Details

sample158.0ms

Algorithm

intervals

Results

102.0ms	116×	body	1280	valid
31.0ms	75×	body	640	valid
9.0ms	42×	body	320	valid
4.0ms	256×	pre	80	true
2.0ms	17×	body	160	valid
0.0ms	6×	body	80	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	5
1	11	5
2	11	5

prune3.0ms

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: 62.2b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
5.6b	(log (+ 1.0 x))
5.7b	(log (- 1.0 x))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

6×	`log-div`
2×	`flip3--` `div-sub` `flip--`
1×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv`

Counts

3 → 9

Calls

3 calls:

3.0ms	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
2.0ms	(log (+ 1.0 x))
2.0ms	(log (- 1.0 x))

series220.0ms

Counts

3 → 9

Calls

3 calls:

128.0ms	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
42.0ms	(log (+ 1.0 x))
49.0ms	(log (- 1.0 x))

simplify35.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	324	249
1	1243	245
2	5002	223

prune73.0ms

Filtered

18 candidates to 18 candidates (100.0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	15	3	18
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	16	3	19

Merged error: 59.8b

Counts

19 → 3

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (log (- 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
5.7b	(log (- 1.0 x))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

18×	`associate-/r/`
16×	`frac-sub`
14×	`associate-*r/`
8×	`flip3-+` `flip-+`
5×	`clear-num`
4×	`log-div` `associate-/r` `associate-/l` `unpow2` `sqr-pow`
3×	`flip3--` `frac-2neg` `flip--`
2×	`div-sub` `un-div-inv`
1×	`div-inv`

Counts

2 → 25

Calls

2 calls:

13.0ms	(/ (log (- 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
2.0ms	(log (- 1.0 x))

series182.0ms

Counts

2 → 6

Calls

2 calls:

139.0ms	(/ (log (- 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
43.0ms	(log (- 1.0 x))

simplify62.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	553	628
1	2125	626
2	5002	626

prune141.0ms

Filtered

31 candidates to 29 candidates (93.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	31	3	34

Merged error: 0.0b

Counts

34 → 3

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

18×	`associate-/r/`
16×	`frac-sub`
14×	`associate-*r/`
8×	`flip3-+` `flip-+`
5×	`clear-num`
4×	`associate-/r` `associate-/l` `unpow2` `sqr-pow`
3×	`frac-2neg` `div-sub`
2×	`flip3--` `un-div-inv` `flip--` `associate-/l/` `associate--r+`
1×	`+-commutative` `div-inv`

Counts

1 → 26

Calls

1 calls:

11.0ms

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

series125.0ms

Counts

1 → 3

Calls

1 calls:

125.0ms

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

simplify54.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	439	684
1	1675	683
2	5001	683

prune122.0ms

Filtered

29 candidates to 26 candidates (89.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	28	1	29
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	28	4	32

Merged error: 0b

Counts

32 → 4

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (+ (pow (* 1.0 x) 3) (pow (log 1.0) 3)) 1.0) (* (+ (* (* 1.0 x) (* 1.0 x)) (- (* (log 1.0) (log 1.0)) (* (* 1.0 x) (log 1.0)))) (* 1/2 (/ (pow x 2) 1.0))))
0.1b	(* (+ (* (* 1.0 x) (* 1.0 x)) (- (* (log 1.0) (log 1.0)) (* (* 1.0 x) (log 1.0)))) (* 1/2 (/ (pow x 2) 1.0)))
8.3b	(/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (- (* (+ (pow (* 1.0 x) 3) (pow (log 1.0) 3)) 1.0) (* (+ (* (* 1.0 x) (* 1.0 x)) (- (* (log 1.0) (log 1.0)) (* (* 1.0 x) (log 1.0)))) (* 1/2 (/ (pow x 2) 1.0)))))
31.5b	(* (/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (- (* (+ (pow (* 1.0 x) 3) (pow (log 1.0) 3)) 1.0) (* (+ (* (* 1.0 x) (* 1.0 x)) (- (* (log 1.0) (log 1.0)) (* (* 1.0 x) (log 1.0)))) (* 1/2 (/ (pow x 2) 1.0))))) (* (+ (* (* 1.0 x) (* 1.0 x)) (- (* (log 1.0) (log 1.0)) (* (* 1.0 x) (log 1.0)))) 1.0))

