Details

sample32.0ms

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

simplify2.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	13
1	21	13
2	47	13
3	128	13
4	294	13
5	662	13
6	1249	13
7	2284	13
8	4098	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)
16.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series35.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(- (/ 2.0 3.0) z)
17.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
5.0ms	(* (- y x) 6.0)
10.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify579.0ms

Counts

97 → 97

Iterations

Useful iterations: done (576.0ms)

Iter	Nodes	Cost
0	157	1335
1	440	1277
2	1905	1175
done	5000	1167

prune157.0ms

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

localize13.0ms

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)))

rewrite44.0ms

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:

11.0ms	(* 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)))

series30.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* 6.0 (- (/ 2.0 3.0) z))
2.0ms	(- (/ 2.0 3.0) z)
14.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
10.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify462.0ms

Counts

109 → 109

Iterations

Useful iterations: done (458.0ms)

Iter	Nodes	Cost
0	164	1524
1	436	1473
2	1453	1357
done	5002	1336

prune143.0ms

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

localize12.0ms

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	(* (* (- y x) 6.0) (/ 2.0 3.0))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

29×	`associate-r`
26×	`add-sqr-sqrt`
25×	`add-exp-log` `add-cbrt-cube`
22×	`*-un-lft-identity`
18×	`pow1` `add-cube-cbrt`
14×	`associate-*l/`
12×	`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` `div-exp` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`neg-mul-1` `associate-*r/` `distribute-rgt-neg-out` `div-inv`

Counts

4 → 109

Calls

4 calls:

7.0ms	(* (- y x) 6.0)
10.0ms	(* (- y x) 6.0)
9.0ms	(* (* (- y x) 6.0) (neg z))
11.0ms	(* (* (- y x) 6.0) (/ 2.0 3.0))

series24.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify622.0ms

Counts

121 → 121

Iterations

Useful iterations: done (619.0ms)

Iter	Nodes	Cost
0	169	1241
1	479	1188
2	2297	1024
done	5000	997

prune154.0ms

Filtered

79 candidates to 121 candidates (-53.2%)

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

localize18.0ms

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)))

rewrite120.0ms

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))
31.0ms	(* (* (- y x) 6.0) (* (cbrt (- (/ 2.0 3.0) z)) (cbrt (- (/ 2.0 3.0) z))))
41.0ms	(* (* (* (- y x) 6.0) (* (cbrt (- (/ 2.0 3.0) z)) (cbrt (- (/ 2.0 3.0) z)))) (cbrt (- (/ 2.0 3.0) z)))
20.0ms	(* (cbrt (- (/ 2.0 3.0) z)) (cbrt (- (/ 2.0 3.0) z)))

series64.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(cbrt (- (/ 2.0 3.0) z))
38.0ms	(* (* (- 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)))

simplify1.1s

Counts

248 → 248

Iterations

Useful iterations: 2 (357.0ms)

Iter	Nodes	Cost
0	438	9548
1	1132	9182
2	4177	8345
done	5000	8345

prune653.0ms

Filtered

154 candidates to 248 candidates (-61.0%)

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

regimes375.0ms

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

sample890.0ms

Algorithm

intervals

Results

378.0ms	9576×	body	80	valid
39.0ms	253×	body	640	valid
27.0ms	152×	body	1280	valid
20.0ms	189×	body	320	valid
9.0ms	125×	body	160	valid

Details

sample32.0ms

simplify2.4s

prune3.0ms

localize9.0ms

rewrite38.0ms

series35.0ms

simplify579.0ms

prune157.0ms

localize13.0ms

rewrite44.0ms

series30.0ms

simplify462.0ms

prune143.0ms

localize12.0ms

rewrite42.0ms

series24.0ms

simplify622.0ms

prune154.0ms

localize18.0ms

rewrite120.0ms

series64.0ms

simplify1.1s

prune653.0ms

regimes375.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample890.0ms

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