Details

analyze286.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	57.7%	1.7%	9
45.2%	51.1%	3.7%	10
57.7%	33.5%	8.7%	11
59.7%	29.4%	10.9%	12
62%	25%	13%	13
68.3%	17.4%	14.4%	14

sample19.0ms

Algorithm

intervals

Results

7.0ms	243×	body	80	valid
1.0ms	32×	body	80	invalid
1.0ms	5×	body	640	valid
0.0ms	6×	body	320	valid
0.0ms	2×	body	1280	valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	42	7
1	42	7

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: 0.1b

Counts

2 → 2

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))

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))

series13.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify31.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5407	279

prune45.0ms

Filtered

22 candidates to 32 candidates (-45.5%)

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)))

simplify49.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5093	218

prune34.0ms

Filtered

16 candidates to 27 candidates (-68.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	25	2	27
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	26	5	31

Merged error: 0.0b

Counts

31 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ d2 d3) (+ d2 d3))
7.2b	(* d1 (- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3))))
15.6b	(/ (* d1 (- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3)))) (- 3.0 (+ d2 d3)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 94

Calls

3 calls:

10.0ms	(* (+ d2 d3) (+ d2 d3))
6.0ms	(* d1 (- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3))))
11.0ms	(/ (* d1 (- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3)))) (- 3.0 (+ d2 d3)))

series53.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(* (+ d2 d3) (+ d2 d3))
20.0ms	(* d1 (- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3))))
30.0ms	(/ (* d1 (- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3)))) (- 3.0 (+ d2 d3)))

simplify45.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5087	1160

prune110.0ms

Filtered

65 candidates to 103 candidates (-58.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	103	5	108

Merged error: 0b

Counts

108 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow (+ d2 d3) 2)
0.3b	(/ d1 (/ (- 3.0 (+ d2 d3)) (- (* 3.0 3.0) (pow (+ d2 d3) 2))))
19.7b	(/ (- 3.0 (+ d2 d3)) (- (* 3.0 3.0) (pow (+ d2 d3) 2)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

354×	`times-frac`
307×	`*-un-lft-identity`
259×	`add-sqr-sqrt`
160×	`difference-of-squares`
125×	`add-cube-cbrt`
72×	`distribute-lft-out--`
55×	`associate-/r*`
37×	`distribute-lft-out`
35×	`unpow-prod-down`
32×	`unpow2` `sqr-pow`
11×	`add-exp-log` `associate-/r/`
10×	`add-cbrt-cube`
9×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
4×	`pow1` `cbrt-undiv` `div-exp`
3×	`pow-unpow` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`pow-to-exp` `pow-pow` `div-sub` `pow-exp`

Counts

3 → 301

Calls

3 calls:

4.0ms	(pow (+ d2 d3) 2)
20.0ms	(/ d1 (/ (- 3.0 (+ d2 d3)) (- (* 3.0 3.0) (pow (+ d2 d3) 2))))
16.0ms	(/ (- 3.0 (+ d2 d3)) (- (* 3.0 3.0) (pow (+ d2 d3) 2)))

series51.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(pow (+ d2 d3) 2)
35.0ms	(/ d1 (/ (- 3.0 (+ d2 d3)) (- (* 3.0 3.0) (pow (+ d2 d3) 2))))
12.0ms	(/ (- 3.0 (+ d2 d3)) (- (* 3.0 3.0) (pow (+ d2 d3) 2)))

simplify74.0ms

Algorithm

egg-herbie

Counts

310 → 310

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5096	7001

prune390.0ms

Filtered

178 candidates to 310 candidates (-74.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	310	0	310
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	310	5	315

Merged error: 0b

Counts

315 → 5

regimes204.0ms

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	11
1	14	11

end0.0ms

analyze281.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	57.7%	1.7%	9
45.2%	51.1%	3.7%	10
57.7%	33.5%	8.7%	11
59.7%	29.4%	10.9%	12
62%	25%	13%	13
68.3%	17.4%	14.4%	14

sample479.0ms

Algorithm

intervals

Results

234.0ms	7483×	body	80	valid
23.0ms	192×	body	640	valid
20.0ms	674×	body	80	invalid
16.0ms	80×	body	1280	valid
14.0ms	167×	body	320	valid
4.0ms	78×	body	160	valid

Details

analyze286.0ms

sample19.0ms

simplify3.0ms

prune9.0ms

localize7.0ms

rewrite9.0ms

series13.0ms

simplify31.0ms

prune45.0ms

localize5.0ms

rewrite8.0ms

series7.0ms

simplify49.0ms

prune34.0ms

localize9.0ms

rewrite30.0ms

series53.0ms

simplify45.0ms

prune110.0ms

localize10.0ms

rewrite59.0ms

series51.0ms

simplify74.0ms

prune390.0ms

regimes204.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze281.0ms

sample479.0ms

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