clear-num` `associate-/r/` `associate-/l/` `add-log-exp`

Counts

1 → 299

Calls

1 calls:

13.0ms

(/ (/ x z) (/ (- y t) 2.0))

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(/ (/ x z) (/ (- y t) 2.0))

simplify72.0ms

Algorithm

egg-herbie

Counts

302 → 302

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	1564	3639
1	5001	3548

prune612.0ms

Filtered

302 candidates to 217 candidates (71.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	302	0	302
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	302	6	308

Merged error: 0b

Counts

308 → 6

regimes145.0ms

Accuracy

41.5% (3.2b remaining)

Error of 3.3b against oracle of 0.0b and baseline of 5.6b

bsearch93.0ms

Steps

Iters	Range		Point
9	5.769002692700442e-199	1.5438579651596973e-189	5.028141571349253e-191
11	-4.3265089102687203e-91	-1.1841416056717907e-112	-1.995603766907998e-91

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	13
1	25	13

end0.0ms

sample570.0ms

Algorithm

intervals

Results

334.0ms

8665×

body

valid