Details

analyze98.0ms (5.1%)

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)

sample13.0ms (0.7%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify165.0ms (8.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	37	13
1	37	13

prune2.0ms (0.1%)

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: 15.5b

Counts

2 → 1

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

15.0b

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

rewrite11.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-cbrt-cube_binary64_16971` `add-exp-log_binary64_16973`
7×	`*-un-lft-identity_binary64_16935`
4×	`times-frac_binary64_16941` `associate-/l*_binary64_16880`
3×	`cbrt-unprod_binary64_16968` `add-cube-cbrt_binary64_16970` `div-exp_binary64_16986` `add-sqr-sqrt_binary64_16957` `prod-exp_binary64_16984` `cbrt-undiv_binary64_16969`
2×	`associate-/l/_binary64_16882` `distribute-lft-out_binary64_16886`
1×	`flip3-+_binary64_16938` `pow1_binary64_16996` `div-inv_binary64_16932` `frac-2neg_binary64_16946` `flip-+_binary64_16909` `clear-num_binary64_16934` `associate-/r*_binary64_16879` `add-log-exp_binary64_16974`

Counts

1 → 27

Calls

1 calls:

9.0ms

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

series66.0ms (3.4%)

Counts

1 → 3

Calls

1 calls:

66.0ms

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

simplify43.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5365	451

prune95.0ms (4.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	26	4	30
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	27	4	31

Merged error: 0b

Counts

31 → 4

Compiler

Compiled 1517 to 941 computations (38% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite15.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64_16935`
6×	`times-frac_binary64_16941`
5×	`distribute-lft-out_binary64_16886`
3×	`add-cube-cbrt_binary64_16970` `add-sqr-sqrt_binary64_16957` `add-log-exp_binary64_16974`
2×	`div-inv_binary64_16932`
1×	`flip3-+_binary64_16938` `pow1_binary64_16996` `frac-add_binary64_16943` `add-cbrt-cube_binary64_16971` `flip-+_binary64_16909` `+-commutative_binary64_16865` `add-exp-log_binary64_16973` `sum-log_binary64_17026`

Counts

1 → 17

Calls

1 calls:

14.0ms

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

series37.0ms (1.9%)

Counts

1 → 3

Calls

1 calls:

37.0ms

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

simplify86.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	5156	274

prune18.0ms (0.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	20	0	20
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	20	4	24

Merged error: 0b

Counts

24 → 4

Compiler

Compiled 281 to 211 computations (24.9% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 x y) y)
9.2b	(*.f64 (/.f64 1/2 x) (/.f64 (+.f64 x y) y))

rewrite29.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`*-un-lft-identity_binary64_16935`
38×	`add-sqr-sqrt_binary64_16957`
37×	`times-frac_binary64_16941`
26×	`add-cube-cbrt_binary64_16970`
16×	`add-cbrt-cube_binary64_16971` `add-exp-log_binary64_16973` `associate-r_binary64_16875`
13×	`associate-l_binary64_16876`
7×	`distribute-lft-out_binary64_16886`
5×	`div-exp_binary64_16986` `cbrt-undiv_binary64_16969`
4×	`cbrt-unprod_binary64_16968` `pow1_binary64_16996` `unswap-sqr_binary64_16903` `associate-/l*_binary64_16880` `prod-exp_binary64_16984`
3×	`div-inv_binary64_16932` `associate-/r*_binary64_16879`
2×	`associate-/l/_binary64_16882` `add-log-exp_binary64_16974`
1×	`associate-r/_binary64_16877` `flip3-+_binary64_16938` `pow-prod-down_binary64_17006` `associate-l/_binary64_16878` `frac-times_binary64_16945` `frac-2neg_binary64_16946` `flip-+_binary64_16909` `clear-num_binary64_16934` `*-commutative_binary64_16866`

Counts

2 → 86

Calls

2 calls:

15.0ms	(*.f64 (/.f64 1/2 x) (/.f64 (+.f64 x y) y))
6.0ms	(/.f64 (+.f64 x y) y)

series108.0ms (5.6%)

Counts

2 → 6

Calls

2 calls:

