Details

sample22.0ms

Algorithm

intervals

Results

12.0ms

264×

body

valid

simplify78.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	6
1	67	6
2	145	6
3	241	6
4	301	6
5	355	6
6	396	6
7	444	6
8	529	6
9	744	6
10	2218	6
11	5001	6

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 18.3b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ t1 u) (+ t1 u))
18.0b	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
16×	`add-exp-log` `add-cbrt-cube`
12×	`flip3-+` `flip-+`
9×	`pow1`
8×	`add-sqr-sqrt` `frac-times` `associate-/r/`
6×	`add-cube-cbrt` `swap-sqr` `distribute-lft-out`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `associate-r/` `div-exp` `associate-r` `associate-l` `associate-l/`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`distribute-lft-neg-out` `pow2` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `times-frac` `pow-plus` `distribute-frac-neg` `pow-prod-down` `clear-num` `associate-/r` `pow-sqr` `-commutative` `pow-prod-up` `div-inv` `associate-/l*` `unswap-sqr`

Counts

2 → 74

Calls

2 calls:

8.0ms	(* (+ t1 u) (+ t1 u))
16.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series92.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(* (+ t1 u) (+ t1 u))
72.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify61.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	390	509
1	2114	426
2	5002	422

prune127.0ms

Filtered

80 candidates to 45 candidates (56.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	75	5	80
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	5	81

Merged error: 0.0b

Counts

81 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t1) (+ t1 u))
0.0b	(/ v (+ t1 u))
1.0b	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

125×	`*-un-lft-identity`
108×	`times-frac`
81×	`add-sqr-sqrt`
69×	`add-cube-cbrt`
46×	`associate-l`
28×	`distribute-lft-out`
27×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
19×	`add-exp-log` `add-cbrt-cube`
18×	`associate-r`
13×	`associate-/l*`
9×	`neg-mul-1`
8×	`associate-/r*` `associate-/r/`
6×	`cbrt-undiv` `div-exp`
5×	`pow1`
4×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `distribute-frac-neg` `clear-num`
1×	`distribute-lft-neg-out` `neg-sub0` `frac-times` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

3 → 198

Calls

3 calls:

7.0ms	(/ (- t1) (+ t1 u))
5.0ms	(/ v (+ t1 u))
26.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series194.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ (- t1) (+ t1 u))
25.0ms	(/ v (+ t1 u))
122.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify64.0ms

Algorithm

egg-herbie

Counts

207 → 207

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	602	1313
1	2728	1228
2	5002	1224

prune340.0ms

Filtered

207 candidates to 140 candidates (67.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	203	4	207
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	204	8	212

Merged error: 0b

Counts

212 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- t1)) (cbrt (- t1)))
0.6b	(cbrt (- t1))
0.6b	(cbrt (- t1))
0.6b	(cbrt (- t1))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

78×	`cbrt-prod`
37×	`add-sqr-sqrt`
33×	`*-un-lft-identity`
29×	`add-cube-cbrt`
23×	`distribute-rgt-neg-in`
21×	`distribute-lft-neg-in`
15×	`swap-sqr`
13×	`associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3`
7×	`neg-mul-1`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 125

Calls

4 calls:

10.0ms	(* (cbrt (- t1)) (cbrt (- t1)))
2.0ms	(cbrt (- t1))
2.0ms	(cbrt (- t1))
2.0ms	(cbrt (- t1))

series801.0ms

Counts

4 → 12

Calls

4 calls:

225.0ms	(* (cbrt (- t1)) (cbrt (- t1)))
195.0ms	(cbrt (- t1))
192.0ms	(cbrt (- t1))
188.0ms	(cbrt (- t1))

simplify88.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 3 (78.0ms)

Iter	Nodes	Cost
0	154	726
1	552	685
2	2895	633
3	5001	611

prune386.0ms

Filtered

137 candidates to 104 candidates (75.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	137	8	145

Merged error: 0b

Counts

145 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- t1) (+ t1 u))
0.0b	(/ (+ t1 u) v)
0.2b	(/ 1 (/ (+ t1 u) v))
1.0b	(* (/ (- t1) (+ t1 u)) (/ 1 (/ (+ t1 u) v)))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

289×	`times-frac`
248×	`*-un-lft-identity`
185×	`add-sqr-sqrt`
152×	`add-cube-cbrt`
64×	`add-exp-log`
53×	`associate-r`
46×	`associate-l` `distribute-lft-out`
34×	`add-cbrt-cube`
30×	`div-exp`
27×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
23×	`associate-/r*`
17×	`associate-/l*`
14×	`cbrt-undiv` `prod-exp`
12×	`div-inv`
10×	`unswap-sqr`
9×	`neg-mul-1`
7×	`pow1`
6×	`rec-exp` `1-exp` `associate-/r/` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `flip3-+` `clear-num` `flip-+`
2×	`distribute-frac-neg` `associate-/l/`
1×	`distribute-lft-neg-out` `neg-sub0` `frac-times` `pow-flip` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `un-div-inv` `*-commutative` `inv-pow`

Counts

4 → 342

Calls

4 calls:

7.0ms	(/ (- t1) (+ t1 u))
6.0ms	(/ (+ t1 u) v)
8.0ms	(/ 1 (/ (+ t1 u) v))
54.0ms	(* (/ (- t1) (+ t1 u)) (/ 1 (/ (+ t1 u) v)))

series258.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(/ (- t1) (+ t1 u))
19.0ms	(/ (+ t1 u) v)
65.0ms	(/ 1 (/ (+ t1 u) v))
127.0ms	(* (/ (- t1) (+ t1 u)) (/ 1 (/ (+ t1 u) v)))

simplify55.0ms

Algorithm

egg-herbie

Counts

354 → 354

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1054	2624
1	5002	2327

prune537.0ms

Filtered

354 candidates to 222 candidates (62.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	354	0	354
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	354	8	362

Merged error: 0b

Counts

362 → 8

regimes93.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	20
1	17	20

end0.0ms

sample436.0ms

Algorithm

intervals

Results

269.0ms

8249×

body

valid