Details

analyze25.0ms (2.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	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)

sample11.0ms (1.3%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

128

valid

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify10.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	9	7
2	13	7
3	18	7
4	24	7
5	32	7
6	41	7
7	55	7
8	62	7
9	65	7
10	66	7
11	46	7

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	0.0b	(/.f64 x (-.f64 1 x))

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 x (-.f64 1 x))

rewrite22.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

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 → 41

Calls

1 calls:

4.0ms

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

Compiler

Compiled 479 to 299 computations (37.6% saved)

series11.0ms (1.3%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

7.0ms

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

Compiler

Compiled 180 to 142 computations (21.1% saved)

simplify112.0ms (13.2%)

Algorithm

1×	egg-herbie

Rules

509×	`associate-/l*_binary64`
300×	`associate-l_binary64`
280×	`unsub-neg_binary64`
266×	`unswap-sqr_binary64`
265×	`associate-r_binary64`

Counts

53 → 29

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	89	754
1	184	710
2	462	707
3	1067	704
4	3712	704
5	4564	704
6	4935	704
7	4858	704

prune8.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	28	1	29
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	2	30

Error

Counts

30 → 2

Alt Table

Status	Error	Program
▶	17.3b	(.f64 (/.f64 x (-.f64 1 (.f64 x x))) (+.f64 1 x))
✓	0.0b	(/.f64 x (-.f64 1 x))

Compiler

Compiled 236 to 144 computations (39% saved)

localize6.0ms (0.7%)

Local error

Found 2 expressions with local error:

0.1b	(.f64 (/.f64 x (-.f64 1 (.f64 x x))) (+.f64 1 x))
16.7b	(/.f64 x (-.f64 1 (*.f64 x x)))

rewrite73.0ms (8.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

34×	`add-sqr-sqrt_binary64`
31×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
22×	`add-cube-cbrt_binary64`
21×	`associate-l_binary64`

Counts

2 → 84

Calls

2 calls:

14.0ms	(/.f64 x (-.f64 1 (*.f64 x x)))
8.0ms	(.f64 (/.f64 x (-.f64 1 (.f64 x x))) (+.f64 1 x))

Compiler

Compiled 1666 to 963 computations (42.2% saved)

series27.0ms (3.2%)

Error

Counts

2 → 24

Calls

2 calls:

12.0ms	(/.f64 x (-.f64 1 (*.f64 x x)))
8.0ms	(.f64 (/.f64 x (-.f64 1 (.f64 x x))) (+.f64 1 x))

Compiler

Compiled 481 to 373 computations (22.5% saved)

simplify95.0ms (11.3%)

Algorithm

1×	egg-herbie

Rules

432×	`distribute-rgt-in_binary64`
416×	`associate-/l*_binary64`
394×	`times-frac_binary64`
387×	`associate-*l/_binary64`
363×	`distribute-lft-in_binary64`

Counts

108 → 83

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	165	1963
1	510	1790
2	1484	1718
3	4228	1716
4	5108	1716

prune33.0ms (3.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	83	2	85

Error

Counts

85 → 2

Alt Table

Status	Error	Program
	17.3b	(.f64 (/.f64 x (-.f64 1 (.f64 x x))) (+.f64 1 x))
	0.0b	(/.f64 x (-.f64 1 x))

Compiler

Compiled 1118 to 690 computations (38.3% saved)

regimes19.0ms (2.3%)

Accuracy

Total 0.0b remaining (66.7%)

Threshold costs 0.0b (66.7%)

Compiler

Compiled 118 to 82 computations (30.5% saved)

simplify3.0ms (0.4%)

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

end0.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

sample386.0ms (45.6%)

Algorithm

1×

intervals

Results

187.0ms

8000×

body

128

valid

Compiler

Compiled 32 to 22 computations (31.3% saved)

Details

analyze25.0ms (2.9%)

sample11.0ms (1.3%)

simplify10.0ms (1.2%)

prune1.0ms (0.1%)

localize3.0ms (0.3%)

rewrite22.0ms (2.6%)

series11.0ms (1.3%)

simplify112.0ms (13.2%)

prune8.0ms (1%)

localize6.0ms (0.7%)

rewrite73.0ms (8.7%)

series27.0ms (3.2%)

simplify95.0ms (11.3%)

prune33.0ms (3.9%)

regimes19.0ms (2.3%)

simplify3.0ms (0.4%)

end0.0ms (0%)

sample386.0ms (45.6%)

Profiling