Details

sample277.0ms

Algorithm

intervals

Results

10.0ms	419×	body	80	valid
6.0ms	419×	pre	80	true

simplify79.0ms

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: 0.0b

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

rewrite78.0ms

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)) v) 1.0)
9.0ms	(* m (- 1.0 m))
14.0ms	(/ (* m (- 1.0 m)) v)
42.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series155.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
44.0ms	(* m (- 1.0 m))
41.0ms	(/ (* m (- 1.0 m)) v)
45.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify59.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (49.0ms)

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

prune195.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite284.0ms

Algorithm

rewrite-expression-head

Rules

144×	`times-frac`
128×	`add-sqr-sqrt`
112×	`*-un-lft-identity`
74×	`add-cube-cbrt`
26×	`associate-/r*`
23×	`difference-of-squares`
19×	`distribute-lft-out--`
13×	`add-exp-log` `add-cbrt-cube`
12×	`flip3--` `flip--`
11×	`associate-/r/`
7×	`associate-l`
6×	`pow1` `div-inv` `associate-/l*` `add-log-exp`
5×	`associate-r`
4×	`cbrt-undiv` `frac-times` `div-exp`
3×	`sub-neg`
2×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `associate-r/` `associate-l/` `clear-num`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 191

Calls

4 calls:

5.0ms	(/ v (- 1.0 m))
64.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
196.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))
9.0ms	(/ m (/ v (- 1.0 m)))

series133.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(/ v (- 1.0 m))
25.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
34.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))
40.0ms	(/ m (/ v (- 1.0 m)))

simplify89.0ms

Algorithm

egg-herbie

Counts

203 → 203

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	699	1623
1	3448	1558
2	5001	1557

prune423.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

60.0ms	(* (cbrt (- (/ (* m (- 1.0 m)) v) 1.0)) (cbrt (- (/ (* m (- 1.0 m)) v) 1.0)))
7.0ms	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))
7.0ms	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))
7.0ms	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))

series807.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(* (cbrt (- (/ (* m (- 1.0 m)) v) 1.0)) (cbrt (- (/ (* m (- 1.0 m)) v) 1.0)))
203.0ms	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))
200.0ms	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))
208.0ms	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))

simplify133.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (118.0ms)

Iter	Nodes	Cost
0	305	1577
1	939	1498
2	4519	1397
3	5001	1390

prune286.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1.0 m))
0.0b	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- (pow 1.0 3) (pow m 3)))
0.0b	(/ (* m (- 1.0 m)) v)
3.5b	(/ (* (- (/ (* m (- 1.0 m)) v) 1.0) (- (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (+ (* m m) (* 1.0 m))))

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
30×	`associate-r`
26×	`*-un-lft-identity`
18×	`add-exp-log` `add-cbrt-cube` `difference-of-squares`
14×	`flip3--` `flip--`
12×	`add-cube-cbrt` `unpow-prod-down` `cube-prod`
10×	`associate-/l/`
8×	`pow1` `frac-times` `associate-r/` `associate-l*` `sqr-pow`
7×	`distribute-lft-out--`
6×	`times-frac` `associate-/r*`
4×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`frac-2neg` `pow-prod-down` `clear-num` `associate-/r/` `-commutative` `div-inv` `associate-/l` `unswap-sqr`
1×	`difference-cubes` `flip3-+` `flip-+`

Counts

4 → 134

Calls

4 calls:

9.0ms	(* m (- 1.0 m))
81.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- (pow 1.0 3) (pow m 3)))
6.0ms	(/ (* m (- 1.0 m)) v)
46.0ms	(/ (* (- (/ (* m (- 1.0 m)) v) 1.0) (- (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (+ (* m m) (* 1.0 m))))

series201.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* m (- 1.0 m))
38.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- (pow 1.0 3) (pow m 3)))
40.0ms	(/ (* m (- 1.0 m)) v)
75.0ms	(/ (* (- (/ (* m (- 1.0 m)) v) 1.0) (- (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (+ (* m m) (* 1.0 m))))

simplify117.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 2 (102.0ms)

Iter	Nodes	Cost
0	742	1465
1	4249	1313
2	5002	1303

prune402.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes64.0ms

Accuracy

0% (0.0b 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	10	6
1	10	6

end0.0ms

sample707.0ms

Algorithm

intervals

Results

315.0ms	13562×	body	80	valid
179.0ms	13562×	pre	80	true