Details

analyze64.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	50%	25.1%	6
25%	31.2%	43.8%	7
31.2%	25%	43.8%	8
39%	17.2%	43.8%	9
42.9%	13.3%	43.8%	10
47.2%	9%	43.8%	11
49.4%	6.8%	43.8%	12
51.6%	4.6%	43.8%	13
52.7%	3.5%	43.8%	14

sample13.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
0.0ms	1×	body	80	invalid

simplify23.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	40	13
1	40	13

prune4.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.1b

Counts

2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x x) (.f64 y (*.f64 y 3)))
0.2b	(.f64 y (.f64 y 3))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `-un-lft-identity_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `associate-l*_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
2×	`insert-posit16`
1×	`flip3-+_binary64` `associate-r_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 31

Calls

2 calls:

6.0ms	(+.f64 (.f64 x x) (.f64 y (*.f64 y 3)))
7.0ms	(.f64 y (.f64 y 3))

series181.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(+.f64 (.f64 x x) (.f64 y (*.f64 y 3)))
124.0ms	(.f64 y (.f64 y 3))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	524	9
1	524	9
0	524	9
1	524	9
0	1	3
1	1	3
0	152	9
1	152	9
0	152	9
1	152	9
0	1	3
1	1	3

simplify113.0ms

Counts

37 → 37

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	4944	382
1	4944	382

prune28.0ms

Filtered

25 candidates to 37 candidates (-48.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	33	4	37
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	34	5	39

Merged error: 0b

Counts

39 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x x) (.f64 (*.f64 y y) 3))
0.2b	(.f64 (.f64 y y) 3)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `add-sqr-sqrt_binary64`
3×	`pow-prod-down_binary64` `-un-lft-identity_binary64` `cbrt-unprod_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64`
2×	`insert-posit16`
1×	`flip3-+_binary64` `associate-l_binary64` `unswap-sqr_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 32

Calls

2 calls:

6.0ms	(+.f64 (.f64 x x) (.f64 (*.f64 y y) 3))
7.0ms	(.f64 (.f64 y y) 3)

series209.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(+.f64 (.f64 x x) (.f64 (*.f64 y y) 3))
149.0ms	(.f64 (.f64 y y) 3)

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	673	9
1	673	9
0	673	9
1	673	9
0	1	3
1	1	3
0	195	9
1	195	9
0	195	9
1	195	9
0	1	3
1	1	3

simplify154.0ms

Counts

38 → 38

Iterations

Useful iterations: 0 (134.0ms)

Iter	Nodes	Cost
0	4919	396
1	4919	396

prune25.0ms

Filtered

25 candidates to 38 candidates (-52.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	38	5	43

Merged error: 0b

Counts

43 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 y (.f64 y 3))
0.4b	(.f64 (sqrt.f64 (.f64 y (.f64 y 3))) (sqrt.f64 (.f64 y (*.f64 y 3))))
20.0b	(sqrt.f64 (.f64 y (.f64 y 3)))
20.0b	(sqrt.f64 (.f64 y (.f64 y 3)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1_binary64`
80×	`pow-prod-down_binary64`
66×	`sqrt-pow1_binary64`
17×	`pow-prod-up_binary64`
14×	`pow1/2_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `pow-sqr_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`associate-l_binary64`
6×	`sqrt-prod_binary64`
5×	`associate-r_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `insert-posit16`
2×	`*-commutative_binary64`
1×	`rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `unswap-sqr_binary64` `pow2_binary64`

Counts

4 → 112

Calls

4 calls:

6.0ms	(.f64 y (.f64 y 3))
15.0ms	(.f64 (sqrt.f64 (.f64 y (.f64 y 3))) (sqrt.f64 (.f64 y (*.f64 y 3))))
4.0ms	(sqrt.f64 (.f64 y (.f64 y 3)))
5.0ms	(sqrt.f64 (.f64 y (.f64 y 3)))

series642.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(.f64 y (.f64 y 3))
231.0ms	(.f64 (sqrt.f64 (.f64 y (.f64 y 3))) (sqrt.f64 (.f64 y (*.f64 y 3))))
145.0ms	(sqrt.f64 (.f64 y (.f64 y 3)))
148.0ms	(sqrt.f64 (.f64 y (.f64 y 3)))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	671	9
1	671	9
0	671	9
1	671	9
0	1	3
1	1	3
0	671	9
1	671	9
0	671	9
1	671	9
0	1	3
1	1	3
0	1159	9
1	1159	9
0	1159	9
1	1159	9
0	1	3
1	1	3
0	524	9
1	524	9
0	524	9
1	524	9
0	1	3
1	1	3

simplify160.0ms

Counts

124 → 124

Iterations

Useful iterations: 0 (133.0ms)

