Details

sample40.0ms

Algorithm

intervals

Results

18.0ms	302×	body	80	valid
2.0ms	9×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

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

prune9.0ms

Filtered

1 candidates to 1 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: 0.0b

Counts

2 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

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:

5.0ms	(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
3.0ms	(+ (* d1 3.0) (* d1 d2))

series12.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
5.0ms	(+ (* d1 3.0) (* d1 d2))

simplify102.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 2 (23.0ms)

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

prune46.0ms

Filtered

23 candidates to 32 candidates (-39.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	30	2	32
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	30	4	34

Merged error: 0.0b

Counts

34 → 4

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

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:

7.0ms

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

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

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

simplify81.0ms

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

prune34.0ms

Filtered

16 candidates to 27 candidates (-68.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	26	1	27
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	27	4	31

Merged error: 0.0b

Counts

31 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ 3.0 d2) (+ 3.0 d2))
1.8b	(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
7.0b	(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
15.9b	(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

rewrite47.0ms

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))
11.0ms	(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
16.0ms	(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

series51.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(* (+ 3.0 d2) (+ 3.0 d2))
6.0ms	(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
18.0ms	(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
25.0ms	(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

simplify82.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (71.0ms)

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

prune129.0ms

Filtered

77 candidates to 127 candidates (-64.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

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

Merged error: 0.0b

Counts

131 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* d1 (- 3.0 d2))
0.0b	(+ (/ (* (* d1 d1) (- (* 3.0 3.0) (* d2 d2))) (* d1 (- 3.0 d2))) (* d1 d3))
7.6b	(* (* d1 d1) (- (* 3.0 3.0) (* d2 d2)))
30.6b	(/ (* (* d1 d1) (- (* 3.0 3.0) (* d2 d2))) (* d1 (- 3.0 d2)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

6.0ms	(* d1 (- 3.0 d2))
12.0ms	(+ (/ (* (* d1 d1) (- (* 3.0 3.0) (* d2 d2))) (* d1 (- 3.0 d2))) (* d1 d3))
7.0ms	(* (* d1 d1) (- (* 3.0 3.0) (* d2 d2)))
12.0ms	(/ (* (* d1 d1) (- (* 3.0 3.0) (* d2 d2))) (* d1 (- 3.0 d2)))

series51.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* d1 (- 3.0 d2))
19.0ms	(+ (/ (* (* d1 d1) (- (* 3.0 3.0) (* d2 d2))) (* d1 (- 3.0 d2))) (* d1 d3))
10.0ms	(* (* d1 d1) (- (* 3.0 3.0) (* d2 d2)))
17.0ms	(/ (* (* d1 d1) (- (* 3.0 3.0) (* d2 d2))) (* d1 (- 3.0 d2)))

simplify105.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (95.0ms)

Iter	Nodes	Cost
0	540	891
1	3284	690
2	5002	667

prune99.0ms

Filtered

65 candidates to 104 candidates (-60.0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	104	4	108

Merged error: 0.0b

Counts

108 → 4

regimes203.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	5
1	14	5

end0.0ms

sample655.0ms

Algorithm

intervals

Results

314.0ms	9520×	body	80	valid
24.0ms	218×	body	640	valid
15.0ms	151×	body	320	valid
14.0ms	101×	body	1280	valid
4.0ms	77×	body	160	valid

Details

sample40.0ms

simplify8.0ms

prune9.0ms

localize8.0ms

rewrite9.0ms

series12.0ms

simplify102.0ms

prune46.0ms

localize5.0ms

rewrite8.0ms

series7.0ms

simplify81.0ms

prune34.0ms

localize9.0ms

rewrite47.0ms

series51.0ms

simplify82.0ms

prune129.0ms

localize14.0ms

rewrite40.0ms

series51.0ms

simplify105.0ms

prune99.0ms

regimes203.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample655.0ms

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