Details

analyze828.0ms (17.7%)

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)

sample3.2s (67.7%)

Results

1.2s	1761×	body	1024	valid
698.0ms	4728×	body	128	valid
526.0ms	1065×	body	512	valid
189.0ms	537×	body	256	valid
161.0ms	165×	body	2048	valid
135.0ms	199×	body	1024	invalid
107.0ms	250×	body	512	invalid
52.0ms	439×	body	128	invalid
36.0ms	140×	body	256	invalid

Compiler

Compiled 41 to 26 computations (36.6% saved)

simplify47.0ms (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

11.5b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	11.5b	(/.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 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 x (+.f64 x y))
✓	6.3b	(pow.f64 (/.f64 x (+.f64 x y)) x)

series46.0ms (1%)

Counts

2 → 48

Calls

2 calls:

37.0ms	(pow.f64 (/.f64 x (+.f64 x y)) x)
9.0ms	(/.f64 x (+.f64 x y))

rewrite13.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64`
24×	`times-frac_binary64`
20×	`add-sqr-sqrt_binary64`
20×	`add-cube-cbrt_binary64`
18×	`unpow-prod-down_binary64`

Counts

2 → 70

Calls

2 calls:

6.0ms	(pow.f64 (/.f64 x (+.f64 x y)) x)
3.0ms	(/.f64 x (+.f64 x y))

simplify108.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

276×	`fma-neg_binary64`
228×	`cancel-sign-sub-inv_binary64`
183×	`fma-def_binary64`
179×	`sub-neg_binary64`
176×	`times-frac_binary64`

Counts

118 → 119

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	315	3123
1	859	2987
2	3234	2833
3	4908	2833
4	4986	2833

prune106.0ms (2.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	117	2	119
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	117	3	120

Error

0.0b

Counts

120 → 3

Alt Table

Status	Error	Program
	14.7b	(/.f64 (exp.f64 (neg.f64 y)) x)
✓	11.5b	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
▶	7.8b	(/.f64 1 x)

Compiler

Compiled 3186 to 1541 computations (51.6% saved)

localize2.0ms (0%)

prune2.0ms (0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Error

0.0b

Counts

3 → 3

Alt Table

Status	Error	Program
▶	14.7b	(/.f64 (exp.f64 (neg.f64 y)) x)
✓	11.5b	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
✓	7.8b	(/.f64 1 x)

Compiler

Compiled 30 to 20 computations (33.3% 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)

series10.0ms (0.2%)

Counts

1 → 8

Calls

1 calls:

10.0ms

(/.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)

simplify70.0ms (1.5%)

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

prune27.0ms (0.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	45	1	46
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	46	3	49

Error

Counts

49 → 3

Alt Table

Status	Error	Program
✓	11.5b	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
✓	7.8b	(/.f64 1 x)
▶	14.7b	(/.f64 1 (*.f64 x (exp.f64 y)))

Compiler

Compiled 569 to 203 computations (64.3% saved)

localize5.0ms (0.1%)

prune2.0ms (0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

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

Error

Counts

3 → 3

Alt Table

Status	Error	Program
✓	11.5b	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
✓	7.8b	(/.f64 1 x)
✓	14.7b	(/.f64 1 (*.f64 x (exp.f64 y)))

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes90.0ms (1.9%)

Accuracy

Total 0.6b remaining (96.5%)

Threshold costs 0.6b (96.5%)

Counts

15 → 3

Compiler

Compiled 551 to 360 computations (34.7% saved)

bsearch81.0ms (1.7%)

Steps

Iters	Range		Point
9	0.0077179665079226325	873.9390015362854	0.6658307847861302
4	-8.55714274996729e+74	-3.6038363111241337e+73	-4.4195987562608264e+73

Compiler

Compiled 3 to 2 computations (33.3% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
1×	`+-commutative_binary64`
1×	`/-rgt-identity_binary64`
1×	`sub-neg_binary64`
1×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	44
1	28	44
2	30	44
3	31	44
4	30	44

end55.0ms (1.2%)

Compiler: Compiled 84 to 54 computations (35.7% saved)

Details

analyze828.0ms (17.7%)

sample3.2s (67.7%)

simplify47.0ms (1%)

prune3.0ms (0.1%)

localize5.0ms (0.1%)

series46.0ms (1%)

rewrite13.0ms (0.3%)

simplify108.0ms (2.3%)

prune106.0ms (2.3%)

localize2.0ms (0%)

prune2.0ms (0%)

localize4.0ms (0.1%)

series10.0ms (0.2%)

rewrite5.0ms (0.1%)

simplify70.0ms (1.5%)

prune27.0ms (0.6%)

localize5.0ms (0.1%)

prune2.0ms (0%)

regimes90.0ms (1.9%)

bsearch81.0ms (1.7%)

simplify5.0ms (0.1%)

end55.0ms (1.2%)

Profiling