Details

sample24.0ms

Algorithm

intervals

Results

8.0ms	247×	body	80	valid
2.0ms	16×	body	640	valid
1.0ms	12×	body	320	valid
1.0ms	4×	body	1280	valid
1.0ms	9×	body	160	valid

simplify72.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	6
1	45	6
2	111	6
3	288	6
4	714	6
5	1493	6
6	3393	6
7	5002	6

prune2.0ms

Filtered

1 candidates to 0 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: 24.0b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) (- z t))
2.5b	(+ x (/ (* (- y x) (- z t)) (- a t)))
16.1b	(/ (* (- y x) (- z t)) (- a t))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

116×	`add-sqr-sqrt`
104×	`*-un-lft-identity`
80×	`times-frac`
40×	`add-cube-cbrt`
35×	`associate-r` `associate-l`
31×	`distribute-lft-out--` `difference-of-squares`
16×	`associate-/l*`
13×	`flip3--` `flip--`
10×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `associate-/l/`
7×	`*-commutative` `unswap-sqr`
5×	`pow1` `associate-/r*` `add-log-exp`
4×	`associate-r/` `associate-l/`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `flip-+` `div-inv` `distribute-lft-out`

Counts

3 → 171

Calls

3 calls:

9.0ms	(* (- y x) (- z t))
31.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
17.0ms	(/ (* (- y x) (- z t)) (- a t))

series320.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(* (- y x) (- z t))
161.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
119.0ms	(/ (* (- y x) (- z t)) (- a t))

simplify85.0ms

Algorithm

egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 1 (20.0ms)

Iter	Nodes	Cost
0	727	1523
1	3252	1474
2	5001	1474

prune303.0ms

Filtered

180 candidates to 121 candidates (32.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	171	9	180
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	172	9	181

Merged error: 5.1b

Counts

181 → 9

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.4b	(* (- y x) (/ (- z t) (- a t)))
2.5b	(+ x (* (- y x) (/ (- z t) (- a t))))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

101×	`*-un-lft-identity`
96×	`add-sqr-sqrt`
51×	`times-frac`
33×	`add-cube-cbrt`
31×	`associate-r` `distribute-lft-out--`
30×	`frac-times`
29×	`difference-of-squares`
22×	`flip3--` `flip--` `associate-/l*`
20×	`associate-/r*`
15×	`associate-*r/`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l/`
7×	`associate-l`
5×	`pow1` `clear-num` `add-log-exp`
4×	`frac-2neg` `associate-/r/`
3×	`un-div-inv` `distribute-lft-out`
2×	`cbrt-undiv` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`+-commutative` `flip3-+` `div-sub` `pow-prod-down` `sum-log` `*-commutative` `flip-+`

Counts

3 → 167

Calls

3 calls:

8.0ms	(/ (- z t) (- a t))
21.0ms	(* (- y x) (/ (- z t) (- a t)))
23.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

series338.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(/ (- z t) (- a t))
123.0ms	(* (- y x) (/ (- z t) (- a t)))
164.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

simplify96.0ms

Algorithm

egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 1 (20.0ms)

Iter	Nodes	Cost
0	632	1308
1	3250	1259
2	5001	1259

prune302.0ms

Filtered

176 candidates to 114 candidates (35.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	171	5	176
Fresh	3	5	8
Picked	0	1	1
Done	0	0	0
Total	174	11	185

Merged error: 5.1b

Counts

185 → 11

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
1.8b	(/ (- y x) (/ (- a t) (- z t)))
2.5b	(+ x (/ (- y x) (/ (- a t) (- z t))))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

330×	`times-frac`
329×	`*-un-lft-identity`
327×	`add-sqr-sqrt`
115×	`add-cube-cbrt`
106×	`distribute-lft-out--` `difference-of-squares`
41×	`associate-/r*`
29×	`associate-/r/`
15×	`associate-/l*`
10×	`add-exp-log` `flip3--` `add-cbrt-cube` `flip--`
8×	`div-inv`
6×	`associate-/l/`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `frac-2neg` `div-sub` `clear-num`
1×	`+-commutative` `associate-+r-` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 288

Calls

3 calls:

8.0ms	(/ (- a t) (- z t))
18.0ms	(/ (- y x) (/ (- a t) (- z t)))
50.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))

series435.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(/ (- a t) (- z t))
218.0ms	(/ (- y x) (/ (- a t) (- z t)))
162.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))

simplify117.0ms

Algorithm

egg-herbie

Counts

297 → 297

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1070	3114
1	4394	3045
2	5001	3045

prune486.0ms

Filtered

297 candidates to 180 candidates (39.4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	293	4	297
Fresh	3	6	9
Picked	1	0	1
Done	0	1	1
Total	297	11	308

Merged error: 4.9b

Counts

308 → 11

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ t (- z t))
0.0b	(/ a (- z t))
1.8b	(/ (- y x) (- (/ a (- z t)) (/ t (- z t))))
2.5b	(+ x (/ (- y x) (- (/ a (- z t)) (/ t (- z t)))))

rewrite181.0ms

Algorithm

rewrite-expression-head

Rules

379×	`*-un-lft-identity`
305×	`add-sqr-sqrt`
228×	`times-frac`
164×	`associate-/r/`
156×	`associate-/r*`
127×	`distribute-lft-out--`
121×	`frac-sub`
107×	`add-cube-cbrt`
87×	`difference-of-squares`
77×	`associate-/l*`
27×	`frac-2neg`
25×	`clear-num`
18×	`distribute-rgt-out--`
16×	`flip3--` `flip--`
15×	`div-inv`
13×	`sub-div`
10×	`add-exp-log` `add-cbrt-cube`
6×	`add-log-exp`
4×	`pow1`
3×	`cbrt-undiv` `div-exp`
2×	`div-sub` `associate-/l/`
1×	`+-commutative` `associate-+r-` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

4 → 351

Calls

4 calls:

5.0ms	(/ t (- z t))
5.0ms	(/ a (- z t))
51.0ms	(/ (- y x) (- (/ a (- z t)) (/ t (- z t))))
89.0ms	(+ x (/ (- y x) (- (/ a (- z t)) (/ t (- z t)))))

series395.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(/ t (- z t))
34.0ms	(/ a (- z t))
135.0ms	(/ (- y x) (- (/ a (- z t)) (/ t (- z t))))
179.0ms	(+ x (/ (- y x) (- (/ a (- z t)) (/ t (- z t)))))

simplify83.0ms

Algorithm

egg-herbie

Counts

363 → 363

Iterations

Useful iterations: 1 (38.0ms)

Iter	Nodes	Cost
0	1790	3816
1	5002	3771

prune585.0ms

Filtered

363 candidates to 222 candidates (38.8%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	360	3	363
Fresh	3	6	9
Picked	0	1	1
Done	0	1	1
Total	363	11	374

Merged error: 4.9b

Counts

374 → 11

regimes310.0ms

Accuracy

44.9% (3.9b remaining)

Error of 7.7b against oracle of 3.9b and baseline of 10.9b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	24
1	36	24

end0.0ms

sample678.0ms

Algorithm

intervals

Results

261.0ms	7874×	body	80	valid
53.0ms	460×	body	640	valid
35.0ms	399×	body	320	valid
32.0ms	217×	body	1280	valid
15.0ms	259×	body	160	valid
2.0ms	9×	body	2560	valid