Details

analyze2.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
75%	25%	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)

sample427.0ms (43.5%)

Infinites

0% of outputs are infinite.

Results

376.0ms

8256×

body

128

valid

Compiler

Compiled 20 to 14 computations (30% saved)

simplify8.0ms (0.8%)

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)

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series3.0ms (0.3%)

Counts

1 → 12

Calls

1 calls:

3.0ms

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

rewrite13.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`*-un-lft-identity_binary64`
24×	`add-sqr-sqrt_binary64`
18×	`times-frac_binary64`
12×	`add-cube-cbrt_binary64`
8×	`difference-of-squares_binary64`

Counts

1 → 43

Calls

1 calls:

4.0ms

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

simplify68.0ms (7%)

Algorithm

1×	egg-herbie

Rules

699×	`fma-neg_binary64`
523×	`fma-def_binary64`
509×	`associate-/l*_binary64`
300×	`associate-l_binary64`
265×	`associate-r_binary64`

Counts

55 → 61

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	91	772
1	186	722
2	473	715
3	1151	715
4	4197	711
5	4919	711

prune28.0ms (2.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	60	2	62

Error

Counts

62 → 2

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 x (-.f64 1 x))
▶	22.6b	(.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1 1) (+.f64 (.f64 x x) (.f64 1 x))))

Compiler

Compiled 745 to 471 computations (36.8% saved)

localize10.0ms (1.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 x x) (.f64 1 x))
✓	5.8b	(/.f64 x (-.f64 1 (pow.f64 x 3)))
✓	16.5b	(.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1 1) (+.f64 (.f64 x x) (.f64 1 x))))

series11.0ms (1.2%)

Counts

3 → 36

Calls

3 calls:

6.0ms	(/.f64 x (-.f64 1 (pow.f64 x 3)))
3.0ms	(.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1 1) (+.f64 (.f64 x x) (.f64 1 x))))
2.0ms	(+.f64 (.f64 x x) (.f64 1 x))

rewrite44.0ms (4.5%)

Algorithm

1×	rewrite-expression-head

Rules

112×	`add-sqr-sqrt_binary64`
80×	`*-un-lft-identity_binary64`
73×	`times-frac_binary64`
56×	`difference-of-squares_binary64`
42×	`associate-l_binary64`

Counts

3 → 152

Calls

3 calls:

17.0ms	(.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1 1) (+.f64 (.f64 x x) (.f64 1 x))))
6.0ms	(/.f64 x (-.f64 1 (pow.f64 x 3)))
3.0ms	(+.f64 (.f64 x x) (.f64 1 x))

simplify125.0ms (12.7%)

Algorithm

1×	egg-herbie

Rules

544×	`times-frac_binary64`
532×	`associate-/l*_binary64`
414×	`fma-neg_binary64`
266×	`distribute-rgt-in_binary64`
245×	`distribute-lft-in_binary64`

Counts

188 → 242

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	239	3706
1	739	3470
2	2654	3381
3	4605	3381
4	4943	3381

prune158.0ms (16.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	242	0	242
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	242	2	244

Error

Counts

244 → 2

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 x (-.f64 1 x))
✓	22.6b	(.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1 1) (+.f64 (.f64 x x) (.f64 1 x))))

Compiler

Compiled 6676 to 4473 computations (33% saved)

regimes38.0ms (3.9%)

Accuracy

Total 0.0b remaining (64.8%)

Threshold costs 0.0b (64.8%)

Counts

17 → 1

Compiler

Compiled 538 to 386 computations (28.3% saved)

simplify3.0ms (0.3%)

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

end40.0ms (4.1%)

Compiler: Compiled 38 to 27 computations (28.9% saved)

Details

analyze2.0ms (0.2%)

sample427.0ms (43.5%)

simplify8.0ms (0.8%)

prune1.0ms (0.1%)

localize3.0ms (0.3%)

series3.0ms (0.3%)

rewrite13.0ms (1.3%)

simplify68.0ms (7%)

prune28.0ms (2.9%)

localize10.0ms (1.1%)

series11.0ms (1.2%)

rewrite44.0ms (4.5%)

simplify125.0ms (12.7%)

prune158.0ms (16.1%)

regimes38.0ms (3.9%)

simplify3.0ms (0.3%)

end40.0ms (4.1%)

Profiling