76.0ms	(*.f64 (/.f64 1/2 x) (/.f64 (+.f64 x y) y))
32.0ms	(/.f64 (+.f64 x y) y)

simplify52.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5186	1356

prune67.0ms (3.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	92	4	96

Merged error: 0b

Counts

96 → 4

Compiler

Compiled 1464 to 608 computations (58.5% saved)

localize7.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (+.f64 x y) y)
0.0b	(/.f64 1 (/.f64 (*.f64 x 2) (/.f64 (+.f64 x y) y)))
9.3b	(/.f64 (*.f64 x 2) (/.f64 (+.f64 x y) y))

rewrite55.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Rules

227×	`times-frac_binary64_16941`
130×	`*-un-lft-identity_binary64_16935`
86×	`add-cube-cbrt_binary64_16970` `add-sqr-sqrt_binary64_16957`
61×	`add-exp-log_binary64_16973`
40×	`associate-/r*_binary64_16879`
35×	`add-cbrt-cube_binary64_16971` `div-exp_binary64_16986`
22×	`distribute-lft-out_binary64_16886`
18×	`cbrt-undiv_binary64_16969`
13×	`div-inv_binary64_16932`
8×	`associate-/l*_binary64_16880` `prod-exp_binary64_16984`
6×	`associate-/r/_binary64_16881`
5×	`1-exp_binary64_16979` `rec-exp_binary64_16985`
4×	`cbrt-unprod_binary64_16968` `pow1_binary64_16996`
3×	`frac-2neg_binary64_16946` `clear-num_binary64_16934` `add-log-exp_binary64_16974`
2×	`associate-/l/_binary64_16882`
1×	`flip3-+_binary64_16938` `inv-pow_binary64_17020` `pow-flip_binary64_17009` `flip-+_binary64_16909`

Counts

3 → 205

Calls

3 calls:

13.0ms	(/.f64 1 (/.f64 (*.f64 x 2) (/.f64 (+.f64 x y) y)))
10.0ms	(/.f64 (*.f64 x 2) (/.f64 (+.f64 x y) y))
6.0ms	(/.f64 (+.f64 x y) y)

series191.0ms (9.9%)

Counts

3 → 9

Calls

3 calls:

87.0ms	(/.f64 (*.f64 x 2) (/.f64 (+.f64 x y) y))
66.0ms	(/.f64 1 (/.f64 (*.f64 x 2) (/.f64 (+.f64 x y) y)))
38.0ms	(/.f64 (+.f64 x y) y)

simplify107.0ms (5.5%)

Algorithm

1×	egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4940	4028
1	4940	4028

prune178.0ms (9.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	213	1	214
Fresh	1	0	1
Picked	1	0	1
Done	0	2	2
Total	215	3	218

Merged error: 0b

Counts

218 → 3

Compiler

Compiled 3674 to 1514 computations (58.8% saved)

regimes17.0ms (0.9%)

Compiler: Compiled 58 to 54 computations (6.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	10
1	8	10

end0.0ms (0%)

sample453.0ms (23.5%)

Algorithm

1×

intervals

Results

225.0ms	8000×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 51 to 47 computations (7.8% saved)

Details

analyze98.0ms (5.1%)

sample13.0ms (0.7%)

simplify165.0ms (8.5%)

prune2.0ms (0.1%)

localize6.0ms (0.3%)

rewrite11.0ms (0.6%)

series66.0ms (3.4%)

simplify43.0ms (2.2%)

prune95.0ms (4.9%)

localize5.0ms (0.2%)

rewrite15.0ms (0.8%)

series37.0ms (1.9%)

simplify86.0ms (4.4%)

prune18.0ms (0.9%)

localize6.0ms (0.3%)

rewrite29.0ms (1.5%)

series108.0ms (5.6%)

simplify52.0ms (2.7%)

prune67.0ms (3.4%)

localize7.0ms (0.4%)

rewrite55.0ms (2.8%)

series191.0ms (9.9%)

simplify107.0ms (5.5%)

prune178.0ms (9.2%)

regimes17.0ms (0.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample453.0ms (23.5%)

Profiling