Details

analyze4.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

sample90.0ms

Algorithm

intervals

Results

55.0ms	117×	body	1280	valid
21.0ms	81×	body	640	valid
6.0ms	35×	body	320	valid
2.0ms	20×	body	160	valid
0.0ms	3×	body	80	valid

simplify269.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (250.0ms)

Iter	Nodes	Cost
0	5130	12

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: 59.2b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
5.1b	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

78×	`*-un-lft-identity_binary64`
52×	`add-sqr-sqrt_binary64`
48×	`times-frac_binary64`
30×	`log-prod_binary64`
25×	`add-cube-cbrt_binary64`
18×	`difference-of-squares_binary64`
13×	`distribute-lft-out_binary64`
9×	`distribute-lft-out--_binary64`
7×	`add-exp-log_binary64`
6×	`associate-/l*_binary64`
4×	`associate-/r*_binary64` `add-cbrt-cube_binary64` `associate-/r/_binary64`
3×	`pow1_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `add-log-exp_binary64` `rem-log-exp_binary64` `div-inv_binary64` `div-exp_binary64` `insert-posit16` `flip-+_binary64`
1×	`flip3--_binary64` `cbrt-undiv_binary64` `log-pow_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `log-div_binary64` `flip--_binary64`

Counts

2 → 94

Calls

2 calls:

10.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
10.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

series1.2s

Counts

2 → 6

Calls

2 calls:

556.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
654.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

Iterations

Useful iterations: 0 (124.0ms)

Iter	Nodes	Cost
0	5204	1041
0	5204	1041
0	5127	11
0	4984	682
1	4984	682
0	4984	682
1	4984	682
0	5544	15

simplify67.0ms

Counts

100 → 100

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5016	1841

prune79.0ms

Filtered

62 candidates to 100 candidates (-61.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	97	3	100
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	98	3	101

Merged error: 0.1b

Counts

101 → 3

localize4.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify20.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	0	0

prune2.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	0	0
Total	3	3

Merged error: 0.1b

Counts

3 → 3

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (+.f64 1 eps) (-.f64 1 eps))
0.0b	(/.f64 1 (/.f64 (+.f64 1 eps) (-.f64 1 eps)))
5.1b	(log.f64 (/.f64 1 (/.f64 (+.f64 1 eps) (-.f64 1 eps))))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

372×	`times-frac_binary64`
351×	`*-un-lft-identity_binary64`
253×	`add-sqr-sqrt_binary64`
154×	`add-cube-cbrt_binary64`
95×	`log-prod_binary64`
66×	`difference-of-squares_binary64`
49×	`distribute-lft-out_binary64`
36×	`associate-/r*_binary64`
33×	`distribute-lft-out--_binary64`
28×	`add-exp-log_binary64`
18×	`associate-/r/_binary64`
15×	`div-exp_binary64`
10×	`add-cbrt-cube_binary64` `div-inv_binary64`
8×	`flip3--_binary64` `flip--_binary64`
7×	`rem-log-exp_binary64` `associate-/l*_binary64`
6×	`pow1_binary64`
4×	`1-exp_binary64` `cbrt-undiv_binary64` `rec-exp_binary64`
3×	`add-log-exp_binary64` `log-pow_binary64` `insert-posit16`
2×	`associate-/l/_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `pow-flip_binary64`
1×	`flip3-+_binary64` `log-rec_binary64` `log-div_binary64` `flip-+_binary64`

Counts

3 → 311

Calls

3 calls:

11.0ms	(/.f64 (+.f64 1 eps) (-.f64 1 eps))
19.0ms	(/.f64 1 (/.f64 (+.f64 1 eps) (-.f64 1 eps)))
18.0ms	(log.f64 (/.f64 1 (/.f64 (+.f64 1 eps) (-.f64 1 eps))))

series2.2s

Counts

3 → 9

Calls

3 calls:

610.0ms	(/.f64 (+.f64 1 eps) (-.f64 1 eps))
700.0ms	(/.f64 1 (/.f64 (+.f64 1 eps) (-.f64 1 eps)))
850.0ms	(log.f64 (/.f64 1 (/.f64 (+.f64 1 eps) (-.f64 1 eps))))

Iterations

Useful iterations: 0 (123.0ms)

