Details

analyze221.0ms (13.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	18
1	11	18
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
25%	74.9%	0.1%	4
25%	74.9%	0.1%	5
43.7%	50%	6.3%	6
43.7%	43.7%	12.6%	7
59.3%	26.5%	14.1%	8
59.3%	22.6%	18%	9
67.1%	13.7%	19.2%	10
67.1%	11.5%	21.4%	11
71%	6.9%	22%	12
71%	5.8%	23.2%	13
73%	3.5%	23.5%	14

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample16.0ms (0.9%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	5×	body	128	nan

Compiler

Compiled 13 to 13 computations (0% saved)

simplify8.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	9
1	7	9

prune3.0ms (0.2%)

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

22.1b

Counts

2 → 1

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 x x) y)
20.6b	(sqrt.f64 (+.f64 (*.f64 x x) y))

rewrite36.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

22.1b

Rules

4×	`add-log-exp_binary64_11029` `add-sqr-sqrt_binary64_11012`
3×	`pow1_binary64_11051` `add-cube-cbrt_binary64_11025` `sqrt-prod_binary64_11006` `*-un-lft-identity_binary64_10990`
2×	`add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026` `flip3-+_binary64_10993` `sqrt-div_binary64_11007` `flip-+_binary64_10964`
1×	`pow1/2_binary64_11070` `sqrt-pow1_binary64_11008` `rem-sqrt-square_binary64_11003` `sum-log_binary64_11081` `+-commutative_binary64_10920`

Counts

2 → 26

Calls

2 calls:

4.0ms	(sqrt.f64 (+.f64 (*.f64 x x) y))
4.0ms	(+.f64 (*.f64 x x) y)

Compiler

Compiled 340 to 89 computations (73.8% saved)

series220.0ms (13.3%)

Error

Counts

2 → 26

Calls

2 calls:

113.0ms	(sqrt.f64 (+.f64 (*.f64 x x) y))
91.0ms	(+.f64 (*.f64 x x) y)

Compiler

Compiled 471 to 408 computations (13.4% saved)

simplify64.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4943	549
1	4943	549

prune37.0ms (2.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	50	2	52
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	50	3	53

Error

Counts

53 → 3

Compiler

Compiled 369 to 147 computations (60.2% saved)

localize2.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 0b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify7.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune2.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	1	1
Total	3	3

Error

Counts

3 → 3

Compiler

Compiled 7 to 6 computations (14.3% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 1/2 (/.f64 y x))

rewrite39.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`add-sqr-sqrt_binary64_11012`
13×	`associate-r_binary64_10930`
10×	`times-frac_binary64_10996`
9×	`add-cube-cbrt_binary64_11025` `*-un-lft-identity_binary64_10990`
6×	`add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026`
3×	`pow1_binary64_11051` `associate-l_binary64_10931`
2×	`prod-exp_binary64_11039` `cbrt-unprod_binary64_11023` `unswap-sqr_binary64_10958`
1×	`pow-prod-down_binary64_11061` `div-exp_binary64_11041` `add-log-exp_binary64_11029` `cbrt-undiv_binary64_11024` `associate-r/_binary64_10932` `div-inv_binary64_10987` `-commutative_binary64_10921`

Counts

1 → 32

Calls

1 calls:

7.0ms

(*.f64 1/2 (/.f64 y x))

Compiler

Compiled 419 to 216 computations (48.4% saved)

series87.0ms (5.2%)

Error

Counts

1 → 6

Calls

1 calls:

85.0ms

(*.f64 1/2 (/.f64 y x))

Compiler

Compiled 91 to 78 computations (14.3% saved)

simplify96.0ms (5.8%)

Algorithm

1×	egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	5013	368

prune24.0ms (1.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	38	3	41

Error

Counts

41 → 3

Compiler

Compiled 326 to 158 computations (51.5% saved)

regimes191.0ms (11.5%)

Accuracy

Total 0.4b remaining (98.7%)

Threshold costs 0.4b (98.7%)

Compiler

Compiled 384 to 430 computations (-12% saved)

bsearch15.0ms (0.9%)

Steps

Iters	Range		Point
6	3.3377611178015805e+80	1.3446285216718867e+81	1.3297327274170784e+81
1	-4.061239087448637e+156	-4.511766666923012e+151	-1.3093067112483664e+154

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	34
1	28	34

end2.0ms (0.1%)

Compiler: Compiled 23 to 16 computations (30.4% saved)

sample570.0ms (34.5%)

Algorithm

1×

intervals

Results

215.0ms	8000×	body	128	valid
3.0ms	151×	body	128	nan

Compiler

Compiled 77 to 66 computations (14.3% saved)

Details

analyze221.0ms (13.4%)

sample16.0ms (0.9%)

simplify8.0ms (0.5%)

prune3.0ms (0.2%)

localize5.0ms (0.3%)

rewrite36.0ms (2.2%)

series220.0ms (13.3%)

simplify64.0ms (3.9%)

prune37.0ms (2.3%)

localize2.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.4%)

prune2.0ms (0.1%)

localize5.0ms (0.3%)

rewrite39.0ms (2.4%)

series87.0ms (5.2%)

simplify96.0ms (5.8%)

prune24.0ms (1.4%)

regimes191.0ms (11.5%)

bsearch15.0ms (0.9%)

simplify2.0ms (0.1%)

end2.0ms (0.1%)

sample570.0ms (34.5%)

Profiling