Details

sample298.0ms

Algorithm

intervals

Results

24.0ms	448×	body	80	valid
11.0ms	448×	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: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 45

Calls

2 calls:

6.0ms	(/ (* m (- 1.0 m)) v)
44.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series82.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify34.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	261	309
1	1167	275
2	5001	269

prune94.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ v (* m (- 1.0 m)))
0.1b	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
0.3b	(/ 1 (/ v (* m (- 1.0 m))))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

44×	`times-frac`
34×	`add-sqr-sqrt`
31×	`add-exp-log`
29×	`*-un-lft-identity`
25×	`add-cube-cbrt`
19×	`add-cbrt-cube`
14×	`div-exp`
11×	`associate-/r/`
10×	`associate-r/` `associate-/r`
8×	`associate-l`
7×	`cbrt-undiv` `div-inv`
6×	`pow1` `flip3--` `flip--` `associate-/l*`
5×	`prod-exp`
3×	`rec-exp` `1-exp` `associate-r` `cbrt-unprod` `add-log-exp` `difference-of-squares`
2×	`frac-2neg` `associate-*l/` `clear-num` `distribute-lft-out--`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow` `unswap-sqr`

Counts

3 → 112

Calls

3 calls:

6.0ms	(/ v (* m (- 1.0 m)))
113.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
10.0ms	(/ 1 (/ v (* m (- 1.0 m))))

series132.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/ v (* m (- 1.0 m)))
48.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
44.0ms	(/ 1 (/ v (* m (- 1.0 m))))

simplify60.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	485	856
1	2423	711
2	5002	697

prune175.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 45

Calls

2 calls:

6.0ms	(/ (* m (- 1.0 m)) v)
35.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series69.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify36.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	261	309
1	1167	275
2	5001	269

prune78.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1.0 m) (/ (pow m 3) v))
0.0b	(- (* 1.0 (/ (pow m 2) v)) (+ (* 1.0 m) (/ (pow m 3) v)))
8.2b	(/ (pow m 3) v)
12.7b	(/ (pow m 2) v)

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

60×	`times-frac`
46×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
24×	`unpow-prod-down`
20×	`associate-/l*`
14×	`add-exp-log`
12×	`cube-prod`
11×	`add-log-exp`
8×	`add-cbrt-cube` `sqr-pow`
6×	`div-exp` `associate-/r*`
4×	`pow1` `cube-mult` `unpow3` `unpow2`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `flip3-+` `diff-log` `associate-*r/` `pow-exp` `clear-num` `sum-log` `frac-sub` `flip-+` `div-inv`
1×	`+-commutative` `sub-neg` `flip3--` `flip--` `associate--r+`

Counts

4 → 141

Calls

4 calls:

13.0ms	(+ (* 1.0 m) (/ (pow m 3) v))
33.0ms	(- (* 1.0 (/ (pow m 2) v)) (+ (* 1.0 m) (/ (pow m 3) v)))
5.0ms	(/ (pow m 3) v)
4.0ms	(/ (pow m 2) v)

series103.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ (* 1.0 m) (/ (pow m 3) v))
34.0ms	(- (* 1.0 (/ (pow m 2) v)) (+ (* 1.0 m) (/ (pow m 3) v)))
23.0ms	(/ (pow m 3) v)
18.0ms	(/ (pow m 2) v)

simplify85.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	482	869
1	2357	807
2	5001	786

prune284.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes68.0ms

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

sample1.3s

Algorithm

intervals

Results

709.0ms	13716×	body	80	valid
308.0ms	13716×	pre	80	true