Details

analyze465.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
25%	62.5%	12.5%	4
25%	56.2%	18.8%	5
28.1%	50%	21.9%	6
29.7%	46.9%	23.5%	7
30.5%	45.3%	24.3%	8
30.8%	44.9%	24.3%	9
31.2%	44.5%	24.3%	10
31.3%	44.3%	24.4%	11
31.4%	44.3%	24.4%	12
31.4%	44%	24.5%	13
31.5%	43.8%	24.8%	14

sample61.0ms

Algorithm

intervals

Results

33.0ms	78×	body	1280	valid
9.0ms	40×	body	640	valid
4.0ms	99×	body	80	valid
4.0ms	28×	body	320	valid
1.0ms	11×	body	160	valid

simplify173.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	4977	8
1	4977	8

prune7.0ms

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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))
0.0b	(+.f64 1 (exp.f64 x))

rewrite225.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64`
4×	`add-log-exp_binary64` `add-sqr-sqrt_binary64` `sqrt-prod_binary64`
3×	`pow1_binary64` `add-cube-cbrt_binary64`
2×	`flip3-+_binary64` `distribute-lft-out_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `insert-posit16` `flip-+_binary64` `sqrt-div_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

2 → 30

Calls

2 calls:

4.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))
218.0ms	(+.f64 1 (exp.f64 x))

series217.0ms

Counts

2 → 6

Calls

2 calls:

120.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))
97.0ms	(+.f64 1 (exp.f64 x))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	232	9
1	232	9
0	232	9
1	232	9
0	1	3
1	1	3
0	389	9
1	389	9
0	389	9
1	389	9
0	1	3
1	1	3

simplify121.0ms

Counts

36 → 36

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	5335	331

prune21.0ms

Filtered

26 candidates to 36 candidates (-38.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	34	2	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	3	37

Merged error: 0b

Counts

37 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (exp.f64 x) 2)
0.0b	(pow.f64 (exp.f64 x) 3)
0.3b	(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
4.4b	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

62×	`*-un-lft-identity_binary64`
28×	`add-sqr-sqrt_binary64`
22×	`add-cube-cbrt_binary64`
20×	`times-frac_binary64`
16×	`distribute-lft-out_binary64`
8×	`pow-pow_binary64`
7×	`add-cbrt-cube_binary64` `unpow-prod-down_binary64`
6×	`pow-unpow_binary64` `add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64` `distribute-lft-out--_binary64` `exp-prod_binary64`
5×	`associate-/r*_binary64`
4×	`difference-of-squares_binary64` `associate-/l*_binary64` `insert-posit16`
3×	`unpow2_binary64` `sqr-pow_binary64` `cube-prod_binary64`
2×	`pow-to-exp_binary64` `flip3-+_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `flip-+_binary64` `pow-exp_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `distribute-rgt-out--_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `rem-cube-cbrt_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

4 → 113

Calls

4 calls:

4.0ms	(pow.f64 (exp.f64 x) 2)
4.0ms	(pow.f64 (exp.f64 x) 3)
22.0ms	(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
8.0ms	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))

series3.3s

Counts

4 → 12

Calls

4 calls:

743.0ms	(pow.f64 (exp.f64 x) 2)
809.0ms	(pow.f64 (exp.f64 x) 3)
923.0ms	(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
791.0ms	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	27069	9
0	27069	9
0	1	3
1	1	3
0	27763	9
0	27763	9
0	1	3
1	1	3
0	27084	9
0	27084	9
0	1	3
1	1	3
0	27024	9
0	27024	9
0	1	3
1	1	3

simplify146.0ms

Counts

125 → 125

Iterations

Useful iterations: 0 (107.0ms)

Iter	Nodes	Cost
0	4984	2257
1	4984	2257

prune101.0ms

Filtered

76 candidates to 125 candidates (-64.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	125	3	128

Merged error: 0b

Counts

128 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (exp.f64 x))
0.0b	(sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3)))
0.0b	(pow.f64 (+.f64 1 (exp.f64 x)) 3)
0.3b	(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

32×	`cbrt-prod_binary64`
28×	`*-un-lft-identity_binary64`
18×	`add-sqr-sqrt_binary64`
17×	`sqrt-prod_binary64`
14×	`add-cube-cbrt_binary64`
13×	`unpow-prod-down_binary64` `cube-prod_binary64`
7×	`distribute-lft-out_binary64`
6×	`add-log-exp_binary64` `pow1_binary64` `cube-div_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `rem-sqrt-square_binary64`
4×	`cbrt-div_binary64` `flip3-+_binary64` `sqr-pow_binary64` `insert-posit16` `flip-+_binary64`
3×	`pow-unpow_binary64` `unpow3_binary64` `cube-mult_binary64`
2×	`pow1/3_binary64` `sqrt-pow1_binary64` `sqrt-div_binary64`
1×	`pow-to-exp_binary64` `pow1/2_binary64` `rem-cbrt-cube_binary64` `pow-pow_binary64` `rem-cube-cbrt_binary64` `+-commutative_binary64` `pow-exp_binary64` `sum-log_binary64`

Counts

4 → 102

Calls

4 calls:

4.0ms	(+.f64 1 (exp.f64 x))
8.0ms	(sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3)))
6.0ms	(pow.f64 (+.f64 1 (exp.f64 x)) 3)
9.0ms	(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3))

series1.0s

Counts

4 → 12

Calls

4 calls:

91.0ms	(+.f64 1 (exp.f64 x))
57.0ms	(sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3)))
838.0ms	(pow.f64 (+.f64 1 (exp.f64 x)) 3)
52.0ms	(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	31	9
1	31	9
0	31	9
1	31	9
0	1	3
1	1	3
0	27402	9
0	27402	9
0	1	3
1	1	3
0	193	9
1	193	9
0	193	9
1	193	9
0	1	3
1	1	3
0	232	9
1	232	9
0	232	9
1	232	9
0	1	3
1	1	3

simplify100.0ms

Counts

114 → 114

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5050	1225

prune52.0ms

Filtered

63 candidates to 114 candidates (-81.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	114	3	117

Merged error: 0b

Counts

117 → 3

regimes12.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	8
1	9	8

end0.0ms

sample1.6s

Algorithm

intervals

Results

823.0ms	2303×	body	1280	valid
361.0ms	1617×	body	640	valid
124.0ms	2864×	body	80	valid
120.0ms	821×	body	320	valid
38.0ms	395×	body	160	valid
0.0ms	4×	body	80	invalid

Details

analyze465.0ms

sample61.0ms

simplify173.0ms

prune7.0ms

localize6.0ms

rewrite225.0ms

series217.0ms

simplify121.0ms

prune21.0ms

localize10.0ms

rewrite42.0ms

series3.3s

simplify146.0ms

prune101.0ms

localize7.0ms

rewrite31.0ms

series1.0s

simplify100.0ms

prune52.0ms

regimes12.0ms

bsearch0.0ms

simplify6.0ms

end0.0ms

sample1.6s

Profiling