Details

analyze947.0ms (27%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
28.1%	68.6%	3.3%	10
29.6%	65.5%	4.9%	11
32%	61.7%	6.3%	12
35.5%	56.9%	7.6%	13
48%	38.7%	13.4%	14

Compiler

Compiled 20 to 12 computations (40% saved)

sample1.5s (42.9%)

Symmetry

(sort d2 d4)

Results

977.0ms	8256×	body	128	valid
285.0ms	2407×	body	128	invalid

Compiler

Compiled 59 to 35 computations (40.7% saved)

simplify93.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1400×	`fma-neg_binary64`
654×	`fma-def_binary64`
233×	`sub-neg_binary64`
210×	`unsub-neg_binary64`
158×	`cancel-sign-sub-inv_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	19
1	32	14
2	94	13
3	263	13
4	655	13
5	1556	13
6	1691	13
7	1500	13
8	1500	13
9	2739	13
10	2707	13
11	2707	13
12	2632	13

prune3.0ms (0.1%)

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 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))
	0.0b	(-.f64 (+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (.f64 d4 d1)) (.f64 d1 d1))

Compiler

Compiled 92 to 53 computations (42.4% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (-.f64 d2 d3) d1)
✓	0.0b	(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))

series25.0ms (0.7%)

Counts

2 → 84

Calls

2 calls:

21.0ms	(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))
4.0ms	(-.f64 (-.f64 d2 d3) d1)

rewrite21.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`*-un-lft-identity_binary64`
33×	`add-sqr-sqrt_binary64`
24×	`prod-diff_binary64`
21×	`add-cube-cbrt_binary64`
13×	`associate--l+_binary64`

Counts

2 → 81

Calls

2 calls:

8.0ms	(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))
8.0ms	(-.f64 (-.f64 d2 d3) d1)

simplify83.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

844×	`fma-def_binary64`
797×	`distribute-rgt-in_binary64`
448×	`fma-neg_binary64`
259×	`exp-prod_binary64`
193×	`cancel-sign-sub-inv_binary64`

Counts

165 → 136

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	158	2001
1	346	1765
2	1405	1603
3	4390	1602
4	4993	1602

prune86.0ms (2.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	134	2	136
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	136	2	138

Error

Counts

138 → 2

Alt Table

Status	Error	Program
	0.0b	(+.f64 (.f64 d4 d1) (.f64 (-.f64 (-.f64 d2 d3) d1) d1))
▶	0.0b	(*.f64 d1 (+.f64 d2 (-.f64 d4 (+.f64 d3 d1))))

Compiler

Compiled 2381 to 628 computations (73.6% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 d1 (+.f64 d2 (-.f64 d4 (+.f64 d3 d1))))

series13.0ms (0.4%)

Counts

1 → 48

Calls

1 calls:

12.0ms

(*.f64 d1 (+.f64 d2 (-.f64 d4 (+.f64 d3 d1))))

rewrite11.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64`
6×	`associate-r_binary64`
5×	`add-sqr-sqrt_binary64`
4×	`distribute-lft-out_binary64`
3×	`associate-l_binary64`

Counts

1 → 27

Calls

1 calls:

10.0ms

(*.f64 d1 (+.f64 d2 (-.f64 d4 (+.f64 d3 d1))))

simplify54.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

731×	`associate-+l+_binary64`
451×	`distribute-rgt-in_binary64`
437×	`distribute-lft-in_binary64`
376×	`associate-l_binary64`
282×	`associate-r_binary64`

Counts

75 → 45

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	71	1262
1	191	1056
2	659	940
3	2580	940
4	5412	940

prune16.0ms (0.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	45	2	47

Error

Counts

47 → 2

Alt Table

Status	Error	Program
▶	0.0b	(+.f64 (.f64 d4 d1) (.f64 (-.f64 (-.f64 d2 d3) d1) d1))
✓	0.0b	(*.f64 d1 (+.f64 d2 (-.f64 d4 (+.f64 d3 d1))))

Compiler

Compiled 647 to 157 computations (75.7% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (-.f64 d2 d3) d1)
✓	0.0b	(+.f64 (.f64 d4 d1) (.f64 (-.f64 (-.f64 d2 d3) d1) d1))

series18.0ms (0.5%)

Counts

1 → 48

Calls

1 calls:

17.0ms

(+.f64 (*.f64 d4 d1) (*.f64 (-.f64 (-.f64 d2 d3) d1) d1))

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`+-commutative_binary64`
1×	`distribute-rgt-out_binary64`
1×	`flip-+_binary64`
1×	`*-un-lft-identity_binary64`

Counts

1 → 15

Calls

1 calls:

5.0ms

(+.f64 (*.f64 d4 d1) (*.f64 (-.f64 (-.f64 d2 d3) d1) d1))

simplify107.0ms (3%)

Algorithm

1×	egg-herbie

Rules

760×	`fma-neg_binary64`
358×	`associate-l_binary64`
352×	`distribute-rgt-out_binary64`
334×	`cancel-sign-sub-inv_binary64`
278×	`associate-r_binary64`

Counts

63 → 39

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	51	1122
1	175	939
2	585	821
3	2382	821
4	4476	821
5	5118	821

prune59.0ms (1.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	120	2	122

Error

Counts

122 → 2

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 (.f64 d4 d1) (.f64 (-.f64 (-.f64 d2 d3) d1) d1))
✓	0.0b	(*.f64 d1 (+.f64 d2 (-.f64 d4 (+.f64 d3 d1))))

Compiler

Compiled 2306 to 583 computations (74.7% saved)

regimes153.0ms (4.4%)

Accuracy

Total 0.0b remaining (23%)

Threshold costs 0.0b (23%)

Counts

35 → 1

Compiler

Compiled 2003 to 1329 computations (33.6% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	14	14
2	22	14
3	26	14
4	28	14
5	28	14

end287.0ms (8.2%)

Compiler: Compiled 84 to 49 computations (41.7% saved)

Details

analyze947.0ms (27%)

sample1.5s (42.9%)

simplify93.0ms (2.7%)

prune3.0ms (0.1%)

localize6.0ms (0.2%)

series25.0ms (0.7%)

rewrite21.0ms (0.6%)

simplify83.0ms (2.4%)

prune86.0ms (2.4%)

localize7.0ms (0.2%)

series13.0ms (0.4%)

rewrite11.0ms (0.3%)

simplify54.0ms (1.5%)

prune16.0ms (0.5%)

localize7.0ms (0.2%)

series18.0ms (0.5%)

rewrite5.0ms (0.1%)

simplify107.0ms (3%)

prune59.0ms (1.7%)

regimes153.0ms (4.4%)

simplify2.0ms (0.1%)

end287.0ms (8.2%)

Profiling