Details

sample21.0ms

Algorithm

intervals

Results

8.0ms

275×

body

valid

simplify91.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	20	5
1	36	4
2	59	4
3	103	4
4	173	4
5	236	4
6	265	4
7	311	4
8	375	4
9	511	4
10	674	4
11	1179	4
12	1300	4
13	1308	4
14	1308	4

prune6.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.6b

Counts

2 → 1

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

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` `expm1-log1p-u` `frac-2neg` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`div-sub` `pow-prod-down` `*-commutative`

Counts

2 → 123

Calls

2 calls:

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

series136.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(/ (- z t) (- a t))
81.0ms	(* y (/ (- z t) (- a t)))

simplify76.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	394	711
1	1607	670
2	5001	670

prune209.0ms

Filtered

129 candidates to 85 candidates (34.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	124	5	129
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	124	6	130

Merged error: 0b

Counts

130 → 6

localize17.0ms

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))

rewrite15.0ms

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` `expm1-log1p-u` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

4 → 68

Calls

4 calls:

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

series720.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt (- a t))
180.0ms	(cbrt (- z t))
177.0ms	(cbrt (- z t))
180.0ms	(cbrt (- z t))

simplify73.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 3 (65.0ms)

Iter	Nodes	Cost
0	238	452
1	523	432
2	1454	420
3	5001	392

prune279.0ms

Filtered

80 candidates to 72 candidates (10.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	80	6	86

Merged error: 0b

Counts

86 → 6

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

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` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`div-sub`

Counts

2 → 212

Calls

2 calls:

9.0ms	(/ (- a t) (- z t))
14.0ms	(/ y (/ (- a t) (- z t)))

series239.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(/ (- a t) (- z t))
178.0ms	(/ y (/ (- a t) (- z t)))

simplify118.0ms

Algorithm

egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 2 (94.0ms)

Iter	Nodes	Cost
0	660	1848
1	2970	1795
2	5001	1793

prune375.0ms

Filtered

218 candidates to 146 candidates (33.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	217	1	218
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	218	6	224

Merged error: 0b

Counts

224 → 6

localize10.0ms

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))))

rewrite81.0ms

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` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`

Counts

3 → 303

Calls

3 calls:

6.0ms	(/ t (- z t))
6.0ms	(/ a (- z t))
48.0ms	(/ y (- (/ a (- z t)) (/ t (- z t))))

series218.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(/ t (- z t))
34.0ms	(/ a (- z t))
129.0ms	(/ y (- (/ a (- z t)) (/ t (- z t))))

simplify81.0ms

Algorithm

egg-herbie

Counts

312 → 312

Iterations

Useful iterations: 1 (48.0ms)

Iter	Nodes	Cost
0	1349	2793
1	5002	2716

prune773.0ms

Filtered

312 candidates to 199 candidates (36.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	311	1	312
Fresh	1	1	2
Picked	0	1	1
Done	0	3	3
Total	312	6	318

Merged error: 0b

Counts

318 → 6

regimes276.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	19
1	19	19

end0.0ms

sample531.0ms

Algorithm

intervals

Results

275.0ms

8697×

body

valid