Details

analyze237.0ms (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
25%	74.9%	0.1%	4
37.5%	62.4%	0.1%	5
62.4%	37.5%	0.1%	6
87.4%	12.5%	0.1%	7
87.4%	12.5%	0.1%	8
93.7%	6.2%	0.1%	9
93.7%	6.2%	0.1%	10
96.8%	3.1%	0.1%	11
96.8%	3.1%	0.1%	12
98.3%	1.6%	0.1%	13
98.3%	1.6%	0.1%	14

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample16.0ms (0.5%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify235.0ms (6.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	756	10
1	756	10

prune6.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (+.f64 f n) (-.f64 n f))

rewrite15.0ms (0.5%)

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×	`associate-/r*_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
4×	`associate-/l*_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` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `flip-+_binary64`

Counts

1 → 45

Calls

1 calls:

10.0ms

(/.f64 (+.f64 f n) (-.f64 n f))

series105.0ms (3.1%)

Counts

1 → 3

Calls

1 calls:

105.0ms

(/.f64 (+.f64 f n) (-.f64 n f))

simplify61.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4962	802
1	4962	802

prune43.0ms (1.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	43	5	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	44	5	49

Merged error: 0b

Counts

49 → 5

Compiler

Compiled 734 to 174 computations (76.3% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))
0.0b	(/.f64 (-.f64 n f) (+.f64 f n))

rewrite46.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

178×	`times-frac_binary64`
174×	`*-un-lft-identity_binary64`
122×	`add-sqr-sqrt_binary64`
80×	`add-cube-cbrt_binary64`
30×	`associate-/r*_binary64`
26×	`distribute-lft-out_binary64`
21×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
15×	`add-exp-log_binary64`
11×	`associate-/r/_binary64`
9×	`add-cbrt-cube_binary64`
8×	`associate-/l*_binary64` `div-exp_binary64`
6×	`div-inv_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`cbrt-undiv_binary64`
3×	`pow1_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `1-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64`
1×	`flip3--_binary64` `div-sub_binary64` `inv-pow_binary64` `flip--_binary64` `pow-flip_binary64`

Counts

2 → 174

Calls

2 calls:

16.0ms	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))
8.0ms	(/.f64 (-.f64 n f) (+.f64 f n))

series184.0ms (5.4%)

Counts

2 → 6

Calls

2 calls:

98.0ms	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))
86.0ms	(/.f64 (-.f64 n f) (+.f64 f n))

simplify88.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	6235	3700

prune124.0ms (3.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	179	1	180
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	180	5	185

Merged error: 0b

Counts

185 → 5

Compiler

Compiled 3103 to 795 computations (74.4% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (-.f64 n f))
0.0b	(/.f64 (/.f64 1 (-.f64 n f)) (/.f64 1 (+.f64 f n)))
0.0b	(/.f64 1 (+.f64 f n))

rewrite130.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Rules

954×	`times-frac_binary64`
631×	`*-un-lft-identity_binary64`
491×	`add-sqr-sqrt_binary64`
369×	`add-cube-cbrt_binary64`
87×	`associate-/r/_binary64`
70×	`distribute-lft-out_binary64`
61×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
51×	`add-exp-log_binary64`
44×	`div-inv_binary64`
36×	`div-exp_binary64`
27×	`associate-/r_binary64` `associate-/l_binary64`
23×	`flip3-+_binary64` `flip-+_binary64`
20×	`flip3--_binary64` `flip--_binary64`
19×	`add-cbrt-cube_binary64`
10×	`1-exp_binary64` `cbrt-undiv_binary64` `rec-exp_binary64`
5×	`pow1_binary64`
3×	`add-log-exp_binary64` `clear-num_binary64` `frac-2neg_binary64`
2×	`inv-pow_binary64` `pow-flip_binary64`
1×	`associate-/l/_binary64`

Counts

3 → 527

Calls

3 calls:

24.0ms	(/.f64 (/.f64 1 (-.f64 n f)) (/.f64 1 (+.f64 f n)))
6.0ms	(/.f64 1 (-.f64 n f))
6.0ms	(/.f64 1 (+.f64 f n))

series179.0ms (5.3%)

Counts

3 → 9

Calls

3 calls:

94.0ms	(/.f64 (/.f64 1 (-.f64 n f)) (/.f64 1 (+.f64 f n)))
43.0ms	(/.f64 1 (-.f64 n f))
42.0ms	(/.f64 1 (+.f64 f n))

simplify182.0ms (5.3%)

Algorithm

1×	egg-herbie

Counts

536 → 536

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5098	14694

prune534.0ms (15.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	536	0	536
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	536	5	541

Merged error: 0b

Counts

541 → 5

Compiler

Compiled 11079 to 4117 computations (62.8% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
0.0b	(/.f64 (+.f64 f n) (-.f64 n f))

rewrite63.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

131×	`*-un-lft-identity_binary64`
85×	`add-sqr-sqrt_binary64`
80×	`times-frac_binary64`
47×	`add-cube-cbrt_binary64`
26×	`cbrt-prod_binary64`
23×	`distribute-lft-out_binary64`
19×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
15×	`associate-/r*_binary64`
12×	`associate-/l*_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`associate-/r/_binary64`
6×	`associate-/l/_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `div-inv_binary64` `flip--_binary64`
3×	`flip3-+_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64` `flip-+_binary64`
1×	`cbrt-div_binary64` `pow1/3_binary64`

Counts

4 → 170

Calls

4 calls:

9.0ms	(/.f64 (+.f64 f n) (-.f64 n f))
9.0ms	(/.f64 (+.f64 f n) (-.f64 n f))
9.0ms	(/.f64 (+.f64 f n) (-.f64 n f))
8.0ms	(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))

series420.0ms (12.3%)

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
85.0ms	(/.f64 (+.f64 f n) (-.f64 n f))
78.0ms	(/.f64 (+.f64 f n) (-.f64 n f))
75.0ms	(/.f64 (+.f64 f n) (-.f64 n f))

simplify86.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4933	3261
1	4933	3261

prune157.0ms (4.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	182	0	182
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	182	5	187

Merged error: 0b

Counts

187 → 5

Compiler

Compiled 6004 to 714 computations (88.1% saved)

regimes25.0ms (0.7%)

Compiler: Compiled 158 to 86 computations (45.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	16
1	20	16

end0.0ms (0%)

sample442.0ms (13%)

Algorithm

1×

intervals

Results

213.0ms

8000×

body

128

valid

Compiler

Compiled 97 to 57 computations (41.2% saved)

Details

analyze237.0ms (7%)

sample16.0ms (0.5%)

simplify235.0ms (6.9%)

prune6.0ms (0.2%)

localize6.0ms (0.2%)

rewrite15.0ms (0.5%)

series105.0ms (3.1%)

simplify61.0ms (1.8%)

prune43.0ms (1.3%)

localize6.0ms (0.2%)

rewrite46.0ms (1.3%)

series184.0ms (5.4%)

simplify88.0ms (2.6%)

prune124.0ms (3.7%)

localize7.0ms (0.2%)

rewrite130.0ms (3.8%)

series179.0ms (5.3%)

simplify182.0ms (5.3%)

prune534.0ms (15.7%)

localize8.0ms (0.2%)

rewrite63.0ms (1.9%)

series420.0ms (12.3%)

simplify86.0ms (2.5%)

prune157.0ms (4.6%)

regimes25.0ms (0.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample442.0ms (13%)

Profiling