Details

analyze15.0ms

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

sample63.0ms

Algorithm

intervals

Results

34.0ms	106×	body	1280	valid
15.0ms	75×	body	640	valid
5.0ms	40×	body	320	valid
2.0ms	21×	body	160	valid
1.0ms	14×	body	80	valid
0.0ms	1×	body	80	overflowed

simplify120.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (101.0ms)

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: 57.9b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
1.0b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
5.7b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

46×	`*-un-lft-identity_binary64_660`
30×	`add-sqr-sqrt_binary64_645` `times-frac_binary64_655`
16×	`add-cube-cbrt_binary64_631`
8×	`distribute-lft-out_binary64_704` `cosh-undef_binary64_453`
7×	`distribute-lft-out--_binary64_705` `add-log-exp_binary64_625` `difference-of-squares_binary64_689` `sinh-undef_binary64_452`
6×	`associate-/l*_binary64_724`
5×	`add-cbrt-cube_binary64_632` `add-exp-log_binary64_624` `associate-/r*_binary64_723`
3×	`pow1_binary64_602`
2×	`flip--_binary64_686` `flip-+_binary64_685` `associate-/r/_binary64_725` `associate-/l/_binary64_726` `flip3--_binary64_659` `flip3-+_binary64_658`
1×	`div-inv_binary64_661` `sub-neg_binary64_664` `diff-log_binary64_571` `div-sub_binary64_654` `div-exp_binary64_609` `tanh-undef_binary64_454` `+-commutative_binary64_727` `sum-log_binary64_570` `frac-2neg_binary64_653` `cbrt-undiv_binary64_630` `clear-num_binary64_663`

Counts

3 → 86

Calls

3 calls:

6.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
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)))

series875.0ms

Counts

3 → 9

Calls

3 calls:

289.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
282.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
304.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	174	1531
1	174	1531
0	4961	1222
1	4961	1222
0	174	1531
1	174	1531
0	4961	1222
1	4961	1222
0	1	3
1	1	3
0	414	2121
1	414	2121
0	5502	1938
0	414	2121
1	414	2121
0	5502	1938
0	1	3
1	1	3
0	174	1531
1	174	1531
0	4966	1214
1	4966	1214
0	174	1531
1	174	1531
0	4966	1214
1	4966	1214
0	1	3
1	1	3

simplify149.0ms

Counts

95 → 95

Iterations

Useful iterations: 0 (117.0ms)

Iter	Nodes	Cost
0	5006	1730

prune62.0ms

Filtered

69 candidates to 95 candidates (-37.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	92	3	95
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	3	96

Merged error: 0b

Counts

96 → 3

localize2.0ms

Local error

Found 1 expressions with local error:

0.0b	(tanh.f64 x)

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt_binary64_645` `add-log-exp_binary64_625` `add-cube-cbrt_binary64_631` `tanh-def-b_binary64_474` `tanh-def-a_binary64_473` `add-cbrt-cube_binary64_632` `add-exp-log_binary64_624` `tanh-def-c_binary64_475` `pow1_binary64_602` `*-un-lft-identity_binary64_660`

Counts

1 → 10

Calls

1 calls:

1.0ms

(tanh.f64 x)

series266.0ms

Counts

1 → 3

Calls

1 calls:

266.0ms

(tanh.f64 x)

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	33	1914
1	33	1914
0	4896	1791
1	4896	1791
0	33	1914
1	33	1914
0	4896	1791
1	4896	1791
0	1	3
1	1	3

simplify84.0ms

Counts

13 → 13

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5264	102

prune7.0ms

Filtered

11 candidates to 13 candidates (-18.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	13	3	16

Merged error: 0b

Counts

16 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(sinh.f64 x)
1.0b	(/.f64 (sinh.f64 x) (cosh.f64 x))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_645` `add-cube-cbrt_binary64_631` `*-un-lft-identity_binary64_660`
9×	`times-frac_binary64_655`
4×	`add-cbrt-cube_binary64_632` `add-exp-log_binary64_624`
3×	`associate-/l_binary64_724` `associate-/r_binary64_723`
2×	`add-log-exp_binary64_625` `sinh-def_binary64_471` `pow1_binary64_602`
1×	`associate-/r/_binary64_725` `div-inv_binary64_661` `div-exp_binary64_609` `cosh-def_binary64_472` `associate-/l/_binary64_726` `frac-2neg_binary64_653` `cbrt-undiv_binary64_630` `clear-num_binary64_663`

Counts

2 → 37

Calls

2 calls:

1.0ms	(sinh.f64 x)
5.0ms	(/.f64 (sinh.f64 x) (cosh.f64 x))

series455.0ms

Counts

2 → 6

Calls

2 calls:

256.0ms	(sinh.f64 x)
198.0ms	(/.f64 (sinh.f64 x) (cosh.f64 x))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	273	1983
1	273	1983
0	4847	1906
1	4847	1906
0	273	1983
1	273	1983
0	4847	1906
1	4847	1906
0	1	3
1	1	3
0	33	1914
1	33	1914
0	5493	1423
0	33	1914
1	33	1914
0	5493	1423
0	1	3
1	1	3

simplify143.0ms

Counts

43 → 43

Iterations

Useful iterations: 0 (122.0ms)

