Details

sample16.0ms

Algorithm

intervals

Results

6.0ms

262×

body

valid

simplify152.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	14	4
1	30	4
2	69	4
3	182	4
4	401	4
5	659	4
6	1403	4
7	1837	4
8	2387	4
9	2759	4
10	2763	4
11	2763	4

prune7.0ms

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: 6.1b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) (- t z))
6.1b	(/ x (* (- y z) (- t z)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 145

Calls

2 calls:

10.0ms	(* (- y z) (- t z))
13.0ms	(/ x (* (- y z) (- t z)))

series177.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(* (- y z) (- t z))
143.0ms	(/ x (* (- y z) (- t z)))

simplify128.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (111.0ms)

Iter	Nodes	Cost
0	543	1211
1	2472	1041
2	5002	1038

prune237.0ms

Filtered

151 candidates to 99 candidates (65.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	145	6	151
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	146	6	152

Merged error: 0b

Counts

152 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

210×	`times-frac`
180×	`add-sqr-sqrt` `*-un-lft-identity`
90×	`add-cube-cbrt`
45×	`distribute-lft-out--` `difference-of-squares`
27×	`associate-/l*`
16×	`associate-/r/`
15×	`associate-/r*`
11×	`associate-/l/`
9×	`add-exp-log` `add-cbrt-cube`
8×	`flip3--` `flip--` `div-inv`
4×	`cbrt-undiv` `div-exp`
3×	`frac-2neg` `clear-num`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`

Counts

2 → 199

Calls

2 calls:

5.0ms	(/ x (- t z))
13.0ms	(/ (/ x (- t z)) (- y z))

series175.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ x (- t z))
144.0ms	(/ (/ x (- t z)) (- y z))

simplify118.0ms

Algorithm

egg-herbie

Counts

205 → 205

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	656	1792
1	2389	1748
2	5002	1748

prune340.0ms

Filtered

205 candidates to 140 candidates (68.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

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

Merged error: 0b

Counts

211 → 6

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

210×	`times-frac`
180×	`add-sqr-sqrt` `*-un-lft-identity`
90×	`add-cube-cbrt`
45×	`distribute-lft-out--` `difference-of-squares`
27×	`associate-/l*`
16×	`associate-/r/`
15×	`associate-/r*`
11×	`associate-/l/`
9×	`add-exp-log` `add-cbrt-cube`
8×	`flip3--` `flip--` `div-inv`
4×	`cbrt-undiv` `div-exp`
3×	`frac-2neg` `clear-num`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`

Counts

2 → 199

Calls

2 calls:

5.0ms	(/ x (- y z))
13.0ms	(/ (/ x (- y z)) (- t z))

series181.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ x (- y z))
149.0ms	(/ (/ x (- y z)) (- t z))

simplify117.0ms

Algorithm

egg-herbie

Counts

205 → 205

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	656	1792
1	2389	1748
2	5002	1748

prune332.0ms

Filtered

205 candidates to 140 candidates (68.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	203	2	205
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	205	6	211

Merged error: 0b

Counts

211 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (- y z))
0.5b	(/ 1 (/ (- t z) (/ x (- y z))))
2.1b	(/ (- t z) (/ x (- y z)))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

1305×	`times-frac`
895×	`*-un-lft-identity`
892×	`add-sqr-sqrt`
498×	`add-cube-cbrt`
198×	`distribute-lft-out--`
197×	`difference-of-squares`
192×	`associate-/r*`
142×	`associate-/r/`
34×	`div-inv`
33×	`associate-/l*`
31×	`add-exp-log`
30×	`flip3--` `flip--`
19×	`div-exp` `add-cbrt-cube`
10×	`cbrt-undiv` `clear-num`
9×	`frac-2neg`
4×	`pow1` `associate-/l/`
3×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `remove-double-div` `add-log-exp`
1×	`pow-flip` `div-sub` `inv-pow`

Counts

3 → 743

Calls

3 calls:

5.0ms	(/ x (- y z))
33.0ms	(/ 1 (/ (- t z) (/ x (- y z))))
16.0ms	(/ (- t z) (/ x (- y z)))

series353.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/ x (- y z))
245.0ms	(/ 1 (/ (- t z) (/ x (- y z))))
68.0ms	(/ (- t z) (/ x (- y z)))

simplify175.0ms

Algorithm

egg-herbie

Counts

752 → 752

Iterations

Useful iterations: 1 (79.0ms)

Iter	Nodes	Cost
0	2026	8434
1	5001	8037

prune1.2s

Filtered

752 candidates to 411 candidates (54.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	751	1	752
Fresh	1	2	3
Picked	1	0	1
Done	0	2	2
Total	753	5	758

Merged error: 0b

Counts

758 → 5

regimes100.0ms

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

sample441.0ms

Algorithm

intervals

Results

233.0ms

8433×

body

valid