Details

analyze207.0ms

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%	39.8%	5.6%	10
58.5%	35.5%	6%	11
67.3%	26.5%	6.2%	12
71.7%	19.1%	9.2%	13
74.1%	16.6%	9.4%	14

sample13.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	10×	body	80	invalid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	112	5
1	112	5

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

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (* y 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 z))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(- x (* y z))

simplify44.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4972	109
1	4972	109

prune23.0ms

Filtered

11 candidates to 14 candidates (-27.3%)

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: 0b

Counts

15 → 3

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* y z))
0.0b	(sqrt (- x (* y z)))
0.0b	(sqrt (- x (* y z)))
0.3b	(* (sqrt (- x (* y z))) (sqrt (- x (* y z))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3--` `flip--`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`pow2` `sub-neg` `pow-plus` `sqrt-unprod` `diff-log` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

3.0ms	(- x (* y z))
2.0ms	(sqrt (- x (* y z)))
2.0ms	(sqrt (- x (* y z)))
9.0ms	(* (sqrt (- x (* y z))) (sqrt (- x (* y z))))

series55.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(- x (* y z))
20.0ms	(sqrt (- x (* y z)))
17.0ms	(sqrt (- x (* y z)))
11.0ms	(* (sqrt (- x (* y z))) (sqrt (- x (* y z))))

simplify32.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	4918	1080
1	4918	1080

prune80.0ms

Filtered

67 candidates to 110 candidates (-64.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	110	3	113

Merged error: 0b

Counts

113 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

1.9b	(- (* x x) (* y (* y (* z z))))
5.5b	(* y (* y (* z z)))
9.5b	(* y (* z z))
24.4b	(/ (- (* x x) (* y (* y (* z z)))) (+ x (* y z)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log` `add-cbrt-cube`
18×	`pow1`
15×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac` `pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-l` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`flip3--` `associate-r` `associate-/r/` `*-commutative` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `div-exp` `clear-num` `flip-+` `div-inv` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

4.0ms	(- (* x x) (* y (* y (* z z))))
9.0ms	(* y (* y (* z z)))
5.0ms	(* y (* z z))
7.0ms	(/ (- (* x x) (* y (* y (* z z)))) (+ x (* y z)))

series47.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(- (* x x) (* y (* y (* z z))))
6.0ms	(* y (* y (* z z)))
6.0ms	(* y (* z z))
17.0ms	(/ (- (* x x) (* y (* y (* z z)))) (+ x (* y z)))

simplify39.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5406	1114

prune70.0ms

Filtered

63 candidates to 95 candidates (-50.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	95	3	98

Merged error: 0b

Counts

98 → 3

regimes202.0ms

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	32	5
1	32	5

end0.0ms

sample325.0ms

Algorithm

intervals

Results

157.0ms	8000×	body	80	valid
5.0ms	284×	body	80	invalid

Details

analyze207.0ms

sample13.0ms

simplify6.0ms

prune3.0ms

localize4.0ms

rewrite3.0ms

series6.0ms

simplify44.0ms

prune23.0ms

localize6.0ms

rewrite20.0ms

series55.0ms

simplify32.0ms

prune80.0ms

localize10.0ms

rewrite27.0ms

series47.0ms

simplify39.0ms

prune70.0ms

regimes202.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample325.0ms

Profiling