Details

analyze298.0ms

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	232×	body	80	valid
1.0ms	10×	body	640	valid
1.0ms	26×	body	80	invalid
1.0ms	11×	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

prune11.0ms

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

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:

8.0ms

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

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

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

simplify40.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5254	218

prune39.0ms

Filtered

16 candidates to 27 candidates (-68.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	25	2	27
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	25	4	29

Merged error: 0b

Counts

29 → 4

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))

series13.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
5.0ms	(+ (* d1 3.0) (* d1 d2))

simplify33.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5072	283

prune40.0ms

Filtered

22 candidates to 32 candidates (-45.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	32	4	36

Merged error: 0b

Counts

36 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ d2 d3) (+ d2 d3))
0.0b	(- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3)))
9.3b	(* d1 (- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3))))
14.7b	(/ (* d1 (- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3)))) (- 3.0 (+ d2 d3)))

rewrite31.0ms

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

Counts

4 → 108

Calls

4 calls:

8.0ms	(* (+ d2 d3) (+ d2 d3))
4.0ms	(- (* 3.0 3.0) (* (+ 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)))

series63.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (+ d2 d3) (+ d2 d3))
7.0ms	(- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3)))
22.0ms	(* d1 (- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3))))
30.0ms	(/ (* d1 (- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3)))) (- 3.0 (+ d2 d3)))

simplify48.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4990	1357
1	4990	1357

prune132.0ms

Filtered

80 candidates to 120 candidates (-50.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	120	4	124

Merged error: 0b

Counts

124 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 3.0 (+ d2 d3))
0.0b	(- (* (+ d2 d3) (+ d2 d3)) (* 3.0 (+ d2 d3)))
3.3b	(* d1 (+ (pow 3.0 3) (pow (+ d2 d3) 3)))
27.4b	(/ (* d1 (+ (pow 3.0 3) (pow (+ d2 d3) 3))) (+ (* 3.0 3.0) (- (* (+ d2 d3) (+ d2 d3)) (* 3.0 (+ d2 d3)))))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 116

Calls

4 calls:

6.0ms	(* 3.0 (+ d2 d3))
10.0ms	(- (* (+ d2 d3) (+ d2 d3)) (* 3.0 (+ d2 d3)))
16.0ms	(* d1 (+ (pow 3.0 3) (pow (+ d2 d3) 3)))
23.0ms	(/ (* d1 (+ (pow 3.0 3) (pow (+ d2 d3) 3))) (+ (* 3.0 3.0) (- (* (+ d2 d3) (+ d2 d3)) (* 3.0 (+ d2 d3)))))

series137.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* 3.0 (+ d2 d3))
9.0ms	(- (* (+ d2 d3) (+ d2 d3)) (* 3.0 (+ d2 d3)))
43.0ms	(* d1 (+ (pow 3.0 3) (pow (+ d2 d3) 3)))
80.0ms	(/ (* d1 (+ (pow 3.0 3) (pow (+ d2 d3) 3))) (+ (* 3.0 3.0) (- (* (+ d2 d3) (+ d2 d3)) (* 3.0 (+ d2 d3)))))

simplify55.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4969	2284
1	4969	2284

prune191.0ms

Filtered

85 candidates to 128 candidates (-50.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	128	4	132

Merged error: 0b

Counts

132 → 4

regimes190.0ms

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	7
1	10	7

end0.0ms

sample483.0ms

Algorithm

intervals

Results

235.0ms	7497×	body	80	valid
22.0ms	186×	body	640	valid
20.0ms	661×	body	80	invalid
14.0ms	84×	body	1280	valid
11.0ms	136×	body	320	valid
6.0ms	97×	body	160	valid

Details

analyze298.0ms

sample19.0ms

simplify3.0ms

prune11.0ms

localize5.0ms

rewrite8.0ms

series7.0ms

simplify40.0ms

prune39.0ms

localize7.0ms

rewrite10.0ms

series13.0ms

simplify33.0ms

prune40.0ms

localize9.0ms

rewrite31.0ms

series63.0ms

simplify48.0ms

prune132.0ms

localize18.0ms

rewrite60.0ms

series137.0ms

simplify55.0ms

prune191.0ms

regimes190.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample483.0ms

Profiling