Details

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

sample25.0ms

Algorithm

intervals

Results

10.0ms	256×	pre	80	true
7.0ms	256×	body	80	valid

simplify24.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	136	13
1	136	13

prune2.0ms

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: 4.0b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.5b	(+.f64 b (+.f64 c d))
3.1b	(+.f64 a (+.f64 b (+.f64 c d)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-log-exp_binary64_1742` `*-un-lft-identity_binary64_1777`
9×	`sum-log_binary64_1687` `distribute-lft-out_binary64_1821`
2×	`add-sqr-sqrt_binary64_1762` `add-cbrt-cube_binary64_1749` `add-cube-cbrt_binary64_1748` `pow1_binary64_1719` `flip-+_binary64_1802` `associate-+r+_binary64_1828` `flip3-+_binary64_1775` `+-commutative_binary64_1844` `add-exp-log_binary64_1741`

Counts

2 → 32

Calls

2 calls:

8.0ms	(+.f64 b (+.f64 c d))
15.0ms	(+.f64 a (+.f64 b (+.f64 c d)))

series129.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(+.f64 b (+.f64 c d))
69.0ms	(+.f64 a (+.f64 b (+.f64 c d)))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	467	9
1	467	9
0	467	9
1	467	9
0	1	3
1	1	3
0	154	9
1	154	9
0	154	9
1	154	9
0	1	3
1	1	3

simplify205.0ms

Counts

38 → 38

Iterations

Useful iterations: 0 (185.0ms)

Iter	Nodes	Cost
0	5067	414

prune35.0ms

Filtered

24 candidates to 38 candidates (-58.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	31	7	38
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	32	7	39

Merged error: 2.7b

Counts

39 → 7

localize8.0ms

Local error

Found 1 expressions with local error:

3.1b	(+.f64 a (+.f64 (+.f64 b c) d))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp_binary64_1742` `*-un-lft-identity_binary64_1777`
6×	`sum-log_binary64_1687` `distribute-lft-out_binary64_1821`
1×	`add-sqr-sqrt_binary64_1762` `add-cbrt-cube_binary64_1749` `add-cube-cbrt_binary64_1748` `pow1_binary64_1719` `flip-+_binary64_1802` `associate-+r+_binary64_1828` `flip3-+_binary64_1775` `+-commutative_binary64_1844` `add-exp-log_binary64_1741`

Counts

1 → 17

Calls

1 calls:

12.0ms

(+.f64 a (+.f64 (+.f64 b c) d))

series70.0ms

Counts

1 → 3

Calls

1 calls:

70.0ms

(+.f64 a (+.f64 (+.f64 b c) d))

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	467	9
1	467	9
0	467	9
1	467	9
0	1	3
1	1	3

simplify93.0ms

Counts

20 → 20

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5139	248

prune23.0ms

Filtered

12 candidates to 20 candidates (-66.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	14	6	20
Fresh	3	3	6
Picked	0	1	1
Done	0	0	0
Total	17	10	27

Merged error: 2.3b

Counts

27 → 10

localize10.0ms

Local error

Found 2 expressions with local error:

0.5b	(cbrt.f64 (pow.f64 (+.f64 a (+.f64 (+.f64 b c) d)) 3))
3.1b	(+.f64 a (+.f64 (+.f64 b c) d))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity_binary64_1777`
18×	`cbrt-prod_binary64_1744` `distribute-lft-out_binary64_1821`
11×	`add-log-exp_binary64_1742`
6×	`cube-prod_binary64_1750` `unpow-prod-down_binary64_1708` `sum-log_binary64_1687`
5×	`add-sqr-sqrt_binary64_1762` `add-cube-cbrt_binary64_1748`
2×	`add-cbrt-cube_binary64_1749` `cbrt-div_binary64_1745` `pow1_binary64_1719` `flip-+_binary64_1802` `cube-div_binary64_1751` `flip3-+_binary64_1775` `add-exp-log_binary64_1741`
1×	`pow1/3_binary64_1711` `sqr-pow_binary64_1809` `associate-+r+_binary64_1828` `cube-mult_binary64_1752` `rem-cbrt-cube_binary64_1754` `+-commutative_binary64_1844` `unpow3_binary64_1717`

Counts

2 → 46

Calls

2 calls:

15.0ms	(cbrt.f64 (pow.f64 (+.f64 a (+.f64 (+.f64 b c) d)) 3))
12.0ms	(+.f64 a (+.f64 (+.f64 b c) d))

series142.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(cbrt.f64 (pow.f64 (+.f64 a (+.f64 (+.f64 b c) d)) 3))
70.0ms	(+.f64 a (+.f64 (+.f64 b c) d))

