Details

analyze58.0ms (2.9%)

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
25%	74.9%	0.1%	4
43.7%	56.2%	0.1%	5
65.6%	34.3%	0.1%	6
76.5%	23.4%	0.1%	7
82%	18%	0.1%	8
87.8%	12.1%	0.1%	9
90.7%	9.2%	0.1%	10
93.8%	6.1%	0.1%	11
95.3%	4.6%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample13.0ms (0.7%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

128

valid

Compiler

Compiled 17 to 11 computations (35.3% saved)

simplify7.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	6	7
2	6	7

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

0.0b

Counts

2 → 1

Alt Table

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

Compiler

Compiled 21 to 12 computations (42.9% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite34.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

18×	`*-un-lft-identity_binary64`
12×	`times-frac_binary64`
10×	`add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64`
4×	`associate-/r*_binary64`

Counts

1 → 33

Calls

1 calls:

5.0ms

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

Compiler

Compiled 358 to 101 computations (71.8% saved)

series28.0ms (1.4%)

Error

0.0b

Counts

1 → 15

Calls

1 calls:

23.0ms

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

Compiler

Compiled 296 to 210 computations (29.1% saved)

simplify107.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

563×	`times-frac_binary64`
391×	`unswap-sqr_binary64`
385×	`associate-/l*_binary64`
285×	`associate-l_binary64`
278×	`associate-/l/_binary64`

Counts

48 → 36

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	70	599
1	149	569
2	329	560
3	862	557
4	3463	557
5	4801	557
6	4962	557
7	4919	557

prune23.0ms (1.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	33	3	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	4	37

Error

Counts

37 → 4

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 x (+.f64 y x))
▶	1.2b	(.f64 (/.f64 1 (.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))) (/.f64 x (cbrt.f64 (+.f64 x y))))
	1.3b	(/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (+.f64 x y) (cbrt.f64 x)))
	11.7b	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))

Compiler

Compiled 403 to 141 computations (65% saved)

localize12.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))
0.6b	(cbrt.f64 (+.f64 x y))
0.6b	(cbrt.f64 (+.f64 x y))
0.6b	(cbrt.f64 (+.f64 x y))

rewrite79.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

36×	`cbrt-prod_binary64`
35×	`*-un-lft-identity_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`

Counts

4 → 95

Calls

4 calls:

11.0ms	(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))
3.0ms	(cbrt.f64 (+.f64 x y))
3.0ms	(cbrt.f64 (+.f64 x y))
3.0ms	(cbrt.f64 (+.f64 x y))

Compiler

Compiled 2157 to 505 computations (76.6% saved)

series138.0ms (6.9%)

Error

Counts

4 → 42

Calls

4 calls:

33.0ms	(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))
31.0ms	(cbrt.f64 (+.f64 x y))
29.0ms	(cbrt.f64 (+.f64 x y))
27.0ms	(cbrt.f64 (+.f64 x y))

Compiler

Compiled 2544 to 1724 computations (32.2% saved)

simplify185.0ms (9.2%)

Algorithm

1×	egg-herbie

Rules

352×	`difference-of-squares_binary64`
296×	`associate-l_binary64`
287×	`unswap-sqr_binary64`
236×	`associate-r_binary64`
201×	`sqr-pow_binary64`

Counts

137 → 120

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	111	1861
1	231	1861
2	514	1788
3	1509	1768
4	3210	1560
5	4306	1560
6	4765	1560
7	4959	1560
8	4974	1560

prune43.0ms (2.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	120	4	124

Error

Counts

124 → 4

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 x (+.f64 y x))
✓	1.2b	(.f64 (/.f64 1 (.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))) (/.f64 x (cbrt.f64 (+.f64 x y))))
▶	1.3b	(/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (+.f64 x y) (cbrt.f64 x)))
	11.7b	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))

Compiler

Compiled 1389 to 466 computations (66.5% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.7b	(cbrt.f64 x)
0.7b	(cbrt.f64 x)
0.7b	(cbrt.f64 x)

rewrite52.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1149 to 233 computations (79.7% saved)

series63.0ms (3.1%)

Error

Counts

4 → 12

Calls

4 calls:

15.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
14.0ms	(cbrt.f64 x)
13.0ms	(cbrt.f64 x)
13.0ms	(cbrt.f64 x)

