Details

sample303.0ms

Algorithm

intervals

Results

14.0ms	435×	body	80	valid
9.0ms	435×	pre	80	true

simplify80.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	6
1	40	6
2	105	6
3	354	6
4	1102	6
5	3189	6
6	5002	6

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: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* m (- 1.0 m))
0.0b	(/ (* m (- 1.0 m)) v)
0.1b	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
12×	`add-exp-log` `add-cbrt-cube`
10×	`associate-r`
9×	`add-cube-cbrt`
8×	`flip3--` `associate-l` `flip--`
7×	`pow1`
6×	`associate-*r/`
4×	`distribute-rgt-in` `frac-times` `sub-neg` `distribute-lft-in`
3×	`times-frac` `prod-exp` `associate-/r*` `cbrt-unprod` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

3 → 83

Calls

3 calls:

6.0ms	(* m (- 1.0 m))
8.0ms	(/ (* m (- 1.0 m)) v)
18.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series134.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(* m (- 1.0 m))
39.0ms	(/ (* m (- 1.0 m)) v)
45.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify59.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	389	602
1	1946	551
2	5003	545

prune159.0ms

Filtered

92 candidates to 61 candidates (66.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	86	6	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	6	93

Merged error: 0b

Counts

93 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* m (- 1.0 m)) v)
0.0b	(/ (* m (- 1.0 m)) v)
0.0b	(+ (* (- (/ (* m (- 1.0 m)) v) 1.0) 1.0) (* (- (/ (* m (- 1.0 m)) v) 1.0) (neg m)))
0.2b	(* (- (/ (* m (- 1.0 m)) v) 1.0) (neg m))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
14×	`*-un-lft-identity`
12×	`add-cube-cbrt`
10×	`associate-r` `associate-*l/`
7×	`flip3--` `flip--`
6×	`pow1` `times-frac` `associate-/r*` `add-log-exp`
5×	`associate-l`
4×	`cbrt-undiv` `associate-*r/` `div-exp` `frac-add` `associate-/l/`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `prod-exp` `distribute-rgt-neg-out` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`
1×	`+-commutative` `neg-mul-1` `flip3-+` `unsub-neg` `pow-prod-down` `sum-log` `*-commutative` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 94

Calls

4 calls:

7.0ms	(/ (* m (- 1.0 m)) v)
7.0ms	(/ (* m (- 1.0 m)) v)
13.0ms	(+ (* (- (/ (* m (- 1.0 m)) v) 1.0) 1.0) (* (- (/ (* m (- 1.0 m)) v) 1.0) (neg m)))
14.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (neg m))

series156.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(/ (* m (- 1.0 m)) v)
40.0ms	(/ (* m (- 1.0 m)) v)
39.0ms	(+ (* (- (/ (* m (- 1.0 m)) v) 1.0) 1.0) (* (- (/ (* m (- 1.0 m)) v) 1.0) (neg m)))
40.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (neg m))

simplify71.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	506	961
1	2442	840
2	5001	827

prune185.0ms

Filtered

106 candidates to 77 candidates (72.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	106	6	112

Merged error: 0b

Counts

112 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ m (/ v (- 1.0 m)))
0.1b	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

126×	`times-frac`
99×	`add-sqr-sqrt`
90×	`*-un-lft-identity`
62×	`add-cube-cbrt`
21×	`associate-/r*`
16×	`difference-of-squares`
14×	`distribute-lft-out--`
10×	`flip3--` `flip--`
9×	`add-exp-log` `associate-/r/` `add-cbrt-cube`
7×	`associate-l`
5×	`associate-r` `div-inv`
4×	`pow1` `frac-times`
3×	`cbrt-undiv` `div-exp` `associate-/l*`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `associate-l/` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 138

Calls

2 calls:

9.0ms	(/ m (/ v (- 1.0 m)))
34.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

series76.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(/ m (/ v (- 1.0 m)))
35.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

simplify85.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	629	1255
1	3145	1210
2	5001	1208

prune249.0ms

Filtered

144 candidates to 108 candidates (75.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	143	1	144
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	144	6	150

Merged error: 0b

Counts

150 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- 1.0 m))
0.1b	(* (- (/ (/ m v) (/ 1 (- 1.0 m))) 1.0) (- 1.0 m))
0.1b	(/ (/ m v) (/ 1 (- 1.0 m)))

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

709×	`times-frac`
416×	`add-sqr-sqrt`
393×	`*-un-lft-identity`
295×	`add-cube-cbrt`
54×	`difference-of-squares`
48×	`distribute-lft-out--`
38×	`div-inv`
31×	`add-exp-log` `associate-/r/`
26×	`associate-/r*`
21×	`flip3--` `flip--`
19×	`add-cbrt-cube`
18×	`div-exp`
16×	`associate-/l*`
11×	`associate-l`
9×	`cbrt-undiv`
6×	`pow1`
5×	`associate-r`
4×	`frac-times`
3×	`rec-exp` `1-exp` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `associate-r/` `associate-l/` `clear-num`
1×	`pow-flip` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `associate-/l/` `inv-pow` `unswap-sqr`

Counts

3 → 412

Calls

3 calls:

6.0ms	(/ 1 (- 1.0 m))
91.0ms	(* (- (/ (/ m v) (/ 1 (- 1.0 m))) 1.0) (- 1.0 m))
16.0ms	(/ (/ m v) (/ 1 (- 1.0 m)))

series104.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(/ 1 (- 1.0 m))
42.0ms	(* (- (/ (/ m v) (/ 1 (- 1.0 m))) 1.0) (- 1.0 m))
38.0ms	(/ (/ m v) (/ 1 (- 1.0 m)))

simplify89.0ms

Algorithm

egg-herbie

Counts

421 → 421

Iterations

Useful iterations: 1 (38.0ms)

Iter	Nodes	Cost
0	1856	4672
1	5001	4290

prune604.0ms

Filtered

421 candidates to 238 candidates (56.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	421	0	421
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	421	6	427

Merged error: 0b

Counts

427 → 6

regimes45.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	7
1	13	7

end0.0ms

sample890.0ms

Algorithm

intervals

Results

394.0ms	13628×	body	80	valid
257.0ms	13628×	pre	80	true

Details

sample303.0ms

simplify80.0ms

prune3.0ms

localize9.0ms

rewrite51.0ms

series134.0ms

simplify59.0ms

prune159.0ms

localize11.0ms

rewrite44.0ms

series156.0ms

simplify71.0ms

prune185.0ms

localize7.0ms

rewrite51.0ms

series76.0ms

simplify85.0ms

prune249.0ms

localize8.0ms

rewrite147.0ms

series104.0ms

simplify89.0ms

prune604.0ms

regimes45.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample890.0ms

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