Details

sample23.0ms

Algorithm

intervals

Results

10.0ms

345×

body

valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 9.9b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

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:

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

series96.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(- (* x y) (* z t))
54.0ms	(/ (- (* x y) (* z t)) a)

simplify80.0ms

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

prune123.0ms

Filtered

48 candidates to 37 candidates (77.1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	36	12	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	37	12	49

Merged error: 9.5b

Counts

49 → 12

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ (* x y) a) (/ (* t z) a))
5.7b	(/ (* x y) a)
7.2b	(/ (* t z) a)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 59

Calls

3 calls:

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

series102.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(- (/ (* x y) a) (/ (* t z) a))
18.0ms	(/ (* x y) a)
21.0ms	(/ (* t z) a)

simplify36.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	275	315
1	1238	283
2	5001	283

prune127.0ms

Filtered

68 candidates to 46 candidates (67.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	62	6	68
Fresh	6	5	11
Picked	1	0	1
Done	0	0	0
Total	69	11	80

Merged error: 0.5b

Counts

80 → 11

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ (* x y) a) (* t (/ z a)))
4.5b	(* t (/ z a))
5.7b	(/ (* x y) a)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
13×	`add-exp-log` `add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-r*` `add-cbrt-cube`
5×	`pow1` `add-log-exp`
3×	`cbrt-undiv` `associate-r/` `div-exp` `associate-l` `prod-exp` `associate-/r` `cbrt-unprod`
2×	`div-inv` `unswap-sqr`
1×	`sub-neg` `flip3--` `frac-2neg` `diff-log` `pow-prod-down` `clear-num` `-commutative` `frac-sub` `flip--` `associate-/l` `sub-div`

Counts

3 → 67

Calls

3 calls:

5.0ms	(- (/ (* x y) a) (* t (/ z a)))
6.0ms	(* t (/ z a))
4.0ms	(/ (* x y) a)

series100.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(- (/ (* x y) a) (* t (/ z a)))
21.0ms	(* t (/ z a))
18.0ms	(/ (* x y) a)

simplify41.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	335	341
1	1533	309
2	5001	309

prune136.0ms

Filtered

76 candidates to 51 candidates (67.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	74	2	76
Fresh	3	7	10
Picked	1	0	1
Done	0	0	0
Total	78	9	87

Merged error: 0.0b

Counts

87 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt a)
0.6b	(cbrt a)
3.8b	(* (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)))
4.5b	(* t (/ z a))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
38×	`times-frac`
35×	`associate-r`
30×	`add-exp-log`
29×	`add-cube-cbrt` `*-un-lft-identity`
23×	`add-cbrt-cube`
17×	`cbrt-prod`
10×	`associate-l` `prod-exp` `cbrt-unprod`
8×	`pow1` `cbrt-undiv` `div-exp` `unswap-sqr`
4×	`add-log-exp`
3×	`div-inv`
2×	`pow1/3` `associate-r/` `pow-prod-down` `-commutative`
1×	`frac-times` `associate-*l/`

Counts

4 → 113

Calls

4 calls:

1.0ms	(cbrt a)
1.0ms	(cbrt a)
14.0ms	(* (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)))
6.0ms	(* t (/ z a))

series411.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(cbrt a)
177.0ms	(cbrt a)
46.0ms	(* (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)))
21.0ms	(* t (/ z a))

simplify68.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	574	814
1	2958	658
2	5002	621

prune280.0ms

Filtered

125 candidates to 94 candidates (75.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	125	9	134

Merged error: 0.0b

Counts

134 → 9

regimes429.0ms

Accuracy

79.2% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 7.5b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	16
1	32	16

end0.0ms

sample666.0ms

Algorithm

intervals

Results

340.0ms

11129×

body

valid