Details

analyze146.0ms (3.2%)

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
50%	50%	0.1%	5
50%	50%	0.1%	6
62.4%	34.3%	3.2%	7
62.4%	32.8%	4.8%	8
68.7%	21.1%	10.2%	9
68.7%	19.1%	12.2%	10
71.8%	11.5%	16.7%	11
71.8%	10.2%	18%	12
73.4%	6%	20.6%	13
73.4%	5.3%	21.3%	14

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample795.0ms (17.6%)

Results

734.0ms	8256×	body	128	valid
31.0ms	384×	body	128	invalid

Compiler

Compiled 23 to 14 computations (39.1% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`associate-/r*_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune6.0ms (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

9.7b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	9.7b	(/.f64 x (*.f64 y y))

Compiler

Compiled 21 to 12 computations (42.9% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	9.4b	(/.f64 x (*.f64 y y))

series28.0ms (0.6%)

Counts

1 → 24

Calls

1 calls:

28.0ms

(/.f64 x (*.f64 y y))

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-cbrt-cube_binary64`
6×	`add-exp-log_binary64`
3×	`associate-/l*_binary64`
3×	`*-un-lft-identity_binary64`
3×	`times-frac_binary64`

Counts

1 → 23

Calls

1 calls:

3.0ms

(/.f64 x (*.f64 y y))

simplify64.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

553×	`div-sub_binary64`
385×	`associate-/l*_binary64`
361×	`associate-/l/_binary64`
320×	`*-commutative_binary64`
266×	`fma-def_binary64`

Counts

47 → 28

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	433
1	95	388
2	220	388
3	582	388
4	1890	388
5	2472	388
6	4192	388
7	5127	388

prune25.0ms (0.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	22	6	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	7	29

Error

0.0b

Counts

29 → 7

Alt Table

Status	Error	Program
	1.0b	(/.f64 1 (/.f64 y (/.f64 x y)))
	34.0b	(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y))
	1.0b	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) y) (/.f64 (cbrt.f64 x) y))
	10.2b	(.f64 (.f64 (cbrt.f64 (/.f64 x (.f64 y y))) (cbrt.f64 (/.f64 x (.f64 y y)))) (cbrt.f64 (/.f64 x (*.f64 y y))))
✓	9.7b	(/.f64 x (*.f64 y y))
▶	0.2b	(/.f64 (/.f64 x y) y)
	36.3b	(/.f64 (sqrt.f64 x) (/.f64 y (/.f64 (sqrt.f64 x) y)))

Compiler

Compiled 424 to 155 computations (63.4% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 x y) y)

series27.0ms (0.6%)

Counts

1 → 24

Calls

1 calls:

27.0ms

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

rewrite9.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`times-frac_binary64`
43×	`*-un-lft-identity_binary64`
43×	`add-sqr-sqrt_binary64`
43×	`add-cube-cbrt_binary64`
13×	`associate-/l*_binary64`

Counts

1 → 72

Calls

1 calls:

4.0ms

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

simplify98.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

346×	`distribute-rgt-in_binary64`
343×	`fma-neg_binary64`
329×	`associate-/l/_binary64`
297×	`distribute-lft-in_binary64`
282×	`fma-def_binary64`

Counts

96 → 112

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	140	1474
1	296	1373
2	571	1301
3	1319	1277
4	1643	1272
5	2461	1222
6	4296	1192
7	4860	1192

prune60.0ms (1.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	108	4	112
Fresh	2	3	5
Picked	0	1	1
Done	1	0	1
Total	111	8	119

Error

Counts

119 → 8

Alt Table

Status	Error	Program
	25.2b	(*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (/.f64 x y)) y))
	36.3b	(/.f64 (sqrt.f64 x) (/.f64 y (/.f64 (sqrt.f64 x) y)))
	1.0b	(/.f64 1 (/.f64 y (/.f64 x y)))
▶	0.9b	(.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 x y) y)) (cbrt.f64 (/.f64 (/.f64 x y) y))) (cbrt.f64 (/.f64 (/.f64 x y) y)))
	34.0b	(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y))
	9.8b	(*.f64 (/.f64 x 1) (/.f64 (/.f64 1 y) y))
	3.4b	(.f64 (/.f64 1 (.f64 y (cbrt.f64 y))) (/.f64 x (pow.f64 (cbrt.f64 y) 2)))
✓	0.2b	(/.f64 (/.f64 x y) y)

Compiler

Compiled 1695 to 533 computations (68.6% saved)

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f64 (/.f64 x y) y)
✓	0.2b	(.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 x y) y)) (cbrt.f64 (/.f64 (/.f64 x y) y))) (cbrt.f64 (/.f64 (/.f64 x y) y)))
✓	0.4b	(*.f64 (cbrt.f64 (/.f64 (/.f64 x y) y)) (cbrt.f64 (/.f64 (/.f64 x y) y)))
✓	18.6b	(cbrt.f64 (/.f64 (/.f64 x y) y))

series1.3s (28.4%)

Counts

3 → 72

Calls

3 calls:

675.0ms

(*.f64 (cbrt.f64 (/.f64 (/.f64 x y) y)) (cbrt.f64 (/.f64 (/.f64 x y) y)))

566.0ms

(cbrt.f64 (/.f64 (/.f64 x y) y))

44.0ms

(*.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 x y) y)) (cbrt.f64 (/.f64 (/.f64 x y) y))) (cbrt.f64 (/.f64 (/.f64 x y) y)))

rewrite133.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Rules

423×	`times-frac_binary64`
285×	`cbrt-prod_binary64`
281×	`add-sqr-sqrt_binary64`
218×	`*-un-lft-identity_binary64`
218×	`add-cube-cbrt_binary64`

