Details

sample284.0ms

Algorithm

intervals

Results

22.0ms	436×	body	80	valid
9.0ms	436×	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 3 expressions with local error:

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))

rewrite69.0ms

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:

10.0ms	(* m (- 1.0 m))
6.0ms	(/ (* m (- 1.0 m)) v)
50.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series130.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(* m (- 1.0 m))
42.0ms	(/ (* m (- 1.0 m)) v)
44.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify56.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (49.0ms)

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

prune171.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite222.0ms

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))
9.0ms	(/ m (/ v (- 1.0 m)))
198.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

series109.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ v (- 1.0 m))
37.0ms	(/ m (/ v (- 1.0 m)))
35.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

simplify86.0ms

Algorithm

egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 2 (70.0ms)

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

prune396.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 1.0 (/ m v)) (/ (pow m 2) v))
0.0b	(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) (- 1.0 m))
14.4b	(/ (pow m 2) v)

rewrite242.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
25×	`times-frac`
22×	`add-cube-cbrt`
12×	`unpow-prod-down`
10×	`add-exp-log`
8×	`associate-/l*`
7×	`flip3--` `add-cbrt-cube` `flip--`
5×	`pow1` `associate-r` `associate-l` `unpow2` `add-log-exp`
4×	`frac-times` `associate-*r/` `sqr-pow`
3×	`sub-neg` `div-exp` `associate-/r*`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*l/` `distribute-lft-out--` `difference-of-squares`
1×	`cbrt-undiv` `pow-to-exp` `distribute-rgt-out--` `frac-2neg` `diff-log` `pow-prod-down` `pow-exp` `prod-exp` `clear-num` `*-commutative` `frac-sub` `cbrt-unprod` `div-inv` `sub-div` `unswap-sqr`

Counts

3 → 98

Calls

3 calls:

9.0ms	(- (* 1.0 (/ m v)) (/ (pow m 2) v))
226.0ms	(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) (- 1.0 m))
4.0ms	(/ (pow m 2) v)

series88.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(- (* 1.0 (/ m v)) (/ (pow m 2) v))
38.0ms	(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) (- 1.0 m))
19.0ms	(/ (pow m 2) v)

simplify55.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	435	849
1	1885	787
2	5002	784

prune236.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 108

Calls

3 calls:

7.0ms	(/ (- 1.0 m) v)
30.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) (- 1.0 m))
14.0ms	(* m (/ (- 1.0 m) v))

series105.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(/ (- 1.0 m) v)
37.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) (- 1.0 m))
36.0ms	(* m (/ (- 1.0 m) v))

simplify63.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	456	768
1	2212	714
2	5001	708

prune218.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes35.0ms

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	14	8
1	14	8

end0.0ms

sample1.1s

Algorithm

intervals

Results

664.0ms	13699×	body	80	valid
255.0ms	13699×	pre	80	true