Iter	Nodes	Cost
0	4355	1041
1	4355	1041
0	4355	1041
1	4355	1041
0	5127	11
0	4457	682
1	4457	682
0	4457	682
1	4457	682
0	5544	15
0	4468	686
1	4468	686
0	4468	686
1	4468	686
0	5045	15

simplify153.0ms

Counts

320 → 320

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	5174	7478

prune189.0ms

Filtered

155 candidates to 320 candidates (-106.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	318	2	320
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	320	3	323

Merged error: 0.1b

Counts

323 → 3

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (neg.f64 (log.f64 (/.f64 (+.f64 1 eps) (-.f64 1 (*.f64 eps eps))))) (neg.f64 (log.f64 (+.f64 1 eps))))
5.2b	(log.f64 (/.f64 (+.f64 1 eps) (-.f64 1 (*.f64 eps eps))))
5.2b	(log.f64 (+.f64 1 eps))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

73×	`*-un-lft-identity_binary64`
60×	`log-prod_binary64`
40×	`times-frac_binary64`
33×	`add-sqr-sqrt_binary64`
30×	`distribute-neg-in_binary64`
26×	`distribute-lft-out_binary64` `associate-+l+_binary64`
25×	`add-cube-cbrt_binary64`
16×	`difference-of-squares_binary64`
15×	`pow1_binary64`
12×	`log-pow_binary64` `distribute-rgt-neg-in_binary64`
8×	`distribute-lft-neg-in_binary64`
7×	`add-log-exp_binary64` `add-exp-log_binary64`
4×	`associate-/r/_binary64` `neg-log_binary64` `associate-+r+_binary64` `sum-log_binary64`
3×	`rem-log-exp_binary64` `add-cbrt-cube_binary64` `log-div_binary64` `insert-posit16`
2×	`flip3-+_binary64` `flip3--_binary64` `neg-sub0_binary64` `neg-mul-1_binary64` `div-inv_binary64` `flip--_binary64` `flip-+_binary64`
1×	`associate-+r-_binary64` `distribute-neg-out_binary64` `associate-+l-_binary64` `div-exp_binary64` `+-commutative_binary64` `unsub-neg_binary64`

Counts

3 → 117

Calls

3 calls:

26.0ms	(+.f64 (neg.f64 (log.f64 (/.f64 (+.f64 1 eps) (-.f64 1 (*.f64 eps eps))))) (neg.f64 (log.f64 (+.f64 1 eps))))
9.0ms	(log.f64 (/.f64 (+.f64 1 eps) (-.f64 1 (*.f64 eps eps))))
4.0ms	(log.f64 (+.f64 1 eps))

series2.1s

Counts

3 → 9

Calls

3 calls:

934.0ms	(+.f64 (neg.f64 (log.f64 (/.f64 (+.f64 1 eps) (-.f64 1 (*.f64 eps eps))))) (neg.f64 (log.f64 (+.f64 1 eps))))
918.0ms	(log.f64 (/.f64 (+.f64 1 eps) (-.f64 1 (*.f64 eps eps))))
250.0ms	(log.f64 (+.f64 1 eps))

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	454	303
1	454	303
0	454	303
1	454	303
0	5099	14
0	3531	1224
1	3531	1224
0	3531	1224
1	3531	1224
0	5163	17
0	3459	1442
1	3459	1442
0	3459	1442
1	3459	1442
0	5240	17

simplify145.0ms

Counts

126 → 126

Iterations

Useful iterations: 0 (107.0ms)

Iter	Nodes	Cost
0	4921	2544
1	4921	2544

prune104.0ms

Filtered

85 candidates to 126 candidates (-48.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	125	1	126
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	126	3	129

Merged error: 0.1b

Counts

129 → 3

regimes12.0ms

Accuracy

0% (0.4b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	9
1	11	9

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.6s	3460×	body	1280	valid
612.0ms	2477×	body	640	valid
187.0ms	1249×	body	320	valid
58.0ms	608×	body	160	valid
9.0ms	206×	body	80	valid

Details

analyze4.0ms

sample90.0ms

simplify269.0ms

prune2.0ms

localize5.0ms

rewrite26.0ms

series1.2s

simplify67.0ms

prune79.0ms

localize4.0ms

rewrite0.0ms

series0.0ms

simplify20.0ms

prune2.0ms

localize6.0ms

rewrite73.0ms

series2.2s

simplify153.0ms

prune189.0ms

localize10.0ms

rewrite46.0ms

series2.1s

simplify145.0ms

prune104.0ms

regimes12.0ms

bsearch0.0ms

simplify6.0ms

end0.0ms

sample2.6s

Profiling