Details

sample330.0ms

Algorithm

intervals

Results

10.0ms	435×	body	80	valid
6.0ms	435×	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	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

prune26.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite117.0ms

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:

21.0ms	(* m (- 1.0 m))
16.0ms	(/ (* m (- 1.0 m)) v)
76.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series140.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(* m (- 1.0 m))
39.0ms	(/ (* m (- 1.0 m)) v)
51.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify48.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (42.0ms)

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

prune151.0ms

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

rewrite99.0ms

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:

16.0ms	(/ (- 1.0 m) v)
51.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
27.0ms	(* m (/ (- 1.0 m) v))

series112.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ (- 1.0 m) v)
37.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
41.0ms	(* m (/ (- 1.0 m) v))

simplify54.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (44.0ms)

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

prune195.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite111.0ms

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:

21.0ms	(* m (- 1.0 m))
18.0ms	(/ (* m (- 1.0 m)) v)
70.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series125.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(* m (- 1.0 m))
41.0ms	(/ (* m (- 1.0 m)) v)
38.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify50.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (42.0ms)

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

prune131.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 m) v)
0.1b	(* (- (* (sqrt m) (* (sqrt m) (/ (- 1.0 m) v))) 1.0) m)
0.4b	(* (sqrt m) (* (sqrt m) (/ (- 1.0 m) v)))
0.4b	(* (sqrt m) (/ (- 1.0 m) v))

rewrite256.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
32×	`times-frac`
29×	`add-cube-cbrt`
23×	`associate-r`
22×	`add-exp-log` `add-cbrt-cube`
15×	`associate-l`
13×	`pow1`
8×	`prod-exp` `sqrt-prod` `cbrt-unprod`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`pow-prod-down` `associate-/l*` `unswap-sqr`
4×	`add-log-exp`
3×	`cbrt-undiv` `associate-r/` `div-exp` `associate-/r` `*-commutative`
2×	`flip3--` `associate-*l/` `flip--` `div-inv` `associate-/l/`
1×	`frac-2neg` `div-sub` `clear-num`

Counts

4 → 125

Calls

4 calls:

16.0ms	(/ (- 1.0 m) v)
159.0ms	(* (- (* (sqrt m) (* (sqrt m) (/ (- 1.0 m) v))) 1.0) m)
42.0ms	(* (sqrt m) (* (sqrt m) (/ (- 1.0 m) v)))
34.0ms	(* (sqrt m) (/ (- 1.0 m) v))

series232.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(/ (- 1.0 m) v)
55.0ms	(* (- (* (sqrt m) (* (sqrt m) (/ (- 1.0 m) v))) 1.0) m)
61.0ms	(* (sqrt m) (* (sqrt m) (/ (- 1.0 m) v)))
80.0ms	(* (sqrt m) (/ (- 1.0 m) v))

simplify68.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	501	935
1	2292	796
2	5001	793

prune276.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes76.0ms

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	10	5
1	10	5

end0.0ms

sample773.0ms

Algorithm

intervals

Results

301.0ms	13652×	body	80	valid
168.0ms	13652×	pre	80	true