Details

analyze349.0ms

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
40.6%	56.9%	2.5%	9
46%	49.5%	4.4%	10
50.3%	44.9%	4.8%	11
60.3%	30.5%	9.2%	12
62.9%	25.7%	11.4%	13
65.2%	23.2%	11.7%	14

sample20.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	26×	body	80	invalid

simplify48.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4992	11
1	4992	11

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 0.25 (/ (- x z) y))
0.0b	(+ 1.0 (* 4.0 (+ 0.25 (/ (- x z) y))))
0.0b	(/ (- x z) y)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
21×	`add-sqr-sqrt`
15×	`times-frac`
13×	`add-cube-cbrt`
7×	`add-log-exp`
5×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`pow1` `associate-/r*`
2×	`+-commutative` `associate-+r+` `flip3-+` `div-sub` `sum-log` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `distribute-rgt-in` `associate-+r-` `flip3--` `frac-2neg` `distribute-lft-in` `div-exp` `clear-num` `flip--` `div-inv` `distribute-lft-out`

Counts

3 → 64

Calls

3 calls:

11.0ms	(+ 0.25 (/ (- x z) y))
3.0ms	(+ 1.0 (* 4.0 (+ 0.25 (/ (- x z) y))))
5.0ms	(/ (- x z) y)

series18.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(+ 0.25 (/ (- x z) y))
7.0ms	(+ 1.0 (* 4.0 (+ 0.25 (/ (- x z) y))))
6.0ms	(/ (- x z) y)

simplify47.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5898	740

prune84.0ms

Filtered

54 candidates to 73 candidates (-35.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	70	3	73
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	70	4	74

Merged error: 0b

Counts

74 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 2.0 (* (- x z) (/ 4.0 y)))
0.2b	(* (- x z) (/ 4.0 y))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-r`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-l`
4×	`pow1` `add-log-exp`
2×	`frac-times` `flip3--` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 49

Calls

2 calls:

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

series15.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+ 2.0 (* (- x z) (/ 4.0 y)))
8.0ms	(* (- x z) (/ 4.0 y))

simplify43.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5388	557

prune64.0ms

Filtered

39 candidates to 55 candidates (-41.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	55	4	59

Merged error: 0b

Counts

59 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ (- x z) y)) (cbrt (/ (- x z) y)))
3.9b	(cbrt (/ (- x z) y))
3.9b	(cbrt (/ (- x z) y))
3.9b	(cbrt (/ (- x z) y))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

157×	`cbrt-prod`
141×	`add-sqr-sqrt`
135×	`*-un-lft-identity`
123×	`times-frac`
75×	`add-cube-cbrt`
28×	`swap-sqr`
27×	`distribute-lft-out--`
22×	`associate-r` `associate-l`
21×	`difference-of-squares`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 186

Calls

4 calls:

20.0ms	(* (cbrt (/ (- x z) y)) (cbrt (/ (- x z) y)))
4.0ms	(cbrt (/ (- x z) y))
4.0ms	(cbrt (/ (- x z) y))
4.0ms	(cbrt (/ (- x z) y))

series138.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (cbrt (/ (- x z) y)) (cbrt (/ (- x z) y)))
30.0ms	(cbrt (/ (- x z) y))
34.0ms	(cbrt (/ (- x z) y))
29.0ms	(cbrt (/ (- x z) y))

simplify79.0ms

Algorithm

egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5106	2875

prune197.0ms

Filtered

144 candidates to 198 candidates (-37.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	198	0	198
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	198	4	202

Merged error: 0b

Counts

202 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (cbrt (- x z)) (sqrt y))
0.5b	(cbrt (- x z))
0.5b	(cbrt (- x z))
0.5b	(cbrt (- x z))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

59×	`add-sqr-sqrt` `*-un-lft-identity`
50×	`cbrt-prod`
48×	`times-frac`
39×	`add-cube-cbrt`
27×	`sqrt-prod`
10×	`distribute-lft-out--` `difference-of-squares`
8×	`cbrt-div` `associate-/l*`
6×	`add-exp-log` `associate-/r*`
5×	`add-cbrt-cube`
4×	`pow1` `flip3--` `flip--` `add-log-exp`
3×	`pow1/3`
2×	`associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 121

Calls

4 calls:

9.0ms	(/ (cbrt (- x z)) (sqrt y))
3.0ms	(cbrt (- x z))
3.0ms	(cbrt (- x z))
3.0ms	(cbrt (- x z))

series121.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(/ (cbrt (- x z)) (sqrt y))
25.0ms	(cbrt (- x z))
24.0ms	(cbrt (- x z))
25.0ms	(cbrt (- x z))

simplify52.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5154	1510

prune112.0ms

Filtered

89 candidates to 133 candidates (-49.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	133	4	137

Merged error: 0b

Counts

137 → 4

regimes141.0ms

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	24	11
1	24	11

end0.0ms

sample529.0ms

Algorithm

intervals

Results

302.0ms	8000×	body	80	valid
34.0ms	934×	body	80	invalid

Details

analyze349.0ms

sample20.0ms

simplify48.0ms

prune7.0ms

localize8.0ms

rewrite21.0ms

series18.0ms

simplify47.0ms

prune84.0ms

localize8.0ms

rewrite14.0ms

series15.0ms

simplify43.0ms

prune64.0ms

localize12.0ms

rewrite42.0ms

series138.0ms

simplify79.0ms

prune197.0ms

localize13.0ms

rewrite22.0ms

series121.0ms

simplify52.0ms

prune112.0ms

regimes141.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample529.0ms

Profiling