Details

analyze1.9s

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
25%	74.9%	0.1%	5
25%	74.9%	0.1%	6
31.2%	68.7%	0.1%	7
34.3%	65.6%	0.1%	8
37.5%	59.3%	3.2%	9
42.9%	53.5%	3.6%	10
44.5%	50%	5.6%	11
47.8%	45.8%	6.4%	12
48.7%	43.7%	7.6%	13
50.5%	41.3%	8.2%	14

sample140.0ms

Algorithm

intervals

Results

51.0ms	212×	body	80	valid
37.0ms	173×	body	80	invalid
12.0ms	14×	body	640	valid
8.0ms	7×	body	1280	valid
7.0ms	11×	body	320	valid
5.0ms	12×	body	160	valid

simplify196.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5137	157

prune15.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.5b

Counts

2 → 2

localize39.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x1 x1) -6)
0.2b	(.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) 4)))
3.4b	(+.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) 4))) (.f64 (.f64 x1 x1) -6))
4.0b	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)

rewrite340.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt_binary64`
23×	`*-un-lft-identity_binary64`
22×	`associate-l_binary64`
17×	`times-frac_binary64`
15×	`add-cube-cbrt_binary64`
14×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`pow1_binary64`
8×	`add-log-exp_binary64`
6×	`associate-r_binary64`
5×	`cbrt-unprod_binary64` `prod-exp_binary64` `difference-of-squares_binary64`
4×	`pow-prod-down_binary64` `flip3-+_binary64` `distribute-lft-out--_binary64` `insert-posit16` `flip-+_binary64`
3×	`unswap-sqr_binary64`
2×	`associate-r/_binary64` `associate-+l+_binary64` `distribute-lft-in_binary64` `associate-/r/_binary64` `distribute-rgt-in_binary64` `frac-times_binary64` `-commutative_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `associate--l-_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip--_binary64` `associate-*l/_binary64` `sum-log_binary64`

Counts

4 → 97

Calls

4 calls:

8.0ms	(.f64 (.f64 x1 x1) -6)
54.0ms	(.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) 4)))
58.0ms	(+.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) 4))) (.f64 (.f64 x1 x1) -6))
215.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)

series1.9s

Counts

4 → 12

Calls

4 calls:

226.0ms	(.f64 (.f64 x1 x1) -6)
540.0ms	(.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) 4)))
589.0ms	(+.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) 4))) (.f64 (.f64 x1 x1) -6))
547.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	553	771
1	553	771
0	30	9
1	30	9
0	553	771
1	553	771
0	30	9
1	30	9
0	5574	39
0	874	1879
1	874	1879
0	5295	1395
0	874	1879
1	874	1879
0	5295	1395
0	11	3
1	11	3
0	803	1785
1	803	1785
0	5689	1365
0	803	1785
1	803	1785
0	5689	1365
0	15	3
1	15	3
0	264	357
1	264	357
0	34	36
1	34	36
0	264	357
1	264	357
0	34	36
1	34	36
0	53	33
1	53	33

simplify103.0ms

Counts

109 → 109

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5288	5789

prune619.0ms

Filtered

85 candidates to 109 candidates (-28.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	98	11	109
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	99	12	111

Merged error: 0.4b

Counts

111 → 12

localize38.0ms

Local error

Found 4 expressions with local error:

3.4b	(+.f64 (.f64 (.f64 (.f64 2 x1) (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1))) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) (-.f64 (.f64 4 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1))) 6)))
4.0b	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
5.6b	(.f64 (.f64 (.f64 3 x1) x1) (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)))
5.6b	(.f64 (.f64 x1 x1) (-.f64 (.f64 4 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1))) 6))

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
26×	`add-sqr-sqrt_binary64`
24×	`associate-r_binary64`
23×	`associate-*r/_binary64`
22×	`*-un-lft-identity_binary64`
18×	`pow1_binary64`
16×	`times-frac_binary64`
15×	`cbrt-unprod_binary64` `prod-exp_binary64`
14×	`add-cube-cbrt_binary64`
11×	`flip3--_binary64` `flip--_binary64`
10×	`frac-add_binary64`
9×	`pow-prod-down_binary64`
8×	`add-log-exp_binary64`
7×	`sub-neg_binary64`
5×	`difference-of-squares_binary64`
4×	`distribute-lft-out--_binary64` `insert-posit16` `frac-times_binary64`
3×	`cbrt-undiv_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `div-exp_binary64`
2×	`flip3-+_binary64` `associate-+l+_binary64` `associate-/r/_binary64` `associate-l_binary64` `flip-+_binary64` `associate-+r+_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`associate--l-_binary64` `diff-log_binary64` `unswap-sqr_binary64` `div-sub_binary64` `div-inv_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 113

