Details

sample31.0ms

Algorithm

intervals

Results

10.0ms	264×	body	80	valid
9.0ms	251×	body	80	nan

simplify106.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	7
1	65	7
2	190	7
3	412	7
4	644	7
5	1083	7
6	1628	7
7	2273	7
8	3723	7
9	5001	7

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: 0.4b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ 1.0 (* x 9.0)))
0.2b	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.3b	(/ 1.0 (* x 9.0))
0.3b	(* 3.0 (sqrt x))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

4×	`distribute-rgt-in` `distribute-lft-in` `associate--l+` `*-commutative`
3×	`+-commutative`
2×	`sub-neg` `associate-r/` `associate-l` `associate-/r`
1×	`flip3--` `frac-2neg` `flip3-+` `clear-num` `flip--` `flip-+` `div-inv`

Counts

4 → 22

Calls

4 calls:

3.0ms	(+ y (/ 1.0 (* x 9.0)))
6.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
3.0ms	(/ 1.0 (* x 9.0))
2.0ms	(* 3.0 (sqrt x))

series139.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ y (/ 1.0 (* x 9.0)))
62.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
15.0ms	(/ 1.0 (* x 9.0))
36.0ms	(* 3.0 (sqrt x))

simplify85.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	262	206
1	785	187
2	3401	179
3	5001	179

prune73.0ms

Filtered

34 candidates to 23 candidates (67.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	28	6	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	7	35

Merged error: 0.1b

Counts

35 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ 1.0 (* x 9.0)))
0.3b	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.3b	(/ 1.0 (* x 9.0))
0.3b	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

20×	`distribute-rgt-in` `distribute-lft-in`
12×	`associate--l+`
7×	`+-commutative`
6×	`sub-neg` `associate-*r/`
4×	`*-commutative`
2×	`flip3--` `associate-r` `associate-/r*` `flip--`
1×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv`

Counts

4 → 40

Calls

4 calls:

3.0ms	(+ y (/ 1.0 (* x 9.0)))
5.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
3.0ms	(/ 1.0 (* x 9.0))
7.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

series161.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ y (/ 1.0 (* x 9.0)))
57.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
15.0ms	(/ 1.0 (* x 9.0))
64.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

simplify60.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	252	351
1	665	335
2	2538	329
3	5001	329

prune103.0ms

Filtered

52 candidates to 27 candidates (51.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	48	4	52
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	51	8	59

Merged error: 0.1b

Counts

59 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ (/ 1.0 9.0) x))
0.3b	(* (sqrt x) (- (+ y (/ (/ 1.0 9.0) x)) 1.0))
0.3b	(* 3.0 (* (sqrt x) (- (+ y (/ (/ 1.0 9.0) x)) 1.0)))
0.4b	(/ (/ 1.0 9.0) x)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

20×	`distribute-rgt-in` `distribute-lft-in`
12×	`associate--l+`
7×	`+-commutative`
6×	`sub-neg` `associate-*r/`
3×	`*-commutative` `associate-/l/`
2×	`flip3--` `frac-2neg` `associate-r` `clear-num` `flip--` `div-inv`
1×	`flip3-+` `flip-+` `associate-/l*`

Counts

4 → 42

Calls

4 calls:

3.0ms	(+ y (/ (/ 1.0 9.0) x))
6.0ms	(* (sqrt x) (- (+ y (/ (/ 1.0 9.0) x)) 1.0))
7.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ (/ 1.0 9.0) x)) 1.0)))
3.0ms	(/ (/ 1.0 9.0) x)

series162.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ y (/ (/ 1.0 9.0) x))
58.0ms	(* (sqrt x) (- (+ y (/ (/ 1.0 9.0) x)) 1.0))
62.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ (/ 1.0 9.0) x)) 1.0)))
16.0ms	(/ (/ 1.0 9.0) x)

simplify66.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	262	355
1	649	338
2	2651	332
3	5002	332

prune88.0ms

Filtered

54 candidates to 27 candidates (50.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	53	1	54
Fresh	0	5	5
Picked	1	0	1
Done	0	2	2
Total	54	8	62

Merged error: 0.1b

Counts

62 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 3.0 (* (/ (/ 1.0 9.0) x) (sqrt x)))
0.3b	(* 3.0 (* (- y 1.0) (sqrt x)))
0.4b	(/ (/ 1.0 9.0) x)
0.4b	(* (/ (/ 1.0 9.0) x) (sqrt x))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

16×	`associate-*l/`
9×	`associate-*r/` `associate-/l/`
6×	`frac-2neg` `clear-num` `div-inv`
5×	`associate-r` `*-commutative`
3×	`associate-/l*`
2×	`associate-l`
1×	`flip3--` `flip--`

Counts

4 → 32

Calls

4 calls:

5.0ms	(* 3.0 (* (/ (/ 1.0 9.0) x) (sqrt x)))
4.0ms	(* 3.0 (* (- y 1.0) (sqrt x)))
3.0ms	(/ (/ 1.0 9.0) x)
5.0ms	(* (/ (/ 1.0 9.0) x) (sqrt x))

series169.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* 3.0 (* (/ (/ 1.0 9.0) x) (sqrt x)))
51.0ms	(* 3.0 (* (- y 1.0) (sqrt x)))
16.0ms	(/ (/ 1.0 9.0) x)
52.0ms	(* (/ (/ 1.0 9.0) x) (sqrt x))

simplify96.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	224	174
1	692	146
2	3662	133
3	5001	133

prune117.0ms

Filtered

44 candidates to 37 candidates (84.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	41	3	44
Fresh	1	4	5
Picked	1	0	1
Done	0	2	2
Total	43	9	52

Merged error: 0.1b

Counts

52 → 9

regimes98.0ms

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	10
1	19	10

end0.0ms

sample950.0ms

Algorithm

intervals

Results

340.0ms	8553×	body	80	valid
317.0ms	8453×	body	80	nan