Details

sample279.0ms

Algorithm

intervals

Results

11.0ms	437×	body	80	valid
6.0ms	437×	pre	80	true

simplify91.0ms

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

rewrite68.0ms

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:

8.0ms	(* m (- 1.0 m))
25.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
8.0ms	(/ (* m (- 1.0 m)) v)
18.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series154.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* m (- 1.0 m))
24.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
42.0ms	(/ (* m (- 1.0 m)) v)
45.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify100.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	583	1692
1	2840	1209
2	5001	1196

prune212.0ms

Filtered

181 candidates to 93 candidates (51.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	176	5	181
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	177	5	182

Merged error: 0.0b

Counts

182 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

93×	`prod-diff`
86×	`add-sqr-sqrt`
84×	`*-un-lft-identity`
80×	`sqrt-prod`
72×	`add-cube-cbrt`
39×	`distribute-rgt-in` `distribute-lft-in`
32×	`frac-times`
23×	`flip3--` `flip--`
16×	`add-exp-log` `associate-*l/` `add-cbrt-cube`
15×	`times-frac`
14×	`associate-r`
12×	`flip3-+` `associate-*r/` `flip-+`
11×	`pow1`
7×	`fma-neg`
6×	`associate-l` `add-log-exp` `difference-of-squares`
5×	`prod-exp` `cbrt-unprod` `div-inv`
4×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u` `distribute-lft-out--`
3×	`sub-neg` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `*-commutative` `associate-/l/` `distribute-lft-out`
1×	`frac-2neg` `diff-log` `clear-num` `associate-/l*` `unswap-sqr`

Counts

4 → 231

Calls

4 calls:

11.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
8.0ms	(/ (* m (- 1.0 m)) v)
26.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
17.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

series325.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
36.0ms	(/ (* m (- 1.0 m)) v)
132.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
135.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

simplify70.0ms

Algorithm

egg-herbie

Counts

243 → 243

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1206	4913
1	5002	3911

prune408.0ms

Filtered

243 candidates to 136 candidates (56.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	243	0	243
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	243	5	248

Merged error: 0.0b

Counts

248 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

190×	`times-frac`
152×	`add-sqr-sqrt`
144×	`*-un-lft-identity`
134×	`add-cube-cbrt`
114×	`prod-diff`
39×	`associate-/r/`
36×	`associate-*r/`
32×	`add-exp-log` `fma-neg`
24×	`flip3--` `flip--` `div-inv`
20×	`add-cbrt-cube`
14×	`div-exp`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`associate-/r*`
8×	`associate-l`
7×	`pow1` `cbrt-undiv` `difference-of-squares`
6×	`associate-/l*` `add-log-exp`
5×	`associate-r` `prod-exp` `distribute-lft-out--`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u`
3×	`sub-neg` `rec-exp` `1-exp` `cbrt-unprod`
2×	`frac-2neg` `associate-*l/` `clear-num`
1×	`pow-flip` `diff-log` `pow-prod-down` `*-commutative` `inv-pow` `unswap-sqr`

Counts

4 → 295

Calls

4 calls:

22.0ms	(- (/ 1 (/ v (* m (- 1.0 m)))) 1.0)
24.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) (- 1.0 m))
6.0ms	(/ v (* m (- 1.0 m)))
11.0ms	(/ 1 (/ v (* m (- 1.0 m))))

series153.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(- (/ 1 (/ v (* m (- 1.0 m)))) 1.0)
42.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) (- 1.0 m))
41.0ms	(/ v (* m (- 1.0 m)))
43.0ms	(/ 1 (/ v (* m (- 1.0 m))))

simplify136.0ms

Algorithm

egg-herbie

Counts

307 → 307

Iterations

Useful iterations: 2 (99.0ms)

Iter	Nodes	Cost
0	916	3635
1	4244	2423
2	5001	2400

prune315.0ms

Filtered

307 candidates to 141 candidates (45.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	306	1	307
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	306	6	312

Merged error: 0b

Counts

312 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (sqrt v) m)
0.2b	(/ 1 (/ (sqrt v) (- 1.0 m)))
0.2b	(fma (/ 1 (/ (sqrt v) m)) (/ 1 (/ (sqrt v) (- 1.0 m))) (- 1.0))
0.2b	(/ 1 (/ (sqrt v) m))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

384×	`times-frac`
247×	`add-sqr-sqrt` `*-un-lft-identity`
199×	`add-cube-cbrt`
108×	`sqrt-prod`
61×	`associate-/r*`
28×	`add-exp-log`
24×	`distribute-lft-out--` `difference-of-squares`
16×	`add-cbrt-cube`
15×	`div-exp`
12×	`associate-/l*`
11×	`div-inv`
10×	`associate-/r/`
7×	`cbrt-undiv`
6×	`pow1`
4×	`expm1-log1p-u` `rec-exp` `flip3--` `1-exp` `flip--` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`pow-flip` `inv-pow`
1×	`fma-udef`

Counts

4 → 335

Calls

4 calls:

4.0ms	(/ (sqrt v) m)
12.0ms	(/ 1 (/ (sqrt v) (- 1.0 m)))
1.0ms	(fma (/ 1 (/ (sqrt v) m)) (/ 1 (/ (sqrt v) (- 1.0 m))) (- 1.0))
8.0ms	(/ 1 (/ (sqrt v) m))

series264.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(/ (sqrt v) m)
44.0ms	(/ 1 (/ (sqrt v) (- 1.0 m)))
107.0ms	(fma (/ 1 (/ (sqrt v) m)) (/ 1 (/ (sqrt v) (- 1.0 m))) (- 1.0))
49.0ms	(/ 1 (/ (sqrt v) m))

simplify58.0ms

Algorithm

egg-herbie

Counts

347 → 347

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1107	3058
1	5001	2637

prune523.0ms

Filtered

347 candidates to 184 candidates (53.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	347	0	347
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	347	6	353

Merged error: 0b

Counts

353 → 6

regimes79.0ms

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	12
1	17	12

end0.0ms

sample715.0ms

Algorithm

intervals

Results

319.0ms	13821×	body	80	valid
176.0ms	13821×	pre	80	true