Details

analyze100.0ms (6.9%)

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
25%	62.4%	12.6%	6
25%	46.8%	28.2%	7
31.2%	35.9%	32.9%	8
39%	25%	36%	9
42.9%	18.7%	38.3%	10
47.2%	12.9%	39.9%	11
49.4%	9.6%	41.1%	12
51.6%	6.5%	41.9%	13
52.7%	4.8%	42.4%	14

Compiler

Compiled 14 to 10 computations (28.6% saved)

sample16.0ms (1.1%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	80	valid
0.0ms	7×	body	80	invalid

Compiler

Compiled 27 to 21 computations (22.2% saved)

simplify22.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	38	16
1	38	16

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: 0.0b

Counts

2 → 2

Compiler

Compiled 35 to 25 computations (28.6% saved)

localize11.0ms (0.8%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (.f64 x x) (.f64 (*.f64 x 2) y))

rewrite6.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`flip3-+_binary64` `*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `insert-posit16` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

1 → 12

Calls

1 calls:

6.0ms

(+.f64 (*.f64 x x) (*.f64 (*.f64 x 2) y))

series51.0ms (3.5%)

Counts

1 → 3

Calls

1 calls:

51.0ms

(+.f64 (*.f64 x x) (*.f64 (*.f64 x 2) y))

simplify125.0ms (8.6%)

Algorithm

1×	egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (107.0ms)

Iter	Nodes	Cost
0	4973	223
1	4973	223

prune14.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	14	1	15
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	15	2	17

Merged error: 0b

Counts

17 → 2

Compiler

Compiled 272 to 148 computations (45.6% saved)

localize12.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 x (+.f64 x (.f64 2 y)))
0.1b	(.f64 (sqrt.f64 (.f64 x (+.f64 x (.f64 2 y)))) (sqrt.f64 (.f64 x (+.f64 x (*.f64 2 y)))))
6.7b	(sqrt.f64 (.f64 x (+.f64 x (.f64 2 y))))
6.7b	(sqrt.f64 (.f64 x (+.f64 x (.f64 2 y))))

rewrite38.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Rules

61×	`pow1_binary64`
32×	`sqrt-pow1_binary64`
23×	`pow-prod-down_binary64`
20×	`associate-*r/_binary64`
16×	`sqrt-div_binary64`
14×	`add-sqr-sqrt_binary64`
12×	`pow1/2_binary64`
10×	`*-un-lft-identity_binary64` `pow-prod-up_binary64` `add-cube-cbrt_binary64`
9×	`flip3-+_binary64` `flip-+_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`associate-r_binary64` `associate-l_binary64`
6×	`pow-sqr_binary64` `sqrt-prod_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `insert-posit16` `frac-times_binary64`
2×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`rem-square-sqrt_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `pow2_binary64`

Counts

4 → 109

Calls

4 calls:

16.0ms	(.f64 (sqrt.f64 (.f64 x (+.f64 x (.f64 2 y)))) (sqrt.f64 (.f64 x (+.f64 x (*.f64 2 y)))))
7.0ms	(.f64 x (+.f64 x (.f64 2 y)))
5.0ms	(sqrt.f64 (.f64 x (+.f64 x (.f64 2 y))))
5.0ms	(sqrt.f64 (.f64 x (+.f64 x (.f64 2 y))))

series262.0ms (18%)

Counts

4 → 12

Calls

4 calls:

90.0ms	(sqrt.f64 (.f64 x (+.f64 x (.f64 2 y))))
74.0ms	(sqrt.f64 (.f64 x (+.f64 x (.f64 2 y))))
50.0ms	(.f64 (sqrt.f64 (.f64 x (+.f64 x (.f64 2 y)))) (sqrt.f64 (.f64 x (+.f64 x (*.f64 2 y)))))
48.0ms	(.f64 x (+.f64 x (.f64 2 y)))

simplify102.0ms (7%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	5003	1628

prune132.0ms (9.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	121	2	123

Merged error: 0b

Counts

123 → 2

Compiler

Compiled 2712 to 1595 computations (41.2% saved)

regimes29.0ms (2%)

Compiler: Compiled 132 to 98 computations (25.8% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	19
1	14	19

end0.0ms (0%)

sample524.0ms (36%)

Algorithm

1×

intervals

Results

290.0ms	8000×	body	80	valid
7.0ms	193×	body	80	invalid

Compiler

Compiled 74 to 54 computations (27% saved)

Details

analyze100.0ms (6.9%)

sample16.0ms (1.1%)

simplify22.0ms (1.5%)

prune4.0ms (0.3%)

localize11.0ms (0.8%)

rewrite6.0ms (0.4%)

series51.0ms (3.5%)

simplify125.0ms (8.6%)

prune14.0ms (1%)

localize12.0ms (0.8%)

rewrite38.0ms (2.6%)

series262.0ms (18%)

simplify102.0ms (7%)

prune132.0ms (9.1%)

regimes29.0ms (2%)

bsearch0.0ms (0%)

simplify6.0ms (0.4%)

end0.0ms (0%)

sample524.0ms (36%)

Profiling