Details

sample24.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify39.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	27	8
1	63	8
2	149	8
3	358	8
4	840	8
5	5001	8

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

localize11.0ms

Local error

Found 2 expressions with local error:

1.1b	(- (* (* z 2.0) z) (* y t))
18.5b	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
3×	`cbrt-undiv` `times-frac` `div-exp` `prod-exp` `associate-/r*` `cbrt-unprod`
2×	`pow1` `expm1-log1p-u` `flip3--` `associate-/r/` `flip--` `log1p-expm1-u`
1×	`sub-neg` `frac-2neg` `fma-neg` `diff-log` `prod-diff` `clear-num` `div-inv` `associate-/l*`

Counts

2 → 43

Calls

2 calls:

5.0ms	(- (* (* z 2.0) z) (* y t))
10.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series218.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(- (* (* z 2.0) z) (* y t))
179.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify44.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	281	415
1	1422	344
2	5002	344

prune113.0ms

Filtered

49 candidates to 36 candidates (73.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	44	5	49
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	5	50

Merged error: 4.2b

Counts

50 → 5

localize11.0ms

Local error

Found 3 expressions with local error:

1.1b	(- (* (* z 2.0) z) (* y t))
4.8b	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
17.3b	(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

40×	`times-frac`
25×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
17×	`add-exp-log` `add-cbrt-cube`
16×	`associate-/r*`
7×	`cbrt-undiv` `div-exp`
5×	`add-log-exp`
4×	`div-inv` `associate-/l*`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
2×	`flip3--` `frac-2neg` `prod-exp` `clear-num` `flip--` `cbrt-unprod` `associate-/l/`
1×	`sub-neg` `fma-neg` `diff-log` `div-sub` `prod-diff` `associate-/r/`

Counts

3 → 96

Calls

3 calls:

5.0ms	(- (* (* z 2.0) z) (* y t))
9.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
8.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

series273.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(- (* (* z 2.0) z) (* y t))
182.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
54.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

simplify71.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	438	968
1	2164	856
2	5002	849

prune225.0ms

Filtered

105 candidates to 80 candidates (76.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	101	4	105
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	103	7	110

Merged error: 2.2b

Counts

110 → 7

localize10.0ms

Local error

Found 2 expressions with local error:

4.8b	(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))
5.9b	(/ (* t y) z)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-exp-log` `add-cbrt-cube`
6×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-/r`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `prod-exp` `clear-num` `associate-/r/` `cbrt-unprod` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`
1×	`flip3--` `flip--`

Counts

2 → 48

Calls

2 calls:

8.0ms	(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))
5.0ms	(/ (* t y) z)

series185.0ms

Counts

2 → 6

Calls

2 calls:

165.0ms	(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))
20.0ms	(/ (* t y) z)

simplify34.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	265	322
1	1274	272
2	5001	272

prune105.0ms

Filtered

54 candidates to 38 candidates (70.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	52	2	54
Fresh	3	3	6
Picked	1	0	1
Done	0	0	0
Total	56	5	61

Merged error: 0.5b

Counts

61 → 5

localize10.0ms

Local error

Found 2 expressions with local error:

4.4b	(* t (/ y z))
4.8b	(/ (* y 2.0) (- (* z 2.0) (* t (/ y z))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`times-frac` `associate-r`
12×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
4×	`pow1`
3×	`cbrt-undiv` `div-exp` `associate-l` `prod-exp` `associate-/r*` `cbrt-unprod`
2×	`expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`flip3--` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `flip--` `associate-/l*`

Counts

2 → 59

Calls

2 calls:

7.0ms	(* t (/ y z))
7.0ms	(/ (* y 2.0) (- (* z 2.0) (* t (/ y z))))

series183.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(* t (/ y z))
163.0ms	(/ (* y 2.0) (- (* z 2.0) (* t (/ y z))))

simplify41.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	322	370
1	1550	320
2	5001	320

prune108.0ms

Filtered

65 candidates to 47 candidates (72.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

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

Merged error: 0.5b

Counts

70 → 5

regimes126.0ms

Accuracy

28.7% (1.4b remaining)

Error of 1.9b against oracle of 0.5b and baseline of 2.5b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	23
1	34	23

end0.0ms

sample505.0ms

Algorithm

intervals

Results

304.0ms

8000×

body

valid