Details

analyze128.0ms (4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	11
1	71	11
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
100%	0%	0%	1

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample28.0ms (0.9%)

Algorithm

1×

intervals

Results

10.0ms	62×	body	2048	valid
4.0ms	38×	body	1024	valid
4.0ms	135×	body	128	valid
1.0ms	16×	body	512	valid
0.0ms	5×	body	256	valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify18.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	71	11
1	71	11

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

Error

15.5b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.6b	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

rewrite24.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

14.9b

Rules

4×	`add-sqr-sqrt_binary64_2487` `*-un-lft-identity_binary64_2465`
3×	`add-log-exp_binary64_2504` `cancel-sign-sub-inv_binary64_2431`
2×	`add-cube-cbrt_binary64_2500`
1×	`diff-atan_binary64_2622` `diff-log_binary64_2557` `pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `flip3--_binary64_2469` `sub-neg_binary64_2458` `flip--_binary64_2440` `difference-of-squares_binary64_2434` `distribute-lft-out--_binary64_2417`

Counts

1 → 17

Calls

1 calls:

4.0ms

(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Compiler

Compiled 260 to 165 computations (36.5% saved)

series24.0ms (0.7%)

Error

15.5b

Counts

1 → 3

Calls

1 calls:

18.0ms

(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Compiler

Compiled 63 to 50 computations (20.6% saved)

simplify71.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4992	306
1	4992	306

prune19.0ms (0.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	18	2	20
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	19	2	21

Error

0.6b

Counts

21 → 2

Compiler

Compiled 267 to 174 computations (34.8% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.6b	(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))

rewrite11.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

1×	`pow1_binary64_2526` `add-log-exp_binary64_2504` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487` `*-un-lft-identity_binary64_2465`

Counts

1 → 7

Calls

1 calls:

0.0ms

(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))

Compiler

Compiled 127 to 104 computations (18.1% saved)

series22.0ms (0.7%)

Error

0.6b

Counts

1 → 3

Calls

1 calls:

19.0ms

(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))

Compiler

Compiled 81 to 70 computations (13.6% saved)

simplify206.0ms (6.5%)

Algorithm

1×	egg-herbie

Counts

10 → 10

Iterations

Useful iterations: 0 (197.0ms)

Iter	Nodes	Cost
0	4793	162
1	4793	162

prune24.0ms (0.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	7	3	10
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	8	4	12

Error

0.6b

Counts

12 → 4

Compiler

Compiled 201 to 137 computations (31.8% saved)

localize16.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b	(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
0.6b	(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
13.8b	(sqrt.f64 (atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N)))))
13.8b	(sqrt.f64 (atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N)))))

rewrite71.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

8×	`add-sqr-sqrt_binary64_2487`
6×	`pow1_binary64_2526` `add-cube-cbrt_binary64_2500` `sqrt-prod_binary64_2481` `*-un-lft-identity_binary64_2465`
4×	`add-log-exp_binary64_2504` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
2×	`pow1/2_binary64_2545` `sqrt-pow1_binary64_2483` `rem-sqrt-square_binary64_2478`

Counts

4 → 40

Calls

4 calls:

2.0ms	(sqrt.f64 (atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N)))))
1.0ms	(sqrt.f64 (atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N)))))
1.0ms	(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
0.0ms	(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))

Compiler

Compiled 1196 to 774 computations (35.3% saved)

series124.0ms (3.9%)

Error

0.6b

Counts

4 → 12

Calls

4 calls:

34.0ms	(sqrt.f64 (atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N)))))
32.0ms	(sqrt.f64 (atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N)))))
26.0ms	(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
19.0ms	(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))

Compiler

Compiled 756 to 590 computations (22% saved)

simplify104.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4895	862
1	4895	862

prune70.0ms (2.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	50	2	52
Fresh	2	0	2
Picked	0	1	1
Done	0	1	1
Total	52	4	56

Error

0.6b

Counts

56 → 4

Compiler

Compiled 1422 to 920 computations (35.3% saved)

localize16.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b	(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
13.8b	(sqrt.f64 (atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N)))))
13.8b	(sqrt.f64 (atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N)))))
13.8b	(sqrt.f64 (atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N)))))

rewrite110.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

10×	`add-sqr-sqrt_binary64_2487`
9×	`sqrt-prod_binary64_2481`
7×	`pow1_binary64_2526` `add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
4×	`add-log-exp_binary64_2504` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
3×	`pow1/2_binary64_2545` `sqrt-pow1_binary64_2483` `rem-sqrt-square_binary64_2478`

Counts

4 → 46

Calls

4 calls:

1.0ms	(sqrt.f64 (atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N)))))
1.0ms	(sqrt.f64 (atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N)))))
1.0ms	(sqrt.f64 (atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N)))))
1.0ms	(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))

Compiler

Compiled 1970 to 1304 computations (33.8% saved)

series144.0ms (4.5%)

Error

0.6b

Counts

4 → 12

Calls

4 calls:

37.0ms	(sqrt.f64 (atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N)))))
35.0ms	(sqrt.f64 (atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N)))))
33.0ms	(sqrt.f64 (atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N)))))
20.0ms	(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))

Compiler

Compiled 1224 to 914 computations (25.3% saved)

simplify99.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4895	969
1	4895	969

prune133.0ms (4.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	57	1	58
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	57	5	62

Error

0.6b

Counts

62 → 5

Compiler

Compiled 2258 to 1492 computations (33.9% saved)

regimes82.0ms (2.6%)

Accuracy

Total 0.1b remaining (11.3%)

Threshold costs 0.1b (11.3%)

Compiler

Compiled 864 to 657 computations (24% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	13
1	11	13

end0.0ms (0%)

sample1.6s (51.1%)

Algorithm

1×

intervals

Results

454.0ms	2093×	body	2048	valid
171.0ms	1014×	body	1024	valid
166.0ms	4130×	body	128	valid
62.0ms	506×	body	512	valid
20.0ms	257×	body	256	valid

Compiler

Compiled 432 to 331 computations (23.4% saved)

Details

analyze128.0ms (4%)

sample28.0ms (0.9%)

simplify18.0ms (0.6%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite24.0ms (0.7%)

series24.0ms (0.7%)

simplify71.0ms (2.2%)

prune19.0ms (0.6%)

localize5.0ms (0.2%)

rewrite11.0ms (0.3%)

series22.0ms (0.7%)

simplify206.0ms (6.5%)

prune24.0ms (0.8%)

localize16.0ms (0.5%)

rewrite71.0ms (2.2%)

series124.0ms (3.9%)

simplify104.0ms (3.3%)

prune70.0ms (2.2%)

localize16.0ms (0.5%)

rewrite110.0ms (3.4%)

series144.0ms (4.5%)

simplify99.0ms (3.1%)

prune133.0ms (4.2%)

regimes82.0ms (2.6%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.6s (51.1%)

Profiling