Compiler

Compiled 518 to 322 computations (37.8% saved)

simplify97.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

735×	`log-prod_binary64`
577×	`distribute-rgt-in_binary64`
538×	`distribute-lft-in_binary64`
525×	`unswap-sqr_binary64`
287×	`associate-l_binary64`

Counts

85 → 64

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	54	624
1	94	576
2	292	556
3	763	542
4	1759	418
5	4280	418
6	4543	418
7	4810	418

prune19.0ms (0.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	64	4	68

Error

Counts

68 → 4

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 x (+.f64 y x))
✓	1.2b	(.f64 (/.f64 1 (.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))) (/.f64 x (cbrt.f64 (+.f64 x y))))
✓	1.3b	(/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (+.f64 x y) (cbrt.f64 x)))
▶	11.7b	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))

Compiler

Compiled 502 to 185 computations (63.1% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 x (+.f64 x y))
0.2b	(pow.f64 (/.f64 x (+.f64 x y)) 3)
11.7b	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))

rewrite104.0ms (5.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

78×	`*-un-lft-identity_binary64`
60×	`times-frac_binary64`
46×	`add-sqr-sqrt_binary64`
46×	`add-cube-cbrt_binary64`
42×	`cbrt-prod_binary64`

Counts

3 → 141

Calls

3 calls:

10.0ms	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))
7.0ms	(pow.f64 (/.f64 x (+.f64 x y)) 3)
5.0ms	(/.f64 x (+.f64 x y))

Compiler

Compiled 1533 to 614 computations (59.9% saved)

series104.0ms (5.2%)

Error

Counts

3 → 45

Calls

3 calls:

33.0ms	(pow.f64 (/.f64 x (+.f64 x y)) 3)
28.0ms	(/.f64 x (+.f64 x y))
27.0ms	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))

Compiler

Compiled 1151 to 885 computations (23.1% saved)

simplify128.0ms (6.4%)

Algorithm

1×	egg-herbie

Rules

700×	`associate-/l*_binary64`
438×	`log-div_binary64`
373×	`unswap-sqr_binary64`
297×	`associate-/l/_binary64`
223×	`associate-/r/_binary64`

Counts

186 → 132

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	178	2842
1	451	2629
2	1346	2565
3	4565	2565
4	5182	2565

prune44.0ms (2.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	132	4	136

Error

Counts

136 → 4

Alt Table

Status	Error	Program
	0.0b	(/.f64 x (+.f64 y x))
	1.2b	(.f64 (/.f64 1 (.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))) (/.f64 x (cbrt.f64 (+.f64 x y))))
	1.3b	(/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (+.f64 x y) (cbrt.f64 x)))
	11.7b	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))

Compiler

Compiled 714 to 294 computations (58.8% saved)

regimes200.0ms (10%)

Accuracy

Total 0.0b remaining (45.4%)

Threshold costs 0.0b (45.4%)

Compiler

Compiled 2198 to 1333 computations (39.4% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	6	7
2	6	7

end0.0ms (0%)

Compiler: Compiled 7 to 4 computations (42.9% saved)

sample446.0ms (22.2%)

Algorithm

1×

intervals

Results

153.0ms

8000×

body

128

valid

Compiler

Compiled 68 to 38 computations (44.1% saved)

Details

analyze58.0ms (2.9%)

sample13.0ms (0.7%)

simplify7.0ms (0.4%)

prune2.0ms (0.1%)

localize3.0ms (0.1%)

rewrite34.0ms (1.7%)

series28.0ms (1.4%)

simplify107.0ms (5.3%)

prune23.0ms (1.2%)

localize12.0ms (0.6%)

rewrite79.0ms (3.9%)

series138.0ms (6.9%)

simplify185.0ms (9.2%)

prune43.0ms (2.2%)

localize8.0ms (0.4%)

rewrite52.0ms (2.6%)

series63.0ms (3.1%)

simplify97.0ms (4.8%)

prune19.0ms (0.9%)

localize6.0ms (0.3%)

rewrite104.0ms (5.2%)

series104.0ms (5.2%)

simplify128.0ms (6.4%)

prune44.0ms (2.2%)

regimes200.0ms (10%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample446.0ms (22.2%)

Profiling