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	467	9
1	467	9
0	467	9
1	467	9
0	1	3
1	1	3
0	474	9
1	474	9
0	474	9
1	474	9
0	1	3
1	1	3

simplify92.0ms

Counts

52 → 52

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5058	779

prune48.0ms

Filtered

23 candidates to 52 candidates (-126.1%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	43	9	52
Fresh	1	7	8
Picked	1	0	1
Done	0	1	1
Total	45	17	62

Merged error: 2.2b

Counts

62 → 17

localize13.0ms

Local error

Found 3 expressions with local error:

0.5b	(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 a (+.f64 (+.f64 b c) d)) 3)) 3))
0.5b	(cbrt.f64 (pow.f64 (+.f64 a (+.f64 (+.f64 b c) d)) 3))
3.1b	(+.f64 a (+.f64 (+.f64 b c) d))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

102×	`cbrt-prod_binary64_1744`
78×	`*-un-lft-identity_binary64_1777`
42×	`distribute-lft-out_binary64_1821`
39×	`cube-prod_binary64_1750` `unpow-prod-down_binary64_1708`
15×	`add-sqr-sqrt_binary64_1762` `add-cube-cbrt_binary64_1748`
12×	`add-log-exp_binary64_1742`
6×	`cbrt-div_binary64_1745` `cube-div_binary64_1751` `sum-log_binary64_1687`
4×	`sqr-pow_binary64_1809` `cube-mult_binary64_1752` `unpow3_binary64_1717`
3×	`add-cbrt-cube_binary64_1749` `pow1_binary64_1719` `flip-+_binary64_1802` `flip3-+_binary64_1775` `add-exp-log_binary64_1741`
2×	`pow1/3_binary64_1711` `rem-cbrt-cube_binary64_1754`
1×	`associate-+r+_binary64_1828` `+-commutative_binary64_1844`

Counts

3 → 105

Calls

3 calls:

19.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 a (+.f64 (+.f64 b c) d)) 3)) 3))
12.0ms	(cbrt.f64 (pow.f64 (+.f64 a (+.f64 (+.f64 b c) d)) 3))
12.0ms	(+.f64 a (+.f64 (+.f64 b c) d))

series212.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 a (+.f64 (+.f64 b c) d)) 3)) 3))
73.0ms	(cbrt.f64 (pow.f64 (+.f64 a (+.f64 (+.f64 b c) d)) 3))
68.0ms	(+.f64 a (+.f64 (+.f64 b c) d))

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	467	9
1	467	9
0	467	9
1	467	9
0	1	3
1	1	3
0	474	9
1	474	9
0	474	9
1	474	9
0	1	3
1	1	3
0	480	9
1	480	9
0	480	9
1	480	9
0	1	3
1	1	3

simplify114.0ms

Counts

114 → 114

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5189	1989

prune37.0ms

Filtered

31 candidates to 114 candidates (-267.7%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	108	6	114
Fresh	2	13	15
Picked	1	0	1
Done	0	1	1
Total	111	20	131

Merged error: 2.2b

Counts

131 → 20

regimes347.0ms

Accuracy

0% (0.8b remaining)

Error of 2.8b against oracle of 2.0b and baseline of 2.8b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	13
1	14	13

end0.0ms

sample739.0ms

Algorithm

intervals

Results

315.0ms	8000×	pre	80	true
213.0ms	8000×	body	80	valid

Iter	Nodes	Cost
0	467	9
1	467	9
0	467	9
1	467	9
0	1	3
1	1	3
0	474	9
1	474	9
0	474	9
1	474	9
0	1	3
1	1	3
0	480	9
1	480	9
0	480	9
1	480	9
0	1	3
1	1	3

Iter	Nodes	Cost
0	467	9
1	467	9
0	467	9
1	467	9
0	1	3
1	1	3
0	474	9
1	474	9
0	474	9
1	474	9
0	1	3
1	1	3
0	480	9
1	480	9
0	480	9
1	480	9
0	1	3
1	1	3

Details

analyze3.0ms

sample25.0ms

simplify24.0ms

prune2.0ms

localize8.0ms

rewrite24.0ms

series129.0ms

simplify205.0ms

prune35.0ms

localize8.0ms

rewrite12.0ms

series70.0ms

simplify93.0ms

prune23.0ms

localize10.0ms

rewrite29.0ms

series142.0ms

simplify92.0ms

prune48.0ms

localize13.0ms

rewrite52.0ms

series212.0ms

simplify114.0ms

prune37.0ms

regimes347.0ms

bsearch0.0ms

simplify6.0ms

end0.0ms

sample739.0ms

Profiling

Iter	Nodes	Cost
0	467	9
1	467	9
0	467	9
1	467	9
0	1	3
1	1	3
0	474	9
1	474	9
0	474	9
1	474	9
0	1	3
1	1	3
0	480	9
1	480	9
0	480	9
1	480	9
0	1	3
1	1	3