Details

analyze8.0ms

Algorithm

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

sample14.0ms

Algorithm

intervals

Results

4.0ms	256×	pre	80	true
2.0ms	256×	body	80	valid

simplify246.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	4861	64
1	4861	64

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 58.1b

Counts

2 → 1

localize31.0ms

Local error

Found 4 expressions with local error:

1.0b	(-.f64 (.f64 (.f64 (.f64 (.f64 11 x) x) y) y) (pow.f64 y 6))
1.0b	(+.f64 (+.f64 (+.f64 (.f64 1335/4 (pow.f64 y 6)) (.f64 (.f64 x x) (-.f64 (-.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 11 x) x) y) y) (pow.f64 y 6)) (.f64 121 (pow.f64 y 4))) 2))) (.f64 11/2 (pow.f64 y 8))) (/.f64 x (.f64 2 y)))
1.0b	(*.f64 11/2 (pow.f64 y 8))
62.0b	(+.f64 (+.f64 (.f64 1335/4 (pow.f64 y 6)) (.f64 (.f64 x x) (-.f64 (-.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 11 x) x) y) y) (pow.f64 y 6)) (.f64 121 (pow.f64 y 4))) 2))) (*.f64 11/2 (pow.f64 y 8)))

rewrite271.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp_binary64`
12×	`add-sqr-sqrt_binary64`
9×	`*-un-lft-identity_binary64` `add-exp-log_binary64` `sum-log_binary64`
7×	`associate-r_binary64` `add-cube-cbrt_binary64`
6×	`add-cbrt-cube_binary64`
4×	`pow1_binary64` `unpow-prod-down_binary64` `insert-posit16`
3×	`flip3-+_binary64` `associate-l_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip-+_binary64`
2×	`frac-add_binary64` `associate-+l+_binary64` `sqr-pow_binary64` `+-commutative_binary64`
1×	`pow-to-exp_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `flip--_binary64` `pow-exp_binary64` `*-commutative_binary64`

Counts

4 → 70

Calls

4 calls:

14.0ms	(-.f64 (.f64 (.f64 (.f64 (.f64 11 x) x) y) y) (pow.f64 y 6))
29.0ms	(+.f64 (+.f64 (+.f64 (.f64 1335/4 (pow.f64 y 6)) (.f64 (.f64 x x) (-.f64 (-.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 11 x) x) y) y) (pow.f64 y 6)) (.f64 121 (pow.f64 y 4))) 2))) (.f64 11/2 (pow.f64 y 8))) (/.f64 x (.f64 2 y)))
6.0ms	(*.f64 11/2 (pow.f64 y 8))
219.0ms	(+.f64 (+.f64 (.f64 1335/4 (pow.f64 y 6)) (.f64 (.f64 x x) (-.f64 (-.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 11 x) x) y) y) (pow.f64 y 6)) (.f64 121 (pow.f64 y 4))) 2))) (*.f64 11/2 (pow.f64 y 8)))

series1.8s

Counts

4 → 12

Calls

4 calls:

369.0ms	(-.f64 (.f64 (.f64 (.f64 (.f64 11 x) x) y) y) (pow.f64 y 6))
706.0ms	(+.f64 (+.f64 (+.f64 (.f64 1335/4 (pow.f64 y 6)) (.f64 (.f64 x x) (-.f64 (-.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 11 x) x) y) y) (pow.f64 y 6)) (.f64 121 (pow.f64 y 4))) 2))) (.f64 11/2 (pow.f64 y 8))) (/.f64 x (.f64 2 y)))
236.0ms	(*.f64 11/2 (pow.f64 y 8))
450.0ms	(+.f64 (+.f64 (.f64 1335/4 (pow.f64 y 6)) (.f64 (.f64 x x) (-.f64 (-.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 11 x) x) y) y) (pow.f64 y 6)) (.f64 121 (pow.f64 y 4))) 2))) (*.f64 11/2 (pow.f64 y 8)))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	1087	1627
1	1087	1627
0	99	499
1	99	499
0	1087	1627
1	1087	1627
0	99	499
1	99	499
0	1	3
1	1	3
0	451	756
1	451	756
0	13	9
1	13	9
0	451	756
1	451	756
0	13	9
1	13	9
0	1	3
1	1	3
0	1234	1689
1	1234	1689
0	177	1180
1	177	1180
0	1234	1689
1	1234	1689
0	177	1180
1	177	1180
0	1	3
1	1	3
0	514	657
1	514	657
0	55	36
1	55	36
0	514	657
1	514	657
0	55	36
1	55	36
0	5729	3

simplify114.0ms

Counts

82 → 82

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4954	3363
1	4954	3363

prune175.0ms

Filtered

60 candidates to 82 candidates (-36.7%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	1	83

Merged error: 56.8b

Counts

83 → 1

localize30.0ms

Local error

Found 4 expressions with local error:

