Details

sample36.0ms

Algorithm

intervals

Results

12.0ms	313×	body	80	valid
2.0ms	12×	body	640	valid
1.0ms	12×	body	320	valid
1.0ms	3×	body	1280	valid
0.0ms	3×	body	160	valid

simplify5.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	13
1	21	13
2	47	13
3	124	13
4	284	13
5	639	13
6	1179	13
7	2078	13
8	3434	13
done	5001	13

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: 0.4b

Counts

2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2.0 3.0) z)
0.0b	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
0.0b	(* (- y x) 6.0)
0.3b	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`associate-*l/`
9×	`associate-r`
8×	`flip3--` `flip--` `add-log-exp`
7×	`add-cube-cbrt`
6×	`associate-l`
5×	`sub-neg` `difference-of-squares`
4×	`distribute-rgt-in` `frac-times` `associate-+r+` `distribute-lft-in` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-out--`
2×	`times-frac` `associate-r/` `-commutative`
1×	`+-commutative` `flip3-+` `diff-log` `sum-log` `flip-+` `unswap-sqr`

Counts

4 → 85

Calls

4 calls:

8.0ms	(- (/ 2.0 3.0) z)
5.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
7.0ms	(* (- y x) 6.0)
15.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series33.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(- (/ 2.0 3.0) z)
16.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
4.0ms	(* (- y x) 6.0)
10.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify999.0ms

Counts

97 → 97

Iterations

Useful iterations: 2 (221.0ms)

Iter	Nodes	Cost
0	157	1335
1	434	1273
2	1787	1167
done	5001	1167

prune150.0ms

Filtered

67 candidates to 97 candidates (-44.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	89	8	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	90	8	98

Merged error: 0.0b

Counts

98 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 6.0 (- (/ 2.0 3.0) z))
0.0b	(- (/ 2.0 3.0) z)
0.0b	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
0.1b	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
18×	`distribute-rgt-in` `distribute-lft-in`
13×	`*-un-lft-identity`
11×	`pow1` `add-exp-log` `sub-neg` `add-cbrt-cube`
10×	`associate-*r/`
8×	`associate-+r+` `flip3--` `associate-l` `flip--` `add-log-exp`
7×	`add-cube-cbrt` `associate-r`
5×	`difference-of-squares`
4×	`frac-times` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-out--`
2×	`times-frac` `associate-l/` `-commutative`
1×	`+-commutative` `flip3-+` `diff-log` `sum-log` `flip-+` `unswap-sqr`

Counts

4 → 97

Calls

4 calls:

10.0ms	(* 6.0 (- (/ 2.0 3.0) z))
8.0ms	(- (/ 2.0 3.0) z)
6.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
15.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series29.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* 6.0 (- (/ 2.0 3.0) z))
2.0ms	(- (/ 2.0 3.0) z)
13.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
10.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify664.0ms

Counts

109 → 109

Iterations

Useful iterations: done (661.0ms)

Iter	Nodes	Cost
0	164	1524
1	434	1470
2	1425	1356
done	5001	1336

prune138.0ms

Filtered

71 candidates to 109 candidates (-53.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	109	8	117

Merged error: 0.0b

Counts

117 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y x) 6.0)
0.0b	(* (- y x) 6.0)
0.2b	(* (* (- y x) 6.0) (neg z))
0.3b	(* (/ 2.0 3.0) (* (- y x) 6.0))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
25×	`add-exp-log` `add-cbrt-cube`
24×	`associate-l`
22×	`*-un-lft-identity`
18×	`pow1` `add-cube-cbrt`
17×	`associate-r`
13×	`associate-*l/`
11×	`prod-exp` `cbrt-unprod`
9×	`times-frac`
8×	`pow-prod-down`
5×	`flip3--` `flip--`
4×	`*-commutative` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`cbrt-undiv` `frac-times` `associate-*r/` `div-exp` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`neg-mul-1` `distribute-rgt-neg-out` `div-inv`

Counts

4 → 109

Calls

4 calls:

7.0ms	(* (- y x) 6.0)
9.0ms	(* (- y x) 6.0)
9.0ms	(* (* (- y x) 6.0) (neg z))
10.0ms	(* (/ 2.0 3.0) (* (- y x) 6.0))

series22.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* (- y x) 6.0)
5.0ms	(* (- y x) 6.0)
9.0ms	(* (* (- y x) 6.0) (neg z))
5.0ms	(* (/ 2.0 3.0) (* (- y x) 6.0))

simplify1.1s

Counts

121 → 121

Iterations

Useful iterations: 2 (343.0ms)

