Details

sample41.0ms

Algorithm

intervals

Results

11.0ms	185×	body	80	valid
10.0ms	35×	body	1280	valid
5.0ms	27×	body	640	valid
3.0ms	22×	body	320	valid
2.0ms	16×	body	160	valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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×	`associate-l` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-*r/` `clear-num` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 83

Calls

3 calls:

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

series146.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(* x (/ (sin y) y))
25.0ms	(/ (sin y) y)
68.0ms	(/ (* x (/ (sin y) y)) z)

simplify47.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	326	487
1	1643	420
2	5001	420

prune172.0ms

Filtered

92 candidates to 66 candidates (71.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	85	7	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	7	93

Merged error: 0.0b

Counts

93 → 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))

rewrite30.0ms

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×	`associate-l` `prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `clear-num`
1×	`associate-r/` `pow-prod-down` `-commutative` `associate-/l/`

Counts

3 → 162

Calls

3 calls:

6.0ms	(/ (/ (sin y) y) z)
4.0ms	(/ (sin y) y)
13.0ms	(* x (/ (/ (sin y) y) z))

series129.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ (/ (sin y) y) z)
24.0ms	(/ (sin y) y)
69.0ms	(* x (/ (/ (sin y) y) z))

simplify77.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	605	1176
1	2862	1100
2	5001	1100

prune338.0ms

Filtered

171 candidates to 137 candidates (80.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	171	0	171
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	171	7	178

Merged error: 0.0b

Counts

178 → 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)))

rewrite43.0ms

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` `frac-2neg` `clear-num` `add-log-exp`

Counts

3 → 293

Calls

3 calls:

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

series179.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(/ z (/ (sin y) y))
25.0ms	(/ (sin y) y)
82.0ms	(/ x (/ z (/ (sin y) y)))

simplify62.0ms

Algorithm

egg-herbie

Counts

302 → 302

Iterations

Useful iterations: 1 (34.0ms)

Iter	Nodes	Cost
0	1110	2950
1	5001	2830

prune661.0ms

Filtered

302 candidates to 258 candidates (85.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	301	1	302
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	302	7	309

Merged error: 0b

Counts

309 → 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))

rewrite26.0ms

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×	`rec-exp` `1-exp` `associate-/r` `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 → 105

Calls

3 calls:

6.0ms	(* x (/ (sin y) y))
4.0ms	(/ (sin y) y)
9.0ms	(* (* x (/ (sin y) y)) (/ 1 z))

series146.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(* x (/ (sin y) y))
30.0ms	(/ (sin y) y)
65.0ms	(* (* x (/ (sin y) y)) (/ 1 z))

simplify67.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	480	667
1	2656	552
2	5001	539

prune170.0ms

Filtered

114 candidates to 72 candidates (63.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	114	7	121

Merged error: 0b

Counts

121 → 7

regimes143.0ms

Accuracy

41% (1.7b remaining)

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

bsearch30.0ms

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

314.0ms	1054×	body	1280	valid
263.0ms	5753×	body	80	valid
201.0ms	995×	body	640	valid
78.0ms	569×	body	320	valid
33.0ms	300×	body	160	valid