Details

analyze108.0ms (3.1%)

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)

sample735.0ms (21.3%)

Results

668.0ms	8256×	body	128	valid
31.0ms	384×	body	128	invalid

Compiler

Compiled 23 to 14 computations (39.1% saved)

simplify6.0ms (0.2%)

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

prune1.0ms (0%)

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

10.7b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	10.7b	(/.f64 x (*.f64 y y))

Compiler

Compiled 21 to 12 computations (42.9% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	10.4b	(/.f64 x (*.f64 y y))

series30.0ms (0.9%)

Counts

1 → 24

Calls

1 calls:

30.0ms

(/.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))

simplify63.0ms (1.8%)

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 (0.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	21	7	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	8	29

Error

0.0b

Counts

29 → 8

Alt Table

Status	Error	Program
	11.3b	(.f64 (.f64 (cbrt.f64 (/.f64 x (.f64 y y))) (cbrt.f64 (/.f64 x (.f64 y y)))) (cbrt.f64 (/.f64 x (*.f64 y y))))
✓	10.7b	(/.f64 x (*.f64 y y))
	38.3b	(/.f64 (sqrt.f64 x) (/.f64 y (/.f64 (sqrt.f64 x) y)))
	11.5b	(.f64 x (/.f64 1 (.f64 y y)))
	0.7b	(/.f64 1 (/.f64 y (/.f64 x y)))
	0.2b	(*.f64 (/.f64 1 y) (/.f64 x y))
	1.0b	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) y) (/.f64 (cbrt.f64 x) y))
▶	0.1b	(/.f64 (/.f64 x y) y)

Compiler

Compiled 438 to 169 computations (61.4% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series26.0ms (0.8%)

Counts

1 → 24

Calls

1 calls:

26.0ms

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

rewrite11.0ms (0.3%)

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)

simplify99.0ms (2.9%)

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

prune77.0ms (2.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	107	5	112
Fresh	5	1	6
Picked	0	1	1
Done	0	1	1
Total	112	8	120

Error

Counts

120 → 8

Alt Table

Status	Error	Program
	1.1b	(.f64 (/.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) 1) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (/.f64 (cbrt.f64 x) y) (cbrt.f64 y)))
▶	0.7b	(/.f64 1 (/.f64 y (/.f64 x y)))
	1.0b	(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (/.f64 x y) (cbrt.f64 y)))
	1.2b	(.f64 (/.f64 (.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 y)))
	11.3b	(*.f64 (/.f64 x 1) (/.f64 (/.f64 1 y) y))
✓	10.7b	(/.f64 x (*.f64 y y))
	27.2b	(/.f64 (sqrt.f64 (/.f64 x y)) (/.f64 y (sqrt.f64 (/.f64 x y))))
✓	0.1b	(/.f64 (/.f64 x y) y)

Compiler

Compiled 1708 to 547 computations (68% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 y (/.f64 x y))
✓	0.7b	(/.f64 1 (/.f64 y (/.f64 x y)))

series38.0ms (1.1%)

Counts

2 → 48

Calls

2 calls:

28.0ms	(/.f64 1 (/.f64 y (/.f64 x y)))
10.0ms	(/.f64 y (/.f64 x y))

rewrite52.0ms (1.5%)

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:

12.0ms	(/.f64 1 (/.f64 y (/.f64 x y)))
4.0ms	(/.f64 y (/.f64 x y))

simplify274.0ms (7.9%)

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

prune236.0ms (6.9%)

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
	11.3b	(*.f64 (/.f64 x 1) (/.f64 (/.f64 1 y) y))
✓	0.7b	(/.f64 1 (/.f64 y (/.f64 x y)))
	3.6b	(.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 1 (.f64 y (cbrt.f64 y)))) (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 y) 2)))
✓	10.7b	(/.f64 x (*.f64 y y))
▶	1.0b	(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (/.f64 x y) (cbrt.f64 y)))
	27.2b	(/.f64 (sqrt.f64 (/.f64 x y)) (/.f64 y (sqrt.f64 (/.f64 x y))))
✓	0.1b	(/.f64 (/.f64 x y) y)

