Details

sample38.0ms

Algorithm

intervals

Results

9.0ms	252×	body	80	valid
2.0ms	17×	body	320	valid
2.0ms	9×	body	1280	valid
2.0ms	11×	body	640	valid
1.0ms	9×	body	160	valid

simplify65.0ms

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

prune5.0ms

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: 25.3b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) (- z t))
1.7b	(+ x (/ (* (- y x) (- z t)) (- a t)))
19.3b	(/ (* (- y x) (- z t)) (- a t))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt` `*-un-lft-identity`
13×	`flip3--` `flip--`
10×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `associate-/l/`
7×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-r` `associate-l` `associate-/r*` `add-log-exp`
4×	`associate-r/` `associate-l/` `distribute-lft-out--` `difference-of-squares`
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` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

3 → 81

Calls

3 calls:

12.0ms	(* (- y x) (- z t))
7.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
12.0ms	(/ (* (- y x) (- z t)) (- a t))

series90.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(* (- y x) (- z t))
50.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
30.0ms	(/ (* (- y x) (- z t)) (- a t))

simplify54.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	468	583
1	2162	534
2	5003	534

prune445.0ms

Filtered

90 candidates to 67 candidates (25.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	83	7	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	84	7	91

Merged error: 4.9b

Counts

91 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
1.5b	(/ (- y x) (/ (- a t) (- z t)))
1.7b	(+ x (/ (- y x) (/ (- a t) (- z t))))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

330×	`times-frac`
323×	`*-un-lft-identity`
321×	`add-sqr-sqrt`
113×	`add-cube-cbrt`
104×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
15×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
9×	`flip3--` `flip--`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `div-sub`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `associate-+r-` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 274

Calls

3 calls:

7.0ms	(/ (- a t) (- z t))
14.0ms	(/ (- y x) (/ (- a t) (- z t)))
40.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))

series97.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(/ (- a t) (- z t))
41.0ms	(/ (- y x) (/ (- a t) (- z t)))
46.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))

simplify103.0ms

Algorithm

egg-herbie

Counts

283 → 283

Iterations

Useful iterations: 1 (22.0ms)

Iter	Nodes	Cost
0	1030	3053
1	4263	2984
2	5001	2984

prune2.1s

Filtered

283 candidates to 172 candidates (39.2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	276	7	283
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	278	12	290

Merged error: 4.8b

Counts

290 → 12

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- z t) (- a t))
0.1b	(/ 1 (/ (- z t) (- a t)))
1.5b	(/ (- y x) (/ 1 (/ (- z t) (- a t))))
1.7b	(+ x (/ (- y x) (/ 1 (/ (- z t) (- a t)))))

rewrite232.0ms

Algorithm

rewrite-expression-head

Rules

1716×	`times-frac`
1245×	`*-un-lft-identity`
1243×	`add-sqr-sqrt`
581×	`add-cube-cbrt`
331×	`distribute-lft-out--` `difference-of-squares`
134×	`associate-/r*`
54×	`associate-/r/`
36×	`add-exp-log`
31×	`div-inv`
25×	`flip3--` `flip--`
22×	`div-exp`
20×	`add-cbrt-cube`
13×	`associate-/l*`
10×	`cbrt-undiv`
6×	`add-log-exp`
5×	`pow1`
4×	`rec-exp` `1-exp` `associate-/l/`
3×	`frac-2neg` `div-sub` `clear-num`
1×	`+-commutative` `associate-+r-` `pow-flip` `flip3-+` `sum-log` `flip-+` `distribute-lft-out` `inv-pow`

Counts

4 → 830

Calls

4 calls:

