Details

sample289.0ms

Algorithm

intervals

Results

16.0ms	456×	body	80	valid
10.0ms	456×	pre	80	true

simplify78.0ms

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

prune3.0ms

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

rewrite60.0ms

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:

24.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
8.0ms	(* m (- 1.0 m))
14.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
9.0ms	(/ (* m (- 1.0 m)) v)

series163.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
53.0ms	(* m (- 1.0 m))
38.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
49.0ms	(/ (* m (- 1.0 m)) v)

simplify61.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (51.0ms)

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

prune182.0ms

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: 0b

Counts

110 → 6

localize14.0ms

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

rewrite43.0ms

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

series163.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(+ (* (- (/ (* m (- 1.0 m)) v) 1.0) 1.0) (* (- (/ (* m (- 1.0 m)) v) 1.0) (- m)))
39.0ms	(/ (* m (- 1.0 m)) v)
43.0ms	(/ (* m (- 1.0 m)) v)
38.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- m))

simplify69.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	506	961
1	2456	840
2	5003	827

prune188.0ms

Filtered

106 candidates to 77 candidates (72.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	106	6	112

Merged error: 0b

Counts

112 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

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:

9.0ms	(- (* (* m (- 1.0 m)) (/ 1 v)) 1.0)
6.0ms	(* m (- 1.0 m))
15.0ms	(* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) (- 1.0 m))
10.0ms	(* (* m (- 1.0 m)) (/ 1 v))

series152.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(- (* (* m (- 1.0 m)) (/ 1 v)) 1.0)
49.0ms	(* m (- 1.0 m))
37.0ms	(* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) (- 1.0 m))
43.0ms	(* (* m (- 1.0 m)) (/ 1 v))

simplify77.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (66.0ms)

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

prune177.0ms

Filtered

124 candidates to 77 candidates (62.1%)

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: 0b

Counts

130 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt m) (cbrt m))
0.7b	(cbrt m)
0.7b	(cbrt m)
0.7b	(cbrt m)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (cbrt m) (cbrt m))
1.0ms	(cbrt m)
1.0ms	(cbrt m)
1.0ms	(cbrt m)

series746.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(* (cbrt m) (cbrt m))
180.0ms	(cbrt m)
178.0ms	(cbrt m)
180.0ms	(cbrt m)

simplify90.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune183.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	85	6	91

Merged error: 0b

Counts

91 → 6

regimes47.0ms

Accuracy

0% (0.0b 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

sample927.0ms

Algorithm

intervals

Results

437.0ms	13569×	body	80	valid
256.0ms	13569×	pre	80	true