Details

analyze1.2s (18.3%)

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)

sample46.0ms (0.7%)

Algorithm

1×

intervals

Results

18.0ms	256×	body	128	valid
4.0ms	95×	body	128	invalid

Compiler

Compiled 43 to 27 computations (37.2% saved)

simplify85.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

235×	`sub-neg_binary64`
222×	`unsub-neg_binary64`
158×	`cancel-sign-sub-inv_binary64`
141×	`associate-l_binary64`
140×	`associate-r_binary64`

Counts

1 → 1

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	19
1	31	16
2	82	13
3	215	13
4	504	13
5	1179	13
6	1314	13
7	1123	13
8	1123	13
9	1203	13
10	1139	13
11	1139	13
12	1064	13

prune3.0ms (0%)

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 → 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 77 to 46 computations (40.3% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite20.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`*-un-lft-identity_binary64`
6×	`associate-r_binary64`
5×	`add-sqr-sqrt_binary64`
3×	`distribute-lft-out--_binary64`
3×	`distribute-lft-out_binary64`

Counts

1 → 25

Calls

1 calls:

11.0ms

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

Compiler

Compiled 376 to 76 computations (79.8% saved)

series42.0ms (0.6%)

Error

0.0b

Counts

1 → 24

Calls

1 calls:

34.0ms

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

Compiler

Compiled 627 to 394 computations (37.2% saved)

simplify73.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

617×	`distribute-rgt-in_binary64`
603×	`distribute-lft-in_binary64`
407×	`associate-l_binary64`
332×	`exp-sum_binary64`
313×	`associate-r_binary64`

Counts

49 → 42

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	69	780
1	191	642
2	684	600
3	3027	600
4	4314	600
5	4974	600

prune23.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	41	3	44

Error

Counts

44 → 3

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))
	49.4b	(/.f64 (.f64 d1 (+.f64 (pow.f64 d4 3) (pow.f64 (-.f64 d2 (+.f64 d3 d1)) 3))) (+.f64 (.f64 d4 d4) (-.f64 (.f64 (-.f64 (-.f64 d2 d3) d1) (-.f64 (-.f64 d2 d3) 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 461 to 143 computations (69% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite80.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

19×	`add-log-exp_binary64`
6×	`diff-log_binary64`
4×	`add-sqr-sqrt_binary64`
4×	`sum-log_binary64`
3×	`cancel-sign-sub-inv_binary64`

Counts

3 → 45

Calls

3 calls:

26.0ms	(+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (*.f64 d4 d1))
6.0ms	(-.f64 (+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (.f64 d4 d1)) (.f64 d1 d1))
3.0ms	(-.f64 (.f64 d1 d2) (.f64 d1 d3))

Compiler

Compiled 1133 to 181 computations (84% saved)

series193.0ms (2.9%)

Error

Counts

3 → 60

Calls

3 calls:

103.0ms	(-.f64 (+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (.f64 d4 d1)) (.f64 d1 d1))
43.0ms	(+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (*.f64 d4 d1))
31.0ms	(-.f64 (.f64 d1 d2) (.f64 d1 d3))

Compiler

Compiled 1794 to 1030 computations (42.6% saved)

simplify92.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

640×	`associate-l_binary64`
525×	`associate-r_binary64`
450×	`distribute-rgt-in_binary64`
429×	`distribute-lft-in_binary64`
215×	`times-frac_binary64`

Counts

105 → 84

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	111	1465
1	317	1234
2	1051	1207
3	4523	1207
4	5340	1207

prune32.0ms (0.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	84	3	87

Error

Counts

87 → 3

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))
▶	49.4b	(/.f64 (.f64 d1 (+.f64 (pow.f64 d4 3) (pow.f64 (-.f64 d2 (+.f64 d3 d1)) 3))) (+.f64 (.f64 d4 d4) (-.f64 (.f64 (-.f64 (-.f64 d2 d3) d1) (-.f64 (-.f64 d2 d3) 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 829 to 234 computations (71.8% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

2.8b	(+.f64 (pow.f64 d4 3) (pow.f64 (-.f64 d2 (+.f64 d3 d1)) 3))
3.6b	(-.f64 (.f64 (-.f64 (-.f64 d2 d3) d1) (-.f64 (-.f64 d2 d3) d1)) (.f64 d4 (-.f64 (-.f64 d2 d3) d1)))
6.3b	(*.f64 d1 (+.f64 (pow.f64 d4 3) (pow.f64 (-.f64 d2 (+.f64 d3 d1)) 3)))
42.9b	(/.f64 (.f64 d1 (+.f64 (pow.f64 d4 3) (pow.f64 (-.f64 d2 (+.f64 d3 d1)) 3))) (+.f64 (.f64 d4 d4) (-.f64 (.f64 (-.f64 (-.f64 d2 d3) d1) (-.f64 (-.f64 d2 d3) d1)) (.f64 d4 (-.f64 (-.f64 d2 d3) d1)))))

rewrite179.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

92×	`*-un-lft-identity_binary64`
34×	`distribute-lft-out_binary64`
32×	`associate--l+_binary64`
30×	`associate-*r/_binary64`
25×	`cancel-sign-sub-inv_binary64`

