Details

sample20.0ms

Algorithm

intervals

Results

8.0ms	317×	body	80	valid
1.0ms	6×	body	640	valid
0.0ms	6×	body	320	valid
0.0ms	3×	body	160	valid
0.0ms	1×	body	1280	valid

simplify9.0ms

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))

series29.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

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

simplify86.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 1 (6.0ms)

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

prune47.0ms

Filtered

27 candidates to 16 candidates (59.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	24	3	27
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	25	4	29

Merged error: 0.0b

Counts

29 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ 3.0 d2) (+ 3.0 d2))
2.7b	(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
8.0b	(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
16.9b	(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

rewrite54.0ms

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

series239.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (+ 3.0 d2) (+ 3.0 d2))
36.0ms	(- (* (+ 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))

simplify86.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (74.0ms)

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

prune200.0ms

Filtered

127 candidates to 77 candidates (60.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	127	4	131

Merged error: 0b

Counts

131 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ 3.0 d2) (+ 3.0 d2))
0.2b	(/ d1 (/ (- (+ 3.0 d2) d3) (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))))
2.7b	(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
19.9b	(/ (- (+ 3.0 d2) d3) (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))

rewrite69.0ms

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))
19.0ms	(/ d1 (/ (- (+ 3.0 d2) d3) (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))))
8.0ms	(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
16.0ms	(/ (- (+ 3.0 d2) d3) (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))

series217.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* (+ 3.0 d2) (+ 3.0 d2))
96.0ms	(/ d1 (/ (- (+ 3.0 d2) d3) (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))))
40.0ms	(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
66.0ms	(/ (- (+ 3.0 d2) d3) (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))

simplify62.0ms

Algorithm

egg-herbie

Counts

256 → 256

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	882	3320
1	5001	3060

prune449.0ms

Filtered

256 candidates to 170 candidates (66.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	256	0	256
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	256	4	260

Merged error: 0b

Counts

260 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* d1 (+ (+ 3.0 d2) d3))
0.3b	(pow (* d1 (+ (+ 3.0 d2) d3)) 3)
35.8b	(cbrt (pow (* d1 (+ (+ 3.0 d2) d3)) 3))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
9×	`add-sqr-sqrt`
8×	`pow1` `add-exp-log` `cbrt-prod` `add-cbrt-cube`
7×	`add-cube-cbrt`
6×	`associate-*r/`
5×	`associate-r`
4×	`cube-div`
3×	`pow-unpow` `flip3-+` `associate-l` `flip-+` `distribute-lft-out` `add-log-exp`
2×	`cube-mult` `unpow-prod-down` `cbrt-div` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `pow1/3` `*-commutative` `rem-cbrt-cube` `unswap-sqr`

Counts

3 → 67

Calls

3 calls:

8.0ms	(* d1 (+ (+ 3.0 d2) d3))
12.0ms	(pow (* d1 (+ (+ 3.0 d2) d3)) 3)
3.0ms	(cbrt (pow (* d1 (+ (+ 3.0 d2) d3)) 3))

series145.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(* d1 (+ (+ 3.0 d2) d3))
68.0ms	(pow (* d1 (+ (+ 3.0 d2) d3)) 3)
49.0ms	(cbrt (pow (* d1 (+ (+ 3.0 d2) d3)) 3))

simplify55.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	336	408
1	1731	379
2	5001	378

prune127.0ms

Filtered

76 candidates to 48 candidates (63.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	76	4	80

Merged error: 0b

Counts

80 → 4

regimes57.0ms

Accuracy

0% (0.0b 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	10	3
1	10	3

end0.0ms

sample512.0ms

Algorithm

intervals

Results

260.0ms	9549×	body	80	valid
21.0ms	199×	body	640	valid
13.0ms	176×	body	320	valid
10.0ms	84×	body	1280	valid
4.0ms	83×	body	160	valid