Details

analyze171.0ms (7.9%)

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
25%	62.4%	12.6%	6
25%	46.8%	28.2%	7
31.2%	35.9%	32.9%	8
39%	25%	36%	9
42.9%	18.7%	38.3%	10
47.2%	12.9%	39.9%	11
49.4%	9.6%	41.1%	12
51.6%	6.5%	41.9%	13
52.7%	4.8%	42.4%	14

Compiler

Compiled 16 to 10 computations (37.5% saved)

sample24.0ms (1.1%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 33 to 21 computations (36.4% saved)

simplify9.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
7×	`+-commutative_binary64`
3×	`associate-+r+_binary64`
3×	`associate-+l+_binary64`
3×	`associate-r_binary64`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	18	16
2	36	16
3	38	16
4	38	16

prune7.0ms (0.3%)

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

0.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.0b	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x 2) y)) (.f64 y y))

Compiler

Compiled 43 to 26 computations (39.5% saved)

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite15.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`add-log-exp_binary64`
3×	`sum-log_binary64`
1×	`+-commutative_binary64`
1×	`associate-+l+_binary64`
1×	`flip-+_binary64`

Counts

1 → 13

Calls

1 calls:

5.0ms

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

Compiler

Compiled 336 to 152 computations (54.8% saved)

series29.0ms (1.3%)

Error

0.0b

Counts

1 → 18

Calls

1 calls:

25.0ms

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

Compiler

Compiled 315 to 229 computations (27.3% saved)

simplify100.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

748×	`unswap-sqr_binary64`
508×	`*-commutative_binary64`
378×	`cancel-sign-sub-inv_binary64`
313×	`sub-neg_binary64`
258×	`distribute-rgt-out_binary64`

Counts

31 → 28

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	581
1	138	482
2	387	470
3	1697	470
4	3358	470
5	4873	470
6	4967	470
7	4953	470

prune34.0ms (1.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	26	2	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	26	3	29

Error

0.0b

Counts

29 → 3

Alt Table

Status	Error	Program
▶	0.0b	(+.f64 (.f64 y (+.f64 y (+.f64 x x))) (.f64 x x))
✓	0.0b	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x 2) y)) (.f64 y y))
	36.1b	(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (+.f64 x (.f64 y 2)) (+.f64 x (.f64 y 2)))) (pow.f64 y 4)) (-.f64 (.f64 x (+.f64 x (.f64 y 2))) (.f64 y y)))

Compiler

Compiled 322 to 130 computations (59.6% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite36.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`*-un-lft-identity_binary64`
6×	`add-sqr-sqrt_binary64`
5×	`associate-r_binary64`
4×	`add-cube-cbrt_binary64`
4×	`add-cbrt-cube_binary64`

Counts

2 → 37

Calls

2 calls:

9.0ms	(*.f64 y (+.f64 y (+.f64 x x)))
7.0ms	(+.f64 (.f64 y (+.f64 y (+.f64 x x))) (.f64 x x))

Compiler

Compiled 670 to 128 computations (80.9% saved)

series53.0ms (2.4%)

Error

0.0b

Counts

2 → 30

Calls

2 calls:

30.0ms	(+.f64 (.f64 y (+.f64 y (+.f64 x x))) (.f64 x x))
18.0ms	(*.f64 y (+.f64 y (+.f64 x x)))

Compiler

Compiled 584 to 401 computations (31.3% saved)

simplify84.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

598×	`distribute-rgt-in_binary64`
572×	`distribute-lft-in_binary64`
255×	`unswap-sqr_binary64`
212×	`cancel-sign-sub-inv_binary64`
209×	`associate--r+_binary64`

Counts

67 → 54

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	74	966
1	230	855
2	775	843
3	2855	753
4	4627	741
5	4948	741

prune18.0ms (0.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	52	2	54
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	53	4	57

Error

Counts

57 → 4

Alt Table

Status	Error	Program
	9.3b	(+.f64 (/.f64 (-.f64 (pow.f64 y 3) (.f64 4 (.f64 (.f64 x x) y))) (-.f64 y (+.f64 x x))) (.f64 x x))
▶	0.0b	(*.f64 (+.f64 x y) (+.f64 x y))
✓	0.0b	(+.f64 (.f64 y (+.f64 y (+.f64 x x))) (.f64 x x))
✓	0.0b	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x 2) y)) (.f64 y y))

Compiler

Compiled 427 to 148 computations (65.3% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite25.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

19×	`*-un-lft-identity_binary64`
8×	`pow1_binary64`
7×	`add-sqr-sqrt_binary64`
6×	`distribute-lft-out_binary64`
6×	`swap-sqr_binary64`

Counts

1 → 40

Calls

1 calls:

6.0ms

(*.f64 (+.f64 x y) (+.f64 x y))

Compiler

Compiled 517 to 121 computations (76.6% saved)

series22.0ms (1%)

Error

Counts

1 → 18

Calls

1 calls:

20.0ms

(*.f64 (+.f64 x y) (+.f64 x y))

Compiler

Compiled 315 to 229 computations (27.3% saved)

simplify75.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

728×	`associate-+l+_binary64`
594×	`unswap-sqr_binary64`
430×	`distribute-rgt-in_binary64`
422×	`distribute-lft-in_binary64`
187×	`*-commutative_binary64`