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

154×	`associate-*l/`
149×	`associate-*r/`
120×	`frac-sub`
116×	`flip3-+` `flip-+`
96×	`frac-times`
84×	`associate-/r/`
48×	`associate-l`
46×	`clear-num`
42×	`associate-/l*`
25×	`frac-2neg`
21×	`un-div-inv` `unpow2` `sqr-pow`
8×	`associate-/l/`
7×	`flip3--` `flip--`
6×	`associate-r`
5×	`sum-cubes` `distribute-lft-out--`
4×	`associate-/r` `-commutative`
3×	`div-sub` `div-inv`
2×	`associate--r+`
1×	`+-commutative` `sub-neg`

Counts

4 → 186

Calls

4 calls:

33.0ms	(- (* (+ (pow (* 1.0 x) 3) (pow (log 1.0) 3)) 1.0) (* (+ (* (* 1.0 x) (* 1.0 x)) (- (* (log 1.0) (log 1.0)) (* (* 1.0 x) (log 1.0)))) (* 1/2 (/ (pow x 2) 1.0))))
17.0ms	(* (+ (* (* 1.0 x) (* 1.0 x)) (- (* (log 1.0) (log 1.0)) (* (* 1.0 x) (log 1.0)))) (* 1/2 (/ (pow x 2) 1.0)))
33.0ms	(/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (- (* (+ (pow (* 1.0 x) 3) (pow (log 1.0) 3)) 1.0) (* (+ (* (* 1.0 x) (* 1.0 x)) (- (* (log 1.0) (log 1.0)) (* (* 1.0 x) (log 1.0)))) (* 1/2 (/ (pow x 2) 1.0)))))
54.0ms	(* (/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (- (* (+ (pow (* 1.0 x) 3) (pow (log 1.0) 3)) 1.0) (* (+ (* (* 1.0 x) (* 1.0 x)) (- (* (log 1.0) (log 1.0)) (* (* 1.0 x) (log 1.0)))) (* 1/2 (/ (pow x 2) 1.0))))) (* (+ (* (* 1.0 x) (* 1.0 x)) (- (* (log 1.0) (log 1.0)) (* (* 1.0 x) (log 1.0)))) 1.0))

series1.1s

Counts

4 → 12

Calls

4 calls:

151.0ms	(- (* (+ (pow (* 1.0 x) 3) (pow (log 1.0) 3)) 1.0) (* (+ (* (* 1.0 x) (* 1.0 x)) (- (* (log 1.0) (log 1.0)) (* (* 1.0 x) (log 1.0)))) (* 1/2 (/ (pow x 2) 1.0))))
107.0ms	(* (+ (* (* 1.0 x) (* 1.0 x)) (- (* (log 1.0) (log 1.0)) (* (* 1.0 x) (log 1.0)))) (* 1/2 (/ (pow x 2) 1.0)))
497.0ms	(/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (- (* (+ (pow (* 1.0 x) 3) (pow (log 1.0) 3)) 1.0) (* (+ (* (* 1.0 x) (* 1.0 x)) (- (* (log 1.0) (log 1.0)) (* (* 1.0 x) (log 1.0)))) (* 1/2 (/ (pow x 2) 1.0)))))
341.0ms	(* (/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (- (* (+ (pow (* 1.0 x) 3) (pow (log 1.0) 3)) 1.0) (* (+ (* (* 1.0 x) (* 1.0 x)) (- (* (log 1.0) (log 1.0)) (* (* 1.0 x) (log 1.0)))) (* 1/2 (/ (pow x 2) 1.0))))) (* (+ (* (* 1.0 x) (* 1.0 x)) (- (* (log 1.0) (log 1.0)) (* (* 1.0 x) (log 1.0)))) 1.0))

simplify125.0ms

Algorithm

egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 1 (41.0ms)

Iter	Nodes	Cost
0	1618	9987
1	5001	9753

prune1.5s

Filtered

198 candidates to 169 candidates (85.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	198	0	198
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	198	4	202

Merged error: 0b

Counts

202 → 4

regimes26.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	17
1	19	17

end0.0ms

sample4.5s

Algorithm

intervals

Results

3.0s	3467×	body	1280	valid
992.0ms	2448×	body	640	valid
239.0ms	1195×	body	320	valid
102.0ms	8000×	pre	80	true
75.0ms	662×	body	160	valid
11.0ms	228×	body	80	valid