Details

analyze38.0ms (2.1%)

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
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
43.7%	56.2%	0.1%	5
46.8%	53.1%	0.1%	6
78%	21.9%	0.1%	7
82.7%	17.2%	0.1%	8
89%	10.9%	0.1%	9
91.3%	8.6%	0.1%	10
94.4%	5.5%	0.1%	11
95.6%	4.3%	0.1%	12
97.2%	2.7%	0.1%	13
97.8%	2.1%	0.1%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample12.0ms (0.7%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify219.0ms (12.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	664	10
1	664	10

prune2.0ms (0.1%)

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

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite17.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

46×	`*-un-lft-identity_binary64_5469` `add-sqr-sqrt_binary64_5490`
30×	`times-frac_binary64_5475`
19×	`difference-of-squares_binary64_5438`
14×	`add-cube-cbrt_binary64_5501`
13×	`distribute-lft-out--_binary64_5423`
6×	`associate-/r*_binary64_5415`
5×	`associate-/l*_binary64_5416`
3×	`add-exp-log_binary64_5504` `add-cbrt-cube_binary64_5502`
2×	`associate-/l/_binary64_5418` `flip3--_binary64_5473` `flip--_binary64_5444` `associate-/r/_binary64_5417`
1×	`clear-num_binary64_5468` `div-sub_binary64_5474` `cbrt-undiv_binary64_5500` `div-inv_binary64_5466` `div-exp_binary64_5517` `pow1_binary64_5527` `frac-2neg_binary64_5480` `add-log-exp_binary64_5505`

Counts

1 → 58

Calls

1 calls:

11.0ms

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

series62.0ms (3.4%)

Counts

1 → 3

Calls

1 calls:

61.0ms

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

simplify58.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4971	1144
1	4971	1144

prune58.0ms (3.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	58	3	61
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	59	3	62

Merged error: 0b

Counts

62 → 3

Compiler

Compiled 931 to 458 computations (50.8% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite22.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`*-un-lft-identity_binary64_5469` `add-sqr-sqrt_binary64_5490`
36×	`times-frac_binary64_5475`
24×	`add-cube-cbrt_binary64_5501`
16×	`difference-of-squares_binary64_5438`
12×	`associate-/r*_binary64_5415`
8×	`distribute-lft-out--_binary64_5423`
6×	`add-exp-log_binary64_5504` `associate-/l*_binary64_5416` `add-cbrt-cube_binary64_5502`
4×	`associate-/r/_binary64_5417`
2×	`clear-num_binary64_5468` `cbrt-undiv_binary64_5500` `flip3--_binary64_5473` `flip--_binary64_5444` `div-inv_binary64_5466` `div-exp_binary64_5517` `pow1_binary64_5527` `frac-2neg_binary64_5480` `add-log-exp_binary64_5505`

Counts

2 → 82

Calls

2 calls:

7.0ms	(/.f64 x (-.f64 1 y))
7.0ms	(/.f64 y (-.f64 1 y))

series89.0ms (4.9%)

Counts

2 → 6

Calls

2 calls:

60.0ms	(/.f64 x (-.f64 1 y))
28.0ms	(/.f64 y (-.f64 1 y))

simplify75.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5212	1246

prune297.0ms (16.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

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

Merged error: 0b

Counts

91 → 3

Compiler

Compiled 1568 to 976 computations (37.8% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite36.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`add-sqr-sqrt_binary64_5490`
48×	`*-un-lft-identity_binary64_5469`
38×	`times-frac_binary64_5475`
24×	`associate-r_binary64_5411` `add-cube-cbrt_binary64_5501`
15×	`add-exp-log_binary64_5504` `difference-of-squares_binary64_5438`
9×	`add-cbrt-cube_binary64_5502`
8×	`distribute-lft-out--_binary64_5423`
6×	`associate-/r*_binary64_5415`
5×	`pow1_binary64_5527` `associate-l_binary64_5412`
4×	`flip3--_binary64_5473` `flip--_binary64_5444` `associate-/r/_binary64_5417` `div-exp_binary64_5517` `prod-exp_binary64_5515`
3×	`associate-/l*_binary64_5416` `unswap-sqr_binary64_5437`
2×	`rec-exp_binary64_5516` `cbrt-undiv_binary64_5500` `frac-times_binary64_5479` `associate-*l/_binary64_5414` `cbrt-unprod_binary64_5499` `1-exp_binary64_5510` `div-inv_binary64_5466` `add-log-exp_binary64_5505`
1×	`clear-num_binary64_5468` `pow-prod-down_binary64_5537` `inv-pow_binary64_5551` `associate-r/_binary64_5413` `un-div-inv_binary64_5467` `frac-2neg_binary64_5480` `pow-flip_binary64_5540` `-commutative_binary64_5402`

Counts

2 → 98

Calls

2 calls:

19.0ms	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 1 y)))
8.0ms	(/.f64 1 (-.f64 1 y))

series86.0ms (4.8%)

Counts

2 → 6

Calls

2 calls:

64.0ms	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 1 y)))
23.0ms	(/.f64 1 (-.f64 1 y))

simplify76.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5057	1383

prune85.0ms (4.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	104	3	107

Merged error: 0b

Counts

107 → 3

Compiler

Compiled 1511 to 934 computations (38.2% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (-.f64 x y) (*.f64 x y))

rewrite9.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-log-exp_binary64_5505`
2×	`sum-log_binary64_5557`
1×	`+-commutative_binary64_5401` `sub-neg_binary64_5462` `flip-+_binary64_5443` `associate-+l+_binary64_5404` `add-exp-log_binary64_5504` `diff-log_binary64_5558` `add-cbrt-cube_binary64_5502` `add-cube-cbrt_binary64_5501` `pow1_binary64_5527` `*-un-lft-identity_binary64_5469` `add-sqr-sqrt_binary64_5490` `associate-+l-_binary64_5406` `flip3-+_binary64_5472`

Counts

1 → 14

Calls

1 calls:

8.0ms

(+.f64 (-.f64 x y) (*.f64 x y))

series32.0ms (1.8%)

Counts

1 → 3

Calls

1 calls:

32.0ms

(+.f64 (-.f64 x y) (*.f64 x y))

simplify71.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4997	243
1	4997	243

prune12.0ms (0.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	17	0	17
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	17	3	20

Merged error: 0b

Counts

20 → 3

Compiler

Compiled 203 to 41 computations (79.8% saved)

regimes19.0ms (1%)

Compiler: Compiled 58 to 52 computations (10.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	16
1	27	16

end0.0ms (0%)

sample407.0ms (22.5%)

Algorithm

1×

intervals

Results

189.0ms	7998×	body	128	valid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 46 to 40 computations (13% saved)

Details

analyze38.0ms (2.1%)

sample12.0ms (0.7%)

simplify219.0ms (12.1%)

prune2.0ms (0.1%)

localize5.0ms (0.3%)

rewrite17.0ms (0.9%)

series62.0ms (3.4%)

simplify58.0ms (3.2%)

prune58.0ms (3.2%)

localize6.0ms (0.3%)

rewrite22.0ms (1.2%)

series89.0ms (4.9%)

simplify75.0ms (4.1%)

prune297.0ms (16.4%)

localize6.0ms (0.3%)

rewrite36.0ms (2%)

series86.0ms (4.8%)

simplify76.0ms (4.2%)

prune85.0ms (4.7%)

localize5.0ms (0.3%)

rewrite9.0ms (0.5%)

series32.0ms (1.8%)

simplify71.0ms (3.9%)

prune12.0ms (0.7%)

regimes19.0ms (1%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample407.0ms (22.5%)

Profiling