Details

sample46.0ms

Algorithm

intervals

Results

28.0ms

468×

body

valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	4
1	25	4
2	27	4
3	27	4

prune7.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

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-+r+` `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:

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

series73.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(* x (+ 2.0 x))
29.0ms	(+ (* y y) (* x (+ 2.0 x)))

simplify34.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	206	183
1	1038	169
2	5001	169

prune52.0ms

Filtered

42 candidates to 27 candidates (64.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	2	43

Merged error: 0.0b

Counts

43 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* y y) (* x (+ 2.0 x)))) (cbrt (+ (* y y) (* x (+ 2.0 x)))))
0.6b	(cbrt (+ (* y y) (* x (+ 2.0 x))))
0.6b	(cbrt (+ (* y y) (* x (+ 2.0 x))))
0.6b	(cbrt (+ (* y y) (* x (+ 2.0 x))))

rewrite22.0ms

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:

10.0ms	(* (cbrt (+ (* y y) (* x (+ 2.0 x)))) (cbrt (+ (* y y) (* x (+ 2.0 x)))))
3.0ms	(cbrt (+ (* y y) (* x (+ 2.0 x))))
3.0ms	(cbrt (+ (* y y) (* x (+ 2.0 x))))
3.0ms	(cbrt (+ (* y y) (* x (+ 2.0 x))))

series423.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(* (cbrt (+ (* y y) (* x (+ 2.0 x)))) (cbrt (+ (* y y) (* x (+ 2.0 x)))))
97.0ms	(cbrt (+ (* y y) (* x (+ 2.0 x))))
98.0ms	(cbrt (+ (* y y) (* x (+ 2.0 x))))
98.0ms	(cbrt (+ (* y y) (* x (+ 2.0 x))))

simplify126.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (114.0ms)

Iter	Nodes	Cost
0	263	1232
1	964	1153
2	4410	1071
3	5001	1064

prune202.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	98	3	101

Merged error: 0b

Counts

101 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (sqrt (+ (* y y) (* x (+ 2.0 x)))))
0.5b	(cbrt (sqrt (+ (* y y) (* x (+ 2.0 x)))))
0.6b	(cbrt (+ (* y y) (* x (+ 2.0 x))))
0.6b	(cbrt (+ (* y y) (* x (+ 2.0 x))))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`cbrt-div`
6×	`sqrt-prod`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `sqrt-div` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 58

Calls

4 calls:

4.0ms	(cbrt (sqrt (+ (* y y) (* x (+ 2.0 x)))))
4.0ms	(cbrt (sqrt (+ (* y y) (* x (+ 2.0 x)))))
3.0ms	(cbrt (+ (* y y) (* x (+ 2.0 x))))
3.0ms	(cbrt (+ (* y y) (* x (+ 2.0 x))))

series387.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(cbrt (sqrt (+ (* y y) (* x (+ 2.0 x)))))
95.0ms	(cbrt (sqrt (+ (* y y) (* x (+ 2.0 x)))))
97.0ms	(cbrt (+ (* y y) (* x (+ 2.0 x))))
99.0ms	(cbrt (+ (* y y) (* x (+ 2.0 x))))

simplify72.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (63.0ms)

Iter	Nodes	Cost
0	227	764
1	663	706
2	2335	694
3	5001	692

prune209.0ms

Filtered

70 candidates to 62 candidates (88.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	70	3	73

Merged error: 0b

Counts

73 → 3

regimes43.0ms

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	4
1	10	4

end0.0ms

sample638.0ms

Algorithm

intervals

Results

421.0ms

14328×

body

valid

Details

sample46.0ms

simplify11.0ms

prune7.0ms

localize7.0ms

rewrite10.0ms

series73.0ms

simplify34.0ms

prune52.0ms

localize9.0ms

rewrite22.0ms

series423.0ms

simplify126.0ms

prune202.0ms

localize16.0ms

rewrite16.0ms

series387.0ms

simplify72.0ms

prune209.0ms

regimes43.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample638.0ms

Profiling