Compiler

Compiled 7209 to 2631 computations (63.5% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (pow.f64 (cbrt.f64 y) 2))
✓	0.3b	(/.f64 (/.f64 x y) (cbrt.f64 y))
✓	0.6b	(pow.f64 (cbrt.f64 y) 2)
✓	0.6b	(cbrt.f64 y)

series622.0ms (18.1%)

Counts

4 → 60

Calls

4 calls:

437.0ms	(/.f64 (/.f64 x y) (cbrt.f64 y))
72.0ms	(cbrt.f64 y)
70.0ms	(/.f64 1 (pow.f64 (cbrt.f64 y) 2))
43.0ms	(pow.f64 (cbrt.f64 y) 2)

rewrite37.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

174×	`times-frac_binary64`
109×	`*-un-lft-identity_binary64`
109×	`add-sqr-sqrt_binary64`
109×	`add-cube-cbrt_binary64`
60×	`cbrt-prod_binary64`

Counts

4 → 222

Calls

4 calls:

6.0ms	(/.f64 (/.f64 x y) (cbrt.f64 y))
5.0ms	(/.f64 1 (pow.f64 (cbrt.f64 y) 2))
2.0ms	(pow.f64 (cbrt.f64 y) 2)
1.0ms	(cbrt.f64 y)

simplify184.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

682×	`associate-/l*_binary64`
494×	`fma-def_binary64`
460×	`associate-/r/_binary64`
391×	`associate-*l/_binary64`
372×	`fma-neg_binary64`

Counts

282 → 339

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	272	4214
1	544	3852
2	1462	3694
3	3506	3605
4	4372	3605
5	4995	3605
6	4816	3605

prune211.0ms (6.1%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	358	0	358
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	358	7	365

Error

Counts

365 → 7

Alt Table

Status	Error	Program
	11.3b	(*.f64 (/.f64 x 1) (/.f64 (/.f64 1 y) y))
✓	0.7b	(/.f64 1 (/.f64 y (/.f64 x y)))
	3.6b	(.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 1 (.f64 y (cbrt.f64 y)))) (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 y) 2)))
✓	10.7b	(/.f64 x (*.f64 y y))
✓	1.0b	(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (/.f64 x y) (cbrt.f64 y)))
	27.2b	(/.f64 (sqrt.f64 (/.f64 x y)) (/.f64 y (sqrt.f64 (/.f64 x y))))
✓	0.1b	(/.f64 (/.f64 x y) y)

Compiler

Compiled 7580 to 3424 computations (54.8% saved)

regimes510.0ms (14.8%)

Accuracy

Total 0.1b remaining (84.6%)

Threshold costs 0.1b (84.6%)

Counts

77 → 1

Compiler

Compiled 5020 to 2814 computations (43.9% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	5	7

end71.0ms (2.1%)

Compiler: Compiled 98 to 59 computations (39.8% saved)

Details

analyze108.0ms (3.1%)

sample735.0ms (21.3%)

simplify6.0ms (0.2%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series30.0ms (0.9%)

rewrite4.0ms (0.1%)

simplify63.0ms (1.8%)

prune25.0ms (0.7%)

localize3.0ms (0.1%)

series26.0ms (0.8%)

rewrite11.0ms (0.3%)

simplify99.0ms (2.9%)

prune77.0ms (2.2%)

localize7.0ms (0.2%)

series38.0ms (1.1%)

rewrite52.0ms (1.5%)

simplify274.0ms (7.9%)

prune236.0ms (6.9%)

localize8.0ms (0.2%)

series622.0ms (18.1%)

rewrite37.0ms (1.1%)

simplify184.0ms (5.3%)

prune211.0ms (6.1%)

regimes510.0ms (14.8%)

simplify2.0ms (0%)

end71.0ms (2.1%)

Profiling