Details

analyze5.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
62.5%	25%	12.5%	4
68.7%	12.5%	18.8%	5
71.8%	6.2%	21.9%	6
73.4%	3.1%	23.5%	7
74.2%	1.6%	24.3%	8
74.6%	0.8%	24.6%	9
75%	0.4%	24.6%	10
75.1%	0.2%	24.7%	11
75.1%	0.1%	24.8%	12
75.1%	0%	24.8%	13
75.2%	0%	24.8%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample2.0s (60.5%)

Results

1.2s	2761×	body	1024	valid
297.0ms	1367×	body	512	valid
261.0ms	3123×	body	128	valid
120.0ms	307×	body	2048	valid
102.0ms	698×	body	256	valid

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify15.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

95×	`fma-def_binary64`
80×	`fma-neg_binary64`
32×	`distribute-rgt-in_binary64`
27×	`cancel-sign-sub-inv_binary64`
26×	`distribute-lft-in_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	6
1	15	6
2	18	6
3	22	6
4	30	6
5	38	6
6	57	6
7	86	6
8	113	6
9	154	6
10	224	6
11	261	6
12	297	6
13	300	6
14	263	6

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(/.f64 (expm1.f64 x) x)

Compiler

Compiled 21 to 13 computations (38.1% saved)

localize2.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (expm1.f64 x) x)

series3.0ms (0.1%)

Counts

1 → 12

Calls

1 calls:

3.0ms

(/.f64 (expm1.f64 x) x)

rewrite77.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

768×	`log1p-udef_binary64`
417×	`log1p-expm1-u_binary64`
417×	`expm1-log1p-u_binary64`
357×	`pow1_binary64`
289×	`unpow-prod-down_binary64`

Counts

1 → 62

Calls

1 calls:

76.0ms

(/.f64 (expm1.f64 x) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	6
1	82	6
2	1076	6
3	4800	6
4	6280	6

simplify77.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

538×	`unswap-sqr_binary64`
529×	`associate-l_binary64`
501×	`fma-neg_binary64`
484×	`fma-def_binary64`
348×	`associate-/l*_binary64`

Counts

74 → 71

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	26	91
1	67	89
2	140	86
3	327	79
4	748	76
5	2248	76
6	4569	76
7	4950	76
8	5000	76
9	4913	76

prune34.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	70	2	72

Error

Counts

72 → 2

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (expm1.f64 x) x)
▶	0.5b	(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))

Compiler

Compiled 782 to 359 computations (54.1% saved)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (expm1.f64 x) x)
✓	0.1b	(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))
✓	0.2b	(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2)
✓	0.2b	(cbrt.f64 (/.f64 (expm1.f64 x) x))

series709.0ms (21.7%)

Counts

3 → 36

Calls

3 calls:

447.0ms	(cbrt.f64 (/.f64 (expm1.f64 x) x))
245.0ms	(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2)
17.0ms	(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))

rewrite76.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

612×	`log1p-expm1-u_binary64`
612×	`expm1-log1p-u_binary64`
310×	`log-prod_binary64`
116×	`expm1-udef_binary64`
116×	`log1p-udef_binary64`

Counts

3 → 96

Calls

3 calls:

75.0ms	(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))
75.0ms	(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2)
75.0ms	(cbrt.f64 (/.f64 (expm1.f64 x) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	25
1	146	25
2	1603	25
3	4956	25
4	5087	25

simplify66.0ms (2%)

Algorithm

1×	egg-herbie

Rules

682×	`fma-def_binary64`
507×	`associate-l_binary64`
402×	`associate-r_binary64`
282×	`exp-sum_binary64`
278×	`fma-neg_binary64`

Counts

132 → 123

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	66	533
1	172	511
2	387	470
3	1060	369
4	3121	361
5	4297	361
6	5064	361

prune151.0ms (4.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	312	0	312
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	312	2	314

Error

Counts

314 → 2

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (expm1.f64 x) x)
✓	0.5b	(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))

Compiler

Compiled 5400 to 2166 computations (59.9% saved)

regimes28.0ms (0.9%)

Accuracy

Total 0.0b remaining (14.5%)

Threshold costs 0.0b (14.5%)

Counts

15 → 1

Compiler

Compiled 301 to 221 computations (26.6% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	6
1	4	6

end33.0ms (1%)

Compiler: Compiled 29 to 16 computations (44.8% saved)

Iter	Nodes	Cost
0	6	6
1	15	6
2	18	6
3	22	6
4	30	6
5	38	6
6	57	6
7	86	6
8	113	6
9	154	6
10	224	6
11	261	6
12	297	6
13	300	6
14	263	6

Iter	Nodes	Cost
0	6	6
1	15	6
2	18	6
3	22	6
4	30	6
5	38	6
6	57	6
7	86	6
8	113	6
9	154	6
10	224	6
11	261	6
12	297	6
13	300	6
14	263	6

Details

analyze5.0ms (0.2%)

sample2.0s (60.5%)

simplify15.0ms (0.5%)

prune4.0ms (0.1%)

localize2.0ms (0.1%)

series3.0ms (0.1%)

rewrite77.0ms (2.4%)

simplify77.0ms (2.3%)

prune34.0ms (1%)

localize6.0ms (0.2%)

series709.0ms (21.7%)

rewrite76.0ms (2.3%)

simplify66.0ms (2%)

prune151.0ms (4.6%)

regimes28.0ms (0.9%)

simplify2.0ms (0%)

end33.0ms (1%)

Profiling

Iter	Nodes	Cost
0	6	6
1	15	6
2	18	6
3	22	6
4	30	6
5	38	6
6	57	6
7	86	6
8	113	6
9	154	6
10	224	6
11	261	6
12	297	6
13	300	6
14	263	6