Details

sample54.0ms

Algorithm

intervals

Results

28.0ms	64×	body	1280	valid
11.0ms	48×	body	640	valid
3.0ms	27×	body	320	valid
2.0ms	95×	body	80	valid
1.0ms	22×	body	160	valid
1.0ms	97×	body	80	nan

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: 37.5b

localize4.0ms

Local error

Found 1 expressions with local error:

4.9b	(log (+ 1.0 x))

rewrite5.0ms

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:

5.0ms

(log (+ 1.0 x))

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

(log (+ 1.0 x))

simplify40.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 3 (38.0ms)

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

prune42.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite97.0ms

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:

40.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
50.0ms	(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))

series92.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
44.0ms	(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))

simplify75.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (64.0ms)

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

prune362.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (- (* 1.0 1.0) (* x x))) (log (- 1.0 x)))
2.1b	(log (- (* 1.0 1.0) (* x x)))
4.9b	(log (- 1.0 x))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

18×	`log-prod`
15×	`*-un-lft-identity`
13×	`add-sqr-sqrt`
9×	`pow1`
8×	`log-div`
7×	`add-cube-cbrt`
6×	`log-pow` `distribute-lft-out--`
5×	`add-exp-log` `flip3--` `flip--` `associate--r+` `difference-of-squares`
4×	`associate--l+`
3×	`add-cbrt-cube` `add-log-exp`
2×	`associate--l-` `rem-log-exp` `associate--r-`
1×	`sub-neg` `diff-log`

Counts

3 → 61

Calls

3 calls:

17.0ms	(- (log (- (* 1.0 1.0) (* x x))) (log (- 1.0 x)))
8.0ms	(log (- (* 1.0 1.0) (* x x)))
5.0ms	(log (- 1.0 x))

series266.0ms

Counts

3 → 9

Calls

3 calls:

115.0ms	(- (log (- (* 1.0 1.0) (* x x))) (log (- 1.0 x)))
106.0ms	(log (- (* 1.0 1.0) (* x x)))
44.0ms	(log (- 1.0 x))

simplify166.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (159.0ms)

Iter	Nodes	Cost
0	354	554
1	1112	523
2	4507	480
3	5001	470

prune229.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

2.1b	(log (- (* 1.0 1.0) (* x x)))
4.9b	(log (- 1.0 x))
4.9b	(log (- 1.0 x))
4.9b	(log (- 1.0 x))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

19×	`log-prod`
14×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`pow1` `add-exp-log` `add-cube-cbrt` `log-div`
4×	`flip3--` `rem-log-exp` `log-pow` `add-cbrt-cube` `flip--` `add-log-exp` `difference-of-squares`
3×	`distribute-lft-out--`

Counts

4 → 63

Calls

4 calls:

8.0ms	(log (- (* 1.0 1.0) (* x x)))
9.0ms	(log (- 1.0 x))
5.0ms	(log (- 1.0 x))
5.0ms	(log (- 1.0 x))

series242.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(log (- (* 1.0 1.0) (* x x)))
40.0ms	(log (- 1.0 x))
47.0ms	(log (- 1.0 x))
41.0ms	(log (- 1.0 x))

simplify103.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	249	463
1	814	419
2	3073	403
3	5003	403

prune389.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes87.0ms

Accuracy

98.9% (0.2b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 21.5b

bsearch2.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	11
1	21	11

end0.0ms

sample1.7s

Algorithm

intervals

Results

971.0ms	2229×	body	1280	valid
349.0ms	1701×	body	640	valid
94.0ms	889×	body	320	valid
58.0ms	2785×	body	80	valid
36.0ms	2791×	body	80	nan
24.0ms	396×	body	160	valid