Iter	Nodes	Cost
0	166	1224
1	466	1168
2	2104	992
done	5001	992

prune153.0ms

Filtered

80 candidates to 121 candidates (-51.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	121	8	129

Merged error: 0.0b

Counts

129 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- (/ 2.0 3.0) z))
0.3b	(* (* (- y x) 6.0) (* (cbrt (- (/ 2.0 3.0) z)) (cbrt (- (/ 2.0 3.0) z))))
0.3b	(* (* (* (- y x) 6.0) (* (cbrt (- (/ 2.0 3.0) z)) (cbrt (- (/ 2.0 3.0) z)))) (cbrt (- (/ 2.0 3.0) z)))
0.8b	(* (cbrt (- (/ 2.0 3.0) z)) (cbrt (- (/ 2.0 3.0) z)))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

212×	`cbrt-div`
168×	`frac-times`
142×	`flip3--` `flip--`
132×	`associate-*l/`
60×	`associate-*r/`
53×	`add-sqr-sqrt`
44×	`cbrt-prod`
41×	`pow1`
36×	`add-exp-log`
33×	`*-un-lft-identity`
23×	`pow-prod-down`
22×	`prod-exp` `cbrt-unprod`
21×	`add-cbrt-cube`
19×	`associate-r`
15×	`add-cube-cbrt`
12×	`difference-of-squares`
11×	`swap-sqr` `associate-l`
8×	`distribute-lft-out--`
7×	`pow1/3`
6×	`times-frac`
4×	`add-log-exp` `unswap-sqr`
3×	`*-commutative`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 236

Calls

4 calls:

7.0ms	(cbrt (- (/ 2.0 3.0) z))
26.0ms	(* (* (- y x) 6.0) (* (cbrt (- (/ 2.0 3.0) z)) (cbrt (- (/ 2.0 3.0) z))))
43.0ms	(* (* (* (- y x) 6.0) (* (cbrt (- (/ 2.0 3.0) z)) (cbrt (- (/ 2.0 3.0) z)))) (cbrt (- (/ 2.0 3.0) z)))
19.0ms	(* (cbrt (- (/ 2.0 3.0) z)) (cbrt (- (/ 2.0 3.0) z)))

series61.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(cbrt (- (/ 2.0 3.0) z))
37.0ms	(* (* (- y x) 6.0) (* (cbrt (- (/ 2.0 3.0) z)) (cbrt (- (/ 2.0 3.0) z))))
10.0ms	(* (* (* (- y x) 6.0) (* (cbrt (- (/ 2.0 3.0) z)) (cbrt (- (/ 2.0 3.0) z)))) (cbrt (- (/ 2.0 3.0) z)))
8.0ms	(* (cbrt (- (/ 2.0 3.0) z)) (cbrt (- (/ 2.0 3.0) z)))

simplify1.2s

Counts

248 → 248

Iterations

Useful iterations: 2 (434.0ms)

Iter	Nodes	Cost
0	438	9548
1	1103	9132
2	3674	8316
done	5000	8316

prune633.0ms

Filtered

149 candidates to 248 candidates (-66.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	248	0	248
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	248	8	256

Merged error: 0.0b

Counts

256 → 8

regimes368.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	13
1	15	13
done	15	13

end0.0ms

sample871.0ms

Algorithm

intervals

Results

370.0ms	9576×	body	80	valid
43.0ms	253×	body	640	valid
27.0ms	152×	body	1280	valid
24.0ms	189×	body	320	valid
9.0ms	125×	body	160	valid

Details

sample36.0ms

simplify5.3s

prune3.0ms

localize9.0ms

rewrite38.0ms

series33.0ms

simplify999.0ms

prune150.0ms

localize12.0ms

rewrite42.0ms

series29.0ms

simplify664.0ms

prune138.0ms

localize14.0ms

rewrite39.0ms

series22.0ms

simplify1.1s

prune153.0ms

localize14.0ms

rewrite116.0ms

series61.0ms

simplify1.2s

prune633.0ms

regimes368.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample871.0ms

Profiling