Details

analyze2.0ms (0.2%)

Algorithm

1×

Search

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample610.0ms (49.7%)

Infinites

20.6% of outputs are infinite.

Symmetry

(sort x y)

Results

546.0ms

8256×

body

128

valid

Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify6.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
3×	`*-commutative_binary64`
2×	`distribute-lft-in_binary64`
2×	`distribute-rgt-in_binary64`
1×	`+-commutative_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
2	16	7
3	18	7
4	18	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 (+.f64 x y) z)

Compiler

Compiled 24 to 15 computations (37.5% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 x y) z)

series6.0ms (0.5%)

Counts

1 → 36

Calls

1 calls:

6.0ms

(*.f64 (+.f64 x y) z)

rewrite5.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`*-un-lft-identity_binary64`
5×	`add-sqr-sqrt_binary64`
4×	`associate-l_binary64`
3×	`associate-r_binary64`
3×	`add-cube-cbrt_binary64`

Counts

1 → 23

Calls

1 calls:

4.0ms

(*.f64 (+.f64 x y) z)

simplify99.0ms (8%)

Algorithm

1×	egg-herbie

Rules

508×	`fma-def_binary64`
448×	`associate-+l+_binary64`
431×	`fma-neg_binary64`
402×	`associate-+r+_binary64`
300×	`distribute-rgt-out_binary64`

Counts

59 → 41

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	490
1	115	460
2	370	460
3	930	460
4	1654	460
5	2723	460
6	3208	460
7	4769	460
8	4995	460
9	4860	460

prune19.0ms (1.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	3	42

Error

Counts

42 → 3

Alt Table

Status	Error	Program
	22.2b	(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 y y)) z) (-.f64 x y))
▶	1.5b	(+.f64 (.f64 y z) (.f64 z x))
✓	0.0b	(*.f64 (+.f64 x y) z)

Compiler

Compiled 494 to 154 computations (68.8% saved)

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.4b	(+.f64 (.f64 y z) (.f64 z x))

series6.0ms (0.5%)

Counts

1 → 18

Calls

1 calls:

6.0ms

(+.f64 (*.f64 y z) (*.f64 z x))

rewrite3.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`+-commutative_binary64`
1×	`flip-+_binary64`
1×	`*-un-lft-identity_binary64`
1×	`flip3-+_binary64`

Counts

1 → 14

Calls

1 calls:

3.0ms

(+.f64 (*.f64 y z) (*.f64 z x))

simplify71.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

801×	`unsub-neg_binary64`
588×	`distribute-rgt-out_binary64`
339×	`distribute-rgt-in_binary64`
307×	`distribute-lft-in_binary64`
288×	`associate-l_binary64`

Counts

32 → 28

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	32	296
1	115	272
2	397	271
3	1233	271
4	2569	268
5	3818	268
6	4353	268
7	5317	268

prune13.0ms (1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	28	0	28
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	28	3	31

Error

Counts

31 → 3

Alt Table

Status	Error	Program
▶	22.2b	(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 y y)) z) (-.f64 x y))
✓	1.5b	(+.f64 (.f64 y z) (.f64 z x))
✓	0.0b	(*.f64 (+.f64 x y) z)

Compiler

Compiled 385 to 113 computations (70.6% saved)

localize8.0ms (0.7%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	4.4b	(-.f64 (.f64 x x) (.f64 y y))
✓	8.0b	(.f64 (-.f64 (.f64 x x) (*.f64 y y)) z)
✓	12.0b	(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 y y)) z) (-.f64 x y))

series127.0ms (10.3%)

Counts

3 → 96

Calls

3 calls:

80.0ms	(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 y y)) z) (-.f64 x y))
37.0ms	(.f64 (-.f64 (.f64 x x) (*.f64 y y)) z)
9.0ms	(-.f64 (.f64 x x) (.f64 y y))

rewrite18.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 71

Calls

3 calls:

7.0ms	(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 y y)) z) (-.f64 x y))
5.0ms	(.f64 (-.f64 (.f64 x x) (*.f64 y y)) z)
3.0ms	(-.f64 (.f64 x x) (.f64 y y))

simplify93.0ms (7.6%)

Algorithm

1×	egg-herbie

Rules

823×	`times-frac_binary64`
344×	`distribute-rgt-in_binary64`
330×	`distribute-lft-in_binary64`
213×	`fma-def_binary64`
198×	`div-sub_binary64`

Counts

167 → 122

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	129	2618
1	324	2269
2	1271	2237
3	4412	2236
4	4955	2236

prune44.0ms (3.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	122	3	125

Error

Counts

125 → 3

Alt Table

Status	Error	Program
✓	22.2b	(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 y y)) z) (-.f64 x y))
✓	1.5b	(+.f64 (.f64 y z) (.f64 z x))
✓	0.0b	(*.f64 (+.f64 x y) z)

Compiler

Compiled 2417 to 483 computations (80% saved)

regimes40.0ms (3.3%)

Accuracy

Total 0.0b remaining (72.2%)

Threshold costs 0.0b (72.2%)

Counts

7 → 1

Compiler

Compiled 357 to 221 computations (38.1% saved)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
2	8	7

end45.0ms (3.7%)

Remove: (sort x y)
Compiler: Compiled 66 to 40 computations (39.4% saved)

Details

analyze2.0ms (0.2%)

sample610.0ms (49.7%)

simplify6.0ms (0.5%)

prune1.0ms (0.1%)

localize4.0ms (0.3%)

series6.0ms (0.5%)

rewrite5.0ms (0.4%)

simplify99.0ms (8%)

prune19.0ms (1.6%)

localize5.0ms (0.4%)

series6.0ms (0.5%)

rewrite3.0ms (0.3%)

simplify71.0ms (5.8%)

prune13.0ms (1%)

localize8.0ms (0.7%)

series127.0ms (10.3%)

rewrite18.0ms (1.4%)

simplify93.0ms (7.6%)

prune44.0ms (3.6%)

regimes40.0ms (3.3%)

simplify2.0ms (0.2%)

end45.0ms (3.7%)

Profiling