Details

analyze2.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

Compiler

Compiled 8 to 6 computations (25% saved)

sample64.0ms (3.6%)

Algorithm

1×

intervals

Symmetry

(sort x y)

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	7	7
2	7	7

prune2.0ms (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 (+.f64 x y) 10)

Compiler

Compiled 21 to 15 computations (28.6% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 x y) 10)

series4.0ms (0.2%)

Counts

1 → 24

Calls

1 calls:

4.0ms

(/.f64 (+.f64 x y) 10)

rewrite5.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64`
12×	`times-frac_binary64`
10×	`add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64`
4×	`associate-/l*_binary64`

Counts

1 → 35

Calls

1 calls:

4.0ms

(/.f64 (+.f64 x y) 10)

simplify141.0ms (8%)

Algorithm

1×	egg-herbie

Rules

713×	`fma-def_binary64`
628×	`distribute-rgt-in_binary64`
573×	`distribute-lft-in_binary64`
358×	`associate-/l/_binary64`
316×	`neg-mul-1_binary64`

Counts

59 → 59

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	69	625
1	141	595
2	303	595
3	628	595
4	1522	595
5	3732	595
6	4835	595
7	5061	595

prune90.0ms (5.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	57	2	59
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	57	3	60

Error

Counts

60 → 3

Alt Table

Status	Error	Program
▶	0.4b	(+.f64 (.f64 1/10 y) (.f64 1/10 x))
	0.7b	(/.f64 (/.f64 (+.f64 x y) (sqrt.f64 10)) (sqrt.f64 10))
✓	0.0b	(/.f64 (+.f64 x y) 10)

Compiler

Compiled 730 to 391 computations (46.4% saved)

localize4.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 1/10 y) (.f64 1/10 x))
✓	0.4b	(*.f64 1/10 y)
✓	0.4b	(*.f64 1/10 x)

series7.0ms (0.4%)

Counts

3 → 6

Calls

3 calls:

4.0ms	(+.f64 (.f64 1/10 y) (.f64 1/10 x))
2.0ms	(*.f64 1/10 x)
1.0ms	(*.f64 1/10 y)

rewrite11.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64`
7×	`add-cube-cbrt_binary64`
7×	`add-cbrt-cube_binary64`
7×	`add-exp-log_binary64`

Counts

3 → 55

Calls

3 calls:

4.0ms	(*.f64 1/10 y)
3.0ms	(+.f64 (.f64 1/10 y) (.f64 1/10 x))
3.0ms	(*.f64 1/10 x)

simplify79.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

745×	`unsub-neg_binary64`
525×	`distribute-rgt-out_binary64`
285×	`distribute-rgt-in_binary64`
260×	`fma-neg_binary64`
254×	`*-commutative_binary64`

Counts

61 → 69

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	80	469
1	189	443
2	474	440
3	1226	440
4	2444	439
5	3594	439
6	4371	439
7	5236	439

prune32.0ms (1.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	69	3	72

Error

Counts

72 → 3

Alt Table

Status	Error	Program
✓	0.4b	(+.f64 (.f64 1/10 y) (.f64 1/10 x))
▶	0.7b	(/.f64 (/.f64 (+.f64 x y) (sqrt.f64 10)) (sqrt.f64 10))
✓	0.0b	(/.f64 (+.f64 x y) 10)

Compiler

Compiled 849 to 625 computations (26.4% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (/.f64 (+.f64 x y) (sqrt.f64 10)) (sqrt.f64 10))
✓	0.4b	(/.f64 (+.f64 x y) (sqrt.f64 10))

series51.0ms (2.9%)

Counts

2 → 48

Calls

2 calls:

40.0ms	(/.f64 (/.f64 (+.f64 x y) (sqrt.f64 10)) (sqrt.f64 10))
11.0ms	(/.f64 (+.f64 x y) (sqrt.f64 10))

rewrite47.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Rules

360×	`times-frac_binary64`
280×	`*-un-lft-identity_binary64`
186×	`sqrt-prod_binary64`
182×	`add-sqr-sqrt_binary64`
182×	`add-cube-cbrt_binary64`

Counts

2 → 269

Calls

2 calls:

11.0ms	(/.f64 (/.f64 (+.f64 x y) (sqrt.f64 10)) (sqrt.f64 10))
5.0ms	(/.f64 (+.f64 x y) (sqrt.f64 10))

simplify394.0ms (22.3%)

Algorithm

1×	egg-herbie

Rules

591×	`fma-neg_binary64`
535×	`associate-+l+_binary64`
487×	`associate-/l/_binary64`
345×	`fma-def_binary64`
317×	`*-commutative_binary64`

Counts

317 → 283

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	225	7532
1	490	7318
2	933	6976
3	2136	6830
4	3339	6823
5	4903	6823
6	5234	6823

prune181.0ms (10.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	283	0	283
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	283	3	286

Error

Counts

286 → 3

Alt Table

Status	Error	Program
✓	0.4b	(+.f64 (.f64 1/10 y) (.f64 1/10 x))
✓	0.7b	(/.f64 (/.f64 (+.f64 x y) (sqrt.f64 10)) (sqrt.f64 10))
✓	0.0b	(/.f64 (+.f64 x y) 10)

Compiler

Compiled 5699 to 3845 computations (32.5% saved)

regimes127.0ms (7.2%)

Accuracy

Total 0.0b remaining (87%)

Threshold costs 0.0b (87%)

Counts

25 → 1

Compiler

Compiled 1298 to 876 computations (32.5% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	8	10
2	8	10

end6.0ms (0.3%)

Remove: (sort x y)
Compiler: Compiled 27 to 21 computations (22.2% saved)

sample501.0ms (28.3%)

Algorithm

1×

intervals

Results

191.0ms

8000×

body

128

valid

Compiler

Compiled 46 to 36 computations (21.7% saved)

Details

analyze2.0ms (0.1%)

sample64.0ms (3.6%)

simplify6.0ms (0.3%)

prune2.0ms (0.1%)

localize5.0ms (0.3%)

series4.0ms (0.2%)

rewrite5.0ms (0.3%)

simplify141.0ms (8%)

prune90.0ms (5.1%)

localize4.0ms (0.2%)

series7.0ms (0.4%)

rewrite11.0ms (0.6%)

simplify79.0ms (4.5%)

prune32.0ms (1.8%)

localize5.0ms (0.3%)

series51.0ms (2.9%)

rewrite47.0ms (2.7%)

simplify394.0ms (22.3%)

prune181.0ms (10.2%)

regimes127.0ms (7.2%)

simplify2.0ms (0.1%)

end6.0ms (0.3%)

sample501.0ms (28.3%)

Profiling