Details

analyze1.0s

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
26.2%	73.5%	0.2%	14

sample24.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
0.0ms	13×	body	80	invalid

simplify46.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	5
1	34	5
2	55	5
3	93	5
4	149	5
5	184	5
6	202	5
7	229	5
8	280	5
9	372	5
10	465	5
11	768	5
12	876	5
13	878	5
14	878	5

prune4.0ms

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: 0.4b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 113

Calls

3 calls:

3.0ms	(+ x (* y (/ (- z t) (- a t))))
8.0ms	(/ (- z t) (- a t))
15.0ms	(* y (/ (- z t) (- a t)))

series60.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+ x (* y (/ (- z t) (- a t))))
10.0ms	(/ (- z t) (- a t))
18.0ms	(* y (/ (- z t) (- a t)))

simplify53.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	421	747
1	1657	704
2	5001	704

prune164.0ms

Filtered

83 candidates to 122 candidates (-47.0%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	113	9	122
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	113	10	123

Merged error: 0b

Counts

123 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
0.0b	(/ (- a t) (- z t))
0.5b	(/ 1 (/ (- a t) (- z t)))
1.4b	(* y (/ 1 (/ (- a t) (- z t))))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac`
336×	`add-sqr-sqrt`
324×	`*-un-lft-identity`
158×	`add-cube-cbrt`
98×	`associate-r`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`add-exp-log` `associate-/r*`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`add-log-exp`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `pow-flip` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `sum-log` `un-div-inv` `-commutative` `flip-+` `inv-pow`

Counts

4 → 338

Calls

4 calls:

3.0ms	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
8.0ms	(/ (- a t) (- z t))
12.0ms	(/ 1 (/ (- a t) (- z t)))
31.0ms	(* y (/ 1 (/ (- a t) (- z t))))

series95.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
10.0ms	(/ (- a t) (- z t))
18.0ms	(/ 1 (/ (- a t) (- z t)))
28.0ms	(* y (/ 1 (/ (- a t) (- z t))))

simplify118.0ms

Algorithm

egg-herbie

Counts

350 → 350

Iterations

Useful iterations: 2 (87.0ms)

Iter	Nodes	Cost
0	950	2836
1	4759	2547
2	5001	2261

prune263.0ms

Filtered

184 candidates to 350 candidates (-90.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	347	3	350
Fresh	5	3	8
Picked	1	0	1
Done	1	0	1
Total	354	6	360

Merged error: 0b

Counts

360 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- a t) (- z t))))
0.0b	(/ (- a t) (- z t))
1.6b	(/ y (/ (- a t) (- z t)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
197×	`*-un-lft-identity`
195×	`add-sqr-sqrt`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3-+` `div-sub` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 206

Calls

3 calls:

27.0ms	(+ x (/ y (/ (- a t) (- z t))))
8.0ms	(/ (- a t) (- z t))
13.0ms	(/ y (/ (- a t) (- z t)))

series69.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(+ x (/ y (/ (- a t) (- z t))))
10.0ms	(/ (- a t) (- z t))
26.0ms	(/ y (/ (- a t) (- z t)))

simplify227.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 2 (203.0ms)

Iter	Nodes	Cost
0	697	1888
1	3051	1835
2	5001	1832

prune179.0ms

Filtered

144 candidates to 215 candidates (-49.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	214	1	215
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	215	6	221

Merged error: 0b

Counts

221 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ 1 (/ (/ (- a t) (- z t)) y)))
0.0b	(/ (- a t) (- z t))
0.3b	(/ 1 (/ (/ (- a t) (- z t)) y))
1.5b	(/ (/ (- a t) (- z t)) y)

rewrite205.0ms

Algorithm

rewrite-expression-head

Rules

1181×	`times-frac`
797×	`*-un-lft-identity`
794×	`add-sqr-sqrt`
450×	`add-cube-cbrt`
172×	`distribute-lft-out--` `difference-of-squares`
105×	`associate-/r*`
39×	`associate-/l*`
35×	`associate-/r/`
32×	`add-exp-log`
24×	`div-inv`
20×	`add-cbrt-cube`
19×	`div-exp`
18×	`flip3--` `flip--`
10×	`cbrt-undiv`
6×	`add-log-exp`
5×	`pow1`
3×	`rec-exp` `frac-2neg` `1-exp` `div-sub` `clear-num` `associate-/l/`
2×	`distribute-lft-out`
1×	`+-commutative` `pow-flip` `flip3-+` `sum-log` `flip-+` `inv-pow`

Counts

4 → 624

Calls

4 calls:

98.0ms	(+ x (/ 1 (/ (/ (- a t) (- z t)) y)))
8.0ms	(/ (- a t) (- z t))
26.0ms	(/ 1 (/ (/ (- a t) (- z t)) y))
14.0ms	(/ (/ (- a t) (- z t)) y)

series127.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+ x (/ 1 (/ (/ (- a t) (- z t)) y)))
9.0ms	(/ (- a t) (- z t))
31.0ms	(/ 1 (/ (/ (- a t) (- z t)) y))
45.0ms	(/ (/ (- a t) (- z t)) y)

simplify118.0ms

Algorithm

egg-herbie

Counts

636 → 636

Iterations

Useful iterations: 1 (38.0ms)

Iter	Nodes	Cost
0	1824	7507
1	5002	6289

prune328.0ms

Filtered

289 candidates to 636 candidates (-120.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	636	0	636
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	636	6	642

Merged error: 0b

Counts

642 → 6

regimes445.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

analyze898.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
26.2%	73.5%	0.2%	14

sample682.0ms

Algorithm

intervals

Results

337.0ms	8000×	body	80	valid
32.0ms	729×	body	80	invalid

Iter	Nodes	Cost
0	20	5
1	34	5
2	55	5
3	93	5
4	149	5
5	184	5
6	202	5
7	229	5
8	280	5
9	372	5
10	465	5
11	768	5
12	876	5
13	878	5
14	878	5

Iter	Nodes	Cost
0	20	5
1	34	5
2	55	5
3	93	5
4	149	5
5	184	5
6	202	5
7	229	5
8	280	5
9	372	5
10	465	5
11	768	5
12	876	5
13	878	5
14	878	5

Details

analyze1.0s

sample24.0ms

simplify46.0ms

prune4.0ms

localize12.0ms

rewrite33.0ms

series60.0ms

simplify53.0ms

prune164.0ms

localize12.0ms

rewrite83.0ms

series95.0ms

simplify118.0ms

prune263.0ms

localize9.0ms

rewrite64.0ms

series69.0ms

simplify227.0ms

prune179.0ms

localize11.0ms

rewrite205.0ms

series127.0ms

simplify118.0ms

prune328.0ms

regimes445.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze898.0ms

sample682.0ms

Profiling

Iter	Nodes	Cost
0	20	5
1	34	5
2	55	5
3	93	5
4	149	5
5	184	5
6	202	5
7	229	5
8	280	5
9	372	5
10	465	5
11	768	5
12	876	5
13	878	5
14	878	5