Details

analyze728.0ms (24%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7521	9
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample20.0ms (0.7%)

Algorithm

1×

intervals

Results

11.0ms

256×

body

128

valid

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify553.0ms (18.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (542.0ms)

Iter	Nodes	Cost
0	7521	9

prune4.0ms (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 12 to 10 computations (16.7% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 1 (*.f64 x x))
0.0b	(sqrt.f64 (-.f64 1 (*.f64 x x)))

rewrite16.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_4874`
5×	`*-un-lft-identity_binary64_4852` `sqrt-prod_binary64_4868`
4×	`difference-of-squares_binary64_4821` `add-log-exp_binary64_4891`
3×	`add-cube-cbrt_binary64_4887` `pow1_binary64_4913`
2×	`add-exp-log_binary64_4890` `flip3--_binary64_4856` `add-cbrt-cube_binary64_4888` `sqrt-div_binary64_4869` `flip--_binary64_4827`
1×	`pow1/2_binary64_4932` `sqrt-pow1_binary64_4870` `cancel-sign-sub-inv_binary64_4818` `sub-neg_binary64_4845` `rem-sqrt-square_binary64_4865` `diff-log_binary64_4944`

Counts

2 → 31

Calls

2 calls:

6.0ms	(sqrt.f64 (-.f64 1 (*.f64 x x)))
6.0ms	(-.f64 1 (*.f64 x x))

series106.0ms (3.5%)

Counts

2 → 12

Calls

2 calls:

57.0ms	(-.f64 1 (*.f64 x x))
49.0ms	(sqrt.f64 (-.f64 1 (*.f64 x x)))

Compiler

Compiled 127 to 124 computations (2.4% saved)

simplify123.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	4984	464
1	4984	464

prune66.0ms (2.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	2	44

Error

Counts

44 → 2

Compiler

Compiled 416 to 265 computations (36.3% saved)

localize12.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

rewrite40.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64_4874`
18×	`sqrt-prod_binary64_4868`
14×	`*-un-lft-identity_binary64_4852` `sqrt-div_binary64_4869`
9×	`associate-r_binary64_4792`
7×	`associate-l_binary64_4793` `add-cube-cbrt_binary64_4887` `pow1_binary64_4913`
4×	`add-exp-log_binary64_4890` `unswap-sqr_binary64_4820` `frac-times_binary64_4862` `flip-+_binary64_4826` `add-cbrt-cube_binary64_4888` `flip3-+_binary64_4855`
3×	`flip3--_binary64_4856` `pow1/2_binary64_4932` `sqrt-pow1_binary64_4870` `flip--_binary64_4827` `pow-prod-down_binary64_4923`
2×	`difference-of-squares_binary64_4821` `associate-r/_binary64_4794` `distribute-lft-out_binary64_4803` `add-log-exp_binary64_4891` `associate-l/_binary64_4795`
1×	`sqrt-unprod_binary64_4872` `distribute-lft-out--_binary64_4804` `cbrt-unprod_binary64_4885` `rem-sqrt-square_binary64_4865` `prod-exp_binary64_4901` `*-commutative_binary64_4783`

Counts

2 → 58

Calls

2 calls:

25.0ms	(*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
7.0ms	(sqrt.f64 (+.f64 1 x))

series81.0ms (2.7%)

Counts

2 → 12

Calls

2 calls:

51.0ms	(*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
30.0ms	(sqrt.f64 (+.f64 1 x))

Compiler

Compiled 175 to 157 computations (10.3% saved)

simplify148.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (115.0ms)

Iter	Nodes	Cost
0	4989	1054
1	4989	1054

prune112.0ms (3.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	70	2	72

Error

Counts

72 → 2

Compiler

Compiled 1009 to 781 computations (22.6% saved)

regimes144.0ms (4.7%)

Accuracy

Total 0.0b remaining (98.2%)

Threshold costs 0.0b (98.2%)

Compiler

Compiled 491 to 397 computations (19.1% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	26
1	26	26

end0.0ms (0%)

sample868.0ms (28.6%)

Algorithm

1×

intervals

Results

363.0ms

8000×

body

128

valid

Compiler

Compiled 108 to 90 computations (16.7% saved)

Details

analyze728.0ms (24%)

sample20.0ms (0.7%)

simplify553.0ms (18.2%)

prune4.0ms (0.1%)

localize8.0ms (0.3%)

rewrite16.0ms (0.5%)

series106.0ms (3.5%)

simplify123.0ms (4.1%)

prune66.0ms (2.2%)

localize12.0ms (0.4%)

rewrite40.0ms (1.3%)

series81.0ms (2.7%)

simplify148.0ms (4.9%)

prune112.0ms (3.7%)

regimes144.0ms (4.7%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample868.0ms (28.6%)

Profiling