Details

analyze104.0ms (3.7%)

Algorithm

1×

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
37.5%	62.4%	0.1%	6
50%	46.8%	3.2%	7
56.2%	37.5%	6.3%	8
62.4%	25.8%	11.8%	9
65.6%	20.3%	14.1%	10
68.7%	13.5%	17.9%	11
70.2%	10.5%	19.2%	12
71.8%	6.9%	21.3%	13
72.6%	5.4%	22%	14

sample16.0ms (0.6%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	80	valid
0.0ms	13×	body	80	invalid

simplify85.0ms (3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4931	11
1	4931	11

prune8.0ms (0.3%)

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: 4.8b

Counts

2 → 1

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 1.0 x) (-.f64 3.0 x))
4.5b	(/.f64 (.f64 (-.f64 1.0 x) (-.f64 3.0 x)) (.f64 y 3.0))

rewrite25.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`flip3--_binary64` `flip--_binary64`
10×	`add-sqr-sqrt_binary64`
8×	`*-un-lft-identity_binary64` `associate-/l/_binary64` `frac-times_binary64`
5×	`cbrt-unprod_binary64` `associate-r_binary64` `associate-l_binary64` `prod-exp_binary64`
4×	`pow1_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `add-cube-cbrt_binary64` `div-exp_binary64` `associate-l/_binary64`
2×	`add-log-exp_binary64` `sub-neg_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
1×	`pow-prod-down_binary64` `associate-/r_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `times-frac_binary64` `div-inv_binary64` `*-commutative_binary64`

Counts

2 → 61

Calls

2 calls:

12.0ms	(/.f64 (.f64 (-.f64 1.0 x) (-.f64 3.0 x)) (.f64 y 3.0))
10.0ms	(*.f64 (-.f64 1.0 x) (-.f64 3.0 x))

series12.0ms (0.4%)

Counts

2 → 6

Calls

2 calls:

9.0ms	(/.f64 (.f64 (-.f64 1.0 x) (-.f64 3.0 x)) (.f64 y 3.0))
3.0ms	(*.f64 (-.f64 1.0 x) (-.f64 3.0 x))

simplify41.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5754	790

prune94.0ms (3.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	63	4	67
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	64	4	68

Merged error: 0b

Counts

68 → 4

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 3.0 x) 3.0)
0.1b	(/.f64 y (/.f64 (-.f64 3.0 x) 3.0))
0.1b	(/.f64 (-.f64 1.0 x) (/.f64 y (/.f64 (-.f64 3.0 x) 3.0)))

rewrite81.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Rules

1054×	`times-frac_binary64`
680×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
414×	`add-cube-cbrt_binary64`
133×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
84×	`associate-/r*_binary64`
31×	`div-inv_binary64`
19×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`associate-/l*_binary64`
10×	`cbrt-undiv_binary64` `div-exp_binary64`
8×	`associate-/r/_binary64`
4×	`associate-/l/_binary64`
3×	`add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64`
2×	`flip3--_binary64` `div-sub_binary64` `flip--_binary64`

Counts

3 → 529

Calls

3 calls:

22.0ms	(/.f64 (-.f64 1.0 x) (/.f64 y (/.f64 (-.f64 3.0 x) 3.0)))
11.0ms	(/.f64 y (/.f64 (-.f64 3.0 x) 3.0))
6.0ms	(/.f64 (-.f64 3.0 x) 3.0)

series28.0ms (1%)

Counts

3 → 9

Calls

3 calls:

15.0ms	(/.f64 y (/.f64 (-.f64 3.0 x) 3.0))
9.0ms	(/.f64 (-.f64 1.0 x) (/.f64 y (/.f64 (-.f64 3.0 x) 3.0)))
5.0ms	(/.f64 (-.f64 3.0 x) 3.0)

simplify111.0ms (4%)

Algorithm

1×	egg-herbie

Counts

538 → 538

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5389	11120

prune1.1s (39.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	538	0	538
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	538	4	542

Merged error: 0b

Counts

542 → 4

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 3.0 x) 3.0)
0.0b	(/.f64 (-.f64 1.0 x) y)
0.1b	(*.f64 (/.f64 (-.f64 1.0 x) y) (/.f64 (-.f64 3.0 x) 3.0))

rewrite35.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

81×	`add-sqr-sqrt_binary64`
69×	`*-un-lft-identity_binary64`
64×	`times-frac_binary64`
41×	`add-cube-cbrt_binary64`
19×	`associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
14×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
10×	`associate-/l*_binary64`
6×	`associate-/r*_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
5×	`pow1_binary64`
4×	`associate-/l/_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64`
3×	`add-log-exp_binary64`
2×	`flip3--_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

