Details

analyze61.0ms (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
25%	74.9%	0.1%	5
37.5%	50%	12.6%	6
50%	37.5%	12.6%	7
56.2%	25%	18.8%	8
62.4%	18.7%	18.8%	9
65.6%	12.5%	22%	10
68.7%	9.4%	22%	11
70.2%	6.2%	23.5%	12
71.8%	4.7%	23.5%	13
72.6%	3.1%	24.3%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample13.0ms (0.6%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify105.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	35	10
1	35	10

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

Error

8.2b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 4 expressions with local error:

7.9b	(.f64 (.f64 (*.f64 x 3) x) y)
0.2b	(.f64 (.f64 x 3) x)
0.2b	(.f64 (.f64 x 3) x)
7.9b	(.f64 (.f64 (*.f64 x 3) x) y)

rewrite16.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-exp-log_binary64_20235` `add-cbrt-cube_binary64_20233` `pow1_binary64_20258`
9×	`cbrt-unprod_binary64_20230` `prod-exp_binary64_20246` `pow-prod-down_binary64_20268`
6×	`associate-r_binary64_20137`
4×	`add-sqr-sqrt_binary64_20219` `*-un-lft-identity_binary64_20197` `add-cube-cbrt_binary64_20232`
2×	`add-log-exp_binary64_20236` `-commutative_binary64_20128` `associate-l*_binary64_20138`

Counts

2 → 39

Calls

4 calls:

7.0ms	(.f64 (.f64 (*.f64 x 3) x) y)
5.0ms	(.f64 (.f64 x 3) x)
0.0ms	(.f64 (.f64 x 3) x)
0.0ms	(.f64 (.f64 (*.f64 x 3) x) y)

series100.0ms (4.6%)

Counts

2 → 9

Calls

2 calls:

75.0ms	(.f64 (.f64 (*.f64 x 3) x) y)
25.0ms	(.f64 (.f64 x 3) x)

Compiler

Compiled 126 to 126 computations (0% saved)

simplify69.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5053	472

prune54.0ms (2.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	39	9	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	10	49

Error

0.0b

Counts

49 → 10

Compiler

Compiled 578 to 389 computations (32.7% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b	(.f64 (.f64 x 3) (*.f64 x y))
0.2b	(.f64 (.f64 x 3) (*.f64 x y))

rewrite8.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-exp-log_binary64_20235` `add-cbrt-cube_binary64_20233` `pow1_binary64_20258`
8×	`cbrt-unprod_binary64_20230` `prod-exp_binary64_20246` `pow-prod-down_binary64_20268`
1×	`add-sqr-sqrt_binary64_20219` `-un-lft-identity_binary64_20197` `add-log-exp_binary64_20236` `add-cube-cbrt_binary64_20232` `-commutative_binary64_20128` `associate-l_binary64_20138` `associate-r_binary64_20137`

Counts

1 → 22

Calls

2 calls:

6.0ms	(.f64 (.f64 x 3) (*.f64 x y))
0.0ms	(.f64 (.f64 x 3) (*.f64 x y))

series74.0ms (3.4%)

Counts

1 → 6

Calls

1 calls:

74.0ms

(*.f64 (*.f64 x 3) (*.f64 x y))

Compiler

Compiled 84 to 84 computations (0% saved)

simplify68.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4952	313
1	4952	313

prune30.0ms (1.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	26	2	28
Fresh	1	7	8
Picked	0	1	1
Done	1	0	1
Total	28	10	38

Error

0.0b

Counts

38 → 10

Compiler

Compiled 382 to 236 computations (38.2% saved)

localize5.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 3 (.f64 x y))
0.2b	(.f64 x (.f64 3 (*.f64 x y)))
0.2b	(.f64 x (.f64 3 (*.f64 x y)))
0.3b	(.f64 3 (.f64 x y))

rewrite15.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-exp-log_binary64_20235` `add-cbrt-cube_binary64_20233` `pow1_binary64_20258`
9×	`cbrt-unprod_binary64_20230` `prod-exp_binary64_20246` `pow-prod-down_binary64_20268`
6×	`associate-l_binary64_20138`
4×	`add-sqr-sqrt_binary64_20219` `*-un-lft-identity_binary64_20197` `add-cube-cbrt_binary64_20232`
2×	`add-log-exp_binary64_20236` `-commutative_binary64_20128` `associate-r*_binary64_20137`

Counts

2 → 39

Calls

4 calls:

7.0ms	(.f64 x (.f64 3 (*.f64 x y)))
5.0ms	(.f64 3 (.f64 x y))
0.0ms	(.f64 x (.f64 3 (*.f64 x y)))
0.0ms	(.f64 3 (.f64 x y))

series124.0ms (5.7%)

Counts

2 → 12

Calls

2 calls:

72.0ms	(.f64 x (.f64 3 (*.f64 x y)))
52.0ms	(.f64 3 (.f64 x y))

