Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

286×

body

valid

simplify81.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	4
1	29	4
2	56	4
3	86	4
4	118	4
5	145	4
6	156	4
7	166	4
8	167	4
9	171	4
10	175	4
11	286	4
12	324	4
13	350	4
14	448	4
15	517	4
16	599	4
17	705	4
18	799	4
19	808	4
20	808	4

prune3.0ms

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: 13.6b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- y z))
12.8b	(/ (* x (- y z)) (- t z))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
18×	`add-cube-cbrt` `prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-exp-log` `add-cbrt-cube`
5×	`times-frac` `associate-r` `associate-/r*`
4×	`pow1` `associate-*r/`
3×	`flip3--` `associate-l` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `expm1-log1p-u` `sub-neg` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 77

Calls

2 calls:

7.0ms	(* x (- y z))
15.0ms	(/ (* x (- y z)) (- t z))

series114.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(* x (- y z))
70.0ms	(/ (* x (- y z)) (- t z))

simplify58.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	346	543
1	1624	380
2	5001	380

prune145.0ms

Filtered

83 candidates to 46 candidates (55.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	76	7	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	7	84

Merged error: 0.0b

Counts

84 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- t z) (- y z))
1.9b	(/ x (/ (- t z) (- y z)))

rewrite38.0ms

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` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`div-sub`

Counts

2 → 198

Calls

2 calls:

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

series223.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(/ (- t z) (- y z))
161.0ms	(/ x (/ (- t z) (- y z)))

simplify92.0ms

Algorithm

egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	642	1801
1	2887	1748
2	5001	1745

prune428.0ms

Filtered

204 candidates to 137 candidates (67.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	202	2	204
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	203	8	211

Merged error: 0b

Counts

211 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- t z))
2.1b	(* x (/ (- y z) (- t z)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
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-l` `flip--`
2×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 106

Calls

2 calls:

9.0ms	(/ (- y z) (- t z))
15.0ms	(* x (/ (- y z) (- t z)))

series140.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(/ (- y z) (- t z))
80.0ms	(* x (/ (- y z) (- t z)))

simplify53.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	356	664
1	1414	623
2	5001	623

prune224.0ms

Filtered

112 candidates to 74 candidates (66.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	112	8	120

Merged error: 0b

Counts

120 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
1.7b	(/ (cbrt x) (/ (- t z) (- y z)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

361×	`times-frac`
288×	`add-sqr-sqrt` `*-un-lft-identity`
148×	`add-cube-cbrt`
105×	`cbrt-prod`
70×	`distribute-lft-out--` `difference-of-squares`
31×	`associate-/r*`
15×	`associate-/r/`
9×	`add-exp-log`
8×	`div-inv`
7×	`flip3--` `add-cbrt-cube` `flip--`
6×	`associate-/l*`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp`
1×	`frac-2neg` `clear-num`

Counts

4 → 279

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
16.0ms	(/ (cbrt x) (/ (- t z) (- y z)))

series1.2s

Counts

4 → 12

Calls

4 calls:

217.0ms	(cbrt x)
207.0ms	(cbrt x)
208.0ms	(cbrt x)
567.0ms	(/ (cbrt x) (/ (- t z) (- y z)))

simplify123.0ms

Algorithm

egg-herbie

Counts

291 → 291

Iterations

Useful iterations: 2 (89.0ms)

Iter	Nodes	Cost
0	786	3167
1	3670	3120
2	5001	3064

prune706.0ms

Filtered

291 candidates to 187 candidates (64.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	291	0	291
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	291	8	299

Merged error: 0b

Counts

299 → 8

regimes185.0ms

Accuracy

26.3% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 2.0b

bsearch2.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	22
1	34	22
2	35	22
3	35	22

end0.0ms

sample514.0ms

Algorithm

intervals

Results

289.0ms

8753×

body

valid

Iter	Nodes	Cost
0	14	4
1	29	4
2	56	4
3	86	4
4	118	4
5	145	4
6	156	4
7	166	4
8	167	4
9	171	4
10	175	4
11	286	4
12	324	4
13	350	4
14	448	4
15	517	4
16	599	4
17	705	4
18	799	4
19	808	4
20	808	4

Iter	Nodes	Cost
0	14	4
1	29	4
2	56	4
3	86	4
4	118	4
5	145	4
6	156	4
7	166	4
8	167	4
9	171	4
10	175	4
11	286	4
12	324	4
13	350	4
14	448	4
15	517	4
16	599	4
17	705	4
18	799	4
19	808	4
20	808	4

Iter	Nodes	Cost
0	14	4
1	29	4
2	56	4
3	86	4
4	118	4
5	145	4
6	156	4
7	166	4
8	167	4
9	171	4
10	175	4
11	286	4
12	324	4
13	350	4
14	448	4
15	517	4
16	599	4
17	705	4
18	799	4
19	808	4
20	808	4