Details

analyze128.0ms (5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
50%	50%	0.1%	2
50%	50%	0.1%	3
50%	50%	0.1%	4
62.4%	37.5%	0.1%	5
68.7%	31.2%	0.1%	6
68.7%	18.7%	12.6%	7
71.8%	15.6%	12.6%	8
71.8%	9.4%	18.8%	9
73.4%	7.8%	18.8%	10
73.4%	4.7%	22%	11
74.1%	3.9%	22%	12
74.1%	2.3%	23.5%	13
74.5%	2%	23.5%	14

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample22.0ms (0.9%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
3.0ms	118×	body	128	invalid

Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify94.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

457×	`associate-l_binary64`
414×	`associate-*l/_binary64`
380×	`sqr-pow_binary64`
368×	`unswap-sqr_binary64`
321×	`exp-prod_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	9	9
2	13	9
3	22	9
4	48	9
5	110	9
6	268	9
7	777	9
8	1444	9
9	2361	9
10	2675	9
11	3160	9
12	4242	9
13	4964	9
14	4781	9

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.0b	(.f64 x (exp.f64 (.f64 y y)))

Compiler

Compiled 24 to 15 computations (37.5% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series14.0ms (0.5%)

Counts

2 → 36

Calls

2 calls:

11.0ms	(.f64 x (exp.f64 (.f64 y y)))
2.0ms	(exp.f64 (*.f64 y y))

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64`
4×	`add-cube-cbrt_binary64`
4×	`add-cbrt-cube_binary64`
4×	`pow1_binary64`

Counts

2 → 32

Calls

2 calls:

3.0ms	(.f64 x (exp.f64 (.f64 y y)))
1.0ms	(exp.f64 (*.f64 y y))

simplify113.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

775×	`fma-def_binary64`
515×	`distribute-rgt-out_binary64`
343×	`distribute-rgt-in_binary64`
316×	`*-commutative_binary64`
302×	`distribute-lft-in_binary64`

Counts

68 → 59

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	66	688
1	138	631
2	387	624
3	888	620
4	1789	620
5	3558	620
6	4544	620
7	4896	620

prune29.0ms (1.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	57	2	59
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	58	2	60

Error

0.0b

Counts

60 → 2

Alt Table

Status	Error	Program
▶	0.0b	(*.f64 x (pow.f64 (exp.f64 y) y))
	0.4b	(+.f64 (*.f64 (pow.f64 y 2) x) x)

Compiler

Compiled 680 to 245 computations (64% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (pow.f64 (exp.f64 y) y))
✓	0.0b	(pow.f64 (exp.f64 y) y)

series255.0ms (9.9%)

Counts

2 → 36

Calls

2 calls:

253.0ms	(*.f64 x (pow.f64 (exp.f64 y) y))
3.0ms	(pow.f64 (exp.f64 y) y)

rewrite8.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64`
8×	`*-un-lft-identity_binary64`
8×	`add-cube-cbrt_binary64`
7×	`associate-r_binary64`
7×	`unpow-prod-down_binary64`

Counts

2 → 49

Calls

2 calls:

4.0ms	(*.f64 x (pow.f64 (exp.f64 y) y))
2.0ms	(pow.f64 (exp.f64 y) y)

simplify75.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

876×	`fma-def_binary64`
377×	`associate-l_binary64`
317×	`associate-r_binary64`
306×	`distribute-rgt-in_binary64`
282×	`distribute-lft-in_binary64`

Counts

85 → 90

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	94	889
1	192	837
2	555	830
3	1530	824
4	4236	822
5	4950	822

prune42.0ms (1.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	89	3	92

Error

Counts

92 → 3

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 x (pow.f64 (exp.f64 y) y))
	0.4b	(+.f64 (*.f64 (pow.f64 y 2) x) x)
▶	0.0b	(.f64 (.f64 x (sqrt.f64 (pow.f64 (exp.f64 y) y))) (sqrt.f64 (pow.f64 (exp.f64 y) y)))

Compiler

Compiled 1070 to 374 computations (65% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (pow.f64 (exp.f64 y) y))
✓	0.0b	(*.f64 x (sqrt.f64 (pow.f64 (exp.f64 y) y)))
✓	0.0b	(.f64 (.f64 x (sqrt.f64 (pow.f64 (exp.f64 y) y))) (sqrt.f64 (pow.f64 (exp.f64 y) y)))
	0.0b	(pow.f64 (exp.f64 y) y)

series650.0ms (25.1%)

Counts

3 → 60

Calls

3 calls:

301.0ms	(*.f64 x (sqrt.f64 (pow.f64 (exp.f64 y) y)))
241.0ms	(.f64 (.f64 x (sqrt.f64 (pow.f64 (exp.f64 y) y))) (sqrt.f64 (pow.f64 (exp.f64 y) y)))
108.0ms	(sqrt.f64 (pow.f64 (exp.f64 y) y))

rewrite19.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`sqrt-prod_binary64`
21×	`add-sqr-sqrt_binary64`
20×	`associate-r_binary64`
12×	`*-un-lft-identity_binary64`
12×	`add-cube-cbrt_binary64`

Counts

3 → 78

Calls

3 calls:

7.0ms	(.f64 (.f64 x (sqrt.f64 (pow.f64 (exp.f64 y) y))) (sqrt.f64 (pow.f64 (exp.f64 y) y)))
5.0ms	(*.f64 x (sqrt.f64 (pow.f64 (exp.f64 y) y)))
2.0ms	(sqrt.f64 (pow.f64 (exp.f64 y) y))

simplify84.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

764×	`fma-def_binary64`
639×	`distribute-rgt-in_binary64`
579×	`distribute-lft-in_binary64`
474×	`unswap-sqr_binary64`
259×	`*-commutative_binary64`

Counts

138 → 139

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	126	1788
1	284	1700
2	819	1641
3	1280	1624
4	2307	1624
5	5053	1624

prune148.0ms (5.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	256	1	257
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	257	3	260

Error

Counts

260 → 3

Alt Table

Status	Error	Program
▶	0.4b	(fma.f64 (*.f64 y y) x x)
✓	0.0b	(*.f64 x (pow.f64 (exp.f64 y) y))
✓	0.0b	(.f64 (.f64 x (sqrt.f64 (pow.f64 (exp.f64 y) y))) (sqrt.f64 (pow.f64 (exp.f64 y) y)))

Compiler

Compiled 4705 to 1187 computations (74.8% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 (*.f64 y y) x x)

series9.0ms (0.4%)

Counts

1 → 24

Calls

1 calls:

9.0ms

(fma.f64 (*.f64 y y) x x)

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

1×	`*-un-lft-identity_binary64`
1×	`add-sqr-sqrt_binary64`
1×	`add-cube-cbrt_binary64`
1×	`add-cbrt-cube_binary64`
1×	`add-exp-log_binary64`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma.f64 (*.f64 y y) x x)

simplify67.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

792×	`distribute-rgt-in_binary64`
743×	`distribute-lft-in_binary64`
386×	`associate-/l*_binary64`
315×	`associate-l_binary64`
278×	`*-commutative_binary64`

Counts

34 → 24

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	310
1	33	293
2	93	293
3	299	293
4	1008	293
5	2959	293
6	3626	293
7	5141	293

prune10.0ms (0.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	24	0	24
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	24	3	27

Error

Counts

27 → 3

Alt Table

Status	Error	Program
✓	0.4b	(fma.f64 (*.f64 y y) x x)
✓	0.0b	(*.f64 x (pow.f64 (exp.f64 y) y))
✓	0.0b	(.f64 (.f64 x (sqrt.f64 (pow.f64 (exp.f64 y) y))) (sqrt.f64 (pow.f64 (exp.f64 y) y)))

Compiler

Compiled 264 to 73 computations (72.3% saved)

regimes71.0ms (2.7%)

Accuracy

Total 0.0b remaining (54.1%)

Threshold costs 0.0b (54.1%)

Counts

8 → 1

Compiler

Compiled 467 to 272 computations (41.8% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	7	9
2	7	9

end0.0ms (0%)

Compiler: Compiled 8 to 5 computations (37.5% saved)

sample715.0ms (27.7%)

Algorithm

1×

intervals

Results

269.0ms	8000×	body	128	valid
115.0ms	4321×	body	128	invalid

Compiler

Compiled 50 to 29 computations (42% saved)

Details

analyze128.0ms (5%)

sample22.0ms (0.9%)

simplify94.0ms (3.6%)

prune1.0ms (0.1%)

localize4.0ms (0.2%)

series14.0ms (0.5%)

rewrite6.0ms (0.2%)

simplify113.0ms (4.4%)

prune29.0ms (1.1%)

localize5.0ms (0.2%)

series255.0ms (9.9%)

rewrite8.0ms (0.3%)

simplify75.0ms (2.9%)

prune42.0ms (1.6%)

localize7.0ms (0.3%)

series650.0ms (25.1%)

rewrite19.0ms (0.7%)

simplify84.0ms (3.3%)

prune148.0ms (5.7%)

localize4.0ms (0.1%)

series9.0ms (0.4%)

rewrite1.0ms (0%)

simplify67.0ms (2.6%)

prune10.0ms (0.4%)

regimes71.0ms (2.7%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample715.0ms (27.7%)

Profiling