Details

sample245.0ms

Algorithm

intervals

Results

15.0ms	414×	body	80	valid
9.0ms	414×	pre	80	true

simplify81.0ms

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

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: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite33.0ms

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))
14.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
9.0ms	(/ (* m (- 1.0 m)) v)

series26.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(* m (- 1.0 m))
7.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
14.0ms	(/ (* m (- 1.0 m)) v)

simplify58.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (49.0ms)

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

prune136.0ms

Filtered

61 candidates to 92 candidates (-50.8%)

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

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite55.0ms

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))
8.0ms	(/ m (/ v (- 1.0 m)))
33.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

series18.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify90.0ms

Algorithm

egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	684	1470
1	3431	1414
2	5001	1413

prune236.0ms

Filtered

138 candidates to 184 candidates (-33.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	183	1	184
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	185	5	190

Merged error: 0b

Counts

190 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 74

Calls

2 calls:

13.0ms	(* (- (* (/ m v) (- 1.0 m)) 1.0) (- 1.0 m))
9.0ms	(* (/ m v) (- 1.0 m))

series13.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify51.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	405	588
1	1872	542
2	5002	542

prune91.0ms

Filtered

56 candidates to 80 candidates (-42.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	79	1	80
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	80	5	85

Merged error: 0b

Counts

85 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
34×	`frac-times`
29×	`*-un-lft-identity`
24×	`flip3--` `flip--`
19×	`associate-r`
17×	`associate-l` `associate-*l/`
16×	`add-exp-log` `add-cbrt-cube`
15×	`add-cube-cbrt`
14×	`sqrt-prod`
13×	`pow1`
12×	`flip3-+` `associate-*r/` `flip-+`
10×	`times-frac`
9×	`difference-of-squares`
6×	`prod-exp` `cbrt-unprod` `add-log-exp`
5×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `pow-prod-down` `distribute-lft-out--`
3×	`*-commutative` `unswap-sqr`
2×	`distribute-lft-out`
1×	`cbrt-undiv` `diff-log` `div-exp` `div-inv`

Counts

4 → 144

Calls

4 calls:

5.0ms	(- (sqrt 1.0) (sqrt m))
24.0ms	(* (* (- (* (/ m v) (- 1.0 m)) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
9.0ms	(* (/ m v) (- 1.0 m))
15.0ms	(* (- (* (/ m v) (- 1.0 m)) 1.0) (+ (sqrt 1.0) (sqrt m)))

series40.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(- (sqrt 1.0) (sqrt m))
14.0ms	(* (* (- (* (/ m v) (- 1.0 m)) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
5.0ms	(* (/ m v) (- 1.0 m))
17.0ms	(* (- (* (/ m v) (- 1.0 m)) 1.0) (+ (sqrt 1.0) (sqrt m)))

simplify45.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 1 (23.0ms)

Iter	Nodes	Cost
0	943	1876
1	5001	1676

prune278.0ms

Filtered

117 candidates to 156 candidates (-33.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	156	5	161

Merged error: 0b

Counts

161 → 5

regimes129.0ms

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	10	6
1	10	6

end0.0ms

sample1.1s

Algorithm

intervals

Results

455.0ms	13828×	body	80	valid
247.0ms	13828×	pre	80	true

Details

sample245.0ms

simplify81.0ms

prune4.0ms

localize9.0ms

rewrite33.0ms

series26.0ms

simplify58.0ms

prune136.0ms

localize7.0ms

rewrite55.0ms

series18.0ms

simplify90.0ms

prune236.0ms

localize6.0ms

rewrite24.0ms

series13.0ms

simplify51.0ms

prune91.0ms

localize13.0ms

rewrite59.0ms

series40.0ms

simplify45.0ms

prune278.0ms

regimes129.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.1s

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