Details

analyze70.0ms (6.3%)

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
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
50%	50%	0.1%	6
56.2%	37.5%	6.3%	7
68.7%	25%	6.3%	8
71.8%	18.7%	9.5%	9
78%	12.5%	9.5%	10
79.6%	9.4%	11%	11
82.7%	6.2%	11%	12
83.6%	4.6%	11.8%	13
85.1%	3.1%	11.8%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample14.0ms (1.2%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify193.0ms (17.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	546	13
1	546	13

prune5.0ms (0.4%)

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

Merged error: 0b

Counts

2 → 2

Compiler

Compiled 49 to 44 computations (10.2% saved)

localize6.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

rewrite16.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-sqr-sqrt_binary64_1821` `*-un-lft-identity_binary64_1799`
5×	`add-cube-cbrt_binary64_1834`
4×	`pow1_binary64_1860` `add-log-exp_binary64_1838` `add-cbrt-cube_binary64_1835` `add-exp-log_binary64_1837` `associate-r_binary64_1739`
3×	`associate-l_binary64_1740` `cancel-sign-sub-inv_binary64_1765`
2×	`distribute-rgt-in_binary64_1749` `distribute-lft-in_binary64_1748` `associate--l+_binary64_1736` `associate-*r/_binary64_1741`
1×	`sub-neg_binary64_1792` `prod-exp_binary64_1848` `unswap-sqr_binary64_1767` `diff-log_binary64_1891` `flip--_binary64_1774` `flip3--_binary64_1803` `cbrt-unprod_binary64_1832` `*-commutative_binary64_1730` `pow-prod-down_binary64_1870` `distribute-lft-out_binary64_1750` `flip3-+_binary64_1802` `flip-+_binary64_1773`

Counts

2 → 39

Calls

2 calls:

7.0ms	(-.f64 (*.f64 y (+.f64 x -1/2)) x)
7.0ms	(*.f64 y (+.f64 x -1/2))

series74.0ms (6.6%)

Counts

2 → 6

Calls

2 calls:

43.0ms	(*.f64 y (+.f64 x -1/2))
31.0ms	(-.f64 (*.f64 y (+.f64 x -1/2)) x)

simplify53.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4957	473
1	4957	473

prune36.0ms (3.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	45	2	47

Merged error: 0b

Counts

47 → 2

Compiler

Compiled 609 to 417 computations (31.5% saved)

localize7.0ms (0.6%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 x (-.f64 y 1))

rewrite11.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_1821`
8×	`*-un-lft-identity_binary64_1799`
7×	`associate-r_binary64_1739`
6×	`cancel-sign-sub-inv_binary64_1765`
5×	`add-cube-cbrt_binary64_1834`
4×	`distribute-rgt-in_binary64_1749` `distribute-lft-in_binary64_1748`
3×	`pow1_binary64_1860` `associate-l_binary64_1740` `add-cbrt-cube_binary64_1835` `add-exp-log_binary64_1837`
2×	`sub-neg_binary64_1792` `associate-*r/_binary64_1741` `difference-of-squares_binary64_1768`
1×	`add-log-exp_binary64_1838` `prod-exp_binary64_1848` `unswap-sqr_binary64_1767` `flip--_binary64_1774` `difference-of-sqr-1_binary64_1769` `flip3--_binary64_1803` `cbrt-unprod_binary64_1832` `*-commutative_binary64_1730` `pow-prod-down_binary64_1870` `distribute-lft-out--_binary64_1751`

Counts

1 → 32

Calls

1 calls:

8.0ms

(*.f64 x (-.f64 y 1))

series41.0ms (3.6%)

Counts

1 → 3

Calls

1 calls:

41.0ms

(*.f64 x (-.f64 y 1))

simplify70.0ms (6.3%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4917	300
1	4917	300

prune28.0ms (2.5%)

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

Merged error: 0b

Counts

37 → 2

Compiler

Compiled 513 to 348 computations (32.2% saved)

regimes37.0ms (3.3%)

Compiler: Compiled 124 to 116 computations (6.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	13
1	22	13

end0.0ms (0%)

sample455.0ms (40.7%)

Algorithm

1×

intervals

Results

251.0ms	7993×	body	128	valid
2.0ms	55×	body	128	invalid
1.0ms	5×	body	1024	valid
0.0ms	1×	body	512	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 41 to 39 computations (4.9% saved)

Details

analyze70.0ms (6.3%)

sample14.0ms (1.2%)

simplify193.0ms (17.3%)

prune5.0ms (0.4%)

localize6.0ms (0.5%)

rewrite16.0ms (1.5%)

series74.0ms (6.6%)

simplify53.0ms (4.7%)

prune36.0ms (3.2%)

localize7.0ms (0.6%)

rewrite11.0ms (1%)

series41.0ms (3.6%)

simplify70.0ms (6.3%)

prune28.0ms (2.5%)

regimes37.0ms (3.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample455.0ms (40.7%)

Profiling