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)

sample131.0ms (5.3%)

Algorithm

1×

intervals

Results

46.0ms	148×	body	1024	valid
8.0ms	50×	body	512	valid
3.0ms	10×	body	2048	valid
3.0ms	28×	body	256	valid
2.0ms	20×	body	128	valid

Compiler

Compiled 20 to 16 computations (20% saved)

simplify54.0ms (2.2%)

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

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

58.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	58.0b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)

Compiler

Compiled 35 to 25 computations (28.6% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.3b	(-.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)))

rewrite7.0ms (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)))

simplify78.0ms (3.2%)

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

prune25.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	48	1	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	2	50

Error

Counts

50 → 2

Alt Table

Status	Error	Program
▶	0.4b	(/.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))) 2)
✓	58.0b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)

Compiler

Compiled 969 to 368 computations (62% saved)

localize9.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 1/3 (pow.f64 x 3))

series3.0ms (0.1%)

Counts

1 → 0

Calls

1 calls:

3.0ms

(*.f64 1/3 (pow.f64 x 3))

rewrite8.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`associate-r_binary64`
12×	`add-sqr-sqrt_binary64`
6×	`add-exp-log_binary64`
5×	`*-un-lft-identity_binary64`
5×	`add-cube-cbrt_binary64`

Counts

1 → 33

Calls

1 calls:

5.0ms

(*.f64 1/3 (pow.f64 x 3))

simplify79.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

513×	`associate-l_binary64`
478×	`associate-r_binary64`
457×	`fma-def_binary64`
349×	`log-prod_binary64`
311×	`cube-prod_binary64`

Counts

33 → 39

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	58	354
1	108	314
2	300	313
3	1643	313
4	2725	283
5	4361	283
6	4942	283
7	4928	283

prune35.0ms (1.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	39	2	41

Error

Counts

41 → 2

Alt Table

Status	Error	Program
✓	0.4b	(/.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))) 2)
✓	58.0b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)

Compiler

Compiled 824 to 658 computations (20.1% saved)

regimes23.0ms (0.9%)

Accuracy

Total -0.0b remaining (-141.9%)

Threshold costs -0.0b (-141.9%)

Counts

7 → 1

Compiler

Compiled 273 to 221 computations (19% saved)

simplify3.0ms (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 (80.9%)

Algorithm

1×

intervals

Results

1.2s	3970×	body	1024	valid
314.0ms	1985×	body	512	valid
126.0ms	399×	body	2048	valid
92.0ms	971×	body	256	valid
33.0ms	675×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 43 to 35 computations (18.6% saved)

Details

analyze5.0ms (0.2%)

sample131.0ms (5.3%)

simplify54.0ms (2.2%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

series3.0ms (0.1%)

rewrite7.0ms (0.3%)

simplify78.0ms (3.2%)

prune25.0ms (1%)

localize9.0ms (0.4%)

series3.0ms (0.1%)

rewrite8.0ms (0.3%)

simplify79.0ms (3.2%)

prune35.0ms (1.4%)

regimes23.0ms (0.9%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.0s (80.9%)

Profiling