Details

analyze178.0ms (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
25%	74.9%	0.1%	5
25%	62.4%	12.6%	6
25%	40.6%	34.4%	7
25%	32.8%	42.2%	8
25%	23.4%	51.6%	9
28.1%	18%	54%	10
31.6%	11.5%	56.9%	11
33.4%	8.9%	57.8%	12
35.2%	5.7%	59.1%	13
36.1%	4.4%	59.4%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample124.0ms (5.5%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	128	valid
1.0ms	16×	body	128	invalid

Compiler

Compiled 21 to 17 computations (19% saved)

simplify67.0ms (3%)

Algorithm

1×	egg-herbie

Rules

741×	`neg-mul-1_binary64`
643×	`distribute-rgt-neg-in_binary64`
432×	`unswap-sqr_binary64`
377×	`fma-def_binary64`
290×	`*-commutative_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	15	10
2	36	10
3	76	10
4	206	10
5	681	10
6	1823	10
7	3044	10
8	4813	10
9	5361	10

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 (pow.f64 x 4) (pow.f64 y 4))

Compiler

Compiled 27 to 21 computations (22.2% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (pow.f64 x 4) (pow.f64 y 4))

series14.0ms (0.6%)

Counts

1 → 6

Calls

1 calls:

14.0ms

(-.f64 (pow.f64 x 4) (pow.f64 y 4))

rewrite19.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

56×	`unpow-prod-down_binary64`
49×	`prod-diff_binary64`
45×	`add-sqr-sqrt_binary64`
37×	`*-un-lft-identity_binary64`
33×	`add-cube-cbrt_binary64`

Counts

1 → 87

Calls

1 calls:

12.0ms

(-.f64 (pow.f64 x 4) (pow.f64 y 4))

simplify118.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

816×	`fma-def_binary64`
452×	`fma-neg_binary64`
444×	`difference-of-squares_binary64`
254×	`distribute-rgt-in_binary64`
240×	`sqr-pow_binary64`

Counts

93 → 96

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	142	4586
1	255	3379
2	717	1542
3	1291	1032
4	2996	1026
5	4850	1026
6	4717	1026

prune117.0ms (5.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	94	2	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	95	2	97

Error

Counts

97 → 2

Alt Table

Status	Error	Program
▶	0.1b	(+.f64 (pow.f64 x 4) (*.f64 (neg.f64 (sqrt.f64 (pow.f64 y 4))) (sqrt.f64 (pow.f64 y 4))))
	0.2b	(fma.f64 (sqrt.f64 (pow.f64 x 4)) (sqrt.f64 (pow.f64 x 4)) (neg.f64 (pow.f64 y 4)))

Compiler

Compiled 2789 to 2039 computations (26.9% saved)

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (pow.f64 x 4) (*.f64 (neg.f64 (sqrt.f64 (pow.f64 y 4))) (sqrt.f64 (pow.f64 y 4))))
✓	0.2b	(*.f64 (neg.f64 (sqrt.f64 (pow.f64 y 4))) (sqrt.f64 (pow.f64 y 4)))
✓	13.9b	(sqrt.f64 (pow.f64 y 4))

series21.0ms (1%)

Counts

3 → 48

Calls

3 calls:

16.0ms	(+.f64 (pow.f64 x 4) (*.f64 (neg.f64 (sqrt.f64 (pow.f64 y 4))) (sqrt.f64 (pow.f64 y 4))))
3.0ms	(*.f64 (neg.f64 (sqrt.f64 (pow.f64 y 4))) (sqrt.f64 (pow.f64 y 4)))
2.0ms	(sqrt.f64 (pow.f64 y 4))

rewrite20.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`sqrt-prod_binary64`
26×	`add-sqr-sqrt_binary64`
24×	`associate-l_binary64`
17×	`*-un-lft-identity_binary64`
17×	`unpow-prod-down_binary64`

Counts

3 → 94

Calls

3 calls:

10.0ms	(*.f64 (neg.f64 (sqrt.f64 (pow.f64 y 4))) (sqrt.f64 (pow.f64 y 4)))
3.0ms	(+.f64 (pow.f64 x 4) (*.f64 (neg.f64 (sqrt.f64 (pow.f64 y 4))) (sqrt.f64 (pow.f64 y 4))))
2.0ms	(sqrt.f64 (pow.f64 y 4))

simplify104.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

862×	`fma-def_binary64`
569×	`unsub-neg_binary64`
374×	`distribute-rgt-in_binary64`
318×	`distribute-lft-in_binary64`
229×	`neg-sub0_binary64`