Compiler

Compiled 168 to 156 computations (7.1% saved)

simplify60.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5208	500

prune44.0ms (2%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	48	3	51
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	49	12	61

Error

0.0b

Counts

61 → 12

Compiler

Compiled 625 to 369 computations (41% saved)

localize7.0ms (0.3%)

Local error

Found 6 expressions with local error:

0.3b	(.f64 (.f64 x y) (sqrt.f64 3))
0.3b	(.f64 (sqrt.f64 3) (.f64 (*.f64 x y) (sqrt.f64 3)))
0.2b	(.f64 x (.f64 (sqrt.f64 3) (.f64 (.f64 x y) (sqrt.f64 3))))
0.2b	(.f64 x (.f64 (sqrt.f64 3) (.f64 (.f64 x y) (sqrt.f64 3))))
0.3b	(.f64 (sqrt.f64 3) (.f64 (*.f64 x y) (sqrt.f64 3)))
0.3b	(.f64 (.f64 x y) (sqrt.f64 3))

rewrite34.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-exp-log_binary64_20235` `add-cbrt-cube_binary64_20233` `pow1_binary64_20258`
19×	`cbrt-unprod_binary64_20230` `prod-exp_binary64_20246` `pow-prod-down_binary64_20268`
10×	`associate-l_binary64_20138`
8×	`add-sqr-sqrt_binary64_20219` `-un-lft-identity_binary64_20197` `add-cube-cbrt_binary64_20232` `associate-r*_binary64_20137`
6×	`sqrt-prod_binary64_20213`
3×	`add-log-exp_binary64_20236` `*-commutative_binary64_20128`

Counts

3 → 69

Calls

6 calls:

11.0ms	(.f64 x (.f64 (sqrt.f64 3) (.f64 (.f64 x y) (sqrt.f64 3))))
10.0ms	(.f64 (sqrt.f64 3) (.f64 (*.f64 x y) (sqrt.f64 3)))
7.0ms	(.f64 (.f64 x y) (sqrt.f64 3))
0.0ms	(.f64 x (.f64 (sqrt.f64 3) (.f64 (.f64 x y) (sqrt.f64 3))))
0.0ms	(.f64 (sqrt.f64 3) (.f64 (*.f64 x y) (sqrt.f64 3)))

series348.0ms (16.1%)

Counts

3 → 18

Calls

3 calls:

143.0ms	(.f64 x (.f64 (sqrt.f64 3) (.f64 (.f64 x y) (sqrt.f64 3))))
116.0ms	(.f64 (sqrt.f64 3) (.f64 (*.f64 x y) (sqrt.f64 3)))
89.0ms	(.f64 (.f64 x y) (sqrt.f64 3))

Compiler

Compiled 372 to 348 computations (6.5% saved)

simplify48.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4952	887
1	4952	887

prune64.0ms (2.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	85	2	87
Fresh	2	7	9
Picked	1	0	1
Done	1	1	2
Total	89	10	99

Error

Counts

99 → 10

Compiler

Compiled 1004 to 624 computations (37.8% saved)

simplify9.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	111	388
1	111	388

regimes73.0ms (3.4%)

Compiler: Compiled 516 to 438 computations (15.1% saved)

bsearch0.0ms (0%)

regimes16.0ms (0.7%)

Accuracy

Total 0.2b remaining (95.2%)

Threshold costs 0.2b (95.2%)

Compiler

Compiled 10 to 26 computations (-160% saved)

bsearch2.0ms (0.1%)

Compiler: Compiled 9 to 12 computations (-33.3% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	12
1	12	12

end0.0ms (0%)

sample701.0ms (32.4%)

Algorithm

1×

intervals

Results

198.0ms	8000×	body	128	valid
2.0ms	87×	body	128	invalid

Compiler

Compiled 280 to 242 computations (13.6% saved)

Pareto

0.0

Details

analyze61.0ms (2.8%)

sample13.0ms (0.6%)

simplify105.0ms (4.9%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite16.0ms (0.7%)

series100.0ms (4.6%)

simplify69.0ms (3.2%)

prune54.0ms (2.5%)

localize5.0ms (0.2%)

rewrite8.0ms (0.4%)

series74.0ms (3.4%)

simplify68.0ms (3.1%)

prune30.0ms (1.4%)

localize5.0ms (0.2%)

rewrite15.0ms (0.7%)

series124.0ms (5.7%)

simplify60.0ms (2.8%)

prune44.0ms (2%)

localize7.0ms (0.3%)

rewrite34.0ms (1.6%)

series348.0ms (16.1%)

simplify48.0ms (2.2%)

prune64.0ms (2.9%)

simplify9.0ms (0.4%)

regimes73.0ms (3.4%)

bsearch0.0ms (0%)

regimes16.0ms (0.7%)

bsearch2.0ms (0.1%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample701.0ms (32.4%)

Profiling