Details

sample279.0ms

Algorithm

intervals

Results

12.0ms	472×	body	80	valid
8.0ms	472×	pre	80	true

simplify120.0ms

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

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* m (- 1.0 m)) v) 1.0)
0.0b	(* m (- 1.0 m))
0.1b	(/ (* m (- 1.0 m)) v)
0.2b	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

10.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
18.0ms	(* m (- 1.0 m))
7.0ms	(/ (* m (- 1.0 m)) v)
37.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series154.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
43.0ms	(* m (- 1.0 m))
41.0ms	(/ (* m (- 1.0 m)) v)
44.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify48.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	334	532
1	1558	477
2	5002	465

prune182.0ms

Pruning

9 alts after pruning (8 fresh and 1 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)

rewrite304.0ms

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:

69.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
7.0ms	(/ v (- 1.0 m))
10.0ms	(/ m (/ v (- 1.0 m)))
210.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

series131.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(- (/ 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)

simplify79.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 2 (64.0ms)

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

prune426.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 1.0 (/ m v)) (+ 1.0 (/ (pow m 2) v)))
0.2b	(* (- (* 1.0 (/ m v)) (+ 1.0 (/ (pow m 2) v))) m)
13.9b	(/ (pow m 2) v)

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt` `times-frac`
22×	`add-cube-cbrt` `*-un-lft-identity`
12×	`unpow-prod-down`
10×	`add-exp-log`
8×	`associate-/l*` `add-log-exp`
7×	`add-cbrt-cube`
5×	`pow1`
4×	`associate-r/` `associate-l/` `frac-sub` `unpow2` `sqr-pow`
3×	`div-exp` `associate-r` `associate-l` `associate-/r*`
2×	`flip3--` `flip3-+` `diff-log` `flip--` `flip-+`
1×	`cbrt-undiv` `pow-to-exp` `sub-neg` `frac-2neg` `pow-prod-down` `pow-exp` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `div-inv` `associate--r+` `unswap-sqr`

Counts

3 → 87

Calls

3 calls:

28.0ms	(- (* 1.0 (/ m v)) (+ 1.0 (/ (pow m 2) v)))
107.0ms	(* (- (* 1.0 (/ m v)) (+ 1.0 (/ (pow m 2) v))) m)
4.0ms	(/ (pow m 2) v)

series78.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(- (* 1.0 (/ m v)) (+ 1.0 (/ (pow m 2) v)))
34.0ms	(* (- (* 1.0 (/ m v)) (+ 1.0 (/ (pow m 2) v))) m)
19.0ms	(/ (pow m 2) v)

simplify49.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	377	703
1	1554	632
2	5001	629

prune217.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite619.0ms

Algorithm

rewrite-expression-head

Rules

783×	`times-frac`
467×	`add-sqr-sqrt`
448×	`*-un-lft-identity`
338×	`add-cube-cbrt`
75×	`associate-/r*`
59×	`difference-of-squares`
54×	`distribute-lft-out--`
35×	`associate-/r/`
34×	`add-exp-log`
27×	`associate-/l*`
24×	`div-inv`
22×	`add-cbrt-cube`
19×	`div-exp`
18×	`flip3--` `flip--`
12×	`associate-l`
10×	`cbrt-undiv`
7×	`pow1`
4×	`add-log-exp`
3×	`rec-exp` `frac-2neg` `1-exp` `associate-r` `clear-num`
2×	`associate-*l/`
1×	`pow-flip` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `associate-/l/` `inv-pow` `unswap-sqr`

Counts

4 → 464

Calls

4 calls:

5.0ms	(/ v (- 1.0 m))
13.0ms	(/ (/ v (- 1.0 m)) m)
540.0ms	(* (- (/ 1 (/ (/ v (- 1.0 m)) m)) 1.0) m)
22.0ms	(/ 1 (/ (/ v (- 1.0 m)) m))

series169.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ v (- 1.0 m))
39.0ms	(/ (/ v (- 1.0 m)) m)
50.0ms	(* (- (/ 1 (/ (/ v (- 1.0 m)) m)) 1.0) m)
44.0ms	(/ 1 (/ (/ v (- 1.0 m)) m))

simplify73.0ms

Algorithm

egg-herbie

Counts

476 → 476

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	1585	4803
1	5001	3950

prune756.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes58.0ms

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	14	7
1	14	7

end0.0ms

sample781.0ms

Algorithm

intervals

Results

335.0ms	13826×	body	80	valid
206.0ms	13826×	pre	80	true