Details

sample274.0ms

Algorithm

intervals

Results

11.0ms	447×	body	80	valid
6.0ms	447×	pre	80	true

simplify128.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	5
1	34	5
2	72	5
3	188	5
4	406	5
5	636	5
6	938	5
7	1312	5
8	1969	5
9	2932	5
10	3912	5
11	5001	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
21×	`add-cube-cbrt`
18×	`prod-diff`
12×	`add-exp-log` `add-cbrt-cube`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`associate-r` `associate-l`
7×	`pow1`
4×	`associate-*r/`
3×	`expm1-log1p-u` `flip3--` `times-frac` `prod-exp` `associate-/r*` `flip--` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `sub-neg` `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 → 95

Calls

3 calls:

11.0ms	(* m (- 1.0 m))
10.0ms	(/ (* m (- 1.0 m)) v)
54.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series126.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(* m (- 1.0 m))
39.0ms	(/ (* m (- 1.0 m)) v)
43.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify62.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	394	683
1	1939	511
2	5001	505

prune166.0ms

Pruning

8 alts after pruning (8 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)))
0.2b	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

rewrite211.0ms

Algorithm

rewrite-expression-head

Rules

141×	`times-frac`
116×	`add-sqr-sqrt`
107×	`*-un-lft-identity`
73×	`add-cube-cbrt`
26×	`associate-/r*`
19×	`difference-of-squares`
17×	`distribute-lft-out--`
12×	`add-exp-log` `add-cbrt-cube`
11×	`associate-/r/`
7×	`associate-l`
6×	`flip3--` `flip--` `div-inv` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `div-exp`
3×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `associate-*l/` `clear-num`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 169

Calls

3 calls:

5.0ms	(/ v (- 1.0 m))
9.0ms	(/ m (/ v (- 1.0 m)))
189.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

series108.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ v (- 1.0 m))
35.0ms	(/ m (/ v (- 1.0 m)))
37.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

simplify78.0ms

Algorithm

egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	620	1297
1	3027	1241
2	5001	1241

prune381.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 1.0 (/ m v)) (/ (pow m 2) v))
0.2b	(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) m)
16.0b	(/ (pow m 2) v)

rewrite239.0ms

Algorithm

rewrite-expression-head

Rules

49×	`times-frac`
41×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
37×	`add-cube-cbrt`
28×	`prod-diff`
21×	`unpow-prod-down`
10×	`add-exp-log`
8×	`associate-/l*` `unpow2`
7×	`add-cbrt-cube` `sqr-pow`
5×	`pow1` `associate-l` `add-log-exp`
3×	`expm1-log1p-u` `div-exp` `associate-r` `associate-/r*` `log1p-expm1-u`
2×	`flip3--` `associate-r/` `associate-l/` `flip--` `div-inv`
1×	`cbrt-undiv` `pow-to-exp` `sub-neg` `distribute-rgt-out--` `frac-2neg` `fma-neg` `diff-log` `pow-prod-down` `pow-exp` `prod-exp` `clear-num` `*-commutative` `frac-sub` `cbrt-unprod` `distribute-lft-out--` `sub-div` `difference-of-squares` `unswap-sqr`

Counts

3 → 121

Calls

3 calls:

12.0ms	(- (* 1.0 (/ m v)) (/ (pow m 2) v))
218.0ms	(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) m)
4.0ms	(/ (pow m 2) v)

series87.0ms

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) m)
21.0ms	(/ (pow m 2) v)

simplify84.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	764	1363
1	2979	1014
2	5001	954

prune244.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite560.0ms

Algorithm

rewrite-expression-head

Rules

783×	`times-frac`
467×	`add-sqr-sqrt`
448×	`*-un-lft-identity`
338×	`add-cube-cbrt`
75×	`associate-/r*`
59×	`difference-of-squares`
54×	`distribute-lft-out--`
35×	`associate-/r/`
34×	`add-exp-log`
27×	`associate-/l*`
24×	`div-inv`
22×	`add-cbrt-cube`
19×	`div-exp`
18×	`flip3--` `flip--`
12×	`associate-l`
10×	`cbrt-undiv`
7×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `frac-2neg` `1-exp` `associate-r` `clear-num`
2×	`associate-*l/`
1×	`pow-flip` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `associate-/l/` `inv-pow` `unswap-sqr`

Counts

4 → 472

Calls

4 calls:

5.0ms	(/ v (- 1.0 m))
12.0ms	(/ (/ v (- 1.0 m)) m)
488.0ms	(* (- (/ 1 (/ (/ v (- 1.0 m)) m)) 1.0) m)
20.0ms	(/ 1 (/ (/ v (- 1.0 m)) m))

series167.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ v (- 1.0 m))
39.0ms	(/ (/ v (- 1.0 m)) m)
49.0ms	(* (- (/ 1 (/ (/ v (- 1.0 m)) m)) 1.0) m)
43.0ms	(/ 1 (/ (/ v (- 1.0 m)) m))

simplify74.0ms

Algorithm

egg-herbie

Counts

484 → 484

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	1606	4818
1	5002	3970

prune712.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes52.0ms

Accuracy

0% (0.1b 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	13	7
1	13	7

end0.0ms

sample715.0ms

Algorithm

intervals

Results

318.0ms	13679×	body	80	valid
177.0ms	13679×	pre	80	true