Details

analyze207.0ms (5.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	26
1	40	26
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
25%	74.9%	0.1%	5
25%	62.4%	12.6%	6
25%	40.6%	34.4%	7
31.2%	25%	43.8%	8
39%	17.2%	43.8%	9
42.9%	13.3%	43.8%	10
47.2%	9%	43.8%	11
49.4%	6.8%	43.8%	12
51.6%	4.6%	43.8%	13
52.7%	3.5%	43.8%	14

Compiler

Compiled 12 to 9 computations (25% saved)

sample26.0ms (0.7%)

Algorithm

1×

intervals

Results

12.0ms

256×

body

128

valid

Compiler

Compiled 23 to 19 computations (17.4% saved)

simplify9.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	24	13
1	24	13

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

0.0b

Counts

2 → 2

Compiler

Compiled 29 to 22 computations (24.1% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))
0.0b	(+.f64 (.f64 x 2) (.f64 x x))

rewrite37.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

9×	`add-log-exp_binary64_12052`
4×	`sum-log_binary64_12104`
2×	`pow1_binary64_12074` `add-exp-log_binary64_12051` `add-cbrt-cube_binary64_12049` `add-cube-cbrt_binary64_12048` `add-sqr-sqrt_binary64_12035` `flip3-+_binary64_12016` `*-un-lft-identity_binary64_12013` `flip-+_binary64_11987` `+-commutative_binary64_11943`
1×	`distribute-lft-out_binary64_11964` `associate-+l+_binary64_11946`

Counts

2 → 25

Calls

2 calls:

10.0ms	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))
4.0ms	(+.f64 (.f64 x 2) (.f64 x x))

Compiler

Compiled 519 to 236 computations (54.5% saved)

series204.0ms (5.7%)

Error

0.0b

Counts

2 → 21

Calls

2 calls:

150.0ms	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))
41.0ms	(+.f64 (.f64 x 2) (.f64 x x))

Compiler

Compiled 425 to 348 computations (18.1% saved)

simplify85.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4963	541
1	4963	541

prune48.0ms (1.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	45	1	46
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	45	3	48

Error

Counts

48 → 3

Compiler

Compiled 562 to 284 computations (49.5% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))
0.0b	(*.f64 x (+.f64 x 2))

rewrite41.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`add-sqr-sqrt_binary64_12035` `*-un-lft-identity_binary64_12013`
4×	`pow1_binary64_12074` `add-exp-log_binary64_12051` `add-log-exp_binary64_12052` `add-cbrt-cube_binary64_12049` `add-cube-cbrt_binary64_12048` `associate-r_binary64_11953`
3×	`associate-l_binary64_11954`
2×	`distribute-rgt-in_binary64_11963` `distribute-lft-in_binary64_11962` `flip3-+_binary64_12016` `associate-*r/_binary64_11955` `flip-+_binary64_11987` `associate-+l+_binary64_11946`
1×	`pow-prod-down_binary64_12084` `prod-exp_binary64_12062` `cbrt-unprod_binary64_12046` `unswap-sqr_binary64_11981` `distribute-lft-out_binary64_11964` `*-commutative_binary64_11944` `sum-log_binary64_12104` `+-commutative_binary64_11943`

Counts

2 → 36

Calls

2 calls:

6.0ms	(+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))
6.0ms	(*.f64 x (+.f64 x 2))

Compiler

Compiled 583 to 313 computations (46.3% saved)

series220.0ms (6.1%)

Error

Counts

2 → 21

Calls

2 calls:

152.0ms	(+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))
57.0ms	(*.f64 x (+.f64 x 2))

Compiler

Compiled 425 to 348 computations (18.1% saved)

simplify71.0ms (2%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5006	611

prune60.0ms (1.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	57	3	60

Error

Counts

60 → 3

Compiler

Compiled 683 to 353 computations (48.3% saved)

localize18.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 x (.f64 x (*.f64 (+.f64 2 x) (+.f64 2 x))))
0.1b	(.f64 x (.f64 (+.f64 2 x) (+.f64 2 x)))
1.7b	(-.f64 (.f64 x (.f64 x (*.f64 (+.f64 2 x) (+.f64 2 x)))) (pow.f64 y 4))
28.6b	(/.f64 (-.f64 (.f64 x (.f64 x (.f64 (+.f64 2 x) (+.f64 2 x)))) (pow.f64 y 4)) (-.f64 (.f64 x (+.f64 2 x)) (*.f64 y y)))

