Details

sample277.0ms

Algorithm

intervals

Results

12.0ms	418×	body	80	valid
7.0ms	418×	pre	80	true

simplify116.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	5
1	34	5
2	67	5
3	169	5
4	345	5
5	466	5
6	670	5
7	1014	5
8	1528	5
9	2117	5
10	3037	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)

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
12×	`add-exp-log` `add-cbrt-cube`
9×	`add-cube-cbrt`
8×	`associate-r` `associate-l`
7×	`pow1`
4×	`associate-*r/`
3×	`flip3--` `times-frac` `prod-exp` `associate-/r*` `flip--` `cbrt-unprod` `add-log-exp`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `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 → 71

Calls

3 calls:

23.0ms	(* m (- 1.0 m))
16.0ms	(/ (* m (- 1.0 m)) v)
78.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series119.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(* m (- 1.0 m))
37.0ms	(/ (* m (- 1.0 m)) v)
40.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify45.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	310	409
1	1511	363
2	5001	357

prune215.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 96

Calls

3 calls:

15.0ms	(/ (- 1.0 m) v)
49.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
28.0ms	(* m (/ (- 1.0 m) v))

series96.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(/ (- 1.0 m) v)
34.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
33.0ms	(* m (/ (- 1.0 m) v))

simplify49.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	370	577
1	1676	528
2	5001	522

prune298.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 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) (sqrt m))
0.4b	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

rewrite202.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

20.0ms	(* m (- 1.0 m))
16.0ms	(/ (* m (- 1.0 m)) v)
71.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
92.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

series190.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* m (- 1.0 m))
38.0ms	(/ (* m (- 1.0 m)) v)
65.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
47.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

simplify64.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	436	720
1	2105	615
2	5002	605

prune331.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) (sqrt m))
0.3b	(/ (* m (- 1.0 m)) (sqrt v))
0.4b	(* (* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) (sqrt m)) (sqrt m))
0.4b	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

rewrite500.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 173

Calls

4 calls:

207.0ms	(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) (sqrt m))
17.0ms	(/ (* m (- 1.0 m)) (sqrt v))
246.0ms	(* (* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) (sqrt m)) (sqrt m))
23.0ms	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

series216.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) (sqrt m))
52.0ms	(/ (* m (- 1.0 m)) (sqrt v))
45.0ms	(* (* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) (sqrt m)) (sqrt m))
46.0ms	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

simplify88.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	711	1898
1	3246	1581
2	5002	1568

prune674.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes135.0ms

Accuracy

0% (0.2b 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	10	5
1	10	5

end0.0ms

sample792.0ms

Algorithm

intervals

Results

365.0ms	13732×	body	80	valid
206.0ms	13732×	pre	80	true