Counts

142 → 146

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	109	1487
1	257	1443
2	706	1101
3	1564	1098
4	4077	1098
5	4854	1098
6	4849	1098

prune154.0ms (6.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	177	0	177
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	177	2	179

Error

Counts

179 → 2

Alt Table

Status	Error	Program
✓	0.1b	(+.f64 (pow.f64 x 4) (*.f64 (neg.f64 (sqrt.f64 (pow.f64 y 4))) (sqrt.f64 (pow.f64 y 4))))
▶	0.2b	(fma.f64 (sqrt.f64 (pow.f64 x 4)) (sqrt.f64 (pow.f64 x 4)) (neg.f64 (pow.f64 y 4)))

Compiler

Compiled 3402 to 2575 computations (24.3% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f64 (sqrt.f64 (pow.f64 x 4)) (sqrt.f64 (pow.f64 x 4)) (neg.f64 (pow.f64 y 4)))
✓	13.7b	(sqrt.f64 (pow.f64 x 4))

series20.0ms (0.9%)

Counts

2 → 36

Calls

2 calls:

17.0ms	(fma.f64 (sqrt.f64 (pow.f64 x 4)) (sqrt.f64 (pow.f64 x 4)) (neg.f64 (pow.f64 y 4)))
3.0ms	(sqrt.f64 (pow.f64 x 4))

rewrite3.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`sqrt-prod_binary64`
6×	`add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64`
4×	`unpow-prod-down_binary64`
4×	`add-cube-cbrt_binary64`

Counts

2 → 31

Calls

2 calls:

2.0ms	(sqrt.f64 (pow.f64 x 4))
0.0ms	(fma.f64 (sqrt.f64 (pow.f64 x 4)) (sqrt.f64 (pow.f64 x 4)) (neg.f64 (pow.f64 y 4)))

simplify82.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

429×	`exp-prod_binary64`
399×	`associate-l_binary64`
346×	`associate-r_binary64`
201×	`distribute-rgt-out_binary64`
198×	`associate-+l+_binary64`

Counts

67 → 52

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	50	593
1	71	569
2	138	491
3	360	488
4	1930	472
5	4317	472
6	4710	472
7	4902	472

prune63.0ms (2.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	82	2	84

Error

Counts

84 → 2

Alt Table

Status	Error	Program
✓	0.1b	(+.f64 (pow.f64 x 4) (*.f64 (neg.f64 (sqrt.f64 (pow.f64 y 4))) (sqrt.f64 (pow.f64 y 4))))
✓	0.2b	(fma.f64 (sqrt.f64 (pow.f64 x 4)) (sqrt.f64 (pow.f64 x 4)) (neg.f64 (pow.f64 y 4)))

Compiler

Compiled 1368 to 1031 computations (24.6% saved)

regimes369.0ms (16.5%)

Accuracy

Total 0.0b remaining (31.8%)

Threshold costs 0.0b (31.8%)

Counts

74 → 1

Compiler

Compiled 7262 to 5701 computations (21.5% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`distribute-rgt-neg-in_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	28
1	22	28
2	24	28
3	25	28
4	23	28

end1.0ms (0%)

Compiler: Compiled 21 to 17 computations (19% saved)

sample731.0ms (32.8%)

Algorithm

1×

intervals

Results

431.0ms	8000×	body	128	valid
22.0ms	344×	body	128	invalid

Compiler

Compiled 64 to 52 computations (18.8% saved)

Details

analyze178.0ms (8%)

sample124.0ms (5.5%)

simplify67.0ms (3%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

series14.0ms (0.6%)

rewrite19.0ms (0.8%)

simplify118.0ms (5.3%)

prune117.0ms (5.3%)

localize8.0ms (0.4%)

series21.0ms (1%)

rewrite20.0ms (0.9%)

simplify104.0ms (4.7%)

prune154.0ms (6.9%)

localize7.0ms (0.3%)

series20.0ms (0.9%)

rewrite3.0ms (0.1%)

simplify82.0ms (3.7%)

prune63.0ms (2.8%)

regimes369.0ms (16.5%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample731.0ms (32.8%)

Profiling