Details

sample64.0ms

Algorithm

intervals

Results

14.0ms	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

simplify650.0ms

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	110	11
5	285	11
6	665	11
7	1948	11
done	5001	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)

rewrite50.0ms

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:

28.0ms	(+ (/ (pow (/ y (+ z y)) y) y) x)
12.0ms	(/ y (+ z y))
7.0ms	(pow (/ y (+ z y)) y)

series67.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(+ (/ (pow (/ y (+ z y)) y) y) x)
6.0ms	(/ y (+ z y))
21.0ms	(pow (/ y (+ z y)) y)

simplify481.0ms

Counts

87 → 87

Iterations

Useful iterations: done (478.0ms)

Iter	Nodes	Cost
0	227	1364
1	610	1285
2	2006	1173
done	5000	1167

prune140.0ms

Filtered

64 candidates to 87 candidates (-35.9%)

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

localize20.0ms

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)

rewrite38.0ms

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)

series133.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(cbrt y)
27.0ms	(cbrt y)
33.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
47.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

simplify637.0ms

Counts

128 → 128

Iterations

Useful iterations: done (632.0ms)

Iter	Nodes	Cost
0	390	2771
1	971	2618
2	2994	2327
done	5001	2323

prune198.0ms

Filtered

90 candidates to 128 candidates (-42.2%)

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

localize16.0ms

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)
15.0ms	(pow (/ (* (cbrt y) (cbrt y)) (/ (+ z y) (cbrt y))) y)

series107.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(cbrt y)
26.0ms	(cbrt y)
26.0ms	(cbrt y)
24.0ms	(pow (/ (* (cbrt y) (cbrt y)) (/ (+ z y) (cbrt y))) y)

simplify460.0ms

Counts

96 → 96

Iterations

Useful iterations: done (457.0ms)

Iter	Nodes	Cost
0	251	1622
1	603	1522
2	1923	1337
done	5001	1335

prune149.0ms

Filtered

73 candidates to 96 candidates (-31.5%)

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

localize15.0ms

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)

rewrite48.0ms

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:

4.0ms	(cbrt (+ z y))
3.0ms	(cbrt (+ z y))
11.0ms	(* (cbrt (+ z y)) (cbrt (+ z y)))
25.0ms	(pow (* (/ 1 (* (cbrt (+ z y)) (cbrt (+ z y)))) (/ y (cbrt (+ z y)))) y)

series163.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(cbrt (+ z y))
37.0ms	(cbrt (+ z y))
50.0ms	(* (cbrt (+ z y)) (cbrt (+ z y)))
39.0ms	(pow (* (/ 1 (* (cbrt (+ z y)) (cbrt (+ z y)))) (/ y (cbrt (+ z y)))) y)

simplify856.0ms

Counts

123 → 123

Iterations

Useful iterations: 3 (329.0ms)

Iter	Nodes	Cost
0	209	1913
1	477	1704
2	1270	1543
3	3828	1139
done	5000	1139

prune139.0ms

Filtered

76 candidates to 123 candidates (-61.8%)

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

regimes188.0ms

Accuracy

43.6% (0.9b remaining)

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

bsearch70.0ms

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

402.0ms	6561×	body	80	valid
390.0ms	799×	body	1280	valid
289.0ms	913×	body	640	valid
154.0ms	3064×	body	80	nan
111.0ms	538×	body	320	valid
40.0ms	299×	body	160	valid

Details

sample64.0ms

simplify650.0ms

prune8.0ms

localize8.0ms

rewrite50.0ms

series67.0ms

simplify481.0ms

prune140.0ms

localize20.0ms

rewrite38.0ms

series133.0ms

simplify637.0ms

prune198.0ms

localize16.0ms

rewrite24.0ms

series107.0ms

simplify460.0ms

prune149.0ms

localize15.0ms

rewrite48.0ms

series163.0ms

simplify856.0ms

prune139.0ms

regimes188.0ms

bsearch70.0ms

simplify3.0ms

end0.0ms

sample1.9s

Profiling