Details

analyze73.0ms (5.7%)

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
12.5%	87.4%	0.1%	4
31.2%	68.7%	0.1%	5
43.7%	56.2%	0.1%	6
54.6%	42.1%	3.2%	7
63.2%	30.4%	6.3%	8
69.9%	21.5%	8.7%	9
75.3%	15.2%	9.5%	10
79%	10.1%	10.8%	11
82%	7%	11%	12
83.9%	4.4%	11.8%	13
84.7%	3.5%	11.8%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample17.0ms (1.3%)

Algorithm

1×

intervals

Results

5.0ms	192×	body	128	valid
2.0ms	21×	body	1024	valid
2.0ms	26×	body	512	valid
1.0ms	17×	body	256	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 19 to 19 computations (0% saved)

simplify281.0ms (22%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (118.0ms)

Iter	Nodes	Cost
0	5485	10

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 23 to 20 computations (13% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite9.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-log-exp_binary64_15952`
2×	`sum-log_binary64_16004`
1×	`add-cube-cbrt_binary64_15948` `add-cbrt-cube_binary64_15949` `flip3-+_binary64_15919` `+-commutative_binary64_15848` `associate-+l-_binary64_15853` `pow1_binary64_15974` `associate-+l+_binary64_15851` `flip-+_binary64_15890` `add-sqr-sqrt_binary64_15937` `sub-neg_binary64_15909` `*-un-lft-identity_binary64_15916` `add-exp-log_binary64_15951` `diff-log_binary64_16005`

Counts

1 → 14

Calls

1 calls:

8.0ms

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

series30.0ms (2.4%)

Counts

1 → 3

Calls

1 calls:

30.0ms

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

simplify61.0ms (4.8%)

Algorithm

1×	egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5110	243

prune12.0ms (0.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	17	0	17
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	17	2	19

Merged error: 0b

Counts

19 → 2

Compiler

Compiled 212 to 119 computations (43.9% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 1 x) (-.f64 1 y))
3.2b	(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))

rewrite20.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_15937`
10×	`*-un-lft-identity_binary64_15916`
6×	`flip3--_binary64_15920` `associate-l_binary64_15859` `associate-r_binary64_15858` `flip--_binary64_15891`
4×	`add-cube-cbrt_binary64_15948` `add-cbrt-cube_binary64_15949` `frac-times_binary64_15926` `pow1_binary64_15974` `add-log-exp_binary64_15952` `sub-neg_binary64_15909` `add-exp-log_binary64_15951` `difference-of-squares_binary64_15885`
2×	`associate-r/_binary64_15860` `distribute-rgt-in_binary64_15868` `associate-l/_binary64_15861` `associate-+r+_binary64_15850` `distribute-lft-out--_binary64_15870` `distribute-lft-in_binary64_15867`
1×	`pow-prod-down_binary64_15984` `flip3-+_binary64_15919` `+-commutative_binary64_15848` `sum-log_binary64_16004` `*-commutative_binary64_15849` `prod-exp_binary64_15962` `cbrt-unprod_binary64_15946` `flip-+_binary64_15890` `unswap-sqr_binary64_15884`

Counts

2 → 47

Calls

2 calls:

11.0ms	(*.f64 (-.f64 1 x) (-.f64 1 y))
5.0ms	(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))

series60.0ms (4.7%)

Counts

2 → 6

Calls

2 calls:

35.0ms	(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
25.0ms	(*.f64 (-.f64 1 x) (-.f64 1 y))

simplify64.0ms (5%)

Algorithm

1×	egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5093	754

prune42.0ms (3.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	53	0	53
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	53	2	55

Merged error: 0b

Counts

55 → 2

Compiler

Compiled 772 to 498 computations (35.5% saved)

regimes39.0ms (3.1%)

Compiler: Compiled 124 to 120 computations (3.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	80	10
1	80	10

end0.0ms (0%)

sample553.0ms (43.3%)

Algorithm

1×

intervals

Results

164.0ms	5983×	body	128	valid
62.0ms	687×	body	1024	valid
55.0ms	809×	body	512	valid
24.0ms	515×	body	256	valid
4.0ms	65×	body	128	invalid
1.0ms	6×	body	2048	valid

Compiler

Compiled 48 to 46 computations (4.2% saved)

Details

analyze73.0ms (5.7%)

sample17.0ms (1.3%)

simplify281.0ms (22%)

prune4.0ms (0.3%)

localize4.0ms (0.3%)

rewrite9.0ms (0.7%)

series30.0ms (2.4%)

simplify61.0ms (4.8%)

prune12.0ms (0.9%)

localize6.0ms (0.4%)

rewrite20.0ms (1.6%)

series60.0ms (4.7%)

simplify64.0ms (5%)

prune42.0ms (3.3%)

regimes39.0ms (3.1%)

bsearch0.0ms (0%)

simplify4.0ms (0.3%)

end0.0ms (0%)

sample553.0ms (43.3%)

Profiling