Details

analyze727.0ms (22.6%)

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
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
34.3%	65.5%	0.1%	9
39%	60.8%	0.1%	10
41.3%	58.5%	0.1%	11
52.7%	47.2%	0.1%	12
54%	45.7%	0.2%	13
55.3%	43.8%	0.9%	14

Compiler

Compiled 19 to 10 computations (47.4% saved)

sample1.9s (58.6%)

Results

738.0ms	6067×	body	128	valid
324.0ms	853×	body	1024	valid
205.0ms	498×	body	2048	valid
141.0ms	559×	body	512	valid
134.0ms	1292×	body	128	invalid
90.0ms	295×	body	512	invalid
59.0ms	191×	body	1024	invalid
59.0ms	279×	body	256	valid
36.0ms	215×	body	256	invalid

Compiler

Compiled 56 to 29 computations (48.2% saved)

simplify181.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

1285×	`distribute-lft-out_binary64`
1036×	`distribute-lft-out--_binary64`
857×	`unsub-neg_binary64`
599×	`*-commutative_binary64`
502×	`sub-neg_binary64`

Counts

1 → 2

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	29	16
2	82	13
3	222	7
4	470	7
5	1353	7
6	1688	7
7	1658	7
8	2122	7
9	2086	7
10	2176	7
11	2328	7
12	3062	7
13	3212	7
14	3454	7
15	3590	7
16	3640	7
17	3640	7
18	3690	7
19	3740	7
20	6086	7

prune5.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

0.0b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.0b	(*.f64 y (-.f64 x z))
	19.6b	(-.f64 (-.f64 (+.f64 (.f64 x y) (.f64 y y)) (.f64 y z)) (.f64 y y))

Compiler

Compiled 75 to 39 computations (48% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series7.0ms (0.2%)

Counts

1 → 36

Calls

1 calls:

7.0ms

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

rewrite41.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

672×	`log1p-expm1-u_binary64`
672×	`expm1-log1p-u_binary64`
359×	`prod-diff_binary64`
124×	`log1p-udef_binary64`
68×	`add-sqr-sqrt_binary64`

Counts

1 → 22

Calls

1 calls:

40.0ms

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	129	7
2	1676	7
3	5023	7

simplify28.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

172×	`fma-def_binary64`
126×	`fma-neg_binary64`
43×	`cancel-sign-sub-inv_binary64`
32×	`distribute-rgt-in_binary64`
27×	`sub-neg_binary64`

Counts

58 → 28

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	240
1	25	240
2	37	240
3	54	240
4	84	240
5	133	240
6	206	240
7	279	240
8	311	240
9	331	240
10	343	240
11	312	240

prune16.0ms (0.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	26	2	28
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	28	2	30

Error

Counts

30 → 2

Alt Table

Status	Error	Program
▶	0.0b	(-.f64 (.f64 y x) (.f64 y z))
	21.9b	(expm1.f64 (log1p.f64 (*.f64 y (-.f64 x z))))

Compiler

Compiled 276 to 117 computations (57.6% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series8.0ms (0.2%)

Counts

1 → 18

Calls

1 calls:

8.0ms

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

rewrite52.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

836×	`log1p-expm1-u_binary64`
836×	`expm1-log1p-u_binary64`
83×	`add-sqr-sqrt_binary64`
77×	`add-log-exp_binary64`
76×	`add-cube-cbrt_binary64`

Counts

1 → 55

Calls

1 calls:

50.0ms

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	158	7
2	2105	7
3	5081	7

simplify21.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

143×	`fma-def_binary64`
90×	`fma-neg_binary64`
33×	`unsub-neg_binary64`
30×	`cancel-sign-sub-inv_binary64`
28×	`distribute-rgt-in_binary64`

Counts

73 → 60

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	114
1	28	114
2	61	114
3	109	114
4	163	114
5	261	114
6	320	114
7	346	114
8	348	114
9	317	114

prune25.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	60	2	62

Error

Counts

62 → 2

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 (.f64 y x) (.f64 y z))
▶	21.9b	(expm1.f64 (log1p.f64 (*.f64 y (-.f64 x z))))

Compiler

Compiled 887 to 251 computations (71.7% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(*.f64 y (-.f64 x z))
✓	1.4b	(expm1.f64 (log1p.f64 (*.f64 y (-.f64 x z))))

series8.0ms (0.2%)

Counts

1 → 36

Calls

1 calls:

