Details

analyze665.0ms (30.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
28.1%	68.6%	3.3%	10
29.6%	65.5%	4.9%	11
32%	61.7%	6.3%	12
35.5%	56.9%	7.6%	13
48%	38.7%	13.4%	14

Compiler

Compiled 16 to 12 computations (25% saved)

sample24.0ms (1.1%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
3.0ms	69×	body	128	invalid

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify176.0ms (8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	1064	13
1	1064	13

prune4.0ms (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

Counts

2 → 2

Compiler

Compiled 33 to 27 computations (18.2% saved)

localize14.0ms (0.7%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (*.f64 d4 d1))
0.0b	(-.f64 (+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (.f64 d4 d1)) (.f64 d1 d1))
0.0b	(-.f64 (.f64 d1 d2) (.f64 d1 d3))

rewrite24.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-log-exp_binary64_5232`
6×	`diff-log_binary64_5285`
4×	`sum-log_binary64_5284` `add-sqr-sqrt_binary64_5215`
3×	`add-cbrt-cube_binary64_5229` `add-cube-cbrt_binary64_5228` `sub-neg_binary64_5186` `*-un-lft-identity_binary64_5193` `cancel-sign-sub-inv_binary64_5159` `add-exp-log_binary64_5231` `pow1_binary64_5254`
2×	`flip3--_binary64_5197` `flip--_binary64_5168` `associate-+l-_binary64_5128` `associate-+l+_binary64_5126`
1×	`distribute-lft-out--_binary64_5145` `associate--l-_binary64_5131` `flip-+_binary64_5167` `associate--l+_binary64_5130` `+-commutative_binary64_5123` `flip3-+_binary64_5196` `difference-of-squares_binary64_5162`

Counts

3 → 45

Calls

3 calls:

10.0ms	(-.f64 (+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (.f64 d4 d1)) (.f64 d1 d1))
7.0ms	(+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (*.f64 d4 d1))
4.0ms	(-.f64 (.f64 d1 d2) (.f64 d1 d3))

series119.0ms (5.4%)

Counts

3 → 9

Calls

3 calls:

49.0ms	(-.f64 (+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (.f64 d4 d1)) (.f64 d1 d1))
37.0ms	(+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (*.f64 d4 d1))
32.0ms	(-.f64 (.f64 d1 d2) (.f64 d1 d3))

simplify60.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5022	777

prune39.0ms (1.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	54	2	56

Error

Counts

56 → 2

Compiler

Compiled 911 to 191 computations (79% saved)

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))

rewrite15.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64_5193`
6×	`associate-r_binary64_5133`
5×	`add-sqr-sqrt_binary64_5215`
3×	`add-cbrt-cube_binary64_5229` `distribute-lft-out--_binary64_5145` `associate-l_binary64_5134` `add-cube-cbrt_binary64_5228` `distribute-lft-out_binary64_5144` `add-exp-log_binary64_5231` `pow1_binary64_5254`
2×	`associate-*r/_binary64_5135`
1×	`pow-prod-down_binary64_5264` `add-log-exp_binary64_5232` `distribute-rgt-in_binary64_5143` `flip-+_binary64_5167` `*-commutative_binary64_5124` `flip3-+_binary64_5196` `prod-exp_binary64_5242` `unswap-sqr_binary64_5161` `distribute-lft-in_binary64_5142` `cbrt-unprod_binary64_5226`

Counts

1 → 25

Calls

1 calls:

13.0ms

(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))

series43.0ms (2%)

Counts

1 → 3

Calls

1 calls:

43.0ms

(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))

simplify59.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5034	394

prune18.0ms (0.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	28	0	28
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	28	2	30

Error

Counts

30 → 2

Compiler

Compiled 403 to 72 computations (82.1% saved)

regimes88.0ms (4%)

Accuracy

Total 0.0b remaining (74.4%)

Threshold costs 0.0b (74.4%)

Compiler

Compiled 518 to 474 computations (8.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	52	22
1	52	22

end0.0ms (0%)

sample832.0ms (38%)

Algorithm

1×

intervals

Results

318.0ms	8000×	body	128	valid
91.0ms	2315×	body	128	invalid

Compiler

Compiled 136 to 119 computations (12.5% saved)

Details

analyze665.0ms (30.4%)

sample24.0ms (1.1%)

simplify176.0ms (8%)

prune4.0ms (0.2%)

localize14.0ms (0.7%)

rewrite24.0ms (1.1%)

series119.0ms (5.4%)

simplify60.0ms (2.7%)

prune39.0ms (1.8%)

localize7.0ms (0.3%)

rewrite15.0ms (0.7%)

series43.0ms (2%)

simplify59.0ms (2.7%)

prune18.0ms (0.8%)

regimes88.0ms (4%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample832.0ms (38%)

Profiling