Details

analyze266.0ms

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
18.7%	81.1%	0.1%	8
36.7%	60.8%	2.5%	9
43.3%	49.9%	6.8%	10
49.7%	40.8%	9.5%	11
58.2%	30.2%	11.6%	12
61.3%	24.4%	14.3%	13
65%	19.8%	15.3%	14

sample14.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	15×	body	80	invalid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	300	7
1	300	7

prune3.0ms

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: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* y (- z x)))
0.0b	(* y (- z x))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

3.0ms	(+ x (* y (- z x)))
8.0ms	(* y (- z x))

series25.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(+ x (* y (- z x)))
14.0ms	(* y (- z x))

simplify73.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4949	327
1	4949	327

prune78.0ms

Filtered

29 candidates to 43 candidates (-48.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	3	44

Merged error: 0b

Counts

44 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* y (- z x))) (cbrt (* y (- z x))))
3.1b	(cbrt (* y (- z x)))
3.1b	(cbrt (* y (- z x)))
3.1b	(cbrt (* y (- z x)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3--` `pow1/3` `flip--`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

11.0ms	(* (cbrt (* y (- z x))) (cbrt (* y (- z x))))
8.0ms	(cbrt (* y (- z x)))
7.0ms	(cbrt (* y (- z x)))
8.0ms	(cbrt (* y (- z x)))

series186.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* (cbrt (* y (- z x))) (cbrt (* y (- z x))))
56.0ms	(cbrt (* y (- z x)))
36.0ms	(cbrt (* y (- z x)))
38.0ms	(cbrt (* y (- z x)))

simplify43.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5690	794

prune86.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	84	3	87

Merged error: 0b

Counts

87 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (- z x) (sqrt y))
0.2b	(* (sqrt y) (* (- z x) (sqrt y)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
11×	`associate-l`
9×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
7×	`add-cube-cbrt` `associate-r` `sqrt-prod`
4×	`pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
2×	`flip3--` `associate-r/` `-commutative` `flip--` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

2 → 49

Calls

2 calls:

7.0ms	(* (- z x) (sqrt y))
10.0ms	(* (sqrt y) (* (- z x) (sqrt y)))

series23.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(* (- z x) (sqrt y))
14.0ms	(* (sqrt y) (* (- z x) (sqrt y)))

simplify52.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4963	417
1	4963	417

prune46.0ms

Filtered

39 candidates to 55 candidates (-41.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	55	3	58

Merged error: 0b

Counts

58 → 3

regimes179.0ms

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	18	7
1	18	7

end0.0ms

sample384.0ms

Algorithm

intervals

Results

195.0ms	8000×	body	80	valid
16.0ms	599×	body	80	invalid

Details

analyze266.0ms

sample14.0ms

simplify10.0ms

prune3.0ms

localize5.0ms

rewrite13.0ms

series25.0ms

simplify73.0ms

prune78.0ms

localize19.0ms

rewrite37.0ms

series186.0ms

simplify43.0ms

prune86.0ms

localize7.0ms

rewrite18.0ms

series23.0ms

simplify52.0ms

prune46.0ms

regimes179.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample384.0ms

Profiling