Details

sample23.0ms

Algorithm

intervals

Results

11.0ms	303×	body	80	valid
1.0ms	6×	body	640	valid
0.0ms	4×	body	320	valid
0.0ms	2×	body	1280	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

prune4.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

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:

29.0ms

(* 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

prune42.0ms

Filtered

27 candidates to 16 candidates (59.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	25	2	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	3	28

Merged error: 0b

Counts

28 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (+ 3.0 d2) d3))
0.0b	(sqrt (+ (+ 3.0 d2) d3))
0.2b	(* d1 (sqrt (+ (+ 3.0 d2) d3)))
0.2b	(* (* d1 (sqrt (+ (+ 3.0 d2) d3))) (sqrt (+ (+ 3.0 d2) d3)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
21×	`sqrt-prod`
18×	`sqrt-div`
17×	`add-sqr-sqrt`
16×	`associate-r`
13×	`pow1`
12×	`distribute-lft-out`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-*r/`
9×	`flip3-+` `flip-+`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

5.0ms	(sqrt (+ (+ 3.0 d2) d3))
5.0ms	(sqrt (+ (+ 3.0 d2) d3))
9.0ms	(* d1 (sqrt (+ (+ 3.0 d2) d3)))
16.0ms	(* (* d1 (sqrt (+ (+ 3.0 d2) d3))) (sqrt (+ (+ 3.0 d2) d3)))

series225.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(sqrt (+ (+ 3.0 d2) d3))
50.0ms	(sqrt (+ (+ 3.0 d2) d3))
86.0ms	(* d1 (sqrt (+ (+ 3.0 d2) d3)))
32.0ms	(* (* d1 (sqrt (+ (+ 3.0 d2) d3))) (sqrt (+ (+ 3.0 d2) d3)))

simplify47.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	356	743
1	1536	663
2	5002	645

prune184.0ms

Filtered

103 candidates to 66 candidates (64.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	103	3	106

Merged error: 0b

Counts

106 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

1.4b	(+ (* d3 (- d3 (+ 3.0 d2))) (* (+ 3.0 d2) (+ 3.0 d2)))
3.6b	(* (+ (pow (+ 3.0 d2) 3) (pow d3 3)) d1)
3.6b	(+ (pow (+ 3.0 d2) 3) (pow d3 3))
30.8b	(/ (* (+ (pow (+ 3.0 d2) 3) (pow d3 3)) d1) (+ (* d3 (- d3 (+ 3.0 d2))) (* (+ 3.0 d2) (+ 3.0 d2))))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

52×	`*-un-lft-identity`
40×	`associate-*r/`
32×	`frac-add`
29×	`flip3-+` `flip-+`
26×	`distribute-lft-out`
18×	`associate-/r/`
16×	`frac-times` `unpow-prod-down` `flip3--` `cube-prod` `flip--`
13×	`associate-l`
12×	`associate-*l/`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `add-log-exp`
6×	`pow1`
4×	`associate-+l+`
3×	`distribute-rgt-in` `distribute-lft-in` `times-frac` `associate-r` `associate-/r*`
2×	`cbrt-undiv` `+-commutative` `sub-neg` `associate-+r+` `div-exp` `prod-exp` `sum-log` `sum-cubes` `cbrt-unprod` `associate-/l/`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 125

Calls

4 calls:

11.0ms	(+ (* d3 (- d3 (+ 3.0 d2))) (* (+ 3.0 d2) (+ 3.0 d2)))
19.0ms	(* (+ (pow (+ 3.0 d2) 3) (pow d3 3)) d1)
18.0ms	(+ (pow (+ 3.0 d2) 3) (pow d3 3))
27.0ms	(/ (* (+ (pow (+ 3.0 d2) 3) (pow d3 3)) d1) (+ (* d3 (- d3 (+ 3.0 d2))) (* (+ 3.0 d2) (+ 3.0 d2))))

series318.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ (* d3 (- d3 (+ 3.0 d2))) (* (+ 3.0 d2) (+ 3.0 d2)))
92.0ms	(* (+ (pow (+ 3.0 d2) 3) (pow d3 3)) d1)
64.0ms	(+ (pow (+ 3.0 d2) 3) (pow d3 3))
122.0ms	(/ (* (+ (pow (+ 3.0 d2) 3) (pow d3 3)) d1) (+ (* d3 (- d3 (+ 3.0 d2))) (* (+ 3.0 d2) (+ 3.0 d2))))

simplify109.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	794	2063
1	4191	1909
2	5001	1909

prune338.0ms

Filtered

137 candidates to 92 candidates (67.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	137	3	140

Merged error: 0b

Counts

140 → 3

regimes48.0ms

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

sample554.0ms

Algorithm

intervals

Results

291.0ms	9586×	body	80	valid
22.0ms	205×	body	640	valid
13.0ms	160×	body	320	valid
12.0ms	92×	body	1280	valid
4.0ms	75×	body	160	valid

Details

sample23.0ms

simplify8.0ms

prune4.0ms

localize5.0ms

rewrite9.0ms

series29.0ms

simplify85.0ms

prune42.0ms

localize7.0ms

rewrite39.0ms

series225.0ms

simplify47.0ms

prune184.0ms

localize15.0ms

rewrite82.0ms

series318.0ms

simplify109.0ms

prune338.0ms

regimes48.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample554.0ms

Profiling