Details

analyze14.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
50%	12.5%	37.5%	5
50%	6.2%	43.8%	6
50%	3.1%	46.9%	7
50%	1.6%	48.5%	8
50%	1.6%	48.5%	9
50.4%	1.2%	48.5%	10
50.4%	1.2%	48.5%	11
50.4%	1.1%	48.6%	12
50.4%	1%	48.6%	13
50.5%	0.9%	48.6%	14

sample65.0ms

Algorithm

intervals

Results

32.0ms	102×	body	1280	valid
19.0ms	74×	body	640	valid
6.0ms	44×	body	320	valid
1.0ms	17×	body	160	valid
1.0ms	19×	body	80	valid

simplify114.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	4973	22
1	4973	22

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: 58.1b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

2.7b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
4.9b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity_binary64`
30×	`times-frac_binary64`
29×	`add-sqr-sqrt_binary64`
15×	`add-cube-cbrt_binary64`
7×	`distribute-lft-out_binary64` `sinh-undef_binary64` `cosh-undef_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
6×	`associate-/l*_binary64`
5×	`associate-/r*_binary64`
4×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`associate-/l/_binary64` `pow1_binary64` `flip3--_binary64` `associate-/r/_binary64` `insert-posit16` `flip--_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `tanh-undef_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64`

Counts

2 → 75

Calls

2 calls:

14.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
6.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series613.0ms

Counts

2 → 6

Calls

2 calls:

324.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
288.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	273	320
1	273	320
0	6	9
1	6	9
0	273	320
1	273	320
0	6	9
1	6	9
0	4947	36
1	4947	36
0	509	1419
1	509	1419
0	58	9
1	58	9
0	509	1419
1	509	1419
0	58	9
1	58	9
0	1	3
1	1	3

simplify148.0ms

Counts

81 → 81

Iterations

Useful iterations: 0 (118.0ms)

Iter	Nodes	Cost
0	4996	1643
1	4996	1643

prune52.0ms

Filtered

60 candidates to 81 candidates (-35.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	79	2	81
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	2	82

Merged error: 0b

Counts

82 → 2

localize2.0ms

Local error

Found 1 expressions with local error:

0.0b	(tanh.f64 x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `tanh-def-a_binary64` `tanh-def-b_binary64` `insert-posit16` `tanh-def-c_binary64`

Counts

1 → 11

Calls

1 calls:

1.0ms

(tanh.f64 x)

series248.0ms

Counts

1 → 3

Calls

1 calls:

248.0ms

(tanh.f64 x)

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	40	1603
1	40	1603
0	5007	1588
0	40	1603
1	40	1603
0	5007	1588
0	11	3
1	11	3

simplify88.0ms

Counts

14 → 14

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	5266	107

prune8.0ms

Filtered

12 candidates to 14 candidates (-16.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	14	2	16

Merged error: 0b

Counts

16 → 2

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(tanh.f64 x)
0.0b	(pow.f64 (tanh.f64 x) 3)
37.1b	(cbrt.f64 (pow.f64 (tanh.f64 x) 3))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`cube-div_binary64` `unpow-prod-down_binary64` `cube-prod_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`cbrt-div_binary64` `pow-unpow_binary64` `add-log-exp_binary64` `tanh-def-a_binary64` `tanh-def-b_binary64` `insert-posit16` `tanh-def-c_binary64`
2×	`sqr-pow_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `rem-cbrt-cube_binary64` `pow1/3_binary64` `pow-pow_binary64` `rem-cube-cbrt_binary64` `pow-exp_binary64`

Counts

3 → 63

Calls

3 calls:

1.0ms	(tanh.f64 x)
3.0ms	(pow.f64 (tanh.f64 x) 3)
4.0ms	(cbrt.f64 (pow.f64 (tanh.f64 x) 3))

series785.0ms

Counts

3 → 9

Calls

3 calls:

254.0ms	(tanh.f64 x)
295.0ms	(pow.f64 (tanh.f64 x) 3)
236.0ms	(cbrt.f64 (pow.f64 (tanh.f64 x) 3))

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	57	1648
1	57	1648
0	5795	1588
0	57	1648
1	57	1648
0	5795	1588
0	11	3
1	11	3
0	271	1630
1	271	1630
0	5768	1612
0	271	1630
1	271	1630
0	5768	1612
0	10	3
1	10	3
0	40	1603
1	40	1603
0	5007	1588
0	40	1603
1	40	1603
0	5007	1588
0	11	3
1	11	3

simplify79.0ms

Counts

72 → 72

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5857	595

prune29.0ms

Filtered

44 candidates to 72 candidates (-63.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	72	2	74

Merged error: 0b

Counts

74 → 2

regimes8.0ms

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 (2.0ms)

Iter	Nodes	Cost
0	3	3
1	3	3

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.0s	3278×	body	1280	valid
502.0ms	2486×	body	640	valid
156.0ms	1230×	body	320	valid
47.0ms	603×	body	160	valid
17.0ms	403×	body	80	valid

Details

analyze14.0ms

sample65.0ms

simplify114.0ms

prune1.0ms

localize7.0ms

rewrite23.0ms

series613.0ms

simplify148.0ms

prune52.0ms

localize2.0ms

rewrite1.0ms

series248.0ms

simplify88.0ms

prune8.0ms

localize5.0ms

rewrite10.0ms

series785.0ms

simplify79.0ms

prune29.0ms

regimes8.0ms

bsearch0.0ms

simplify6.0ms

end0.0ms

sample1.9s

Profiling