Details

analyze78.0ms (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
50%	50%	0.1%	5
50%	50%	0.1%	6
62.4%	34.3%	3.2%	7
62.4%	32.8%	4.8%	8
68.7%	21.1%	10.2%	9
68.7%	19.1%	12.2%	10
71.8%	11.5%	16.7%	11
71.8%	10.2%	18%	12
73.4%	6%	20.6%	13
73.4%	5.3%	21.3%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample13.0ms (0.5%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	13×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify97.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	10
1	12	10

prune6.0ms (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

3.7b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

9.0b	(/.f64 x (*.f64 y y))

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-cbrt-cube_binary64_10003` `add-exp-log_binary64_10005`
3×	`add-sqr-sqrt_binary64_9989` `times-frac_binary64_9973` `associate-/l_binary64_9912` `add-cube-cbrt_binary64_10002` `-un-lft-identity_binary64_9967`
2×	`div-exp_binary64_10018` `cbrt-undiv_binary64_10001`
1×	`prod-exp_binary64_10016` `cbrt-unprod_binary64_10000` `add-log-exp_binary64_10006` `div-inv_binary64_9964` `associate-/r*_binary64_9911` `pow1_binary64_10028` `frac-2neg_binary64_9978` `clear-num_binary64_9966`

Counts

1 → 21

Calls

1 calls:

4.0ms

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

series18.0ms (0.7%)

Counts

1 → 3

Calls

1 calls:

18.0ms

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

simplify75.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	6109	223

prune22.0ms (0.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	21	3	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	4	25

Error

0.0b

Counts

25 → 4

Compiler

Compiled 276 to 127 computations (54% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b	(/.f64 y (/.f64 x y))
0.3b	(/.f64 1 (/.f64 y (/.f64 x y)))

rewrite52.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

471×	`times-frac_binary64_9973`
229×	`add-sqr-sqrt_binary64_9989` `add-cube-cbrt_binary64_10002` `*-un-lft-identity_binary64_9967`
57×	`associate-/r*_binary64_9911`
28×	`add-exp-log_binary64_10005`
22×	`div-inv_binary64_9964`
18×	`div-exp_binary64_10018`
16×	`add-cbrt-cube_binary64_10003`
9×	`cbrt-undiv_binary64_10001`
6×	`associate-/l*_binary64_9912` `associate-/r/_binary64_9913`
3×	`1-exp_binary64_10011` `rec-exp_binary64_10017` `pow1_binary64_10028`
2×	`add-log-exp_binary64_10006` `frac-2neg_binary64_9978` `clear-num_binary64_9966`
1×	`inv-pow_binary64_10052` `pow-flip_binary64_10041`

Counts

2 → 274

Calls

2 calls:

16.0ms	(/.f64 1 (/.f64 y (/.f64 x y)))
6.0ms	(/.f64 y (/.f64 x y))

series29.0ms (1.1%)

Counts

2 → 6

Calls

2 calls:

15.0ms	(/.f64 1 (/.f64 y (/.f64 x y)))
14.0ms	(/.f64 y (/.f64 x y))

simplify139.0ms (5.4%)

Algorithm

1×	egg-herbie

Counts

280 → 280

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	5068	4994

prune239.0ms (9.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	278	2	280
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	279	5	284

Error

Counts

284 → 5

Compiler

Compiled 4642 to 2043 computations (56% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.2b	(*.f64 (/.f64 1 y) (/.f64 x y))

rewrite17.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`add-sqr-sqrt_binary64_9989`
25×	`times-frac_binary64_9973`
23×	`add-exp-log_binary64_10005`
17×	`*-un-lft-identity_binary64_9967`
15×	`add-cube-cbrt_binary64_10002`
13×	`add-cbrt-cube_binary64_10003` `associate-l_binary64_9908` `associate-r_binary64_9907`
8×	`div-exp_binary64_10018` `prod-exp_binary64_10016`
6×	`unswap-sqr_binary64_9935`
4×	`cbrt-undiv_binary64_10001` `cbrt-unprod_binary64_10000`
3×	`pow1_binary64_10028`
2×	`1-exp_binary64_10011` `rec-exp_binary64_10017` `div-inv_binary64_9964`
1×	`frac-times_binary64_9977` `associate-l/_binary64_9910` `pow-prod-down_binary64_10038` `add-log-exp_binary64_10006` `associate-r/_binary64_9909` `*-commutative_binary64_9898`

