Details

analyze248.0ms

Algorithm: search

sample23.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
5.0ms	256×	pre	80	true

simplify490.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	5
1	34	5
2	67	5
3	169	5
4	345	5
5	466	5
6	670	5
7	1014	5
8	1528	5
9	2117	5
10	3037	5
11	5001	5

prune4.0ms

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: 0.2b

Counts

2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

8.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
6.0ms	(* m (- 1.0 m))
7.0ms	(/ (* m (- 1.0 m)) v)
13.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series42.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
15.0ms	(* m (- 1.0 m))
6.0ms	(/ (* m (- 1.0 m)) v)
15.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify49.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	334	532
1	1558	477
2	5002	465

prune144.0ms

Filtered

63 candidates to 97 candidates (-54.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	89	8	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	90	8	98

Merged error: 0.0b

Counts

98 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1.0 m))
0.1b	(/ v (* m (- 1.0 m)))
0.1b	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
0.3b	(/ 1 (/ v (* m (- 1.0 m))))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 138

Calls

4 calls:

6.0ms	(* m (- 1.0 m))
6.0ms	(/ v (* m (- 1.0 m)))
19.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
9.0ms	(/ 1 (/ v (* m (- 1.0 m))))

series31.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* m (- 1.0 m))
6.0ms	(/ v (* m (- 1.0 m)))
10.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
8.0ms	(/ 1 (/ v (* m (- 1.0 m))))

simplify66.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	522	954
1	2623	797
2	5001	783

prune142.0ms

Filtered

84 candidates to 150 candidates (-78.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	149	1	150
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	150	8	158

Merged error: 0.0b

Counts

158 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ v (* m (- 1.0 m)))
0.2b	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) (sqrt m))
0.3b	(/ 1 (/ v (* m (- 1.0 m))))
0.4b	(* (* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) (sqrt m)) (sqrt m))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

44×	`times-frac`
40×	`add-sqr-sqrt`
37×	`add-exp-log`
33×	`*-un-lft-identity`
29×	`add-cube-cbrt`
25×	`add-cbrt-cube`
14×	`div-exp`
12×	`pow1` `associate-r`
11×	`associate-/r/`
10×	`associate-r/` `associate-/r`
9×	`associate-l`
8×	`prod-exp`
7×	`cbrt-undiv` `flip3--` `sqrt-prod` `flip--` `div-inv`
6×	`associate-l/` `cbrt-unprod` `associate-/l`
4×	`pow-prod-down` `add-log-exp`
3×	`rec-exp` `1-exp` `difference-of-squares`
2×	`frac-2neg` `clear-num` `*-commutative` `distribute-lft-out--` `unswap-sqr`
1×	`pow-flip` `inv-pow`

Counts

4 → 139

Calls

4 calls:

6.0ms	(/ v (* m (- 1.0 m)))
21.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) (sqrt m))
9.0ms	(/ 1 (/ v (* m (- 1.0 m))))
24.0ms	(* (* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) (sqrt m)) (sqrt m))

series43.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/ v (* m (- 1.0 m)))
17.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) (sqrt m))
7.0ms	(/ 1 (/ v (* m (- 1.0 m))))
12.0ms	(* (* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) (sqrt m)) (sqrt m))

simplify81.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	671	1215
1	3329	1010
2	5002	999

prune151.0ms

Filtered

85 candidates to 151 candidates (-77.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	149	2	151
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	151	8	159

Merged error: 0b

Counts

159 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ v (- 1.0 m))
0.1b	(/ m (/ v (- 1.0 m)))
0.2b	(* (- (/ m (/ v (- 1.0 m))) 1.0) (sqrt m))
0.4b	(* (* (- (/ m (/ v (- 1.0 m))) 1.0) (sqrt m)) (sqrt m))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

141×	`times-frac`
122×	`add-sqr-sqrt`
111×	`*-un-lft-identity`
77×	`add-cube-cbrt`
26×	`associate-/r*`
19×	`difference-of-squares`
18×	`add-exp-log` `add-cbrt-cube`
17×	`distribute-lft-out--`
12×	`associate-r`
11×	`pow1` `associate-/r/`
8×	`associate-l`
7×	`flip3--` `sqrt-prod` `flip--`
6×	`associate-l/` `div-inv` `associate-/l`
4×	`cbrt-undiv` `div-exp` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`frac-2neg` `clear-num` `*-commutative` `unswap-sqr`

Counts

4 → 190

Calls

4 calls:

5.0ms	(/ v (- 1.0 m))
9.0ms	(/ m (/ v (- 1.0 m)))
31.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (sqrt m))
30.0ms	(* (* (- (/ m (/ v (- 1.0 m))) 1.0) (sqrt m)) (sqrt m))

series34.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ v (- 1.0 m))
5.0ms	(/ m (/ v (- 1.0 m)))
13.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (sqrt m))
11.0ms	(* (* (- (/ m (/ v (- 1.0 m))) 1.0) (sqrt m)) (sqrt m))

simplify106.0ms

Algorithm

egg-herbie

Counts

202 → 202

Iterations

Useful iterations: 1 (20.0ms)

Iter	Nodes	Cost
0	804	1605
1	4066	1499
2	5001	1499

prune226.0ms

Filtered

148 candidates to 202 candidates (-36.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	202	0	202
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	202	8	210

Merged error: 0b

Counts

210 → 8

regimes113.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	6
1	14	6

end0.0ms

analyze50.0ms

Algorithm: search

sample536.0ms

Algorithm

intervals

Results

241.0ms	8000×	body	80	valid
162.0ms	8055×	pre	80	true
2.0ms	55×	body	80	invalid

Details

analyze248.0ms

sample23.0ms

simplify490.0ms

prune4.0ms

localize9.0ms

rewrite37.0ms

series42.0ms

simplify49.0ms

prune144.0ms

localize8.0ms

rewrite45.0ms

series31.0ms

simplify66.0ms

prune142.0ms

localize11.0ms

rewrite65.0ms

series43.0ms

simplify81.0ms

prune151.0ms

localize9.0ms

rewrite84.0ms

series34.0ms

simplify106.0ms

prune226.0ms

regimes113.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze50.0ms

sample536.0ms

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