Details

analyze306.0ms

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
31.2%	68.6%	0.1%	8
35.9%	60.8%	3.3%	9
44.1%	48%	7.9%	10
54.8%	36.9%	8.3%	11
57.6%	31.5%	10.9%	12
61.9%	24%	14.1%	13
67.2%	18.6%	14.2%	14

sample15.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	19×	body	80	invalid

simplify54.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	511	13
1	511	13

prune1.0ms

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: 3.3b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 1 y) z)
3.1b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_13747`
9×	`associate-l_binary64_13822` `*-un-lft-identity_binary64_13762`
6×	`associate-r_binary64_13821` `add-exp-log_binary64_13726` `add-cbrt-cube_binary64_13734` `pow1_binary64_13704` `add-cube-cbrt_binary64_13733`
2×	`difference-of-squares_binary64_13791` `associate-l/_binary64_13824` `associate-r/_binary64_13823` `unswap-sqr_binary64_13790` `*-commutative_binary64_13830` `pow-prod-down_binary64_13685` `prod-exp_binary64_13709` `flip--_binary64_13788` `cbrt-unprod_binary64_13731` `add-log-exp_binary64_13727` `sub-neg_binary64_13766` `flip3--_binary64_13761`
1×	`distribute-lft-in_binary64_13804` `distribute-lft-out--_binary64_13807` `distribute-rgt-in_binary64_13805`

Counts

2 → 45

Calls

2 calls:

8.0ms	(*.f64 (-.f64 1 y) z)
7.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

series972.0ms

Counts

2 → 6

Calls

2 calls:

110.0ms	(*.f64 (-.f64 1 y) z)
862.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	64	3600
1	64	3600
0	4757	3528
1	4757	3528
0	64	3600
1	64	3600
0	4757	3528
1	4757	3528
0	1	3
1	1	3
0	87	2373
1	87	2373
0	12	2223
1	12	2223
0	87	2373
1	87	2373
0	12	2223
1	12	2223
0	1	3
1	1	3

simplify122.0ms

Counts

51 → 51

Iterations

Useful iterations: 0 (103.0ms)

Iter	Nodes	Cost
0	4973	575
1	4973	575

prune50.0ms

Filtered

35 candidates to 51 candidates (-45.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	43	8	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	43	9	52

Merged error: 3.2b

Counts

52 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (.f64 x (-.f64 1 (.f64 (-.f64 1 y) z))))
3.1b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
3.1b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
3.1b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_13747`
10×	`add-exp-log_binary64_13726` `add-cbrt-cube_binary64_13734` `pow1_binary64_13704` `*-un-lft-identity_binary64_13762` `add-cube-cbrt_binary64_13733`
9×	`associate-l_binary64_13822` `associate-r_binary64_13821`
8×	`associate-*r/_binary64_13823`
6×	`sub-neg_binary64_13766`
4×	`flip--_binary64_13788` `add-log-exp_binary64_13727` `flip3--_binary64_13761`
3×	`distribute-lft-in_binary64_13804` `unswap-sqr_binary64_13790` `distribute-rgt-in_binary64_13805` `*-commutative_binary64_13830` `pow-prod-down_binary64_13685` `prod-exp_binary64_13709` `cbrt-unprod_binary64_13731`
2×	`cbrt-div_binary64_13730`
1×	`pow1/3_binary64_13696` `cbrt-prod_binary64_13729`

Counts

4 → 77

Calls

4 calls:

8.0ms	(cbrt.f64 (.f64 x (-.f64 1 (.f64 (-.f64 1 y) z))))
7.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
7.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
8.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

series4.0s

Counts

4 → 12

Calls

4 calls:

1.4s	(cbrt.f64 (.f64 x (-.f64 1 (.f64 (-.f64 1 y) z))))
848.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
852.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
854.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	64	3600
1	64	3600
0	4757	3528
1	4757	3528
0	64	3600
1	64	3600
0	4757	3528
1	4757	3528
0	1	3
1	1	3
0	64	3600
1	64	3600
0	4757	3528
1	4757	3528
0	64	3600
1	64	3600
0	4757	3528
1	4757	3528
0	1	3
1	1	3
0	64	3600
1	64	3600
0	4757	3528
1	4757	3528
0	64	3600
1	64	3600
0	4757	3528
1	4757	3528
0	1	3
1	1	3
0	67	3618
1	67	3618
0	3074	3546
1	3074	3546
0	67	3618
1	67	3618
0	3074	3546
1	3074	3546
0	1	3
1	1	3

simplify85.0ms

Counts

89 → 89

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4976	1286
1	4976	1286

prune128.0ms

Filtered

62 candidates to 89 candidates (-43.5%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	86	3	89
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	86	12	98

Merged error: 3.2b

Counts

98 → 12

localize19.0ms

Local error

Found 4 expressions with local error:

