Details

analyze36.0ms (2.3%)

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
25%	74.9%	0.1%	3
25%	62.4%	12.6%	4
37.5%	43.7%	18.8%	5
37.5%	34.3%	28.2%	6
43.7%	23.4%	32.9%	7
43.7%	18%	38.3%	8
46.8%	12.1%	41.1%	9
46.8%	9.2%	44%	10
48.4%	6.1%	45.5%	11
48.4%	4.6%	47%	12
49.2%	3.1%	47.7%	13
49.2%	2.3%	48.5%	14

Compiler

Compiled 5 to 5 computations (0% saved)

sample12.0ms (0.8%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	128	valid
0.0ms	8×	body	128	nan

Compiler

Compiled 9 to 11 computations (-22.2% saved)

simplify162.0ms (10.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	6	6
1	6	6

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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 8 to 8 computations (0% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite5.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64_751` `sqrt-prod_binary64_766`
3×	`add-sqr-sqrt_binary64_772`
2×	`add-cube-cbrt_binary64_783` `pow1_binary64_809` `sqrt-div_binary64_767`
1×	`distribute-lft-out_binary64_704` `flip3-+_binary64_754` `rem-sqrt-square_binary64_764` `pow1/2_binary64_828` `add-log-exp_binary64_787` `add-cbrt-cube_binary64_784` `add-exp-log_binary64_786` `sqrt-pow1_binary64_768` `flip-+_binary64_725`

Counts

1 → 16

Calls

1 calls:

4.0ms

(sqrt.f64 (+.f64 x y))

series43.0ms (2.7%)

Counts

1 → 3

Calls

1 calls:

43.0ms

(sqrt.f64 (+.f64 x y))

simplify54.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4964	234
1	4964	234

prune14.0ms (0.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	18	1	19
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	2	20

Merged error: 0b

Counts

20 → 2

Compiler

Compiled 204 to 92 computations (54.9% saved)

localize17.0ms (1.1%)

Local error

Found 4 expressions with local error:

3.4b	(+.f64 (pow.f64 x 3) (pow.f64 y 3))
19.4b	(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (sqrt.f64 (+.f64 (.f64 x x) (.f64 y (-.f64 y x)))))
19.6b	(sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)))
30.3b	(sqrt.f64 (+.f64 (.f64 x x) (.f64 y (-.f64 y x))))

rewrite79.0ms (5%)

Algorithm

1×	rewrite-expression-head

Rules

136×	`*-un-lft-identity_binary64_751`
114×	`sqrt-prod_binary64_766`
72×	`times-frac_binary64_757`
48×	`add-sqr-sqrt_binary64_772`
46×	`add-cube-cbrt_binary64_783`
45×	`distribute-lft-out_binary64_704`
36×	`unpow-prod-down_binary64_827` `cube-prod_binary64_776`
12×	`associate-/l*_binary64_698`
9×	`sum-cubes_binary64_752`
8×	`sqrt-div_binary64_767`
6×	`associate-/r*_binary64_697` `pow1_binary64_809` `add-log-exp_binary64_787` `add-cbrt-cube_binary64_784` `add-exp-log_binary64_786`
5×	`flip3-+_binary64_754` `flip-+_binary64_725`
2×	`associate-/l/_binary64_700` `rem-sqrt-square_binary64_764` `pow1/2_binary64_828` `associate-/r/_binary64_699` `sqrt-pow1_binary64_768`
1×	`+-commutative_binary64_683` `sqrt-undiv_binary64_771` `div-inv_binary64_748` `cbrt-undiv_binary64_782` `sum-log_binary64_839` `frac-2neg_binary64_762` `clear-num_binary64_750` `div-exp_binary64_799`

Counts

4 → 160

Calls

4 calls:

22.0ms	(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (sqrt.f64 (+.f64 (.f64 x x) (.f64 y (-.f64 y x)))))
14.0ms	(+.f64 (pow.f64 x 3) (pow.f64 y 3))
13.0ms	(sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)))
4.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 y (-.f64 y x))))

series363.0ms (22.8%)

Counts

4 → 12

Calls

4 calls:

122.0ms	(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (sqrt.f64 (+.f64 (.f64 x x) (.f64 y (-.f64 y x)))))
92.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 y (-.f64 y x))))
86.0ms	(sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)))
63.0ms	(+.f64 (pow.f64 x 3) (pow.f64 y 3))

simplify107.0ms (6.7%)

Algorithm

1×	egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5014	6060

prune206.0ms (13%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	172	0	172
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	172	2	174

Merged error: 0b

Counts

174 → 2

Compiler

Compiled 5151 to 1983 computations (61.5% saved)

regimes46.0ms (2.9%)

Compiler: Compiled 190 to 166 computations (12.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	6
1	6	6

end0.0ms (0%)

sample439.0ms (27.6%)

Algorithm

1×

intervals

Results

174.0ms	8000×	body	128	valid
8.0ms	235×	body	128	nan

Compiler

Compiled 52 to 47 computations (9.6% saved)

Details

analyze36.0ms (2.3%)

sample12.0ms (0.8%)

simplify162.0ms (10.2%)

prune2.0ms (0.1%)

localize3.0ms (0.2%)

rewrite5.0ms (0.3%)

series43.0ms (2.7%)

simplify54.0ms (3.4%)

prune14.0ms (0.9%)

localize17.0ms (1.1%)

rewrite79.0ms (5%)

series363.0ms (22.8%)

simplify107.0ms (6.7%)

prune206.0ms (13%)

regimes46.0ms (2.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample439.0ms (27.6%)

Profiling