Details

analyze1.4s (50.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
0%	99.9%	0.1%	9
0%	99.9%	0.1%	10
0%	99.9%	0.1%	11
0%	99.9%	0.1%	12
0%	99.9%	0.1%	13
0%	99.9%	0.1%	14

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample842.0ms (30.5%)

Symmetry

(sort x y)

Results

811.0ms	8256×	body	128	valid
1.0ms	2×	body	8192	exit

Compiler

Compiled 23 to 15 computations (34.8% saved)

simplify11.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

13×	`associate-/r*_binary64`
5×	`*-commutative_binary64`
4×	`associate-/l/_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	15	13
2	28	13
3	39	13
4	37	13
5	37	13

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

14.9b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	14.9b	(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))

Compiler

Compiled 42 to 25 computations (40.5% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	14.3b	(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))

series8.0ms (0.3%)

Counts

1 → 24

Calls

1 calls:

8.0ms

(/.f64 (+.f64 x y) (*.f64 (*.f64 x 2) y))

rewrite7.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-cbrt-cube_binary64`
10×	`add-exp-log_binary64`
7×	`*-un-lft-identity_binary64`
4×	`associate-/l*_binary64`
4×	`times-frac_binary64`

Counts

1 → 29

Calls

1 calls:

6.0ms

(/.f64 (+.f64 x y) (*.f64 (*.f64 x 2) y))

simplify58.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

701×	`fma-def_binary64`
664×	`times-frac_binary64`
522×	`associate-/r*_binary64`
519×	`associate-l_binary64`
500×	`distribute-rgt-in_binary64`

Counts

53 → 45

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	80	767
1	222	654
2	839	654
3	3818	653
4	5409	653

prune24.0ms (0.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	44	2	46

Error

Counts

46 → 2

Alt Table

Status	Error	Program
	8.8b	(/.f64 (/.f64 (+.f64 x y) (*.f64 x 2)) y)
▶	0.0b	(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))

Compiler

Compiled 730 to 356 computations (51.2% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))

series7.0ms (0.3%)

Counts

1 → 24

Calls

1 calls:

7.0ms

(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))

rewrite12.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64`
15×	`times-frac_binary64`
13×	`fma-def_binary64`
10×	`add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64`

Counts

1 → 32

Calls

1 calls:

10.0ms

(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))

simplify94.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

539×	`distribute-rgt-out_binary64`
539×	`times-frac_binary64`
394×	`associate-/l/_binary64`
321×	`fma-neg_binary64`
298×	`distribute-rgt-in_binary64`

Counts

56 → 40

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	49	504
1	127	473
2	402	472
3	1379	472
4	2965	472
5	4451	472
6	4835	472
7	5030	472

prune20.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	40	2	42

Error

Counts

42 → 2

Alt Table

Status	Error	Program
▶	8.8b	(/.f64 (/.f64 (+.f64 x y) (*.f64 x 2)) y)
✓	0.0b	(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))

Compiler

Compiled 566 to 416 computations (26.5% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 x y) (*.f64 x 2))
✓	8.2b	(/.f64 (/.f64 (+.f64 x y) (*.f64 x 2)) y)

series14.0ms (0.5%)

Counts

2 → 48

Calls

2 calls:

8.0ms	(/.f64 (/.f64 (+.f64 x y) (*.f64 x 2)) y)
6.0ms	(/.f64 (+.f64 x y) (*.f64 x 2))

rewrite16.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`times-frac_binary64`
33×	`*-un-lft-identity_binary64`
21×	`add-sqr-sqrt_binary64`
21×	`add-cube-cbrt_binary64`
16×	`add-cbrt-cube_binary64`

Counts

2 → 81

Calls

2 calls:

6.0ms	(/.f64 (/.f64 (+.f64 x y) (*.f64 x 2)) y)
5.0ms	(/.f64 (+.f64 x y) (*.f64 x 2))

simplify98.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

664×	`fma-def_binary64`
564×	`times-frac_binary64`
469×	`associate-/l*_binary64`
442×	`associate-/l/_binary64`
402×	`associate-/r*_binary64`

Counts

129 → 102

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	143	1982
1	348	1799
2	1033	1798
3	4078	1798
4	4673	1798
5	5550	1798

prune42.0ms (1.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	102	2	104

Error

Counts

104 → 2

Alt Table

Status	Error	Program
✓	8.8b	(/.f64 (/.f64 (+.f64 x y) (*.f64 x 2)) y)
✓	0.0b	(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))

Compiler

Compiled 1646 to 756 computations (54.1% saved)

regimes49.0ms (1.8%)

Accuracy

Total 0.0b remaining (65.8%)

Threshold costs 0.0b (65.8%)

Counts

11 → 1

Compiler

Compiled 518 to 339 computations (34.6% 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

end44.0ms (1.6%)

Remove: (sort x y)
Compiler: Compiled 56 to 42 computations (25% saved)

Details

analyze1.4s (50.5%)

sample842.0ms (30.5%)

simplify11.0ms (0.4%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

series8.0ms (0.3%)

rewrite7.0ms (0.3%)

simplify58.0ms (2.1%)

prune24.0ms (0.9%)

localize4.0ms (0.2%)

series7.0ms (0.3%)

rewrite12.0ms (0.4%)

simplify94.0ms (3.4%)

prune20.0ms (0.7%)

localize8.0ms (0.3%)

series14.0ms (0.5%)

rewrite16.0ms (0.6%)

simplify98.0ms (3.6%)

prune42.0ms (1.5%)

regimes49.0ms (1.8%)

simplify2.0ms (0.1%)

end44.0ms (1.6%)

Profiling