Details

analyze37.0ms (2.6%)

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
25%	74.9%	0.1%	4
37.5%	62.4%	0.1%	5
59.3%	40.6%	0.1%	6
76.5%	23.4%	0.1%	7
82%	18%	0.1%	8
87.8%	12.1%	0.1%	9
90.7%	9.2%	0.1%	10
93.8%	6.1%	0.1%	11
95.3%	4.6%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

sample16.0ms (1.2%)

Algorithm

1×

intervals

Results

9.0ms

256×

body

valid

simplify50.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	781	7
1	781	7

prune5.0ms (0.3%)

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 (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite12.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64`
22×	`add-sqr-sqrt_binary64`
20×	`times-frac_binary64`
12×	`add-cube-cbrt_binary64`
6×	`distribute-lft-out_binary64`
5×	`difference-of-squares_binary64` `associate-/l*_binary64` `distribute-lft-out--_binary64`
4×	`associate-/r*_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` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `flip-+_binary64`

Counts

1 → 46

Calls

1 calls:

8.0ms

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

series11.0ms (0.8%)

Counts

1 → 3

Calls

1 calls:

11.0ms

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

simplify36.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5063	538

prune61.0ms (4.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	46	3	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	4	50

Merged error: 0.0b

Counts

50 → 4

localize5.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

rewrite40.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Rules

63×	`*-un-lft-identity_binary64`
40×	`times-frac_binary64`
35×	`add-sqr-sqrt_binary64`
23×	`add-cube-cbrt_binary64`
12×	`distribute-lft-out_binary64`
8×	`associate-/r*_binary64` `associate-/r/_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-out--_binary64`
6×	`associate-/l*_binary64`
5×	`add-log-exp_binary64`
4×	`flip3-+_binary64` `difference-of-squares_binary64` `div-inv_binary64` `flip-+_binary64`
3×	`pow1_binary64` `distribute-rgt-out--_binary64`
2×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `sub-div_binary64` `flip--_binary64` `frac-sub_binary64`

Counts

3 → 93

Calls

3 calls:

25.0ms	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
5.0ms	(/.f64 x (+.f64 x y))
5.0ms	(/.f64 y (+.f64 x y))

series28.0ms (2%)

Counts

3 → 9

Calls

3 calls:

15.0ms	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
7.0ms	(/.f64 y (+.f64 x y))
7.0ms	(/.f64 x (+.f64 x y))

simplify45.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5553	1018

prune99.0ms (6.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	101	1	102
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	102	4	106

Merged error: 0b

Counts

106 → 4

localize13.0ms (0.9%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 x y))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite8.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`cbrt-prod_binary64`
10×	`*-un-lft-identity_binary64`
8×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`cbrt-div_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `flip-+_binary64`

Counts

4 → 47

Calls

4 calls:

3.0ms	(cbrt.f64 (+.f64 x y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series92.0ms (6.5%)

Counts

4 → 12

Calls

4 calls:

33.0ms	(cbrt.f64 (+.f64 x y))
21.0ms	(cbrt.f64 y)
19.0ms	(cbrt.f64 y)
19.0ms	(cbrt.f64 y)

simplify46.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4930	300
1	4930	300

prune67.0ms (4.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	59	4	63

Merged error: 0b

Counts

63 → 4

localize6.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

rewrite47.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Rules

102×	`*-un-lft-identity_binary64`
86×	`add-sqr-sqrt_binary64`
68×	`times-frac_binary64`
65×	`sqrt-prod_binary64`
44×	`add-cube-cbrt_binary64`
38×	`associate-r_binary64`
17×	`distribute-lft-out_binary64`
12×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`sqrt-div_binary64`
8×	`pow1_binary64` `associate-l_binary64` `associate-/l*_binary64`
6×	`unswap-sqr_binary64`
5×	`flip3--_binary64` `flip--_binary64`
4×	`associate-/r*_binary64` `add-log-exp_binary64` `associate-/r/_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `pow1/2_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `-commutative_binary64`

Counts

4 → 164

Calls

4 calls:

22.0ms	(*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (sqrt.f64 (-.f64 x y)) (+.f64 x y)))
9.0ms	(/.f64 (sqrt.f64 (-.f64 x y)) (+.f64 x y))
4.0ms	(sqrt.f64 (-.f64 x y))
4.0ms	(sqrt.f64 (-.f64 x y))

series54.0ms (3.8%)

Counts

4 → 12

Calls

4 calls:

19.0ms	(/.f64 (sqrt.f64 (-.f64 x y)) (+.f64 x y))
12.0ms	(sqrt.f64 (-.f64 x y))
12.0ms	(sqrt.f64 (-.f64 x y))
11.0ms	(*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (sqrt.f64 (-.f64 x y)) (+.f64 x y)))

simplify61.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5854	2053

prune159.0ms (11.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	176	0	176
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	176	4	180

Merged error: 0b

Counts

180 → 4

regimes112.0ms (7.9%)

Accuracy

Total 0.0b remaining (52%)

Threshold costs 0.0b (52%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	7
1	16	7

end0.0ms (0%)

sample309.0ms (21.6%)

Algorithm

1×

intervals

Results

181.0ms

8000×

body

valid

Details

analyze37.0ms (2.6%)

sample16.0ms (1.2%)

simplify50.0ms (3.5%)

prune5.0ms (0.3%)

localize4.0ms (0.3%)

rewrite12.0ms (0.8%)

series11.0ms (0.8%)

simplify36.0ms (2.5%)

prune61.0ms (4.3%)

localize5.0ms (0.4%)

rewrite40.0ms (2.8%)

series28.0ms (2%)

simplify45.0ms (3.2%)

prune99.0ms (6.9%)

localize13.0ms (0.9%)

rewrite8.0ms (0.6%)

series92.0ms (6.5%)

simplify46.0ms (3.2%)

prune67.0ms (4.7%)

localize6.0ms (0.5%)

rewrite47.0ms (3.3%)

series54.0ms (3.8%)

simplify61.0ms (4.3%)

prune159.0ms (11.1%)

regimes112.0ms (7.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample309.0ms (21.6%)

Profiling