Details

analyze221.0ms

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

sample24.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	112	5
1	112	5

prune5.0ms

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))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(- x (* y z))

simplify45.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4972	109
1	4972	109

prune18.0ms

Filtered

11 candidates to 14 candidates (-27.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	2	15

Merged error: 0.0b

Counts

15 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

2.1b	(- (* x x) (* y (* y (* z z))))
4.5b	(* y (* y (* z z)))
7.8b	(* y (* z z))
26.4b	(/ (- (* x x) (* y (* y (* z z)))) (+ x (* y z)))

rewrite26.0ms

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

series51.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(- (* x x) (* y (* y (* z z))))
6.0ms	(* y (* y (* z z)))
7.0ms	(* y (* z z))
19.0ms	(/ (- (* x x) (* y (* y (* z z)))) (+ x (* y z)))

simplify41.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5406	1114

prune79.0ms

Filtered

63 candidates to 95 candidates (-50.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	94	1	95
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	95	2	97

Merged error: 0b

Counts

97 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ y (+ x (* y z)))
0.1b	(/ x (+ x (* y z)))
7.8b	(* y (* z z))
12.3b	(* (* y (* z z)) (/ y (+ x (* y z))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-exp-log` `add-cbrt-cube`
29×	`add-sqr-sqrt`
28×	`add-cube-cbrt` `*-un-lft-identity`
27×	`times-frac`
18×	`pow1`
16×	`associate-r`
15×	`prod-exp` `cbrt-unprod`
9×	`pow-prod-down`
6×	`associate-/r` `associate-/r/` `associate-/l`
5×	`cbrt-undiv` `div-exp`
4×	`associate-l` `add-log-exp`
3×	`flip3-+` `flip-+` `div-inv`
2×	`frac-2neg` `clear-num` `*-commutative`
1×	`associate-*r/` `unswap-sqr`

Counts

4 → 117

Calls

4 calls:

4.0ms	(/ y (+ x (* y z)))
4.0ms	(/ x (+ x (* y z)))
5.0ms	(* y (* z z))
12.0ms	(* (* y (* z z)) (/ y (+ x (* y z))))

series41.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(/ y (+ x (* y z)))
12.0ms	(/ x (+ x (* y z)))
6.0ms	(* y (* z z))
11.0ms	(* (* y (* z z)) (/ y (+ x (* y z))))

simplify57.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4978	1358
1	4978	1358

prune98.0ms

Filtered

87 candidates to 129 candidates (-48.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	129	2	131

Merged error: 0b

Counts

131 → 2

regimes207.0ms

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

sample698.0ms

Algorithm

intervals

Results

157.0ms

8000×

body

valid

Details

analyze221.0ms

sample24.0ms

simplify6.0ms

prune5.0ms

localize4.0ms

rewrite3.0ms

series7.0ms

simplify45.0ms

prune18.0ms

localize10.0ms

rewrite26.0ms

series51.0ms

simplify41.0ms

prune79.0ms

localize15.0ms

rewrite30.0ms

series41.0ms

simplify57.0ms

prune98.0ms

regimes207.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample698.0ms

Profiling