Details

analyze55.0ms

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
25%	74.9%	0.1%	5
37.5%	50%	12.6%	6
50%	37.5%	12.6%	7
56.2%	25%	18.8%	8
62.4%	18.7%	18.8%	9
65.6%	12.5%	22%	10
68.7%	9.4%	22%	11
70.2%	6.2%	23.5%	12
71.8%	4.7%	23.5%	13
72.6%	3.1%	24.3%	14

sample16.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	2×	body	80	invalid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	228	7
1	228	7

prune2.0ms

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 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b	(* x (- 1.0 (* x y)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`sub-neg` `associate-*r/`
1×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 22

Calls

1 calls:

5.0ms

(* x (- 1.0 (* x y)))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(* x (- 1.0 (* x y)))

simplify42.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4987	218
1	4987	218

prune49.0ms

Filtered

16 candidates to 25 candidates (-56.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	18	7	25
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	19	7	26

Merged error: 0.0b

Counts

26 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* x (* x (neg y))))
0.2b	(* x (* x (neg y)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`distribute-rgt-neg-out` `add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-r` `unsub-neg` `sum-log` `*-commutative` `flip-+` `distribute-lft-out`

Counts

2 → 32

Calls

2 calls:

4.0ms	(+ (* x 1.0) (* x (* x (neg y))))
5.0ms	(* x (* x (neg y)))

series10.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(+ (* x 1.0) (* x (* x (neg y))))
4.0ms	(* x (* x (neg y)))

simplify56.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4867	297
1	4867	297

prune48.0ms

Filtered

22 candidates to 38 candidates (-72.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	37	1	38
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	38	7	45

Merged error: 0.0b

Counts

45 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- 1.0 (* x y)))
0.2b	(cbrt (- 1.0 (* x y)))
0.2b	(cbrt (- 1.0 (* x y)))
0.2b	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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 → 87

Calls

4 calls:

2.0ms	(cbrt (- 1.0 (* x y)))
2.0ms	(cbrt (- 1.0 (* x y)))
2.0ms	(cbrt (- 1.0 (* x y)))
9.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

series166.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(cbrt (- 1.0 (* x y)))
40.0ms	(cbrt (- 1.0 (* x y)))
38.0ms	(cbrt (- 1.0 (* x y)))
51.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

simplify42.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4990	1370
1	4990	1370

prune217.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	99	7	106

Merged error: 0.0b

Counts

106 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (+ 1.0 (* x y)))
0.2b	(/ (cbrt (- (* 1.0 1.0) (pow (* x y) 2))) (cbrt (+ 1.0 (* x y))))
0.3b	(pow (* x y) 2)
5.2b	(cbrt (- (* 1.0 1.0) (pow (* x y) 2)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

81×	`cbrt-prod`
54×	`times-frac`
49×	`add-sqr-sqrt`
41×	`add-cube-cbrt` `*-un-lft-identity`
24×	`difference-of-squares`
9×	`add-exp-log` `associate-/l*` `unpow2` `sqr-pow`
8×	`cbrt-div`
7×	`pow1`
6×	`associate-/r*`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-unpow`
2×	`flip3--` `pow-pow` `flip3-+` `pow1/3` `pow-exp` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `pow-to-exp` `unpow-prod-down` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `div-inv`

Counts

4 → 132

Calls

4 calls:

2.0ms	(cbrt (+ 1.0 (* x y)))
14.0ms	(/ (cbrt (- (* 1.0 1.0) (pow (* x y) 2))) (cbrt (+ 1.0 (* x y))))
4.0ms	(pow (* x y) 2)
5.0ms	(cbrt (- (* 1.0 1.0) (pow (* x y) 2)))

series110.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(cbrt (+ 1.0 (* x y)))
45.0ms	(/ (cbrt (- (* 1.0 1.0) (pow (* x y) 2))) (cbrt (+ 1.0 (* x y))))
4.0ms	(pow (* x y) 2)
23.0ms	(cbrt (- (* 1.0 1.0) (pow (* x y) 2)))

simplify55.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5162	3109

prune440.0ms

Filtered

119 candidates to 144 candidates (-21.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	143	1	144
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	143	8	151

Merged error: 0b

Counts

151 → 8

regimes118.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	46	9
1	46	9

end0.0ms

sample317.0ms

Algorithm

intervals

Results

185.0ms	8000×	body	80	valid
2.0ms	85×	body	80	invalid

Details

analyze55.0ms

sample16.0ms

simplify10.0ms

prune2.0ms

localize4.0ms

rewrite6.0ms

series6.0ms

simplify42.0ms

prune49.0ms

localize7.0ms

rewrite10.0ms

series10.0ms

simplify56.0ms

prune48.0ms

localize8.0ms

rewrite18.0ms

series166.0ms

simplify42.0ms

prune217.0ms

localize17.0ms

rewrite30.0ms

series110.0ms

simplify55.0ms

prune440.0ms

regimes118.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample317.0ms

Profiling