Details

analyze457.0ms

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

sample14.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
1.0ms	25×	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

prune7.0ms

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))

rewrite9.0ms

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:

3.0ms	(+ x (* y (+ z x)))
5.0ms	(* y (+ z x))

series12.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify32.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5014	318

prune39.0ms

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

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ z x)) (cbrt (+ z x)))
0.5b	(cbrt (+ z x))
0.5b	(cbrt (+ z x))
0.5b	(cbrt (+ z x))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
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 → 95

Calls

4 calls:

9.0ms	(* (cbrt (+ z x)) (cbrt (+ z x)))
3.0ms	(cbrt (+ z x))
3.0ms	(cbrt (+ z x))
3.0ms	(cbrt (+ z x))

series122.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (cbrt (+ z x)) (cbrt (+ z x)))
28.0ms	(cbrt (+ z x))
30.0ms	(cbrt (+ z x))
28.0ms	(cbrt (+ z x))

simplify74.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4906	919
1	4906	919

prune89.0ms

Filtered

65 candidates to 107 candidates (-64.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	107	3	110

Merged error: 0b

Counts

110 → 3

localize32.0ms

Local error

Found 4 expressions with local error:

23.1b	(/ (* (cbrt (+ (pow z 3) (pow x 3))) (cbrt (- (* z z) (* x x)))) (* (cbrt (+ (* z z) (* x (- x z)))) (cbrt (- z x))))
31.2b	(cbrt (+ (* z z) (* x (- x z))))
31.2b	(cbrt (- (* z z) (* x x)))
39.8b	(cbrt (+ (pow z 3) (pow x 3)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-div`
17×	`*-un-lft-identity`
16×	`add-exp-log` `cbrt-prod`
8×	`frac-times` `flip3-+` `associate-/r/` `add-cbrt-cube` `flip-+` `associate-/l/`
7×	`add-sqr-sqrt` `add-cube-cbrt` `flip3--` `flip--`
5×	`distribute-lft-out`
4×	`pow1` `cbrt-undiv` `unpow-prod-down` `cube-prod` `associate-r/` `div-exp` `associate-l/` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow1/3`
1×	`frac-2neg` `times-frac` `clear-num` `associate-/r` `sum-cubes` `div-inv` `associate-/l` `difference-of-squares`

Counts

4 → 83

Calls

4 calls:

25.0ms	(/ (* (cbrt (+ (pow z 3) (pow x 3))) (cbrt (- (* z z) (* x x)))) (* (cbrt (+ (* z z) (* x (- x z)))) (cbrt (- z x))))
3.0ms	(cbrt (+ (* z z) (* x (- x z))))
3.0ms	(cbrt (- (* z z) (* x x)))
10.0ms	(cbrt (+ (pow z 3) (pow x 3)))

series126.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(/ (* (cbrt (+ (pow z 3) (pow x 3))) (cbrt (- (* z z) (* x x)))) (* (cbrt (+ (* z z) (* x (- x z)))) (cbrt (- z x))))
30.0ms	(cbrt (+ (* z z) (* x (- x z))))
23.0ms	(cbrt (- (* z z) (* x x)))
24.0ms	(cbrt (+ (pow z 3) (pow x 3)))

simplify62.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4952	1932
1	4952	1932

prune187.0ms

Filtered

76 candidates to 95 candidates (-25.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	95	3	98

Merged error: 0b

Counts

98 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (+ z x)))
0.0b	(* y (+ z x))
0.1b	(pow (+ x (* y (+ z x))) 3)
42.4b	(cbrt (pow (+ x (* y (+ z x))) 3))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`cbrt-prod` `add-cube-cbrt`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`unpow-prod-down` `cube-prod` `add-log-exp`
4×	`cube-div` `flip3-+` `associate-r` `flip-+`
3×	`pow-unpow` `associate-l`
2×	`distribute-rgt-in` `cube-mult` `cbrt-div` `associate-+r+` `distribute-lft-in` `unpow3` `associate-*r/` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `*-commutative` `rem-cbrt-cube` `cbrt-unprod` `distribute-lft-out` `rem-cube-cbrt` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

5.0ms	(+ x (* y (+ z x)))
6.0ms	(* y (+ z x))
4.0ms	(pow (+ x (* y (+ z x))) 3)
3.0ms	(cbrt (pow (+ x (* y (+ z x))) 3))

series41.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(+ x (* y (+ z x)))
6.0ms	(* y (+ z x))
22.0ms	(pow (+ x (* y (+ z x))) 3)
7.0ms	(cbrt (pow (+ x (* y (+ z x))) 3))

simplify37.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5022	985

prune90.0ms

Filtered

62 candidates to 96 candidates (-54.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	96	3	99

Merged error: 0b

Counts

99 → 3

regimes184.0ms

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

analyze258.0ms

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

sample358.0ms

Algorithm

intervals

Results

180.0ms	8000×	body	80	valid
16.0ms	622×	body	80	invalid

Details

analyze457.0ms

sample14.0ms

simplify4.0ms

prune7.0ms

localize5.0ms

rewrite9.0ms

series12.0ms

simplify32.0ms

prune39.0ms

localize9.0ms

rewrite20.0ms

series122.0ms

simplify74.0ms

prune89.0ms

localize32.0ms

rewrite44.0ms

series126.0ms

simplify62.0ms

prune187.0ms

localize8.0ms

rewrite20.0ms

series41.0ms

simplify37.0ms

prune90.0ms

regimes184.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze258.0ms

sample358.0ms

Profiling