Details

analyze693.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	50%	0%	4
50%	50%	0%	5
50%	50%	0%	6
50%	50%	0%	7
50%	50%	0%	8
50%	50%	0%	9
50%	50%	0%	10
50%	50%	0%	11
50%	50%	0%	12
50%	50%	0%	13
50%	49.9%	0.1%	14

sample190.0ms

Algorithm

intervals

Results

67.0ms	45×	body	5120	exit
49.0ms	97×	body	1280	valid
26.0ms	80×	body	640	valid
13.0ms	34×	body	1280	nan
9.0ms	22×	body	640	nan
7.0ms	34×	body	320	valid
4.0ms	27×	body	160	valid
2.0ms	12×	body	320	nan
1.0ms	18×	body	80	valid
1.0ms	13×	body	80	nan
1.0ms	4×	body	160	nan

simplify161.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (145.0ms)

Iter	Nodes	Cost
0	4668	15
1	4668	15

prune4.0ms

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: 59.1b

Counts

2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
0.0b	(sqrt.f64 (cos.f64 x))
6.2b	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
9×	`times-frac_binary64`
5×	`add-cbrt-cube_binary64`
4×	`pow1_binary64` `add-exp-log_binary64`
3×	`associate-/r_binary64` `add-log-exp_binary64` `associate-/l_binary64` `insert-posit16` `sqrt-prod_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`

Counts

3 → 50

Calls

3 calls:

5.0ms	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
2.0ms	(sqrt.f64 (cos.f64 x))
1.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

series1.1s

Counts

3 → 9

Calls

3 calls:

531.0ms	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
303.0ms	(sqrt.f64 (cos.f64 x))
280.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	64	1688
1	64	1688
0	54	1665
1	54	1665
0	64	1688
1	64	1688
0	54	1665
1	54	1665
0	4893	71
1	4893	71
0	339	477
1	339	477
0	23	15
1	23	15
0	339	477
1	339	477
0	23	15
1	23	15
0	4971	42
1	4971	42
0	429	1755
1	429	1755
0	5119	1723
0	429	1755
1	429	1755
0	5119	1723
0	5094	87

simplify135.0ms

Counts

59 → 59

Iterations

Useful iterations: 0 (109.0ms)

Iter	Nodes	Cost
0	4971	1069
1	4971	1069

prune54.0ms

Filtered

50 candidates to 59 candidates (-18.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	55	4	59
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	57	4	61

Merged error: 54.3b

Counts

61 → 4

localize6.0ms

Local error

Found 1 expressions with local error:

5.7b	(*.f64 (fmod.f64 1 1) (+.f64 1 (pow.f64 x 3)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
4×	`associate-r_binary64`
3×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`associate-*r/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `insert-posit16` `flip-+_binary64` `*-commutative_binary64`

Counts

1 → 24

Calls

1 calls:

10.0ms

(*.f64 (fmod.f64 1 1) (+.f64 1 (pow.f64 x 3)))

series503.0ms

Counts

1 → 3

Calls

1 calls:

503.0ms

(*.f64 (fmod.f64 1 1) (+.f64 1 (pow.f64 x 3)))

Iterations

Useful iterations: 0 (138.0ms)

Iter	Nodes	Cost
0	498	1687
1	498	1687
0	6077	1659
0	498	1687
1	498	1687
0	6077	1659
0	4924	59
1	4924	59

simplify91.0ms

Counts

27 → 27

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5007	419

prune22.0ms

Filtered

19 candidates to 27 candidates (-42.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	27	4	31

Merged error: 54.3b

Counts

31 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))
2.6b	(-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
3.5b	(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
6.2b	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity_binary64`
12×	`add-sqr-sqrt_binary64`
9×	`log-prod_binary64`
8×	`add-cube-cbrt_binary64`
7×	`add-log-exp_binary64` `pow1_binary64`
6×	`associate--l+_binary64` `exp-prod_binary64`
5×	`add-exp-log_binary64`
4×	`add-cbrt-cube_binary64` `exp-sum_binary64` `distribute-lft-out--_binary64` `insert-posit16`
3×	`log-pow_binary64`
2×	`sub-neg_binary64` `diff-log_binary64` `rem-exp-log_binary64` `difference-of-squares_binary64`
1×	`flip3--_binary64` `rem-log-exp_binary64` `exp-diff_binary64` `flip--_binary64`

Counts

4 → 60

Calls

4 calls:

7.0ms	(exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))
7.0ms	(-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
1.0ms	(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
1.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

series1.7s

Counts

4 → 12

Calls

4 calls:

510.0ms	(exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))
284.0ms	(-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
663.0ms	(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
275.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

Iterations

Useful iterations: 0 (113.0ms)

Iter	Nodes	Cost
0	64	1688
1	64	1688
0	54	1665
1	54	1665
0	64	1688
1	64	1688
0	54	1665
1	54	1665
0	4893	71
1	4893	71
0	137	1706
1	137	1706
0	4898	1683
1	4898	1683
0	137	1706
1	137	1706
0	4898	1683
1	4898	1683
0	4895	77
1	4895	77
0	289	1751
1	289	1751
0	72	1697
1	72	1697
0	289	1751
1	289	1751
0	72	1697
1	72	1697
0	4973	59
1	4973	59
0	339	1773
1	339	1773
0	5539	1723
0	339	1773
1	339	1773
0	5539	1723
0	4965	87
1	4965	87

simplify119.0ms

Counts

72 → 72

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	5011	1332

prune63.0ms

Filtered

59 candidates to 72 candidates (-22.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	68	4	72
Fresh	1	1	2
Picked	1	0	1
Done	1	0	1
Total	71	5	76

Merged error: 48.5b

Counts

76 → 5

localize9.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify19.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	4	4
Picked	1	1
Done	0	0
Total	5	5

Merged error: 48.5b

Counts

5 → 5

Details

analyze693.0ms

sample190.0ms

simplify161.0ms

prune4.0ms

localize7.0ms

rewrite9.0ms

series1.1s

simplify135.0ms

prune54.0ms

localize6.0ms

rewrite11.0ms

series503.0ms

simplify91.0ms

prune22.0ms

localize9.0ms

rewrite17.0ms

series1.7s

simplify119.0ms

prune63.0ms

localize9.0ms

rewrite0.0ms

series0.0ms

simplify19.0ms

prune0.0ms

regimes21.0ms

bsearch15.0ms

Profiling