Details

analyze341.0ms (11.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	256	20
1	256	20
0	2	2
1	2	2

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
62.4%	32.8%	4.8%	8
69.5%	22.6%	7.9%	9
74.5%	16.4%	9.1%	10
78.2%	11.1%	10.6%	11
80.9%	8.2%	10.9%	12
82.8%	5.5%	11.7%	13
84.1%	4.1%	11.8%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample30.0ms (1%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify41.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	256	10
1	256	10

prune3.0ms (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)

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite12.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-log-exp_binary64_7278`
2×	`diff-log_binary64_7331`
1×	`add-exp-log_binary64_7277` `flip3--_binary64_7243` `associate--l+_binary64_7176` `flip--_binary64_7214` `*-un-lft-identity_binary64_7239` `cancel-sign-sub-inv_binary64_7205` `pow1_binary64_7300` `sub-neg_binary64_7232` `add-cbrt-cube_binary64_7275` `sum-log_binary64_7330` `add-sqr-sqrt_binary64_7261` `add-cube-cbrt_binary64_7274`

Counts

1 → 14

Calls

1 calls:

10.0ms

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

series139.0ms (4.8%)

Counts

1 → 12

Calls

1 calls:

139.0ms

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

Compiler

Compiled 110 to 88 computations (20% saved)

simplify121.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	6203	308

prune27.0ms (0.9%)

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

Error

Counts

27 → 2

Compiler

Compiled 265 to 47 computations (82.3% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 x y) (*.f64 x y))
0.0b	(sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))
0.0b	(sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))
0.3b	(.f64 (sqrt.f64 (-.f64 (+.f64 x y) (.f64 x y))) (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))))

rewrite70.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64_7261`
24×	`sqrt-prod_binary64_7255`
21×	`pow1_binary64_7300`
16×	`sqrt-div_binary64_7256`
14×	`*-un-lft-identity_binary64_7239` `add-cube-cbrt_binary64_7274`
10×	`pow1/2_binary64_7319` `sqrt-pow1_binary64_7257`
9×	`flip3--_binary64_7243` `add-log-exp_binary64_7278` `flip--_binary64_7214`
8×	`swap-sqr_binary64_7206`
6×	`add-exp-log_binary64_7277` `associate-r_binary64_7179` `add-cbrt-cube_binary64_7275` `associate-l_binary64_7180`
5×	`pow-prod-up_binary64_7309`
4×	`rem-sqrt-square_binary64_7252` `frac-times_binary64_7249` `unswap-sqr_binary64_7207`
3×	`pow-prod-down_binary64_7310` `pow-sqr_binary64_7212`
2×	`associate-r/_binary64_7181` `associate-l/_binary64_7182` `diff-log_binary64_7331`
1×	`pow2_binary64_7320` `sqrt-unprod_binary64_7259` `cbrt-unprod_binary64_7272` `associate--l+_binary64_7176` `*-commutative_binary64_7170` `sqr-abs_binary64_7254` `prod-exp_binary64_7288` `cancel-sign-sub-inv_binary64_7205` `rem-square-sqrt_binary64_7251` `pow-plus_binary64_7302` `sub-neg_binary64_7232` `sum-log_binary64_7330`

Counts

4 → 102

Calls

4 calls:

27.0ms	(.f64 (sqrt.f64 (-.f64 (+.f64 x y) (.f64 x y))) (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))))
10.0ms	(-.f64 (+.f64 x y) (*.f64 x y))
9.0ms	(sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))
9.0ms	(sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))

series575.0ms (19.7%)

Counts

4 → 42

Calls

4 calls:

150.0ms	(-.f64 (+.f64 x y) (*.f64 x y))
147.0ms	(.f64 (sqrt.f64 (-.f64 (+.f64 x y) (.f64 x y))) (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))))
141.0ms	(sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))
135.0ms	(sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))

Compiler

Compiled 1364 to 944 computations (30.8% saved)

simplify179.0ms (6.1%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4952	2408
1	4952	2408

prune168.0ms (5.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	144	2	146

Error

Counts

146 → 2

Compiler

Compiled 2827 to 510 computations (82% saved)

regimes75.0ms (2.6%)

Accuracy

Total 0.0b remaining (16.9%)

Threshold costs 0.0b (16.9%)

Compiler

Compiled 156 to 114 computations (26.9% saved)

bsearch0.0ms (0%)

simplify17.0ms (0.6%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	10
1	34	10

Compiler

Compiled 14 to 10 computations (28.6% saved)

end0.0ms (0%)

sample1.1s (37.6%)

Algorithm

1×

intervals

Results

350.0ms	7999×	body	128	valid
3.0ms	77×	body	128	invalid
0.0ms	1×	body	512	valid

Compiler

Compiled 61 to 45 computations (26.2% saved)

Details

analyze341.0ms (11.7%)

sample30.0ms (1%)

simplify41.0ms (1.4%)

prune3.0ms (0.1%)

localize8.0ms (0.3%)

rewrite12.0ms (0.4%)

series139.0ms (4.8%)

simplify121.0ms (4.1%)

prune27.0ms (0.9%)

localize11.0ms (0.4%)

rewrite70.0ms (2.4%)

series575.0ms (19.7%)

simplify179.0ms (6.1%)

prune168.0ms (5.8%)

regimes75.0ms (2.6%)

bsearch0.0ms (0%)

simplify17.0ms (0.6%)

end0.0ms (0%)

sample1.1s (37.6%)

Profiling