Details

analyze70.0ms (5%)

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
40.6%	59.3%	0.1%	6
53.1%	45.3%	1.7%	7
64%	31.2%	4.8%	8
70.2%	21.9%	7.9%	9
75.7%	15.2%	9.1%	10
78.8%	10.5%	10.6%	11
81.6%	7.5%	10.9%	12
83.1%	5.2%	11.7%	13
84.5%	3.7%	11.8%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample12.0ms (0.9%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify100.0ms (7.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	45	10
1	45	10

prune2.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite11.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-log-exp_binary64_2845`
3×	`*-un-lft-identity_binary64_2806` `sum-log_binary64_2897`
1×	`add-sqr-sqrt_binary64_2828` `add-exp-log_binary64_2844` `distribute-lft-out_binary64_2757` `add-cbrt-cube_binary64_2842` `associate-+l+_binary64_2739` `flip-+_binary64_2780` `add-cube-cbrt_binary64_2841` `flip3-+_binary64_2809` `pow1_binary64_2867` `+-commutative_binary64_2736`

Counts

1 → 14

Calls

1 calls:

7.0ms

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

series74.0ms (5.3%)

Counts

1 → 12

Calls

1 calls:

74.0ms

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

Compiler

Compiled 126 to 104 computations (17.5% saved)

simplify61.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5173	303

prune15.0ms (1.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	25	1	26
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	2	27

Merged error: 0.0b

Counts

27 → 2

Compiler

Compiled 265 to 77 computations (70.9% saved)

localize9.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 y (+.f64 x (*.f64 x y)))
0.0b	(sqrt.f64 (+.f64 y (+.f64 x (*.f64 x y))))
0.0b	(sqrt.f64 (+.f64 y (+.f64 x (*.f64 x y))))
0.2b	(.f64 (sqrt.f64 (+.f64 y (+.f64 x (.f64 x y)))) (sqrt.f64 (+.f64 y (+.f64 x (*.f64 x y)))))

rewrite41.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64_2806` `sqrt-prod_binary64_2822`
30×	`add-sqr-sqrt_binary64_2828`
21×	`pow1_binary64_2867`
16×	`sqrt-div_binary64_2823`
14×	`add-cube-cbrt_binary64_2841`
11×	`swap-sqr_binary64_2773`
10×	`pow1/2_binary64_2886` `sqrt-pow1_binary64_2824`
9×	`distribute-lft-out_binary64_2757` `flip-+_binary64_2780` `add-log-exp_binary64_2845` `flip3-+_binary64_2809`
7×	`associate-l_binary64_2747` `associate-r_binary64_2746`
6×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
5×	`pow-prod-up_binary64_2876`
4×	`frac-times_binary64_2816` `rem-sqrt-square_binary64_2819` `unswap-sqr_binary64_2774`
3×	`pow-sqr_binary64_2779` `sum-log_binary64_2897` `pow-prod-down_binary64_2877`
2×	`associate-r/_binary64_2748` `associate-l/_binary64_2749`
1×	`sqr-abs_binary64_2821` `*-commutative_binary64_2737` `associate-+r+_binary64_2738` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `sqrt-unprod_binary64_2826` `rem-square-sqrt_binary64_2818` `pow2_binary64_2887` `pow-plus_binary64_2869` `+-commutative_binary64_2736`

Counts

4 → 109

Calls

4 calls:

15.0ms	(.f64 (sqrt.f64 (+.f64 y (+.f64 x (.f64 x y)))) (sqrt.f64 (+.f64 y (+.f64 x (*.f64 x y)))))
5.0ms	(+.f64 y (+.f64 x (*.f64 x y)))
5.0ms	(sqrt.f64 (+.f64 y (+.f64 x (*.f64 x y))))
5.0ms	(sqrt.f64 (+.f64 y (+.f64 x (*.f64 x y))))

series346.0ms (24.8%)

Counts

4 → 48

Calls

4 calls:

96.0ms	(sqrt.f64 (+.f64 y (+.f64 x (*.f64 x y))))
95.0ms	(sqrt.f64 (+.f64 y (+.f64 x (*.f64 x y))))
82.0ms	(+.f64 y (+.f64 x (*.f64 x y)))
72.0ms	(.f64 (sqrt.f64 (+.f64 y (+.f64 x (.f64 x y)))) (sqrt.f64 (+.f64 y (+.f64 x (*.f64 x y)))))

Compiler

Compiled 1728 to 1260 computations (27.1% saved)

simplify87.0ms (6.2%)

Algorithm

1×	egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4970	2977
1	4970	2977

prune117.0ms (8.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	157	0	157
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	157	2	159

Merged error: 0.0b

Counts

159 → 2

Compiler

Compiled 3288 to 788 computations (76% saved)

regimes36.0ms (2.5%)

Compiler: Compiled 126 to 90 computations (28.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	10
1	9	10

end0.0ms (0%)

sample413.0ms (29.5%)

Algorithm

1×

intervals

Results

181.0ms	7998×	body	128	valid
2.0ms	76×	body	128	invalid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 51 to 37 computations (27.5% saved)

Details

analyze70.0ms (5%)

sample12.0ms (0.9%)

simplify100.0ms (7.1%)

prune2.0ms (0.2%)

localize4.0ms (0.3%)

rewrite11.0ms (0.8%)

series74.0ms (5.3%)

simplify61.0ms (4.4%)

prune15.0ms (1.1%)

localize9.0ms (0.6%)

rewrite41.0ms (2.9%)

series346.0ms (24.8%)

simplify87.0ms (6.2%)

prune117.0ms (8.4%)

regimes36.0ms (2.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample413.0ms (29.5%)

Profiling