Details

analyze347.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
50%	50%	0.1%	5
50%	50%	0.1%	6
50%	37.5%	12.6%	7
50%	37.5%	12.6%	8
50%	31.2%	18.8%	9
50%	31.2%	18.8%	10
50%	28.1%	22%	11
50%	28.1%	22%	12
50%	26.5%	23.5%	13
50%	26.5%	23.5%	14

sample91.0ms

Algorithm

intervals

Results

28.0ms	53×	body	1280	valid
17.0ms	51×	body	1280	invalid
10.0ms	42×	body	640	invalid
8.0ms	142×	body	80	valid
7.0ms	25×	body	640	valid
4.0ms	25×	body	320	valid
3.0ms	19×	body	320	invalid
1.0ms	11×	body	160	invalid
1.0ms	11×	body	160	valid
1.0ms	17×	body	80	invalid

simplify212.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (197.0ms)

Iter	Nodes	Cost
0	4882	18
1	4882	18

prune4.0ms

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: 0.0b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
0.0b	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

7.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
12.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

series416.0ms

Counts

2 → 6

Calls

2 calls:

171.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
245.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	468	550
1	468	550
0	8	9
1	8	9
0	468	550
1	468	550
0	8	9
1	8	9
0	1	3
1	1	3
0	273	320
1	273	320
0	7	9
1	7	9
0	273	320
1	273	320
0	7	9
1	7	9
0	1	3
1	1	3

simplify128.0ms

Counts

43 → 43

Iterations

Useful iterations: 0 (105.0ms)

Iter	Nodes	Cost
0	4880	663
1	4880	663

prune31.0ms

Filtered

28 candidates to 43 candidates (-53.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	3	44

Merged error: 0b

Counts

44 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (exp.f64 im) -2)
0.1b	(pow.f64 (exp.f64 im) 2)
0.1b	(pow.f64 (exp.f64 im) 3)
5.8b	(+.f64 (pow.f64 (exp.f64 im) 2) -1)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
14×	`add-cube-cbrt_binary64`
12×	`pow-pow_binary64`
10×	`unpow-prod-down_binary64`
9×	`pow-unpow_binary64` `exp-prod_binary64`
7×	`pow1_binary64`
6×	`add-log-exp_binary64`
5×	`add-cbrt-cube_binary64`
4×	`sqr-pow_binary64` `add-exp-log_binary64` `difference-of-sqr--1_binary64` `insert-posit16`
3×	`pow-to-exp_binary64` `cube-prod_binary64` `pow-exp_binary64`
2×	`unpow2_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `rem-cube-cbrt_binary64` `+-commutative_binary64` `flip-+_binary64` `unpow3_binary64` `sum-log_binary64` `cube-mult_binary64`

Counts

4 → 87

Calls

4 calls:

4.0ms	(pow.f64 (exp.f64 im) -2)
4.0ms	(pow.f64 (exp.f64 im) 2)
4.0ms	(pow.f64 (exp.f64 im) 3)
7.0ms	(+.f64 (pow.f64 (exp.f64 im) 2) -1)

series1.2s

Counts

4 → 12

Calls

4 calls:

333.0ms	(pow.f64 (exp.f64 im) -2)
223.0ms	(pow.f64 (exp.f64 im) 2)
225.0ms	(pow.f64 (exp.f64 im) 3)
394.0ms	(+.f64 (pow.f64 (exp.f64 im) 2) -1)

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	448	825
1	448	825
0	11	9
1	11	9
0	448	825
1	448	825
0	11	9
1	11	9
0	4961	27
1	4961	27
0	417	798
1	417	798
0	13	9
1	13	9
0	417	798
1	417	798
0	13	9
1	13	9
0	1	3
1	1	3
0	416	798
1	416	798
0	11	9
1	11	9
0	416	798
1	416	798
0	11	9
1	11	9
0	1	3
1	1	3
0	416	798
1	416	798
0	24	99
1	24	99
0	416	798
1	416	798
0	24	99
1	24	99
0	5195	12

simplify144.0ms

Counts

99 → 99

Iterations

Useful iterations: 0 (119.0ms)

