Details

analyze500.0ms (16.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4922	14
1	4922	14
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
25%	50%	25%	4
25%	37.5%	37.5%	5
25%	31.2%	43.8%	6
25%	28.1%	46.9%	7
25%	26.5%	48.5%	8
25%	25.8%	49.2%	9
25%	25.4%	49.6%	10
25%	25.2%	49.8%	11
25%	25.1%	49.9%	12
25%	25%	50%	13
25%	25%	50%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample60.0ms (1.9%)

Algorithm

1×

intervals

Results

22.0ms	140×	body	2048	nan
11.0ms	256×	body	128	valid
8.0ms	63×	body	1024	nan
3.0ms	28×	body	512	nan
1.0ms	22×	body	128	nan
1.0ms	11×	body	256	nan

Compiler

Compiled 19 to 16 computations (15.8% saved)

simplify146.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (140.0ms)

Iter	Nodes	Cost
0	4922	14
1	4922	14

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

31.9b

Counts

2 → 1

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
29.8b	(sqrt.f64 (-.f64 (*.f64 x x) 1))

rewrite43.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`sqrt-prod_binary64_776` `*-un-lft-identity_binary64_760`
5×	`add-sqr-sqrt_binary64_782`
4×	`add-log-exp_binary64_799`
3×	`pow1_binary64_821` `add-cube-cbrt_binary64_795`
2×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `sqrt-div_binary64_777` `difference-of-squares_binary64_729`
1×	`pow1/2_binary64_840` `sqrt-pow1_binary64_778` `flip3--_binary64_764` `flip--_binary64_735` `difference-of-sqr-1_binary64_730` `rem-sqrt-square_binary64_773` `sum-log_binary64_851` `flip3-+_binary64_763` `flip-+_binary64_734` `distribute-lft-out_binary64_711` `+-commutative_binary64_690`

Counts

2 → 30

Calls

2 calls:

7.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
5.0ms	(sqrt.f64 (-.f64 (*.f64 x x) 1))

Compiler

Compiled 512 to 315 computations (38.5% saved)

series74.0ms (2.4%)

Error

Counts

2 → 13

Calls

2 calls:

32.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
30.0ms	(sqrt.f64 (-.f64 (*.f64 x x) 1))

Compiler

Compiled 339 to 286 computations (15.6% saved)

simplify67.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5073	547

prune34.0ms (1.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	2	44

Error

Counts

44 → 2

Compiler

Compiled 550 to 357 computations (35.1% saved)

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 x (-.f64 x (/.f64 1/2 x)))

rewrite37.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`associate-+r+_binary64_692`
13×	`*-un-lft-identity_binary64_760` `cancel-sign-sub-inv_binary64_726`
9×	`times-frac_binary64_766`
8×	`add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782`
6×	`add-log-exp_binary64_799`
2×	`sum-log_binary64_851` `distribute-lft-out_binary64_711`
1×	`diff-log_binary64_852` `pow1_binary64_821` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `flip3-+_binary64_763` `flip-+_binary64_734` `distribute-lft-out--_binary64_712` `associate-+r-_binary64_694` `sub-neg_binary64_753` `div-inv_binary64_757` `+-commutative_binary64_690`

Counts

1 → 29

Calls

1 calls:

11.0ms

(+.f64 x (-.f64 x (/.f64 1/2 x)))

Compiler

Compiled 454 to 294 computations (35.2% saved)

series58.0ms (1.9%)

Error

Counts

1 → 6

Calls

1 calls:

52.0ms

(+.f64 x (-.f64 x (/.f64 1/2 x)))

Compiler

Compiled 114 to 100 computations (12.3% saved)

simplify72.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4953	297
1	4953	297

prune25.0ms (0.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	35	2	37

Error

Counts

37 → 2

Compiler

Compiled 453 to 281 computations (38% saved)

regimes42.0ms (1.4%)

Accuracy

Total 0.0b remaining (1.9%)

Threshold costs 0.0b (1.9%)

Compiler

Compiled 150 to 121 computations (19.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	19
1	23	19

end0.0ms (0%)

sample1.9s (62.1%)

Algorithm

1×

intervals

Results

670.0ms	4045×	body	2048	nan
354.0ms	8000×	body	128	valid
245.0ms	1942×	body	1024	nan
91.0ms	962×	body	512	nan
32.0ms	500×	body	256	nan
21.0ms	463×	body	128	nan
2.0ms	9×	body	4096	nan

Compiler

Compiled 60 to 50 computations (16.7% saved)

Details

analyze500.0ms (16.1%)

sample60.0ms (1.9%)

simplify146.0ms (4.7%)

prune2.0ms (0.1%)

localize7.0ms (0.2%)

rewrite43.0ms (1.4%)

series74.0ms (2.4%)

simplify67.0ms (2.2%)

prune34.0ms (1.1%)

localize8.0ms (0.3%)

rewrite37.0ms (1.2%)

series58.0ms (1.9%)

simplify72.0ms (2.3%)

prune25.0ms (0.8%)

regimes42.0ms (1.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.9s (62.1%)

Profiling