Details

analyze108.0ms (5.9%)

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
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
37.5%	40.6%	22%	7
43.7%	32.8%	23.5%	8
43.7%	21.1%	35.2%	9
46.8%	16.8%	36.4%	10
46.8%	10.7%	42.4%	11
48.4%	8.5%	43.1%	12
48.4%	5.4%	46.2%	13
49.2%	4.3%	46.6%	14

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample845.0ms (45.8%)

Results

704.0ms	8256×	body	128	valid
45.0ms	541×	body	128	invalid

Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify87.0ms (4.7%)

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

prune2.0ms (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))

series13.0ms (0.7%)

Counts

2 → 36

Calls

2 calls:

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

rewrite5.0ms (0.3%)

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))

simplify78.0ms (4.2%)

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

prune32.0ms (1.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	57	2	59
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	57	3	60

Error

0.0b

Counts

60 → 3

Alt Table

Status	Error	Program
✓	0.0b	(.f64 x (exp.f64 (.f64 y y)))
▶	0.0b	(*.f64 x (pow.f64 (exp.f64 y) y))
	0.5b	(+.f64 (*.f64 (pow.f64 y 2) x) x)

Compiler

Compiled 688 to 250 computations (63.7% saved)

localize14.0ms (0.8%)

Local error

Found 2 expressions with local error:

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

series249.0ms (13.5%)

Counts

2 → 36

Calls

2 calls:

247.0ms	(*.f64 x (pow.f64 (exp.f64 y) y))
2.0ms	(pow.f64 (exp.f64 y) y)

rewrite7.0ms (0.4%)

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)

simplify69.0ms (3.7%)

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 → 89

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

prune58.0ms (3.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	86	3	89
Fresh	1	0	1
Picked	1	0	1
Done	1	0	1
Total	89	3	92

Error

0.0b

Counts

92 → 3

Alt Table

Status	Error	Program
	1.5b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (pow.f64 (exp.f64 y) y)))
	0.5b	(fma.f64 (*.f64 y y) x x)
▶	0.0b	(.f64 1 (.f64 (exp.f64 (*.f64 y y)) x))

Compiler

Compiled 1063 to 377 computations (64.5% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series16.0ms (0.9%)

Counts

1 → 24

Calls

1 calls:

16.0ms

(*.f64 (exp.f64 (*.f64 y y)) x)

rewrite4.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`
3×	`*-un-lft-identity_binary64`
3×	`add-cube-cbrt_binary64`

Counts

1 → 20

Calls

1 calls:

3.0ms

(*.f64 (exp.f64 (*.f64 y y)) x)

simplify71.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

534×	`fma-def_binary64`
444×	`distribute-rgt-out_binary64`
377×	`distribute-rgt-in_binary64`
316×	`distribute-lft-in_binary64`
294×	`unswap-sqr_binary64`

Counts

44 → 38

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	53	496
1	120	462
2	305	456
3	751	453
4	1769	453
5	2817	453
6	4427	453
7	4996	453

prune30.0ms (1.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	58	3	61

Error

0.0b

Counts

61 → 3

Alt Table

Status	Error	Program
	1.5b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (pow.f64 (exp.f64 y) y)))
▶	0.5b	(fma.f64 (*.f64 y y) x x)
✓	0.0b	(.f64 1 (.f64 (exp.f64 (*.f64 y y)) x))

Compiler

Compiled 810 to 365 computations (54.9% saved)

localize3.0ms (0.2%)

prune2.0ms (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
	1.5b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (pow.f64 (exp.f64 y) y)))
✓	0.5b	(fma.f64 (*.f64 y y) x x)
✓	0.0b	(.f64 1 (.f64 (exp.f64 (*.f64 y y)) x))

Compiler

Compiled 33 to 19 computations (42.4% saved)

regimes93.0ms (5%)

Accuracy

Total 0.0b remaining (13.7%)

Threshold costs 0.0b (13.7%)

Counts

20 → 1

Compiler

Compiled 1409 to 779 computations (44.7% 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

end48.0ms (2.6%)

Compiler: Compiled 49 to 29 computations (40.8% saved)

Details

analyze108.0ms (5.9%)

sample845.0ms (45.8%)

simplify87.0ms (4.7%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

series13.0ms (0.7%)

rewrite5.0ms (0.3%)

simplify78.0ms (4.2%)

prune32.0ms (1.7%)

localize14.0ms (0.8%)

series249.0ms (13.5%)

rewrite7.0ms (0.4%)

simplify69.0ms (3.7%)

prune58.0ms (3.1%)

localize5.0ms (0.3%)

series16.0ms (0.9%)

rewrite4.0ms (0.2%)

simplify71.0ms (3.8%)

prune30.0ms (1.6%)

localize3.0ms (0.2%)

prune2.0ms (0.1%)

regimes93.0ms (5%)

simplify2.0ms (0.1%)

end48.0ms (2.6%)

Profiling