Counts

1 → 56

Calls

1 calls:

12.0ms

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

series17.0ms (0.7%)

Counts

1 → 3

Calls

1 calls:

17.0ms

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

simplify105.0ms (4%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	5798	614

prune244.0ms (9.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	59	5	64

Error

Counts

64 → 5

Compiler

Compiled 759 to 348 computations (54.2% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (/.f64 x y)) y))
0.1b	(/.f64 (sqrt.f64 (/.f64 x y)) y)
10.0b	(sqrt.f64 (/.f64 x y))
10.0b	(sqrt.f64 (/.f64 x y))

rewrite71.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Rules

204×	`times-frac_binary64_9973`
162×	`add-sqr-sqrt_binary64_9989`
144×	`sqrt-prod_binary64_9983`
116×	`add-cube-cbrt_binary64_10002` `*-un-lft-identity_binary64_9967`
52×	`associate-r_binary64_9907`
16×	`associate-l_binary64_9908` `associate-/l*_binary64_9912`
12×	`unswap-sqr_binary64_9935` `div-inv_binary64_9964`
11×	`add-cbrt-cube_binary64_10003` `add-exp-log_binary64_10005`
8×	`pow1_binary64_10028`
5×	`sqrt-div_binary64_9984`
4×	`add-log-exp_binary64_10006` `rem-sqrt-square_binary64_9980`
3×	`associate-/r*_binary64_9911`
2×	`div-exp_binary64_10018` `prod-exp_binary64_10016` `cbrt-undiv_binary64_10001` `cbrt-unprod_binary64_10000` `pow1/2_binary64_10047` `sqrt-pow1_binary64_9985`
1×	`frac-times_binary64_9977` `associate-l/_binary64_9910` `associate-/l/_binary64_9914` `pow-prod-down_binary64_10038` `associate-r/_binary64_9909` `frac-2neg_binary64_9978` `clear-num_binary64_9966` `*-commutative_binary64_9898`

Counts

4 → 226

Calls

4 calls:

35.0ms	(*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (/.f64 x y)) y))
7.0ms	(/.f64 (sqrt.f64 (/.f64 x y)) y)
3.0ms	(sqrt.f64 (/.f64 x y))
3.0ms	(sqrt.f64 (/.f64 x y))

series192.0ms (7.4%)

Counts

4 → 12

Calls

4 calls:

90.0ms	(/.f64 (sqrt.f64 (/.f64 x y)) y)
42.0ms	(sqrt.f64 (/.f64 x y))
40.0ms	(sqrt.f64 (/.f64 x y))
19.0ms	(*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (/.f64 x y)) y))

simplify96.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

238 → 238

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4982	4210
1	4982	4210

prune176.0ms (6.8%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	238	0	238
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	238	5	243

Error

Counts

243 → 5

Compiler

Compiled 4845 to 1259 computations (74% saved)

regimes186.0ms (7.2%)

Accuracy

Total 0.1b remaining (94.6%)

Threshold costs 0.1b (94.6%)

Compiler

Compiled 1698 to 1237 computations (27.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	10
1	17	10

end0.0ms (0%)

sample692.0ms (26.7%)

Algorithm

1×

intervals

Results

194.0ms	8000×	body	128	valid
12.0ms	364×	body	128	invalid

Compiler

Compiled 330 to 246 computations (25.5% saved)

Details

analyze78.0ms (3%)

sample13.0ms (0.5%)

simplify97.0ms (3.7%)

prune6.0ms (0.2%)

localize5.0ms (0.2%)

rewrite6.0ms (0.2%)

series18.0ms (0.7%)

simplify75.0ms (2.9%)

prune22.0ms (0.8%)

localize6.0ms (0.2%)

rewrite52.0ms (2%)

series29.0ms (1.1%)

simplify139.0ms (5.4%)

prune239.0ms (9.2%)

localize6.0ms (0.2%)

rewrite17.0ms (0.6%)

series17.0ms (0.7%)

simplify105.0ms (4%)

prune244.0ms (9.4%)

localize7.0ms (0.3%)

rewrite71.0ms (2.8%)

series192.0ms (7.4%)

simplify96.0ms (3.7%)

prune176.0ms (6.8%)

regimes186.0ms (7.2%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample692.0ms (26.7%)

Profiling