Details

analyze592.0ms (17.4%)

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)

sample1.4s (42%)

Results

1.3s

8256×

body

128

valid

Compiler

Compiled 92 to 80 computations (13% saved)

simplify78.0ms (2.3%)

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

prune4.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

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)))
	0.2b	(-.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))))))))

Status

Error

Program

▶

0.0b

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

0.2b

(-.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 146 to 128 computations (12.3% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series13.0ms (0.4%)

Counts

4 → 48

Calls

4 calls:

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

rewrite105.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

352×	`prod-diff_binary64`
292×	`fma-udef_binary64`
237×	`expm1-udef_binary64`
236×	`log1p-udef_binary64`
168×	`fma-neg_binary64`

Counts

4 → 118

Calls

4 calls:

103.0ms	(+.f64 (/.f64 2 (+.f64 1 t)) -4)
103.0ms	(-.f64 1 (/.f64 1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))
103.0ms	(/.f64 1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))
103.0ms	(fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	79
1	278	79
2	3402	79
3	4894	79
4	4807	79

simplify66.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

624×	`times-frac_binary64`
619×	`fma-neg_binary64`
609×	`cancel-sign-sub-inv_binary64`
383×	`associate-l_binary64`
287×	`fma-def_binary64`

Counts

166 → 173

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	77	585
1	255	564
2	685	549
3	1899	544
4	4432	544
5	5086	544

prune269.0ms (7.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	172	1	173
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	173	2	175

Error

Counts

175 → 2

Alt Table

Status	Error	Program
▶	0.5b	(pow.f64 (sqrt.f64 (-.f64 1 (/.f64 1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))) 2)
✓	0.0b	(-.f64 1 (/.f64 1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))

Compiler

Compiled 4116 to 3637 computations (11.6% saved)

localize13.0ms (0.4%)

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 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)
✓	0.5b	(pow.f64 (sqrt.f64 (-.f64 1 (/.f64 1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))) 2)

series6.0ms (0.2%)

Counts

1 → 12

Calls

1 calls:

6.0ms

(pow.f64 (sqrt.f64 (-.f64 1 (/.f64 1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))) 2)

rewrite63.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

352×	`prod-diff_binary64`
250×	`expm1-udef_binary64`
249×	`log1p-udef_binary64`
143×	`add-sqr-sqrt_binary64`
142×	`log1p-expm1-u_binary64`

Counts

1 → 34

Calls

1 calls:

62.0ms

(pow.f64 (sqrt.f64 (-.f64 1 (/.f64 1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))) 2)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	26
1	303	26
2	3604	26
3	4936	26

simplify63.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

460×	`fma-def_binary64`
452×	`distribute-rgt-neg-in_binary64`
446×	`cancel-sign-sub-inv_binary64`
437×	`fma-neg_binary64`
305×	`associate-/r*_binary64`

Counts

46 → 50

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	204
1	99	138
2	217	133
3	560	131
4	1566	131
5	3804	131
6	4840	131
7	4863	131

prune179.0ms (5.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	176	0	176
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	176	2	178

Error

Counts

178 → 2

Alt Table

Status	Error	Program
✓	0.5b	(pow.f64 (sqrt.f64 (-.f64 1 (/.f64 1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))) 2)
✓	0.0b	(-.f64 1 (/.f64 1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))

Compiler

Compiled 4794 to 4280 computations (10.7% saved)

regimes447.0ms (13.1%)

Accuracy

Total 0.0b remaining (18.7%)

Threshold costs 0.0b (18.7%)

Counts

68 → 1

Compiler

Compiled 7057 to 6076 computations (13.9% saved)

simplify2.0ms (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

end71.0ms (2.1%)

Compiler: Compiled 79 to 71 computations (10.1% saved)

Details

analyze592.0ms (17.4%)

sample1.4s (42%)

simplify78.0ms (2.3%)

prune4.0ms (0.1%)

localize8.0ms (0.2%)

series13.0ms (0.4%)

rewrite105.0ms (3.1%)

simplify66.0ms (1.9%)

prune269.0ms (7.9%)

localize13.0ms (0.4%)

series6.0ms (0.2%)

rewrite63.0ms (1.8%)

simplify63.0ms (1.8%)

prune179.0ms (5.3%)

regimes447.0ms (13.1%)

simplify2.0ms (0.1%)

end71.0ms (2.1%)

Profiling