Details

analyze1.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample1.8s (63.7%)

Results

812.0ms	2060×	body	1024	valid
437.0ms	4470×	body	128	valid
284.0ms	1011×	body	512	valid
95.0ms	527×	body	256	valid
88.0ms	188×	body	2048	valid

Compiler

Compiled 38 to 35 computations (7.9% saved)

simplify63.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

978×	`times-frac_binary64`
434×	`unswap-sqr_binary64`
378×	`associate-*l/_binary64`
368×	`fma-neg_binary64`
358×	`fma-def_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	15
1	19	15
2	25	15
3	34	15
4	59	15
5	113	15
6	235	15
7	600	15
8	1504	15
9	2557	15
10	4582	15
11	4956	15
12	4701	15

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

27.7b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	27.7b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

Compiler

Compiled 36 to 33 computations (8.3% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
✓	3.9b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

series18.0ms (0.6%)

Counts

2 → 16

Calls

2 calls:

9.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
9.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))

rewrite26.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

98×	`*-un-lft-identity_binary64`
73×	`add-sqr-sqrt_binary64`
63×	`times-frac_binary64`
62×	`add-cube-cbrt_binary64`
54×	`prod-diff_binary64`

Counts

2 → 132

Calls

2 calls:

10.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
5.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))

simplify117.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

401×	`fma-neg_binary64`
396×	`associate-/l*_binary64`
334×	`associate-*l/_binary64`
305×	`distribute-rgt-in_binary64`
266×	`distribute-lft-in_binary64`

Counts

148 → 187

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	136	2989
1	302	2912
2	706	2515
3	1914	2437
4	4803	2437
5	4954	2437

prune138.0ms (4.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	185	2	187
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	185	3	188

Error

Counts

188 → 3

Alt Table

Status	Error	Program
▶	27.7b	(log.f64 (exp.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1)))
✓	27.7b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
	32.5b	x

Compiler

Compiled 4532 to 4156 computations (8.3% saved)

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2))))
✓	3.9b	(log.f64 (exp.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1)))
✓	3.9b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1)

series27.0ms (0.9%)

Counts

3 → 36

Calls

3 calls:

10.0ms	(log.f64 (exp.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1)))
9.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1)
8.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2))))

rewrite55.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

166×	`*-un-lft-identity_binary64`
130×	`add-sqr-sqrt_binary64`
108×	`prod-diff_binary64`
108×	`add-cube-cbrt_binary64`
102×	`times-frac_binary64`

Counts

3 → 215

Calls

3 calls:

14.0ms	(log.f64 (exp.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1)))
11.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1)
4.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2))))

simplify198.0ms (6.9%)

Algorithm

1×	egg-herbie

Rules

495×	`fma-neg_binary64`
340×	`distribute-rgt-in_binary64`
291×	`distribute-lft-in_binary64`
246×	`associate-/l/_binary64`
232×	`fma-def_binary64`

Counts

251 → 244

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	201	5370
1	357	5208
2	788	4325
3	2098	4251
4	4504	4215
5	4992	4215
6	4918	4215

prune206.0ms (7.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	244	0	244
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	244	3	247

Error

Counts

247 → 3

Alt Table

Status	Error	Program
✓	27.7b	(log.f64 (exp.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1)))
✓	27.7b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
▶	32.5b	x

Compiler

Compiled 7171 to 6666 computations (7% saved)

localize1.0ms (0%)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

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

Error

Counts

3 → 3

Alt Table

Status	Error	Program
✓	27.7b	(log.f64 (exp.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1)))
✓	27.7b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
✓	32.5b	x

Compiler

Compiled 29 to 26 computations (10.3% saved)

regimes99.0ms (3.5%)

Accuracy

Total 0.3b remaining (77.1%)

Threshold costs 0.3b (77.1%)

Counts

4 → 3

Compiler

Compiled 568 to 510 computations (10.2% saved)

bsearch0.0ms (0%)

Compiler: Compiled 5 to 4 computations (20% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`
1×	`if-if-or-not_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	40
1	29	40
2	30	40
3	28	40

end69.0ms (2.4%)

Compiler: Compiled 85 to 74 computations (12.9% saved)

Details

analyze1.0ms (0%)

sample1.8s (63.7%)

simplify63.0ms (2.2%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

series18.0ms (0.6%)

rewrite26.0ms (0.9%)

simplify117.0ms (4.1%)

prune138.0ms (4.8%)

localize10.0ms (0.3%)

series27.0ms (0.9%)

rewrite55.0ms (1.9%)

simplify198.0ms (6.9%)

prune206.0ms (7.2%)

localize1.0ms (0%)

prune2.0ms (0.1%)

regimes99.0ms (3.5%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end69.0ms (2.4%)

Profiling