3.1b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
3.4b	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))
3.4b	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))
3.4b	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_13747`
9×	`cbrt-prod_binary64_13729` `*-un-lft-identity_binary64_13762` `add-cube-cbrt_binary64_13733`
6×	`add-exp-log_binary64_13726` `add-cbrt-cube_binary64_13734` `cbrt-div_binary64_13730` `pow1_binary64_13704`
4×	`flip--_binary64_13788` `add-log-exp_binary64_13727` `flip3--_binary64_13761`
3×	`pow1/3_binary64_13696` `associate-l_binary64_13822` `associate-r_binary64_13821`
2×	`associate-*r/_binary64_13823` `sub-neg_binary64_13766`
1×	`distribute-lft-in_binary64_13804` `unswap-sqr_binary64_13790` `distribute-rgt-in_binary64_13805` `*-commutative_binary64_13830` `pow-prod-down_binary64_13685` `prod-exp_binary64_13709` `cbrt-unprod_binary64_13731`

Counts

4 → 61

Calls

4 calls:

8.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
4.0ms	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))
4.0ms	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))
6.0ms	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))

series1.7s

Counts

4 → 12

Calls

4 calls:

854.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
289.0ms	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))
289.0ms	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))
295.0ms	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	57	2640
1	57	2640
0	915	2592
1	915	2592
0	57	2640
1	57	2640
0	915	2592
1	915	2592
0	1	3
1	1	3
0	57	2640
1	57	2640
0	915	2592
1	915	2592
0	57	2640
1	57	2640
0	915	2592
1	915	2592
0	1	3
1	1	3
0	57	2640
1	57	2640
0	915	2592
1	915	2592
0	57	2640
1	57	2640
0	915	2592
1	915	2592
0	1	3
1	1	3
0	64	3600
1	64	3600
0	4757	3528
1	4757	3528
0	64	3600
1	64	3600
0	4757	3528
1	4757	3528
0	1	3
1	1	3

simplify89.0ms

Counts

73 → 73

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5029	1162

prune174.0ms

Filtered

58 candidates to 73 candidates (-25.9%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	73	12	85

Merged error: 3.2b

Counts

85 → 12

localize18.0ms

Local error

Found 4 expressions with local error:

3.1b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
3.4b	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))
3.4b	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))
3.4b	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_13747`
9×	`cbrt-prod_binary64_13729` `*-un-lft-identity_binary64_13762` `add-cube-cbrt_binary64_13733`
6×	`add-exp-log_binary64_13726` `add-cbrt-cube_binary64_13734` `cbrt-div_binary64_13730` `pow1_binary64_13704`
4×	`flip--_binary64_13788` `add-log-exp_binary64_13727` `flip3--_binary64_13761`
3×	`pow1/3_binary64_13696` `associate-l_binary64_13822` `associate-r_binary64_13821`
2×	`associate-*r/_binary64_13823` `sub-neg_binary64_13766`
1×	`distribute-lft-in_binary64_13804` `unswap-sqr_binary64_13790` `distribute-rgt-in_binary64_13805` `*-commutative_binary64_13830` `pow-prod-down_binary64_13685` `prod-exp_binary64_13709` `cbrt-unprod_binary64_13731`

Counts

4 → 61

Calls

4 calls:

8.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
4.0ms	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))
4.0ms	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))
4.0ms	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))

series1.7s

Counts

4 → 12

Calls

4 calls:

865.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
283.0ms	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))
285.0ms	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))
288.0ms	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	57	2640
1	57	2640
0	915	2592
1	915	2592
0	57	2640
1	57	2640
0	915	2592
1	915	2592
0	1	3
1	1	3
0	57	2640
1	57	2640
0	915	2592
1	915	2592
0	57	2640
1	57	2640
0	915	2592
1	915	2592
0	1	3
1	1	3
0	57	2640
1	57	2640
0	915	2592
1	915	2592
0	57	2640
1	57	2640
0	915	2592
1	915	2592
0	1	3
1	1	3
0	64	3600
1	64	3600
0	4757	3528
1	4757	3528
0	64	3600
1	64	3600
0	4757	3528
1	4757	3528
0	1	3
1	1	3

simplify85.0ms

Counts

73 → 73

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5029	1162

prune155.0ms

Filtered

58 candidates to 73 candidates (-25.9%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	8	8
Picked	0	1	1
Done	0	3	3
Total	73	12	85

Merged error: 3.2b

Counts

85 → 12

regimes178.0ms

Accuracy

0% (0.1b remaining)

Error of 3.4b against oracle of 3.3b and baseline of 3.4b

bsearch0.0ms

simplify9.0ms

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	84	13
1	84	13

end0.0ms

sample424.0ms

Algorithm

intervals

Results

230.0ms	8000×	body	80	valid
19.0ms	672×	body	80	invalid

Details

analyze306.0ms

sample15.0ms

simplify54.0ms

prune1.0ms

localize6.0ms

rewrite17.0ms

series972.0ms

simplify122.0ms

prune50.0ms

localize11.0ms

rewrite35.0ms

series4.0s

simplify85.0ms

prune128.0ms

localize19.0ms

rewrite24.0ms

series1.7s

simplify89.0ms

prune174.0ms

localize18.0ms

rewrite22.0ms

series1.7s

simplify85.0ms

prune155.0ms

regimes178.0ms

bsearch0.0ms

simplify9.0ms

end0.0ms

sample424.0ms

Profiling