Details

sample39.0ms

Algorithm

intervals

Results

10.0ms	35×	body	1280	valid
8.0ms	185×	body	80	valid
5.0ms	27×	body	640	valid
3.0ms	22×	body	320	valid
2.0ms	16×	body	160	valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	4
1	24	4
2	48	4
3	71	4
4	79	4
5	79	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: 3.5b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
3.5b	(/ (* x (/ (sin y) y)) z)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 89

Calls

3 calls:

7.0ms	(* x (/ (sin y) y))
4.0ms	(/ (sin y) y)
6.0ms	(/ (* x (/ (sin y) y)) z)

series147.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(* x (/ (sin y) y))
24.0ms	(/ (sin y) y)
68.0ms	(/ (* x (/ (sin y) y)) z)

simplify48.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	333	511
1	1655	443
2	5001	443

prune195.0ms

Filtered

98 candidates to 72 candidates (73.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	91	7	98
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	92	7	99

Merged error: 0.0b

Counts

99 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (/ (sin y) y) z)
0.1b	(/ (sin y) y)
1.8b	(* x (/ (/ (sin y) y) z))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

153×	`times-frac`
98×	`add-sqr-sqrt`
89×	`add-cube-cbrt` `*-un-lft-identity`
43×	`associate-r`
19×	`add-exp-log` `add-cbrt-cube`
16×	`associate-/l*`
10×	`div-inv`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r*`
5×	`pow1`
3×	`expm1-log1p-u` `associate-l` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `clear-num`
1×	`associate-r/` `pow-prod-down` `-commutative` `associate-/l/`

Counts

3 → 168

Calls

3 calls:

6.0ms	(/ (/ (sin y) y) z)
4.0ms	(/ (sin y) y)
17.0ms	(* x (/ (/ (sin y) y) z))

series127.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(/ (/ (sin y) y) z)
25.0ms	(/ (sin y) y)
70.0ms	(* x (/ (/ (sin y) y) z))

simplify72.0ms

Algorithm

egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	616	1200
1	2881	1122
2	5002	1122

prune345.0ms

Filtered

177 candidates to 143 candidates (80.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	177	0	177
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	177	7	184

Merged error: 0.0b

Counts

184 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ z (/ (sin y) y))
0.1b	(/ (sin y) y)
2.1b	(/ x (/ z (/ (sin y) y)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

480×	`times-frac`
238×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
60×	`associate-/r*`
23×	`div-inv`
19×	`add-exp-log` `add-cbrt-cube`
10×	`cbrt-undiv` `div-exp`
9×	`associate-/l*`
6×	`associate-/r/`
3×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`

Counts

3 → 299

Calls

3 calls:

5.0ms	(/ z (/ (sin y) y))
4.0ms	(/ (sin y) y)
12.0ms	(/ x (/ z (/ (sin y) y)))

series172.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(/ z (/ (sin y) y))
29.0ms	(/ (sin y) y)
79.0ms	(/ x (/ z (/ (sin y) y)))

simplify65.0ms

Algorithm

egg-herbie

Counts

308 → 308

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1117	2974
1	5001	2852

prune686.0ms

Filtered

308 candidates to 264 candidates (85.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	307	1	308
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	308	7	315

Merged error: 0b

Counts

315 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
3.6b	(* (* x (/ (sin y) y)) (/ 1 z))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log`
31×	`add-sqr-sqrt` `add-cbrt-cube`
28×	`times-frac`
26×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
22×	`prod-exp`
12×	`div-exp` `cbrt-unprod`
10×	`pow1`
7×	`cbrt-undiv`
4×	`associate-r/` `associate-l*` `pow-prod-down`
3×	`expm1-log1p-u` `rec-exp` `1-exp` `associate-/r` `log1p-expm1-u` `div-inv` `associate-/l` `add-log-exp`
2×	`*-commutative` `unswap-sqr`
1×	`frac-times` `frac-2neg` `associate-*l/` `clear-num` `un-div-inv`

Counts

3 → 111

Calls

3 calls:

10.0ms	(* x (/ (sin y) y))
4.0ms	(/ (sin y) y)
10.0ms	(* (* x (/ (sin y) y)) (/ 1 z))

series146.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(* x (/ (sin y) y))
30.0ms	(/ (sin y) y)
65.0ms	(* (* x (/ (sin y) y)) (/ 1 z))

simplify66.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	487	693
1	2670	577
2	5001	564

prune186.0ms

Filtered

120 candidates to 78 candidates (65.0%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	120	7	127

Merged error: 0b

Counts

127 → 7

regimes142.0ms

Accuracy

41% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 2.9b

bsearch32.0ms

Steps

Iters	Range		Point
6	1.1601397872781474e+51	9.306852276147588e+51	1.3884607435933613e+51

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	9
1	18	9

end0.0ms

sample1.1s

Algorithm

intervals

Results

317.0ms	1054×	body	1280	valid
270.0ms	5753×	body	80	valid
205.0ms	995×	body	640	valid
81.0ms	569×	body	320	valid
30.0ms	300×	body	160	valid