Details

analyze169.0ms (9.1%)

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 (59.2%)

Results

953.0ms	8256×	body	128	valid
38.0ms	340×	body	128	invalid

Compiler

Compiled 29 to 23 computations (20.7% saved)

simplify60.0ms (3.2%)

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)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series13.0ms (0.7%)

Counts

1 → 6

Calls

1 calls:

13.0ms

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

rewrite15.0ms (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:

8.0ms

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

simplify108.0ms (5.8%)

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

prune91.0ms (4.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Error

Counts

97 → 2

Alt Table

Status	Error	Program
▶	0.1b	(fma.f64 (sqrt.f64 (pow.f64 x 4)) (sqrt.f64 (pow.f64 x 4)) (neg.f64 (pow.f64 y 4)))
✓	0.0b	(-.f64 (pow.f64 x 4) (pow.f64 y 4))

Compiler

Compiled 2766 to 2020 computations (27% saved)

localize8.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (sqrt.f64 (pow.f64 x 4)) (sqrt.f64 (pow.f64 x 4)) (neg.f64 (pow.f64 y 4)))
✓	13.9b	(sqrt.f64 (pow.f64 x 4))

series18.0ms (1%)

Counts

2 → 36

Calls

2 calls:

16.0ms	(fma.f64 (sqrt.f64 (pow.f64 x 4)) (sqrt.f64 (pow.f64 x 4)) (neg.f64 (pow.f64 y 4)))
2.0ms	(sqrt.f64 (pow.f64 x 4))

rewrite3.0ms (0.2%)

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)))

simplify81.0ms (4.3%)

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

prune62.0ms (3.3%)

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	(fma.f64 (sqrt.f64 (pow.f64 x 4)) (sqrt.f64 (pow.f64 x 4)) (neg.f64 (pow.f64 y 4)))
✓	0.0b	(-.f64 (pow.f64 x 4) (pow.f64 y 4))

Compiler

Compiled 1361 to 1025 computations (24.7% saved)

regimes75.0ms (4%)

Accuracy

Total 0.0b remaining (5.3%)

Threshold costs 0.0b (5.3%)

Counts

13 → 1

Compiler

Compiled 1315 to 973 computations (26% 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

end51.0ms (2.7%)

Compiler: Compiled 42 to 33 computations (21.4% saved)

Details

analyze169.0ms (9.1%)

sample1.1s (59.2%)

simplify60.0ms (3.2%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

series13.0ms (0.7%)

rewrite15.0ms (0.8%)

simplify108.0ms (5.8%)

prune91.0ms (4.9%)

localize8.0ms (0.4%)

series18.0ms (1%)

rewrite3.0ms (0.2%)

simplify81.0ms (4.3%)

prune62.0ms (3.3%)

regimes75.0ms (4%)

simplify2.0ms (0.1%)

end51.0ms (2.7%)

Profiling