Details

analyze4.0ms (0.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
62.5%	12.5%	25%	5
68.7%	6.2%	25%	6
71.8%	3.1%	25%	7
73.4%	1.6%	25%	8
74.2%	0.8%	25%	9
74.6%	0.4%	25%	10
74.8%	0.2%	25%	11
74.9%	0.1%	25%	12
74.9%	0%	25%	13
74.9%	0%	25%	14

Compiler

Compiled 7 to 5 computations (28.6% saved)

sample616.0ms (53.4%)

Results

579.0ms

8256×

body

128

valid

Compiler

Compiled 20 to 14 computations (30% saved)

simplify15.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

92×	`fma-def_binary64`
68×	`fma-neg_binary64`
24×	`cancel-sign-sub-inv_binary64`
16×	`distribute-rgt-in_binary64`
12×	`sub-neg_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	11	7
2	17	7
3	19	7
4	23	7
5	28	7
6	37	7
7	56	7
8	112	7
9	172	7
10	194	7
11	212	7
12	214	7
13	183	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 x 1))

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series2.0ms (0.2%)

Counts

1 → 12

Calls

1 calls:

2.0ms

(*.f64 x (-.f64 x 1))

rewrite12.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64`
20×	`*-un-lft-identity_binary64`
18×	`prod-diff_binary64`
17×	`add-cube-cbrt_binary64`
13×	`distribute-lft-in_binary64`

Counts

1 → 52

Calls

1 calls:

9.0ms

(*.f64 x (-.f64 x 1))

simplify74.0ms (6.5%)

Algorithm

1×	egg-herbie

Rules

411×	`unswap-sqr_binary64`
411×	`fma-neg_binary64`
340×	`*-commutative_binary64`
316×	`exp-prod_binary64`
265×	`distribute-rgt-neg-in_binary64`

Counts

64 → 75

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	66	597
1	121	507
2	321	503
3	1110	503
4	1977	503
5	4623	503
6	4945	503

prune44.0ms (3.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	74	1	75
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	74	2	76

Error

Counts

76 → 2

Alt Table

Status	Error	Program
▶	12.6b	(/.f64 (-.f64 (pow.f64 x 4) x) (+.f64 (.f64 x x) (+.f64 (.f64 1 1) (*.f64 x 1))))
✓	0.0b	(*.f64 x (-.f64 x 1))

Compiler

Compiled 1127 to 756 computations (32.9% saved)

localize11.0ms (1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (pow.f64 x 4) x)
✓	0.0b	(+.f64 (.f64 x x) (+.f64 (.f64 1 1) (*.f64 x 1)))
✓	11.7b	(/.f64 (-.f64 (pow.f64 x 4) x) (+.f64 (.f64 x x) (+.f64 (.f64 1 1) (*.f64 x 1))))

series8.0ms (0.7%)

Counts

3 → 27

Calls

3 calls:

4.0ms	(/.f64 (-.f64 (pow.f64 x 4) x) (+.f64 (.f64 x x) (+.f64 (.f64 1 1) (*.f64 x 1))))
3.0ms	(-.f64 (pow.f64 x 4) x)
2.0ms	(+.f64 (.f64 x x) (+.f64 (.f64 1 1) (*.f64 x 1)))

rewrite33.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Rules

56×	`add-sqr-sqrt_binary64`
41×	`*-un-lft-identity_binary64`
31×	`add-cube-cbrt_binary64`
21×	`prod-diff_binary64`
21×	`times-frac_binary64`

Counts

3 → 114

Calls

3 calls:

12.0ms	(/.f64 (-.f64 (pow.f64 x 4) x) (+.f64 (.f64 x x) (+.f64 (.f64 1 1) (*.f64 x 1))))
6.0ms	(+.f64 (.f64 x x) (+.f64 (.f64 1 1) (*.f64 x 1)))
5.0ms	(-.f64 (pow.f64 x 4) x)

simplify98.0ms (8.5%)

Algorithm

1×	egg-herbie

Rules

943×	`fma-neg_binary64`
527×	`distribute-rgt-in_binary64`
470×	`distribute-lft-in_binary64`
266×	`times-frac_binary64`
202×	`cancel-sign-sub-inv_binary64`

Counts

141 → 172

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	181	2443
1	412	2200
2	1399	2134
3	4563	2133
4	5167	2133

prune117.0ms (10.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	172	0	172
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	172	2	174

Error

Counts

174 → 2

Alt Table

Status	Error	Program
✓	12.6b	(/.f64 (-.f64 (pow.f64 x 4) x) (+.f64 (.f64 x x) (+.f64 (.f64 1 1) (*.f64 x 1))))
✓	0.0b	(*.f64 x (-.f64 x 1))

Compiler

Compiled 4748 to 2851 computations (40% saved)

regimes72.0ms (6.3%)

Accuracy

Total 0.0b remaining (63.2%)

Threshold costs 0.0b (63.2%)

Counts

35 → 1

Compiler

Compiled 909 to 605 computations (33.4% 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	4	7
1	6	7
2	11	7
3	13	7
4	14	7
5	14	7

end39.0ms (3.4%)

Compiler: Compiled 36 to 23 computations (36.1% saved)

Iter	Nodes	Cost
0	5	7
1	11	7
2	17	7
3	19	7
4	23	7
5	28	7
6	37	7
7	56	7
8	112	7
9	172	7
10	194	7
11	212	7
12	214	7
13	183	7

Iter	Nodes	Cost
0	5	7
1	11	7
2	17	7
3	19	7
4	23	7
5	28	7
6	37	7
7	56	7
8	112	7
9	172	7
10	194	7
11	212	7
12	214	7
13	183	7

Details

analyze4.0ms (0.3%)

sample616.0ms (53.4%)

simplify15.0ms (1.3%)

prune1.0ms (0.1%)

localize3.0ms (0.2%)

series2.0ms (0.2%)

rewrite12.0ms (1%)

simplify74.0ms (6.5%)

prune44.0ms (3.8%)

localize11.0ms (1%)

series8.0ms (0.7%)

rewrite33.0ms (2.9%)

simplify98.0ms (8.5%)

prune117.0ms (10.2%)

regimes72.0ms (6.3%)

simplify2.0ms (0.2%)

end39.0ms (3.4%)

Profiling

Iter	Nodes	Cost
0	5	7
1	11	7
2	17	7
3	19	7
4	23	7
5	28	7
6	37	7
7	56	7
8	112	7
9	172	7
10	194	7
11	212	7
12	214	7
13	183	7