Details

analyze91.0ms

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
25%	62.4%	12.6%	6
25%	40.6%	34.4%	7
31.2%	25%	43.8%	8
39%	17.2%	43.8%	9
42.9%	13.3%	43.8%	10
47.2%	9%	43.8%	11
49.4%	6.8%	43.8%	12
51.6%	4.6%	43.8%	13
52.7%	3.5%	43.8%	14

sample14.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	23	9
1	23	9

prune10.0ms

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

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 2.0) (* x x))
0.0b	(+ (+ (* x 2.0) (* x x)) (* y y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+` `distribute-lft-out`

Counts

2 → 25

Calls

2 calls:

4.0ms	(+ (* x 2.0) (* x x))
6.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))

series12.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(+ (* x 2.0) (* x x))
7.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))

simplify41.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5263	302

prune38.0ms

Filtered

22 candidates to 31 candidates (-40.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	31	2	33

Merged error: 0b

Counts

33 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ x 2.0))
0.0b	(+ (* x (+ x 2.0)) (* y y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

5.0ms	(* x (+ x 2.0))
6.0ms	(+ (* x (+ x 2.0)) (* y y))

series10.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(* x (+ x 2.0))
6.0ms	(+ (* x (+ x 2.0)) (* y y))

simplify39.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4972	350
1	4972	350

prune38.0ms

Filtered

26 candidates to 42 candidates (-61.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	42	0	42
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	42	2	44

Merged error: 0b

Counts

44 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (* x (* (+ x 2.0) (+ x 2.0))))
0.1b	(* x (* (+ x 2.0) (+ x 2.0)))
1.8b	(- (* x (* x (* (+ x 2.0) (+ x 2.0)))) (pow y 4))
23.9b	(/ (- (* x (* x (* (+ x 2.0) (+ x 2.0)))) (pow y 4)) (- (* x (+ x 2.0)) (* y y)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

28×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
20×	`add-exp-log` `add-cbrt-cube`
18×	`pow1`
15×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
12×	`flip3-+` `flip-+`
9×	`times-frac` `pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`frac-times` `associate--l+`
6×	`associate-l` `add-log-exp`
4×	`associate-*l/`
3×	`flip3--` `associate-/r` `flip--` `associate-/l`
2×	`associate-r` `associate-/r/` `*-commutative` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv` `unswap-sqr`

Counts

4 → 119

Calls

4 calls:

13.0ms	(* x (* x (* (+ x 2.0) (+ x 2.0))))
10.0ms	(* x (* (+ x 2.0) (+ x 2.0)))
14.0ms	(- (* x (* x (* (+ x 2.0) (+ x 2.0)))) (pow y 4))
22.0ms	(/ (- (* x (* x (* (+ x 2.0) (+ x 2.0)))) (pow y 4)) (- (* x (+ x 2.0)) (* y y)))

series35.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* x (* x (* (+ x 2.0) (+ x 2.0))))
3.0ms	(* x (* (+ x 2.0) (+ x 2.0)))
12.0ms	(- (* x (* x (* (+ x 2.0) (+ x 2.0)))) (pow y 4))
16.0ms	(/ (- (* x (* x (* (+ x 2.0) (+ x 2.0)))) (pow y 4)) (- (* x (+ x 2.0)) (* y y)))

simplify61.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4957	2168
1	4957	2168

prune186.0ms

Filtered

87 candidates to 131 candidates (-50.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	131	2	133

Merged error: 0b

Counts

133 → 2

regimes90.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	9
1	10	9

end0.0ms

sample351.0ms

Algorithm

intervals

Results

235.0ms	8000×	body	80	valid
0.0ms	3×	body	80	invalid

Details

analyze91.0ms

sample14.0ms

simplify3.0ms

prune10.0ms

localize6.0ms

rewrite10.0ms

series12.0ms

simplify41.0ms

prune38.0ms

localize5.0ms

rewrite12.0ms

series10.0ms

simplify39.0ms

prune38.0ms

localize12.0ms

rewrite65.0ms

series35.0ms

simplify61.0ms

prune186.0ms

regimes90.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample351.0ms

Profiling