Details

analyze227.0ms

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
18.7%	81.1%	0.1%	7
21.8%	78%	0.1%	8
43.7%	56.2%	0.1%	9
54.6%	39%	6.4%	10
58.5%	35.1%	6.4%	11
67.3%	26.3%	6.4%	12
71.7%	18.8%	9.5%	13
74.1%	16.4%	9.5%	14

sample15.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	9×	body	80	invalid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	225	7
1	225	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 1 expressions with local error:

0.0b	(- x (* (* y 4.0) z))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 11

Calls

1 calls:

3.0ms

(- x (* (* y 4.0) z))

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

(- x (* (* y 4.0) z))

simplify37.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4936	145
1	4936	145

prune29.0ms

Filtered

12 candidates to 14 candidates (-16.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	12	2	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	3	15

Merged error: 0.0b

Counts

15 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (- x (* y (* 4.0 z)))) (cbrt (- x (* y (* 4.0 z)))))
0.5b	(cbrt (- x (* y (* 4.0 z))))
0.5b	(cbrt (- x (* y (* 4.0 z))))
0.5b	(cbrt (- x (* y (* 4.0 z))))

rewrite19.0ms

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:

9.0ms	(* (cbrt (- x (* y (* 4.0 z)))) (cbrt (- x (* y (* 4.0 z)))))
3.0ms	(cbrt (- x (* y (* 4.0 z))))
2.0ms	(cbrt (- x (* y (* 4.0 z))))
3.0ms	(cbrt (- x (* y (* 4.0 z))))

series176.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (cbrt (- x (* y (* 4.0 z)))) (cbrt (- x (* y (* 4.0 z)))))
43.0ms	(cbrt (- x (* y (* 4.0 z))))
40.0ms	(cbrt (- x (* y (* 4.0 z))))
42.0ms	(cbrt (- x (* y (* 4.0 z))))

simplify63.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4897	1443
1	4897	1443

prune199.0ms

Filtered

75 candidates to 99 candidates (-32.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	98	4	102

Merged error: 0b

Counts

102 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- x (* y (* 4.0 z))))
0.6b	(cbrt (cbrt (- x (* y (* 4.0 z)))))
0.6b	(cbrt (cbrt (- x (* y (* 4.0 z)))))
0.9b	(pow (cbrt (cbrt (- x (* y (* 4.0 z))))) 4)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`cbrt-div`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `flip3--` `flip--`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 69

Calls

4 calls:

2.0ms	(cbrt (- x (* y (* 4.0 z))))
3.0ms	(cbrt (cbrt (- x (* y (* 4.0 z)))))
3.0ms	(cbrt (cbrt (- x (* y (* 4.0 z)))))
5.0ms	(pow (cbrt (cbrt (- x (* y (* 4.0 z))))) 4)

series220.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(cbrt (- x (* y (* 4.0 z))))
47.0ms	(cbrt (cbrt (- x (* y (* 4.0 z)))))
50.0ms	(cbrt (cbrt (- x (* y (* 4.0 z)))))
81.0ms	(pow (cbrt (cbrt (- x (* y (* 4.0 z))))) 4)

simplify53.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5039	1172

prune242.0ms

Filtered

67 candidates to 81 candidates (-20.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	81	4	85

Merged error: 0b

Counts

85 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

1.2b	(+ (* x x) (* y (* 4.0 (* z (+ x (* y (* 4.0 z)))))))
2.5b	(- (pow x 3) (pow (* y (* 4.0 z)) 3))
3.5b	(* y (* 4.0 (* z (+ x (* y (* 4.0 z))))))
40.5b	(/ (- (pow x 3) (pow (* y (* 4.0 z)) 3)) (+ (* x x) (* y (* 4.0 (* z (+ x (* y (* 4.0 z))))))))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-sqr-sqrt`
40×	`difference-of-squares`
39×	`times-frac`
33×	`*-un-lft-identity`
30×	`sqr-pow`
24×	`distribute-rgt-in` `distribute-lft-in`
23×	`add-cube-cbrt`
15×	`add-exp-log` `add-cbrt-cube`
13×	`pow1` `associate-/l*`
10×	`unpow-prod-down` `cube-prod`
8×	`associate-+r+` `add-log-exp`
6×	`associate-*r/` `pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`difference-cubes` `distribute-lft-out--`
3×	`flip3-+` `associate-l` `associate-/r*` `flip-+`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `associate-r` `clear-num` `sum-log` `*-commutative` `div-inv`

Counts

4 → 143

Calls

4 calls:

6.0ms	(+ (* x x) (* y (* 4.0 (* z (+ x (* y (* 4.0 z)))))))
9.0ms	(- (pow x 3) (pow (* y (* 4.0 z)) 3))
9.0ms	(* y (* 4.0 (* z (+ x (* y (* 4.0 z))))))
17.0ms	(/ (- (pow x 3) (pow (* y (* 4.0 z)) 3)) (+ (* x x) (* y (* 4.0 (* z (+ x (* y (* 4.0 z))))))))

series105.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ (* x x) (* y (* 4.0 (* z (+ x (* y (* 4.0 z)))))))
37.0ms	(- (pow x 3) (pow (* y (* 4.0 z)) 3))
12.0ms	(* y (* 4.0 (* z (+ x (* y (* 4.0 z))))))
35.0ms	(/ (- (pow x 3) (pow (* y (* 4.0 z)) 3)) (+ (* x x) (* y (* 4.0 (* z (+ x (* y (* 4.0 z))))))))

simplify81.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5376	4725

prune303.0ms

Filtered

104 candidates to 155 candidates (-49.0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	155	0	155
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	155	4	159

Merged error: 0b

Counts

159 → 4

regimes328.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	51	7
1	51	7

end0.0ms

sample362.0ms

Algorithm

intervals

Results

186.0ms	8000×	body	80	valid
9.0ms	280×	body	80	invalid

Details

analyze227.0ms

sample15.0ms

simplify9.0ms

prune6.0ms

localize5.0ms

rewrite3.0ms

series9.0ms

simplify37.0ms

prune29.0ms

localize9.0ms

rewrite19.0ms

series176.0ms

simplify63.0ms

prune199.0ms

localize16.0ms

rewrite17.0ms

series220.0ms

simplify53.0ms

prune242.0ms

localize16.0ms

rewrite47.0ms

series105.0ms

simplify81.0ms

prune303.0ms

regimes328.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample362.0ms

Profiling