Details

analyze1.4s (45.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	14

Compiler

Compiled 24 to 15 computations (37.5% saved)

sample892.0ms (30.2%)

Symmetry

(sort a b)

Results

857.0ms

8256×

body

128

valid

Compiler

Compiled 33 to 19 computations (42.4% saved)

simplify9.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

70×	`fma-def_binary64`
24×	`associate-+l+_binary64`
18×	`associate-+r+_binary64`
10×	`distribute-rgt-in_binary64`
8×	`*-commutative_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	10
1	12	10
2	26	10
3	46	10
4	81	10
5	101	10
6	117	10
7	130	10
8	132	10
9	132	10

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 a b) (+.f64 a b))

Compiler

Compiled 27 to 12 computations (55.6% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 a b) (+.f64 a b))

series8.0ms (0.3%)

Counts

1 → 24

Calls

1 calls:

8.0ms

(*.f64 (+.f64 a b) (+.f64 a b))

rewrite9.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64`
8×	`pow1_binary64`
7×	`add-sqr-sqrt_binary64`
6×	`distribute-lft-out_binary64`
6×	`swap-sqr_binary64`

Counts

1 → 42

Calls

1 calls:

6.0ms

(*.f64 (+.f64 a b) (+.f64 a b))

simplify57.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

728×	`associate-+l+_binary64`
594×	`unswap-sqr_binary64`
430×	`distribute-rgt-in_binary64`
422×	`distribute-lft-in_binary64`
327×	`fma-def_binary64`

Counts

66 → 64

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	994
1	200	853
2	739	757
3	2462	692
4	5240	692

prune42.0ms (1.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	62	2	64
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	2	65

Error

Counts

65 → 2

Alt Table

Status	Error	Program
▶	0.0b	(+.f64 (.f64 2 (.f64 a b)) (+.f64 (pow.f64 a 2) (pow.f64 b 2)))
	0.0b	(+.f64 (.f64 a (+.f64 a b)) (.f64 b (+.f64 a b)))

Compiler

Compiled 939 to 290 computations (69.1% saved)

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 2 (.f64 a b)) (+.f64 (pow.f64 a 2) (pow.f64 b 2)))

series11.0ms (0.4%)

Counts

1 → 12

Calls

1 calls:

11.0ms

(+.f64 (*.f64 2 (*.f64 a b)) (+.f64 (pow.f64 a 2) (pow.f64 b 2)))

rewrite10.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-log-exp_binary64`
3×	`sum-log_binary64`
1×	`+-commutative_binary64`
1×	`associate-+r+_binary64`
1×	`flip-+_binary64`

Counts

1 → 16

Calls

1 calls:

9.0ms

(+.f64 (*.f64 2 (*.f64 a b)) (+.f64 (pow.f64 a 2) (pow.f64 b 2)))

simplify67.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

559×	`fma-neg_binary64`
415×	`distribute-rgt-out_binary64`
388×	`associate-l_binary64`
320×	`associate-r_binary64`
288×	`fma-def_binary64`

Counts

28 → 34

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	494
1	138	416
2	540	363
3	2532	363
4	4928	363
5	4992	363

prune27.0ms (0.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	34	0	34
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	34	2	36

Error

Counts

36 → 2

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 (.f64 2 (.f64 a b)) (+.f64 (pow.f64 a 2) (pow.f64 b 2)))
▶	0.0b	(+.f64 (.f64 a (+.f64 a b)) (.f64 b (+.f64 a b)))

Compiler

Compiled 657 to 383 computations (41.7% saved)

localize5.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 a (+.f64 a b)) (.f64 b (+.f64 a b)))
✓	0.0b	(*.f64 b (+.f64 a b))
✓	0.0b	(*.f64 a (+.f64 a b))

series20.0ms (0.7%)

Counts

3 → 72

Calls

3 calls:

8.0ms	(*.f64 b (+.f64 a b))
7.0ms	(+.f64 (.f64 a (+.f64 a b)) (.f64 b (+.f64 a b)))
5.0ms	(*.f64 a (+.f64 a b))

rewrite24.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`associate-*r/_binary64`
11×	`*-un-lft-identity_binary64`
11×	`add-sqr-sqrt_binary64`
8×	`associate-r_binary64`
7×	`flip-+_binary64`

Counts

3 → 73

Calls

3 calls:

6.0ms	(+.f64 (.f64 a (+.f64 a b)) (.f64 b (+.f64 a b)))
5.0ms	(*.f64 a (+.f64 a b))
4.0ms	(*.f64 b (+.f64 a b))

simplify100.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

873×	`fma-neg_binary64`
403×	`*-commutative_binary64`
387×	`associate-+l+_binary64`
371×	`cancel-sign-sub-inv_binary64`
370×	`associate-+r+_binary64`

Counts

145 → 107

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	121	1613
1	380	1512
2	1536	1408
3	3300	1408
4	4869	1408
5	4958	1408

prune62.0ms (2.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	107	2	109

Error

Counts

109 → 2

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 (.f64 2 (.f64 a b)) (+.f64 (pow.f64 a 2) (pow.f64 b 2)))
✓	0.0b	(+.f64 (.f64 a (+.f64 a b)) (.f64 b (+.f64 a b)))

Compiler

Compiled 1951 to 431 computations (77.9% saved)

regimes192.0ms (6.5%)

Accuracy

Total 0.0b remaining (80.2%)

Threshold costs 0.0b (80.2%)

Counts

38 → 1

Compiler

Compiled 1849 to 1125 computations (39.2% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	12	16
2	12	16

end49.0ms (1.7%)

Compiler: Compiled 80 to 45 computations (43.8% saved)

Details

analyze1.4s (45.8%)

sample892.0ms (30.2%)

simplify9.0ms (0.3%)

prune2.0ms (0.1%)

localize3.0ms (0.1%)

series8.0ms (0.3%)

rewrite9.0ms (0.3%)

simplify57.0ms (1.9%)

prune42.0ms (1.4%)

localize8.0ms (0.3%)

series11.0ms (0.4%)

rewrite10.0ms (0.3%)

simplify67.0ms (2.3%)

prune27.0ms (0.9%)

localize5.0ms (0.2%)

series20.0ms (0.7%)

rewrite24.0ms (0.8%)

simplify100.0ms (3.4%)

prune62.0ms (2.1%)

regimes192.0ms (6.5%)

simplify2.0ms (0.1%)

end49.0ms (1.7%)

Profiling