Details

analyze293.0ms (15.3%)

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)

sample59.0ms (3.1%)

Algorithm

1×

intervals

Symmetry

(sort y z)

Results

7.0ms	256×	body	128	valid
0.0ms	7×	body	128	invalid

Compiler

Compiled 20 to 14 computations (30% 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))

series8.0ms (0.4%)

Counts

1 → 9

Calls

1 calls:

8.0ms

(-.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))

simplify89.0ms (4.7%)

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

prune19.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	25	2	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	3	28

Error

Counts

28 → 3

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 x (*.f64 y z))
	32.0b	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y z) (.f64 y z))) (+.f64 x (*.f64 y z)))
▶	0.9b	(fma.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x) (neg.f64 (.f64 y z)))

Compiler

Compiled 379 to 123 computations (67.5% saved)

localize7.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x) (neg.f64 (.f64 y z)))
✓	0.6b	(cbrt.f64 x)
✓	0.6b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))

series365.0ms (19.1%)

Counts

3 → 60

Calls

3 calls:

292.0ms	(fma.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x) (neg.f64 (.f64 y z)))
42.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
31.0ms	(cbrt.f64 x)

rewrite8.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64`
19×	`cbrt-prod_binary64`
12×	`*-un-lft-identity_binary64`
12×	`add-cube-cbrt_binary64`
10×	`pow1_binary64`

Counts

3 → 65

Calls

3 calls:

4.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
0.0ms	(fma.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x) (neg.f64 (.f64 y z)))

simplify100.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

710×	`log-prod_binary64`
557×	`unswap-sqr_binary64`
387×	`exp-prod_binary64`
326×	`associate-l_binary64`
305×	`*-commutative_binary64`

Counts

125 → 96

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	74	945
1	125	854
2	353	816
3	1034	802
4	2774	740
5	4075	740
6	4922	740
7	4943	740

prune54.0ms (2.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	132	3	135

Error

Counts

135 → 3

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 x (*.f64 y z))
▶	32.0b	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y z) (.f64 y z))) (+.f64 x (*.f64 y z)))
✓	0.9b	(fma.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x) (neg.f64 (.f64 y z)))

Compiler

Compiled 2125 to 483 computations (77.3% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (*.f64 y z))
✓	0.2b	(.f64 (.f64 y z) (*.f64 y z))
✓	2.7b	(-.f64 (.f64 x x) (.f64 (.f64 y z) (.f64 y z)))
✓	30.2b	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y z) (.f64 y z))) (+.f64 x (*.f64 y z)))

series66.0ms (3.5%)

Counts

4 → 132

Calls

4 calls:

26.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y z) (.f64 y z))) (+.f64 x (*.f64 y z)))
24.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y z) (.f64 y z)))
11.0ms	(.f64 (.f64 y z) (*.f64 y z))
5.0ms	(+.f64 x (*.f64 y z))

rewrite25.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`pow1_binary64`
18×	`add-cbrt-cube_binary64`
18×	`add-exp-log_binary64`
17×	`pow-prod-down_binary64`
14×	`*-un-lft-identity_binary64`

Counts

4 → 107

Calls

4 calls:

7.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y z) (.f64 y z))) (+.f64 x (*.f64 y z)))
5.0ms	(.f64 (.f64 y z) (*.f64 y z))
3.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y z) (.f64 y z)))
2.0ms	(+.f64 x (*.f64 y z))

simplify104.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

543×	`fma-def_binary64`
348×	`associate-/l*_binary64`
231×	`cancel-sign-sub-inv_binary64`
221×	`distribute-rgt-in_binary64`
210×	`fma-neg_binary64`

Counts

239 → 171

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	145	3091
1	376	2896
2	1404	2715
3	4451	2508
4	4923	2508

prune65.0ms (3.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	171	0	171
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	171	3	174

Error

Counts

174 → 3

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 x (*.f64 y z))
✓	32.0b	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y z) (.f64 y z))) (+.f64 x (*.f64 y z)))
✓	0.9b	(fma.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x) (neg.f64 (.f64 y z)))

Compiler

Compiled 4150 to 820 computations (80.2% saved)

regimes79.0ms (4.2%)

Accuracy

Total 0.0b remaining (13.6%)

Threshold costs 0.0b (13.6%)

Counts

15 → 1

Compiler

Compiled 1247 to 696 computations (44.2% saved)

simplify3.0ms (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

end6.0ms (0.3%)

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

sample530.0ms (27.8%)

Algorithm

1×

intervals

Results

219.0ms	8000×	body	128	valid
7.0ms	295×	body	128	invalid

Compiler

Compiled 63 to 36 computations (42.9% 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

analyze293.0ms (15.3%)

sample59.0ms (3.1%)

simplify13.0ms (0.7%)

prune1.0ms (0.1%)

localize3.0ms (0.2%)

series8.0ms (0.4%)

rewrite3.0ms (0.2%)

simplify89.0ms (4.7%)

prune19.0ms (1%)

localize7.0ms (0.4%)

series365.0ms (19.1%)

rewrite8.0ms (0.4%)

simplify100.0ms (5.3%)

prune54.0ms (2.8%)

localize8.0ms (0.4%)

series66.0ms (3.5%)

rewrite25.0ms (1.3%)

simplify104.0ms (5.4%)

prune65.0ms (3.4%)

regimes79.0ms (4.2%)

simplify3.0ms (0.1%)

end6.0ms (0.3%)

sample530.0ms (27.8%)

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