Details

sample291.0ms

Algorithm

intervals

Results

21.0ms	425×	body	80	valid
9.0ms	425×	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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

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

rewrite82.0ms

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:

9.0ms	(* m (- 1.0 m))
10.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
51.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
8.0ms	(/ (* m (- 1.0 m)) v)

series161.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* m (- 1.0 m))
23.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
42.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
47.0ms	(/ (* m (- 1.0 m)) v)

simplify60.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (51.0ms)

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

prune206.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1.0 m))
0.1b	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) (- 1.0 m))
0.1b	(/ v (* m (- 1.0 m)))
0.2b	(/ 1 (/ v (* m (- 1.0 m))))

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

44×	`times-frac`
43×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
34×	`add-exp-log`
28×	`add-cube-cbrt`
22×	`add-cbrt-cube`
14×	`associate-*r/` `div-exp`
12×	`flip3--` `flip--`
11×	`associate-l` `associate-/r/`
10×	`associate-r` `associate-/r*`
9×	`pow1`
7×	`cbrt-undiv` `div-inv`
6×	`prod-exp` `associate-/l*`
5×	`difference-of-squares`
4×	`distribute-rgt-in` `frac-times` `sub-neg` `distribute-lft-in` `cbrt-unprod` `distribute-lft-out--` `add-log-exp`
3×	`rec-exp` `1-exp`
2×	`frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `unswap-sqr`
1×	`pow-flip` `inv-pow`

Counts

4 → 150

Calls

4 calls:

10.0ms	(* m (- 1.0 m))
123.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) (- 1.0 m))
5.0ms	(/ v (* m (- 1.0 m)))
10.0ms	(/ 1 (/ v (* m (- 1.0 m))))

series183.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* m (- 1.0 m))
47.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) (- 1.0 m))
41.0ms	(/ v (* m (- 1.0 m)))
49.0ms	(/ 1 (/ v (* m (- 1.0 m))))

simplify85.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	602	1176
1	3072	1014
2	5002	1001

prune261.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* m (/ (- 1.0 m) v)) 1.0)
0.0b	(/ (- 1.0 m) v)
0.1b	(* (- (* m (/ (- 1.0 m) v)) 1.0) (- 1.0 m))
0.3b	(* m (/ (- 1.0 m) v))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
31×	`times-frac`
26×	`add-cube-cbrt`
24×	`associate-r`
13×	`add-exp-log` `add-cbrt-cube`
8×	`pow1` `flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
6×	`associate-l` `add-log-exp`
5×	`associate-/l*`
4×	`frac-times`
3×	`sub-neg` `associate-r/` `prod-exp` `associate-/r` `cbrt-unprod` `unswap-sqr`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv` `associate-/l/`
1×	`frac-2neg` `diff-log` `div-sub` `clear-num`

Counts

4 → 120

Calls

4 calls:

6.0ms	(- (* m (/ (- 1.0 m) v)) 1.0)
7.0ms	(/ (- 1.0 m) v)
32.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) (- 1.0 m))
14.0ms	(* m (/ (- 1.0 m) v))

series133.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(- (* m (/ (- 1.0 m) v)) 1.0)
32.0ms	(/ (- 1.0 m) v)
40.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) (- 1.0 m))
38.0ms	(* m (/ (- 1.0 m) v))

simplify67.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	465	875
1	2224	812
2	5002	800

prune249.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(* m (/ (- 1.0 m) v))
0.3b	(* m (/ (- 1.0 m) v))
0.3b	(* m (/ (- 1.0 m) v))
0.3b	(* (cbrt (* (- (* m (/ (- 1.0 m) v)) 1.0) (- 1.0 m))) (cbrt (* (- (* m (/ (- 1.0 m) v)) 1.0) (- 1.0 m))))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

144×	`cbrt-div`
136×	`frac-times`
108×	`flip3--` `flip--`
73×	`add-sqr-sqrt`
61×	`associate-r`
56×	`*-un-lft-identity`
48×	`times-frac`
47×	`associate-*r/`
44×	`associate-*l/`
38×	`add-cube-cbrt`
21×	`add-exp-log`
19×	`add-cbrt-cube`
17×	`pow1`
13×	`associate-l`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`prod-exp` `cbrt-unprod` `unswap-sqr`
6×	`pow1/3`
5×	`pow-prod-down`
4×	`cbrt-prod` `swap-sqr` `*-commutative` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `div-inv`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 225

Calls

4 calls:

14.0ms	(* m (/ (- 1.0 m) v))
14.0ms	(* m (/ (- 1.0 m) v))
15.0ms	(* m (/ (- 1.0 m) v))
25.0ms	(* (cbrt (* (- (* m (/ (- 1.0 m) v)) 1.0) (- 1.0 m))) (cbrt (* (- (* m (/ (- 1.0 m) v)) 1.0) (- 1.0 m))))

series281.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* m (/ (- 1.0 m) v))
37.0ms	(* m (/ (- 1.0 m) v))
37.0ms	(* m (/ (- 1.0 m) v))
168.0ms	(* (cbrt (* (- (* m (/ (- 1.0 m) v)) 1.0) (- 1.0 m))) (cbrt (* (- (* m (/ (- 1.0 m) v)) 1.0) (- 1.0 m))))

simplify98.0ms

Algorithm

egg-herbie

Counts

237 → 237

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	635	4287
1	2418	4189
2	5001	4114

prune639.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes45.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	7
1	14	7

end0.0ms

sample1.1s

Algorithm

intervals

Results

644.0ms	13837×	body	80	valid
265.0ms	13837×	pre	80	true