Details

analyze829.0ms (21.2%)

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)

sample63.0ms (1.6%)

Algorithm

1×

intervals

Results

21.0ms	48×	body	1024	valid
10.0ms	153×	body	128	valid
7.0ms	28×	body	512	valid
4.0ms	5×	body	2048	valid
4.0ms	22×	body	256	valid
3.0ms	13×	body	512	invalid
2.0ms	5×	body	1024	invalid
1.0ms	7×	body	128	invalid
0.0ms	3×	body	256	invalid
0.0ms	5×	body	128	nan

Compiler

Compiled 29 to 19 computations (34.5% saved)

simplify57.0ms (1.5%)

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

11.4b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	11.4b	(/.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))
✓	7.5b	(pow.f64 (/.f64 x (+.f64 x y)) x)

rewrite31.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-cube-cbrt_binary64`
10×	`add-exp-log_binary64`
10×	`add-cbrt-cube_binary64`
8×	`add-sqr-sqrt_binary64`
7×	`pow1_binary64`

Counts

2 → 85

Calls

2 calls:

17.0ms	(/.f64 x (+.f64 x y))
11.0ms	(pow.f64 (/.f64 x (+.f64 x y)) x)

series37.0ms (0.9%)

Counts

2 → 48

Calls

2 calls:

29.0ms	(pow.f64 (/.f64 x (+.f64 x y)) x)
7.0ms	(/.f64 x (+.f64 x y))

simplify142.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

308×	`fma-neg_binary64`
235×	`cancel-sign-sub-inv_binary64`
233×	`associate-r_binary64`
226×	`times-frac_binary64`
191×	`unswap-sqr_binary64`

Counts

133 → 195

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	295	2821
1	794	2723
2	3441	2519
3	4995	2519
4	5096	2519

prune80.0ms (2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	193	2	195
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	193	3	196

Error

0.0b

Counts

196 → 3

Alt Table

Status	Error	Program
	12.9b	(/.f64 (exp.f64 (neg.f64 y)) x)
▶	8.9b	(/.f64 1 x)
✓	11.4b	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)

Compiler

Compiled 3311 to 1582 computations (52.2% saved)

localize2.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
1	0	0

prune3.0ms (0.1%)

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
▶	12.9b	(/.f64 (exp.f64 (neg.f64 y)) x)
✓	8.9b	(/.f64 1 x)
✓	11.4b	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) 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)

rewrite14.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-cube-cbrt_binary64`
7×	`add-cbrt-cube_binary64`
4×	`times-frac_binary64`
4×	`add-exp-log_binary64`
4×	`pow1_binary64`

Counts

1 → 46

Calls

1 calls:

12.0ms

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

series20.0ms (0.5%)

Counts

1 → 8

Calls

1 calls:

20.0ms

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

simplify72.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

657×	`times-frac_binary64`
413×	`fma-neg_binary64`
317×	`associate-/l*_binary64`
312×	`fma-def_binary64`
308×	`cancel-sign-sub-inv_binary64`

Counts

54 → 77

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	71	529
1	151	470
2	543	466
3	3019	464
4	4900	464
5	5048	464

prune23.0ms (0.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	76	1	77
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	76	4	80

Error

Counts

80 → 4

Alt Table

Status	Error	Program
▶	21.9b	(-.f64 (/.f64 1 x) (/.f64 y x))
✓	11.4b	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
✓	12.9b	(/.f64 (exp.f64 (neg.f64 y)) x)
✓	8.9b	(/.f64 1 x)

Compiler

Compiled 645 to 203 computations (68.5% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 1 x) (/.f64 y x))

rewrite18.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-cube-cbrt_binary64`
6×	`frac-sub_binary64`
6×	`add-sqr-sqrt_binary64`
6×	`add-log-exp_binary64`
4×	`pow1_binary64`

Counts

1 → 49

Calls

1 calls:

15.0ms

(-.f64 (/.f64 1 x) (/.f64 y x))

series18.0ms (0.5%)

Counts

1 → 15

Calls

1 calls:

18.0ms

(-.f64 (/.f64 1 x) (/.f64 y x))

simplify87.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

933×	`fma-neg_binary64`
414×	`associate-l_binary64`
354×	`associate-r_binary64`
326×	`fma-def_binary64`
221×	`associate-*l/_binary64`

Counts

64 → 98

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	85	574
1	224	562
2	711	550
3	3080	550
4	4876	550
5	4838	550

prune48.0ms (1.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	98	4	102

Error

Counts

102 → 4

Alt Table

Status	Error	Program
✓	21.9b	(-.f64 (/.f64 1 x) (/.f64 y x))
✓	11.4b	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
✓	12.9b	(/.f64 (exp.f64 (neg.f64 y)) x)
✓	8.9b	(/.f64 1 x)

Compiler

Compiled 1388 to 600 computations (56.8% saved)

regimes53.0ms (1.3%)

Accuracy

Total 0.7b remaining (98.4%)

Threshold costs 0.7b (98.4%)

Compiler

Compiled 200 to 126 computations (37% saved)

bsearch47.0ms (1.2%)

Steps

Iters	Range		Point
9	1.3356573375598536e-15	1.0968642353199023e-8	1.0801525468184049e-8
3	-8.981294388207931e+87	-4.360103906573222e+84	-1.164053458746477e+85

Compiler

Compiled 3 to 2 computations (33.3% saved)

simplify5.0ms (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	15	26
1	23	26
2	25	26
3	26	26
4	25	26

end1.0ms (0%)

Compiler: Compiled 19 to 14 computations (26.3% saved)

sample2.2s (57.2%)

Algorithm

1×

intervals

Results

719.0ms	1694×	body	1024	valid
420.0ms	4564×	body	128	valid
279.0ms	1048×	body	512	valid
146.0ms	184×	body	2048	valid
89.0ms	510×	body	256	valid
81.0ms	177×	body	256	invalid
71.0ms	180×	body	1024	invalid
67.0ms	249×	body	512	invalid
15.0ms	207×	body	128	invalid
10.0ms	183×	body	128	nan

Compiler

Compiled 67 to 46 computations (31.3% saved)

Details

analyze829.0ms (21.2%)

sample63.0ms (1.6%)

simplify57.0ms (1.5%)

prune3.0ms (0.1%)

localize5.0ms (0.1%)

rewrite31.0ms (0.8%)

series37.0ms (0.9%)

simplify142.0ms (3.6%)

prune80.0ms (2%)

localize2.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify8.0ms (0.2%)

prune3.0ms (0.1%)

localize4.0ms (0.1%)

rewrite14.0ms (0.4%)

series20.0ms (0.5%)

simplify72.0ms (1.8%)

prune23.0ms (0.6%)

localize4.0ms (0.1%)

rewrite18.0ms (0.5%)

series18.0ms (0.5%)

simplify87.0ms (2.2%)

prune48.0ms (1.2%)

regimes53.0ms (1.3%)

bsearch47.0ms (1.2%)

simplify5.0ms (0.1%)

end1.0ms (0%)

sample2.2s (57.2%)

Profiling