Details

analyze580.0ms (15.2%)

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)

sample77.0ms (2%)

Algorithm

1×

intervals

Results

29.0ms	137×	body	2048	nan
14.0ms	256×	body	128	valid
10.0ms	64×	body	1024	nan
3.0ms	24×	body	512	nan
1.0ms	14×	body	256	nan
1.0ms	16×	body	128	nan

Compiler

Compiled 19 to 16 computations (15.8% saved)

simplify173.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (166.0ms)

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

34.9b

Counts

2 → 1

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
32.4b	(sqrt.f64 (-.f64 (*.f64 x x) 1))

rewrite62.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`sqrt-prod_binary64_1458` `*-un-lft-identity_binary64_1442`
5×	`add-sqr-sqrt_binary64_1464`
4×	`add-log-exp_binary64_1481`
3×	`pow1_binary64_1503` `add-cube-cbrt_binary64_1477`
2×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `sqrt-div_binary64_1459` `difference-of-squares_binary64_1411`
1×	`pow1/2_binary64_1522` `sqrt-pow1_binary64_1460` `flip3--_binary64_1446` `flip--_binary64_1417` `difference-of-sqr-1_binary64_1412` `rem-sqrt-square_binary64_1455` `sum-log_binary64_1533` `flip3-+_binary64_1445` `flip-+_binary64_1416` `distribute-lft-out_binary64_1393` `+-commutative_binary64_1372`

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)

series82.0ms (2.2%)

Error

Counts

2 → 12

Calls

2 calls:

37.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
27.0ms	(sqrt.f64 (-.f64 (*.f64 x x) 1))

Compiler

Compiled 311 to 264 computations (15.1% saved)

simplify94.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	5081	540

prune34.0ms (0.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	2	43

Error

Counts

43 → 2

Compiler

Compiled 542 to 352 computations (35.1% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite39.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`associate-+r+_binary64_1374`
13×	`*-un-lft-identity_binary64_1442` `cancel-sign-sub-inv_binary64_1408`
9×	`times-frac_binary64_1448`
8×	`add-cube-cbrt_binary64_1477` `add-sqr-sqrt_binary64_1464`
6×	`add-log-exp_binary64_1481`
2×	`sum-log_binary64_1533` `distribute-lft-out_binary64_1393`
1×	`diff-log_binary64_1534` `pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `flip3-+_binary64_1445` `flip-+_binary64_1416` `distribute-lft-out--_binary64_1394` `associate-+r-_binary64_1376` `sub-neg_binary64_1435` `div-inv_binary64_1439` `+-commutative_binary64_1372`

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)

series74.0ms (2%)

Error

Counts

1 → 6

Calls

1 calls:

68.0ms

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

Compiler

Compiled 114 to 100 computations (12.3% saved)

simplify96.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4953	297
1	4953	297

prune32.0ms (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)

regimes39.0ms (1%)

Accuracy

Total 0.0b remaining (2.6%)

Threshold costs 0.0b (2.6%)

Compiler

Compiled 150 to 121 computations (19.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	19
1	23	19

end0.0ms (0%)

sample2.4s (63.4%)

Algorithm

1×

intervals

Results

822.0ms	4031×	body	2048	nan
440.0ms	8000×	body	128	valid
318.0ms	2004×	body	1024	nan
118.0ms	985×	body	512	nan
43.0ms	485×	body	256	nan
26.0ms	522×	body	128	nan
1.0ms	4×	body	4096	nan

Compiler

Compiled 60 to 50 computations (16.7% saved)

Details

analyze580.0ms (15.2%)

sample77.0ms (2%)

simplify173.0ms (4.5%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite62.0ms (1.6%)

series82.0ms (2.2%)

simplify94.0ms (2.5%)

prune34.0ms (0.9%)

localize6.0ms (0.1%)

rewrite39.0ms (1%)

series74.0ms (2%)

simplify96.0ms (2.5%)

prune32.0ms (0.8%)

regimes39.0ms (1%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.4s (63.4%)

Profiling