Details

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	25%	25%	3
62.5%	12.5%	25%	4
68.7%	6.2%	25%	5
71.8%	3.1%	25%	6
73.4%	1.6%	25%	7
74.2%	0.8%	25%	8
74.6%	0.4%	25%	9
74.8%	0.2%	25%	10
74.9%	0.1%	25%	11
74.9%	0%	25%	12
74.9%	0%	25%	13
74.9%	0%	25%	14

sample11.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify20.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	11	12
1	11	12

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: 0.2b

Counts

2 → 1

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt.f64 (+.f64 x 1))
0.0b	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
0.2b	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity_binary64`
26×	`add-sqr-sqrt_binary64`
21×	`distribute-lft-out_binary64`
18×	`times-frac_binary64`
15×	`add-cube-cbrt_binary64`
14×	`sqrt-prod_binary64`
6×	`associate-/r*_binary64`
5×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`pow1_binary64`
3×	`flip3-+_binary64` `associate-/l*_binary64` `insert-posit16` `flip-+_binary64`
2×	`associate-/r/_binary64` `sqrt-div_binary64`
1×	`pow1/2_binary64` `cbrt-undiv_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

3 → 74

Calls

3 calls:

4.0ms	(sqrt.f64 (+.f64 x 1))
12.0ms	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
10.0ms	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

series943.0ms

Counts

3 → 9

Calls

3 calls:

273.0ms	(sqrt.f64 (+.f64 x 1))
304.0ms	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
365.0ms	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	435	831
1	435	831
0	60	721
1	60	721
0	435	831
1	435	831
0	60	721
1	60	721
0	4074	21
1	4074	21
0	274	289
1	274	289
0	28	19
1	28	19
0	274	289
1	274	289
0	28	19
1	28	19
0	4817	56
1	4817	56
0	248	271
1	248	271
0	11	9
1	11	9
0	248	271
1	248	271
0	11	9
1	11	9
0	77	39
1	77	39

simplify109.0ms

Counts

83 → 83

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	5419	1186

prune56.0ms

Filtered

58 candidates to 83 candidates (-43.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	81	2	83
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	81	3	84

Merged error: 0b

Counts

84 → 3

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 x 1))
0.0b	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
0.1b	(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
0.1b	(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

70×	`*-un-lft-identity_binary64`
51×	`add-sqr-sqrt_binary64`
38×	`times-frac_binary64`
33×	`distribute-lft-out_binary64`
27×	`add-cube-cbrt_binary64`
24×	`associate-r_binary64`
20×	`sqrt-prod_binary64`
17×	`add-exp-log_binary64`
11×	`add-cbrt-cube_binary64`
8×	`pow1_binary64`
6×	`associate-/r*_binary64` `add-log-exp_binary64`
4×	`flip3-+_binary64` `associate-/r/_binary64` `prod-exp_binary64` `div-exp_binary64` `insert-posit16` `flip-+_binary64`
3×	`associate-l_binary64` `unswap-sqr_binary64` `associate-/l*_binary64`
2×	`cbrt-unprod_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `rec-exp_binary64` `div-inv_binary64` `sqrt-div_binary64`
1×	`pow-prod-down_binary64` `pow1/2_binary64` `associate-r/_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `un-div-inv_binary64` `+-commutative_binary64` `pow-flip_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

4 → 126

Calls

4 calls:

4.0ms	(sqrt.f64 (+.f64 x 1))
7.0ms	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
20.0ms	(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
10.0ms	(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))

series1.5s

Counts

4 → 12

Calls

4 calls:

277.0ms	(sqrt.f64 (+.f64 x 1))
302.0ms	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
361.0ms	(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
575.0ms	(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	432	775
1	432	775
0	5164	539
0	432	775
1	432	775
0	5164	539
0	4819	75
1	4819	75
0	517	915
1	517	915
0	17	9
1	17	9
0	517	915
1	517	915
0	17	9
1	17	9
0	5416	15
0	274	289
1	274	289
0	28	19
1	28	19
0	274	289
1	274	289
0	28	19
1	28	19
0	4817	56
1	4817	56
0	248	271
1	248	271
0	11	9
1	11	9
0	248	271
1	248	271
0	11	9
1	11	9
0	77	39
1	77	39

simplify131.0ms

Counts

138 → 138

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	4897	1877
1	4897	1877

prune88.0ms

Filtered

90 candidates to 138 candidates (-53.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	138	3	141

Merged error: 0b

Counts

141 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 x 1))
0.0b	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
0.0b	(/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
0.2b	(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

119×	`*-un-lft-identity_binary64`
92×	`add-sqr-sqrt_binary64`
79×	`sqrt-prod_binary64`
76×	`times-frac_binary64`
57×	`distribute-lft-out_binary64`
47×	`add-cube-cbrt_binary64`
42×	`associate-r_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`pow1_binary64`
6×	`associate-/r_binary64` `add-log-exp_binary64` `associate-l_binary64` `unswap-sqr_binary64` `associate-/l_binary64`
4×	`flip3-+_binary64` `associate-/r/_binary64` `insert-posit16` `flip-+_binary64`
2×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `sqrt-div_binary64`
1×	`pow-prod-down_binary64` `pow1/2_binary64` `associate-r/_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

4 → 164

Calls

4 calls:

4.0ms	(sqrt.f64 (+.f64 x 1))
7.0ms	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
11.0ms	(/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
24.0ms	(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))

series1.3s

Counts

4 → 12

Calls

4 calls:

276.0ms	(sqrt.f64 (+.f64 x 1))
300.0ms	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
391.0ms	(/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
325.0ms	(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	690	1341
1	690	1341
0	177	663
1	177	663
0	690	1341
1	690	1341
0	177	663
1	177	663
0	1	3
1	1	3
0	566	1034
1	566	1034
0	4963	703
1	4963	703
0	566	1034
1	566	1034
0	4963	703
1	4963	703
0	1016	210
1	1016	210
0	274	289
1	274	289
0	28	19
1	28	19
0	274	289
1	274	289
0	28	19
1	28	19
0	4817	56
1	4817	56
0	248	271
1	248	271
0	11	9
1	11	9
0	248	271
1	248	271
0	11	9
1	11	9
0	77	39
1	77	39

simplify213.0ms

Counts

176 → 176

Iterations

Useful iterations: 0 (169.0ms)

Iter	Nodes	Cost
0	4855	3095
1	4855	3095

prune101.0ms

Filtered

99 candidates to 176 candidates (-77.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	176	0	176
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	176	3	179

Merged error: 0b

Counts

179 → 3

regimes22.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	15
1	13	15

end0.0ms

sample296.0ms

Algorithm

intervals

Results

208.0ms	7997×	body	80	valid
0.0ms	3×	body	1280	valid

Details

analyze3.0ms

sample11.0ms

simplify20.0ms

prune1.0ms

localize5.0ms

rewrite30.0ms

series943.0ms

simplify109.0ms

prune56.0ms

localize6.0ms

rewrite47.0ms

series1.5s

simplify131.0ms

prune88.0ms

localize7.0ms

rewrite56.0ms

series1.3s

simplify213.0ms

prune101.0ms

regimes22.0ms

bsearch0.0ms

simplify6.0ms

end0.0ms

sample296.0ms

Profiling