3 → 138

Calls

3 calls:

18.0ms	(*.f64 (/.f64 (-.f64 1.0 x) y) (/.f64 (-.f64 3.0 x) 3.0))
6.0ms	(/.f64 (-.f64 1.0 x) y)
6.0ms	(/.f64 (-.f64 3.0 x) 3.0)

series19.0ms (0.7%)

Counts

3 → 9

Calls

3 calls:

9.0ms	(*.f64 (/.f64 (-.f64 1.0 x) y) (/.f64 (-.f64 3.0 x) 3.0))
6.0ms	(/.f64 (-.f64 1.0 x) y)
5.0ms	(/.f64 (-.f64 3.0 x) 3.0)

simplify55.0ms (2%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5608	1578

prune180.0ms (6.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	147	0	147
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	147	4	151

Merged error: 0b

Counts

151 → 4

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 1.0 x) y)
0.2b	(/.f64 (*.f64 (/.f64 (-.f64 1.0 x) y) (-.f64 3.0 x)) 3.0)
0.3b	(*.f64 (/.f64 (-.f64 1.0 x) y) (-.f64 3.0 x))

rewrite35.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

46×	`add-sqr-sqrt_binary64`
41×	`*-un-lft-identity_binary64`
34×	`times-frac_binary64`
25×	`add-cube-cbrt_binary64`
19×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
8×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
7×	`associate-/l/_binary64`
6×	`associate-/r_binary64` `cbrt-undiv_binary64` `associate-/l_binary64` `div-exp_binary64`
5×	`pow1_binary64` `flip3--_binary64` `associate-r_binary64` `flip--_binary64`
4×	`cbrt-unprod_binary64` `associate-*r/_binary64` `prod-exp_binary64` `frac-times_binary64`
3×	`add-log-exp_binary64` `div-inv_binary64`
2×	`sub-neg_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `div-sub_binary64` `*-commutative_binary64`

Counts

3 → 112

Calls

3 calls:

13.0ms	(/.f64 (*.f64 (/.f64 (-.f64 1.0 x) y) (-.f64 3.0 x)) 3.0)
12.0ms	(*.f64 (/.f64 (-.f64 1.0 x) y) (-.f64 3.0 x))
6.0ms	(/.f64 (-.f64 1.0 x) y)

series25.0ms (0.9%)

Counts

3 → 9

Calls

3 calls:

10.0ms	(*.f64 (/.f64 (-.f64 1.0 x) y) (-.f64 3.0 x))
9.0ms	(/.f64 (*.f64 (/.f64 (-.f64 1.0 x) y) (-.f64 3.0 x)) 3.0)
6.0ms	(/.f64 (-.f64 1.0 x) y)

simplify50.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4976	1292
1	4976	1292

prune136.0ms (4.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	121	4	125

Merged error: 0b

Counts

125 → 4

regimes113.0ms (4%)

Accuracy

Total 0.1b remaining (82.4%)

Threshold costs 0.1b (82.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	11
1	21	11

end0.0ms (0%)

sample395.0ms (14.2%)

Algorithm

1×

intervals

Results

250.0ms	8000×	body	80	valid
9.0ms	309×	body	80	invalid

Details

analyze104.0ms (3.7%)

sample16.0ms (0.6%)

simplify85.0ms (3%)

prune8.0ms (0.3%)

localize7.0ms (0.3%)

rewrite25.0ms (0.9%)

series12.0ms (0.4%)

simplify41.0ms (1.5%)

prune94.0ms (3.4%)

localize7.0ms (0.3%)

rewrite81.0ms (2.9%)

series28.0ms (1%)

simplify111.0ms (4%)

prune1.1s (39.9%)

localize7.0ms (0.3%)

rewrite35.0ms (1.3%)

series19.0ms (0.7%)

simplify55.0ms (2%)

prune180.0ms (6.4%)

localize7.0ms (0.3%)

rewrite35.0ms (1.3%)

series25.0ms (0.9%)

simplify50.0ms (1.8%)

prune136.0ms (4.9%)

regimes113.0ms (4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample395.0ms (14.2%)

Profiling