Details

sample21.0ms

Algorithm

intervals

Results

9.0ms	295×	body	80	valid
1.0ms	12×	body	640	valid
1.0ms	4×	body	1280	valid
0.0ms	4×	body	320	valid
0.0ms	1×	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: 0.1b

Counts

2 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite15.0ms

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:

14.0ms

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

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

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

simplify86.0ms

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

prune45.0ms

Filtered

27 candidates to 16 candidates (59.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	24	3	27
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	24	5	29

Merged error: 0.0b

Counts

29 → 5

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))

series79.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
40.0ms	(+ (* d1 3.0) (* d1 d2))

simplify108.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 2 (26.0ms)

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

prune58.0ms

Filtered

32 candidates to 23 candidates (71.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	31	1	32
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	32	5	37

Merged error: 0b

Counts

37 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (+ (+ 3.0 d2) d3))
0.4b	(cbrt (+ (+ 3.0 d2) d3))
0.4b	(* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))
0.4b	(* (* d1 (* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))) (cbrt (+ (+ 3.0 d2) d3)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

75×	`*-un-lft-identity`
70×	`cbrt-div`
51×	`cbrt-prod`
35×	`flip3-+` `flip-+`
34×	`associate-*r/`
33×	`distribute-lft-out`
32×	`frac-times`
24×	`add-sqr-sqrt`
20×	`pow1`
16×	`add-cube-cbrt` `associate-r` `associate-*l/`
15×	`add-exp-log`
14×	`swap-sqr`
9×	`associate-l`
8×	`pow1/3` `pow-prod-down` `add-cbrt-cube`
7×	`prod-exp` `cbrt-unprod`
4×	`add-log-exp` `unswap-sqr`
2×	`pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 142

Calls

4 calls:

9.0ms	(cbrt (+ (+ 3.0 d2) d3))
5.0ms	(cbrt (+ (+ 3.0 d2) d3))
15.0ms	(* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))
24.0ms	(* (* d1 (* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))) (cbrt (+ (+ 3.0 d2) d3)))

series325.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(cbrt (+ (+ 3.0 d2) d3))
98.0ms	(cbrt (+ (+ 3.0 d2) d3))
95.0ms	(* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))
29.0ms	(* (* d1 (* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))) (cbrt (+ (+ 3.0 d2) d3)))

simplify80.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	588	1998
1	2273	1812
2	5003	1669

prune261.0ms

Filtered

154 candidates to 85 candidates (55.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	154	5	159

Merged error: 0b

Counts

159 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* d1 (+ (+ 3.0 d2) d3))) (cbrt (* d1 (+ (+ 3.0 d2) d3))))
0.5b	(cbrt (* d1 (+ (+ 3.0 d2) d3)))
0.5b	(cbrt (* d1 (+ (+ 3.0 d2) d3)))
0.5b	(cbrt (* d1 (+ (+ 3.0 d2) d3)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
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×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

7.0ms	(* (cbrt (* d1 (+ (+ 3.0 d2) d3))) (cbrt (* d1 (+ (+ 3.0 d2) d3))))
7.0ms	(cbrt (* d1 (+ (+ 3.0 d2) d3)))
6.0ms	(cbrt (* d1 (+ (+ 3.0 d2) d3)))
6.0ms	(cbrt (* d1 (+ (+ 3.0 d2) d3)))

series744.0ms

Counts

4 → 12

Calls

4 calls:

209.0ms	(* (cbrt (* d1 (+ (+ 3.0 d2) d3))) (cbrt (* d1 (+ (+ 3.0 d2) d3))))
177.0ms	(cbrt (* d1 (+ (+ 3.0 d2) d3)))
180.0ms	(cbrt (* d1 (+ (+ 3.0 d2) d3)))
177.0ms	(cbrt (* d1 (+ (+ 3.0 d2) d3)))

simplify46.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	402	1012
1	1343	934
2	5001	861

prune219.0ms

Filtered

84 candidates to 67 candidates (79.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	84	5	89

Merged error: 0b

Counts

89 → 5

regimes66.0ms

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

sample551.0ms

Algorithm

intervals

Results

295.0ms	9547×	body	80	valid
22.0ms	205×	body	640	valid
13.0ms	99×	body	1280	valid
13.0ms	160×	body	320	valid
5.0ms	87×	body	160	valid