Details

sample320.0ms

Algorithm

intervals

Results

13.0ms	421×	body	80	valid
9.0ms	421×	pre	80	true

simplify122.0ms

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

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: 0.2b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite63.0ms

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:

6.0ms	(* m (- 1.0 m))
8.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
7.0ms	(/ (* m (- 1.0 m)) v)
38.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series156.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* m (- 1.0 m))
23.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
43.0ms	(/ (* m (- 1.0 m)) v)
45.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify49.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (42.0ms)

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

prune165.0ms

Filtered

97 candidates to 63 candidates (64.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	90	7	97
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	90	8	98

Merged error: 0.0b

Counts

98 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

128×	`add-sqr-sqrt`
108×	`times-frac`
96×	`*-un-lft-identity`
70×	`add-cube-cbrt`
60×	`sqrt-prod`
37×	`associate-r`
25×	`associate-l`
22×	`add-exp-log` `add-cbrt-cube`
13×	`distribute-lft-out--` `difference-of-squares`
12×	`associate-/r*`
10×	`unswap-sqr`
8×	`pow1` `associate-/l*`
6×	`cbrt-undiv` `div-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`div-inv` `add-log-exp`
3×	`associate-*l/`
2×	`flip3--` `frac-2neg` `pow-prod-down` `clear-num` `*-commutative` `flip--` `associate-/l/`
1×	`frac-times` `div-sub` `associate-*r/`

Counts

4 → 200

Calls

4 calls:

14.0ms	(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) m)
7.0ms	(/ (- 1.0 m) (sqrt v))
4.0ms	(/ m (sqrt v))
24.0ms	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

series229.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) m)
48.0ms	(/ (- 1.0 m) (sqrt v))
60.0ms	(/ m (sqrt v))
64.0ms	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

simplify90.0ms

Algorithm

egg-herbie

Counts

212 → 212

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	757	1686
1	3574	1572
2	5001	1508

prune358.0ms

Filtered

212 candidates to 136 candidates (64.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	211	1	212
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	212	8	220

Merged error: 0.0b

Counts

220 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* m (- 1.0 m)) v) 1.0)
0.1b	(/ (* m (- 1.0 m)) v)
0.3b	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
0.4b	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

8.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
7.0ms	(/ (* m (- 1.0 m)) v)
14.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
15.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

series264.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
36.0ms	(/ (* m (- 1.0 m)) v)
121.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
85.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

simplify58.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	485	760
1	2166	669
2	5002	653

prune175.0ms

Filtered

98 candidates to 62 candidates (63.3%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	93	5	98
Fresh	1	4	5
Picked	1	0	1
Done	0	2	2
Total	95	11	106

Merged error: 0.0b

Counts

106 → 11

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 173

Calls

4 calls:

30.0ms	(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) (sqrt m))
8.0ms	(/ (* m (- 1.0 m)) (sqrt v))
11.0ms	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))
35.0ms	(* (* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) (sqrt m)) (sqrt m))

series333.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) (sqrt m))
64.0ms	(/ (* m (- 1.0 m)) (sqrt v))
58.0ms	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))
81.0ms	(* (* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) (sqrt m)) (sqrt m))

simplify92.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	789	1905
1	3670	1611
2	5002	1599

prune304.0ms

Filtered

185 candidates to 112 candidates (60.5%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	184	1	185
Fresh	2	6	8
Picked	0	1	1
Done	0	2	2
Total	186	10	196

Merged error: 0.0b

Counts

196 → 10

regimes104.0ms

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	10	5
1	10	5

end0.0ms

sample866.0ms

Algorithm

intervals

Results

388.0ms	13786×	body	80	valid
248.0ms	13786×	pre	80	true

Details

sample320.0ms

simplify122.0ms

prune4.0ms

localize11.0ms

rewrite63.0ms

series156.0ms

simplify49.0ms

prune165.0ms

localize12.0ms

rewrite57.0ms

series229.0ms

simplify90.0ms

prune358.0ms

localize9.0ms

rewrite46.0ms

series264.0ms

simplify58.0ms

prune175.0ms

localize11.0ms

rewrite91.0ms

series333.0ms

simplify92.0ms

prune304.0ms

regimes104.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample866.0ms

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