Details

sample281.0ms

Algorithm

intervals

Results

11.0ms	435×	body	80	valid
7.0ms	435×	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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 4 expressions with local error:

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

9.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
9.0ms	(* m (- 1.0 m))
18.0ms	(/ (* m (- 1.0 m)) v)
36.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series155.0ms

Counts

4 → 12

Calls

4 calls:

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

prune174.0ms

Filtered

97 candidates to 63 candidates (64.9%)

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)

rewrite273.0ms

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:

62.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
5.0ms	(/ v (- 1.0 m))
11.0ms	(/ m (/ v (- 1.0 m)))
186.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

series132.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
33.0ms	(/ v (- 1.0 m))
40.0ms	(/ m (/ v (- 1.0 m)))
36.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

simplify83.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 2 (63.0ms)

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

prune398.0ms

Filtered

191 candidates to 142 candidates (74.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt m) (cbrt m))
0.6b	(cbrt m)
0.6b	(cbrt m)
0.6b	(cbrt m)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt m) (cbrt m))
0.0ms	(cbrt m)
0.0ms	(cbrt m)
1.0ms	(cbrt m)

series720.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(* (cbrt m) (cbrt m))
172.0ms	(cbrt m)
174.0ms	(cbrt m)
173.0ms	(cbrt m)

simplify91.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune211.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (- (/ m (/ v (- 1.0 m))) 1.0) m)) (cbrt (* (- (/ m (/ v (- 1.0 m))) 1.0) m)))
0.6b	(cbrt (* (- (/ m (/ v (- 1.0 m))) 1.0) m))
0.6b	(cbrt (* (- (/ m (/ v (- 1.0 m))) 1.0) m))
0.6b	(cbrt (* (- (/ m (/ v (- 1.0 m))) 1.0) m))

rewrite315.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3--` `pow1/3` `flip--`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

148.0ms	(* (cbrt (* (- (/ m (/ v (- 1.0 m))) 1.0) m)) (cbrt (* (- (/ m (/ v (- 1.0 m))) 1.0) m)))
55.0ms	(cbrt (* (- (/ m (/ v (- 1.0 m))) 1.0) m))
55.0ms	(cbrt (* (- (/ m (/ v (- 1.0 m))) 1.0) m))
54.0ms	(cbrt (* (- (/ m (/ v (- 1.0 m))) 1.0) m))

series1.0s

Counts

4 → 12

Calls

4 calls:

255.0ms	(* (cbrt (* (- (/ m (/ v (- 1.0 m))) 1.0) m)) (cbrt (* (- (/ m (/ v (- 1.0 m))) 1.0) m)))
258.0ms	(cbrt (* (- (/ m (/ v (- 1.0 m))) 1.0) m))
258.0ms	(cbrt (* (- (/ m (/ v (- 1.0 m))) 1.0) m))
260.0ms	(cbrt (* (- (/ m (/ v (- 1.0 m))) 1.0) m))

simplify42.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	332	1261
1	1061	1168
2	5001	1099

prune230.0ms

Filtered

84 candidates to 67 candidates (79.8%)

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes71.0ms

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	9	5
1	9	5

end0.0ms

sample758.0ms

Algorithm

intervals

Results

323.0ms	13835×	body	80	valid
196.0ms	13835×	pre	80	true