Details

sample290.0ms

Algorithm

intervals

Results

14.0ms	453×	body	80	valid
9.0ms	453×	pre	80	true

simplify93.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	6
1	40	6
2	112	6
3	393	6
4	1344	6
5	4072	6
6	5001	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))
0.1b	(/ (* m (- 1.0 m)) v)
0.1b	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

61×	`add-sqr-sqrt`
57×	`*-un-lft-identity` `prod-diff`
49×	`add-cube-cbrt`
22×	`distribute-rgt-in` `distribute-lft-in`
15×	`times-frac`
13×	`add-exp-log` `add-cbrt-cube`
10×	`associate-r`
9×	`flip3--` `flip--`
8×	`pow1` `associate-l`
7×	`fma-neg`
6×	`associate-*r/` `add-log-exp`
5×	`sub-neg` `div-inv`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`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` `associate-/l*`

Counts

4 → 169

Calls

4 calls:

10.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
22.0ms	(* m (- 1.0 m))
8.0ms	(/ (* m (- 1.0 m)) v)
18.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series159.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
45.0ms	(* m (- 1.0 m))
44.0ms	(/ (* m (- 1.0 m)) v)
47.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify98.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	583	1692
1	2840	1209
2	5002	1196

prune231.0ms

Filtered

181 candidates to 93 candidates (51.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	175	6	181
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	176	6	182

Merged error: 0b

Counts

182 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

89×	`add-sqr-sqrt`
81×	`*-un-lft-identity`
75×	`add-cube-cbrt`
66×	`prod-diff`
62×	`times-frac`
17×	`distribute-rgt-out`
16×	`fma-neg`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
7×	`flip3--` `flip--`
6×	`pow1` `distribute-lft-neg-out` `associate-l`
5×	`associate-r` `div-inv` `difference-of-squares`
4×	`expm1-log1p-u` `frac-times` `div-sub` `log1p-expm1-u` `associate-/l*`
3×	`sub-neg` `unsub-neg` `associate-/r*` `distribute-lft-out--`
2×	`associate--l-` `flip3-+` `associate-r/` `associate-l/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `fma-def` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 192

Calls

4 calls:

12.0ms	(- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0)
4.0ms	(+ (* 1.0 m) (* (- m) m))
6.0ms	(/ (+ (* 1.0 m) (* (- m) m)) v)
17.0ms	(* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) (- 1.0 m))

series164.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0)
58.0ms	(+ (* 1.0 m) (* (- m) m))
46.0ms	(/ (+ (* 1.0 m) (* (- m) m)) v)
36.0ms	(* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) (- 1.0 m))

simplify115.0ms

Algorithm

egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 2 (90.0ms)

Iter	Nodes	Cost
0	659	2618
1	2998	1982
2	5002	1915

prune275.0ms

Filtered

204 candidates to 118 candidates (57.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	204	0	204
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	204	6	210

Merged error: 0b

Counts

210 → 6

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

576×	`times-frac`
476×	`add-sqr-sqrt`
460×	`*-un-lft-identity`
350×	`add-cube-cbrt`
222×	`prod-diff`
68×	`fma-neg`
59×	`difference-of-squares`
55×	`distribute-lft-out--`
39×	`associate-/r/`
26×	`associate-/r*`
24×	`flip3--` `flip--`
22×	`div-inv`
13×	`add-exp-log` `add-cbrt-cube`
11×	`distribute-rgt-in` `distribute-lft-in`
7×	`associate-l`
6×	`pow1` `associate-/l*` `add-log-exp`
5×	`associate-r`
4×	`cbrt-undiv` `expm1-log1p-u` `frac-times` `div-exp` `log1p-expm1-u`
3×	`sub-neg`
2×	`frac-2neg` `associate-r/` `associate-l/` `clear-num`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 489

Calls

4 calls:

5.0ms	(/ v (- 1.0 m))
33.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
9.0ms	(/ m (/ v (- 1.0 m)))
35.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

series137.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(/ v (- 1.0 m))
24.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
43.0ms	(/ m (/ v (- 1.0 m)))
36.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

simplify90.0ms

Algorithm

egg-herbie

Counts

501 → 501

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1224	6304
1	5001	4818

prune643.0ms

Filtered

501 candidates to 266 candidates (53.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	501	0	501
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	501	6	507

Merged error: 0b

Counts

507 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- 1.0 m))
0.1b	(cbrt (- 1.0 m))
0.1b	(cbrt (- 1.0 m))
0.1b	(* (cbrt (- 1.0 m)) (cbrt (- 1.0 m)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

6.0ms	(cbrt (- 1.0 m))
3.0ms	(cbrt (- 1.0 m))
3.0ms	(cbrt (- 1.0 m))
10.0ms	(* (cbrt (- 1.0 m)) (cbrt (- 1.0 m)))

series382.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(cbrt (- 1.0 m))
91.0ms	(cbrt (- 1.0 m))
90.0ms	(cbrt (- 1.0 m))
111.0ms	(* (cbrt (- 1.0 m)) (cbrt (- 1.0 m)))

simplify146.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 3 (136.0ms)

Iter	Nodes	Cost
0	328	874
1	1077	836
2	4703	779
3	5001	778

prune258.0ms

Filtered

121 candidates to 89 candidates (73.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	121	6	127

Merged error: 0b

Counts

127 → 6

regimes47.0ms

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	17	8
1	17	8

end0.0ms

sample880.0ms

Algorithm

intervals

Results

396.0ms	13681×	body	80	valid
249.0ms	13681×	pre	80	true