Details

analyze795.0ms (5.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	50%	0%	4
50%	50%	0%	5
50%	50%	0%	6
50%	50%	0%	7
50%	50%	0%	8
50%	50%	0%	9
50%	50%	0%	10
50%	50%	0%	11
50%	49.9%	0%	12
99.6%	0.3%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 53 to 45 computations (15.1% saved)

sample114.0ms (0.8%)

Algorithm

1×

intervals

Results

42.0ms

256×

body

128

valid

Compiler

Compiled 106 to 90 computations (15.1% saved)

simplify60.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

976×	`fma-def_binary64`
667×	`div-sub_binary64`
616×	`sub-neg_binary64`
386×	`unsub-neg_binary64`
342×	`times-frac_binary64`

Counts

1 → 2

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	13	76
1	22	72
2	42	72
3	108	48
4	313	48
5	1138	42
6	3303	42
7	4367	42
8	5019	42

prune4.0ms (0%)

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

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0b	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))

Status

Error

Program

▶

(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))

Compiler

Compiled 185 to 157 computations (15.1% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))
✓	0.0b	(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
✓	0.0b	(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
✓	3.2b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

series13.0ms (0.1%)

Counts

4 → 48

Calls

4 calls:

5.0ms	(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
3.0ms	(+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))
3.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
3.0ms	(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))

rewrite620.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Rules

2334×	`times-frac_binary64`
2239×	`*-un-lft-identity_binary64`
1448×	`add-sqr-sqrt_binary64`
1401×	`add-cube-cbrt_binary64`
1065×	`prod-diff_binary64`

Counts

4 → 1611

Calls

4 calls:

60.0ms	(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
56.0ms	(+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))
29.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
9.0ms	(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))

simplify2.6s (17.1%)

Algorithm

1×	egg-herbie

Rules

530×	`*-commutative_binary64`
489×	`fma-def_binary64`
443×	`distribute-rgt-in_binary64`
273×	`+-commutative_binary64`
230×	`distribute-neg-frac_binary64`

Counts

1659 → 1491

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	1343	130973
1	2760	97415
2	4822	97352
3	4989	97352
4	4958	97352

prune8.9s (59.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	3204	0	3204
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	3204	1	3205

Error

Counts

3205 → 1

Alt Table

Status	Error	Program
✓	0b	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))

Status

Error

Program

✓

(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))

Compiler

Compiled 310704 to 257274 computations (17.2% saved)

regimes464.0ms (3.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

78 → 1

Compiler

Compiled 16820 to 14196 computations (15.6% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative_binary64`
3×	`sub-neg_binary64`
2×	`*-commutative_binary64`
2×	`distribute-neg-frac_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	76
1	20	76
2	26	76
3	33	76
4	36	76
5	37	76
6	35	76

end1.0ms (0%)

Compiler: Compiled 52 to 44 computations (15.4% saved)

sample1.5s (10%)

Algorithm

1×

intervals

Results

1.2s

8000×

body

128

valid

Compiler

Compiled 158 to 134 computations (15.2% saved)

Details

analyze795.0ms (5.3%)

sample114.0ms (0.8%)

simplify60.0ms (0.4%)

prune4.0ms (0%)

localize10.0ms (0.1%)

series13.0ms (0.1%)

rewrite620.0ms (4.1%)

simplify2.6s (17.1%)

prune8.9s (59.1%)

regimes464.0ms (3.1%)

simplify4.0ms (0%)

end1.0ms (0%)

sample1.5s (10%)

Profiling