Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

271×

body

valid

simplify77.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
18×	`add-cube-cbrt` `prod-diff`
12×	`flip3--` `flip--`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `associate-/r/`
5×	`associate-r` `associate-l`
4×	`pow1` `associate-r/` `associate-l/`
3×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `expm1-log1p-u` `sub-neg` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `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 → 85

Calls

2 calls:

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

series82.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(* (- y z) (- y t))
57.0ms	(/ x (* (- y z) (- y t)))

simplify49.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	390	703
1	1853	534
2	5003	534

prune173.0ms

Filtered

91 candidates to 57 candidates (62.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	87	4	91
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	87	5	92

Merged error: 0b

Counts

92 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

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` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 189

Calls

2 calls:

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

series95.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(/ x (- y z))
54.0ms	(/ (/ x (- y z)) (- y t))

simplify74.0ms

Algorithm

egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	648	1751
1	2335	1707
2	5003	1707

prune451.0ms

Filtered

195 candidates to 132 candidates (67.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	193	2	195
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	195	5	200

Merged error: 0b

Counts

200 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- y z))
0.1b	(/ (/ 1 (- y z)) (- y t))
7.3b	(* x (/ (/ 1 (- y z)) (- y t)))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

395×	`times-frac`
329×	`add-sqr-sqrt`
318×	`*-un-lft-identity`
157×	`add-cube-cbrt`
111×	`associate-r`
80×	`distribute-lft-out--` `difference-of-squares`
31×	`add-exp-log`
28×	`associate-/r/`
24×	`associate-/l*`
19×	`add-cbrt-cube`
14×	`flip3--` `div-exp` `flip--` `div-inv`
10×	`associate-/r*`
7×	`cbrt-undiv`
6×	`pow1`
5×	`prod-exp`
4×	`unswap-sqr`
3×	`expm1-log1p-u` `rec-exp` `1-exp` `associate-l` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`pow-flip` `associate-r/` `pow-prod-down` `-commutative` `associate-/l/` `inv-pow`

Counts

3 → 333

Calls

3 calls:

9.0ms	(/ 1 (- y z))
12.0ms	(/ (/ 1 (- y z)) (- y t))
34.0ms	(* x (/ (/ 1 (- y z)) (- y t)))

series165.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ 1 (- y z))
62.0ms	(/ (/ 1 (- y z)) (- y t))
70.0ms	(* x (/ (/ 1 (- y z)) (- y t)))

simplify97.0ms

Algorithm

egg-herbie

Counts

342 → 342

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	944	2776
1	4326	2534
2	5001	2298

prune552.0ms

Filtered

342 candidates to 172 candidates (50.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	342	0	342
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	342	5	347

Merged error: 0b

Counts

347 → 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)))

rewrite34.0ms

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×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `pow-flip` `associate-r/` `pow-prod-down` `associate-l/` `un-div-inv` `*-commutative` `inv-pow`

Counts

3 → 157

Calls

3 calls:

5.0ms	(/ 1 (- y t))
5.0ms	(/ x (- y z))
18.0ms	(* (/ x (- y z)) (/ 1 (- y t)))

series122.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ 1 (- y t))
27.0ms	(/ x (- y z))
58.0ms	(* (/ x (- y z)) (/ 1 (- y t)))

simplify54.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	541	934
1	2227	819
2	5001	777

prune319.0ms

Filtered

166 candidates to 102 candidates (61.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	166	0	166
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	166	5	171

Merged error: 0b

Counts

171 → 5

regimes138.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample434.0ms

Algorithm

intervals

Results

229.0ms

8486×

body

valid