Details

analyze573.0ms (25.6%)

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
18.7%	81.1%	0.1%	7
21.8%	78%	0.1%	8
43.7%	56.2%	0.1%	9
54.6%	39.8%	5.6%	10
58.5%	35.5%	6%	11
67.3%	26.5%	6.2%	12
71.7%	19.1%	9.2%	13
74.1%	16.6%	9.4%	14

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample41.0ms (1.8%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
1.0ms	13×	body	128	invalid

Compiler

Compiled 20 to 14 computations (30% saved)

simplify31.0ms (1.4%)

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

prune3.0ms (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)

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series11.0ms (0.5%)

Counts

1 → 9

Calls

1 calls:

11.0ms

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

rewrite12.0ms (0.5%)

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:

5.0ms

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

simplify130.0ms (5.8%)

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

prune25.0ms (1.1%)

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

Counts

28 → 2

Alt Table

Status	Error	Program
▶	38.0b	(cbrt.f64 (pow.f64 (-.f64 x (*.f64 y z)) 3))
✓	0.0b	(-.f64 x (*.f64 y z))

Compiler

Compiled 331 to 105 computations (68.3% saved)

localize13.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(-.f64 x (*.f64 y z))
✓	0.1b	(pow.f64 (-.f64 x (*.f64 y z)) 3)
✓	35.8b	(cbrt.f64 (pow.f64 (-.f64 x (*.f64 y z)) 3))

series65.0ms (2.9%)

Counts

2 → 72

Calls

2 calls:

44.0ms	(pow.f64 (-.f64 x (*.f64 y z)) 3)
20.0ms	(cbrt.f64 (pow.f64 (-.f64 x (*.f64 y z)) 3))

rewrite15.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
8×	`*-un-lft-identity_binary64`
8×	`add-sqr-sqrt_binary64`
8×	`add-cube-cbrt_binary64`
6×	`cube-prod_binary64`

Counts

2 → 52

Calls

2 calls:

5.0ms	(cbrt.f64 (pow.f64 (-.f64 x (*.f64 y z)) 3))
5.0ms	(pow.f64 (-.f64 x (*.f64 y z)) 3)

simplify169.0ms (7.6%)

Algorithm

1×	egg-herbie

Rules

577×	`cancel-sign-sub-inv_binary64`
503×	`fma-neg_binary64`
326×	`fma-def_binary64`
252×	`unswap-sqr_binary64`
233×	`*-commutative_binary64`

Counts

124 → 83

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	101	2048
1	267	1933
2	849	1840
3	2608	1812
4	4811	1812
5	4952	1812

prune82.0ms (3.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	110	2	112

Error

Counts

112 → 2

Alt Table

Status	Error	Program
✓	38.0b	(cbrt.f64 (pow.f64 (-.f64 x (*.f64 y z)) 3))
✓	0.0b	(-.f64 x (*.f64 y z))

Compiler

Compiled 1662 to 700 computations (57.9% saved)

regimes88.0ms (4%)

Accuracy

Total 0.0b remaining (14.6%)

Threshold costs 0.0b (14.6%)

Counts

6 → 1

Compiler

Compiled 342 to 211 computations (38.3% saved)

simplify5.0ms (0.2%)

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

end12.0ms (0.5%)

Remove: (sort y z)
Compiler: Compiled 24 to 15 computations (37.5% saved)

sample954.0ms (42.7%)

Algorithm

1×

intervals

Results

367.0ms	8000×	body	128	valid
14.0ms	313×	body	128	invalid

Compiler

Compiled 39 to 27 computations (30.8% 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

analyze573.0ms (25.6%)

sample41.0ms (1.8%)

simplify31.0ms (1.4%)

prune3.0ms (0.1%)

localize7.0ms (0.3%)

series11.0ms (0.5%)

rewrite12.0ms (0.5%)

simplify130.0ms (5.8%)

prune25.0ms (1.1%)

localize13.0ms (0.6%)

series65.0ms (2.9%)

rewrite15.0ms (0.7%)

simplify169.0ms (7.6%)

prune82.0ms (3.7%)

regimes88.0ms (4%)

simplify5.0ms (0.2%)

end12.0ms (0.5%)

sample954.0ms (42.7%)

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