Details

analyze1.7s (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 53 to 45 computations (15.1% saved)

sample4.0s (37.1%)

Results

3.9s

8256×

body

128

valid

Compiler

Compiled 158 to 134 computations (15.2% saved)

simplify66.0ms (0.6%)

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

prune9.0ms (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 (+.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

▶

0.0b

(/.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)))))))

Compiler

Compiled 185 to 157 computations (15.1% saved)

localize20.0ms (0.2%)

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 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)))))
✓	3.0b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

series21.0ms (0.2%)

Counts

4 → 48

Calls

4 calls:

6.0ms	(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
5.0ms	(+.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))))))
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)))))
4.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

rewrite202.0ms (1.9%)

Algorithm

2×	batch-egg-rewrite

Rules

291×	`fma-def_binary64`
274×	`prod-diff_binary64`
226×	`expm1-udef_binary64`
226×	`log1p-udef_binary64`
146×	`egg-rr`

Counts

4 → 146

Calls

4 calls:

196.0ms	(+.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))))))
196.0ms	(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
196.0ms	(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
196.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	70
1	261	70
2	3463	70
3	4969	70
0	0	0
1	0	0

simplify179.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

722×	`fma-neg_binary64`
471×	`associate-l_binary64`
382×	`sub-neg_binary64`
356×	`fma-def_binary64`
251×	`cancel-sign-sub-inv_binary64`

Counts

194 → 201

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	71	670
1	250	648
2	718	623
3	2026	616
4	4727	616
5	4971	616

prune2.1s (19.3%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	569	0	569
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	569	1	570

Error

0.0b

Counts

570 → 1

Alt Table

Status	Error	Program
✓	0.0b	(/.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

✓

0.0b

(/.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)))))))

Compiler

Compiled 31901 to 26982 computations (15.4% saved)

regimes2.2s (20.7%)

Accuracy

Total 0.0b remaining (0.6%)

Threshold costs 0.0b (0.6%)

Counts

126 → 1

Compiler

Compiled 27973 to 23731 computations (15.2% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7×	`+-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	17	68
1	25	68
2	31	68
3	38	68
4	41	68
5	42	68
6	40	68

end253.0ms (2.3%)

Compiler: Compiled 144 to 124 computations (13.9% saved)

Details

analyze1.7s (15.8%)

sample4.0s (37.1%)

simplify66.0ms (0.6%)

prune9.0ms (0.1%)

localize20.0ms (0.2%)

series21.0ms (0.2%)

rewrite202.0ms (1.9%)

simplify179.0ms (1.7%)

prune2.1s (19.3%)

regimes2.2s (20.7%)

simplify6.0ms (0.1%)

end253.0ms (2.3%)

Profiling