Details

analyze4.0ms

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%	0.8%	49.2%	9
50.4%	0.4%	49.2%	10
50.4%	0.2%	49.4%	11
50.4%	0.1%	49.5%	12
50.4%	0%	49.6%	13
50.4%	0%	49.6%	14

sample65.0ms

Algorithm

intervals

Results

34.0ms	110×	body	1280	valid
20.0ms	86×	body	640	valid
4.0ms	37×	body	320	valid
1.0ms	17×	body	160	valid
0.0ms	6×	body	80	valid

simplify92.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4882	13
1	4882	13

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: 58.7b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

5.2b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `add-sqr-sqrt_binary64`
1×	`sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `diff-log_binary64` `sinh-undef_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `insert-posit16` `flip--_binary64`

Counts

1 → 15

Calls

1 calls:

6.0ms

(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series239.0ms

Counts

1 → 3

Calls

1 calls:

239.0ms

(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Iterations

Useful iterations: 0 (114.0ms)

Iter	Nodes	Cost
0	305	461
1	305	461
0	305	461
1	305	461
0	4817	3
1	4817	3

simplify152.0ms

Counts

18 → 18

Iterations

Useful iterations: 0 (135.0ms)

Iter	Nodes	Cost
0	4916	228
1	4916	228

prune24.0ms

Filtered

14 candidates to 18 candidates (-28.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	16	2	18
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	17	2	19

Merged error: 0.0b

Counts

19 → 2

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(sinh.f64 x)

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

1×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `sinh-def_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `insert-posit16`

Counts

1 → 9

Calls

1 calls:

1.0ms

(sinh.f64 x)

series166.0ms

Counts

1 → 3

Calls

1 calls:

166.0ms

(sinh.f64 x)

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	41	1602
1	41	1602
0	41	1602
1	41	1602
0	5420	3

simplify116.0ms

Counts

12 → 12

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	4964	61
1	4964	61

prune9.0ms

Filtered

10 candidates to 12 candidates (-20.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	11	1	12
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	11	3	14

Merged error: 0b

Counts

14 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (sinh.f64 x)) (cbrt.f64 (sinh.f64 x)))
0.6b	(cbrt.f64 (sinh.f64 x))
0.6b	(cbrt.f64 (sinh.f64 x))
0.6b	(cbrt.f64 (sinh.f64 x))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
7×	`cbrt-div_binary64` `sinh-def_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `insert-posit16`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `associate-r/_binary64` `pow-plus_binary64` `prod-exp_binary64` `frac-times_binary64` `pow2_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 83

Calls

4 calls:

8.0ms	(*.f64 (cbrt.f64 (sinh.f64 x)) (cbrt.f64 (sinh.f64 x)))
2.0ms	(cbrt.f64 (sinh.f64 x))
2.0ms	(cbrt.f64 (sinh.f64 x))
2.0ms	(cbrt.f64 (sinh.f64 x))

series851.0ms

Counts

4 → 12

Calls

4 calls:

251.0ms	(*.f64 (cbrt.f64 (sinh.f64 x)) (cbrt.f64 (sinh.f64 x)))
198.0ms	(cbrt.f64 (sinh.f64 x))
201.0ms	(cbrt.f64 (sinh.f64 x))
200.0ms	(cbrt.f64 (sinh.f64 x))

Iterations

Useful iterations: 0 (135.0ms)

Iter	Nodes	Cost
0	49	1620
1	49	1620
0	49	1620
1	49	1620
0	5660	14
0	49	1620
1	49	1620
0	49	1620
1	49	1620
0	5660	14
0	49	1620
1	49	1620
0	49	1620
1	49	1620
0	5660	14
0	523	1647
1	523	1647
0	523	1647
1	523	1647
0	4999	17
1	4999	17

simplify81.0ms

Counts

95 → 95

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4948	932
1	4948	932

prune67.0ms

Filtered

74 candidates to 95 candidates (-28.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	94	1	95
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	95	3	98

Merged error: 0b

Counts

98 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh.f64 x)
0.3b	(.f64 (pow.f64 (.f64 (sinh.f64 x) (sinh.f64 x)) 1/3) (cbrt.f64 (sinh.f64 x)))
0.6b	(cbrt.f64 (sinh.f64 x))
33.0b	(pow.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) 1/3)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
15×	`add-exp-log_binary64`
12×	`pow1_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `cbrt-prod_binary64`
6×	`associate-r_binary64` `pow-pow_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
5×	`add-cbrt-cube_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `sqr-pow_binary64` `unpow-prod-down_binary64` `insert-posit16` `pow-exp_binary64`
3×	`pow-unpow_binary64` `sinh-def_binary64`
2×	`cbrt-div_binary64` `pow-to-exp_binary64` `pow-prod-down_binary64` `cbrt-unprod_binary64` `pow1/3_binary64` `unpow1/3_binary64`
1×	`pow-prod-up_binary64` `associate-r/_binary64` `pow-plus_binary64` `pow-sqr_binary64` `pow2_binary64` `-commutative_binary64`

Counts

4 → 79

Calls

4 calls:

1.0ms	(sinh.f64 x)
9.0ms	(.f64 (pow.f64 (.f64 (sinh.f64 x) (sinh.f64 x)) 1/3) (cbrt.f64 (sinh.f64 x)))
2.0ms	(cbrt.f64 (sinh.f64 x))
7.0ms	(pow.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) 1/3)

series877.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(sinh.f64 x)
280.0ms	(.f64 (pow.f64 (.f64 (sinh.f64 x) (sinh.f64 x)) 1/3) (cbrt.f64 (sinh.f64 x)))
197.0ms	(cbrt.f64 (sinh.f64 x))
234.0ms	(pow.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) 1/3)

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	944	1656
1	944	1656
0	944	1656
1	944	1656
0	49	14
1	49	14
0	49	1620
1	49	1620
0	49	1620
1	49	1620
0	5660	14
0	1074	1749
1	1074	1749
0	1074	1749
1	1074	1749
0	48	18
1	48	18
0	41	1602
1	41	1602
0	41	1602
1	41	1602
0	5420	3

simplify139.0ms

Counts

91 → 91

Iterations

Useful iterations: 0 (112.0ms)

Iter	Nodes	Cost
0	5299	1032

prune62.0ms

Filtered

67 candidates to 91 candidates (-35.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	91	3	94

Merged error: 0b

Counts

94 → 3

regimes9.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	9
1	7	9

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.1s	3427×	body	1280	valid
457.0ms	2422×	body	640	valid
146.0ms	1247×	body	320	valid
46.0ms	623×	body	160	valid
13.0ms	281×	body	80	valid
0.0ms	1×	body	80	invalid

Details

analyze4.0ms

sample65.0ms

simplify92.0ms

prune1.0ms

localize6.0ms

rewrite7.0ms

series239.0ms

simplify152.0ms

prune24.0ms

localize4.0ms

rewrite2.0ms

series166.0ms

simplify116.0ms

prune9.0ms

localize8.0ms

rewrite18.0ms

series851.0ms

simplify81.0ms

prune67.0ms

localize16.0ms

rewrite22.0ms

series877.0ms

simplify139.0ms

prune62.0ms

regimes9.0ms

bsearch0.0ms

simplify5.0ms

end0.0ms

sample1.8s

Profiling