Details

sample60.0ms

Algorithm

intervals

Results

29.0ms	66×	body	1280	valid
14.0ms	62×	body	640	valid
3.0ms	93×	body	80	valid
3.0ms	20×	body	320	valid
2.0ms	89×	body	80	nan
1.0ms	15×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	2
1	5	2

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.8b

localize4.0ms

Local error

Found 1 expressions with local error:

4.2b	(log (+ 1.0 x))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

4×	`log-prod` `*-un-lft-identity`
2×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `log-div`
1×	`flip3-+` `rem-log-exp` `log-pow` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

1 → 15

Calls

1 calls:

3.0ms

(log (+ 1.0 x))

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(log (+ 1.0 x))

simplify39.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 3 (37.0ms)

Iter	Nodes	Cost
0	122	95
1	327	86
2	1161	81
3	5002	78

prune52.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.3b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
0.0b	(* 1/2 (/ (pow x 2) (pow 1.0 2)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
70×	`add-sqr-sqrt`
68×	`associate-r`
56×	`unpow-prod-down`
36×	`add-cube-cbrt` `*-un-lft-identity`
25×	`add-exp-log`
24×	`unpow2` `sqr-pow`
17×	`unswap-sqr`
10×	`prod-exp`
9×	`div-exp`
7×	`add-cbrt-cube`
6×	`pow-to-exp` `pow-exp` `add-log-exp`
4×	`pow1`
3×	`associate-r/` `associate-l*`
2×	`diff-log` `frac-sub` `cbrt-unprod`
1×	`cbrt-undiv` `sub-neg` `flip3--` `flip3-+` `pow-prod-down` `associate--l+` `sum-log` `*-commutative` `flip--` `flip-+` `div-inv`

Counts

2 → 126

Calls

2 calls:

24.0ms	(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
35.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))

series96.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
56.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))

simplify78.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	676	882
1	2962	760
2	5001	756

prune304.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.3b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
2.7b	(log (exp (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
71×	`add-sqr-sqrt`
68×	`associate-r`
56×	`unpow-prod-down`
37×	`add-cube-cbrt` `*-un-lft-identity`
25×	`add-exp-log`
24×	`unpow2` `sqr-pow`
17×	`unswap-sqr`
10×	`prod-exp`
9×	`div-exp`
7×	`add-cbrt-cube`
6×	`pow-to-exp` `pow-exp`
5×	`pow1`
3×	`log-prod` `associate-l` `log-pow` `add-log-exp`
2×	`cbrt-unprod`
1×	`cbrt-undiv` `exp-prod` `exp-to-pow` `associate-r/` `rem-log-exp` `pow-prod-down` `-commutative` `div-inv`

Counts

2 → 124

Calls

2 calls:

30.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
1.0ms	(log (exp (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

series109.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
55.0ms	(log (exp (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

simplify56.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	549	737
1	2330	610
2	5001	609

prune346.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.3b

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 1.0 x))
0.0b	(sqrt (+ 1.0 x))
4.3b	(log (sqrt (+ 1.0 x)))
4.3b	(log (sqrt (+ 1.0 x)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
16×	`sqrt-prod`
14×	`log-prod`
12×	`add-sqr-sqrt`
10×	`pow1` `add-cube-cbrt`
8×	`sqrt-div`
6×	`add-exp-log` `log-pow`
4×	`log-div` `sqrt-pow1` `flip3-+` `pow1/2` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`
2×	`rem-sqrt-square` `rem-log-exp`

Counts

4 → 72

Calls

4 calls:

4.0ms	(sqrt (+ 1.0 x))
4.0ms	(sqrt (+ 1.0 x))
3.0ms	(log (sqrt (+ 1.0 x)))
3.0ms	(log (sqrt (+ 1.0 x)))

series238.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(sqrt (+ 1.0 x))
30.0ms	(sqrt (+ 1.0 x))
84.0ms	(log (sqrt (+ 1.0 x)))
86.0ms	(log (sqrt (+ 1.0 x)))

simplify57.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (51.0ms)

Iter	Nodes	Cost
0	176	482
1	484	436
2	1819	418
3	5002	406

prune180.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.2b

regimes115.0ms

Accuracy

98.7% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 21.6b

bsearch2.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	16
1	27	16

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.0s	2209×	body	1280	valid
389.0ms	1694×	body	640	valid
109.0ms	823×	body	320	valid
105.0ms	2819×	body	80	valid
60.0ms	2687×	body	80	nan
38.0ms	455×	body	160	valid