rewrite369.0ms (10.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

28×	`distribute-rgt-in_binary64_11963` `distribute-lft-in_binary64_11962` `associate-*r/_binary64_11955`
20×	`add-exp-log_binary64_12051` `add-cbrt-cube_binary64_12049`
18×	`pow1_binary64_12074`
17×	`add-sqr-sqrt_binary64_12035`
16×	`add-cube-cbrt_binary64_12048` `*-un-lft-identity_binary64_12013`
12×	`flip3-+_binary64_12016` `flip-+_binary64_11987`
9×	`times-frac_binary64_12019` `pow-prod-down_binary64_12084` `prod-exp_binary64_12062` `cbrt-unprod_binary64_12046`
8×	`associate--l+_binary64_11950` `frac-times_binary64_12023`
7×	`cancel-sign-sub-inv_binary64_11979`
6×	`add-log-exp_binary64_12052` `associate-l_binary64_11954`
4×	`associate-*l/_binary64_11956`
3×	`flip3--_binary64_12017` `flip--_binary64_11988` `associate-/l_binary64_11958` `associate-/r_binary64_11957` `unpow-prod-down_binary64_12092`
2×	`associate-/l/_binary64_11960` `associate-/r/_binary64_11959` `associate-r_binary64_11953` `*-commutative_binary64_11944`
1×	`div-exp_binary64_12064` `cbrt-undiv_binary64_12047` `frac-2neg_binary64_12024` `div-sub_binary64_12018` `clear-num_binary64_12012` `div-inv_binary64_12010` `diff-log_binary64_12105` `sub-neg_binary64_12006` `sqr-pow_binary64_11985` `unswap-sqr_binary64_11981`

Counts

4 → 126

Calls

4 calls:

38.0ms	(/.f64 (-.f64 (.f64 x (.f64 x (.f64 (+.f64 2 x) (+.f64 2 x)))) (pow.f64 y 4)) (-.f64 (.f64 x (+.f64 2 x)) (*.f64 y y)))
33.0ms	(-.f64 (.f64 x (.f64 x (*.f64 (+.f64 2 x) (+.f64 2 x)))) (pow.f64 y 4))
18.0ms	(.f64 x (.f64 (+.f64 2 x) (+.f64 2 x)))
15.0ms	(.f64 x (.f64 x (*.f64 (+.f64 2 x) (+.f64 2 x))))

Compiler

Compiled 4861 to 3050 computations (37.3% saved)

series901.0ms (25%)

Error

Counts

4 → 51

Calls

4 calls:

457.0ms	(/.f64 (-.f64 (.f64 x (.f64 x (.f64 (+.f64 2 x) (+.f64 2 x)))) (pow.f64 y 4)) (-.f64 (.f64 x (+.f64 2 x)) (*.f64 y y)))
243.0ms	(-.f64 (.f64 x (.f64 x (*.f64 (+.f64 2 x) (+.f64 2 x)))) (pow.f64 y 4))
77.0ms	(.f64 x (.f64 x (*.f64 (+.f64 2 x) (+.f64 2 x))))
61.0ms	(.f64 x (.f64 (+.f64 2 x) (+.f64 2 x)))

Compiler

Compiled 2569 to 1930 computations (24.9% saved)

simplify74.0ms (2%)

Algorithm

1×	egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5550	3444

prune260.0ms (7.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	177	0	177
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	177	3	180

Error

Counts

180 → 3

Compiler

Compiled 4878 to 3031 computations (37.9% saved)

regimes146.0ms (4%)

Accuracy

Total 0.0b remaining (62.6%)

Threshold costs 0.0b (62.6%)

Compiler

Compiled 746 to 632 computations (15.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	16
1	12	16

end0.0ms (0%)

sample813.0ms (22.6%)

Algorithm

1×

intervals

Results

265.0ms	8000×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 174 to 145 computations (16.7% saved)

Details

analyze207.0ms (5.7%)

sample26.0ms (0.7%)

simplify9.0ms (0.3%)

prune3.0ms (0.1%)

localize7.0ms (0.2%)

rewrite37.0ms (1%)

series204.0ms (5.7%)

simplify85.0ms (2.3%)

prune48.0ms (1.3%)

localize6.0ms (0.2%)

rewrite41.0ms (1.1%)

series220.0ms (6.1%)

simplify71.0ms (2%)

prune60.0ms (1.7%)

localize18.0ms (0.5%)

rewrite369.0ms (10.2%)

series901.0ms (25%)

simplify74.0ms (2%)

prune260.0ms (7.2%)

regimes146.0ms (4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample813.0ms (22.6%)

Profiling