Details

analyze164.0ms (5%)

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)

sample1.1s (34.2%)

Results

925.0ms	8256×	body	128	valid
41.0ms	349×	body	128	invalid

Compiler

Compiled 29 to 23 computations (20.7% saved)

simplify63.0ms (1.9%)

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 (0.1%)

Local error

Found 1 expressions with local error:

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

series18.0ms (0.5%)

Counts

1 → 6

Calls

1 calls:

18.0ms

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

rewrite13.0ms (0.4%)

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:

7.0ms

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

simplify111.0ms (3.4%)

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

prune80.0ms (2.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	94	2	96
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	94	3	97

Error

Counts

97 → 3

Alt Table

Status	Error	Program
▶	0.4b	(*.f64 (+.f64 (sqrt.f64 (pow.f64 x 4)) (sqrt.f64 (pow.f64 y 4))) (-.f64 (sqrt.f64 (pow.f64 x 4)) (sqrt.f64 (pow.f64 y 4))))
	0.4b	(.f64 (fma.f64 y y (.f64 x x)) (-.f64 (.f64 x x) (.f64 y y)))
✓	0.0b	(-.f64 (pow.f64 x 4) (pow.f64 y 4))

Compiler

Compiled 2810 to 2044 computations (27.3% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (sqrt.f64 (pow.f64 x 4)) (sqrt.f64 (pow.f64 y 4)))
✓	0.4b	(*.f64 (+.f64 (sqrt.f64 (pow.f64 x 4)) (sqrt.f64 (pow.f64 y 4))) (-.f64 (sqrt.f64 (pow.f64 x 4)) (sqrt.f64 (pow.f64 y 4))))
✓	10.5b	(sqrt.f64 (pow.f64 x 4))
✓	11.4b	(sqrt.f64 (pow.f64 y 4))

series31.0ms (0.9%)

Counts

4 → 72

Calls

4 calls:

19.0ms	(*.f64 (+.f64 (sqrt.f64 (pow.f64 x 4)) (sqrt.f64 (pow.f64 y 4))) (-.f64 (sqrt.f64 (pow.f64 x 4)) (sqrt.f64 (pow.f64 y 4))))
7.0ms	(-.f64 (sqrt.f64 (pow.f64 x 4)) (sqrt.f64 (pow.f64 y 4)))
2.0ms	(sqrt.f64 (pow.f64 y 4))
2.0ms	(sqrt.f64 (pow.f64 x 4))

rewrite122.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Rules

522×	`sqrt-prod_binary64`
300×	`prod-diff_binary64`
256×	`add-sqr-sqrt_binary64`
222×	`unpow-prod-down_binary64`
220×	`*-un-lft-identity_binary64`

Counts

4 → 466

Calls

4 calls:

26.0ms	(*.f64 (+.f64 (sqrt.f64 (pow.f64 x 4)) (sqrt.f64 (pow.f64 y 4))) (-.f64 (sqrt.f64 (pow.f64 x 4)) (sqrt.f64 (pow.f64 y 4))))
12.0ms	(-.f64 (sqrt.f64 (pow.f64 x 4)) (sqrt.f64 (pow.f64 y 4)))
2.0ms	(sqrt.f64 (pow.f64 x 4))
2.0ms	(sqrt.f64 (pow.f64 y 4))

simplify507.0ms (15.4%)

Algorithm

1×	egg-herbie

Rules

1271×	`fma-def_binary64`
729×	`unsub-neg_binary64`
550×	`sqr-pow_binary64`
543×	`exp-prod_binary64`
481×	`associate-r_binary64`

Counts

538 → 470

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	369	16892
1	889	14669
2	3274	8147
3	2661	5999
4	4426	5975
5	3744	5975
6	3704	5975
7	4955	5975
8	5896	5975

prune702.0ms (21.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	528	0	528
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	528	3	531

Error

Counts

531 → 3

Alt Table

Status	Error	Program
✓	0.4b	(*.f64 (+.f64 (sqrt.f64 (pow.f64 x 4)) (sqrt.f64 (pow.f64 y 4))) (-.f64 (sqrt.f64 (pow.f64 x 4)) (sqrt.f64 (pow.f64 y 4))))
▶	0.4b	(.f64 (fma.f64 y y (.f64 x x)) (-.f64 (.f64 x x) (.f64 y y)))
✓	0.0b	(-.f64 (pow.f64 x 4) (pow.f64 y 4))

Compiler

Compiled 23565 to 18200 computations (22.8% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 x x) (.f64 y y))
✓	0.4b	(.f64 (fma.f64 y y (.f64 x x)) (-.f64 (.f64 x x) (.f64 y y)))

series26.0ms (0.8%)

Counts

2 → 48

Calls

2 calls:

19.0ms	(.f64 (fma.f64 y y (.f64 x x)) (-.f64 (.f64 x x) (.f64 y y)))
7.0ms	(-.f64 (.f64 x x) (.f64 y y))

rewrite13.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64`
4×	`associate-r_binary64`
4×	`*-un-lft-identity_binary64`
4×	`add-cube-cbrt_binary64`
4×	`add-cbrt-cube_binary64`

Counts

2 → 46

Calls

2 calls:

6.0ms	(-.f64 (.f64 x x) (.f64 y y))
5.0ms	(.f64 (fma.f64 y y (.f64 x x)) (-.f64 (.f64 x x) (.f64 y y)))

simplify83.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

547×	`associate-l_binary64`
492×	`fma-neg_binary64`
473×	`associate-r_binary64`
466×	`distribute-rgt-in_binary64`
444×	`distribute-lft-in_binary64`

Counts

94 → 78

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	85	1294
1	192	1190
2	699	1163
3	3344	1142
4	4516	1142
5	5047	1142

prune40.0ms (1.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	78	3	81

Error

Counts

81 → 3

Alt Table

Status	Error	Program
✓	0.4b	(*.f64 (+.f64 (sqrt.f64 (pow.f64 x 4)) (sqrt.f64 (pow.f64 y 4))) (-.f64 (sqrt.f64 (pow.f64 x 4)) (sqrt.f64 (pow.f64 y 4))))
✓	0.4b	(.f64 (fma.f64 y y (.f64 x x)) (-.f64 (.f64 x x) (.f64 y y)))
✓	0.0b	(-.f64 (pow.f64 x 4) (pow.f64 y 4))

Compiler

Compiled 1618 to 349 computations (78.4% saved)

regimes47.0ms (1.4%)

Accuracy

Total 0.0b remaining (77.8%)

Threshold costs 0.0b (77.8%)

Counts

8 → 1

Compiler

Compiled 560 to 408 computations (27.1% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`*-commutative_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	9	10
2	14	10
3	16	10
4	17	10
5	17	10

end119.0ms (3.6%)

Compiler: Compiled 64 to 45 computations (29.7% saved)

Details

analyze164.0ms (5%)

sample1.1s (34.2%)

simplify63.0ms (1.9%)

prune2.0ms (0.1%)

localize5.0ms (0.1%)

series18.0ms (0.5%)

rewrite13.0ms (0.4%)

simplify111.0ms (3.4%)

prune80.0ms (2.4%)

localize8.0ms (0.3%)

series31.0ms (0.9%)

rewrite122.0ms (3.7%)

simplify507.0ms (15.4%)

prune702.0ms (21.4%)

localize7.0ms (0.2%)

series26.0ms (0.8%)

rewrite13.0ms (0.4%)

simplify83.0ms (2.5%)

prune40.0ms (1.2%)

regimes47.0ms (1.4%)

simplify2.0ms (0.1%)

end119.0ms (3.6%)

Profiling