Details

analyze499.0ms (13.2%)

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 (32.9%)

Results

1.1s

8256×

body

128

valid

Compiler

Compiled 92 to 80 computations (13% saved)

simplify72.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

716×	`fma-def_binary64`
480×	`unsub-neg_binary64`
457×	`sub-neg_binary64`
410×	`div-sub_binary64`
342×	`times-frac_binary64`

Counts

1 → 2

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	13	43
1	23	41
2	47	41
3	114	29
4	299	29
5	1006	26
6	2842	26
7	4184	26
8	4491	26
9	4846	26

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(-.f64 1 (/.f64 1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))

Compiler

Compiled 86 to 76 computations (11.6% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1 (/.f64 1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))
✓	0.0b	(+.f64 (/.f64 2 (+.f64 1 t)) -4)
✓	0.0b	(/.f64 1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))
✓	0.0b	(fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)

series10.0ms (0.3%)

Counts

4 → 48

Calls

4 calls:

3.0ms	(fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)
2.0ms	(/.f64 1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))
2.0ms	(-.f64 1 (/.f64 1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))
2.0ms	(+.f64 (/.f64 2 (+.f64 1 t)) -4)

rewrite33.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`*-un-lft-identity_binary64`
73×	`add-sqr-sqrt_binary64`
62×	`add-cube-cbrt_binary64`
61×	`times-frac_binary64`
39×	`prod-diff_binary64`

Counts

4 → 151

Calls

4 calls:

9.0ms	(+.f64 (/.f64 2 (+.f64 1 t)) -4)
6.0ms	(-.f64 1 (/.f64 1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))
2.0ms	(/.f64 1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))
0.0ms	(fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)

simplify202.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

978×	`fma-neg_binary64`
517×	`fma-def_binary64`
365×	`sub-neg_binary64`
254×	`associate-l_binary64`
211×	`cancel-sign-sub-inv_binary64`

Counts

199 → 245

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	196	6294
1	505	5097
2	1299	4140
3	3718	4135
4	4564	4020
5	4938	4020
6	4838	4020

prune890.0ms (23.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	244	1	245
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	244	2	246

Error

Counts

246 → 2

Alt Table

Status	Error	Program
▶	0.0b	(exp.f64 (log1p.f64 (/.f64 -1 (+.f64 6 (/.f64 (+.f64 -8 (/.f64 4 (+.f64 t 1))) (+.f64 t 1))))))
✓	0.0b	(-.f64 1 (/.f64 1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))

Compiler

Compiled 9680 to 8623 computations (10.9% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 -8 (/.f64 4 (+.f64 t 1)))
✓	0.0b	(/.f64 (+.f64 -8 (/.f64 4 (+.f64 t 1))) (+.f64 t 1))
✓	0.0b	(/.f64 -1 (+.f64 6 (/.f64 (+.f64 -8 (/.f64 4 (+.f64 t 1))) (+.f64 t 1))))
✓	0.0b	(log1p.f64 (/.f64 -1 (+.f64 6 (/.f64 (+.f64 -8 (/.f64 4 (+.f64 t 1))) (+.f64 t 1)))))

series12.0ms (0.3%)

Counts

4 → 48

Calls

4 calls:

4.0ms	(/.f64 (+.f64 -8 (/.f64 4 (+.f64 t 1))) (+.f64 t 1))
3.0ms	(log1p.f64 (/.f64 -1 (+.f64 6 (/.f64 (+.f64 -8 (/.f64 4 (+.f64 t 1))) (+.f64 t 1)))))
3.0ms	(/.f64 -1 (+.f64 6 (/.f64 (+.f64 -8 (/.f64 4 (+.f64 t 1))) (+.f64 t 1))))
2.0ms	(+.f64 -8 (/.f64 4 (+.f64 t 1)))

rewrite36.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`*-un-lft-identity_binary64`
28×	`times-frac_binary64`
24×	`add-sqr-sqrt_binary64`
24×	`add-cube-cbrt_binary64`
15×	`distribute-lft-out_binary64`

Counts

4 → 105

Calls

4 calls:

13.0ms	(/.f64 -1 (+.f64 6 (/.f64 (+.f64 -8 (/.f64 4 (+.f64 t 1))) (+.f64 t 1))))
10.0ms	(/.f64 (+.f64 -8 (/.f64 4 (+.f64 t 1))) (+.f64 t 1))
6.0ms	(+.f64 -8 (/.f64 4 (+.f64 t 1)))
0.0ms	(log1p.f64 (/.f64 -1 (+.f64 6 (/.f64 (+.f64 -8 (/.f64 4 (+.f64 t 1))) (+.f64 t 1)))))

simplify130.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

758×	`fma-neg_binary64`
491×	`times-frac_binary64`
423×	`fma-def_binary64`
207×	`distribute-rgt-in_binary64`
188×	`cancel-sign-sub-inv_binary64`

Counts

153 → 164

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	243	3440
1	607	3246
2	1480	3229
3	3705	3217
4	4936	3217
5	4976	3217

prune139.0ms (3.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	164	0	164
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	164	2	166

Error

Counts

166 → 2

Alt Table

Status	Error	Program
✓	0.0b	(exp.f64 (log1p.f64 (/.f64 -1 (+.f64 6 (/.f64 (+.f64 -8 (/.f64 4 (+.f64 t 1))) (+.f64 t 1))))))
✓	0.0b	(-.f64 1 (/.f64 1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))

Compiler

Compiled 4012 to 3497 computations (12.8% saved)

regimes429.0ms (11.4%)

Accuracy

Total 0.0b remaining (31.9%)

Threshold costs 0.0b (31.9%)

Counts

76 → 1

Compiler

Compiled 7595 to 6530 computations (14% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`*-commutative_binary64`
1×	`distribute-neg-frac_binary64`
1×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	18	26
2	24	26
3	26	26
4	27	26
5	25	26

end60.0ms (1.6%)

Compiler: Compiled 75 to 67 computations (10.7% saved)

Details

analyze499.0ms (13.2%)

sample1.2s (32.9%)

simplify72.0ms (1.9%)

prune3.0ms (0.1%)

localize8.0ms (0.2%)

series10.0ms (0.3%)

rewrite33.0ms (0.9%)

simplify202.0ms (5.3%)

prune890.0ms (23.6%)

localize11.0ms (0.3%)

series12.0ms (0.3%)

rewrite36.0ms (0.9%)

simplify130.0ms (3.4%)

prune139.0ms (3.7%)

regimes429.0ms (11.4%)

simplify3.0ms (0.1%)

end60.0ms (1.6%)

Profiling