Details

analyze381.0ms (18.9%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
37.4%	62.4%	0.1%	9
46.8%	47.6%	5.6%	10
54.6%	39.4%	6%	11
62.8%	31%	6.2%	12
66.9%	23.9%	9.2%	13
71.7%	19%	9.4%	14

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample857.0ms (42.4%)

Symmetry

(sort y z)

Results

780.0ms	8256×	body	128	valid
26.0ms	323×	body	128	invalid

Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify13.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

100×	`fma-def_binary64`
56×	`fma-neg_binary64`
28×	`cancel-sign-sub-inv_binary64`
18×	`sub-neg_binary64`
13×	`distribute-rgt-neg-in_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	12	7
2	22	7
3	39	7
4	53	7
5	83	7
6	115	7
7	142	7
8	178	7
9	186	7
10	206	7
11	212	7
12	189	7

prune1.0ms (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 → 1

Alt Table

Status	Error	Program
▶	0.0b	(-.f64 x (*.f64 y z))

Compiler

Compiled 24 to 15 computations (37.5% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (*.f64 y z))

series5.0ms (0.2%)

Counts

1 → 9

Calls

1 calls:

5.0ms

(-.f64 x (*.f64 y z))

rewrite3.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
3×	`fma-neg_binary64`
3×	`*-un-lft-identity_binary64`
3×	`add-sqr-sqrt_binary64`
3×	`prod-diff_binary64`

Counts

1 → 20

Calls

1 calls:

2.0ms

(-.f64 x (*.f64 y z))

simplify87.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

520×	`fma-def_binary64`
468×	`unsub-neg_binary64`
418×	`sub-neg_binary64`
312×	`times-frac_binary64`
248×	`neg-mul-1_binary64`

Counts

29 → 27

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	321
1	106	255
2	271	237
3	937	237
4	2175	237
5	3396	237
6	4633	237
7	4756	237
8	4854	237

prune12.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	26	1	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	26	2	28

Error

0.0b

Counts

28 → 2

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 x (*.f64 y z))
▶	1.3b	(.f64 (.f64 (cbrt.f64 (-.f64 x (.f64 y z))) (cbrt.f64 (-.f64 x (.f64 y z)))) (cbrt.f64 (-.f64 x (*.f64 y z))))

Compiler

Compiled 355 to 105 computations (70.4% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 x (*.f64 y z))
✓	0.3b	(.f64 (.f64 (cbrt.f64 (-.f64 x (.f64 y z))) (cbrt.f64 (-.f64 x (.f64 y z)))) (cbrt.f64 (-.f64 x (*.f64 y z))))
✓	0.5b	(.f64 (cbrt.f64 (-.f64 x (.f64 y z))) (cbrt.f64 (-.f64 x (*.f64 y z))))
✓	0.5b	(cbrt.f64 (-.f64 x (*.f64 y z)))

series119.0ms (5.9%)

Counts

3 → 108

Calls

3 calls:

63.0ms

(*.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) (cbrt.f64 (-.f64 x (*.f64 y z))))

40.0ms

(cbrt.f64 (-.f64 x (*.f64 y z)))

15.0ms

(*.f64 (*.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) (cbrt.f64 (-.f64 x (*.f64 y z)))) (cbrt.f64 (-.f64 x (*.f64 y z))))

rewrite37.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

68×	`cbrt-div_binary64`
34×	`flip--_binary64`
34×	`flip3--_binary64`
32×	`frac-times_binary64`
29×	`pow1_binary64`

Counts

3 → 129

Calls

3 calls:

12.0ms

(*.f64 (*.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) (cbrt.f64 (-.f64 x (*.f64 y z)))) (cbrt.f64 (-.f64 x (*.f64 y z))))

7.0ms

(*.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) (cbrt.f64 (-.f64 x (*.f64 y z))))

2.0ms

(cbrt.f64 (-.f64 x (*.f64 y z)))

simplify126.0ms (6.3%)

Algorithm

1×	egg-herbie

Rules

492×	`associate-r_binary64`
408×	`associate-l_binary64`
383×	`times-frac_binary64`
336×	`associate-/r*_binary64`
197×	`fma-def_binary64`

Counts

237 → 272

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	460	7974
1	1336	7444
2	5304	7444

prune257.0ms (12.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	497	0	497
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	497	2	499

Error

0.0b

Counts

499 → 2

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 x (*.f64 y z))
✓	1.3b	(.f64 (.f64 (cbrt.f64 (-.f64 x (.f64 y z))) (cbrt.f64 (-.f64 x (.f64 y z)))) (cbrt.f64 (-.f64 x (*.f64 y z))))

Compiler

Compiled 19751 to 7044 computations (64.3% saved)

regimes67.0ms (3.3%)

Accuracy

Total 0.0b remaining (22.9%)

Threshold costs 0.0b (22.9%)

Counts

12 → 1

Compiler

Compiled 932 to 551 computations (40.9% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
4×	`*-commutative_binary64`
4×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	12	7
2	22	7
3	28	7
4	32	7
5	33	7
6	33	7

end40.0ms (2%)

Remove: (sort y z)
Compiler: Compiled 63 to 33 computations (47.6% saved)

Iter	Nodes	Cost
0	6	7
1	12	7
2	22	7
3	39	7
4	53	7
5	83	7
6	115	7
7	142	7
8	178	7
9	186	7
10	206	7
11	212	7
12	189	7

Iter	Nodes	Cost
0	6	7
1	12	7
2	22	7
3	39	7
4	53	7
5	83	7
6	115	7
7	142	7
8	178	7
9	186	7
10	206	7
11	212	7
12	189	7

Details

analyze381.0ms (18.9%)

sample857.0ms (42.4%)

simplify13.0ms (0.7%)

prune1.0ms (0.1%)

localize3.0ms (0.2%)

series5.0ms (0.2%)

rewrite3.0ms (0.2%)

simplify87.0ms (4.3%)

prune12.0ms (0.6%)

localize8.0ms (0.4%)

series119.0ms (5.9%)

rewrite37.0ms (1.8%)

simplify126.0ms (6.3%)

prune257.0ms (12.7%)

regimes67.0ms (3.3%)

simplify2.0ms (0.1%)

end40.0ms (2%)

Profiling

Iter	Nodes	Cost
0	6	7
1	12	7
2	22	7
3	39	7
4	53	7
5	83	7
6	115	7
7	142	7
8	178	7
9	186	7
10	206	7
11	212	7
12	189	7