Details

sample285.0ms

Algorithm

intervals

Results

11.0ms	453×	body	80	valid
6.0ms	453×	pre	80	true

simplify118.0ms

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

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 59

Calls

3 calls:

18.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
7.0ms	(/ (* m (- 1.0 m)) v)
35.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series109.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
41.0ms	(/ (* m (- 1.0 m)) v)
45.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify38.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	285	432
1	1214	389
2	5001	374

prune131.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite280.0ms

Algorithm

rewrite-expression-head

Rules

144×	`times-frac`
126×	`add-sqr-sqrt`
110×	`*-un-lft-identity`
74×	`add-cube-cbrt`
26×	`associate-/r*`
22×	`difference-of-squares`
18×	`distribute-lft-out--`
13×	`add-exp-log` `add-cbrt-cube`
11×	`associate-/r/`
7×	`flip3--` `associate-l` `flip--`
6×	`pow1` `div-inv` `associate-/l*` `add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`associate-r`
2×	`frac-2neg` `associate-*l/` `clear-num`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 179

Calls

4 calls:

64.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
5.0ms	(/ v (- 1.0 m))
9.0ms	(/ m (/ v (- 1.0 m)))
193.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

series136.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
34.0ms	(/ v (- 1.0 m))
40.0ms	(/ m (/ v (- 1.0 m)))
35.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

simplify81.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	631	1428
1	3014	1368
2	5002	1367

prune412.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log`
17×	`add-cbrt-cube`
16×	`distribute-rgt-in` `distribute-lft-in` `associate-l`
14×	`add-sqr-sqrt`
13×	`prod-exp`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow1`
9×	`sub-neg` `times-frac`
8×	`associate--l+`
7×	`cbrt-unprod`
6×	`associate-*r/`
5×	`add-log-exp`
4×	`flip3--` `div-exp` `associate-r` `pow-prod-down` `flip--`
3×	`associate-*l/`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `*-commutative`
1×	`diff-log` `div-inv` `unswap-sqr`

Counts

3 → 89

Calls

3 calls:

17.0ms	(- (* (/ 1 v) (* m (- 1.0 m))) 1.0)
59.0ms	(* (- (* (/ 1 v) (* m (- 1.0 m))) 1.0) m)
18.0ms	(* (/ 1 v) (* m (- 1.0 m)))

series122.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(- (* (/ 1 v) (* m (- 1.0 m))) 1.0)
47.0ms	(* (- (* (/ 1 v) (* m (- 1.0 m))) 1.0) m)
48.0ms	(* (/ 1 v) (* m (- 1.0 m)))

simplify57.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	449	666
1	1974	553
2	5003	546

prune161.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 129

Calls

4 calls:

34.0ms	(- (/ 1 (/ v (* m (- 1.0 m)))) 1.0)
5.0ms	(/ v (* m (- 1.0 m)))
113.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
10.0ms	(/ 1 (/ v (* m (- 1.0 m))))

series166.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(- (/ 1 (/ v (* m (- 1.0 m)))) 1.0)
43.0ms	(/ v (* m (- 1.0 m)))
47.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
48.0ms	(/ 1 (/ v (* m (- 1.0 m))))

simplify65.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	517	1035
1	2484	876
2	5001	846

prune215.0ms

Pruning

7 alts after pruning (4 fresh and 3 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	9	5
1	9	5

end0.0ms

sample710.0ms

Algorithm

intervals

Results

314.0ms	13753×	body	80	valid
177.0ms	13753×	pre	80	true