Details

sample290.0ms

Algorithm

intervals

Results

13.0ms	450×	body	80	valid
8.0ms	450×	pre	80	true

simplify76.0ms

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

prune5.0ms

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 4 expressions with local error:

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

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
18×	`*-un-lft-identity`
13×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `associate-r`
9×	`flip3--` `flip--`
8×	`pow1` `associate-l`
6×	`associate-*r/` `add-log-exp`
5×	`sub-neg`
4×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `distribute-lft-out--` `difference-of-squares`
3×	`times-frac` `prod-exp` `associate-/r*` `cbrt-unprod`
2×	`cbrt-undiv` `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 → 97

Calls

4 calls:

7.0ms	(* m (- 1.0 m))
22.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
6.0ms	(/ (* m (- 1.0 m)) v)
17.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series152.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* m (- 1.0 m))
23.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
41.0ms	(/ (* m (- 1.0 m)) v)
44.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify59.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	400	725
1	1959	665
2	5002	653

prune289.0ms

Filtered

109 candidates to 72 candidates (66.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	103	6	109
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	104	6	110

Merged error: 0.0b

Counts

110 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

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:

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

series146.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ (* (- (/ (* m (- 1.0 m)) v) 1.0) 1.0) (* (- (/ (* m (- 1.0 m)) v) 1.0) (neg m)))
37.0ms	(/ (* m (- 1.0 m)) v)
35.0ms	(/ (* m (- 1.0 m)) v)
37.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (neg m))

simplify67.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (57.0ms)

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

prune297.0ms

Filtered

106 candidates to 76 candidates (71.7%)

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: 0.0b

Counts

112 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 112

Calls

4 calls:

11.0ms	(- (* (* m (- 1.0 m)) (/ 1 v)) 1.0)
6.0ms	(* m (- 1.0 m))
14.0ms	(* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) (- 1.0 m))
10.0ms	(* (* m (- 1.0 m)) (/ 1 v))

series136.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(- (* (* m (- 1.0 m)) (/ 1 v)) 1.0)
45.0ms	(* m (- 1.0 m))
34.0ms	(* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) (- 1.0 m))
35.0ms	(* (* m (- 1.0 m)) (/ 1 v))

simplify74.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	523	898
1	2800	802
2	5001	781

prune276.0ms

Filtered

124 candidates to 76 candidates (61.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	124	6	130

Merged error: 0.0b

Counts

130 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 184

Calls

4 calls:

6.0ms	(* m (- 1.0 m))
32.0ms	(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) (- 1.0 m))
7.0ms	(/ (* m (- 1.0 m)) (sqrt v))
11.0ms	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

series228.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* m (- 1.0 m))
60.0ms	(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) (- 1.0 m))
60.0ms	(/ (* m (- 1.0 m)) (sqrt v))
61.0ms	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

simplify97.0ms

Algorithm

egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	769	1865
1	3749	1624
2	5001	1618

prune443.0ms

Filtered

196 candidates to 117 candidates (59.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	196	0	196
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	196	6	202

Merged error: 0.0b

Counts

202 → 6

regimes152.0ms

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	17	12
1	21	12
2	22	12
3	22	12

end0.0ms

sample935.0ms

Algorithm

intervals

Results

367.0ms	13629×	body	80	valid
222.0ms	13629×	pre	80	true

Details

sample290.0ms

simplify76.0ms

prune5.0ms

localize9.0ms

rewrite56.0ms

series152.0ms

simplify59.0ms

prune289.0ms

localize10.0ms

rewrite41.0ms

series146.0ms

simplify67.0ms

prune297.0ms

localize8.0ms

rewrite44.0ms

series136.0ms

simplify74.0ms

prune276.0ms

localize9.0ms

rewrite64.0ms

series228.0ms

simplify97.0ms

prune443.0ms

regimes152.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample935.0ms

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