Counts

58 → 54

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	66	914
1	192	766
2	689	729
3	2167	630
4	4973	630
5	4955	630

prune17.0ms (0.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	54	4	58

Error

Counts

58 → 4

Alt Table

Status	Error	Program
▶	9.3b	(+.f64 (/.f64 (-.f64 (pow.f64 y 3) (.f64 4 (.f64 (.f64 x x) y))) (-.f64 y (+.f64 x x))) (.f64 x x))
✓	0.0b	(*.f64 (+.f64 x y) (+.f64 x y))
✓	0.0b	(+.f64 (.f64 y (+.f64 y (+.f64 x x))) (.f64 x x))
✓	0.0b	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x 2) y)) (.f64 y y))

Compiler

Compiled 389 to 164 computations (57.8% saved)

localize12.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 4 (.f64 (*.f64 x x) y))
0.7b	(-.f64 (pow.f64 y 3) (.f64 4 (.f64 (*.f64 x x) y)))
1.3b	(.f64 (.f64 x x) y)
11.7b	(/.f64 (-.f64 (pow.f64 y 3) (.f64 4 (.f64 (*.f64 x x) y))) (-.f64 y (+.f64 x x)))

rewrite101.0ms (4.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

37×	`*-un-lft-identity_binary64`
26×	`add-sqr-sqrt_binary64`
20×	`add-cbrt-cube_binary64`
20×	`add-exp-log_binary64`
18×	`times-frac_binary64`

Counts

4 → 96

Calls

4 calls:

13.0ms	(/.f64 (-.f64 (pow.f64 y 3) (.f64 4 (.f64 (*.f64 x x) y))) (-.f64 y (+.f64 x x)))
9.0ms	(-.f64 (pow.f64 y 3) (.f64 4 (.f64 (*.f64 x x) y)))
6.0ms	(.f64 4 (.f64 (*.f64 x x) y))
4.0ms	(.f64 (.f64 x x) y)

Compiler

Compiled 2675 to 1037 computations (61.2% saved)

series117.0ms (5.4%)

Error

Counts

4 → 36

Calls

4 calls:

58.0ms	(-.f64 (pow.f64 y 3) (.f64 4 (.f64 (*.f64 x x) y)))
29.0ms	(/.f64 (-.f64 (pow.f64 y 3) (.f64 4 (.f64 (*.f64 x x) y))) (-.f64 y (+.f64 x x)))
15.0ms	(.f64 4 (.f64 (*.f64 x x) y))
12.0ms	(.f64 (.f64 x x) y)

Compiler

Compiled 1252 to 801 computations (36% saved)

simplify142.0ms (6.6%)

Algorithm

1×	egg-herbie

Rules

473×	`associate-/l*_binary64`
237×	`times-frac_binary64`
211×	`cancel-sign-sub-inv_binary64`
207×	`distribute-rgt-in_binary64`
201×	`distribute-rgt-neg-in_binary64`

Counts

132 → 113

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	157	2926
1	390	2737
2	1482	2716
3	4663	2716
4	4942	2716

prune50.0ms (2.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	113	4	117

Error

Counts

117 → 4

Alt Table

Status	Error	Program
	9.3b	(+.f64 (/.f64 (-.f64 (pow.f64 y 3) (.f64 4 (.f64 (.f64 x x) y))) (-.f64 y (+.f64 x x))) (.f64 x x))
	0.0b	(*.f64 (+.f64 x y) (+.f64 x y))
	0.0b	(+.f64 (.f64 y (+.f64 y (+.f64 x x))) (.f64 x x))
	0.0b	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x 2) y)) (.f64 y y))

Compiler

Compiled 2015 to 802 computations (60.2% saved)

regimes124.0ms (5.7%)

Accuracy

Total 0.0b remaining (72.1%)

Threshold costs 0.0b (72.1%)

Compiler

Compiled 2009 to 1117 computations (44.4% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	14	19
2	14	19

end16.0ms (0.7%)

Compiler: Compiled 45 to 27 computations (40% saved)

sample861.0ms (39.8%)

Algorithm

1×

intervals

Results

357.0ms	8000×	body	128	valid
8.0ms	201×	body	128	invalid

Compiler

Compiled 93 to 54 computations (41.9% saved)

Details

analyze171.0ms (7.9%)

sample24.0ms (1.1%)

simplify9.0ms (0.4%)

prune7.0ms (0.3%)

localize7.0ms (0.3%)

rewrite15.0ms (0.7%)

series29.0ms (1.3%)

simplify100.0ms (4.6%)

prune34.0ms (1.6%)

localize6.0ms (0.3%)

rewrite36.0ms (1.7%)

series53.0ms (2.4%)

simplify84.0ms (3.9%)

prune18.0ms (0.8%)

localize3.0ms (0.1%)

rewrite25.0ms (1.2%)

series22.0ms (1%)

simplify75.0ms (3.5%)

prune17.0ms (0.8%)

localize12.0ms (0.6%)

rewrite101.0ms (4.7%)

series117.0ms (5.4%)

simplify142.0ms (6.6%)

prune50.0ms (2.3%)

regimes124.0ms (5.7%)

simplify4.0ms (0.2%)

end16.0ms (0.7%)

sample861.0ms (39.8%)

Profiling