Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

271×

body

valid

simplify96.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	5
1	40	5
2	84	5
3	200	5
4	463	5
5	708	5
6	1261	5
7	1854	5
8	2446	5
9	2811	5
10	2813	5
11	2813	5

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: 0.3b

Counts

2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) (- y t))
7.6b	(/ x (* (- y z) (- y t)))

rewrite29.0ms

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

series87.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(* (- y z) (- y t))
60.0ms	(/ x (* (- y z) (- y t)))

simplify69.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	552	1209
1	2511	1040
2	5001	1040

prune316.0ms

Filtered

151 candidates to 99 candidates (65.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	146	5	151
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	147	5	152

Merged error: 0b

Counts

152 → 5

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (- y z))
1.7b	(/ (/ x (- y z)) (- y t))

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)) (- y t))

series90.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(/ x (- y z))
62.0ms	(/ (/ x (- y z)) (- y t))

simplify65.0ms

Algorithm

egg-herbie

Counts

205 → 205

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	663	1792
1	2406	1748
2	5001	1748

prune471.0ms

Filtered

205 candidates to 140 candidates (68.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	204	1	205
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	205	5	210

Merged error: 0b

Counts

210 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- y t))
0.0b	(/ x (- y z))
1.8b	(* (/ x (- y z)) (/ 1 (- y t)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

182×	`add-sqr-sqrt`
168×	`*-un-lft-identity`
130×	`associate-/r*`
121×	`frac-times`
89×	`add-cube-cbrt`
79×	`associate-/l*`
67×	`times-frac`
38×	`distribute-lft-out--` `difference-of-squares`
31×	`add-exp-log`
27×	`clear-num`
26×	`frac-2neg`
21×	`associate-r` `associate-l`
19×	`add-cbrt-cube`
11×	`associate-r/` `div-exp` `associate-l/`
8×	`prod-exp` `associate-/r/`
6×	`pow1` `cbrt-undiv` `unswap-sqr`
4×	`flip3--` `flip--` `cbrt-unprod` `div-inv`
3×	`expm1-log1p-u` `rec-exp` `1-exp` `un-div-inv` `log1p-expm1-u` `add-log-exp`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow`

Counts

3 → 299

Calls

3 calls:

5.0ms	(/ 1 (- y t))
5.0ms	(/ x (- y z))
30.0ms	(* (/ x (- y z)) (/ 1 (- y t)))

series119.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ 1 (- y t))
27.0ms	(/ x (- y z))
59.0ms	(* (/ x (- y z)) (/ 1 (- y t)))

simplify106.0ms

Algorithm

egg-herbie

Counts

308 → 308

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	997	1998
1	4513	1839
2	5003	1729

prune463.0ms

Filtered

308 candidates to 154 candidates (50.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	307	1	308
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	308	5	313

Merged error: 0b

Counts

313 → 5

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x) (- y t))
1.7b	(/ (/ (- x) (- y t)) (- (- y z)))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

1584×	`times-frac`
1148×	`add-sqr-sqrt` `*-un-lft-identity`
596×	`add-cube-cbrt`
531×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
276×	`distribute-lft-out--` `difference-of-squares`
139×	`neg-mul-1`
76×	`associate-/l*`
34×	`associate-/r/`
24×	`associate-/r*`
18×	`associate-/l/`
17×	`flip3--` `flip--` `div-inv`
9×	`add-exp-log` `add-cbrt-cube`
4×	`cbrt-undiv` `div-exp`
3×	`frac-2neg` `div-sub` `distribute-frac-neg` `clear-num`
2×	`pow1` `neg-sub0` `expm1-log1p-u` `log1p-expm1-u` `distribute-neg-frac` `add-log-exp`

Counts

2 → 975

Calls

2 calls:

7.0ms	(/ (- x) (- y t))
35.0ms	(/ (/ (- x) (- y t)) (- (- y z)))

series91.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ (- x) (- y t))
57.0ms	(/ (/ (- x) (- y t)) (- (- y z)))

simplify153.0ms

Algorithm

egg-herbie

Counts

981 → 981

Iterations

Useful iterations: 1 (39.0ms)

Iter	Nodes	Cost
0	2479	13040
1	5002	12652

prune1.8s

Filtered

981 candidates to 509 candidates (51.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	981	0	981
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	981	5	986

Merged error: 0b

Counts

986 → 5

regimes85.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5

end0.0ms

sample458.0ms

Algorithm

intervals

Results

249.0ms

8486×

body

valid