Details

sample24.0ms

Algorithm

intervals

Results

10.0ms

288×

body

valid

simplify88.0ms

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: 14.9b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- y z))
14.0b	(/ (* x (- y z)) (- t z))

rewrite21.0ms

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))
11.0ms	(/ (* x (- y z)) (- t z))

series123.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(* x (- y z))
80.0ms	(/ (* x (- y z)) (- t z))

simplify62.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 1 (14.0ms)

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

prune141.0ms

Filtered

83 candidates to 46 candidates (55.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	78	5	83
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	78	6	84

Merged error: 0.0b

Counts

84 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- t z))
2.0b	(* 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)))

series125.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(/ (- y z) (- t z))
73.0ms	(* x (/ (- y z) (- t z)))

simplify65.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 1 (16.0ms)

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

prune204.0ms

Filtered

112 candidates to 72 candidates (64.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	112	6	118

Merged error: 0b

Counts

118 → 6

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- t z))
0.0b	(* x (- y z))
14.1b	(* (* x (- y z)) (/ 1 (- t z)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 141

Calls

3 calls:

6.0ms	(/ 1 (- t z))
7.0ms	(* x (- y z))
15.0ms	(* (* x (- y z)) (/ 1 (- t z)))

series149.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ 1 (- t z))
37.0ms	(* x (- y z))
74.0ms	(* (* x (- y z)) (/ 1 (- t z)))

simplify90.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	506	910
1	2677	687
2	5001	644

prune205.0ms

Filtered

150 candidates to 74 candidates (49.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	150	6	156

Merged error: 0b

Counts

156 → 6

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (- y z))
0.4b	(/ 1 (/ (- t z) (* x (- y z))))
14.0b	(/ (- t z) (* x (- y z)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

58×	`times-frac`
55×	`add-sqr-sqrt`
53×	`*-un-lft-identity`
39×	`add-cube-cbrt`
31×	`add-exp-log`
19×	`add-cbrt-cube`
18×	`prod-diff`
14×	`div-exp`
12×	`associate-r/` `associate-/r`
11×	`distribute-rgt-in` `distribute-lft-in` `associate-/r/`
8×	`associate-/l*`
7×	`cbrt-undiv` `flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
6×	`pow1` `div-inv`
5×	`associate-r` `prod-exp`
3×	`expm1-log1p-u` `rec-exp` `1-exp` `associate-l` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`sub-neg` `frac-2neg` `clear-num` `associate-/l/`
1×	`pow-flip` `div-sub` `pow-prod-down` `*-commutative` `inv-pow` `unswap-sqr`

Counts

3 → 152

Calls

3 calls:

8.0ms	(* x (- y z))
11.0ms	(/ 1 (/ (- t z) (* x (- y z))))
11.0ms	(/ (- t z) (* x (- y z)))

series284.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(* x (- y z))
172.0ms	(/ 1 (/ (- t z) (* x (- y z))))
72.0ms	(/ (- t z) (* x (- y z)))

simplify95.0ms

Algorithm

egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	552	1189
1	2759	946
2	5002	887

prune222.0ms

Filtered

161 candidates to 82 candidates (50.9%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	160	1	161
Fresh	1	1	2
Picked	0	1	1
Done	0	3	3
Total	161	6	167

Merged error: 0b

Counts

167 → 6

regimes135.0ms

Accuracy

0% (2.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	4
1	9	4

end0.0ms

sample473.0ms

Algorithm

intervals

Results

241.0ms

8712×

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