Details

analyze33.0ms (1.8%)

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)

sample37.0ms (2%)

Algorithm

1×

intervals

Results

17.0ms	78×	body	1024	valid
5.0ms	44×	body	512	valid
4.0ms	11×	body	2048	valid
3.0ms	103×	body	128	valid
1.0ms	20×	body	256	valid

Compiler

Compiled 16 to 12 computations (25% saved)

simplify20.0ms (1.1%)

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 → 1

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

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

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

Compiler

Compiled 15 to 9 computations (40% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (expm1.f64 x) x)

rewrite35.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

16×	`add-cube-cbrt_binary64`
7×	`add-cbrt-cube_binary64`
7×	`expm1-udef_binary64`
6×	`div-sub_binary64`
6×	`add-exp-log_binary64`

Counts

1 → 52

Calls

1 calls:

12.0ms

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

Compiler

Compiled 495 to 149 computations (69.9% saved)

series10.0ms (0.6%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

7.0ms

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

Compiler

Compiled 119 to 94 computations (21% saved)

simplify61.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

504×	`associate-/l*_binary64`
410×	`associate-/r*_binary64`
381×	`associate-l_binary64`
336×	`associate-r_binary64`
291×	`fma-neg_binary64`

Counts

58 → 24

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	88	511
1	212	480
2	792	471
3	4338	461
4	5223	461

prune9.0ms (0.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	23	1	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	23	2	25

Error

Counts

25 → 2

Alt Table

Status	Error	Program
▶	29.1b	(/.f64 (.f64 x (expm1.f64 x)) (.f64 x x))
✓	0.0b	(/.f64 (expm1.f64 x) x)

Compiler

Compiled 195 to 90 computations (53.8% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (expm1.f64 x))
28.5b	(/.f64 (.f64 x (expm1.f64 x)) (.f64 x x))

rewrite60.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

16×	`add-exp-log_binary64`
15×	`pow1_binary64`
12×	`add-sqr-sqrt_binary64`
12×	`add-cbrt-cube_binary64`
10×	`add-cube-cbrt_binary64`

Counts

2 → 82

Calls

2 calls:

26.0ms	(*.f64 x (expm1.f64 x))
13.0ms	(/.f64 (.f64 x (expm1.f64 x)) (.f64 x x))

Compiler

Compiled 888 to 198 computations (77.7% saved)

series18.0ms (1%)

Error

Counts

2 → 12

Calls

2 calls:

7.0ms	(*.f64 x (expm1.f64 x))
7.0ms	(/.f64 (.f64 x (expm1.f64 x)) (.f64 x x))

Compiler

Compiled 305 to 219 computations (28.2% saved)

simplify71.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

932×	`fma-def_binary64`
844×	`associate-/l*_binary64`
498×	`associate-/r*_binary64`
175×	`associate-/l/_binary64`
161×	`associate-/r/_binary64`

Counts

94 → 49

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	112	840
1	256	661
2	967	650
3	4793	639
4	5511	639

prune13.0ms (0.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	49	2	51

Error

Counts

51 → 2

Alt Table

Status	Error	Program
	29.1b	(/.f64 (.f64 x (expm1.f64 x)) (.f64 x x))
	0.0b	(/.f64 (expm1.f64 x) x)

Compiler

Compiled 349 to 131 computations (62.5% saved)

regimes30.0ms (1.6%)

Accuracy

Total 0.0b remaining (55.8%)

Threshold costs 0.0b (55.8%)

Compiler

Compiled 233 to 157 computations (32.6% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	8	9
2	7	9

end0.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

sample1.4s (77.5%)

Algorithm

1×

intervals

Results

484.0ms	2677×	body	1024	valid
162.0ms	3135×	body	128	valid
161.0ms	1284×	body	512	valid
84.0ms	279×	body	2048	valid
40.0ms	625×	body	256	valid

Compiler

Compiled 30 to 20 computations (33.3% 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

analyze33.0ms (1.8%)

sample37.0ms (2%)

simplify20.0ms (1.1%)

prune3.0ms (0.1%)

localize3.0ms (0.1%)

rewrite35.0ms (1.9%)

series10.0ms (0.6%)

simplify61.0ms (3.3%)

prune9.0ms (0.5%)

localize5.0ms (0.3%)

rewrite60.0ms (3.3%)

series18.0ms (1%)

simplify71.0ms (3.9%)

prune13.0ms (0.7%)

regimes30.0ms (1.6%)

simplify3.0ms (0.2%)

end0.0ms (0%)

sample1.4s (77.5%)

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