Details

analyze141.0ms (6.6%)

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)

sample127.0ms (6%)

Algorithm

1×

intervals

Results

18.0ms	256×	body	128	valid
1.0ms	11×	body	128	invalid

Compiler

Compiled 21 to 17 computations (19% saved)

simplify61.0ms (2.9%)

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)

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))

series16.0ms (0.7%)

Counts

1 → 6

Calls

1 calls:

15.0ms

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

rewrite16.0ms (0.7%)

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))

simplify117.0ms (5.5%)

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

prune96.0ms (4.5%)

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
✓	0.0b	(-.f64 (pow.f64 x 4) (pow.f64 y 4))
▶	0.1b	(fma.f64 (pow.f64 x (/.f64 4 2)) (pow.f64 x (/.f64 4 2)) (neg.f64 (pow.f64 y 4)))

Compiler

Compiled 2770 to 2024 computations (26.9% saved)

localize9.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (pow.f64 x (/.f64 4 2)) (pow.f64 x (/.f64 4 2)) (neg.f64 (pow.f64 y 4)))

series18.0ms (0.8%)

Counts

1 → 24

Calls

1 calls:

17.0ms

(fma.f64 (pow.f64 x (/.f64 4 2)) (pow.f64 x (/.f64 4 2)) (neg.f64 (pow.f64 y 4)))

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 (pow.f64 x (/.f64 4 2)) (pow.f64 x (/.f64 4 2)) (neg.f64 (pow.f64 y 4)))

simplify77.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

355×	`exp-prod_binary64`
352×	`associate-l_binary64`
305×	`associate-r_binary64`
218×	`unswap-sqr_binary64`
205×	`distribute-rgt-out_binary64`

Counts

34 → 22

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	358
1	37	337
2	82	337
3	292	337
4	1694	337
5	4441	337
6	4894	337
7	4975	337

prune18.0ms (0.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	22	2	24

Error

Counts

24 → 2

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 (pow.f64 x 4) (pow.f64 y 4))
✓	0.1b	(fma.f64 (pow.f64 x (/.f64 4 2)) (pow.f64 x (/.f64 4 2)) (neg.f64 (pow.f64 y 4)))

Compiler

Compiled 393 to 316 computations (19.6% saved)

regimes69.0ms (3.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

10 → 1

Compiler

Compiled 1165 to 848 computations (27.2% saved)

simplify4.0ms (0.2%)

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

end1.0ms (0%)

Compiler: Compiled 9 to 7 computations (22.2% saved)

sample1.4s (63.7%)

Algorithm

1×

intervals

Results

1.0s	8000×	body	128	valid
19.0ms	297×	body	128	invalid

Compiler

Compiled 47 to 38 computations (19.1% saved)

Details

analyze141.0ms (6.6%)

sample127.0ms (6%)

simplify61.0ms (2.9%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

series16.0ms (0.7%)

rewrite16.0ms (0.7%)

simplify117.0ms (5.5%)

prune96.0ms (4.5%)

localize9.0ms (0.4%)

series18.0ms (0.8%)

rewrite1.0ms (0%)

simplify77.0ms (3.6%)

prune18.0ms (0.8%)

regimes69.0ms (3.2%)

simplify4.0ms (0.2%)

end1.0ms (0%)

sample1.4s (63.7%)

Profiling