Details

analyze286.0ms

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%	30.4%	11.4%	12
61.3%	24.7%	14%	13
65%	19.9%	15.1%	14

sample15.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	19×	body	80	invalid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	51	7
1	51	7

prune6.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

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:

4.0ms	(+ x (* y (+ z x)))
8.0ms	(* y (+ z x))

series12.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(+ x (* y (+ z x)))
6.0ms	(* y (+ z x))

simplify55.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4950	318
1	4950	318

prune38.0ms

Filtered

28 candidates to 42 candidates (-50.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	3	43

Merged error: 0.0b

Counts

43 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* y (- (* z z) (* x x))) (- z x)))
3.7b	(- (* z z) (* x x))
12.8b	(* y (- (* z z) (* x x)))
17.1b	(/ (* y (- (* z z) (* x x))) (- z x))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

7.0ms	(+ x (/ (* y (- (* z z) (* x x))) (- z x)))
4.0ms	(- (* z z) (* x x))
6.0ms	(* y (- (* z z) (* x x)))
9.0ms	(/ (* y (- (* z z) (* x x))) (- z x))

series59.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(+ x (/ (* y (- (* z z) (* x x))) (- z x)))
5.0ms	(- (* z z) (* x x))
15.0ms	(* y (- (* z z) (* x x)))
20.0ms	(/ (* y (- (* z z) (* x x))) (- z x))

simplify28.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5370	927

prune77.0ms

Filtered

61 candidates to 88 candidates (-44.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	88	3	91

Merged error: 0.0b

Counts

91 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (sqrt y) (* (+ z x) (sqrt y))))
0.1b	(* (+ z x) (sqrt y))
0.2b	(* (sqrt y) (* (+ z x) (sqrt y)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 59

Calls

3 calls:

3.0ms	(+ x (* (sqrt y) (* (+ z x) (sqrt y))))
6.0ms	(* (+ z x) (sqrt y))
9.0ms	(* (sqrt y) (* (+ z x) (sqrt y)))

series34.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(+ x (* (sqrt y) (* (+ z x) (sqrt y))))
11.0ms	(* (+ z x) (sqrt y))
11.0ms	(* (sqrt y) (* (+ z x) (sqrt y)))

simplify38.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4960	566
1	4960	566

prune56.0ms

Filtered

49 candidates to 68 candidates (-38.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	68	3	71

Merged error: 0.0b

Counts

71 → 3

regimes166.0ms

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	9	7
1	9	7

end0.0ms

sample373.0ms

Algorithm

intervals

Results

183.0ms	8000×	body	80	valid
12.0ms	551×	body	80	invalid

Details

analyze286.0ms

sample15.0ms

simplify4.0ms

prune6.0ms

localize5.0ms

rewrite13.0ms

series12.0ms

simplify55.0ms

prune38.0ms

localize11.0ms

rewrite28.0ms

series59.0ms

simplify28.0ms

prune77.0ms

localize7.0ms

rewrite20.0ms

series34.0ms

simplify38.0ms

prune56.0ms

regimes166.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample373.0ms

Profiling