Details

analyze78.0ms (2.8%)

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 6 to 5 computations (16.7% saved)

sample12.0ms (0.4%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	128	valid
0.0ms	20×	body	128	invalid

Compiler

Compiled 11 to 11 computations (0% saved)

simplify99.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

prune2.0ms (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

Merged error: 11.7b

Counts

2 → 1

Compiler

Compiled 10 to 8 computations (20% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

11.4b

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

rewrite10.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-cbrt-cube_binary64_13072` `add-exp-log_binary64_13074`
3×	`-un-lft-identity_binary64_13036` `add-sqr-sqrt_binary64_13058` `associate-/l_binary64_12981` `times-frac_binary64_13042` `add-cube-cbrt_binary64_13071`
2×	`cbrt-undiv_binary64_13070` `div-exp_binary64_13087`
1×	`clear-num_binary64_13035` `add-log-exp_binary64_13075` `div-inv_binary64_13033` `associate-/r*_binary64_12980` `pow1_binary64_13097` `prod-exp_binary64_13085` `frac-2neg_binary64_13047` `cbrt-unprod_binary64_13069`

Counts

1 → 21

Calls

1 calls:

9.0ms

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

series66.0ms (2.4%)

Counts

1 → 6

Calls

1 calls:

66.0ms

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

Compiler

Compiled 68 to 68 computations (0% saved)

simplify57.0ms (2%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4922	250
1	4922	250

prune26.0ms (0.9%)

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

Merged error: 0.0b

Counts

28 → 7

Compiler

Compiled 264 to 93 computations (64.8% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite13.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`times-frac_binary64_13042`
43×	`*-un-lft-identity_binary64_13036` `add-sqr-sqrt_binary64_13058` `add-cube-cbrt_binary64_13071`
13×	`associate-/l*_binary64_12981`
6×	`add-cbrt-cube_binary64_13072` `add-exp-log_binary64_13074`
5×	`div-inv_binary64_13033`
3×	`cbrt-undiv_binary64_13070` `div-exp_binary64_13087` `associate-/r*_binary64_12980`
1×	`clear-num_binary64_13035` `add-log-exp_binary64_13075` `pow1_binary64_13097` `frac-2neg_binary64_13047` `associate-/l/_binary64_12983`

Counts

1 → 70

Calls

1 calls:

6.0ms

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

series65.0ms (2.3%)

Counts

1 → 6

Calls

1 calls:

64.0ms

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

Compiler

Compiled 68 to 68 computations (0% saved)

simplify98.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4827	1096
1	4827	1096

prune51.0ms (1.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	72	4	76
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	73	10	83

Merged error: 0.0b

Counts

83 → 10

Compiler

Compiled 973 to 331 computations (66% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite19.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`add-sqr-sqrt_binary64_13058`
25×	`times-frac_binary64_13042`
23×	`add-exp-log_binary64_13074`
17×	`*-un-lft-identity_binary64_13036`
15×	`add-cube-cbrt_binary64_13071`
13×	`associate-r_binary64_12976` `associate-l_binary64_12977` `add-cbrt-cube_binary64_13072`
8×	`div-exp_binary64_13087` `prod-exp_binary64_13085`
6×	`unswap-sqr_binary64_13004`
4×	`cbrt-undiv_binary64_13070` `cbrt-unprod_binary64_13069`
3×	`pow1_binary64_13097`
2×	`div-inv_binary64_13033` `rec-exp_binary64_13086` `1-exp_binary64_13080`
1×	`add-log-exp_binary64_13075` `associate-l/_binary64_12979` `associate-r/_binary64_12978` `*-commutative_binary64_12967` `frac-times_binary64_13046` `pow-prod-down_binary64_13107`

Counts

1 → 56

Calls

1 calls:

12.0ms

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

series65.0ms (2.4%)

Counts

1 → 6

Calls

1 calls:

65.0ms

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

Compiler

Compiled 68 to 68 computations (0% saved)

simplify80.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4937	641
1	4937	641

prune38.0ms (1.4%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	61	1	62
Fresh	2	5	7
Picked	0	1	1
Done	0	2	2
Total	63	9	72

Merged error: 0.0b

Counts

72 → 9

Compiler

Compiled 703 to 257 computations (63.4% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y)))
9.4b	(cbrt.f64 (/.f64 x y))
9.4b	(cbrt.f64 (/.f64 x y))
9.4b	(cbrt.f64 (/.f64 x y))

rewrite39.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

103×	`cbrt-prod_binary64_13067`
81×	`add-sqr-sqrt_binary64_13058`
69×	`times-frac_binary64_13042`
57×	`*-un-lft-identity_binary64_13036` `add-cube-cbrt_binary64_13071`
16×	`associate-r_binary64_12976` `associate-l_binary64_12977` `swap-sqr_binary64_13003`
11×	`pow1_binary64_13097`
9×	`unswap-sqr_binary64_13004` `pow1/3_binary64_13118`
7×	`div-inv_binary64_13033` `cbrt-div_binary64_13068`
6×	`add-exp-log_binary64_13074`
4×	`add-log-exp_binary64_13075` `add-cbrt-cube_binary64_13072`
2×	`pow-sqr_binary64_13009` `pow-prod-up_binary64_13106` `pow-prod-down_binary64_13107`
1×	`pow2_binary64_13117` `associate-l/_binary64_12979` `prod-exp_binary64_13085` `pow-plus_binary64_13099` `associate-r/_binary64_12978` `*-commutative_binary64_12967` `frac-times_binary64_13046` `cbrt-unprod_binary64_13069`

Counts

4 → 144

Calls

4 calls:

16.0ms	(*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y)))
3.0ms	(cbrt.f64 (/.f64 x y))
2.0ms	(cbrt.f64 (/.f64 x y))
2.0ms	(cbrt.f64 (/.f64 x y))

series1.0s (36.6%)

Counts

4 → 24

Calls

4 calls:

315.0ms	(*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y)))
240.0ms	(cbrt.f64 (/.f64 x y))
230.0ms	(cbrt.f64 (/.f64 x y))
227.0ms	(cbrt.f64 (/.f64 x y))

Compiler

Compiled 1052 to 764 computations (27.4% saved)

simplify77.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4976	2361
1	4976	2361

prune127.0ms (4.6%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	167	1	168
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	167	10	177

Merged error: 0b

Counts

177 → 10

Compiler

Compiled 3513 to 875 computations (75.1% saved)

regimes137.0ms (4.9%)

Compiler: Compiled 1048 to 652 computations (37.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	5	7

end0.0ms (0%)

sample579.0ms (20.9%)

Algorithm

1×

intervals

Results

168.0ms	8000×	body	128	valid
11.0ms	402×	body	128	invalid

Compiler

Compiled 242 to 154 computations (36.4% saved)

Details

analyze78.0ms (2.8%)

sample12.0ms (0.4%)

simplify99.0ms (3.6%)

prune2.0ms (0.1%)

localize3.0ms (0.1%)

rewrite10.0ms (0.4%)

series66.0ms (2.4%)

simplify57.0ms (2%)

prune26.0ms (0.9%)

localize3.0ms (0.1%)

rewrite13.0ms (0.5%)

series65.0ms (2.3%)

simplify98.0ms (3.5%)

prune51.0ms (1.8%)

localize5.0ms (0.2%)

rewrite19.0ms (0.7%)

series65.0ms (2.4%)

simplify80.0ms (2.9%)

prune38.0ms (1.4%)

localize7.0ms (0.3%)

rewrite39.0ms (1.4%)

series1.0s (36.6%)

simplify77.0ms (2.8%)

prune127.0ms (4.6%)

regimes137.0ms (4.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample579.0ms (20.9%)

Profiling