Details

sample289.0ms

Algorithm

intervals

Results

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

simplify115.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

rewrite65.0ms

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:

18.0ms	(* m (- 1.0 m))
7.0ms	(/ (* m (- 1.0 m)) v)
37.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series130.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(* m (- 1.0 m))
37.0ms	(/ (* m (- 1.0 m)) v)
44.0ms	(* (- (/ (* 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

prune145.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 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)
0.3b	(* m (/ (- 1.0 m) v))

rewrite50.0ms

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:

7.0ms	(/ (- 1.0 m) v)
25.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
14.0ms	(* m (/ (- 1.0 m) v))

series106.0ms

Counts

3 → 9

Calls

3 calls:

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

prune187.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite230.0ms

Algorithm

rewrite-expression-head

Rules

838×	`times-frac`
582×	`add-sqr-sqrt`
556×	`*-un-lft-identity`
425×	`sqrt-prod`
386×	`add-cube-cbrt`
211×	`associate-r`
85×	`distribute-lft-out--` `difference-of-squares`
39×	`associate-/l*`
22×	`add-exp-log` `add-cbrt-cube`
16×	`div-inv`
12×	`associate-/r*`
8×	`pow1` `unswap-sqr`
7×	`cbrt-undiv` `div-exp`
6×	`associate-l`
4×	`prod-exp` `cbrt-unprod` `add-log-exp`
3×	`div-sub` `associate-/l/`
2×	`flip3--` `frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `flip--`
1×	`associate-*r/`

Counts

4 → 570

Calls

4 calls:

79.0ms	(* (- (* m (/ (/ (- 1.0 m) (sqrt v)) (sqrt v))) 1.0) m)
76.0ms	(* m (/ (/ (- 1.0 m) (sqrt v)) (sqrt v)))
8.0ms	(/ (- 1.0 m) (sqrt v))
18.0ms	(/ (/ (- 1.0 m) (sqrt v)) (sqrt v))

series172.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (- (* m (/ (/ (- 1.0 m) (sqrt v)) (sqrt v))) 1.0) m)
45.0ms	(* m (/ (/ (- 1.0 m) (sqrt v)) (sqrt v)))
45.0ms	(/ (- 1.0 m) (sqrt v))
35.0ms	(/ (/ (- 1.0 m) (sqrt v)) (sqrt v))

simplify77.0ms

Algorithm

egg-herbie

Counts

582 → 582

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	1390	5994
1	5001	5217

prune773.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite101.0ms

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:

9.0ms	(* m (- 1.0 m))
6.0ms	(/ (* m (- 1.0 m)) v)
35.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
47.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

series211.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* m (- 1.0 m))
36.0ms	(/ (* m (- 1.0 m)) v)
76.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
49.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

simplify60.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (51.0ms)

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

prune186.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes47.0ms

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

sample684.0ms

Algorithm

intervals

Results

293.0ms	13788×	body	80	valid
175.0ms	13788×	pre	80	true