Details

sample19.0ms

Algorithm

intervals

Results

8.0ms	314×	body	80	valid
0.0ms	4×	body	1280	valid
0.0ms	4×	body	640	valid
0.0ms	3×	body	320	valid
0.0ms	2×	body	160	valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	18	4
1	34	3
2	52	3
3	60	3
4	60	3

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 0.0b

Counts

2 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* d1 (+ (+ 3.0 d2) d3))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `associate-r`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube` `distribute-lft-out`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

8.0ms

(* d1 (+ (+ 3.0 d2) d3))

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(* d1 (+ (+ 3.0 d2) d3))

simplify85.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	149	120
1	720	103
2	3972	103
3	5002	103

prune48.0ms

Filtered

27 candidates to 16 candidates (59.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	23	4	27
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	23	6	29

Merged error: 0.0b

Counts

29 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
0.0b	(+ (* d1 3.0) (* d1 d2))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
3×	`distribute-lft-out`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+`

Counts

2 → 26

Calls

2 calls:

6.0ms	(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
4.0ms	(+ (* d1 3.0) (* d1 d2))

series80.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
39.0ms	(+ (* d1 3.0) (* d1 d2))

simplify106.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	187	191
1	787	163
2	3595	151
3	5001	151

prune61.0ms

Filtered

32 candidates to 23 candidates (71.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	31	1	32
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	31	7	38

Merged error: 0.0b

Counts

38 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ 3.0 d2) (+ 3.0 d2))
2.9b	(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
7.3b	(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
14.8b	(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
13×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`add-cube-cbrt`
8×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `distribute-lft-out`
7×	`associate-l`
6×	`flip3-+` `times-frac` `associate-r/` `swap-sqr` `associate--l+` `associate-/r` `flip-+` `add-log-exp`
4×	`frac-times` `flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
3×	`sub-neg` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `associate-/r/` `-commutative` `associate-/l/` `unswap-sqr`
1×	`pow2` `frac-2neg` `pow-plus` `diff-log` `clear-num` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l*`

Counts

4 → 115

Calls

4 calls:

8.0ms	(* (+ 3.0 d2) (+ 3.0 d2))
8.0ms	(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
12.0ms	(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
17.0ms	(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

series238.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* (+ 3.0 d2) (+ 3.0 d2))
40.0ms	(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
83.0ms	(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
99.0ms	(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

simplify89.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	538	973
1	2736	846
2	5002	842

prune202.0ms

Filtered

127 candidates to 77 candidates (60.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	2	2	4
Picked	0	1	1
Done	0	2	2
Total	128	6	134

Merged error: 0b

Counts

134 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ 3.0 d2) (+ 3.0 d2))
0.3b	(/ d1 (/ (- (+ 3.0 d2) d3) (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))))
2.9b	(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
18.8b	(/ (- (+ 3.0 d2) d3) (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

214×	`*-un-lft-identity`
210×	`times-frac`
139×	`add-sqr-sqrt`
95×	`add-cube-cbrt`
53×	`difference-of-squares`
42×	`distribute-lft-out--`
34×	`associate-/r*`
27×	`distribute-lft-out`
13×	`add-exp-log` `add-cbrt-cube`
11×	`pow1` `associate-/r/`
9×	`associate-/l*`
7×	`flip3--` `flip--`
6×	`flip3-+` `swap-sqr` `flip-+` `div-inv` `add-log-exp`
4×	`cbrt-undiv` `frac-times` `div-exp` `associate-r` `associate-l`
2×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `associate-r/` `associate-l/` `associate--l+` `clear-num` `associate-/l/`
1×	`pow2` `sub-neg` `pow-plus` `diff-log` `div-sub` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `unswap-sqr`

Counts

4 → 244

Calls

4 calls:

8.0ms	(* (+ 3.0 d2) (+ 3.0 d2))
20.0ms	(/ d1 (/ (- (+ 3.0 d2) d3) (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))))
12.0ms	(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
15.0ms	(/ (- (+ 3.0 d2) d3) (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))

series231.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (+ 3.0 d2) (+ 3.0 d2))
100.0ms	(/ d1 (/ (- (+ 3.0 d2) d3) (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))))
36.0ms	(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
74.0ms	(/ (- (+ 3.0 d2) d3) (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))

simplify57.0ms

Algorithm

egg-herbie

Counts

256 → 256

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	882	3320
1	5001	3060

prune452.0ms

Filtered

256 candidates to 170 candidates (66.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	255	1	256
Fresh	1	1	2
Picked	1	0	1
Done	1	2	3
Total	258	4	262

Merged error: 0b

Counts

262 → 4

regimes78.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	5
1	14	5

end0.0ms

sample489.0ms

Algorithm

intervals

Results

245.0ms	9590×	body	80	valid
19.0ms	208×	body	640	valid
10.0ms	145×	body	320	valid
8.0ms	73×	body	1280	valid
4.0ms	88×	body	160	valid