Details

analyze280.0ms

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

sample17.0ms

Algorithm

intervals

Results

7.0ms	243×	body	80	valid
1.0ms	21×	body	80	invalid
0.0ms	4×	body	640	valid
0.0ms	6×	body	160	valid
0.0ms	2×	body	320	valid
0.0ms	1×	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: 0.0b

Counts

2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

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

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:

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

series15.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+ (* d1 3.0) (* d1 d2))
8.0ms	(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))

simplify31.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5407	279

prune41.0ms

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)))

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:

9.0ms

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

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

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

simplify46.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5093	218

prune34.0ms

Filtered

15 candidates to 27 candidates (-80.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	24	3	27
Fresh	2	0	2
Picked	0	1	1
Done	0	1	1
Total	26	5	31

Merged error: 0b

Counts

31 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ 3.0 (+ d2 d3)))
0.3b	(cbrt (+ 3.0 (+ d2 d3)))
0.3b	(cbrt (+ 3.0 (+ d2 d3)))
0.4b	(* (cbrt (+ 3.0 (+ d2 d3))) (cbrt (+ 3.0 (+ d2 d3))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
51×	`cbrt-prod`
33×	`distribute-lft-out`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
14×	`swap-sqr`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 105

Calls

4 calls:

5.0ms	(cbrt (+ 3.0 (+ d2 d3)))
4.0ms	(cbrt (+ 3.0 (+ d2 d3)))
5.0ms	(cbrt (+ 3.0 (+ d2 d3)))
15.0ms	(* (cbrt (+ 3.0 (+ d2 d3))) (cbrt (+ 3.0 (+ d2 d3))))

series72.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(cbrt (+ 3.0 (+ d2 d3)))
16.0ms	(cbrt (+ 3.0 (+ d2 d3)))
16.0ms	(cbrt (+ 3.0 (+ d2 d3)))
20.0ms	(* (cbrt (+ 3.0 (+ d2 d3))) (cbrt (+ 3.0 (+ d2 d3))))

simplify47.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5699	1434

prune179.0ms

Filtered

77 candidates to 117 candidates (-51.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	117	5	122

Merged error: 0b

Counts

122 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 3.0 (+ d2 d3))
0.0b	(* (+ d2 d3) (+ d2 d3))
6.9b	(* d1 (- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3))))
16.4b	(/ (* d1 (- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3)))) (- 3.0 (+ d2 d3)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 110

Calls

4 calls:

5.0ms	(- 3.0 (+ d2 d3))
8.0ms	(* (+ d2 d3) (+ d2 d3))
6.0ms	(* d1 (- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3))))
10.0ms	(/ (* d1 (- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3)))) (- 3.0 (+ d2 d3)))

series58.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(- 3.0 (+ d2 d3))
4.0ms	(* (+ d2 d3) (+ d2 d3))
20.0ms	(* d1 (- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3))))
31.0ms	(/ (* d1 (- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3)))) (- 3.0 (+ d2 d3)))

simplify48.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5025	1360

prune121.0ms

Filtered

78 candidates to 122 candidates (-56.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	122	5	127

Merged error: 0b

Counts

127 → 5

regimes197.0ms

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

analyze277.0ms

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

sample463.0ms

Algorithm

intervals

Results

233.0ms	7503×	body	80	valid
21.0ms	202×	body	640	valid
20.0ms	671×	body	80	invalid
11.0ms	84×	body	1280	valid
10.0ms	127×	body	320	valid
5.0ms	84×	body	160	valid

Details

analyze280.0ms

sample17.0ms

simplify3.0ms

prune9.0ms

localize7.0ms

rewrite9.0ms

series15.0ms

simplify31.0ms

prune41.0ms

localize5.0ms

rewrite9.0ms

series7.0ms

simplify46.0ms

prune34.0ms

localize9.0ms

rewrite33.0ms

series72.0ms

simplify47.0ms

prune179.0ms

localize9.0ms

rewrite32.0ms

series58.0ms

simplify48.0ms

prune121.0ms

regimes197.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze277.0ms

sample463.0ms

Profiling