Details

sample58.0ms

Algorithm

intervals

Results

33.0ms	83×	body	10240	exit
10.0ms	271×	body	80	valid
2.0ms	6×	body	640	valid
2.0ms	3×	body	1280	valid
1.0ms	4×	body	320	valid
0.0ms	3×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	5
1	19	5
2	19	5

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: 0.3b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(- (log (+ 1.0 (exp x))) (* x y))
0.3b	(log (+ 1.0 (exp x)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

4×	`log-div`
3×	`flip3-+` `flip-+`
2×	`associate--l-`
1×	`+-commutative` `sub-neg` `flip3--` `flip--`

Counts

3 → 11

Calls

3 calls:

2.0ms	(+ 1.0 (exp x))
3.0ms	(- (log (+ 1.0 (exp x))) (* x y))
2.0ms	(log (+ 1.0 (exp x)))

series124.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(+ 1.0 (exp x))
56.0ms	(- (log (+ 1.0 (exp x))) (* x y))
60.0ms	(log (+ 1.0 (exp x)))

simplify128.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 3 (31.0ms)

Iter	Nodes	Cost
0	147	139
1	400	139
2	1172	136
3	4044	135
4	5001	135

prune44.0ms

Filtered

20 candidates to 13 candidates (65.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	18	2	20
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	3	21

Merged error: 0.2b

Counts

21 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1/2 (pow x 2))
0.0b	(+ (* 1/2 (pow x 2)) (+ x 2.0))
0.0b	(- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))
8.5b	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

4×	`log-div`
3×	`flip3-+` `flip-+`
2×	`+-commutative` `associate--l-` `associate-+r+` `associate-r`
1×	`sub-neg` `flip3--` `*-commutative` `flip--` `unpow2` `sqr-pow`

Counts

4 → 16

Calls

4 calls:

3.0ms	(* 1/2 (pow x 2))
5.0ms	(+ (* 1/2 (pow x 2)) (+ x 2.0))
5.0ms	(- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))
4.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

series161.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* 1/2 (pow x 2))
16.0ms	(+ (* 1/2 (pow x 2)) (+ x 2.0))
71.0ms	(- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))
50.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

simplify143.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	232	234
1	853	227
2	3824	220
3	5001	220

prune79.0ms

Filtered

28 candidates to 21 candidates (75.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	25	3	28
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	27	4	31

Merged error: 0.2b

Counts

31 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- (* x (+ 0.5 (* x 0.25))) (- (* 1/2 (/ (pow x 2) (pow 2.0 2))) (log 2.0))) (* x y))
0.0b	(- (* 1/2 (/ (pow x 2) (pow 2.0 2))) (log 2.0))
0.0b	(* x (+ 0.5 (* x 0.25)))
7.0b	(- (* x (+ 0.5 (* x 0.25))) (- (* 1/2 (/ (pow x 2) (pow 2.0 2))) (log 2.0)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

15×	`associate--l+`
6×	`+-commutative` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
5×	`flip3--` `flip--`
4×	`frac-sub` `associate--r+`
3×	`associate--l-` `flip3-+` `flip-+`
2×	`associate--r-`
1×	`*-commutative`

Counts

4 → 40

Calls

4 calls:

14.0ms	(- (- (* x (+ 0.5 (* x 0.25))) (- (* 1/2 (/ (pow x 2) (pow 2.0 2))) (log 2.0))) (* x y))
7.0ms	(- (* 1/2 (/ (pow x 2) (pow 2.0 2))) (log 2.0))
4.0ms	(* x (+ 0.5 (* x 0.25)))
12.0ms	(- (* x (+ 0.5 (* x 0.25))) (- (* 1/2 (/ (pow x 2) (pow 2.0 2))) (log 2.0)))

series452.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(- (- (* x (+ 0.5 (* x 0.25))) (- (* 1/2 (/ (pow x 2) (pow 2.0 2))) (log 2.0))) (* x y))
266.0ms	(- (* 1/2 (/ (pow x 2) (pow 2.0 2))) (log 2.0))
65.0ms	(* x (+ 0.5 (* x 0.25)))
55.0ms	(- (* x (+ 0.5 (* x 0.25))) (- (* 1/2 (/ (pow x 2) (pow 2.0 2))) (log 2.0)))

simplify48.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	362	652
1	1544	641
2	5001	641

prune153.0ms

Filtered

52 candidates to 36 candidates (69.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	52	4	56

