Details

analyze5.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
50%	12.5%	37.5%	5
50%	6.2%	43.8%	6
50%	3.1%	46.9%	7
50%	1.6%	48.5%	8
50%	0.8%	49.2%	9
50.4%	0.4%	49.2%	10
50.4%	0.2%	49.4%	11
50.4%	0.1%	49.5%	12
50.4%	0%	49.6%	13
50.4%	0%	49.6%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample118.0ms (5.2%)

Algorithm

1×

intervals

Results

36.0ms	126×	body	1024	valid
9.0ms	56×	body	512	valid
3.0ms	36×	body	256	valid
3.0ms	9×	body	2048	valid
1.0ms	29×	body	128	valid

Compiler

Compiled 20 to 16 computations (20% saved)

simplify54.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

618×	`fma-neg_binary64`
579×	`fma-def_binary64`
510×	`associate-/l*_binary64`
467×	`div-sub_binary64`
425×	`times-frac_binary64`

Counts

1 → 2

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	19	13
2	33	13
3	57	13
4	112	13
5	224	13
6	514	13
7	1303	13
8	3047	12
9	4469	12
10	4859	12

prune4.0ms (0.2%)

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

57.4b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	57.4b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
	57.4b	(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))

Compiler

Compiled 53 to 37 computations (30.2% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.9b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series3.0ms (0.1%)

Counts

1 → 8

Calls

1 calls:

2.0ms

(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite8.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64`
11×	`add-sqr-sqrt_binary64`
9×	`prod-diff_binary64`
9×	`add-cube-cbrt_binary64`
3×	`cancel-sign-sub-inv_binary64`

Counts

1 → 31

Calls

1 calls:

5.0ms

(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify75.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

608×	`fma-neg_binary64`
326×	`unsub-neg_binary64`
325×	`distribute-rgt-in_binary64`
287×	`associate-/r*_binary64`
265×	`associate-l_binary64`

Counts

39 → 49

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	86	629
1	175	535
2	491	470
3	1944	470
4	3994	468
5	4786	468
6	4810	468

prune27.0ms (1.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	48	1	49
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	50	1	51

Error

Counts

51 → 1

Alt Table

Status	Error	Program
▶	0b	(/.f64 (*.f64 2 (sinh.f64 x)) 2)

Compiler

Compiled 942 to 347 computations (63.2% saved)

localize4.0ms (0.2%)

prune1.0ms (0%)

Pruning

1 alts after pruning (0 fresh and 1 done)

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

Error

Counts

1 → 1

Alt Table

Status	Error	Program
✓	0b	(/.f64 (*.f64 2 (sinh.f64 x)) 2)

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes36.0ms (1.6%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

12 → 1

Compiler

Compiled 561 to 428 computations (23.7% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms (0%)

Compiler: Compiled 7 to 6 computations (14.3% saved)

sample2.0s (85.1%)

Algorithm

1×

intervals

Results

1.1s	3949×	body	1024	valid
292.0ms	1905×	body	512	valid
150.0ms	435×	body	2048	valid
100.0ms	1013×	body	256	valid
37.0ms	698×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 25 to 21 computations (16% saved)

Details

analyze5.0ms (0.2%)

sample118.0ms (5.2%)

simplify54.0ms (2.3%)

prune4.0ms (0.2%)

localize6.0ms (0.3%)

series3.0ms (0.1%)

rewrite8.0ms (0.3%)

simplify75.0ms (3.3%)

prune27.0ms (1.2%)

localize4.0ms (0.2%)

prune1.0ms (0%)

regimes36.0ms (1.6%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample2.0s (85.1%)

Profiling