Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

281×

body

valid

simplify86.0ms

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

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: 13.2b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- y z))
12.4b	(/ (* 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))
11.0ms	(/ (* x (- y z)) (- t z))

series108.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(* x (- y z))
71.0ms	(/ (* x (- y z)) (- t z))

simplify58.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 1 (14.0ms)

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

prune147.0ms

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	(/ (- t z) (- y z))
1.4b	(/ x (/ (- t z) (- y z)))

rewrite40.0ms

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))
17.0ms	(/ x (/ (- t z) (- y z)))

series215.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(/ (- t z) (- y z))
165.0ms	(/ 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

prune409.0ms

Filtered

204 candidates to 137 candidates (67.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	201	3	204
Fresh	4	1	5
Picked	0	1	1
Done	0	1	1
Total	205	6	211

Merged error: 0b

Counts

211 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- t z))
1.5b	(* x (/ (- y z) (- t z)))

rewrite35.0ms

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))
20.0ms	(* x (/ (- y z) (- t z)))

series125.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(/ (- y z) (- t z))
69.0ms	(* x (/ (- y z) (- t z)))

simplify57.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 1 (15.0ms)

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

prune197.0ms

Filtered

112 candidates to 74 candidates (66.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	112	6	118

Merged error: 0b

Counts

118 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t z) (- y z))
0.5b	(/ 1 (/ (/ (- t z) (- y z)) x))
1.4b	(/ (/ (- t z) (- y z)) x)

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

1181×	`times-frac`
793×	`add-sqr-sqrt` `*-un-lft-identity`
449×	`add-cube-cbrt`
172×	`distribute-lft-out--` `difference-of-squares`
105×	`associate-/r*`
39×	`associate-/l*`
35×	`associate-/r/`
31×	`add-exp-log`
23×	`div-inv`
19×	`div-exp` `add-cbrt-cube`
18×	`flip3--` `flip--`
10×	`cbrt-undiv`
4×	`pow1`
3×	`expm1-log1p-u` `rec-exp` `frac-2neg` `1-exp` `div-sub` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`pow-flip` `inv-pow`

Counts

3 → 617

Calls

3 calls:

10.0ms	(/ (- t z) (- y z))
31.0ms	(/ 1 (/ (/ (- t z) (- y z)) x))
14.0ms	(/ (/ (- t z) (- y z)) x)

series307.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(/ (- t z) (- y z))
163.0ms	(/ 1 (/ (/ (- t z) (- y z)) x))
88.0ms	(/ (/ (- t z) (- y z)) x)

simplify127.0ms

Algorithm

egg-herbie

Counts

626 → 626

Iterations

Useful iterations: 1 (47.0ms)

Iter	Nodes	Cost
0	1771	7394
1	5001	6728

prune1.1s

Filtered

626 candidates to 350 candidates (55.9%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	626	0	626
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	626	6	632

Merged error: 0b

Counts

632 → 6

regimes129.0ms

Accuracy

0% (2.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	4

end0.0ms

sample457.0ms

Algorithm

intervals

Results

235.0ms

8717×

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