Details

analyze7.0ms (0.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
87.5%	12.5%	0%	4
93.7%	6.2%	0%	5
96.8%	3.1%	0%	6
98.4%	1.6%	0%	7
99.2%	0.8%	0%	8
99.6%	0.4%	0%	9
99.8%	0.2%	0%	10
99.9%	0.1%	0%	11
99.9%	0%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 7 to 5 computations (28.6% saved)

sample770.0ms (57.8%)

Results

738.0ms

8256×

body

128

valid

Compiler

Compiled 20 to 14 computations (30% saved)

simplify7.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

11×	`sub-neg_binary64`
7×	`+-commutative_binary64`
6×	`fma-def_binary64`
4×	`div-sub_binary64`
3×	`associate-+l-_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	9	7
2	13	7
3	19	7
4	26	7
5	36	7
6	46	7
7	61	7
8	68	7
9	71	7
10	72	7
11	52	7

prune1.0ms (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 x (-.f64 1 x))

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 x (-.f64 1 x))

series2.0ms (0.2%)

Counts

1 → 12

Calls

1 calls:

2.0ms

(/.f64 x (-.f64 1 x))

rewrite71.0ms (5.3%)

Algorithm

2×	batch-egg-rewrite

Rules

568×	`log1p-expm1-u_binary64`
568×	`expm1-log1p-u_binary64`
257×	`log-prod_binary64`
239×	`prod-diff_binary64`
96×	`expm1-udef_binary64`

Counts

1 → 40

Calls

1 calls:

70.0ms

(/.f64 x (-.f64 1 x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	108	7
2	1412	7
3	4847	7
4	5037	7
0	0	0
1	0	0

simplify68.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

557×	`fma-neg_binary64`
529×	`associate-l_binary64`
508×	`div-sub_binary64`
406×	`cancel-sign-sub-inv_binary64`
368×	`associate-r_binary64`

Counts

52 → 54

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	150
1	71	132
2	198	125
3	501	125
4	1224	125
5	2949	125
6	4207	125
7	4933	125

prune29.0ms (2.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	53	1	54
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	2	55

Error

Counts

55 → 2

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 x (-.f64 1 x))
▶	19.7b	(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))

Compiler

Compiled 578 to 397 computations (31.3% saved)

localize10.0ms (0.8%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (fma.f64 x x x))
✓	4.3b	(/.f64 x (-.f64 1 (pow.f64 x 3)))
✓	15.2b	(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))

series8.0ms (0.6%)

Counts

3 → 36

Calls

3 calls:

3.0ms	(/.f64 x (-.f64 1 (pow.f64 x 3)))
2.0ms	(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
2.0ms	(+.f64 1 (fma.f64 x x x))

rewrite89.0ms (6.7%)

Algorithm

2×	batch-egg-rewrite

Rules

933×	`prod-diff_binary64`
191×	`log1p-udef_binary64`
124×	`egg-rr`
111×	`add-sqr-sqrt_binary64`
107×	`log1p-expm1-u_binary64`

Counts

3 → 124

Calls

3 calls:

86.0ms	(+.f64 1 (fma.f64 x x x))
86.0ms	(/.f64 x (-.f64 1 (pow.f64 x 3)))
86.0ms	(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	228	38
2	2970	38
3	5019	38
0	0	0
1	0	0

simplify85.0ms (6.4%)

Algorithm

1×	egg-herbie

Rules

558×	`unswap-sqr_binary64`
543×	`fma-def_binary64`
530×	`times-frac_binary64`
370×	`fma-neg_binary64`
362×	`sub-neg_binary64`

Counts

160 → 159

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	57	453
1	157	407
2	415	400
3	1016	400
4	2600	400
5	4476	400
6	4932	400
7	4933	400

prune96.0ms (7.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	159	2	161

Error

Counts

161 → 2

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 x (-.f64 1 x))
✓	19.7b	(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))

Compiler

Compiled 3157 to 1940 computations (38.5% saved)

regimes40.0ms (3%)

Accuracy

Total 0.0b remaining (69.2%)

Threshold costs 0.0b (69.2%)

Counts

20 → 1

Compiler

Compiled 418 to 294 computations (29.7% saved)

simplify2.0ms (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	5	7
1	9	7
2	13	7
3	15	7
4	16	7
5	15	7

end44.0ms (3.3%)

Compiler: Compiled 33 to 22 computations (33.3% saved)

Details

analyze7.0ms (0.5%)

sample770.0ms (57.8%)

simplify7.0ms (0.6%)

prune1.0ms (0.1%)

localize5.0ms (0.4%)

series2.0ms (0.2%)

rewrite71.0ms (5.3%)

simplify68.0ms (5.1%)

prune29.0ms (2.2%)

localize10.0ms (0.8%)

series8.0ms (0.6%)

rewrite89.0ms (6.7%)

simplify85.0ms (6.4%)

prune96.0ms (7.2%)

regimes40.0ms (3%)

simplify2.0ms (0.2%)

end44.0ms (3.3%)

Profiling