8.0ms

(expm1.f64 (log1p.f64 (*.f64 y (-.f64 x z))))

rewrite45.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

746×	`expm1-log1p-u_binary64`
745×	`log1p-expm1-u_binary64`
554×	`prod-diff_binary64`
76×	`add-sqr-sqrt_binary64`
70×	`add-log-exp_binary64`

Counts

1 → 38

Calls

1 calls:

45.0ms

(expm1.f64 (log1p.f64 (*.f64 y (-.f64 x z))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	148	7
2	1866	7
3	5606	7

simplify31.0ms (1%)

Algorithm

1×	egg-herbie

Rules

172×	`fma-def_binary64`
126×	`fma-neg_binary64`
43×	`cancel-sign-sub-inv_binary64`
32×	`distribute-rgt-in_binary64`
27×	`sub-neg_binary64`

Counts

74 → 43

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	240
1	25	240
2	37	240
3	54	240
4	84	240
5	133	240
6	206	240
7	279	240
8	311	240
9	331	240
10	343	240
11	312	240

prune29.0ms (0.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	71	2	73

Error

Counts

73 → 2

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 (.f64 y x) (.f64 y z))
✓	21.9b	(expm1.f64 (log1p.f64 (*.f64 y (-.f64 x z))))

Compiler

Compiled 758 to 284 computations (62.5% saved)

regimes56.0ms (1.7%)

Accuracy

Total 0.0b remaining (46.4%)

Threshold costs 0.0b (46.4%)

Counts

13 → 1

Compiler

Compiled 532 to 352 computations (33.8% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-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	7	10
1	14	10
2	24	10
3	30	10
4	34	10
5	35	10
6	35	10

end35.0ms (1.1%)

Compiler: Compiled 40 to 25 computations (37.5% saved)

Iter	Nodes	Cost
0	11	240
1	25	240
2	37	240
3	54	240
4	84	240
5	133	240
6	206	240
7	279	240
8	311	240
9	331	240
10	343	240
11	312	240

Iter	Nodes	Cost
0	13	114
1	28	114
2	61	114
3	109	114
4	163	114
5	261	114
6	320	114
7	346	114
8	348	114
9	317	114

Iter	Nodes	Cost
0	11	240
1	25	240
2	37	240
3	54	240
4	84	240
5	133	240
6	206	240
7	279	240
8	311	240
9	331	240
10	343	240
11	312	240

Iter	Nodes	Cost
0	11	240
1	25	240
2	37	240
3	54	240
4	84	240
5	133	240
6	206	240
7	279	240
8	311	240
9	331	240
10	343	240
11	312	240

Iter	Nodes	Cost
0	13	114
1	28	114
2	61	114
3	109	114
4	163	114
5	261	114
6	320	114
7	346	114
8	348	114
9	317	114

Iter	Nodes	Cost
0	11	240
1	25	240
2	37	240
3	54	240
4	84	240
5	133	240
6	206	240
7	279	240
8	311	240
9	331	240
10	343	240
11	312	240

Details

analyze727.0ms (22.6%)

sample1.9s (58.6%)

simplify181.0ms (5.6%)

prune5.0ms (0.1%)

localize4.0ms (0.1%)

series7.0ms (0.2%)

rewrite41.0ms (1.3%)

simplify28.0ms (0.9%)

prune16.0ms (0.5%)

localize4.0ms (0.1%)

series8.0ms (0.2%)

rewrite52.0ms (1.6%)

simplify21.0ms (0.7%)

prune25.0ms (0.8%)

localize5.0ms (0.2%)

series8.0ms (0.2%)

rewrite45.0ms (1.4%)

simplify31.0ms (1%)

prune29.0ms (0.9%)

regimes56.0ms (1.7%)

simplify2.0ms (0.1%)

end35.0ms (1.1%)

Profiling

Iter	Nodes	Cost
0	11	240
1	25	240
2	37	240
3	54	240
4	84	240
5	133	240
6	206	240
7	279	240
8	311	240
9	331	240
10	343	240
11	312	240

Iter	Nodes	Cost
0	13	114
1	28	114
2	61	114
3	109	114
4	163	114
5	261	114
6	320	114
7	346	114
8	348	114
9	317	114

Iter	Nodes	Cost
0	11	240
1	25	240
2	37	240
3	54	240
4	84	240
5	133	240
6	206	240
7	279	240
8	311	240
9	331	240
10	343	240
11	312	240