Details

analyze34.0ms (0.9%)

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)

sample15.0ms (0.4%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

valid

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify222.0ms (5.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	783	10
1	783	10

prune6.0ms (0.1%)

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))

rewrite209.0ms (5.4%)

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` `insert-posit16` `flip--_binary64` `flip-+_binary64`

Counts

1 → 46

Calls

1 calls:

206.0ms

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

series100.0ms (2.6%)

Counts

1 → 3

Calls

1 calls:

100.0ms

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

simplify117.0ms (3%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	5382	814

prune40.0ms (1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	44	5	49
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	5	50

Merged error: 0.0b

Counts

50 → 5

Compiler

Compiled 754 to 185 computations (75.5% 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))

rewrite39.0ms (1%)

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` `insert-posit16`
1×	`flip3--_binary64` `div-sub_binary64` `inv-pow_binary64` `flip--_binary64` `pow-flip_binary64`

Counts

2 → 176

Calls

2 calls:

14.0ms	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))
12.0ms	(/.f64 (-.f64 n f) (+.f64 f n))

series191.0ms (4.9%)

Counts

2 → 6

Calls

2 calls:

96.0ms	(/.f64 (-.f64 n f) (+.f64 f n))
95.0ms	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))

simplify142.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	5063	3724

prune132.0ms (3.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	181	1	182
Fresh	0	4	4
Picked	1	0	1
Done	0	0	0
Total	182	5	187

Merged error: 0b

Counts

187 → 5

Compiler

Compiled 3143 to 817 computations (74% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite91.0ms (2.3%)

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` `insert-posit16`
2×	`inv-pow_binary64` `pow-flip_binary64`
1×	`associate-/l/_binary64`

Counts

3 → 530

Calls

3 calls:

27.0ms	(/.f64 (/.f64 1 (-.f64 n f)) (/.f64 1 (+.f64 f n)))
7.0ms	(/.f64 1 (-.f64 n f))
6.0ms	(/.f64 1 (+.f64 f n))

series210.0ms (5.4%)

Counts

3 → 9

Calls

3 calls:

95.0ms	(/.f64 (/.f64 1 (-.f64 n f)) (/.f64 1 (+.f64 f n)))
65.0ms	(/.f64 1 (+.f64 f n))
50.0ms	(/.f64 1 (-.f64 n f))

simplify246.0ms (6.4%)

Algorithm

1×	egg-herbie

Counts

539 → 539

Iterations

Useful iterations: 0 (107.0ms)

Iter	Nodes	Cost
0	4976	14724
1	4976	14724

prune509.0ms (13.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	539	0	539
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	539	5	544

Merged error: 0b

Counts

544 → 5

Compiler

Compiled 11134 to 4127 computations (62.9% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite92.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

316×	`*-un-lft-identity_binary64`
191×	`times-frac_binary64`
188×	`sqrt-prod_binary64`
187×	`add-sqr-sqrt_binary64`
88×	`add-cube-cbrt_binary64`
55×	`distribute-lft-out_binary64`
53×	`swap-sqr_binary64`
46×	`distribute-lft-out--_binary64`
34×	`difference-of-squares_binary64`
29×	`associate-r_binary64` `associate-l_binary64`
20×	`pow1_binary64`
14×	`associate-/r/_binary64`
10×	`associate-/r*_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow1/2_binary64` `sqrt-pow1_binary64` `unswap-sqr_binary64`
8×	`associate-/l*_binary64`
7×	`flip3--_binary64` `div-inv_binary64` `flip--_binary64`
5×	`pow-prod-up_binary64` `sqrt-div_binary64`
4×	`associate-/l/_binary64` `add-log-exp_binary64` `insert-posit16`
3×	`pow-prod-down_binary64` `pow-sqr_binary64`
2×	`flip3-+_binary64` `cbrt-undiv_binary64` `rem-sqrt-square_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64` `flip-+_binary64`
1×	`cbrt-unprod_binary64` `rem-square-sqrt_binary64` `associate-r/_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `prod-exp_binary64` `frac-times_binary64` `pow2_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 280

Calls

4 calls:

37.0ms	(*.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
10.0ms	(/.f64 (+.f64 f n) (-.f64 n f))
10.0ms	(/.f64 (+.f64 f n) (-.f64 n f))
9.0ms	(sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))

series591.0ms (15.3%)

Counts

4 → 12

Calls

4 calls:

284.0ms	(sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
135.0ms	(*.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
92.0ms	(/.f64 (+.f64 f n) (-.f64 n f))
79.0ms	(/.f64 (+.f64 f n) (-.f64 n f))

simplify162.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

292 → 292

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	4920	5464
1	4920	5464

prune209.0ms (5.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	292	0	292
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	292	5	297

Merged error: 0b

Counts

297 → 5

Compiler

Compiled 6118 to 865 computations (85.9% saved)

regimes27.0ms (0.7%)

Compiler: Compiled 180 to 104 computations (42.2% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	21	16
1	21	16

end0.0ms (0%)

sample452.0ms (11.7%)

Algorithm

1×

intervals

Results

209.0ms

8000×

body

valid

Compiler

Compiled 108 to 66 computations (38.9% saved)

Details

analyze34.0ms (0.9%)

sample15.0ms (0.4%)

simplify222.0ms (5.7%)

prune6.0ms (0.1%)

localize6.0ms (0.2%)

rewrite209.0ms (5.4%)

series100.0ms (2.6%)

simplify117.0ms (3%)

prune40.0ms (1%)

localize6.0ms (0.2%)

rewrite39.0ms (1%)

series191.0ms (4.9%)

simplify142.0ms (3.7%)

prune132.0ms (3.4%)

localize7.0ms (0.2%)

rewrite91.0ms (2.3%)

series210.0ms (5.4%)

simplify246.0ms (6.4%)

prune509.0ms (13.2%)

localize7.0ms (0.2%)

rewrite92.0ms (2.4%)

series591.0ms (15.3%)

simplify162.0ms (4.2%)

prune209.0ms (5.4%)

regimes27.0ms (0.7%)

bsearch0.0ms (0%)

simplify6.0ms (0.2%)

end0.0ms (0%)

sample452.0ms (11.7%)

Profiling