Details

sample279.0ms

Algorithm

intervals

Results

11.0ms	431×	body	80	valid
7.0ms	431×	pre	80	true

simplify77.0ms

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 3 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 83

Calls

3 calls:

6.0ms	(* m (- 1.0 m))
7.0ms	(/ (* m (- 1.0 m)) v)
16.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series142.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(* m (- 1.0 m))
37.0ms	(/ (* m (- 1.0 m)) v)
54.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify58.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	389	602
1	1946	551
2	5003	545

prune173.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

141×	`times-frac`
118×	`add-sqr-sqrt`
109×	`*-un-lft-identity`
73×	`add-cube-cbrt`
26×	`associate-/r*`
20×	`difference-of-squares`
18×	`distribute-lft-out--`
12×	`add-exp-log` `add-cbrt-cube`
11×	`flip3--` `associate-/r/` `flip--`
7×	`associate-l`
6×	`div-inv` `associate-/l*`
5×	`pow1` `associate-r`
4×	`cbrt-undiv` `frac-times` `div-exp`
3×	`add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `associate-r/` `associate-l/` `clear-num`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 175

Calls

3 calls:

5.0ms	(/ v (- 1.0 m))
30.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))
12.0ms	(/ m (/ v (- 1.0 m)))

series111.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ v (- 1.0 m))
35.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))
41.0ms	(/ m (/ v (- 1.0 m)))

simplify94.0ms

Algorithm

egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	684	1470
1	3431	1414
2	5002	1413

prune403.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

249×	`times-frac`
183×	`add-sqr-sqrt`
174×	`*-un-lft-identity`
124×	`add-cube-cbrt`
42×	`associate-/r*`
27×	`difference-of-squares`
25×	`distribute-lft-out--`
18×	`associate-/r/`
16×	`add-exp-log` `add-cbrt-cube`
13×	`flip3--` `flip--`
10×	`associate-r` `associate-*l/` `div-inv`
7×	`associate-l`
6×	`pow1` `cbrt-undiv` `div-exp` `associate-/l*` `add-log-exp`
4×	`frac-add`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `distribute-rgt-neg-out`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `neg-mul-1` `flip3-+` `unsub-neg` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 254

Calls

4 calls:

39.0ms	(+ (* (- (/ m (/ v (- 1.0 m))) 1.0) 1.0) (* (- (/ m (/ v (- 1.0 m))) 1.0) (- m)))
8.0ms	(/ m (/ v (- 1.0 m)))
9.0ms	(/ m (/ v (- 1.0 m)))
28.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- m))

series156.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(+ (* (- (/ m (/ v (- 1.0 m))) 1.0) 1.0) (* (- (/ m (/ v (- 1.0 m))) 1.0) (- m)))
35.0ms	(/ m (/ v (- 1.0 m)))
36.0ms	(/ m (/ v (- 1.0 m)))
41.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- m))

simplify116.0ms

Algorithm

egg-herbie

Counts

266 → 266

Iterations

Useful iterations: 2 (91.0ms)

Iter	Nodes	Cost
0	797	2448
1	3990	2315
2	5001	2314

prune713.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (+ (* 1.0 m) (/ (pow m 3) v)) (* 1.0 (/ (pow m 2) v)))
0.1b	(/ m (/ v (- 1.0 m)))
7.2b	(/ (pow m 3) v)
10.4b	(/ (pow m 2) v)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

183×	`times-frac`
128×	`add-sqr-sqrt` `*-un-lft-identity`
104×	`add-cube-cbrt`
27×	`associate-/r*`
24×	`unpow-prod-down`
23×	`associate-/l*`
19×	`add-exp-log`
13×	`add-cbrt-cube`
12×	`cube-prod` `distribute-lft-out--` `difference-of-squares`
9×	`div-exp` `associate-/r/` `add-log-exp`
8×	`sqr-pow`
7×	`div-inv`
5×	`cbrt-undiv` `flip3--` `flip--`
4×	`pow1` `cube-mult` `unpow3` `unpow2`
3×	`frac-2neg` `clear-num`
2×	`pow-to-exp` `diff-log` `associate-*r/` `pow-exp` `frac-sub`
1×	`sub-neg` `flip3-+` `associate--l+` `sum-log` `flip-+`

Counts

4 → 232

Calls

4 calls:

15.0ms	(- (+ (* 1.0 m) (/ (pow m 3) v)) (* 1.0 (/ (pow m 2) v)))
9.0ms	(/ m (/ v (- 1.0 m)))
5.0ms	(/ (pow m 3) v)
5.0ms	(/ (pow m 2) v)

series114.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(- (+ (* 1.0 m) (/ (pow m 3) v)) (* 1.0 (/ (pow m 2) v)))
42.0ms	(/ m (/ v (- 1.0 m)))
21.0ms	(/ (pow m 3) v)
19.0ms	(/ (pow m 2) v)

simplify138.0ms

Algorithm

egg-herbie

Counts

244 → 244

Iterations

Useful iterations: 1 (23.0ms)

Iter	Nodes	Cost
0	857	1649
1	4877	1540
2	5001	1540

prune693.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes56.0ms

Accuracy

0% (0.1b 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	16	12
1	20	12
2	21	12
3	21	12

end0.0ms

sample715.0ms

Algorithm

intervals

Results

318.0ms	13651×	body	80	valid
184.0ms	13651×	pre	80	true