Details

analyze1.0ms (0.1%)

Algorithm

1×

Search

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample606.0ms (58.5%)

Infinites

27.9% of outputs are infinite.

Results

524.0ms

8256×

body

128

valid

Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify29.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

388×	`fma-def_binary64`
286×	`fma-neg_binary64`
71×	`distribute-rgt-in_binary64`
70×	`associate-l_binary64`
69×	`cancel-sign-sub-inv_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	18	10
2	40	10
3	88	10
4	154	10
5	217	10
6	386	10
7	511	10
8	657	10
9	727	10
10	777	10
11	724	10

prune3.0ms (0.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.0b	(.f64 2 (.f64 x (-.f64 x y)))
	2.0b	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))

Compiler

Compiled 58 to 37 computations (36.2% saved)

localize4.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

series5.0ms (0.5%)

Counts

1 → 24

Calls

1 calls:

5.0ms

(*.f64 x (-.f64 x y))

rewrite13.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 50

Calls

1 calls:

10.0ms

(*.f64 x (-.f64 x y))

simplify75.0ms (7.2%)

Algorithm

1×	egg-herbie

Rules

975×	`fma-def_binary64`
571×	`unsub-neg_binary64`
382×	`fma-neg_binary64`
276×	`associate-+l+_binary64`
238×	`*-commutative_binary64`

Counts

74 → 62

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	112	899
1	175	719
2	553	665
3	1323	610
4	3162	610
5	4711	610
6	5009	610

prune32.0ms (3.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	61	1	62
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	61	3	64

Error

Counts

64 → 3

Alt Table

Status	Error	Program
✓	0.0b	(.f64 2 (.f64 x (-.f64 x y)))
▶	2.0b	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))
	28.2b	(.f64 2 (.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 x y))))

Compiler

Compiled 1133 to 409 computations (63.9% saved)

localize5.0ms (0.5%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.9b	(-.f64 (.f64 x x) (.f64 x y))

series6.0ms (0.5%)

Counts

1 → 24

Calls

1 calls:

5.0ms

(-.f64 (*.f64 x x) (*.f64 x y))

rewrite3.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`distribute-lft-out--_binary64`
1×	`cancel-sign-sub-inv_binary64`
1×	`flip--_binary64`
1×	`sub-neg_binary64`

Counts

1 → 17

Calls

1 calls:

3.0ms

(-.f64 (*.f64 x x) (*.f64 x y))

simplify68.0ms (6.6%)

Algorithm

1×	egg-herbie

Rules

607×	`fma-def_binary64`
486×	`distribute-rgt-in_binary64`
454×	`unsub-neg_binary64`
433×	`unswap-sqr_binary64`
407×	`distribute-lft-in_binary64`

Counts

41 → 34

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	374
1	111	347
2	345	341
3	1174	341
4	3275	341
5	4501	341
6	4886	341

prune17.0ms (1.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	33	1	34
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	35	2	37

Error

Counts

37 → 2

Alt Table

Status	Error	Program
✓	0.0b	(.f64 2 (.f64 x (-.f64 x y)))
▶	0.5b	(.f64 2 (fma.f64 x x (neg.f64 (.f64 x y))))

Compiler

Compiled 485 to 190 computations (60.8% saved)

localize5.0ms (0.5%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.5b	(fma.f64 x x (neg.f64 (*.f64 x y)))

series7.0ms (0.6%)

Counts

1 → 24

Calls

1 calls:

7.0ms

(fma.f64 x x (neg.f64 (*.f64 x y)))

rewrite1.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma.f64 x x (neg.f64 (*.f64 x y)))

simplify69.0ms (6.7%)

Algorithm

1×	egg-herbie

Rules

425×	`*-commutative_binary64`
315×	`cancel-sign-sub-inv_binary64`
308×	`distribute-rgt-out_binary64`
298×	`associate-l_binary64`
296×	`distribute-lft-out_binary64`

Counts

34 → 23

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	358
1	39	253
2	76	253
3	263	253
4	1374	253
5	3100	253
6	4852	253
7	4926	253

prune11.0ms (1.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	23	0	23
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	23	2	25

Error

Counts

25 → 2

Alt Table

Status	Error	Program
✓	0.0b	(.f64 2 (.f64 x (-.f64 x y)))
✓	0.5b	(.f64 2 (fma.f64 x x (neg.f64 (.f64 x y))))

Compiler

Compiled 293 to 114 computations (61.1% saved)

regimes36.0ms (3.5%)

Accuracy

Total 0.0b remaining (48%)

Threshold costs 0.0b (48%)

Counts

8 → 1

Compiler

Compiled 392 to 248 computations (36.7% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	11	10
2	16	10
3	18	10
4	19	10
5	19	10

end37.0ms (3.6%)

Compiler: Compiled 38 to 25 computations (34.2% saved)

Iter	Nodes	Cost
0	8	10
1	18	10
2	40	10
3	88	10
4	154	10
5	217	10
6	386	10
7	511	10
8	657	10
9	727	10
10	777	10
11	724	10

Iter	Nodes	Cost
0	8	10
1	18	10
2	40	10
3	88	10
4	154	10
5	217	10
6	386	10
7	511	10
8	657	10
9	727	10
10	777	10
11	724	10

Details

analyze1.0ms (0.1%)

sample606.0ms (58.5%)

simplify29.0ms (2.8%)

prune3.0ms (0.3%)

localize4.0ms (0.4%)

series5.0ms (0.5%)

rewrite13.0ms (1.3%)

simplify75.0ms (7.2%)

prune32.0ms (3.1%)

localize5.0ms (0.5%)

series6.0ms (0.5%)

rewrite3.0ms (0.3%)

simplify68.0ms (6.6%)

prune17.0ms (1.6%)

localize5.0ms (0.5%)

series7.0ms (0.6%)

rewrite1.0ms (0.1%)

simplify69.0ms (6.7%)

prune11.0ms (1.1%)

regimes36.0ms (3.5%)

simplify3.0ms (0.2%)

end37.0ms (3.6%)

Profiling

Iter	Nodes	Cost
0	8	10
1	18	10
2	40	10
3	88	10
4	154	10
5	217	10
6	386	10
7	511	10
8	657	10
9	727	10
10	777	10
11	724	10