Details

sample38.0ms

Algorithm

intervals

Results

11.0ms	39×	body	1280	valid
8.0ms	183×	body	80	valid
6.0ms	31×	body	640	valid
2.0ms	14×	body	320	valid
1.0ms	8×	body	160	valid

simplify10.0ms

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: 3.6b

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:

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

series144.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(* x (/ (sin y) y))
23.0ms	(/ (sin y) y)
67.0ms	(/ (* x (/ (sin y) y)) z)

simplify47.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 1 (11.0ms)

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

prune180.0ms

Filtered

98 candidates to 72 candidates (73.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	89	9	98
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	90	9	99

Merged error: 0.0b

Counts

99 → 9

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ z (/ (sin y) y))
0.1b	(/ (sin y) y)
2.7b	(/ x (/ z (/ (sin y) y)))

rewrite42.0ms

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:

6.0ms	(/ z (/ (sin y) y))
4.0ms	(/ (sin y) y)
12.0ms	(/ x (/ z (/ (sin y) y)))

series176.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(/ z (/ (sin y) y))
24.0ms	(/ (sin y) y)
83.0ms	(/ x (/ z (/ (sin y) y)))

simplify63.0ms

Algorithm

egg-herbie

Counts

308 → 308

Iterations

Useful iterations: 1 (33.0ms)

Iter	Nodes	Cost
0	1117	2974
1	5001	2852

prune687.0ms

Filtered

308 candidates to 264 candidates (85.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	305	3	308
Fresh	5	3	8
Picked	0	1	1
Done	0	0	0
Total	310	7	317

Merged error: 0b

Counts

317 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (* (sin y) (/ 1 y)))
0.2b	(* (sin y) (/ 1 y))
3.5b	(/ (* x (* (sin y) (/ 1 y))) z)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 95

Calls

3 calls:

8.0ms	(* x (* (sin y) (/ 1 y)))
8.0ms	(* (sin y) (/ 1 y))
10.0ms	(/ (* x (* (sin y) (/ 1 y))) z)

series150.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(* x (* (sin y) (/ 1 y)))
25.0ms	(* (sin y) (/ 1 y))
70.0ms	(/ (* x (* (sin y) (/ 1 y))) z)

simplify56.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	422	595
1	2107	461
2	5002	439

prune145.0ms

Filtered

104 candidates to 66 candidates (63.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	104	7	111

Merged error: 0b

Counts

111 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (sin y))
3.5b	(/ (/ (* x (sin y)) y) z)
7.8b	(/ (* x (sin y)) y)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 93

Calls

3 calls:

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

series153.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(* x (sin y))
68.0ms	(/ (/ (* x (sin y)) y) z)
50.0ms	(/ (* x (sin y)) y)

simplify56.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	358	588
1	1781	519
2	5002	519

prune154.0ms

Filtered

102 candidates to 77 candidates (75.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	102	7	109

Merged error: 0b

Counts

109 → 7

regimes108.0ms

Accuracy

41.8% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 3.1b

bsearch49.0ms

Steps

Iters	Range		Point
10	3.3242143547992065e-80	3.882693328819774e-70	2.6111981093265032e-70

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	8
1	14	8

end0.0ms

sample1.1s

Algorithm

intervals

Results

305.0ms	1033×	body	1280	valid
282.0ms	5853×	body	80	valid
209.0ms	1012×	body	640	valid
81.0ms	536×	body	320	valid
32.0ms	288×	body	160	valid