Details

sample24.0ms

Algorithm

intervals

Results

10.0ms

360×

body

valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	4
1	33	4
2	45	4
3	63	4
4	69	4
5	69	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: 7.1b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x y) (* z t))
6.7b	(/ (- (* x y) (* z t)) a)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`pow1` `flip3--` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

2 → 42

Calls

2 calls:

6.0ms	(- (* x y) (* z t))
5.0ms	(/ (- (* x y) (* z t)) a)

series86.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(- (* x y) (* z t))
48.0ms	(/ (- (* x y) (* z t)) a)

simplify84.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	204	313
1	717	288
2	2700	288
3	5001	288

prune125.0ms

Filtered

48 candidates to 37 candidates (77.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	38	10	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	11	49

Merged error: 6.7b

Counts

49 → 11

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* z t))
0.2b	(/ 1 (/ a (- (* x y) (* z t))))
6.7b	(/ a (- (* x y) (* z t)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
55×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`associate-/r*`
16×	`add-exp-log`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp`
6×	`flip3--` `flip--` `div-inv` `associate-/l*`
5×	`add-log-exp`
4×	`pow1` `cbrt-undiv`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`sub-neg` `pow-flip` `diff-log` `inv-pow`

Counts

3 → 125

Calls

3 calls:

4.0ms	(- (* x y) (* z t))
8.0ms	(/ 1 (/ a (- (* x y) (* z t))))
5.0ms	(/ a (- (* x y) (* z t)))

series155.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(- (* x y) (* z t))
78.0ms	(/ 1 (/ a (- (* x y) (* z t))))
39.0ms	(/ a (- (* x y) (* z t)))

simplify53.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	428	1235
1	1872	1116
2	5001	1026

prune242.0ms

Filtered

134 candidates to 73 candidates (54.5%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	127	7	134
Fresh	6	3	9
Picked	0	1	1
Done	0	1	1
Total	133	12	145

Merged error: 6.7b

Counts

145 → 12

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x y) (* z t))
0.2b	(/ 1 (* a (/ 1 (- (* x y) (* z t)))))
1.2b	(/ 1 (- (* x y) (* z t)))
5.6b	(* a (/ 1 (- (* x y) (* z t))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-exp-log`
29×	`add-sqr-sqrt`
23×	`*-un-lft-identity` `times-frac`
22×	`add-cube-cbrt`
20×	`div-exp` `add-cbrt-cube`
16×	`prod-exp`
15×	`associate-r`
10×	`pow1` `rec-exp` `1-exp`
6×	`cbrt-undiv` `associate-/r/` `associate-/l*` `add-log-exp`
4×	`associate-/r*` `cbrt-unprod`
3×	`flip3--` `pow-flip` `associate-l` `flip--` `div-inv` `unswap-sqr`
2×	`frac-2neg` `associate-*r/` `pow-prod-down` `clear-num` `un-div-inv` `inv-pow`
1×	`sub-neg` `diff-log` `*-commutative`

Counts

4 → 123

Calls

4 calls:

3.0ms	(- (* x y) (* z t))
8.0ms	(/ 1 (* a (/ 1 (- (* x y) (* z t)))))
5.0ms	(/ 1 (- (* x y) (* z t)))
9.0ms	(* a (/ 1 (- (* x y) (* z t))))

series183.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(- (* x y) (* z t))
78.0ms	(/ 1 (* a (/ 1 (- (* x y) (* z t)))))
29.0ms	(/ 1 (- (* x y) (* z t)))
39.0ms	(* a (/ 1 (- (* x y) (* z t))))

simplify49.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	396	885
1	1746	733
2	5002	692

prune230.0ms

Filtered

135 candidates to 69 candidates (51.1%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	132	3	135
Fresh	3	6	9
Picked	0	1	1
Done	0	2	2
Total	135	12	147

Merged error: 6.7b

Counts

147 → 12

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* z t))
1.2b	(/ 1 (- (* x y) (* z t)))
5.6b	(/ (/ 1 a) (/ 1 (- (* x y) (* z t))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

474×	`times-frac`
221×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
47×	`add-exp-log`
34×	`div-exp`
32×	`div-inv`
31×	`associate-/r/`
18×	`associate-/r*`
17×	`add-cbrt-cube`
16×	`flip3--` `flip--` `associate-/l*`
9×	`cbrt-undiv` `rec-exp` `1-exp`
5×	`add-log-exp`
4×	`pow1`
2×	`frac-2neg` `clear-num`
1×	`sub-neg` `pow-flip` `diff-log` `associate-/l/` `inv-pow`

Counts

3 → 300

Calls

3 calls:

3.0ms	(- (* x y) (* z t))
5.0ms	(/ 1 (- (* x y) (* z t)))
13.0ms	(/ (/ 1 a) (/ 1 (- (* x y) (* z t))))

series151.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(- (* x y) (* z t))
31.0ms	(/ 1 (- (* x y) (* z t)))
81.0ms	(/ (/ 1 a) (/ 1 (- (* x y) (* z t))))

simplify74.0ms

Algorithm

egg-herbie

Counts

309 → 309

Iterations

Useful iterations: 1 (33.0ms)

Iter	Nodes	Cost
0	1357	4159
1	5002	3587

prune475.0ms

Filtered

309 candidates to 145 candidates (46.9%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	307	2	309
Fresh	3	5	8
Picked	0	1	1
Done	0	3	3
Total	310	11	321

Merged error: 6.7b

Counts

321 → 11

regimes348.0ms

Accuracy

0% (0.3b remaining)

Error of 7.2b against oracle of 6.9b and baseline of 7.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

sample653.0ms

Algorithm

intervals

Results

325.0ms

11227×

body

valid