Counts

4 → 151

Calls

4 calls:

29.0ms	(/.f64 (.f64 d1 (+.f64 (pow.f64 d4 3) (pow.f64 (-.f64 d2 (+.f64 d3 d1)) 3))) (+.f64 (.f64 d4 d4) (-.f64 (.f64 (-.f64 (-.f64 d2 d3) d1) (-.f64 (-.f64 d2 d3) d1)) (.f64 d4 (-.f64 (-.f64 d2 d3) d1)))))
20.0ms	(*.f64 d1 (+.f64 (pow.f64 d4 3) (pow.f64 (-.f64 d2 (+.f64 d3 d1)) 3)))
20.0ms	(-.f64 (.f64 (-.f64 (-.f64 d2 d3) d1) (-.f64 (-.f64 d2 d3) d1)) (.f64 d4 (-.f64 (-.f64 d2 d3) d1)))
18.0ms	(+.f64 (pow.f64 d4 3) (pow.f64 (-.f64 d2 (+.f64 d3 d1)) 3))

Compiler

Compiled 7520 to 1745 computations (76.8% saved)

series2.2s (31.8%)

Error

Counts

4 → 141

Calls

4 calls:

1.4s	(/.f64 (.f64 d1 (+.f64 (pow.f64 d4 3) (pow.f64 (-.f64 d2 (+.f64 d3 d1)) 3))) (+.f64 (.f64 d4 d4) (-.f64 (.f64 (-.f64 (-.f64 d2 d3) d1) (-.f64 (-.f64 d2 d3) d1)) (.f64 d4 (-.f64 (-.f64 d2 d3) d1)))))
271.0ms	(*.f64 d1 (+.f64 (pow.f64 d4 3) (pow.f64 (-.f64 d2 (+.f64 d3 d1)) 3)))
198.0ms	(+.f64 (pow.f64 d4 3) (pow.f64 (-.f64 d2 (+.f64 d3 d1)) 3))
130.0ms	(-.f64 (.f64 (-.f64 (-.f64 d2 d3) d1) (-.f64 (-.f64 d2 d3) d1)) (.f64 d4 (-.f64 (-.f64 d2 d3) d1)))

Compiler

Compiled 32901 to 19611 computations (40.4% saved)

simplify296.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

410×	`times-frac_binary64`
368×	`distribute-rgt-in_binary64`
289×	`cancel-sign-sub-inv_binary64`
271×	`sub-neg_binary64`
256×	`*-commutative_binary64`

Counts

292 → 274

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	845	18955
1	2750	17062
2	5412	17062

prune121.0ms (1.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	274	0	274
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	274	3	277

Error

Counts

277 → 3

Alt Table

Status	Error	Program
	0.0b	(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))
	49.4b	(/.f64 (.f64 d1 (+.f64 (pow.f64 d4 3) (pow.f64 (-.f64 d2 (+.f64 d3 d1)) 3))) (+.f64 (.f64 d4 d4) (-.f64 (.f64 (-.f64 (-.f64 d2 d3) d1) (-.f64 (-.f64 d2 d3) 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 11271 to 3318 computations (70.6% saved)

regimes257.0ms (3.8%)

Accuracy

Total 0.0b remaining (68.9%)

Threshold costs 0.0b (68.9%)

Compiler

Compiled 4558 to 2719 computations (40.3% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

20×	`cancel-sign-sub-inv_binary64`
14×	`sub-neg_binary64`
13×	`+-commutative_binary64`
12×	`distribute-rgt-neg-in_binary64`
12×	`neg-sub0_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	18
1	27	18
2	50	18
3	82	16
4	108	16
5	122	16
6	126	16
7	122	16

end6.0ms (0.1%)

Remove: (sort d2 d4)
Compiler: Compiled 45 to 27 computations (40% saved)

sample1.8s (26.3%)

Algorithm

1×

intervals

Results

747.0ms	8000×	body	128	valid
163.0ms	2336×	body	128	invalid

Compiler

Compiled 112 to 64 computations (42.9% saved)

Details

analyze1.2s (18.3%)

sample46.0ms (0.7%)

simplify85.0ms (1.3%)

prune3.0ms (0%)

localize6.0ms (0.1%)

rewrite20.0ms (0.3%)

series42.0ms (0.6%)

simplify73.0ms (1.1%)

prune23.0ms (0.3%)

localize10.0ms (0.1%)

rewrite80.0ms (1.2%)

series193.0ms (2.9%)

simplify92.0ms (1.4%)

prune32.0ms (0.5%)

localize20.0ms (0.3%)

rewrite179.0ms (2.6%)

series2.2s (31.8%)

simplify296.0ms (4.4%)

prune121.0ms (1.8%)

regimes257.0ms (3.8%)

simplify5.0ms (0.1%)

end6.0ms (0.1%)

sample1.8s (26.3%)

Profiling