Iter	Nodes	Cost
0	4919	471
1	4919	471

prune20.0ms

Filtered

34 candidates to 43 candidates (-26.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	43	3	46

Merged error: 0b

Counts

46 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (*.f64 2 (cosh.f64 x)))
1.0b	(/.f64 2 (sqrt.f64 (*.f64 2 (cosh.f64 x))))
1.3b	(/.f64 (sinh.f64 x) (sqrt.f64 (*.f64 2 (cosh.f64 x))))
1.4b	(.f64 (/.f64 2 (sqrt.f64 (.f64 2 (cosh.f64 x)))) (/.f64 (sinh.f64 x) (sqrt.f64 (*.f64 2 (cosh.f64 x)))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

52×	`times-frac_binary64_655`
50×	`add-sqr-sqrt_binary64_645`
38×	`add-cube-cbrt_binary64_631` `*-un-lft-identity_binary64_660`
20×	`add-cbrt-cube_binary64_632` `add-exp-log_binary64_624`
17×	`associate-r_binary64_719` `associate-l_binary64_720`
15×	`sqrt-prod_binary64_639`
9×	`pow1_binary64_602`
8×	`associate-/r*_binary64_723`
6×	`div-exp_binary64_609` `associate-/l_binary64_724` `associate-r/_binary64_721` `cbrt-undiv_binary64_630`
5×	`cosh-def_binary64_472` `sqrt-div_binary64_640`
4×	`associate-/r/_binary64_725` `div-inv_binary64_661` `cbrt-unprod_binary64_629` `add-log-exp_binary64_625` `unswap-sqr_binary64_688` `prod-exp_binary64_607`
2×	`sqrt-pow1_binary64_641` `pow-prod-down_binary64_583` `frac-2neg_binary64_653` `clear-num_binary64_663`
1×	`associate-l/_binary64_722` `sinh-def_binary64_471` `frac-times_binary64_652` `-commutative_binary64_728` `associate-/l/_binary64_726` `pow1/2_binary64_592`

Counts

4 → 135

Calls

4 calls:

3.0ms	(sqrt.f64 (*.f64 2 (cosh.f64 x)))
6.0ms	(/.f64 2 (sqrt.f64 (*.f64 2 (cosh.f64 x))))
7.0ms	(/.f64 (sinh.f64 x) (sqrt.f64 (*.f64 2 (cosh.f64 x))))
21.0ms	(.f64 (/.f64 2 (sqrt.f64 (.f64 2 (cosh.f64 x)))) (/.f64 (sinh.f64 x) (sqrt.f64 (*.f64 2 (cosh.f64 x)))))

series906.0ms

Counts

4 → 12

Calls

4 calls:

268.0ms	(sqrt.f64 (*.f64 2 (cosh.f64 x)))
225.0ms	(/.f64 2 (sqrt.f64 (*.f64 2 (cosh.f64 x))))
202.0ms	(/.f64 (sinh.f64 x) (sqrt.f64 (*.f64 2 (cosh.f64 x))))
212.0ms	(.f64 (/.f64 2 (sqrt.f64 (.f64 2 (cosh.f64 x)))) (/.f64 (sinh.f64 x) (sqrt.f64 (*.f64 2 (cosh.f64 x)))))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	417	2169
1	417	2169
0	5524	1962
0	417	2169
1	417	2169
0	5524	1962
0	1	3
1	1	3
0	357	2028
1	357	2028
0	5210	1959
0	357	2028
1	357	2028
0	5210	1959
0	1	3
1	1	3
0	336	1986
1	336	1986
0	5272	1971
0	336	1986
1	336	1986
0	5272	1971
0	1	3
1	1	3
0	144	1959
1	144	1959
0	4854	1573
1	4854	1573
0	144	1959
1	144	1959
0	4854	1573
1	4854	1573
0	1	3
1	1	3

simplify109.0ms

Counts

147 → 147

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	6334	2752

prune132.0ms

Filtered

116 candidates to 147 candidates (-26.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	147	0	147
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	147	3	150

Merged error: 0b

Counts

150 → 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	3	3
1	3	3

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.1s	3292×	body	1280	valid
489.0ms	2461×	body	640	valid
157.0ms	1239×	body	320	valid
48.0ms	605×	body	160	valid
17.0ms	403×	body	80	valid
0.0ms	1×	body	80	overflowed

Details

analyze15.0ms

sample63.0ms

simplify120.0ms

prune1.0ms

localize7.0ms

rewrite30.0ms

series875.0ms

simplify149.0ms

prune62.0ms

localize2.0ms

rewrite2.0ms

series266.0ms

simplify84.0ms

prune7.0ms

localize6.0ms

rewrite7.0ms

series455.0ms

simplify143.0ms

prune20.0ms

localize9.0ms

rewrite43.0ms

series906.0ms

simplify109.0ms

prune132.0ms

regimes9.0ms

bsearch0.0ms

simplify5.0ms

end0.0ms

sample1.9s

Profiling