1.0b	(+.f64 (posit16->binary64 (binary64->posit16 (+.f64 (.f64 11/2 (pow.f64 y 8)) (+.f64 (.f64 1335/4 (pow.f64 y 6)) (.f64 (.f64 x x) (-.f64 (-.f64 (-.f64 (.f64 y (.f64 y (.f64 x (.f64 x 11)))) (pow.f64 y 6)) (.f64 121 (pow.f64 y 4))) 2)))))) (/.f64 x (.f64 2 y)))
1.0b	(*.f64 11/2 (pow.f64 y 8))
1.0b	(-.f64 (.f64 y (.f64 y (.f64 x (.f64 x 11)))) (pow.f64 y 6))
62.0b	(+.f64 (.f64 11/2 (pow.f64 y 8)) (+.f64 (.f64 1335/4 (pow.f64 y 6)) (.f64 (.f64 x x) (-.f64 (-.f64 (-.f64 (.f64 y (.f64 y (.f64 x (.f64 x 11)))) (pow.f64 y 6)) (*.f64 121 (pow.f64 y 4))) 2))))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-log-exp_binary64`
12×	`add-sqr-sqrt_binary64`
9×	`*-un-lft-identity_binary64` `add-exp-log_binary64`
7×	`associate-r_binary64` `add-cube-cbrt_binary64`
6×	`add-cbrt-cube_binary64`
4×	`pow1_binary64` `unpow-prod-down_binary64` `insert-posit16` `sum-log_binary64`
3×	`associate-l_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
2×	`flip3-+_binary64` `sqr-pow_binary64` `+-commutative_binary64` `flip-+_binary64`
1×	`pow-to-exp_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `flip--_binary64` `associate-+r+_binary64` `pow-exp_binary64` `*-commutative_binary64`

Counts

4 → 65

Calls

4 calls:

6.0ms	(+.f64 (posit16->binary64 (binary64->posit16 (+.f64 (.f64 11/2 (pow.f64 y 8)) (+.f64 (.f64 1335/4 (pow.f64 y 6)) (.f64 (.f64 x x) (-.f64 (-.f64 (-.f64 (.f64 y (.f64 y (.f64 x (.f64 x 11)))) (pow.f64 y 6)) (.f64 121 (pow.f64 y 4))) 2)))))) (/.f64 x (.f64 2 y)))
7.0ms	(*.f64 11/2 (pow.f64 y 8))
15.0ms	(-.f64 (.f64 y (.f64 y (.f64 x (.f64 x 11)))) (pow.f64 y 6))
26.0ms	(+.f64 (.f64 11/2 (pow.f64 y 8)) (+.f64 (.f64 1335/4 (pow.f64 y 6)) (.f64 (.f64 x x) (-.f64 (-.f64 (-.f64 (.f64 y (.f64 y (.f64 x (.f64 x 11)))) (pow.f64 y 6)) (*.f64 121 (pow.f64 y 4))) 2))))

series1.3s

Counts

4 → 12

Calls

4 calls:

315.0ms	(+.f64 (posit16->binary64 (binary64->posit16 (+.f64 (.f64 11/2 (pow.f64 y 8)) (+.f64 (.f64 1335/4 (pow.f64 y 6)) (.f64 (.f64 x x) (-.f64 (-.f64 (-.f64 (.f64 y (.f64 y (.f64 x (.f64 x 11)))) (pow.f64 y 6)) (.f64 121 (pow.f64 y 4))) 2)))))) (/.f64 x (.f64 2 y)))
239.0ms	(*.f64 11/2 (pow.f64 y 8))
285.0ms	(-.f64 (.f64 y (.f64 y (.f64 x (.f64 x 11)))) (pow.f64 y 6))
442.0ms	(+.f64 (.f64 11/2 (pow.f64 y 8)) (+.f64 (.f64 1335/4 (pow.f64 y 6)) (.f64 (.f64 x x) (-.f64 (-.f64 (-.f64 (.f64 y (.f64 y (.f64 x (.f64 x 11)))) (pow.f64 y 6)) (*.f64 121 (pow.f64 y 4))) 2))))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	1096	1627
1	1096	1627
0	97	493
1	97	493
0	1096	1627
1	1096	1627
0	97	493
1	97	493
0	1	3
1	1	3
0	536	634
1	536	634
0	21	9
1	21	9
0	536	634
1	536	634
0	21	9
1	21	9
0	1	3
1	1	3
0	451	756
1	451	756
0	13	9
1	13	9
0	451	756
1	451	756
0	13	9
1	13	9
0	1	3
1	1	3
0	437	3369
1	437	3369
0	271	3258
1	271	3258
0	437	3369
1	437	3369
0	271	3258
1	271	3258
0	1	3
1	1	3

simplify150.0ms

Counts

77 → 77

Iterations

Useful iterations: 0 (115.0ms)

Iter	Nodes	Cost
0	4956	2701
1	4956	2701

prune161.0ms

Filtered

57 candidates to 77 candidates (-35.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	77	1	78

Merged error: 56.8b

Counts

78 → 1

simplify7.0ms

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	88	68
1	88	68

end0.0ms

sample259.0ms

Algorithm

intervals

Results

129.0ms	8000×	pre	80	true
52.0ms	8000×	body	80	valid

Details

analyze8.0ms

sample14.0ms

simplify246.0ms

prune7.0ms

localize31.0ms

rewrite271.0ms

series1.8s

simplify114.0ms

prune175.0ms

localize30.0ms

rewrite56.0ms

series1.3s

simplify150.0ms

prune161.0ms

simplify7.0ms

end0.0ms

sample259.0ms

Profiling