Details

sample31.0ms

Algorithm

intervals

Results

13.0ms

268×

body

valid

simplify98.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	17	4
1	25	4
2	49	4
3	72	4
4	105	4
5	122	4
6	139	4
7	149	4
8	156	4
9	160	4
10	164	4
11	259	4
12	297	4
13	319	4
14	405	4
15	474	4
16	532	4
17	626	4
18	702	4
19	711	4
20	711	4

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: 0.9b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 102

Calls

2 calls:

12.0ms	(/ (- x y) (- z y))
14.0ms	(* (/ (- x y) (- z y)) t)

series172.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(/ (- x y) (- z y))
116.0ms	(* (/ (- x y) (- z y)) t)

simplify118.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	360	653
1	1125	612
2	4528	611
3	5002	611

prune245.0ms

Filtered

108 candidates to 72 candidates (66.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	100	8	108
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	100	9	109

Merged error: 0b

Counts

109 → 9

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z y) (- x y))
0.3b	(/ 1 (/ (- z y) (- x y)))
0.9b	(* (/ 1 (/ (- z y) (- x y))) t)

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 326

Calls

3 calls:

9.0ms	(/ (- z y) (- x y))
14.0ms	(/ 1 (/ (- z y) (- x y)))
27.0ms	(* (/ 1 (/ (- z y) (- x y))) t)

series390.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(/ (- z y) (- x y))
148.0ms	(/ 1 (/ (- z y) (- x y)))
182.0ms	(* (/ 1 (/ (- z y) (- x y))) t)

simplify118.0ms

Algorithm

egg-herbie

Counts

335 → 335

Iterations

Useful iterations: 2 (88.0ms)

Iter	Nodes	Cost
0	874	2680
1	4188	2394
2	5001	2171

prune574.0ms

Filtered

335 candidates to 178 candidates (53.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	334	1	335
Fresh	3	4	7
Picked	1	0	1
Done	0	1	1
Total	338	6	344

Merged error: 0b

Counts

344 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z y) (- x y))
0.9b	(/ t (/ (- z y) (- x y)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
194×	`add-sqr-sqrt` `*-un-lft-identity`
90×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`
1×	`div-sub`

Counts

2 → 194

Calls

2 calls:

9.0ms	(/ (- z y) (- x y))
13.0ms	(/ t (/ (- z y) (- x y)))

series234.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(/ (- z y) (- x y))
178.0ms	(/ t (/ (- z y) (- x y)))

simplify99.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	633	1784
1	2863	1733
2	5001	1730

prune417.0ms

Filtered

200 candidates to 134 candidates (67.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	200	0	200
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	200	6	206

Merged error: 0b

Counts

206 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- z y))
0.3b	(* (- x y) (/ 1 (- z y)))
0.9b	(* (* (- x y) (/ 1 (- z y))) t)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
41×	`*-un-lft-identity`
32×	`times-frac`
31×	`add-exp-log`
24×	`add-cube-cbrt` `associate-r`
19×	`add-cbrt-cube`
13×	`prod-exp`
11×	`pow1`
10×	`associate-*l/`
8×	`distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`flip3--` `div-exp` `associate-l` `flip--`
5×	`associate-/r*`
4×	`frac-times` `pow-prod-down` `associate-/r/`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `un-div-inv` `-commutative` `div-inv`
1×	`pow-flip` `frac-2neg` `clear-num` `inv-pow`

Counts

3 → 119

Calls

3 calls:

6.0ms	(/ 1 (- z y))
19.0ms	(* (- x y) (/ 1 (- z y)))
14.0ms	(* (* (- x y) (/ 1 (- z y))) t)

series223.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ 1 (- z y))
56.0ms	(* (- x y) (/ 1 (- z y)))
120.0ms	(* (* (- x y) (/ 1 (- z y))) t)

simplify61.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	392	675
1	1893	558
2	5001	516

prune214.0ms

Filtered

128 candidates to 72 candidates (56.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	128	6	134

Merged error: 0b

Counts

134 → 6

regimes184.0ms

Accuracy

0% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	4

end0.0ms

sample468.0ms

Algorithm

intervals

Results

245.0ms

8777×

body

valid

Iter	Nodes	Cost
0	17	4
1	25	4
2	49	4
3	72	4
4	105	4
5	122	4
6	139	4
7	149	4
8	156	4
9	160	4
10	164	4
11	259	4
12	297	4
13	319	4
14	405	4
15	474	4
16	532	4
17	626	4
18	702	4
19	711	4
20	711	4

Iter	Nodes	Cost
0	17	4
1	25	4
2	49	4
3	72	4
4	105	4
5	122	4
6	139	4
7	149	4
8	156	4
9	160	4
10	164	4
11	259	4
12	297	4
13	319	4
14	405	4
15	474	4
16	532	4
17	626	4
18	702	4
19	711	4
20	711	4

Iter	Nodes	Cost
0	17	4
1	25	4
2	49	4
3	72	4
4	105	4
5	122	4
6	139	4
7	149	4
8	156	4
9	160	4
10	164	4
11	259	4
12	297	4
13	319	4
14	405	4
15	474	4
16	532	4
17	626	4
18	702	4
19	711	4
20	711	4