Details

analyze98.0ms (5.3%)

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%	74.9%	0.1%	6
56.2%	43.7%	0.1%	7
56.2%	43.7%	0.1%	8
76.5%	23.4%	0.1%	9
76.5%	23.4%	0.1%	10
87.8%	12.1%	0.1%	11
87.8%	12.1%	0.1%	12
93.8%	6.1%	0.1%	13
93.8%	6.1%	0.1%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample15.0ms (0.8%)

Algorithm

1×

intervals

Results

9.0ms

256×

body

valid

Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify13.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	37	13
1	37	13

prune3.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 12.5b

Counts

2 → 1

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

12.1b

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

rewrite10.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 27

Calls

1 calls:

9.0ms

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

series8.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

8.0ms

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

simplify51.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5267	451

prune29.0ms (1.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	27	3	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	4	31

Merged error: 0b

Counts

31 → 4

Compiler

Compiled 420 to 211 computations (49.8% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite20.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64`
6×	`times-frac_binary64`
5×	`distribute-lft-out_binary64`
3×	`add-log-exp_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
2×	`div-inv_binary64`
1×	`flip3-+_binary64` `pow1_binary64` `frac-add_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

1 → 17

Calls

1 calls:

19.0ms

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

series8.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

8.0ms

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

simplify154.0ms (8.4%)

Algorithm

1×	egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 0 (133.0ms)

Iter	Nodes	Cost
0	4984	274
1	4984	274

prune25.0ms (1.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	20	0	20
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	20	4	24

Merged error: 0b

Counts

24 → 4

Compiler

Compiled 267 to 203 computations (24% saved)

localize12.0ms (0.7%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (/.f64 (*.f64 x 2) (/.f64 (+.f64 x y) y)))
0.0b	(/.f64 (+.f64 x y) y)
7.3b	(/.f64 (*.f64 x 2) (/.f64 (+.f64 x y) y))

rewrite67.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Rules

227×	`times-frac_binary64`
130×	`*-un-lft-identity_binary64`
86×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
61×	`add-exp-log_binary64`
40×	`associate-/r*_binary64`
35×	`add-cbrt-cube_binary64` `div-exp_binary64`
22×	`distribute-lft-out_binary64`
18×	`cbrt-undiv_binary64`
13×	`div-inv_binary64`
8×	`prod-exp_binary64` `associate-/l*_binary64`
6×	`associate-/r/_binary64`
5×	`1-exp_binary64` `rec-exp_binary64`
4×	`pow1_binary64` `cbrt-unprod_binary64`
3×	`add-log-exp_binary64` `clear-num_binary64` `frac-2neg_binary64`
2×	`associate-/l/_binary64`
1×	`flip3-+_binary64` `inv-pow_binary64` `pow-flip_binary64` `flip-+_binary64`

Counts

3 → 205

Calls

3 calls:

21.0ms	(/.f64 1 (/.f64 (*.f64 x 2) (/.f64 (+.f64 x y) y)))
16.0ms	(/.f64 (*.f64 x 2) (/.f64 (+.f64 x y) y))
10.0ms	(/.f64 (+.f64 x y) y)

series34.0ms (1.9%)

Counts

3 → 9

Calls

3 calls:

15.0ms	(/.f64 (*.f64 x 2) (/.f64 (+.f64 x y) y))
11.0ms	(/.f64 (+.f64 x y) y)
8.0ms	(/.f64 1 (/.f64 (*.f64 x 2) (/.f64 (+.f64 x y) y)))

simplify131.0ms (7.1%)

Algorithm

1×	egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4947	4028
1	4947	4028

prune125.0ms (6.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	213	1	214
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	214	4	218

Merged error: 0b

Counts

218 → 4

Compiler

Compiled 3594 to 1447 computations (59.7% saved)

localize12.0ms (0.7%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 x y) x)
10.0b	(*.f64 (/.f64 (+.f64 x y) x) (/.f64 1/2 y))

rewrite39.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`*-un-lft-identity_binary64`
38×	`add-sqr-sqrt_binary64`
37×	`times-frac_binary64`
26×	`add-cube-cbrt_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
13×	`associate-r_binary64`
7×	`distribute-lft-out_binary64`
5×	`cbrt-undiv_binary64` `div-exp_binary64`
4×	`pow1_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `associate-/l*_binary64`
3×	`associate-/r*_binary64` `div-inv_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip-+_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

2 → 86

Calls

2 calls:

23.0ms	(*.f64 (/.f64 (+.f64 x y) x) (/.f64 1/2 y))
10.0ms	(/.f64 (+.f64 x y) x)

series21.0ms (1.1%)

Counts

2 → 6

Calls

2 calls:

14.0ms	(*.f64 (/.f64 (+.f64 x y) x) (/.f64 1/2 y))
7.0ms	(/.f64 (+.f64 x y) x)

simplify111.0ms (6.1%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	5128	1369

prune46.0ms (2.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	92	4	96

Merged error: 0b

Counts

96 → 4

Compiler

Compiled 1384 to 551 computations (60.2% saved)

regimes74.0ms (4%)

Compiler: Compiled 130 to 112 computations (13.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	10
1	8	10

end0.0ms (0%)

sample717.0ms (39%)

Algorithm

1×

intervals

Results

233.0ms

8000×

body

valid

Compiler

Compiled 60 to 54 computations (10% saved)

Details

analyze98.0ms (5.3%)

sample15.0ms (0.8%)

simplify13.0ms (0.7%)

prune3.0ms (0.2%)

localize5.0ms (0.3%)

rewrite10.0ms (0.5%)

series8.0ms (0.4%)

simplify51.0ms (2.8%)

prune29.0ms (1.6%)

localize4.0ms (0.2%)

rewrite20.0ms (1.1%)

series8.0ms (0.4%)

simplify154.0ms (8.4%)

prune25.0ms (1.4%)

localize12.0ms (0.7%)

rewrite67.0ms (3.6%)

series34.0ms (1.9%)

simplify131.0ms (7.1%)

prune125.0ms (6.8%)

localize12.0ms (0.7%)

rewrite39.0ms (2.1%)

series21.0ms (1.1%)

simplify111.0ms (6.1%)

prune46.0ms (2.5%)

regimes74.0ms (4%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample717.0ms (39%)

Profiling