Details

analyze780.0ms (15.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
3.1%	90.5%	6.3%	6
4.7%	85.9%	9.5%	7
21.1%	64%	14.9%	8
23.4%	58.9%	17.7%	9
27.7%	51.3%	21%	10
28.9%	48.5%	22.6%	11
31.1%	44.4%	24.5%	12
31.7%	42.9%	25.4%	13
32.7%	41%	26.3%	14

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample3.0s (61.1%)

Results

1.1s	1746×	body	1024	valid
665.0ms	4644×	body	128	valid
517.0ms	1113×	body	512	valid
170.0ms	182×	body	2048	valid
163.0ms	571×	body	256	valid
161.0ms	296×	body	512	invalid
101.0ms	185×	body	1024	invalid
54.0ms	392×	body	128	invalid
35.0ms	141×	body	256	invalid

Compiler

Compiled 41 to 26 computations (36.6% saved)

simplify48.0ms (1%)

Algorithm

1×	egg-herbie

Rules

740×	`fma-def_binary64`
522×	`unswap-sqr_binary64`
335×	`fma-neg_binary64`
256×	`associate-l_binary64`
216×	`associate-r_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	16	13
2	25	13
3	53	13
4	116	13
5	276	13
6	665	13
7	2268	13
8	4318	13
9	4902	13

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

12.7b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	12.7b	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)

Compiler

Compiled 44 to 22 computations (50% saved)

localize5.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
✓	0.0b	(/.f64 x (+.f64 x y))
✓	6.8b	(pow.f64 (/.f64 x (+.f64 x y)) x)

series93.0ms (1.9%)

Counts

3 → 72

Calls

3 calls:

55.0ms	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
30.0ms	(pow.f64 (/.f64 x (+.f64 x y)) x)
8.0ms	(/.f64 x (+.f64 x y))

rewrite33.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

138×	`times-frac_binary64`
118×	`*-un-lft-identity_binary64`
90×	`unpow-prod-down_binary64`
80×	`add-sqr-sqrt_binary64`
80×	`add-cube-cbrt_binary64`

Counts

3 → 178

Calls

3 calls:

7.0ms	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
5.0ms	(/.f64 x (+.f64 x y))
5.0ms	(pow.f64 (/.f64 x (+.f64 x y)) x)

simplify187.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

358×	`associate-/l*_binary64`
339×	`times-frac_binary64`
332×	`fma-def_binary64`
265×	`fma-neg_binary64`
253×	`associate-/r*_binary64`

Counts

250 → 273

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	564	7650
1	1419	7378
2	4947	7378
3	5165	7378

prune167.0ms (3.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	270	3	273
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	271	3	274

Error

0.0b

Counts

274 → 3

Alt Table

Status	Error	Program
	13.2b	(/.f64 (exp.f64 (neg.f64 y)) x)
▶	10.0b	(/.f64 1 x)
	12.7b	(/.f64 1 (/.f64 x (pow.f64 (/.f64 x (+.f64 x y)) x)))

Compiler

Compiled 7659 to 2991 computations (60.9% saved)

localize2.0ms (0%)

prune2.0ms (0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

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

Error

0.0b

Counts

3 → 3

Alt Table

Status	Error	Program
	13.2b	(/.f64 (exp.f64 (neg.f64 y)) x)
✓	10.0b	(/.f64 1 x)
▶	12.7b	(/.f64 1 (/.f64 x (pow.f64 (/.f64 x (+.f64 x y)) x)))

Compiler

Compiled 45 to 30 computations (33.3% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(/.f64 x (+.f64 x y))
	6.8b	(pow.f64 (/.f64 x (+.f64 x y)) x)

prune94.0ms (1.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	118	1	119
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	118	4	122

Error

Counts

122 → 4

Alt Table

Status	Error	Program
	13.2b	(/.f64 1 (/.f64 x (exp.f64 (neg.f64 y))))
▶	13.2b	(/.f64 (exp.f64 (neg.f64 y)) x)
✓	10.0b	(/.f64 1 x)
✓	12.7b	(/.f64 1 (/.f64 x (pow.f64 (/.f64 x (+.f64 x y)) x)))

Compiler

Compiled 3502 to 1774 computations (49.3% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (exp.f64 (neg.f64 y)) x)

series7.0ms (0.1%)

Counts

1 → 8

Calls

1 calls:

7.0ms

(/.f64 (exp.f64 (neg.f64 y)) x)

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64`
9×	`times-frac_binary64`
9×	`add-sqr-sqrt_binary64`
9×	`add-cube-cbrt_binary64`
3×	`associate-/r*_binary64`

Counts

1 → 31

Calls

1 calls:

4.0ms

(/.f64 (exp.f64 (neg.f64 y)) x)

simplify69.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

998×	`fma-neg_binary64`
511×	`fma-def_binary64`
397×	`div-sub_binary64`
389×	`associate-/l*_binary64`
297×	`unswap-sqr_binary64`

Counts

39 → 46

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	75	565
1	149	524
2	369	516
3	905	516
4	2769	509
5	4190	509
6	5158	509

prune23.0ms (0.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	46	0	46
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	46	4	50

Error

Counts

50 → 4

Alt Table

Status	Error	Program
	13.2b	(/.f64 1 (/.f64 x (exp.f64 (neg.f64 y))))
✓	13.2b	(/.f64 (exp.f64 (neg.f64 y)) x)
✓	10.0b	(/.f64 1 x)
✓	12.7b	(/.f64 1 (/.f64 x (pow.f64 (/.f64 x (+.f64 x y)) x)))

Compiler

Compiled 571 to 205 computations (64.1% saved)

regimes284.0ms (5.8%)

Accuracy

Total 0.7b remaining (98%)

Threshold costs 0.7b (98%)

Counts

39 → 3

Compiler

Compiled 2705 to 1419 computations (47.5% saved)

bsearch49.0ms (1%)

Steps

Iters	Range		Point
8	1.661758644235962e-25	7.611971495810635e-22	7.511136759630404e-22
3	-9.322401014618437e+27	-1.6153400681778718e+25	-3.5238256452761174e+25

Compiler

Compiled 3 to 2 computations (33.3% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	35
1	22	35
2	24	35
3	25	35
4	24	35

end57.0ms (1.2%)

Compiler: Compiled 84 to 56 computations (33.3% saved)

Details

analyze780.0ms (15.8%)

sample3.0s (61.1%)

simplify48.0ms (1%)

prune3.0ms (0.1%)

localize5.0ms (0.1%)

series93.0ms (1.9%)

rewrite33.0ms (0.7%)

simplify187.0ms (3.8%)

prune167.0ms (3.4%)

localize2.0ms (0%)

prune2.0ms (0%)

localize7.0ms (0.1%)

prune94.0ms (1.9%)

localize4.0ms (0.1%)

series7.0ms (0.1%)

rewrite5.0ms (0.1%)

simplify69.0ms (1.4%)

prune23.0ms (0.5%)

regimes284.0ms (5.8%)

bsearch49.0ms (1%)

simplify3.0ms (0.1%)

end57.0ms (1.2%)

Profiling