Details

analyze5.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
62.5%	12.5%	25%	5
62.5%	6.2%	31.3%	6
65.6%	3.1%	31.3%	7
65.6%	1.6%	32.8%	8
66.4%	0.8%	32.8%	9
66.4%	0.4%	33.2%	10
66.6%	0.2%	33.2%	11
66.6%	0.1%	33.3%	12
66.6%	0%	33.3%	13
66.6%	0%	33.3%	14

sample11.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify239.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (225.0ms)

Iter	Nodes	Cost
0	4793	13
1	4793	13

prune9.0ms

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: 0.0b

Counts

2 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

12×	`associate-r_binary64` `add-sqr-sqrt_binary64`
6×	`add-exp-log_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
4×	`unswap-sqr_binary64` `unpow-prod-down_binary64` `cube-prod_binary64`
3×	`add-cbrt-cube_binary64` `associate-l_binary64` `prod-exp_binary64`
2×	`sqr-pow_binary64`
1×	`pow-to-exp_binary64` `add-log-exp_binary64` `pow1_binary64` `cbrt-unprod_binary64` `insert-posit16` `pow-exp_binary64` `unpow3_binary64` `*-commutative_binary64` `cube-mult_binary64`

Counts

1 → 32

Calls

1 calls:

8.0ms

(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))

series239.0ms

Counts

1 → 3

Calls

1 calls:

238.0ms

(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	451	756
1	451	756
0	14	9
1	14	9
0	451	756
1	451	756
0	14	9
1	14	9
0	1	3
1	1	3

simplify142.0ms

Counts

35 → 35

Iterations

Useful iterations: 0 (121.0ms)

Iter	Nodes	Cost
0	4902	296
1	4902	296

prune29.0ms

Filtered

22 candidates to 35 candidates (-59.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	32	3	35
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	33	4	37

Merged error: 0.0b

Counts

37 → 4

localize7.0ms

Local error

Found 1 expressions with local error:

0.2b	(.f64 (.f64 4647935950575487/36028797018963968 x) (*.f64 x x))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
1×	`-un-lft-identity_binary64` `add-log-exp_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `associate-l_binary64` `add-sqr-sqrt_binary64` `insert-posit16` `-commutative_binary64`

Counts

1 → 23

Calls

1 calls:

11.0ms

(*.f64 (*.f64 4647935950575487/36028797018963968 x) (*.f64 x x))

series203.0ms

Counts

1 → 3

Calls

1 calls:

203.0ms

(*.f64 (*.f64 4647935950575487/36028797018963968 x) (*.f64 x x))

Iterations

Useful iterations: 0 (11.0ms)

Iter	Nodes	Cost
0	339	549
1	339	549
0	55	69
1	55	69
0	339	549
1	339	549
0	55	69
1	55	69
0	53	3
1	53	3

simplify110.0ms

Counts

26 → 26

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	5171	187

prune11.0ms

Filtered

11 candidates to 26 candidates (-136.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	26	0	26
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	26	4	30

Merged error: 0.0b

Counts

30 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b	(*.f64 (pow.f64 x 3) (sqrt.f64 4647935950575487/36028797018963968))
0.2b	(.f64 (sqrt.f64 4647935950575487/36028797018963968) (.f64 (pow.f64 x 3) (sqrt.f64 4647935950575487/36028797018963968)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64`
18×	`associate-l_binary64`
17×	`add-exp-log_binary64`
10×	`prod-exp_binary64` `sqrt-prod_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-cbrt-cube_binary64`
8×	`unswap-sqr_binary64`
7×	`associate-r_binary64`
5×	`unpow-prod-down_binary64` `cube-prod_binary64`
4×	`pow1_binary64` `cbrt-unprod_binary64`
3×	`sqr-pow_binary64`
2×	`pow-to-exp_binary64` `add-log-exp_binary64` `insert-posit16` `pow-exp_binary64` `*-commutative_binary64`
1×	`pow-prod-down_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

2 → 62

Calls

2 calls:

9.0ms	(*.f64 (pow.f64 x 3) (sqrt.f64 4647935950575487/36028797018963968))
10.0ms	(.f64 (sqrt.f64 4647935950575487/36028797018963968) (.f64 (pow.f64 x 3) (sqrt.f64 4647935950575487/36028797018963968)))

series677.0ms

Counts

2 → 6

Calls

2 calls:

