Details

analyze272.0ms

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
31.2%	68.6%	0.1%	7
40.6%	59.3%	0.1%	8
43.7%	56.2%	0.1%	9
56.6%	43.3%	0.1%	10
61%	37.3%	1.7%	11
62.1%	34.8%	3.1%	12
68.6%	25.6%	5.8%	13
70.6%	22.1%	7.4%	14

sample17.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
1.0ms	52×	body	80	invalid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	356	7
1	356	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 x) z))
0.0b	(/ (- y x) z)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/l*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`associate-/r*`
2×	`pow1` `div-sub` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `sum-log` `flip--` `flip-+` `div-inv` `distribute-lft-out`

Counts

2 → 51

Calls

2 calls:

9.0ms	(+ x (/ (- y x) z))
5.0ms	(/ (- y x) z)

series12.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(+ x (/ (- y x) z))
6.0ms	(/ (- y x) z)

simplify40.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5763	519

prune53.0ms

Filtered

40 candidates to 57 candidates (-42.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	55	2	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	3	58

Merged error: 0b

Counts

58 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
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 → 101

Calls

4 calls:

3.0ms	(cbrt (- y x))
3.0ms	(cbrt (- y x))
3.0ms	(cbrt (- y x))
12.0ms	(* (cbrt (- y x)) (cbrt (- y x)))

series116.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(cbrt (- y x))
30.0ms	(cbrt (- y x))
27.0ms	(cbrt (- y x))
33.0ms	(* (cbrt (- y x)) (cbrt (- y x)))

simplify57.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4964	1021
1	4964	1021

prune104.0ms

Filtered

77 candidates to 113 candidates (-46.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	113	3	116

Merged error: 0b

Counts

116 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (sqrt y) (sqrt x))
0.0b	(- (sqrt y) (sqrt x))
0.1b	(/ z (- (sqrt y) (sqrt x)))
0.1b	(/ (+ (sqrt y) (sqrt x)) (/ z (- (sqrt y) (sqrt x))))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

362×	`*-un-lft-identity`
354×	`times-frac`
314×	`add-sqr-sqrt`
208×	`sqrt-prod`
130×	`add-cube-cbrt`
92×	`difference-of-squares`
70×	`distribute-lft-out`
46×	`distribute-lft-out--`
42×	`associate-/r*`
15×	`associate-/r/`
11×	`add-exp-log` `add-cbrt-cube`
8×	`flip3--` `flip--` `div-inv` `associate-/l*` `add-log-exp`
4×	`pow1` `cbrt-undiv` `div-exp`
2×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `associate-/l/`
1×	`+-commutative` `sub-neg` `diff-log` `sum-log`

Counts

4 → 303

Calls

4 calls:

5.0ms	(+ (sqrt y) (sqrt x))
5.0ms	(- (sqrt y) (sqrt x))
7.0ms	(/ z (- (sqrt y) (sqrt x)))
18.0ms	(/ (+ (sqrt y) (sqrt x)) (/ z (- (sqrt y) (sqrt x))))

series84.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(+ (sqrt y) (sqrt x))
8.0ms	(- (sqrt y) (sqrt x))
48.0ms	(/ z (- (sqrt y) (sqrt x)))
22.0ms	(/ (+ (sqrt y) (sqrt x)) (/ z (- (sqrt y) (sqrt x))))

simplify76.0ms

Algorithm

egg-herbie

Counts

315 → 315

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5105	5884

prune178.0ms

Filtered

145 candidates to 315 candidates (-117.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	315	0	315
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	315	3	318

Merged error: 0b

Counts

318 → 3

regimes171.0ms

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	17	7
1	17	7

end0.0ms

sample436.0ms

Algorithm

intervals

Results

205.0ms	8000×	body	80	valid
33.0ms	1357×	body	80	invalid

Details

analyze272.0ms

sample17.0ms

simplify14.0ms

prune3.0ms

localize5.0ms

rewrite16.0ms

series12.0ms

simplify40.0ms

prune53.0ms

localize9.0ms

rewrite24.0ms

series116.0ms

simplify57.0ms

prune104.0ms

localize9.0ms

rewrite57.0ms

series84.0ms

simplify76.0ms

prune178.0ms

regimes171.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample436.0ms

Profiling