Details

sample321.0ms

Algorithm

intervals

Results

9.0ms	406×	body	80	valid
5.0ms	406×	pre	80	true

simplify123.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	5
1	34	5
2	67	5
3	169	5
4	345	5
5	466	5
6	670	5
7	1014	5
8	1528	5
9	2117	5
10	3037	5
11	5001	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize32.0ms

Local error

Found 3 expressions with local error:

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

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 71

Calls

3 calls:

20.0ms	(* m (- 1.0 m))
15.0ms	(/ (* m (- 1.0 m)) v)
72.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series123.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(* m (- 1.0 m))
33.0ms	(/ (* m (- 1.0 m)) v)
46.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify47.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	310	409
1	1511	363
2	5001	357

prune140.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1.0 m))
0.0b	(/ v (* m (- 1.0 m)))
0.2b	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
0.3b	(/ 1 (/ v (* m (- 1.0 m))))

rewrite249.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 138

Calls

4 calls:

20.0ms	(* m (- 1.0 m))
11.0ms	(/ v (* m (- 1.0 m)))
191.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
22.0ms	(/ 1 (/ v (* m (- 1.0 m))))

series166.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* m (- 1.0 m))
36.0ms	(/ v (* m (- 1.0 m)))
45.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
40.0ms	(/ 1 (/ v (* m (- 1.0 m))))

simplify69.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	522	956
1	2623	799
2	5001	785

prune219.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ v (- 1.0 m))
0.2b	(* (- (/ 1 (* (/ 1 m) (/ v (- 1.0 m)))) 1.0) m)
0.3b	(/ 1 (* (/ 1 m) (/ v (- 1.0 m))))
0.3b	(* (/ 1 m) (/ v (- 1.0 m)))

rewrite243.0ms

Algorithm

rewrite-expression-head

Rules

108×	`add-exp-log`
69×	`add-sqr-sqrt`
53×	`*-un-lft-identity`
51×	`div-exp`
49×	`times-frac`
38×	`add-cbrt-cube`
34×	`add-cube-cbrt`
33×	`prod-exp`
24×	`associate-r`
19×	`associate-l`
17×	`rec-exp` `1-exp`
14×	`cbrt-undiv`
11×	`pow1`
9×	`cbrt-unprod` `distribute-lft-out--`
8×	`difference-of-squares`
7×	`associate-/r/` `unswap-sqr`
6×	`associate-/r` `associate-/l`
5×	`div-inv`
4×	`associate-*l/` `add-log-exp`
3×	`flip3--` `pow-prod-down` `flip--`
2×	`frac-times` `pow-flip` `frac-2neg` `associate-r/` `clear-num` `-commutative`
1×	`inv-pow`

Counts

4 → 179

Calls

4 calls:

11.0ms	(/ v (- 1.0 m))
152.0ms	(* (- (/ 1 (* (/ 1 m) (/ v (- 1.0 m)))) 1.0) m)
34.0ms	(/ 1 (* (/ 1 m) (/ v (- 1.0 m))))
38.0ms	(* (/ 1 m) (/ v (- 1.0 m)))

series127.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(/ v (- 1.0 m))
35.0ms	(* (- (/ 1 (* (/ 1 m) (/ v (- 1.0 m)))) 1.0) m)
33.0ms	(/ 1 (* (/ 1 m) (/ v (- 1.0 m))))
28.0ms	(* (/ 1 m) (/ v (- 1.0 m)))

simplify85.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	757	1236
1	3677	1012
2	5001	1009

prune301.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1.0 m))
0.2b	(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) m)
0.3b	(/ (* m (- 1.0 m)) (sqrt v))
0.4b	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

rewrite272.0ms

Algorithm

rewrite-expression-head

Rules

110×	`times-frac`
69×	`add-sqr-sqrt`
61×	`sqrt-prod`
59×	`*-un-lft-identity`
55×	`add-cube-cbrt`
22×	`add-exp-log` `add-cbrt-cube`
12×	`associate-/r*`
11×	`associate-/l*`
10×	`associate-l`
9×	`div-inv`
8×	`pow1` `associate-r`
7×	`cbrt-undiv` `div-exp`
4×	`associate-*r/` `prod-exp` `cbrt-unprod` `add-log-exp` `difference-of-squares`
3×	`flip3--` `flip--` `associate-/l/`
2×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 172

Calls

4 calls:

19.0ms	(* m (- 1.0 m))
209.0ms	(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) m)
17.0ms	(/ (* m (- 1.0 m)) (sqrt v))
20.0ms	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

series178.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* m (- 1.0 m))
43.0ms	(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) m)
48.0ms	(/ (* m (- 1.0 m)) (sqrt v))
46.0ms	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

simplify85.0ms

Algorithm

egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	682	1603
1	3195	1370
2	5002	1360

prune290.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes57.0ms

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	6
1	14	6

end0.0ms

sample732.0ms

Algorithm

intervals

Results

287.0ms	13615×	body	80	valid
161.0ms	13615×	pre	80	true