Calls

4 calls:

52.0ms	(+.f64 (.f64 (.f64 (.f64 2 x1) (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1))) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) (-.f64 (.f64 4 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1))) 6)))
24.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
26.0ms	(.f64 (.f64 (.f64 3 x1) x1) (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)))
28.0ms	(.f64 (.f64 x1 x1) (-.f64 (.f64 4 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1))) 6))

series2.1s

Counts

4 → 12

Calls

4 calls:

680.0ms	(+.f64 (.f64 (.f64 (.f64 2 x1) (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1))) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) (-.f64 (.f64 4 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1))) 6)))
551.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
471.0ms	(.f64 (.f64 (.f64 3 x1) x1) (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)))
401.0ms	(.f64 (.f64 x1 x1) (-.f64 (.f64 4 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1))) 6))

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	696	1279
1	696	1279
0	116	505
1	116	505
0	696	1279
1	696	1279
0	116	505
1	116	505
0	30	3
1	30	3
0	580	1179
1	580	1179
0	84	87
1	84	87
0	580	1179
1	580	1179
0	84	87
1	84	87
0	4921	3
1	4921	3
0	549	771
1	549	771
0	28	9
1	28	9
0	549	771
1	549	771
0	28	9
1	28	9
0	5574	39
0	948	2067
1	948	2067
0	6662	1521
0	948	2067
1	948	2067
0	6662	1521
0	18	3
1	18	3

simplify178.0ms

Counts

125 → 125

Iterations

Useful iterations: 0 (108.0ms)

Iter	Nodes	Cost
0	4933	8748
1	4933	8748

prune809.0ms

Filtered

92 candidates to 125 candidates (-35.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	121	4	125
Fresh	4	7	11
Picked	1	0	1
Done	0	0	0
Total	126	11	137

Merged error: 0.4b

Counts

137 → 11

localize47.0ms

Local error

Found 4 expressions with local error:

3.4b	(+.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (+.f64 (.f64 (+.f64 x1 x1) (.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (cbrt.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3))) (cbrt.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)))) (.f64 (.f64 x1 x1) 4))) (.f64 (.f64 x1 x1) -6))
4.0b	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
4.0b	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
4.0b	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)

rewrite198.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64`
12×	`add-log-exp_binary64`
10×	`*-un-lft-identity_binary64`
6×	`difference-of-squares_binary64`
4×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `insert-posit16`
3×	`sub-neg_binary64` `flip3--_binary64` `associate--l-_binary64` `diff-log_binary64` `div-sub_binary64` `distribute-lft-out--_binary64` `times-frac_binary64` `flip--_binary64`
2×	`associate-+l+_binary64`
1×	`flip3-+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 62

Calls

4 calls:

120.0ms	(+.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (+.f64 (.f64 (+.f64 x1 x1) (.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (cbrt.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3))) (cbrt.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)))) (.f64 (.f64 x1 x1) 4))) (.f64 (.f64 x1 x1) -6))
25.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
25.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
25.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)

series2.3s

Counts

4 → 12

Calls

4 calls:

699.0ms	(+.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (+.f64 (.f64 (+.f64 x1 x1) (.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (cbrt.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3))) (cbrt.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)))) (.f64 (.f64 x1 x1) 4))) (.f64 (.f64 x1 x1) -6))
533.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
535.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
537.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	553	771
1	553	771
0	30	9
1	30	9
0	553	771
1	553	771
0	30	9
1	30	9
0	5574	39
0	553	771
1	553	771
0	30	9
1	30	9
0	553	771
1	553	771
0	30	9
1	30	9
0	5574	39
0	553	771
1	553	771
0	30	9
1	30	9
0	553	771
1	553	771
0	30	9
1	30	9
0	5574	39
0	1081	3275
1	1081	3275
0	5497	1401
0	1081	3275
1	1081	3275
0	5497	1401
0	331	27
1	331	27

simplify151.0ms

Counts

74 → 74

Iterations

Useful iterations: 0 (109.0ms)

Iter	Nodes	Cost
0	4996	3402
1	4996	3402

prune573.0ms

Filtered

66 candidates to 74 candidates (-12.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	74	11	85

Merged error: 0.4b

Counts

85 → 11

localize52.0ms

Local error

Found 4 expressions with local error:

5.2b	(+.f64 (.f64 (.f64 (cbrt.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (.f64 x1 (+.f64 (.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3) 2) (.f64 x1 4))))) (cbrt.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (.f64 x1 (+.f64 (.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3) 2) (.f64 x1 4)))))) (cbrt.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (.f64 x1 (+.f64 (.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3) 2) (.f64 x1 4)))))) (.f64 (.f64 x1 x1) -6))
11.8b	(cbrt.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (.f64 x1 (+.f64 (.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3) 2) (.f64 x1 4)))))
11.8b	(cbrt.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (.f64 x1 (+.f64 (.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3) 2) (.f64 x1 4)))))
11.8b	(cbrt.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (.f64 x1 (+.f64 (.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3) 2) (.f64 x1 4)))))

rewrite245.0ms

Algorithm

rewrite-expression-head

Rules

18×	`associate-*r/_binary64`
15×	`cbrt-div_binary64`
7×	`flip3-+_binary64` `flip-+_binary64`
6×	`add-log-exp_binary64` `frac-times_binary64`
4×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `insert-posit16`
3×	`pow1/3_binary64` `cbrt-prod_binary64` `associate-*l/_binary64`
1×	`+-commutative_binary64` `sum-log_binary64`

Counts

4 → 57

Calls

4 calls:

99.0ms	(+.f64 (.f64 (.f64 (cbrt.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (.f64 x1 (+.f64 (.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3) 2) (.f64 x1 4))))) (cbrt.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (.f64 x1 (+.f64 (.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3) 2) (.f64 x1 4)))))) (cbrt.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (.f64 x1 (+.f64 (.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3) 2) (.f64 x1 4)))))) (.f64 (.f64 x1 x1) -6))
47.0ms	(cbrt.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (.f64 x1 (+.f64 (.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3) 2) (.f64 x1 4)))))
50.0ms	(cbrt.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (.f64 x1 (+.f64 (.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3) 2) (.f64 x1 4)))))
46.0ms	(cbrt.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (.f64 x1 (+.f64 (.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3) 2) (.f64 x1 4)))))

series1.9s

Counts

4 → 12

Calls

4 calls:

529.0ms	(+.f64 (.f64 (.f64 (cbrt.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (.f64 x1 (+.f64 (.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3) 2) (.f64 x1 4))))) (cbrt.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (.f64 x1 (+.f64 (.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3) 2) (.f64 x1 4)))))) (cbrt.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (.f64 x1 (+.f64 (.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3) 2) (.f64 x1 4)))))) (.f64 (.f64 x1 x1) -6))
449.0ms	(cbrt.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (.f64 x1 (+.f64 (.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3) 2) (.f64 x1 4)))))
450.0ms	(cbrt.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (.f64 x1 (+.f64 (.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3) 2) (.f64 x1 4)))))
452.0ms	(cbrt.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (.f64 x1 (+.f64 (.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3) 2) (.f64 x1 4)))))

Iterations

Useful iterations: 0 (163.0ms)

Iter	Nodes	Cost
0	222	2369
1	222	2369
0	4736	1788
1	4736	1788
0	222	2369
1	222	2369
0	4736	1788
1	4736	1788
0	4907	40
1	4907	40
0	222	2369
1	222	2369
0	4736	1788
1	4736	1788
0	222	2369
1	222	2369
0	4736	1788
1	4736	1788
0	4907	40
1	4907	40
0	222	2369
1	222	2369
0	4736	1788
1	4736	1788
0	222	2369
1	222	2369
0	4736	1788
1	4736	1788
0	4907	40
1	4907	40
0	517	4132
1	517	4132
0	4984	1657
1	4984	1657
0	517	4132
1	517	4132
0	4984	1657
1	4984	1657
0	5058	9

simplify154.0ms

Counts

69 → 69

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	4937	5355
1	4937	5355

prune646.0ms

Filtered

64 candidates to 69 candidates (-7.8%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	69	11	80

Merged error: 0.4b

Counts

80 → 11

regimes338.0ms

Accuracy

0% (0.2b remaining)

Error of 0.6b against oracle of 0.4b and baseline of 0.6b

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	103	223
1	103	223

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.5s	6919×	body	80	valid
1.3s	5847×	body	80	invalid
346.0ms	402×	body	640	valid
208.0ms	327×	body	320	valid
204.0ms	188×	body	1280	valid
69.0ms	164×	body	160	valid

Details

analyze1.9s

sample140.0ms

simplify196.0ms

prune15.0ms

localize39.0ms

rewrite340.0ms

series1.9s

simplify103.0ms

prune619.0ms

localize38.0ms

rewrite137.0ms

series2.1s

simplify178.0ms

prune809.0ms

localize47.0ms

rewrite198.0ms

series2.3s

simplify151.0ms

prune573.0ms

localize52.0ms

rewrite245.0ms

series1.9s

simplify154.0ms

prune646.0ms

regimes338.0ms

bsearch0.0ms

simplify8.0ms

end0.0ms

sample3.8s

Profiling