Details

analyze75.0ms (4.6%)

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
25%	62.4%	12.6%	6
25%	50%	25.1%	7
31.2%	37.5%	31.3%	8
39%	24.2%	36.8%	9
42.9%	18.3%	38.7%	10
47.2%	11.9%	40.9%	11
49.4%	9.1%	41.6%	12
51.6%	5.9%	42.5%	13
52.7%	4.5%	42.8%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample12.0ms (0.8%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify452.0ms (27.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (361.0ms)

Iter	Nodes	Cost
0	10525	10

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

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (.f64 a a) (.f64 b b))
0.0b	(-.f64 (.f64 a a) (.f64 b b))

rewrite6.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_2108`
1×	`flip--_binary64_2044` `add-sqr-sqrt_binary64_2091` `difference-of-squares_binary64_2038` `add-exp-log_binary64_2107` `cancel-sign-sub-inv_binary64_2035` `pow1_binary64_2130` `*-un-lft-identity_binary64_2069` `diff-log_binary64_2161` `add-cbrt-cube_binary64_2105` `flip3--_binary64_2073` `sub-neg_binary64_2062` `add-cube-cbrt_binary64_2104`

Counts

1 → 13

Calls

2 calls:

5.0ms	(-.f64 (.f64 a a) (.f64 b b))
0.0ms	(-.f64 (.f64 a a) (.f64 b b))

series93.0ms (5.7%)

Counts

1 → 12

Calls

1 calls:

93.0ms

(-.f64 (*.f64 a a) (*.f64 b b))

Compiler

Compiled 108 to 114 computations (-5.6% saved)

simplify43.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4867	273
1	4867	273

prune15.0ms (0.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	24	1	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	2	26

Error

Counts

26 → 2

Compiler

Compiled 229 to 52 computations (77.3% saved)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (+.f64 a b) (-.f64 a b))
0.0b	(*.f64 (+.f64 a b) (-.f64 a b))

rewrite13.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_2091` `*-un-lft-identity_binary64_2069`
6×	`cancel-sign-sub-inv_binary64_2035`
5×	`associate-r_binary64_2009` `add-cube-cbrt_binary64_2104`
4×	`frac-times_binary64_2079` `associate-l_binary64_2010` `distribute-rgt-in_binary64_2019` `distribute-lft-in_binary64_2018`
3×	`flip--_binary64_2044` `add-exp-log_binary64_2107` `flip-+_binary64_2043` `pow1_binary64_2130` `add-cbrt-cube_binary64_2105` `flip3--_binary64_2073` `flip3-+_binary64_2072`
2×	`associate-l/_binary64_2012` `associate-r/_binary64_2011` `sub-neg_binary64_2062`
1×	`add-log-exp_binary64_2108` `prod-exp_binary64_2118` `difference-of-squares_binary64_2038` `cbrt-unprod_binary64_2102` `*-commutative_binary64_2000` `distribute-lft-out_binary64_2020` `unswap-sqr_binary64_2037` `distribute-lft-out--_binary64_2021` `pow-prod-down_binary64_2140`

Counts

1 → 37

Calls

2 calls:

10.0ms	(*.f64 (+.f64 a b) (-.f64 a b))
0.0ms	(*.f64 (+.f64 a b) (-.f64 a b))

series105.0ms (6.4%)

Counts

1 → 12

Calls

1 calls:

105.0ms

(*.f64 (+.f64 a b) (-.f64 a b))

Compiler

Compiled 108 to 114 computations (-5.6% saved)

simplify70.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4942	706
1	4942	706

prune26.0ms (1.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	49	2	51

Error

Counts

51 → 2

Compiler

Compiled 603 to 120 computations (80.1% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	30
1	31	30

regimes83.0ms (5.1%)

Accuracy

Total 0.0b remaining (66.7%)

Threshold costs 0.0b (66.7%)

Compiler

Compiled 220 to 238 computations (-8.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	10
1	18	10

end0.0ms (0%)

sample617.0ms (38%)

Algorithm

1×

intervals

Results

174.0ms	8000×	body	128	valid
3.0ms	133×	body	128	invalid

Compiler

Compiled 87 to 91 computations (-4.6% saved)

Pareto

0.1315305344108342

Details

analyze75.0ms (4.6%)

sample12.0ms (0.8%)

simplify452.0ms (27.8%)

prune2.0ms (0.1%)

localize4.0ms (0.3%)

rewrite6.0ms (0.4%)

series93.0ms (5.7%)

simplify43.0ms (2.7%)

prune15.0ms (0.9%)

localize4.0ms (0.3%)

rewrite13.0ms (0.8%)

series105.0ms (6.4%)

simplify70.0ms (4.3%)

prune26.0ms (1.6%)

simplify2.0ms (0.1%)

regimes83.0ms (5.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample617.0ms (38%)

Profiling