Details

analyze53.0ms (3.7%)

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
50%	50%	0.1%	3
50%	50%	0.1%	4
50%	50%	0.1%	5
62.4%	37.5%	0.1%	6
74.9%	25%	0.1%	7
81.2%	18.7%	0.1%	8
87.4%	12.5%	0.1%	9
90.5%	9.4%	0.1%	10
93.7%	6.2%	0.1%	11
95.2%	4.7%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

sample16.0ms (1.1%)

Algorithm

1×

intervals

Results

9.0ms

256×

body

valid

simplify239.0ms (16.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (236.0ms)

Iter	Nodes	Cost
0	2641	11
1	2641	11

prune5.0ms (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 → 1

localize7.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.2b	(/.f64 (*.f64 x y) 2.0)
7.0b	(/.f64 y (+.f64 1.0 (/.f64 (*.f64 x y) 2.0)))

rewrite13.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64`
15×	`times-frac_binary64`
13×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`associate-/r*_binary64`
4×	`distribute-lft-out_binary64` `associate-/l*_binary64`
3×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`add-log-exp_binary64` `pow1_binary64` `associate-/r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64`
1×	`flip3-+_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `flip-+_binary64`

Counts

2 → 54

Calls

2 calls:

7.0ms	(/.f64 y (+.f64 1.0 (/.f64 (*.f64 x y) 2.0)))
5.0ms	(/.f64 (*.f64 x y) 2.0)

series25.0ms (1.7%)

Counts

2 → 6

Calls

2 calls:

20.0ms	(/.f64 y (+.f64 1.0 (/.f64 (*.f64 x y) 2.0)))
5.0ms	(/.f64 (*.f64 x y) 2.0)

simplify54.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4958	666
1	4958	666

prune82.0ms (5.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	58	2	60
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	58	3	61

Merged error: 0b

Counts

61 → 3

localize9.0ms (0.6%)

Local error

Found 3 expressions with local error:

0.1b	(/.f64 1 (/.f64 (+.f64 1.0 (/.f64 (*.f64 y x) 2.0)) y))
0.2b	(/.f64 (*.f64 y x) 2.0)
6.9b	(/.f64 (+.f64 1.0 (/.f64 (*.f64 y x) 2.0)) y)

rewrite28.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

111×	`times-frac_binary64`
95×	`*-un-lft-identity_binary64`
63×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
22×	`associate-/r*_binary64`
21×	`add-exp-log_binary64`
16×	`distribute-lft-out_binary64`
15×	`add-cbrt-cube_binary64`
10×	`div-exp_binary64`
8×	`associate-/l*_binary64`
7×	`div-inv_binary64`
6×	`cbrt-undiv_binary64`
4×	`pow1_binary64`
3×	`add-log-exp_binary64` `clear-num_binary64` `frac-2neg_binary64`
2×	`associate-/l/_binary64` `1-exp_binary64` `rec-exp_binary64`
1×	`flip3-+_binary64` `cbrt-unprod_binary64` `associate-/r/_binary64` `inv-pow_binary64` `prod-exp_binary64` `pow-flip_binary64` `flip-+_binary64`

Counts

3 → 142

Calls

3 calls:

10.0ms	(/.f64 1 (/.f64 (+.f64 1.0 (/.f64 (*.f64 y x) 2.0)) y))
7.0ms	(/.f64 (+.f64 1.0 (/.f64 (*.f64 y x) 2.0)) y)
5.0ms	(/.f64 (*.f64 y x) 2.0)

series29.0ms (2%)

Counts

3 → 9

Calls

3 calls:

16.0ms	(/.f64 1 (/.f64 (+.f64 1.0 (/.f64 (*.f64 y x) 2.0)) y))
9.0ms	(/.f64 (+.f64 1.0 (/.f64 (*.f64 y x) 2.0)) y)
4.0ms	(/.f64 (*.f64 y x) 2.0)

simplify77.0ms (5.3%)

Algorithm

1×	egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5114	2148

prune183.0ms (12.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	150	1	151
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	152	2	154

Merged error: 0b

Counts

154 → 2

localize8.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 x 0.5) (/.f64 1.0 y))
0.1b	(/.f64 1 (+.f64 (*.f64 x 0.5) (/.f64 1.0 y)))

rewrite16.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`times-frac_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`associate-/r_binary64` `pow1_binary64` `associate-/l_binary64`
2×	`flip3-+_binary64` `associate-/r/_binary64` `div-exp_binary64` `flip-+_binary64`
1×	`1-exp_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `rec-exp_binary64` `div-inv_binary64` `+-commutative_binary64` `pow-flip_binary64` `sum-log_binary64`

Counts

2 → 44

Calls

2 calls:

8.0ms	(/.f64 1 (+.f64 (*.f64 x 0.5) (/.f64 1.0 y)))
6.0ms	(+.f64 (*.f64 x 0.5) (/.f64 1.0 y))

series21.0ms (1.4%)

Counts

2 → 6

Calls

2 calls:

14.0ms	(/.f64 1 (+.f64 (*.f64 x 0.5) (/.f64 1.0 y)))
6.0ms	(+.f64 (*.f64 x 0.5) (/.f64 1.0 y))

simplify30.0ms (2%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5000	627

prune61.0ms (4.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Merged error: 0b

Counts

52 → 2

regimes99.0ms (6.8%)

Accuracy

Total 0.0b remaining (89.8%)

Threshold costs 0.0b (89.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	11
1	28	11

end0.0ms (0%)

sample402.0ms (27.6%)

Algorithm

1×

intervals

Results

269.0ms	7999×	body	80	valid
4.0ms	1×	body	2560	valid

Details

analyze53.0ms (3.7%)

sample16.0ms (1.1%)

simplify239.0ms (16.4%)

prune5.0ms (0.3%)

localize7.0ms (0.5%)

rewrite13.0ms (0.9%)

series25.0ms (1.7%)

simplify54.0ms (3.7%)

prune82.0ms (5.6%)

localize9.0ms (0.6%)

rewrite28.0ms (1.9%)

series29.0ms (2%)

simplify77.0ms (5.3%)

prune183.0ms (12.6%)

localize8.0ms (0.5%)

rewrite16.0ms (1.1%)

series21.0ms (1.4%)

simplify30.0ms (2%)

prune61.0ms (4.2%)

regimes99.0ms (6.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample402.0ms (27.6%)

Profiling