Details

sample29.0ms

Algorithm

intervals

Results

8.0ms	32×	body	1280	valid
6.0ms	171×	body	80	valid
5.0ms	30×	body	640	valid
2.0ms	19×	body	320	valid
0.0ms	4×	body	160	valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	3
1	12	3
2	16	3
3	17	3
4	17	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: 0.1b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 63

Calls

2 calls:

7.0ms	(* x (/ (sin y) y))
7.0ms	(/ (sin y) y)

series83.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(* x (/ (sin y) y))
27.0ms	(/ (sin y) y)

simplify36.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	218	334
1	998	302
2	5001	302

prune132.0ms

Filtered

69 candidates to 52 candidates (75.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	63	6	69
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	64	6	70

Merged error: 0.0b

Counts

70 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(log1p (/ (sin y) y))
0.0b	(expm1 (log1p (/ (sin y) y)))
0.1b	(* x (expm1 (log1p (/ (sin y) y))))
0.1b	(/ (sin y) y)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

1.0ms	(log1p (/ (sin y) y))
1.0ms	(expm1 (log1p (/ (sin y) y)))
3.0ms	(* x (expm1 (log1p (/ (sin y) y))))
4.0ms	(/ (sin y) y)

series292.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(log1p (/ (sin y) y))
150.0ms	(expm1 (log1p (/ (sin y) y)))
77.0ms	(* x (expm1 (log1p (/ (sin y) y))))
25.0ms	(/ (sin y) y)

simplify138.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 3 (132.0ms)

Iter	Nodes	Cost
0	232	418
1	864	368
2	4325	365
3	5002	363

prune154.0ms

Filtered

83 candidates to 66 candidates (79.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	83	6	89

Merged error: 0.0b

Counts

89 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
0.4b	(cbrt (/ (sin y) y))
0.4b	(cbrt (/ (sin y) y))
0.4b	(cbrt (/ (sin y) y))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`add-cube-cbrt` `*-un-lft-identity`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 152

Calls

4 calls:

15.0ms	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
2.0ms	(cbrt (/ (sin y) y))
2.0ms	(cbrt (/ (sin y) y))
2.0ms	(cbrt (/ (sin y) y))

series538.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
126.0ms	(cbrt (/ (sin y) y))
126.0ms	(cbrt (/ (sin y) y))
124.0ms	(cbrt (/ (sin y) y))

simplify44.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	302	1455
1	1021	1402
2	5001	1328

prune369.0ms

Filtered

164 candidates to 134 candidates (81.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	163	1	164
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	164	6	170

Merged error: 0.0b

Counts

170 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (/ (sin y) y))
0.4b	(cbrt (/ (sin y) y))
0.6b	(cbrt (/ 1 y))
0.6b	(cbrt (sin y))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

42×	`cbrt-prod`
27×	`times-frac`
26×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-div` `div-inv`

Counts

4 → 85

Calls

4 calls:

2.0ms	(cbrt (/ (sin y) y))
2.0ms	(cbrt (/ (sin y) y))
2.0ms	(cbrt (/ 1 y))
2.0ms	(cbrt (sin y))

series584.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(cbrt (/ (sin y) y))
129.0ms	(cbrt (/ (sin y) y))
189.0ms	(cbrt (/ 1 y))
128.0ms	(cbrt (sin y))

simplify85.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 3 (77.0ms)

Iter	Nodes	Cost
0	247	580
1	677	556
2	2822	533
3	5001	498

prune255.0ms

Filtered

97 candidates to 74 candidates (76.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	97	6	103

Merged error: 0.0b

Counts

103 → 6

regimes92.0ms

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	8	5
1	8	5

end0.0ms

sample804.0ms

Algorithm

intervals

Results

223.0ms	897×	body	1280	valid
180.0ms	5236×	body	80	valid
165.0ms	1013×	body	640	valid
64.0ms	539×	body	320	valid
24.0ms	315×	body	160	valid