Details

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	50%	0%	3
87.5%	12.5%	0%	4
93.7%	6.2%	0%	5
96.8%	3.1%	0%	6
98.4%	1.6%	0%	7
99.2%	0.8%	0%	8
99.6%	0.4%	0%	9
99.8%	0.2%	0%	10
99.9%	0.1%	0%	11
99.9%	0%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

sample9.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify26.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	37	10
1	37	10

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: 0.0b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (+.f64 x 1) (-.f64 1 x))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity_binary64`
28×	`add-sqr-sqrt_binary64`
24×	`times-frac_binary64`
13×	`add-cube-cbrt_binary64`
10×	`difference-of-squares_binary64`
7×	`distribute-lft-out_binary64`
6×	`associate-/r*_binary64`
5×	`distribute-lft-out--_binary64`
4×	`associate-/l*_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64`
1×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `insert-posit16` `flip--_binary64` `flip-+_binary64`

Counts

1 → 51

Calls

1 calls:

10.0ms

(/.f64 (+.f64 x 1) (-.f64 1 x))

series377.0ms

Counts

1 → 3

Calls

1 calls:

377.0ms

(/.f64 (+.f64 x 1) (-.f64 1 x))

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	333	543
1	333	543
0	18	9
1	18	9
0	333	543
1	333	543
0	18	9
1	18	9
0	5063	42

simplify179.0ms

Counts

54 → 54

Iterations

Useful iterations: 0 (154.0ms)

Iter	Nodes	Cost
0	4867	948
1	4867	948

prune35.0ms

Filtered

35 candidates to 54 candidates (-54.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	52	2	54
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	52	3	55

Merged error: 0b

Counts

55 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
0.0b	(cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))
0.0b	(cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))
0.0b	(cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

365×	`*-un-lft-identity_binary64`
270×	`cbrt-prod_binary64`
222×	`times-frac_binary64`
213×	`add-sqr-sqrt_binary64`
93×	`add-cube-cbrt_binary64`
64×	`difference-of-squares_binary64`
62×	`distribute-lft-out_binary64`
57×	`swap-sqr_binary64`
44×	`distribute-lft-out--_binary64`
33×	`associate-r_binary64` `associate-l_binary64`
14×	`associate-/r/_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64` `unswap-sqr_binary64`
7×	`cbrt-div_binary64` `flip3--_binary64` `div-inv_binary64` `flip--_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_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 → 274

Calls

4 calls:

42.0ms	(*.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
9.0ms	(cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))
9.0ms	(cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))
9.0ms	(cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))

series1.8s

Counts

4 → 12

Calls

4 calls:

252.0ms	(*.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
507.0ms	(cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))
505.0ms	(cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))
506.0ms	(cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	60	1697
1	60	1697
0	5580	1656
0	60	1697
1	60	1697
0	5580	1656
0	65	36
1	65	36
0	60	1697
1	60	1697
0	5580	1656
0	60	1697
1	60	1697
0	5580	1656
0	65	36
1	65	36
0	60	1697
1	60	1697
0	5580	1656
0	60	1697
1	60	1697
0	5580	1656
0	65	36
1	65	36
0	131	1858
1	131	1858
0	723	1833
1	723	1833
0	131	1858
1	131	1858
0	723	1833
1	723	1833
0	59	51
1	59	51

simplify167.0ms

Counts

286 → 286

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	5281	8171

prune360.0ms

Filtered

157 candidates to 286 candidates (-82.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	286	0	286
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	286	3	289

Merged error: 0b

Counts

289 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (-.f64 1 x))
0.1b	(*.f64 (+.f64 x 1) (/.f64 1 (-.f64 1 x)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-sqr-sqrt_binary64`
48×	`*-un-lft-identity_binary64`
38×	`times-frac_binary64`
24×	`associate-r_binary64` `add-cube-cbrt_binary64`
15×	`add-exp-log_binary64`
14×	`difference-of-squares_binary64`
9×	`add-cbrt-cube_binary64`
7×	`distribute-lft-out--_binary64`
6×	`associate-/r*_binary64`
5×	`pow1_binary64`
4×	`associate-/r/_binary64` `associate-l_binary64` `prod-exp_binary64` `div-exp_binary64`
3×	`unswap-sqr_binary64` `associate-/l*_binary64`
2×	`flip3-+_binary64` `add-log-exp_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `rec-exp_binary64` `div-inv_binary64` `insert-posit16` `flip--_binary64` `flip-+_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `distribute-lft-out_binary64` `associate-r/_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `un-div-inv_binary64` `pow-flip_binary64` `-commutative_binary64`

Counts

2 → 99

Calls

2 calls:

7.0ms	(/.f64 1 (-.f64 1 x))
17.0ms	(*.f64 (+.f64 x 1) (/.f64 1 (-.f64 1 x)))

series629.0ms

Counts

2 → 6

Calls

2 calls:

302.0ms	(/.f64 1 (-.f64 1 x))
327.0ms	(*.f64 (+.f64 x 1) (/.f64 1 (-.f64 1 x)))

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	408	777
1	408	777
0	6	9
1	6	9
0	408	777
1	408	777
0	6	9
1	6	9
0	4947	36
1	4947	36
0	291	435
1	291	435
0	7	9
1	7	9
0	291	435
1	291	435
0	7	9
1	7	9
0	4947	36
1	4947	36

simplify98.0ms

Counts

105 → 105

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4951	1348
1	4951	1348

prune61.0ms

Filtered

66 candidates to 105 candidates (-59.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	105	3	108

Merged error: 0b

Counts

108 → 3

regimes17.0ms

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	18	10
1	18	10

end0.0ms

sample245.0ms

Algorithm

intervals

Results

157.0ms

8000×

body

valid

Details

analyze3.0ms

sample9.0ms

simplify26.0ms

prune1.0ms

localize4.0ms

rewrite13.0ms

series377.0ms

simplify179.0ms

prune35.0ms

localize10.0ms

rewrite97.0ms

series1.8s

simplify167.0ms

prune360.0ms

localize5.0ms

rewrite29.0ms

series629.0ms

simplify98.0ms

prune61.0ms

regimes17.0ms

bsearch0.0ms

simplify6.0ms

end0.0ms

sample245.0ms

Profiling