Details

sample278.0ms

Algorithm

intervals

Results

11.0ms	457×	body	80	valid
7.0ms	457×	pre	80	true

simplify120.0ms

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	2116	5
10	3036	5
11	5001	5

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.2b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

65×	`add-sqr-sqrt`
46×	`*-un-lft-identity`
44×	`times-frac`
34×	`add-cube-cbrt`
28×	`associate-r`
22×	`associate-l`
14×	`associate-/l*`
12×	`add-exp-log` `add-cbrt-cube`
8×	`difference-of-squares`
7×	`pow1` `unswap-sqr`
6×	`*-commutative` `distribute-lft-out--`
4×	`associate-*r/`
3×	`flip3--` `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/` `associate-/l/`
1×	`frac-2neg` `clear-num` `div-inv`

Counts

3 → 125

Calls

3 calls:

7.0ms	(* m (- 1.0 m))
10.0ms	(/ (* m (- 1.0 m)) v)
47.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series137.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(* m (- 1.0 m))
45.0ms	(/ (* m (- 1.0 m)) v)
45.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify62.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	472	797
1	2211	748
2	5001	742

prune190.0ms

Filtered

134 candidates to 93 candidates (69.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	128	6	134
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	128	7	135

Merged error: 0.0b

Counts

135 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 90

Calls

2 calls:

11.0ms	(* (- 1.0 m) (/ m v))
24.0ms	(* (- (* (- 1.0 m) (/ m v)) 1.0) m)

series78.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(* (- 1.0 m) (/ m v))
40.0ms	(* (- (* (- 1.0 m) (/ m v)) 1.0) m)

simplify60.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	418	606
1	2257	570
2	5001	564

prune133.0ms

Filtered

96 candidates to 64 candidates (66.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	93	3	96
Fresh	3	2	5
Picked	1	0	1
Done	1	0	1
Total	98	5	103

Merged error: 0.0b

Counts

103 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite245.0ms

Algorithm

rewrite-expression-head

Rules

521×	`add-sqr-sqrt`
321×	`*-un-lft-identity`
276×	`times-frac`
234×	`associate-l`
179×	`difference-of-squares`
125×	`add-cube-cbrt`
85×	`unswap-sqr`
84×	`swap-sqr`
81×	`associate-r`
77×	`*-commutative`
73×	`associate-/l*`
54×	`distribute-lft-out`
36×	`frac-times` `distribute-lft-out--`
31×	`associate-/l/`
22×	`flip3--` `associate-/r*` `flip--`
20×	`add-exp-log` `add-cbrt-cube`
18×	`associate-*r/`
9×	`clear-num`
8×	`pow1`
7×	`frac-2neg` `div-inv`
6×	`associate-*l/` `add-log-exp`
5×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
4×	`un-div-inv`
2×	`pow-prod-down` `associate-/r/`
1×	`sub-neg` `flip3-+` `diff-log` `flip-+`

Counts

4 → 477

Calls

4 calls:

19.0ms	(- (* 1.0 1.0) (* m m))
46.0ms	(/ (* (- (* 1.0 1.0) (* m m)) (/ m v)) (+ 1.0 m))
35.0ms	(* (- (* 1.0 1.0) (* m m)) (/ m v))
113.0ms	(* (- (/ (* (- (* 1.0 1.0) (* m m)) (/ m v)) (+ 1.0 m)) 1.0) m)

series235.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(- (* 1.0 1.0) (* m m))
75.0ms	(/ (* (- (* 1.0 1.0) (* m m)) (/ m v)) (+ 1.0 m))
53.0ms	(* (- (* 1.0 1.0) (* m m)) (/ m v))
68.0ms	(* (- (/ (* (- (* 1.0 1.0) (* m m)) (/ m v)) (+ 1.0 m)) 1.0) m)

simplify88.0ms

Algorithm

egg-herbie

Counts

489 → 489

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1253	4504
1	5001	4348

prune566.0ms

Filtered

489 candidates to 235 candidates (48.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	487	2	489
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	489	5	494

Merged error: 0.0b

Counts

494 → 5

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (- 1.0 m) (/ m v))
0.2b	(* (- (* (- 1.0 m) (/ m v)) 1.0) (sqrt m))
0.4b	(* (* (- (* (- 1.0 m) (/ m v)) 1.0) (sqrt m)) (sqrt m))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 144

Calls

3 calls:

12.0ms	(* (- 1.0 m) (/ m v))
26.0ms	(* (- (* (- 1.0 m) (/ m v)) 1.0) (sqrt m))
32.0ms	(* (* (- (* (- 1.0 m) (/ m v)) 1.0) (sqrt m)) (sqrt m))

series172.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(* (- 1.0 m) (/ m v))
79.0ms	(* (- (* (- 1.0 m) (/ m v)) 1.0) (sqrt m))
50.0ms	(* (* (- (* (- 1.0 m) (/ m v)) 1.0) (sqrt m)) (sqrt m))

simplify80.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	578	1169
1	3070	1043
2	5001	1031

prune210.0ms

Filtered

153 candidates to 100 candidates (65.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	151	2	153
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	152	6	158

Merged error: 0b

Counts

158 → 6

regimes51.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	9
1	15	9

end0.0ms

sample718.0ms

Algorithm

intervals

Results

326.0ms	13780×	body	80	valid
173.0ms	13780×	pre	80	true