Details

analyze667.0ms (5.9%)

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)

sample1.6s (14.3%)

Infinites

0% of outputs are infinite.

Results

1.5s

8256×

body

128

valid

Compiler

Compiled 158 to 134 computations (15.2% saved)

simplify79.0ms (0.7%)

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

prune5.0ms (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

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)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series10.0ms (0.1%)

Counts

4 → 48

Calls

4 calls:

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)))))
3.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
3.0ms	(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
1.0ms	(+.f64 1 (/.f64 1 t))

rewrite392.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Rules

1454×	`times-frac_binary64`
1396×	`*-un-lft-identity_binary64`
914×	`add-sqr-sqrt_binary64`
867×	`add-cube-cbrt_binary64`
639×	`prod-diff_binary64`

Counts

4 → 1043

Calls

4 calls:

99.0ms	(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
27.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
8.0ms	(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
4.0ms	(+.f64 1 (/.f64 1 t))

simplify1.3s (11%)

Algorithm

1×	egg-herbie

Rules

529×	`*-commutative_binary64`
427×	`distribute-rgt-in_binary64`
338×	`distribute-lft-in_binary64`
230×	`distribute-neg-frac_binary64`
228×	`fma-def_binary64`

Counts

1091 → 931

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1075	99618
1	2453	72638
2	5106	72638

prune6.7s (59.3%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	2712	0	2712
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	2712	1	2713

Error

0.0b

Counts

2713 → 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 251797 to 208689 computations (17.1% saved)

regimes490.0ms (4.3%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

72 → 1

Compiler

Compiled 16160 to 13652 computations (15.5% 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	15	61
1	22	61
2	28	61
3	35	61
4	38	61
5	39	61
6	36	61

end84.0ms (0.7%)

Compiler: Compiled 136 to 116 computations (14.7% saved)

Details

analyze667.0ms (5.9%)

sample1.6s (14.3%)

simplify79.0ms (0.7%)

prune5.0ms (0%)

localize23.0ms (0.2%)

series10.0ms (0.1%)

rewrite392.0ms (3.4%)

simplify1.3s (11%)

prune6.7s (59.3%)

regimes490.0ms (4.3%)

simplify4.0ms (0%)

end84.0ms (0.7%)

Profiling