Details

sample228.0ms

Algorithm

intervals

Results

14.0ms	411×	body	80	valid
9.0ms	411×	pre	80	true

simplify530.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	5045	13

prune11.0ms

Filtered

1 candidates to 1 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: 0.0b

Counts

2 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite52.0ms

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:

7.0ms	(* m (- 1.0 m))
7.0ms	(/ (* m (- 1.0 m)) v)
17.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series26.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(* m (- 1.0 m))
6.0ms	(/ (* m (- 1.0 m)) v)
16.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify27.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5065	1119

prune118.0ms

Filtered

64 candidates to 92 candidates (-43.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	88	4	92
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	89	5	94

Merged error: 0b

Counts

94 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

141×	`times-frac`
118×	`add-sqr-sqrt`
109×	`*-un-lft-identity`
73×	`add-cube-cbrt`
26×	`associate-/r*`
20×	`difference-of-squares`
18×	`distribute-lft-out--`
12×	`add-exp-log` `add-cbrt-cube`
11×	`flip3--` `associate-/r/` `flip--`
7×	`associate-l`
6×	`div-inv` `associate-/l*`
5×	`pow1` `associate-r`
4×	`cbrt-undiv` `frac-times` `div-exp`
3×	`add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `associate-r/` `associate-l/` `clear-num`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 175

Calls

3 calls:

5.0ms	(/ v (- 1.0 m))
30.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))
12.0ms	(/ m (/ v (- 1.0 m)))

series18.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify59.0ms

Algorithm

egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5023	2626

prune229.0ms

Filtered

141 candidates to 184 candidates (-30.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	183	1	184
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	184	5	189

Merged error: 0b

Counts

189 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- 1.0 m))
0.1b	(* (* (- (* (/ (- 1.0 m) v) m) 1.0) (* (cbrt (- 1.0 m)) (cbrt (- 1.0 m)))) (cbrt (- 1.0 m)))
0.1b	(* (cbrt (- 1.0 m)) (cbrt (- 1.0 m)))
0.3b	(* (/ (- 1.0 m) v) m)

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

176×	`cbrt-div`
140×	`frac-times`
115×	`flip3--` `flip--`
56×	`add-sqr-sqrt`
53×	`associate-*l/`
49×	`*-un-lft-identity`
46×	`associate-*r/`
38×	`cbrt-prod`
28×	`associate-l`
25×	`add-cube-cbrt`
22×	`pow1`
20×	`add-exp-log`
19×	`associate-r`
16×	`times-frac`
13×	`add-cbrt-cube`
11×	`distribute-lft-out--`
10×	`swap-sqr`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod` `difference-of-squares`
7×	`pow1/3`
6×	`unswap-sqr`
4×	`add-log-exp`
3×	`*-commutative`
2×	`pow-sqr` `pow-prod-up`
1×	`cbrt-undiv` `pow2` `pow-plus` `div-exp` `div-inv`

Counts

4 → 215

Calls

4 calls:

3.0ms	(cbrt (- 1.0 m))
28.0ms	(* (* (- (* (/ (- 1.0 m) v) m) 1.0) (* (cbrt (- 1.0 m)) (cbrt (- 1.0 m)))) (cbrt (- 1.0 m)))
10.0ms	(* (cbrt (- 1.0 m)) (cbrt (- 1.0 m)))
9.0ms	(* (/ (- 1.0 m) v) m)

series28.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify68.0ms

Algorithm

egg-herbie

Counts

227 → 227

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5721	5960

prune510.0ms

Filtered

147 candidates to 227 candidates (-54.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	227	0	227
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	227	5	232

Merged error: 0b

Counts

232 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

74×	`times-frac`
71×	`add-sqr-sqrt`
63×	`*-un-lft-identity`
61×	`add-cube-cbrt`
54×	`add-exp-log`
43×	`sqrt-prod`
34×	`add-cbrt-cube`
27×	`associate-l`
23×	`associate-r`
22×	`prod-exp`
14×	`div-exp`
13×	`pow1`
12×	`associate-/r*` `cbrt-unprod`
11×	`frac-times`
8×	`cbrt-undiv` `associate-*r/`
7×	`associate-*l/`
6×	`flip3--` `flip--` `associate-/l*`
4×	`rec-exp` `1-exp` `pow-prod-down` `div-inv` `add-log-exp`
3×	`pow-flip` `unswap-sqr`
2×	`frac-2neg` `clear-num` `*-commutative`
1×	`sqrt-pow1` `pow1/2` `distribute-lft-out--` `inv-pow` `difference-of-squares`

Counts

4 → 194

Calls

4 calls:

11.0ms	(* (- 1.0 m) (/ m (sqrt v)))
4.0ms	(/ 1 (sqrt v))
4.0ms	(/ m (sqrt v))
15.0ms	(* (/ 1 (sqrt v)) (* (- 1.0 m) (/ m (sqrt v))))

series35.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(* (- 1.0 m) (/ m (sqrt v)))
6.0ms	(/ 1 (sqrt v))
7.0ms	(/ m (sqrt v))
10.0ms	(* (/ 1 (sqrt v)) (* (- 1.0 m) (/ m (sqrt v))))

simplify62.0ms

Algorithm

egg-herbie

Counts

206 → 206

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4987	1940
1	4987	1940

prune182.0ms

Filtered

130 candidates to 206 candidates (-58.5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	206	0	206
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	206	5	211

Merged error: 0b

Counts

211 → 5

regimes125.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	10	13

end0.0ms

sample1.1s

Algorithm

intervals

Results

450.0ms	13740×	body	80	valid
244.0ms	13740×	pre	80	true

Details

sample228.0ms

simplify530.0ms

prune11.0ms

localize10.0ms

rewrite52.0ms

series26.0ms

simplify27.0ms

prune118.0ms

localize7.0ms

rewrite56.0ms

series18.0ms

simplify59.0ms

prune229.0ms

localize10.0ms

rewrite65.0ms

series28.0ms

simplify68.0ms

prune510.0ms

localize12.0ms

rewrite43.0ms

series35.0ms

simplify62.0ms

prune182.0ms

regimes125.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.1s

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