Details

analyze501.0ms (15.8%)

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 31 to 27 computations (12.9% saved)

sample1.2s (38%)

Results

1.2s

8256×

body

128

valid

Compiler

Compiled 92 to 80 computations (13% saved)

simplify28.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

716×	`fma-def_binary64`
408×	`div-sub_binary64`
342×	`times-frac_binary64`
274×	`associate-/l*_binary64`
193×	`unsub-neg_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	13	43
1	23	41
2	47	41
3	120	29
4	342	29
5	1339	26
6	4694	26

Stop Event

1×	node limit

Counts

1 → 2

prune4.0ms (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

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(-.f64 1 (/.f64 1 (+.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 108 to 94 computations (13% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
✓	0.0b	(/.f64 1 (+.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)))))
✓	2.0b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

series10.0ms (0.3%)

Counts

4 → 48

Calls

4 calls:

3.0ms	(/.f64 1 (+.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 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
2.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
2.0ms	(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))

rewrite69.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

274×	`prod-diff_binary64`
246×	`log1p-udef_binary64`
140×	`add-sqr-sqrt_binary64`
136×	`log1p-expm1-u_binary64`
136×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	73
1	286	73
2	4026	73

Stop Event

1×	node limit

Counts

4 → 121

Calls

4 calls:

67.0ms	(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
67.0ms	(/.f64 1 (+.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)))))))
67.0ms	(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
67.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

simplify34.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

811×	`fma-neg_binary64`
353×	`fma-def_binary64`
332×	`sub-neg_binary64`
252×	`cancel-sign-sub-inv_binary64`
170×	`distribute-rgt-out--_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	79	656
1	275	636
2	858	617
3	2745	610

Stop Event

1×	node limit

Counts

169 → 177

prune269.0ms (8.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	275	1	276
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	276	1	277

Error

Counts

277 → 1

Alt Table

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

Compiler

Compiled 8993 to 7786 computations (13.4% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))
✓	0.0b	(pow.f64 (+.f64 2 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) -2)
✓	0.0b	(pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)
✓	2.0b	(+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))

series10.0ms (0.3%)

Counts

4 → 48

Calls

4 calls:

3.0ms	(pow.f64 (+.f64 2 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) -2)
2.0ms	(pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)
2.0ms	(/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))
2.0ms	(+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))

rewrite70.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

273×	`prod-diff_binary64`
253×	`log1p-udef_binary64`
145×	`add-sqr-sqrt_binary64`
143×	`log1p-expm1-u_binary64`
143×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	73
1	307	73
2	4101	73

Stop Event

1×	node limit

Counts

4 → 121

Calls

4 calls:

67.0ms	(/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))
67.0ms	(pow.f64 (+.f64 2 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) -2)
67.0ms	(pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)
67.0ms	(+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))

simplify33.0ms (1%)

Algorithm

1×	egg-herbie

Rules

732×	`fma-neg_binary64`
340×	`fma-def_binary64`
294×	`sub-neg_binary64`
232×	`associate-/r*_binary64`
206×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	81	653
1	272	639
2	805	622
3	2545	617

Stop Event

1×	node limit

Counts

169 → 178

prune154.0ms (4.9%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	178	0	178
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	178	1	179

Error

Counts

179 → 1

Alt Table

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

Compiler

Compiled 4834 to 4273 computations (11.6% saved)

regimes706.0ms (22.3%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

106 → 1

Compiler

Compiled 15306 to 13491 computations (11.9% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`*-commutative_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	30
1	22	30
2	26	30
3	28	30
4	29	30

Stop Event

1×

saturated

end56.0ms (1.8%)

Compiler: Compiled 63 to 57 computations (9.5% saved)

Details

analyze501.0ms (15.8%)

sample1.2s (38%)

simplify28.0ms (0.9%)

prune4.0ms (0.1%)

localize10.0ms (0.3%)

series10.0ms (0.3%)

rewrite69.0ms (2.2%)

simplify34.0ms (1.1%)

prune269.0ms (8.5%)

localize11.0ms (0.3%)

series10.0ms (0.3%)

rewrite70.0ms (2.2%)

simplify33.0ms (1%)

prune154.0ms (4.9%)

regimes706.0ms (22.3%)

simplify2.0ms (0.1%)

end56.0ms (1.8%)

Profiling