Details

analyze300.0ms (6.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	14
1	11	14
0	2	2
1	2	2

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 6 to 5 computations (16.7% saved)

sample23.0ms (0.5%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
1.0ms	17×	body	128	invalid

Compiler

Compiled 11 to 11 computations (0% saved)

simplify14.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

prune3.0ms (0.1%)

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

9.8b

Counts

2 → 1

Compiler

Compiled 10 to 8 computations (20% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

9.5b	(/.f64 x (*.f64 y y))

rewrite11.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-cbrt-cube_binary64_12049` `add-exp-log_binary64_12051`
3×	`times-frac_binary64_12019` `add-sqr-sqrt_binary64_12035` `add-cube-cbrt_binary64_12048` `associate-/l_binary64_11958` `-un-lft-identity_binary64_12013`
2×	`div-exp_binary64_12064` `cbrt-undiv_binary64_12047`
1×	`add-log-exp_binary64_12052` `associate-/r*_binary64_11957` `clear-num_binary64_12012` `div-inv_binary64_12010` `pow1_binary64_12074` `frac-2neg_binary64_12024` `cbrt-unprod_binary64_12046` `prod-exp_binary64_12062`

Counts

1 → 21

Calls

1 calls:

9.0ms

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

series117.0ms (2.7%)

Counts

1 → 6

Calls

1 calls:

117.0ms

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

Compiler

Compiled 60 to 60 computations (0% saved)

simplify133.0ms (3%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (117.0ms)

Iter	Nodes	Cost
0	6109	244

prune44.0ms (1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	21	6	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	7	28

Error

0.0b

Counts

28 → 7

Compiler

Compiled 266 to 88 computations (66.9% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite25.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`times-frac_binary64_12019`
43×	`add-sqr-sqrt_binary64_12035` `add-cube-cbrt_binary64_12048` `*-un-lft-identity_binary64_12013`
13×	`associate-/l*_binary64_11958`
6×	`add-cbrt-cube_binary64_12049` `add-exp-log_binary64_12051`
5×	`div-inv_binary64_12010`
3×	`associate-/r*_binary64_11957` `div-exp_binary64_12064` `cbrt-undiv_binary64_12047`
1×	`add-log-exp_binary64_12052` `clear-num_binary64_12012` `pow1_binary64_12074` `frac-2neg_binary64_12024` `associate-/l/_binary64_11960`

Counts

1 → 70

Calls

1 calls:

12.0ms

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

series111.0ms (2.5%)

Counts

1 → 6

Calls

1 calls:

111.0ms

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

Compiler

Compiled 60 to 60 computations (0% saved)

simplify165.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (138.0ms)

Iter	Nodes	Cost
0	4763	1090
1	4763	1090

prune101.0ms (2.3%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	71	5	76
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	72	11	83

Error

Counts

83 → 11

Compiler

Compiled 998 to 338 computations (66.1% saved)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite29.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`add-sqr-sqrt_binary64_12035`
25×	`times-frac_binary64_12019`
23×	`add-exp-log_binary64_12051`
17×	`*-un-lft-identity_binary64_12013`
15×	`add-cube-cbrt_binary64_12048`
13×	`add-cbrt-cube_binary64_12049` `associate-l_binary64_11954` `associate-r_binary64_11953`
8×	`div-exp_binary64_12064` `prod-exp_binary64_12062`
6×	`unswap-sqr_binary64_11981`
4×	`cbrt-undiv_binary64_12047` `cbrt-unprod_binary64_12046`
3×	`pow1_binary64_12074`
2×	`rec-exp_binary64_12063` `div-inv_binary64_12010` `1-exp_binary64_12057`
1×	`add-log-exp_binary64_12052` `-commutative_binary64_11944` `pow-prod-down_binary64_12084` `associate-l/_binary64_11956` `associate-*r/_binary64_11955` `frac-times_binary64_12023`

Counts

1 → 56

Calls

1 calls:

20.0ms

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

series121.0ms (2.7%)

Counts

1 → 6

Calls

1 calls:

120.0ms

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

Compiler

Compiled 60 to 60 computations (0% saved)

simplify181.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (158.0ms)

Iter	Nodes	Cost
0	5798	635

prune76.0ms (1.7%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	62	11	73

Error

Counts

73 → 11

Compiler

Compiled 741 to 272 computations (63.3% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b	(/.f64 y (/.f64 x y))
0.4b	(/.f64 1 (/.f64 y (/.f64 x y)))

rewrite102.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Rules

471×	`times-frac_binary64_12019`
229×	`add-sqr-sqrt_binary64_12035` `add-cube-cbrt_binary64_12048` `*-un-lft-identity_binary64_12013`
57×	`associate-/r*_binary64_11957`
28×	`add-exp-log_binary64_12051`
22×	`div-inv_binary64_12010`
18×	`div-exp_binary64_12064`
16×	`add-cbrt-cube_binary64_12049`
9×	`cbrt-undiv_binary64_12047`
6×	`associate-/r/_binary64_11959` `associate-/l*_binary64_11958`
3×	`rec-exp_binary64_12063` `pow1_binary64_12074` `1-exp_binary64_12057`
2×	`add-log-exp_binary64_12052` `clear-num_binary64_12012` `frac-2neg_binary64_12024`
1×	`pow-flip_binary64_12087` `inv-pow_binary64_12098`

Counts

2 → 274

Calls

2 calls:

26.0ms	(/.f64 1 (/.f64 y (/.f64 x y)))
12.0ms	(/.f64 y (/.f64 x y))

series246.0ms (5.6%)

Counts

2 → 12

Calls

2 calls:

132.0ms	(/.f64 1 (/.f64 y (/.f64 x y)))
114.0ms	(/.f64 y (/.f64 x y))

Compiler

Compiled 144 to 144 computations (0% saved)

simplify258.0ms (5.9%)

Algorithm

1×	egg-herbie

Counts

286 → 286

Iterations

Useful iterations: 0 (150.0ms)

Iter	Nodes	Cost
0	5068	5036

prune345.0ms (7.8%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	285	1	286
Fresh	2	5	7
Picked	0	1	1
Done	0	3	3
Total	287	10	297

Error

Counts

297 → 10

Compiler

Compiled 4084 to 1462 computations (64.2% saved)

regimes666.0ms (15.1%)

Accuracy

Total 0.2b remaining (98%)

Threshold costs 0.2b (98%)

Compiler

Compiled 1621 to 1034 computations (36.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	7
1	5	7

end0.0ms (0%)

sample1.3s (29.6%)

Algorithm

1×

intervals

Results

281.0ms	8000×	body	128	valid
13.0ms	388×	body	128	invalid

Compiler

Compiled 384 to 248 computations (35.4% saved)

Details

analyze300.0ms (6.8%)

sample23.0ms (0.5%)

simplify14.0ms (0.3%)

prune3.0ms (0.1%)

localize7.0ms (0.2%)

rewrite11.0ms (0.2%)

series117.0ms (2.7%)

simplify133.0ms (3%)

prune44.0ms (1%)

localize6.0ms (0.1%)

rewrite25.0ms (0.6%)

series111.0ms (2.5%)

simplify165.0ms (3.7%)

prune101.0ms (2.3%)

localize9.0ms (0.2%)

rewrite29.0ms (0.7%)

series121.0ms (2.7%)

simplify181.0ms (4.1%)

prune76.0ms (1.7%)

localize9.0ms (0.2%)

rewrite102.0ms (2.3%)

series246.0ms (5.6%)

simplify258.0ms (5.9%)

prune345.0ms (7.8%)

regimes666.0ms (15.1%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.3s (29.6%)

Profiling