Details

analyze1.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

Compiler

Compiled 24 to 18 computations (25% saved)

sample1.1s (67.8%)

Results

947.0ms

8256×

body

128

valid

Compiler

Compiled 65 to 49 computations (24.6% saved)

simplify162.0ms (10.1%)

Algorithm

1×	egg-herbie

Rules

793×	`distribute-rgt-neg-in_binary64`
625×	`unswap-sqr_binary64`
613×	`fma-def_binary64`
509×	`fma-neg_binary64`
441×	`cancel-sign-sub-inv_binary64`

Counts

1 → 2

Iterations

Useful iterations: 10 (0.0ms)

Iter	Nodes	Cost
0	13	22
1	28	20
2	75	20
3	154	20
4	415	20
5	1209	20
6	2435	20
7	3972	20
8	3824	20
9	4160	20
10	4405	18
11	3728	18
12	4698	18
13	4878	18
14	4722	18

prune3.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

52.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	52.0b	(+.f64 (-.f64 (.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) (.f64 2 (*.f64 y y)))

Compiler

Compiled 64 to 47 computations (26.6% saved)

localize8.0ms (0.5%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	23.0b	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

series17.0ms (1%)

Counts

1 → 6

Calls

1 calls:

16.0ms

(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

rewrite57.0ms (3.6%)

Algorithm

2×	batch-egg-rewrite

Rules

863×	`log1p-expm1-u_binary64`
863×	`expm1-log1p-u_binary64`
624×	`prod-diff_binary64`
91×	`add-sqr-sqrt_binary64`
89×	`egg-rr`

Counts

1 → 89

Calls

1 calls:

54.0ms

(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	201	13
2	2199	13
3	6345	13
0	0	0
1	0	0

simplify125.0ms (7.9%)

Algorithm

1×	egg-herbie

Rules

1103×	`fma-def_binary64`
652×	`fma-neg_binary64`
465×	`sqr-pow_binary64`
439×	`cube-prod_binary64`
408×	`unswap-sqr_binary64`

Counts

95 → 92

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	39
1	19	39
2	41	39
3	74	39
4	166	39
5	439	39
6	659	39
7	1262	39
8	1802	39
9	2493	39
10	3268	39
11	3693	39
12	4146	39
13	4507	39
14	4681	39
15	4857	39
16	4738	39

prune61.0ms (3.8%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	92	1	93

Error

Counts

93 → 1

Alt Table

Status	Error	Program
▶	0b	(+.f64 (.f64 (+.f64 (.f64 (.f64 x x) 3) (.f64 y y)) (-.f64 (.f64 (.f64 x x) 3) (.f64 y y))) (.f64 2 (*.f64 y y)))

Compiler

Compiled 2802 to 1826 computations (34.8% saved)

localize9.0ms (0.6%)

prune1.0ms (0.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	0	0
Total	1	1

Error

Counts

1 → 1

Alt Table

Status	Error	Program
✓	0b	(+.f64 (.f64 (+.f64 (.f64 (.f64 x x) 3) (.f64 y y)) (-.f64 (.f64 (.f64 x x) 3) (.f64 y y))) (.f64 2 (*.f64 y y)))

Compiler

Compiled 27 to 14 computations (48.1% saved)

regimes25.0ms (1.5%)

Accuracy

Total 0b remaining (0%)

Threshold costs 0b (0%)

Counts

3 → 1

Compiler

Compiled 551 to 361 computations (34.5% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	37
1	23	37
2	30	37
3	34	37
4	36	37
5	36	37

end41.0ms (2.6%)

Compiler: Compiled 81 to 42 computations (48.1% saved)

Details

analyze1.0ms (0.1%)

sample1.1s (67.8%)

simplify162.0ms (10.1%)

prune3.0ms (0.2%)

localize8.0ms (0.5%)

series17.0ms (1%)

rewrite57.0ms (3.6%)

simplify125.0ms (7.9%)

prune61.0ms (3.8%)

localize9.0ms (0.6%)

prune1.0ms (0.1%)

regimes25.0ms (1.5%)

simplify3.0ms (0.2%)

end41.0ms (2.6%)

Profiling