Merged error: 0.2b

Counts

56 → 4

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(- (log (+ (pow (* 1/2 (pow x 2)) 3) (pow (+ x 2.0) 3))) (+ (log (+ (* (* 1/2 (pow x 2)) (* 1/2 (pow x 2))) (- (* (+ x 2.0) (+ x 2.0)) (* (* 1/2 (pow x 2)) (+ x 2.0))))) (* x y)))
8.8b	(+ (pow (* 1/2 (pow x 2)) 3) (pow (+ x 2.0) 3))
11.4b	(log (+ (* (* 1/2 (pow x 2)) (* 1/2 (pow x 2))) (- (* (+ x 2.0) (+ x 2.0)) (* (* 1/2 (pow x 2)) (+ x 2.0)))))
13.1b	(log (+ (pow (* 1/2 (pow x 2)) 3) (pow (+ x 2.0) 3)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

8×	`log-div`
5×	`flip3-+` `flip-+`
3×	`sum-cubes`
2×	`+-commutative` `associate--l-` `associate-+l-` `log-prod` `associate--r+` `associate--r-`
1×	`sub-neg` `flip3--` `associate--l+` `flip--`

Counts

4 → 20

Calls

4 calls:

24.0ms	(- (log (+ (pow (* 1/2 (pow x 2)) 3) (pow (+ x 2.0) 3))) (+ (log (+ (* (* 1/2 (pow x 2)) (* 1/2 (pow x 2))) (- (* (+ x 2.0) (+ x 2.0)) (* (* 1/2 (pow x 2)) (+ x 2.0))))) (* x y)))
7.0ms	(+ (pow (* 1/2 (pow x 2)) 3) (pow (+ x 2.0) 3))
19.0ms	(log (+ (* (* 1/2 (pow x 2)) (* 1/2 (pow x 2))) (- (* (+ x 2.0) (+ x 2.0)) (* (* 1/2 (pow x 2)) (+ x 2.0)))))
6.0ms	(log (+ (pow (* 1/2 (pow x 2)) 3) (pow (+ x 2.0) 3)))

series381.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(- (log (+ (pow (* 1/2 (pow x 2)) 3) (pow (+ x 2.0) 3))) (+ (log (+ (* (* 1/2 (pow x 2)) (* 1/2 (pow x 2))) (- (* (+ x 2.0) (+ x 2.0)) (* (* 1/2 (pow x 2)) (+ x 2.0))))) (* x y)))
53.0ms	(+ (pow (* 1/2 (pow x 2)) 3) (pow (+ x 2.0) 3))
54.0ms	(log (+ (* (* 1/2 (pow x 2)) (* 1/2 (pow x 2))) (- (* (+ x 2.0) (+ x 2.0)) (* (* 1/2 (pow x 2)) (+ x 2.0)))))
117.0ms	(log (+ (pow (* 1/2 (pow x 2)) 3) (pow (+ x 2.0) 3)))

simplify55.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	424	725
1	1532	715
2	5001	711

prune147.0ms

Filtered

32 candidates to 30 candidates (93.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	30	2	32
Fresh	1	0	1
Picked	1	0	1
Done	1	1	2
Total	33	3	36

Merged error: 0.2b

Counts

36 → 3

regimes73.0ms

Accuracy

0% (0.2b remaining)

Error of 0.5b against oracle of 0.3b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.0s	2506×	body	10240	exit
322.0ms	8428×	body	80	valid
67.0ms	251×	body	640	valid
59.0ms	116×	body	1280	valid
31.0ms	179×	body	320	valid
10.0ms	105×	body	160	valid