Iter	Nodes	Cost
0	4911	746
1	4911	746

prune99.0ms

Filtered

64 candidates to 99 candidates (-54.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	99	3	102

Merged error: 0b

Counts

102 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(.f64 (cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (cbrt.f64 (.f64 (*.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
0.3b	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
0.3b	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
0.3b	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/_binary64`
18×	`cbrt-div_binary64`
11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`cbrt-prod_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `associate-r_binary64` `add-cbrt-cube_binary64` `associate-l_binary64` `insert-posit16` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64` `associate-*l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 76

Calls

4 calls:

11.0ms	(.f64 (cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (cbrt.f64 (.f64 (*.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
10.0ms	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
10.0ms	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
10.0ms	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))

series2.2s

Counts

4 → 12

Calls

4 calls:

452.0ms	(.f64 (cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (cbrt.f64 (.f64 (*.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
568.0ms	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
571.0ms	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
573.0ms	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))

Iterations

Useful iterations: 0 (121.0ms)

Iter	Nodes	Cost
0	146	1799
1	146	1799
0	5300	1739
0	146	1799
1	146	1799
0	5300	1739
0	4898	90
1	4898	90
0	146	1799
1	146	1799
0	5300	1739
0	146	1799
1	146	1799
0	5300	1739
0	4898	90
1	4898	90
0	146	1799
1	146	1799
0	5300	1739
0	146	1799
1	146	1799
0	5300	1739
0	4898	90
1	4898	90
0	214	2059
1	214	2059
0	4926	1957
1	4926	1957
0	214	2059
1	214	2059
0	4926	1957
1	4926	1957
0	5014	153

simplify101.0ms

Counts

88 → 88

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4924	2484
1	4924	2484

prune123.0ms

Filtered

67 candidates to 88 candidates (-31.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	88	3	91

Merged error: 0b

Counts

91 → 3

regimes69.0ms

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	21	18
1	21	18

end0.0ms

sample2.8s

Algorithm

intervals

Results

787.0ms	1484×	body	1280	valid
512.0ms	1497×	body	1280	invalid
357.0ms	1266×	body	640	valid
284.0ms	1227×	body	640	invalid
241.0ms	4276×	body	80	valid
119.0ms	662×	body	320	valid
108.0ms	609×	body	320	invalid
37.0ms	312×	body	160	valid
34.0ms	306×	body	160	invalid
33.0ms	525×	body	80	invalid

Iter	Nodes	Cost
0	468	550
1	468	550
0	8	9
1	8	9
0	468	550
1	468	550
0	8	9
1	8	9
0	1	3
1	1	3
0	273	320
1	273	320
0	7	9
1	7	9
0	273	320
1	273	320
0	7	9
1	7	9
0	1	3
1	1	3

Iter	Nodes	Cost
0	468	550
1	468	550
0	8	9
1	8	9
0	468	550
1	468	550
0	8	9
1	8	9
0	1	3
1	1	3
0	273	320
1	273	320
0	7	9
1	7	9
0	273	320
1	273	320
0	7	9
1	7	9
0	1	3
1	1	3

Details

analyze347.0ms

sample91.0ms

simplify212.0ms

prune4.0ms

localize10.0ms

rewrite20.0ms

series416.0ms

simplify128.0ms

prune31.0ms

localize17.0ms

rewrite21.0ms

series1.2s

simplify144.0ms

prune99.0ms

localize16.0ms

rewrite44.0ms

series2.2s

simplify101.0ms

prune123.0ms

regimes69.0ms

bsearch0.0ms

simplify6.0ms

end0.0ms

sample2.8s

Profiling

Iter	Nodes	Cost
0	468	550
1	468	550
0	8	9
1	8	9
0	468	550
1	468	550
0	8	9
1	8	9
0	1	3
1	1	3
0	273	320
1	273	320
0	7	9
1	7	9
0	273	320
1	273	320
0	7	9
1	7	9
0	1	3
1	1	3