Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

341×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	3
1	11	3
2	11	3

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: 4.6b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

10.8b

(/ x (* y y))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 79

Calls

1 calls:

8.0ms

(/ x (* y y))

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(/ x (* y y))

simplify41.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	262	405
1	1165	378
2	5001	365

prune101.0ms

Filtered

82 candidates to 49 candidates (59.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	77	5	82
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	77	6	83

Merged error: 0.0b

Counts

83 → 6

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b	(/ (/ x y) y)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
45×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`associate-/l*`
9×	`associate-/l/`
6×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
5×	`div-inv`
3×	`cbrt-undiv` `div-exp`
2×	`frac-2neg` `clear-num`
1×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`

Counts

1 → 80

Calls

1 calls:

7.0ms

(/ (/ x y) y)

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

(/ (/ x y) y)

simplify38.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	322	472
1	1192	438
2	5001	429

prune111.0ms

Filtered

83 candidates to 56 candidates (67.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	80	3	83
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	82	7	89

Merged error: 0.0b

Counts

89 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b	(* y (/ y x))
0.4b	(/ (/ 1 1) (* y (/ y x)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

665×	`times-frac`
385×	`add-sqr-sqrt`
312×	`*-un-lft-identity`
310×	`add-cube-cbrt`
195×	`associate-r`
67×	`add-exp-log`
45×	`associate-l`
41×	`div-exp`
40×	`div-inv`
32×	`associate-/r*`
30×	`unswap-sqr`
28×	`add-cbrt-cube`
24×	`associate-/l*`
18×	`associate-*r/`
16×	`prod-exp`
15×	`1-exp` `*-commutative`
12×	`cbrt-undiv`
11×	`associate-/r/`
9×	`associate-/l/`
6×	`rec-exp` `clear-num` `cbrt-unprod`
4×	`pow1` `frac-2neg` `un-div-inv`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`pow-prod-down`

Counts

2 → 438

Calls

2 calls:

8.0ms	(* y (/ y x))
25.0ms	(/ (/ 1 1) (* y (/ y x)))

series47.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(* y (/ y x))
18.0ms	(/ (/ 1 1) (* y (/ y x)))

simplify82.0ms

Algorithm

egg-herbie

Counts

444 → 444

Iterations

Useful iterations: 1 (40.0ms)

Iter	Nodes	Cost
0	1867	3590
1	5001	3034

prune292.0ms

Filtered

444 candidates to 132 candidates (29.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	442	2	444
Fresh	3	1	4
Picked	0	1	1
Done	1	1	2
Total	446	5	451

Merged error: 0b

Counts

451 → 5

localize9.0ms

Local error

Found 2 expressions with local error:

0.3b	(* (/ (* (cbrt 1) (cbrt 1)) (/ y x)) (/ (cbrt 1) y))
0.7b	(/ (* (cbrt 1) (cbrt 1)) (/ y x))

rewrite585.0ms

Algorithm

rewrite-expression-head

Rules

2059×	`add-sqr-sqrt`
1825×	`times-frac`
1409×	`*-un-lft-identity`
1306×	`cbrt-prod`
1073×	`add-cube-cbrt`
749×	`associate-/l*`
669×	`associate-l`
576×	`frac-times`
556×	`unswap-sqr`
335×	`associate-/r*`
264×	`swap-sqr`
262×	`associate-r`
149×	`add-cbrt-cube`
82×	`cbrt-undiv`
81×	`div-inv`
66×	`clear-num`
65×	`frac-2neg` `cbrt-unprod`
55×	`add-exp-log`
49×	`*-commutative`
48×	`associate-*l/`
23×	`div-exp`
18×	`associate-/r/`
16×	`prod-exp`
12×	`associate-*r/`
4×	`pow1`
2×	`expm1-log1p-u` `un-div-inv` `log1p-expm1-u` `add-log-exp`
1×	`pow-prod-down`

Counts

2 → 1763

Calls

2 calls:

179.0ms	(* (/ (* (cbrt 1) (cbrt 1)) (/ y x)) (/ (cbrt 1) y))
23.0ms	(/ (* (cbrt 1) (cbrt 1)) (/ y x))

series29.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(* (/ (* (cbrt 1) (cbrt 1)) (/ y x)) (/ (cbrt 1) y))
10.0ms	(/ (* (cbrt 1) (cbrt 1)) (/ y x))

simplify255.0ms

Algorithm

egg-herbie

Counts

1769 → 1769

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5001	22466

prune3.4s

Filtered

1769 candidates to 1149 candidates (65.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	1769	0	1769
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	1769	5	1774

Merged error: 0b

Counts

1774 → 5

regimes95.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	4
1	12	4

end0.0ms

sample359.0ms

Algorithm

intervals

Results

201.0ms

10645×

body

valid