Details

sample298.0ms

Algorithm

intervals

Results

22.0ms	448×	body	80	valid
11.0ms	448×	pre	80	true

simplify78.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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 2 expressions with local error:

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

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 57

Calls

2 calls:

6.0ms	(/ (* m (- 1.0 m)) v)
52.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series85.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(/ (* m (- 1.0 m)) v)
45.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify45.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	351	502
1	1691	463
2	5003	457

prune125.0ms

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))

rewrite227.0ms

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)))
205.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

series108.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ v (- 1.0 m))
39.0ms	(/ m (/ v (- 1.0 m)))
35.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

simplify89.0ms

Algorithm

egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 2 (71.0ms)

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

prune385.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize13.0ms

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))
12.7b	(/ (pow m 2) v)

rewrite249.0ms

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))
232.0ms	(* (- (- (* 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))
34.0ms	(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) (- 1.0 m))
21.0ms	(/ (pow m 2) v)

simplify54.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (45.0ms)

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

prune228.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite589.0ms

Algorithm

rewrite-expression-head

Rules

783×	`times-frac`
469×	`add-sqr-sqrt`
450×	`*-un-lft-identity`
338×	`add-cube-cbrt`
75×	`associate-/r*`
60×	`difference-of-squares`
55×	`distribute-lft-out--`
35×	`associate-/r/`
34×	`add-exp-log`
27×	`associate-/l*`
24×	`div-inv`
23×	`flip3--` `flip--`
22×	`add-cbrt-cube`
19×	`div-exp`
12×	`associate-l`
10×	`cbrt-undiv`
7×	`pow1`
5×	`associate-r`
4×	`frac-times` `add-log-exp`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `associate-l/`
1×	`pow-flip` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `associate-/l/` `inv-pow` `unswap-sqr`

Counts

4 → 476

Calls

4 calls:

5.0ms	(/ v (- 1.0 m))
14.0ms	(/ (/ v (- 1.0 m)) m)
514.0ms	(* (- (/ 1 (/ (/ v (- 1.0 m)) m)) 1.0) (- 1.0 m))
23.0ms	(/ 1 (/ (/ v (- 1.0 m)) m))

series163.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ v (- 1.0 m))
40.0ms	(/ (/ v (- 1.0 m)) m)
42.0ms	(* (- (/ 1 (/ (/ v (- 1.0 m)) m)) 1.0) (- 1.0 m))
49.0ms	(/ 1 (/ (/ v (- 1.0 m)) m))

simplify79.0ms

Algorithm

egg-herbie

Counts

488 → 488

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	1673	5027
1	5001	4169

prune736.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes39.0ms

Accuracy

0% (0.1b 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

sample1.2s

Algorithm

intervals

Results

659.0ms	13716×	body	80	valid
299.0ms	13716×	pre	80	true