Details

sample276.0ms

Algorithm

intervals

Results

11.0ms	421×	body	80	valid
6.0ms	421×	pre	80	true

simplify87.0ms

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

rewrite69.0ms

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:

29.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
7.0ms	(* m (- 1.0 m))
16.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
10.0ms	(/ (* m (- 1.0 m)) v)

series152.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
43.0ms	(* m (- 1.0 m))
42.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
45.0ms	(/ (* m (- 1.0 m)) v)

simplify96.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	583	1692
1	2838	1209
2	5002	1196

prune263.0ms

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

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

series155.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0)
53.0ms	(+ (* 1.0 m) (* (- m) m))
36.0ms	(* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) (- 1.0 m))
44.0ms	(/ (+ (* 1.0 m) (* (- m) m)) v)

simplify114.0ms

Algorithm

egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 2 (91.0ms)

Iter	Nodes	Cost
0	659	2618
1	3000	1982
2	5001	1915

prune355.0ms

Filtered

204 candidates to 119 candidates (58.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	201	3	204
Fresh	3	2	5
Picked	1	0	1
Done	0	0	0
Total	205	5	210

Merged error: 0b

Counts

210 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
123×	`add-sqr-sqrt` `*-un-lft-identity`
87×	`add-cube-cbrt`
26×	`associate-/r*`
21×	`prod-diff`
19×	`distribute-lft-out--`
17×	`difference-of-squares`
13×	`add-exp-log` `add-cbrt-cube`
12×	`flip3--` `flip--`
11×	`distribute-rgt-in` `distribute-lft-in` `associate-/r/`
6×	`pow1` `div-inv` `associate-/l*` `add-log-exp`
5×	`associate-r`
4×	`cbrt-undiv` `expm1-log1p-u` `frac-times` `div-exp` `associate-l` `log1p-expm1-u`
3×	`sub-neg`
2×	`frac-2neg` `associate-r/` `associate-l/` `clear-num`
1×	`fma-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 215

Calls

4 calls:

15.0ms	(- (* 1 (/ m (/ v (- 1.0 m)))) 1.0)
6.0ms	(/ v (- 1.0 m))
18.0ms	(* (- (* 1 (/ m (/ v (- 1.0 m)))) 1.0) (- 1.0 m))
9.0ms	(/ m (/ v (- 1.0 m)))

series130.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (* 1 (/ m (/ v (- 1.0 m)))) 1.0)
33.0ms	(/ v (- 1.0 m))
38.0ms	(* (- (* 1 (/ m (/ v (- 1.0 m)))) 1.0) (- 1.0 m))
36.0ms	(/ m (/ v (- 1.0 m)))

simplify131.0ms

Algorithm

egg-herbie

Counts

227 → 227

Iterations

Useful iterations: 2 (108.0ms)

Iter	Nodes	Cost
0	822	2078
1	4264	1804
2	5001	1802

prune459.0ms

Filtered

227 candidates to 161 candidates (70.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	226	1	227
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	227	5	232

Merged error: 0b

Counts

232 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1.0 m) v)
0.0b	(* (fma (/ m 1) (/ (- 1.0 m) v) (- 1.0)) (- 1.0 m))
0.2b	(fma (/ m 1) (/ (- 1.0 m) v) (- 1.0))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
27×	`add-cube-cbrt`
18×	`prod-diff`
15×	`times-frac`
11×	`distribute-rgt-in` `distribute-lft-in`
7×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-r` `associate-/l*` `distribute-lft-out--` `difference-of-squares`
3×	`expm1-log1p-u` `associate-l` `associate-/r*` `log1p-expm1-u` `add-log-exp`
2×	`sub-neg` `flip3--` `associate-*r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `fma-udef` `div-inv` `unswap-sqr`

Counts

3 → 96

Calls

3 calls:

6.0ms	(/ (- 1.0 m) v)
7.0ms	(* (fma (/ m 1) (/ (- 1.0 m) v) (- 1.0)) (- 1.0 m))
1.0ms	(fma (/ m 1) (/ (- 1.0 m) v) (- 1.0))

series103.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(/ (- 1.0 m) v)
39.0ms	(* (fma (/ m 1) (/ (- 1.0 m) v) (- 1.0)) (- 1.0 m))
33.0ms	(fma (/ m 1) (/ (- 1.0 m) v) (- 1.0))

simplify54.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	378	1039
1	1530	824
2	5003	822

prune185.0ms

Filtered

105 candidates to 68 candidates (64.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	105	5	110

Merged error: 0b

Counts

110 → 5

regimes43.0ms

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	14	7
1	16	7
2	16	7

end0.0ms

sample697.0ms

Algorithm

intervals

Results

311.0ms	13470×	body	80	valid
172.0ms	13470×	pre	80	true