Details

sample22.0ms

Algorithm

intervals

Results

8.0ms

275×

body

valid

simplify54.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

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: 0.6b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
0.9b	(* y (/ (- z t) (- a t)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

81×	`add-sqr-sqrt`
79×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
28×	`add-cube-cbrt`
25×	`distribute-lft-out--`
24×	`difference-of-squares`
15×	`associate-*r/`
12×	`associate-/l*`
10×	`associate-/r*`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `flip3--` `associate-/r/` `flip--` `associate-/l/`
3×	`associate-l` `clear-num` `un-div-inv`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr`
1×	`div-sub` `pow-prod-down` `*-commutative`

Counts

2 → 119

Calls

2 calls:

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

series124.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(/ (- z t) (- a t))
71.0ms	(* y (/ (- z t) (- a t)))

simplify56.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	386	694
1	1585	653
2	5001	653

prune192.0ms

Filtered

125 candidates to 81 candidates (35.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	120	5	125
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	120	6	126

Merged error: 0b

Counts

126 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- a t))
0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
16×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`add-cube-cbrt` `cbrt-div`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

4 → 60

Calls

4 calls:

3.0ms	(cbrt (- a t))
3.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z t))

series633.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(cbrt (- a t))
159.0ms	(cbrt (- z t))
159.0ms	(cbrt (- z t))
158.0ms	(cbrt (- z t))

simplify206.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 4 (199.0ms)

Iter	Nodes	Cost
0	226	428
1	481	408
2	1311	396
3	4592	372
4	5001	364

prune233.0ms

Filtered

72 candidates to 60 candidates (16.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	72	6	78

Merged error: 0b

Counts

78 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- a t) (- z t))
1.1b	(/ y (/ (- a t) (- z t)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
200×	`add-sqr-sqrt` `*-un-lft-identity`
92×	`add-cube-cbrt`
54×	`distribute-lft-out--` `difference-of-squares`
41×	`associate-/r*`
25×	`associate-/r/`
13×	`associate-/l*`
9×	`add-exp-log` `add-cbrt-cube`
7×	`flip3--` `flip--`
6×	`div-inv`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`frac-2neg` `clear-num`
2×	`pow1` `add-log-exp`
1×	`div-sub`

Counts

2 → 208

Calls

2 calls:

8.0ms	(/ (- a t) (- z t))
13.0ms	(/ y (/ (- a t) (- z t)))

series210.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(/ (- a t) (- z t))
154.0ms	(/ y (/ (- a t) (- z t)))

simplify96.0ms

Algorithm

egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	650	1831
1	2944	1780
2	5001	1777

prune356.0ms

Filtered

214 candidates to 141 candidates (34.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	213	1	214
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	214	6	220

Merged error: 0b

Counts

220 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ t (- z t))
0.0b	(/ a (- z t))
1.1b	(/ y (- (/ a (- z t)) (/ t (- z t))))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

280×	`*-un-lft-identity`
228×	`add-sqr-sqrt`
156×	`times-frac` `associate-/r*` `associate-/r/`
121×	`frac-sub`
100×	`add-cube-cbrt`
84×	`distribute-lft-out--`
75×	`associate-/l*`
56×	`difference-of-squares`
27×	`frac-2neg`
25×	`clear-num`
13×	`sub-div`
12×	`distribute-rgt-out--`
11×	`flip3--` `flip--` `div-inv`
9×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `cbrt-undiv` `div-exp` `add-log-exp`

Counts

3 → 297

Calls

3 calls:

5.0ms	(/ t (- z t))
5.0ms	(/ a (- z t))
46.0ms	(/ y (- (/ a (- z t)) (/ t (- z t))))

series198.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(/ t (- z t))
30.0ms	(/ a (- z t))
115.0ms	(/ y (- (/ a (- z t)) (/ t (- z t))))

simplify69.0ms

Algorithm

egg-herbie

Counts

306 → 306

Iterations

Useful iterations: 1 (41.0ms)

Iter	Nodes	Cost
0	1258	2769
1	5001	2696

prune492.0ms

Filtered

306 candidates to 193 candidates (36.9%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	306	0	306
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	306	6	312

Merged error: 0b

Counts

312 → 6

regimes224.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	19
1	19	19

end0.0ms

sample533.0ms

Algorithm

intervals

Results

267.0ms

8697×

body

valid

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

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