Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

268×

body

valid

simplify88.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

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: 12.9b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- y z))
12.1b	(/ (* x (- y z)) (- t z))

rewrite22.0ms

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:

8.0ms	(* x (- y z))
12.0ms	(/ (* x (- y z)) (- t z))

series110.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(* x (- y z))
69.0ms	(/ (* x (- y z)) (- t z))

simplify60.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 1 (13.0ms)

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

prune140.0ms

Filtered

83 candidates to 46 candidates (55.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	77	6	83
Fresh	0	0	0
Picked	0	1	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	(/ (- y z) (- t z))
1.9b	(* 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)))

series122.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(/ (- y z) (- t z))
72.0ms	(* 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

prune205.0ms

Filtered

112 candidates to 72 candidates (64.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	109	3	112
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	112	7	119

Merged error: 0b

Counts

119 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite316.0ms

Algorithm

rewrite-expression-head

Rules

2003×	`*-un-lft-identity`
1985×	`add-sqr-sqrt`
1971×	`times-frac`
1323×	`prod-diff`
1173×	`add-cube-cbrt`
443×	`distribute-rgt-in` `distribute-lft-in`
413×	`distribute-lft-out--`
401×	`difference-of-squares`
266×	`associate-/r/`
135×	`flip3--` `flip--`
133×	`div-inv`
21×	`fma-neg`
18×	`associate-r`
10×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
6×	`pow1` `distribute-rgt-out--` `associate-/l*` `add-log-exp`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u`
3×	`sub-neg` `associate-l`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `frac-sub` `sub-div`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 1496

Calls

4 calls:

48.0ms	(- (/ y (- t z)) (/ z (- t z)))
6.0ms	(/ y (- t z))
6.0ms	(/ z (- t z))
74.0ms	(* x (- (/ y (- t z)) (/ z (- t z))))

series245.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(- (/ y (- t z)) (/ z (- t z)))
29.0ms	(/ y (- t z))
49.0ms	(/ z (- t z))
94.0ms	(* x (- (/ y (- t z)) (/ z (- t z))))

simplify428.0ms

Algorithm

egg-herbie

Counts

1508 → 1508

Iterations

Useful iterations: 1 (58.0ms)

Iter	Nodes	Cost
0	2020	47467
1	5002	38512

prune2.4s

Filtered

1508 candidates to 555 candidates (36.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	1507	1	1508
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	1509	6	1515

Merged error: 0b

Counts

1515 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- t z) (- y z))
2.2b	(/ x (/ (- t z) (- y z)))

rewrite39.0ms

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)))

series222.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(/ (- t z) (- y z))
163.0ms	(/ x (/ (- t z) (- y z)))

simplify94.0ms

Algorithm

egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 2 (72.0ms)

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

prune410.0ms

Filtered

204 candidates to 137 candidates (67.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	203	1	204
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	204	6	210

Merged error: 0b

Counts

210 → 6

regimes165.0ms

Accuracy

28.5% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 2.4b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	16
1	20	16

end0.0ms

sample506.0ms

Algorithm

intervals

Results

279.0ms

8679×

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