7.0ms	(/ (- z t) (- a t))
12.0ms	(/ 1 (/ (- z t) (- a t)))
33.0ms	(/ (- y x) (/ 1 (/ (- z t) (- a t))))
106.0ms	(+ x (/ (- y x) (/ 1 (/ (- z t) (- a t)))))

series111.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(/ (- z t) (- a t))
16.0ms	(/ 1 (/ (- z t) (- a t)))
30.0ms	(/ (- y x) (/ 1 (/ (- z t) (- a t))))
54.0ms	(+ x (/ (- y x) (/ 1 (/ (- z t) (- a t)))))

simplify155.0ms

Algorithm

egg-herbie

Counts

842 → 842

Iterations

Useful iterations: 1 (50.0ms)

Iter	Nodes	Cost
0	2712	11554
1	5001	10668

prune11.3s

Filtered

842 candidates to 381 candidates (54.8%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	841	1	842
Fresh	1	9	10
Picked	0	1	1
Done	0	1	1
Total	842	12	854

Merged error: 4.8b

Counts

854 → 12

localize14.0ms

Local error

Found 4 expressions with local error:

1.5b	(/ (- y x) (/ (- a t) (- z t)))
1.7b	(+ x (/ (- y x) (/ (- a t) (- z t))))
1.7b	(+ x (/ (- y x) (/ (- a t) (- z t))))
1.7b	(+ x (/ (- y x) (/ (- a t) (- z t))))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

305×	`times-frac`
292×	`*-un-lft-identity`
286×	`add-sqr-sqrt`
102×	`add-cube-cbrt`
92×	`distribute-lft-out--` `difference-of-squares`
31×	`associate-/r*`
13×	`associate-/r/`
10×	`add-log-exp`
9×	`add-exp-log` `add-cbrt-cube`
7×	`flip3--` `flip--` `div-inv`
5×	`associate-/l*`
4×	`pow1` `div-sub`
3×	`cbrt-undiv` `+-commutative` `associate-+r-` `flip3-+` `div-exp` `sum-log` `flip-+` `distribute-lft-out`
2×	`associate-/l/`
1×	`frac-2neg` `clear-num`

Counts

4 → 248

Calls

4 calls:

15.0ms	(/ (- y x) (/ (- a t) (- z t)))
39.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))
37.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))
40.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))

series217.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(/ (- y x) (/ (- a t) (- z t)))
53.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))
48.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))
45.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))

simplify114.0ms

Algorithm

egg-herbie

Counts

260 → 260

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	971	2981
1	3961	2900
2	5001	2900

prune3.0s

Filtered

260 candidates to 161 candidates (38.1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	258	2	260
Fresh	0	9	9
Picked	1	0	1
Done	1	1	2
Total	260	12	272

Merged error: 4.8b

Counts

272 → 12

regimes643.0ms

Accuracy

20.9% (5.7b remaining)

Error of 9.8b against oracle of 4.1b and baseline of 11.3b

bsearch107.0ms

Steps

Iters	Range		Point
3	3.776023235880469e-213	4.820105659723104e-213	4.754850508232939e-213
12	-1.5070288184943165e-173	-2.0985862520176792e-212	-4.726160394325601e-189

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	12
1	30	12

end0.0ms

sample966.0ms

Algorithm

intervals

Results

294.0ms	7829×	body	80	valid
68.0ms	479×	body	640	valid
47.0ms	250×	body	1280	valid
41.0ms	395×	body	320	valid
20.0ms	277×	body	160	valid
3.0ms	12×	body	2560	valid

Details

sample38.0ms

simplify65.0ms

prune5.0ms

localize9.0ms

rewrite33.0ms

series90.0ms

simplify54.0ms

prune445.0ms

localize9.0ms

rewrite83.0ms

series97.0ms

simplify103.0ms

prune2.1s

localize11.0ms

rewrite232.0ms

series111.0ms

simplify155.0ms

prune11.3s

localize14.0ms

rewrite149.0ms

series217.0ms

simplify114.0ms

prune3.0s

regimes643.0ms

bsearch107.0ms

simplify1.0ms

end0.0ms

sample966.0ms

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