Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

266×

body

valid

simplify56.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	30	4
2	65	4
3	156	4
4	302	4
5	470	4
6	865	4
7	1243	4
8	1545	4
9	1705	4
10	1705	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: 9.3b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) (- t z))
9.3b	(/ x (* (- y z) (- t z)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 63

Calls

2 calls:

9.0ms	(* (- y z) (- t z))
9.0ms	(/ x (* (- y z) (- t z)))

series148.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(* (- y z) (- t z))
118.0ms	(/ x (* (- y z) (- t z)))

simplify38.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	300	403
1	1371	359
2	5001	355

prune125.0ms

Filtered

69 candidates to 51 candidates (73.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	65	4	69
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	65	5	70

Merged error: 0.0b

Counts

70 → 5

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (- t z))
0.0b	(/ 1 (- y z))
1.2b	(* (/ 1 (- y z)) (/ x (- t z)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

86×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
67×	`times-frac`
41×	`add-cube-cbrt`
31×	`add-exp-log`
21×	`associate-r` `associate-l`
19×	`add-cbrt-cube`
14×	`distribute-lft-out--` `difference-of-squares`
11×	`div-exp`
10×	`associate-/r*`
8×	`prod-exp` `associate-/r/`
6×	`pow1` `cbrt-undiv` `associate-/l*` `unswap-sqr`
4×	`flip3--` `flip--` `cbrt-unprod` `div-inv`
3×	`rec-exp` `1-exp` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `pow-flip` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `inv-pow`

Counts

3 → 150

Calls

3 calls:

5.0ms	(/ x (- t z))
5.0ms	(/ 1 (- y z))
19.0ms	(* (/ 1 (- y z)) (/ x (- t z)))

series265.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(/ x (- t z))
37.0ms	(/ 1 (- y z))
202.0ms	(* (/ 1 (- y z)) (/ x (- t z)))

simplify54.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	518	909
1	2245	798
2	5001	758

prune234.0ms

Filtered

159 candidates to 97 candidates (61.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	156	3	159
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	158	6	164

Merged error: 0b

Counts

164 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- y z))
0.0b	(/ (- t z) x)
1.1b	(/ 1 (/ (- t z) x))
1.2b	(* (/ 1 (- y z)) (/ 1 (/ (- t z) x)))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

292×	`times-frac`
247×	`add-sqr-sqrt`
211×	`*-un-lft-identity`
136×	`add-cube-cbrt`
104×	`add-exp-log`
62×	`associate-r`
52×	`div-exp`
34×	`add-cbrt-cube`
32×	`distribute-lft-out--` `difference-of-squares`
28×	`prod-exp`
27×	`associate-/r*`
21×	`associate-l`
18×	`rec-exp` `1-exp`
15×	`unswap-sqr`
14×	`cbrt-undiv`
12×	`div-inv`
11×	`associate-/l*`
10×	`pow1`
6×	`associate-/r/` `cbrt-unprod`
4×	`pow-flip` `inv-pow` `add-log-exp`
3×	`flip3--` `frac-2neg` `pow-prod-down` `clear-num` `flip--`
2×	`associate-/l/`
1×	`frac-times` `div-sub` `associate-r/` `associate-l/` `un-div-inv` `*-commutative`

Counts

4 → 326

Calls

4 calls:

5.0ms	(/ 1 (- y z))
6.0ms	(/ (- t z) x)
8.0ms	(/ 1 (/ (- t z) x))
37.0ms	(* (/ 1 (- y z)) (/ 1 (/ (- t z) x)))

series699.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(/ 1 (- y z))
30.0ms	(/ (- t z) x)
59.0ms	(/ 1 (/ (- t z) x))
577.0ms	(* (/ 1 (- y z)) (/ 1 (/ (- t z) x)))

simplify97.0ms

Algorithm

egg-herbie

Counts

338 → 338

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	1101	2479
1	4859	2124
2	5001	2091

prune686.0ms

Filtered

338 candidates to 195 candidates (57.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	338	0	338
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	338	6	344

Merged error: 0b

Counts

344 → 6

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

210×	`times-frac`
176×	`add-sqr-sqrt` `*-un-lft-identity`
88×	`add-cube-cbrt`
44×	`distribute-lft-out--` `difference-of-squares`
24×	`associate-/l*`
16×	`associate-/r/`
10×	`associate-/r*`
9×	`add-exp-log` `add-cbrt-cube`
8×	`flip3--` `flip--` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 185

Calls

2 calls:

5.0ms	(/ x (- y z))
12.0ms	(/ (/ x (- y z)) (- t z))

series146.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(/ x (- y z))
117.0ms	(/ (/ x (- y z)) (- t z))

simplify63.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	636	1735
1	2304	1691
2	5001	1691

prune306.0ms

Filtered

191 candidates to 127 candidates (66.5%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	190	1	191
Fresh	1	1	2
Picked	0	1	1
Done	0	3	3
Total	191	6	197

Merged error: 0b

Counts

197 → 6

regimes134.0ms

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	13	5
1	13	5

end0.0ms

sample441.0ms

Algorithm

intervals

Results

243.0ms

8398×

body

valid