Details

analyze72.0ms (8.2%)

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
37.5%	62.4%	0.1%	6
56.2%	43.7%	0.1%	7
65.6%	34.3%	0.1%	8
76.5%	23.4%	0.1%	9
82%	18%	0.1%	10
87.8%	12.1%	0.1%	11
90.7%	9.2%	0.1%	12
93.8%	6.1%	0.1%	13
95.3%	4.6%	0.1%	14

sample11.0ms (1.2%)

Algorithm

1×

intervals

Results

4.0ms	256×	body	80	valid
0.0ms	4×	body	80	invalid

simplify10.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	172	5
1	172	5

prune5.0ms (0.5%)

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

localize4.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 500.0 (-.f64 x y))

rewrite7.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-sqr-sqrt_binary64`
5×	`-un-lft-identity_binary64` `associate-r*_binary64`
3×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`sub-neg_binary64` `associate-*r/_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

1 → 24

Calls

1 calls:

7.0ms

(*.f64 500.0 (-.f64 x y))

series5.0ms (0.6%)

Counts

1 → 3

Calls

1 calls:

5.0ms

(*.f64 500.0 (-.f64 x y))

simplify65.0ms (7.5%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4952	172
1	4952	172

prune34.0ms (3.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	25	2	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	3	28

Merged error: 0b

Counts

28 → 3

localize5.0ms (0.6%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (.f64 500.0 x) (.f64 500.0 (neg.f64 y)))

rewrite5.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`flip3-+_binary64` `*-un-lft-identity_binary64` `pow1_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-out_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64` `unsub-neg_binary64` `sum-log_binary64`

Counts

1 → 13

Calls

1 calls:

4.0ms

(+.f64 (*.f64 500.0 x) (*.f64 500.0 (neg.f64 y)))

series6.0ms (0.7%)

Counts

1 → 3

Calls

1 calls:

6.0ms

(+.f64 (*.f64 500.0 x) (*.f64 500.0 (neg.f64 y)))

simplify73.0ms (8.3%)

Algorithm

1×	egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5132	116

prune19.0ms (2.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	16	0	16
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	16	3	19

Merged error: 0b

Counts

19 → 3

localize5.0ms (0.6%)

Local error

Found 2 expressions with local error:

0.3b	(*.f64 (-.f64 x y) (sqrt.f64 500.0))
0.4b	(.f64 (sqrt.f64 500.0) (.f64 (-.f64 x y) (sqrt.f64 500.0)))

rewrite22.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64`
11×	`associate-l_binary64`
9×	`*-un-lft-identity_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`associate-r_binary64` `add-cube-cbrt_binary64` `sqrt-prod_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `associate-*l/_binary64`
2×	`add-log-exp_binary64` `flip3--_binary64` `associate-r/_binary64` `unswap-sqr_binary64` `flip--_binary64` `-commutative_binary64`
1×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`

Counts

2 → 49

Calls

2 calls:

12.0ms	(.f64 (sqrt.f64 500.0) (.f64 (-.f64 x y) (sqrt.f64 500.0)))
8.0ms	(*.f64 (-.f64 x y) (sqrt.f64 500.0))

series20.0ms (2.3%)

Counts

2 → 6

Calls

2 calls:

12.0ms	(.f64 (sqrt.f64 500.0) (.f64 (-.f64 x y) (sqrt.f64 500.0)))
8.0ms	(*.f64 (-.f64 x y) (sqrt.f64 500.0))

simplify39.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5254	392

prune57.0ms (6.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	55	3	58

Merged error: 0b

Counts

58 → 3

regimes137.0ms (15.7%)

Accuracy

Total 0.0b remaining (65.4%)

Threshold costs 0.0b (65.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	5
1	16	5

end0.0ms (0%)

sample273.0ms (31.1%)

Algorithm

1×

intervals

Results

142.0ms	7971×	body	80	valid
1.0ms	64×	body	80	invalid
1.0ms	8×	body	1280	valid
0.0ms	9×	body	320	valid
0.0ms	7×	body	640	valid
0.0ms	4×	body	2560	valid
0.0ms	1×	body	160	valid

Details

analyze72.0ms (8.2%)

sample11.0ms (1.2%)

simplify10.0ms (1.1%)

prune5.0ms (0.5%)

localize4.0ms (0.4%)

rewrite7.0ms (0.9%)

series5.0ms (0.6%)

simplify65.0ms (7.5%)

prune34.0ms (3.9%)

localize5.0ms (0.6%)

rewrite5.0ms (0.5%)

series6.0ms (0.7%)

simplify73.0ms (8.3%)

prune19.0ms (2.2%)

localize5.0ms (0.6%)

rewrite22.0ms (2.5%)

series20.0ms (2.3%)

simplify39.0ms (4.5%)

prune57.0ms (6.5%)

regimes137.0ms (15.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample273.0ms (31.1%)

Profiling