Details

analyze67.0ms (6.6%)

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)

sample13.0ms (1.3%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	80	valid
0.0ms	2×	body	80	invalid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify39.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	565	13
1	565	13

prune6.0ms (0.6%)

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)

localize9.0ms (0.9%)

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)

rewrite14.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-l_binary64`
2×	`associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate--l+_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

2 → 36

Calls

2 calls:

7.0ms	(-.f64 (*.f64 y (+.f64 x -1/2)) x)
6.0ms	(*.f64 y (+.f64 x -1/2))

series10.0ms (1%)

Counts

2 → 6

Calls

2 calls:

5.0ms	(*.f64 y (+.f64 x -1/2))
5.0ms	(-.f64 (*.f64 y (+.f64 x -1/2)) x)

simplify87.0ms (8.6%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5962	464

prune29.0ms (2.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Merged error: 0b

Counts

44 → 2

Compiler

Compiled 579 to 399 computations (31.1% saved)

localize7.0ms (0.7%)

Local error

Found 2 expressions with local error:

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

rewrite16.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64`
7×	`-un-lft-identity_binary64` `associate-r*_binary64`
5×	`sub-neg_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-l_binary64`
2×	`flip3--_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `difference-of-squares_binary64` `flip--_binary64` `associate--l+_binary64`
1×	`pow-prod-down_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `difference-of-sqr-1_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64`

Counts

2 → 39

Calls

2 calls:

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

series10.0ms (1%)

Counts

2 → 6

Calls

2 calls:

5.0ms	(*.f64 x (-.f64 y 1))
5.0ms	(-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2))

simplify88.0ms (8.7%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	6274	496

prune30.0ms (3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Merged error: 0b

Counts

47 → 2

Compiler

Compiled 679 to 483 computations (28.9% saved)

regimes84.0ms (8.3%)

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

bsearch0.0ms (0%)

simplify3.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	13
1	22	13

end0.0ms (0%)

sample501.0ms (49.5%)

Algorithm

1×

intervals

Results

215.0ms	7993×	body	80	valid
2.0ms	85×	body	80	invalid
1.0ms	4×	body	1280	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	640	valid

Compiler

Compiled 41 to 39 computations (4.9% saved)

Details

analyze67.0ms (6.6%)

sample13.0ms (1.3%)

simplify39.0ms (3.8%)

prune6.0ms (0.6%)

localize9.0ms (0.9%)

rewrite14.0ms (1.4%)

series10.0ms (1%)

simplify87.0ms (8.6%)

prune29.0ms (2.8%)

localize7.0ms (0.7%)

rewrite16.0ms (1.6%)

series10.0ms (1%)

simplify88.0ms (8.7%)

prune30.0ms (3%)

regimes84.0ms (8.3%)

bsearch0.0ms (0%)

simplify3.0ms (0.3%)

end0.0ms (0%)

sample501.0ms (49.5%)

Profiling