Details

sample63.0ms

Algorithm

intervals

Results

13.0ms	28×	body	1280	valid
13.0ms	220×	body	80	valid
7.0ms	22×	body	640	valid
5.0ms	102×	body	80	nan
4.0ms	19×	body	320	valid
1.0ms	6×	body	160	valid

simplify665.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	10	13
1	18	13
2	27	11
3	54	11
4	112	11
5	272	11
6	653	11
7	2206	11
done	5000	11

prune8.0ms

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: 6.9b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (pow (/ y (+ z y)) y) y) x)
0.0b	(/ y (+ z y))
7.1b	(pow (/ y (+ z y)) y)

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
24×	`times-frac`
21×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`unpow-prod-down`
8×	`add-exp-log` `distribute-lft-out`
5×	`add-cbrt-cube` `add-log-exp`
4×	`pow1` `associate-/r*` `associate-/r/`
3×	`pow-unpow` `flip3-+` `flip-+` `associate-/l*`
2×	`div-exp` `pow-exp` `div-inv`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `pow-pow` `frac-2neg` `clear-num` `sum-log` `sqr-pow`

Counts

3 → 78

Calls

3 calls:

33.0ms	(+ (/ (pow (/ y (+ z y)) y) y) x)
6.0ms	(/ y (+ z y))
8.0ms	(pow (/ y (+ z y)) y)

series61.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(+ (/ (pow (/ y (+ z y)) y) y) x)
6.0ms	(/ y (+ z y))
20.0ms	(pow (/ y (+ z y)) y)

simplify483.0ms

Counts

87 → 87

Iterations

Useful iterations: done (481.0ms)

Iter	Nodes	Cost
0	227	1364
1	610	1293
2	1874	1186
done	5000	1183

prune137.0ms

Filtered

66 candidates to 87 candidates (-31.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	82	5	87
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	5	88

Merged error: 0b

Counts

88 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
1.2b	(pow (/ (cbrt y) (cbrt (+ z y))) y)
2.4b	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

61×	`unpow-prod-down`
51×	`cbrt-prod`
48×	`*-un-lft-identity`
43×	`times-frac`
36×	`add-sqr-sqrt` `add-cube-cbrt`
20×	`add-exp-log`
14×	`cbrt-div`
10×	`associate-/r/`
7×	`flip3-+` `pow-exp` `flip-+`
6×	`pow1` `pow-unpow` `distribute-lft-out`
5×	`div-exp`
4×	`frac-times` `prod-exp` `add-cbrt-cube` `add-log-exp`
2×	`pow-to-exp` `pow-pow` `pow1/3` `associate-r/` `associate-l/` `div-inv` `sqr-pow`

Counts

4 → 116

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
12.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
17.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

series123.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(cbrt y)
24.0ms	(cbrt y)
31.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
40.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

simplify894.0ms

Counts

128 → 128

Iterations

Useful iterations: done (889.0ms)

Iter	Nodes	Cost
0	390	2771
1	971	2627
2	2845	2341
done	5000	2335

prune187.0ms

Filtered

91 candidates to 128 candidates (-40.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	128	5	133

Merged error: 0b

Counts

133 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(cbrt y)
23.8b	(pow (/ (* (cbrt y) (cbrt y)) (/ (+ z y) (cbrt y))) y)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

52×	`times-frac`
36×	`*-un-lft-identity`
33×	`unpow-prod-down`
24×	`add-sqr-sqrt` `add-cube-cbrt`
21×	`cbrt-prod`
17×	`add-exp-log`
6×	`div-exp` `distribute-lft-out`
5×	`pow1` `pow-exp`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `pow1/3`
2×	`prod-exp` `div-inv`
1×	`pow-to-exp` `pow-pow` `associate-/r/` `sqr-pow`

