Details

sample291.0ms

Algorithm

intervals

Results

13.0ms	421×	body	80	valid
7.0ms	421×	pre	80	true

simplify90.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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)

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

291×	`add-sqr-sqrt`
241×	`*-un-lft-identity`
214×	`times-frac`
201×	`add-cube-cbrt`
174×	`prod-diff`
90×	`associate-r`
58×	`associate-l`
46×	`fma-neg`
24×	`difference-of-squares`
22×	`distribute-rgt-in` `distribute-lft-in`
20×	`distribute-lft-out--` `unswap-sqr`
18×	`*-commutative`
14×	`associate-/l*`
13×	`add-exp-log` `add-cbrt-cube`
9×	`flip3--` `flip--`
8×	`pow1`
6×	`associate-*r/` `add-log-exp`
5×	`sub-neg` `div-inv`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u`
3×	`prod-exp` `associate-/r*` `cbrt-unprod`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-*l/` `associate-/l/`
1×	`frac-2neg` `diff-log` `clear-num`

Counts

4 → 381

Calls

4 calls:

31.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
7.0ms	(* m (- 1.0 m))
48.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
15.0ms	(/ (* m (- 1.0 m)) v)

series150.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
48.0ms	(* m (- 1.0 m))
35.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
45.0ms	(/ (* m (- 1.0 m)) v)

simplify180.0ms

Algorithm

egg-herbie

Counts

393 → 393

Iterations

Useful iterations: 2 (125.0ms)

Iter	Nodes	Cost
0	984	4329
1	4213	3081
2	5001	3080

prune587.0ms

Filtered

393 candidates to 195 candidates (49.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	388	5	393
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	389	5	394

Merged error: 0b

Counts

394 → 5

localize11.0ms

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))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

139×	`add-sqr-sqrt`
113×	`*-un-lft-identity`
92×	`times-frac`
67×	`add-cube-cbrt`
60×	`associate-l`
57×	`associate-r`
28×	`associate-/l*`
20×	`difference-of-squares`
17×	`distribute-lft-out`
16×	`add-exp-log` `fma-def` `add-cbrt-cube` `distribute-lft-out--`
14×	`unswap-sqr`
12×	`*-commutative`
10×	`associate-*l/`
7×	`flip3--` `flip--`
6×	`pow1` `associate-/r*` `add-log-exp`
4×	`cbrt-undiv` `expm1-log1p-u` `distribute-rgt-neg-in` `associate-*r/` `div-exp` `frac-add` `log1p-expm1-u` `associate-/l/`
3×	`distribute-lft-neg-in` `prod-exp` `distribute-rgt-neg-out` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `div-inv`
1×	`+-commutative` `neg-mul-1` `distribute-rgt-out` `flip3-+` `unsub-neg` `pow-prod-down` `sum-log` `flip-+`

Counts

4 → 241

Calls

4 calls:

76.0ms	(+ (* (- (/ (* m (- 1.0 m)) v) 1.0) 1.0) (* (- (/ (* m (- 1.0 m)) v) 1.0) (- m)))
11.0ms	(/ (* m (- 1.0 m)) v)
15.0ms	(/ (* m (- 1.0 m)) v)
30.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- m))

series154.0ms

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)))
35.0ms	(/ (* m (- 1.0 m)) v)
40.0ms	(/ (* m (- 1.0 m)) v)
35.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- m))

simplify104.0ms

Algorithm

egg-herbie

Counts

253 → 253

Iterations

Useful iterations: 2 (85.0ms)

Iter	Nodes	Cost
0	758	1872
1	3616	1735
2	5001	1716

prune621.0ms

Filtered

253 candidates to 186 candidates (73.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	250	3	253
Fresh	3	1	4
Picked	0	1	1
Done	0	0	0
Total	253	5	258

Merged error: 0b

Counts

258 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite18.0ms

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:

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

series108.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(/ (- 1.0 m) v)
46.0ms	(* (fma (/ (* m 1) 1) (/ (- 1.0 m) v) (- 1.0)) (- 1.0 m))
30.0ms	(fma (/ (* m 1) 1) (/ (- 1.0 m) v) (- 1.0))

simplify53.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	379	1124
1	1531	847
2	5001	843

prune217.0ms

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

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt m) (cbrt m))
0.6b	(cbrt m)
0.6b	(cbrt m)
0.6b	(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`
8×	`add-cbrt-cube`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 84

Calls

4 calls:

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

series713.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(* (cbrt m) (cbrt m))
176.0ms	(cbrt m)
171.0ms	(cbrt m)
175.0ms	(cbrt m)

simplify97.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	128	331
1	526	287
2	3275	261
3	5001	258

prune257.0ms

Filtered

96 candidates to 72 candidates (75.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	96	5	101

Merged error: 0b

Counts

101 → 5

regimes49.0ms

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

sample758.0ms

Algorithm

intervals

Results

334.0ms	13470×	body	80	valid
190.0ms	13470×	pre	80	true