370.0ms	(*.f64 (pow.f64 x 3) (sqrt.f64 4647935950575487/36028797018963968))
306.0ms	(.f64 (sqrt.f64 4647935950575487/36028797018963968) (.f64 (pow.f64 x 3) (sqrt.f64 4647935950575487/36028797018963968)))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	598	1195
1	598	1195
0	30	9
1	30	9
0	598	1195
1	598	1195
0	30	9
1	30	9
0	1	3
1	1	3
0	490	954
1	490	954
0	56	243
1	56	243
0	490	954
1	490	954
0	56	243
1	56	243
0	4969	39
1	4969	39

simplify122.0ms

Counts

68 → 68

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	4993	775
1	4993	775

prune49.0ms

Filtered

43 candidates to 68 candidates (-58.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	67	5	72

Merged error: 0b

Counts

72 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(.f64 (cbrt.f64 (.f64 4647935950575487/36028797018963968 (pow.f64 x 3))) (cbrt.f64 (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))))
30.6b	(cbrt.f64 (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
30.6b	(cbrt.f64 (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
30.6b	(cbrt.f64 (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`pow1/3_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`cbrt-prod_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `associate-r_binary64` `add-cbrt-cube_binary64` `associate-l_binary64` `insert-posit16`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 62

Calls

4 calls:

7.0ms	(.f64 (cbrt.f64 (.f64 4647935950575487/36028797018963968 (pow.f64 x 3))) (cbrt.f64 (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))))
4.0ms	(cbrt.f64 (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
4.0ms	(cbrt.f64 (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
4.0ms	(cbrt.f64 (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))

series2.9s

Counts

4 → 12

Calls

4 calls:

510.0ms	(.f64 (cbrt.f64 (.f64 4647935950575487/36028797018963968 (pow.f64 x 3))) (cbrt.f64 (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))))
803.0ms	(cbrt.f64 (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
809.0ms	(cbrt.f64 (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
800.0ms	(cbrt.f64 (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))

Iterations

Useful iterations: 0 (193.0ms)

Iter	Nodes	Cost
0	54	1651
1	54	1651
0	4525	1610
1	4525	1610
0	54	1651
1	54	1651
0	4525	1610
1	4525	1610
0	4832	26
1	4832	26
0	54	1651
1	54	1651
0	4525	1610
1	4525	1610
0	54	1651
1	54	1651
0	4525	1610
1	4525	1610
0	4832	26
1	4832	26
0	54	1651
1	54	1651
0	4525	1610
1	4525	1610
0	54	1651
1	54	1651
0	4525	1610
1	4525	1610
0	4832	26
1	4832	26
0	125	1766
1	125	1766
0	4644	1668
1	4644	1668
0	125	1766
1	125	1766
0	4644	1668
1	4644	1668
0	4802	31
1	4802	31

simplify133.0ms

Counts

74 → 74

Iterations

Useful iterations: 0 (110.0ms)

Iter	Nodes	Cost
0	5122	694

prune83.0ms

Filtered

55 candidates to 74 candidates (-34.5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	73	1	74
Fresh	1	0	1
Picked	0	1	1
Done	0	3	3
Total	74	5	79

Merged error: 0b

Counts

79 → 5

regimes17.0ms

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	37	13
1	37	13

end0.0ms

sample300.0ms

Algorithm

intervals

Results

220.0ms

8000×

body

valid

Details

analyze5.0ms

sample11.0ms

simplify239.0ms

prune9.0ms

localize6.0ms

rewrite9.0ms

series239.0ms

simplify142.0ms

prune29.0ms

localize7.0ms

rewrite12.0ms

series203.0ms

simplify110.0ms

prune11.0ms

localize8.0ms

rewrite21.0ms

series677.0ms

simplify122.0ms

prune49.0ms

localize10.0ms

rewrite21.0ms

series2.9s

simplify133.0ms

prune83.0ms

regimes17.0ms

bsearch0.0ms

simplify6.0ms

end0.0ms

sample300.0ms

Profiling