Iter	Nodes	Cost
0	4910	766
1	4910	766

prune56.0ms

Filtered

55 candidates to 124 candidates (-125.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	124	5	129

Merged error: 0b

Counts

129 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x x) (sqrt.f64 (.f64 9 (pow.f64 y 4))))
0.1b	(*.f64 9 (pow.f64 y 4))
19.8b	(sqrt.f64 (*.f64 9 (pow.f64 y 4)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64`
8×	`add-exp-log_binary64`
7×	`associate-r_binary64`
6×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
5×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
4×	`pow1_binary64` `unpow-prod-down_binary64`
3×	`associate-l_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `insert-posit16`
2×	`sqr-pow_binary64`
1×	`pow-to-exp_binary64` `flip3-+_binary64` `pow1/2_binary64` `cbrt-unprod_binary64` `sqrt-pow1_binary64` `+-commutative_binary64` `sqrt-prod_binary64` `flip-+_binary64` `pow-exp_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

3 → 49

Calls

3 calls:

5.0ms	(+.f64 (.f64 x x) (sqrt.f64 (.f64 9 (pow.f64 y 4))))
6.0ms	(*.f64 9 (pow.f64 y 4))
4.0ms	(sqrt.f64 (*.f64 9 (pow.f64 y 4)))

series236.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(+.f64 (.f64 x x) (sqrt.f64 (.f64 9 (pow.f64 y 4))))
80.0ms	(*.f64 9 (pow.f64 y 4))
97.0ms	(sqrt.f64 (*.f64 9 (pow.f64 y 4)))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	685	9
1	685	9
0	685	9
1	685	9
0	1	3
1	1	3
0	529	9
1	529	9
0	529	9
1	529	9
0	1	3
1	1	3
0	188	9
1	188	9
0	188	9
1	188	9
0	1	3
1	1	3

simplify128.0ms

Counts

58 → 58

Iterations

Useful iterations: 0 (106.0ms)

Iter	Nodes	Cost
0	5772	608

prune37.0ms

Filtered

42 candidates to 58 candidates (-38.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	58	5	63

Merged error: 0b

Counts

63 → 5

regimes46.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	13
1	11	13

end0.0ms

sample336.0ms

Algorithm

intervals

Results

214.0ms	8000×	body	80	valid
0.0ms	7×	body	80	invalid

Iter	Nodes	Cost
0	685	9
1	685	9
0	685	9
1	685	9
0	1	3
1	1	3
0	529	9
1	529	9
0	529	9
1	529	9
0	1	3
1	1	3
0	188	9
1	188	9
0	188	9
1	188	9
0	1	3
1	1	3

Iter	Nodes	Cost
0	685	9
1	685	9
0	685	9
1	685	9
0	1	3
1	1	3
0	529	9
1	529	9
0	529	9
1	529	9
0	1	3
1	1	3
0	188	9
1	188	9
0	188	9
1	188	9
0	1	3
1	1	3

Details

analyze64.0ms

sample13.0ms

simplify23.0ms

prune4.0ms

localize6.0ms

rewrite14.0ms

series181.0ms

simplify113.0ms

prune28.0ms

localize7.0ms

rewrite14.0ms

series209.0ms

simplify154.0ms

prune25.0ms

localize8.0ms

rewrite36.0ms

series642.0ms

simplify160.0ms

prune56.0ms

localize7.0ms

rewrite17.0ms

series236.0ms

simplify128.0ms

prune37.0ms

regimes46.0ms

bsearch0.0ms

simplify6.0ms

end0.0ms

sample336.0ms

Profiling

Iter	Nodes	Cost
0	685	9
1	685	9
0	685	9
1	685	9
0	1	3
1	1	3
0	529	9
1	529	9
0	529	9
1	529	9
0	1	3
1	1	3
0	188	9
1	188	9
0	188	9
1	188	9
0	1	3
1	1	3