Counts

4 → 84

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
16.0ms	(pow (/ (* (cbrt y) (cbrt y)) (/ (+ z y) (cbrt y))) y)

series97.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(cbrt y)
24.0ms	(cbrt y)
27.0ms	(cbrt y)
22.0ms	(pow (/ (* (cbrt y) (cbrt y)) (/ (+ z y) (cbrt y))) y)

simplify481.0ms

Counts

96 → 96

Iterations

Useful iterations: done (477.0ms)

Iter	Nodes	Cost
0	251	1622
1	603	1529
2	1826	1446
done	5001	1334

prune146.0ms

Filtered

76 candidates to 96 candidates (-26.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	96	5	101

Merged error: 0b

Counts

101 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ z y))
0.5b	(cbrt (+ z y))
0.5b	(* (cbrt (+ z y)) (cbrt (+ z y)))
22.6b	(pow (* (/ 1 (* (cbrt (+ z y)) (cbrt (+ z y)))) (/ y (cbrt (+ z y)))) y)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-exp-log`
33×	`*-un-lft-identity`
32×	`cbrt-prod`
23×	`add-sqr-sqrt`
21×	`prod-exp`
16×	`cbrt-div`
15×	`add-cube-cbrt` `div-exp` `pow-exp`
14×	`pow1`
9×	`swap-sqr`
8×	`flip3-+` `pow1/3` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
4×	`frac-times` `rec-exp` `1-exp` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`pow-unpow` `pow-prod-down`
2×	`pow-pow` `associate-r/` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `unpow-prod-down` `pow-plus` `*-commutative` `cbrt-unprod` `sqr-pow`

Counts

4 → 111

Calls

4 calls:

3.0ms	(cbrt (+ z y))
3.0ms	(cbrt (+ z y))
12.0ms	(* (cbrt (+ z y)) (cbrt (+ z y)))
22.0ms	(pow (* (/ 1 (* (cbrt (+ z y)) (cbrt (+ z y)))) (/ y (cbrt (+ z y)))) y)

series157.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(cbrt (+ z y))
34.0ms	(cbrt (+ z y))
43.0ms	(* (cbrt (+ z y)) (cbrt (+ z y)))
42.0ms	(pow (* (/ 1 (* (cbrt (+ z y)) (cbrt (+ z y)))) (/ y (cbrt (+ z y)))) y)

simplify923.0ms

Counts

123 → 123

Iterations

Useful iterations: done (919.0ms)

Iter	Nodes	Cost
0	209	1913
1	477	1751
2	1341	1552
3	4083	1166
done	5000	1141

prune142.0ms

Filtered

80 candidates to 123 candidates (-53.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	123	5	128

Merged error: 0b

Counts

128 → 5

regimes178.0ms

Accuracy

43.6% (0.9b remaining)

Error of 1.3b against oracle of 0.3b and baseline of 2.0b

bsearch69.0ms

Steps

Iters	Range		Point
9	8.575210118576097e-214	1.6832851151405275e-206	3.307875633605721e-210
10	-6.95771001963828e-80	-2.8813010411012626e-98	-2.924921593442485e-98

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	31	95
1	38	65
done	38	65

end0.0ms

sample1.9s

Algorithm

intervals

Results

394.0ms	6561×	body	80	valid
384.0ms	799×	body	1280	valid
281.0ms	913×	body	640	valid
154.0ms	3064×	body	80	nan
109.0ms	538×	body	320	valid
39.0ms	299×	body	160	valid

Details

sample63.0ms

simplify665.0ms

prune8.0ms

localize8.0ms

rewrite49.0ms

series61.0ms

simplify483.0ms

prune137.0ms

localize17.0ms

rewrite42.0ms

series123.0ms

simplify894.0ms

prune187.0ms

localize14.0ms

rewrite24.0ms

series97.0ms

simplify481.0ms

prune146.0ms

localize17.0ms

rewrite45.0ms

series157.0ms

simplify923.0ms

prune142.0ms

regimes178.0ms

bsearch69.0ms

simplify3.0ms

end0.0ms

sample1.9s

Profiling