Details

sample283.0ms

Algorithm

intervals

Results

11.0ms	437×	body	80	valid
6.0ms	437×	pre	80	true

simplify133.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	5
1	34	5
2	72	5
3	188	5
4	406	5
5	636	5
6	938	5
7	1312	5
8	1969	5
9	2932	5
10	3912	5
11	5001	5

prune5.0ms

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 4 expressions with local error:

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

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
39×	`prod-diff`
37×	`add-cube-cbrt`
15×	`times-frac`
13×	`add-exp-log` `add-cbrt-cube`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`pow1` `associate-r` `associate-l`
7×	`fma-neg`
6×	`add-log-exp`
5×	`div-inv`
4×	`expm1-log1p-u` `flip3--` `associate-*r/` `flip--` `log1p-expm1-u`
3×	`sub-neg` `prod-exp` `associate-/r*` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `diff-log` `clear-num` `associate-/l*`

Counts

4 → 139

Calls

4 calls:

23.0ms	(* m (- 1.0 m))
11.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
8.0ms	(/ (* m (- 1.0 m)) v)
14.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series154.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* m (- 1.0 m))
27.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
37.0ms	(/ (* m (- 1.0 m)) v)
45.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify83.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	492	1130
1	2310	788
2	5002	775

prune198.0ms

Filtered

151 candidates to 83 candidates (55.0%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	142	9	151
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	143	9	152

Merged error: 0.0b

Counts

152 → 9

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
15×	`add-cube-cbrt` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/l*`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`expm1-log1p-u` `associate-r` `associate-l` `associate-/r*` `log1p-expm1-u` `add-log-exp`
2×	`associate-/l/`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `flip--` `cbrt-unprod` `fma-udef` `div-inv` `unswap-sqr`

Counts

3 → 70

Calls

3 calls:

7.0ms	(/ (- 1.0 m) v)
1.0ms	(fma (/ m 1) (/ (- 1.0 m) v) (- 1.0))
3.0ms	(* (fma (/ m 1) (/ (- 1.0 m) v) (- 1.0)) m)

series107.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(/ (- 1.0 m) v)
28.0ms	(fma (/ m 1) (/ (- 1.0 m) v) (- 1.0))
47.0ms	(* (fma (/ m 1) (/ (- 1.0 m) v) (- 1.0)) m)

simplify161.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	270	495
1	918	437
2	4973	434
3	5001	434

prune152.0ms

Filtered

79 candidates to 60 candidates (75.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	78	1	79
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	79	9	88

Merged error: 0.0b

Counts

88 → 9

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)) v)
0.2b	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
0.5b	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
30×	`*-un-lft-identity`
26×	`add-cube-cbrt`
21×	`prod-diff`
16×	`add-exp-log` `add-cbrt-cube`
15×	`times-frac`
12×	`associate-r`
11×	`pow1`
7×	`fma-neg` `sqrt-prod`
6×	`associate-l` `associate-*l/` `add-log-exp`
5×	`prod-exp` `cbrt-unprod` `div-inv`
4×	`expm1-log1p-u` `flip3--` `pow-prod-down` `flip--` `log1p-expm1-u`
3×	`associate-/r*`
2×	`cbrt-undiv` `associate-r/` `div-exp` `-commutative` `associate-/l/` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`sub-neg` `frac-2neg` `diff-log` `clear-num` `associate-/l*`

Counts

4 → 122

Calls

4 calls:

11.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
8.0ms	(/ (* m (- 1.0 m)) v)
14.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
16.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

series187.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
36.0ms	(/ (* m (- 1.0 m)) v)
76.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
51.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

simplify74.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	506	1132
1	2249	880
2	5001	856

prune206.0ms

Filtered

134 candidates to 82 candidates (61.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	134	9	143

Merged error: 0.0b

Counts

143 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (- (/ (* m (- 1.0 m)) v) 1.0)) (cbrt (- (/ (* m (- 1.0 m)) v) 1.0)))
0.3b	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))
0.3b	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))
0.3b	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

22.0ms	(* (cbrt (- (/ (* m (- 1.0 m)) v) 1.0)) (cbrt (- (/ (* m (- 1.0 m)) v) 1.0)))
9.0ms	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))
9.0ms	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))
9.0ms	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))

series836.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(* (cbrt (- (/ (* m (- 1.0 m)) v) 1.0)) (cbrt (- (/ (* m (- 1.0 m)) v) 1.0)))
212.0ms	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))
209.0ms	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))
214.0ms	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))

simplify138.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	318	1637
1	978	1558
2	4668	1454
3	5001	1454

prune279.0ms

Filtered

121 candidates to 89 candidates (73.6%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	120	1	121
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	120	10	130

Merged error: 0b

Counts

130 → 10

regimes107.0ms

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	13	6
1	15	6
2	15	6

end0.0ms

sample712.0ms

Algorithm

intervals

Results

322.0ms	13821×	body	80	valid
177.0ms	13821×	pre	80	true