Details

analyze1.3s (37.9%)

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)

sample43.0ms (1.3%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
7.0ms	83×	body	128	invalid

Compiler

Compiled 43 to 27 computations (37.2% saved)

simplify102.0ms (3%)

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)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

series44.0ms (1.3%)

Counts

3 → 132

Calls

3 calls:

21.0ms	(-.f64 (+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (.f64 d4 d1)) (.f64 d1 d1))
13.0ms	(+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (*.f64 d4 d1))
10.0ms	(-.f64 (.f64 d1 d2) (.f64 d1 d3))

rewrite17.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-log-exp_binary64`
7×	`add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64`
6×	`add-cube-cbrt_binary64`
6×	`diff-log_binary64`

Counts

3 → 64

Calls

3 calls:

7.0ms	(-.f64 (+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (.f64 d4 d1)) (.f64 d1 d1))
5.0ms	(+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (*.f64 d4 d1))
3.0ms	(-.f64 (.f64 d1 d2) (.f64 d1 d3))

simplify99.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

713×	`associate-l_binary64`
685×	`fma-def_binary64`
488×	`fma-neg_binary64`
459×	`distribute-rgt-in_binary64`
440×	`distribute-lft-in_binary64`

Counts

196 → 126

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	128	2558
1	361	2139
2	1230	2096
3	4966	2096
4	5229	2096

prune70.0ms (2.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	125	1	126
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	126	2	128

Error

Counts

128 → 2

Alt Table

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

Compiler

Compiled 2578 to 492 computations (80.9% saved)

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series19.0ms (0.6%)

Counts

1 → 48

Calls

1 calls:

19.0ms

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

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-sqr-sqrt_binary64`
3×	`add-log-exp_binary64`
3×	`fma-neg_binary64`
3×	`*-un-lft-identity_binary64`
3×	`prod-diff_binary64`

Counts

1 → 22

Calls

1 calls:

3.0ms

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

simplify65.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1029×	`fma-neg_binary64`
349×	`*-commutative_binary64`
290×	`associate-+l+_binary64`
273×	`associate-+r+_binary64`
254×	`exp-prod_binary64`

Counts

70 → 50

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	64	1302
1	156	1021
2	399	916
3	1547	909
4	3562	909
5	4996	909

prune24.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	50	2	52

Error

Counts

52 → 2

Alt Table

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

Compiler

Compiled 894 to 182 computations (79.6% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series15.0ms (0.4%)

Counts

1 → 48

Calls

1 calls:

14.0ms

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

rewrite14.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

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 → 27

Calls

1 calls:

12.0ms

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

simplify77.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

617×	`distribute-rgt-in_binary64`
603×	`distribute-lft-in_binary64`
446×	`fma-neg_binary64`
407×	`associate-l_binary64`
313×	`associate-r_binary64`

Counts

75 → 55

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	71	1262
1	195	1056
2	718	940
3	3249	940
4	4599	940
5	4980	940

prune24.0ms (0.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	55	2	57

Error

Counts

57 → 2

Alt Table

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

Compiler

Compiled 831 to 176 computations (78.8% saved)

regimes192.0ms (5.7%)

Accuracy

Total 0.0b remaining (56.6%)

Threshold costs 0.0b (56.6%)

Counts

42 → 1

Compiler

Compiled 2828 to 1794 computations (36.6% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	18	17
2	28	17
3	34	17
4	37	17
5	37	17

end6.0ms (0.2%)

Compiler: Compiled 48 to 27 computations (43.8% saved)

sample1.2s (37%)

Algorithm

1×

intervals

Results

428.0ms	8000×	body	128	valid
127.0ms	2329×	body	128	invalid

Compiler

Compiled 69 to 42 computations (39.1% saved)

Details

analyze1.3s (37.9%)

sample43.0ms (1.3%)

simplify102.0ms (3%)

prune3.0ms (0.1%)

localize9.0ms (0.3%)

series44.0ms (1.3%)

rewrite17.0ms (0.5%)

simplify99.0ms (2.9%)

prune70.0ms (2.1%)

localize8.0ms (0.3%)

series19.0ms (0.6%)

rewrite4.0ms (0.1%)

simplify65.0ms (1.9%)

prune24.0ms (0.7%)

localize6.0ms (0.2%)

series15.0ms (0.4%)

rewrite14.0ms (0.4%)

simplify77.0ms (2.3%)

prune24.0ms (0.7%)

regimes192.0ms (5.7%)

simplify3.0ms (0.1%)

end6.0ms (0.2%)

sample1.2s (37%)

Profiling