Details

analyze68.0ms (6%)

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	3×	body	128	invalid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify193.0ms (17%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	546	13
1	546	13

prune4.0ms (0.3%)

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 29 to 26 computations (10.3% saved)

localize8.0ms (0.7%)

Local error

Found 1 expressions with local error:

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

rewrite10.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_2120`
7×	`associate-r_binary64_2041`
6×	`*-un-lft-identity_binary64_2099`
3×	`associate-l_binary64_2042` `add-cube-cbrt_binary64_2131` `add-cbrt-cube_binary64_2132` `pow1_binary64_2157` `add-exp-log_binary64_2134`
2×	`difference-of-squares_binary64_2068` `sub-neg_binary64_2092` `associate-*r/_binary64_2043`
1×	`distribute-rgt-in_binary64_2051` `*-commutative_binary64_2032` `distribute-lft-in_binary64_2050` `prod-exp_binary64_2145` `add-log-exp_binary64_2135` `pow-prod-down_binary64_2167` `flip3--_binary64_2103` `flip--_binary64_2074` `unswap-sqr_binary64_2067` `difference-of-sqr-1_binary64_2069` `distribute-lft-out--_binary64_2053` `cbrt-unprod_binary64_2129`

Counts

1 → 26

Calls

1 calls:

8.0ms

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

series42.0ms (3.7%)

Counts

1 → 3

Calls

1 calls:

41.0ms

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

simplify91.0ms (8%)

Algorithm

1×	egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4828	258
1	4828	258

prune28.0ms (2.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	29	0	29
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	29	2	31

Merged error: 0b

Counts

31 → 2

Compiler

Compiled 450 to 326 computations (27.6% saved)

localize6.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

rewrite18.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_2120` `*-un-lft-identity_binary64_2099`
4×	`add-cube-cbrt_binary64_2131` `add-cbrt-cube_binary64_2132` `pow1_binary64_2157` `add-log-exp_binary64_2135` `associate-r_binary64_2041` `add-exp-log_binary64_2134`
3×	`associate-l_binary64_2042`
2×	`associate-*r/_binary64_2043` `associate--l+_binary64_2038` `distribute-rgt-in_binary64_2051` `distribute-lft-in_binary64_2050`
1×	`sub-neg_binary64_2092` `distribute-lft-out_binary64_2052` `flip3-+_binary64_2102` `*-commutative_binary64_2032` `prod-exp_binary64_2145` `pow-prod-down_binary64_2167` `flip3--_binary64_2103` `flip--_binary64_2074` `unswap-sqr_binary64_2067` `flip-+_binary64_2073` `cbrt-unprod_binary64_2129` `diff-log_binary64_2188`

Counts

2 → 36

Calls

2 calls:

8.0ms	(-.f64 (*.f64 y (+.f64 x -1/2)) x)
7.0ms	(*.f64 y (+.f64 x -1/2))

series71.0ms (6.3%)

Counts

2 → 6

Calls

2 calls:

40.0ms	(*.f64 y (+.f64 x -1/2))
31.0ms	(-.f64 (*.f64 y (+.f64 x -1/2)) x)

simplify64.0ms (5.6%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4984	464
1	4984	464

prune31.0ms (2.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Merged error: 0b

Counts

44 → 2

Compiler

Compiled 568 to 389 computations (31.5% saved)

regimes38.0ms (3.4%)

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

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	56	16
1	56	16

end0.0ms (0%)

sample447.0ms (39.4%)

Algorithm

1×

intervals

Results

242.0ms	7999×	body	128	valid
2.0ms	58×	body	128	invalid
0.0ms	1×	body	1024	valid

Compiler

Compiled 43 to 41 computations (4.7% saved)

Details

analyze68.0ms (6%)

sample14.0ms (1.2%)

simplify193.0ms (17%)

prune4.0ms (0.3%)

localize8.0ms (0.7%)

rewrite10.0ms (0.9%)

series42.0ms (3.7%)

simplify91.0ms (8%)

prune28.0ms (2.4%)

localize6.0ms (0.5%)

rewrite18.0ms (1.5%)

series71.0ms (6.3%)

simplify64.0ms (5.6%)

prune31.0ms (2.8%)

regimes38.0ms (3.4%)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

end0.0ms (0%)

sample447.0ms (39.4%)

Profiling