Counts

3 → 318

Calls

3 calls:

43.0ms

(*.f64 (cbrt.f64 (/.f64 (/.f64 x y) y)) (cbrt.f64 (/.f64 (/.f64 x y) y)))

24.0ms

(*.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 x y) y)) (cbrt.f64 (/.f64 (/.f64 x y) y))) (cbrt.f64 (/.f64 (/.f64 x y) y)))

3.0ms

(cbrt.f64 (/.f64 (/.f64 x y) y))

simplify344.0ms (7.6%)

Algorithm

1×	egg-herbie

Rules

536×	`times-frac_binary64`
417×	`associate-l_binary64`
356×	`associate-r_binary64`
291×	`associate-/l/_binary64`
289×	`associate-*l/_binary64`

Counts

390 → 539

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	496	10830
1	835	9909
2	1969	9165
3	4444	8694
4	4983	8694
5	4971	8694

prune563.0ms (12.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	1061	0	1061
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	1061	8	1069

Error

Counts

1069 → 8

Alt Table

Status	Error	Program
	25.2b	(*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (/.f64 x y)) y))
	36.3b	(/.f64 (sqrt.f64 x) (/.f64 y (/.f64 (sqrt.f64 x) y)))
▶	1.0b	(/.f64 1 (/.f64 y (/.f64 x y)))
✓	0.9b	(.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 x y) y)) (cbrt.f64 (/.f64 (/.f64 x y) y))) (cbrt.f64 (/.f64 (/.f64 x y) y)))
	34.0b	(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y))
	9.8b	(*.f64 (/.f64 x 1) (/.f64 (/.f64 1 y) y))
	3.4b	(.f64 (/.f64 1 (.f64 y (cbrt.f64 y))) (/.f64 x (pow.f64 (cbrt.f64 y) 2)))
✓	0.2b	(/.f64 (/.f64 x y) y)

Compiler

Compiled 31678 to 5792 computations (81.7% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 y (/.f64 x y))
✓	0.9b	(/.f64 1 (/.f64 y (/.f64 x y)))

series40.0ms (0.9%)

Counts

2 → 48

Calls

2 calls:

29.0ms	(/.f64 1 (/.f64 y (/.f64 x y)))
10.0ms	(/.f64 y (/.f64 x y))

rewrite52.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

471×	`times-frac_binary64`
229×	`*-un-lft-identity_binary64`
229×	`add-sqr-sqrt_binary64`
229×	`add-cube-cbrt_binary64`
57×	`associate-/r*_binary64`

Counts

2 → 278

Calls

2 calls:

11.0ms	(/.f64 1 (/.f64 y (/.f64 x y)))
4.0ms	(/.f64 y (/.f64 x y))

simplify280.0ms (6.2%)

Algorithm

1×	egg-herbie

Rules

768×	`fma-def_binary64`
596×	`fma-neg_binary64`
301×	`*-commutative_binary64`
295×	`associate-/r/_binary64`
270×	`div-sub_binary64`

Counts

326 → 407

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	245	6405
1	478	5400
2	1473	4989
3	1721	4941
4	2295	4926
5	3601	4718
6	4197	4616
7	4792	4616
8	4877	4616

prune240.0ms (5.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	406	1	407
Fresh	2	3	5
Picked	0	1	1
Done	0	2	2
Total	408	7	415

Error

Counts

415 → 7

Alt Table

Status	Error	Program
✓	0.9b	(.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 x y) y)) (cbrt.f64 (/.f64 (/.f64 x y) y))) (cbrt.f64 (/.f64 (/.f64 x y) y)))
	1.0b	(/.f64 1 (*.f64 y (/.f64 y x)))
✓	1.0b	(/.f64 1 (/.f64 y (/.f64 x y)))
	34.0b	(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y))
	9.8b	(*.f64 (/.f64 x 1) (/.f64 (/.f64 1 y) y))
	3.4b	(.f64 (/.f64 1 (.f64 y (cbrt.f64 y))) (/.f64 x (pow.f64 (cbrt.f64 y) 2)))
✓	0.2b	(/.f64 (/.f64 x y) y)

Compiler

Compiled 7148 to 2589 computations (63.8% saved)

regimes226.0ms (5%)

Accuracy

Total 0.2b remaining (88.4%)

Threshold costs 0.2b (88.4%)

Counts

57 → 1

Compiler

Compiled 3186 to 1887 computations (40.8% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	5	7

end72.0ms (1.6%)

Compiler: Compiled 98 to 54 computations (44.9% saved)

Details

analyze146.0ms (3.2%)

sample795.0ms (17.6%)

simplify6.0ms (0.1%)

prune6.0ms (0.1%)

localize3.0ms (0.1%)

series28.0ms (0.6%)

rewrite4.0ms (0.1%)

simplify64.0ms (1.4%)

prune25.0ms (0.6%)

localize3.0ms (0.1%)

series27.0ms (0.6%)

rewrite9.0ms (0.2%)

simplify98.0ms (2.2%)

prune60.0ms (1.3%)

localize6.0ms (0.1%)

series1.3s (28.4%)

rewrite133.0ms (2.9%)

simplify344.0ms (7.6%)

prune563.0ms (12.4%)

localize8.0ms (0.2%)

series40.0ms (0.9%)

rewrite52.0ms (1.1%)

simplify280.0ms (6.2%)

prune240.0ms (5.3%)

regimes226.0ms (5%)

simplify2.0ms (0%)

end72.0ms (1.6%)

Profiling