Details

analyze1.8s (1.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	74.9%	25.1%	0
0%	74.9%	25.1%	1
0%	74.9%	25.1%	2
18.7%	56.2%	25.1%	3
37.5%	37.5%	25.1%	4
42.1%	32.8%	25.1%	5
46.8%	28.1%	25.1%	6
48%	26.9%	25.1%	7
49.2%	25.8%	25.1%	8
49.5%	25.5%	25.1%	9
49.8%	25.2%	25.1%	10
49.8%	25.2%	25.1%	11
49.8%	25.1%	25.1%	12
49.9%	25%	25.1%	13
49.9%	25%	25.1%	14

Compiler

Compiled 126 to 112 computations (11.1% saved)

sample2.5s (2.6%)

Algorithm

1×

intervals

Results

2.4s	115×	body	8192	exit
83.0ms	256×	body	128	valid
7.0ms	373×	pre	128	true
1.0ms	2×	body	128	invalid

Compiler

Compiled 249 to 223 computations (10.4% saved)

simplify37.0ms (0%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	4794	115
1	4794	115

prune20.0ms (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

Merged error: 1.8b

Counts

2 → 2

Compiler

Compiled 468 to 403 computations (13.9% saved)

localize58.0ms (0.1%)

Local error

Found 4 expressions with local error:

5.6b	(-.f64 (-.f64 1 z) 1)
5.6b	(-.f64 (-.f64 1 z) 1)
5.6b	(-.f64 (-.f64 1 z) 1)
5.6b	(-.f64 (-.f64 1 z) 1)

rewrite73.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`*-un-lft-identity_binary64`
28×	`add-sqr-sqrt_binary64`
24×	`add-log-exp_binary64` `cancel-sign-sub-inv_binary64`
16×	`associate--l+_binary64`
12×	`diff-log_binary64` `add-cube-cbrt_binary64` `distribute-lft-out--_binary64`
8×	`sub-neg_binary64` `difference-of-squares_binary64`
4×	`pow1_binary64` `flip3--_binary64` `associate--l-_binary64` `difference-of-sqr-1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip--_binary64`

Counts

4 → 100

Calls

4 calls:

16.0ms	(-.f64 (-.f64 1 z) 1)
10.0ms	(-.f64 (-.f64 1 z) 1)
10.0ms	(-.f64 (-.f64 1 z) 1)
10.0ms	(-.f64 (-.f64 1 z) 1)

series70.0ms (0.1%)

Counts

4 → 12

Calls

4 calls:

18.0ms	(-.f64 (-.f64 1 z) 1)
18.0ms	(-.f64 (-.f64 1 z) 1)
18.0ms	(-.f64 (-.f64 1 z) 1)
17.0ms	(-.f64 (-.f64 1 z) 1)

simplify73.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4805	704
1	4805	704

prune1.3s (1.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	112	2	114

Merged error: 1.8b

Counts

114 → 2

Compiler

Compiled 14868 to 12595 computations (15.3% saved)

localize57.0ms (0.1%)

Local error

Found 4 expressions with local error:

5.6b	(-.f64 (-.f64 1 z) 1)
5.6b	(-.f64 (-.f64 1 z) 1)
5.6b	(-.f64 (-.f64 1 z) 1)
5.6b	(-.f64 (-.f64 1 z) 1)

rewrite66.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`*-un-lft-identity_binary64`
28×	`add-sqr-sqrt_binary64`
24×	`add-log-exp_binary64` `cancel-sign-sub-inv_binary64`
16×	`associate--l+_binary64`
12×	`diff-log_binary64` `add-cube-cbrt_binary64` `distribute-lft-out--_binary64`
8×	`sub-neg_binary64` `difference-of-squares_binary64`
4×	`pow1_binary64` `flip3--_binary64` `associate--l-_binary64` `difference-of-sqr-1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip--_binary64`

Counts

4 → 100

Calls

4 calls:

10.0ms	(-.f64 (-.f64 1 z) 1)
10.0ms	(-.f64 (-.f64 1 z) 1)
10.0ms	(-.f64 (-.f64 1 z) 1)
10.0ms	(-.f64 (-.f64 1 z) 1)

series78.0ms (0.1%)

Counts

4 → 12

Calls

4 calls:

24.0ms	(-.f64 (-.f64 1 z) 1)
19.0ms	(-.f64 (-.f64 1 z) 1)
18.0ms	(-.f64 (-.f64 1 z) 1)
17.0ms	(-.f64 (-.f64 1 z) 1)

simplify70.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4805	704
1	4805	704

prune1.0s (1.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	110	2	112
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	110	4	114

Merged error: 1.8b

Counts

114 → 4

Compiler

Compiled 14633 to 12230 computations (16.4% saved)

localize62.0ms (0.1%)

Local error

Found 4 expressions with local error:

5.6b	(-.f64 (-.f64 1 z) 1)
5.6b	(-.f64 (-.f64 1 z) 1)
5.6b	(-.f64 (-.f64 1 z) 1)
5.6b	(-.f64 (-.f64 1 z) 1)

rewrite72.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`*-un-lft-identity_binary64`
28×	`add-sqr-sqrt_binary64`
24×	`add-log-exp_binary64` `cancel-sign-sub-inv_binary64`
16×	`associate--l+_binary64`
12×	`diff-log_binary64` `add-cube-cbrt_binary64` `distribute-lft-out--_binary64`
8×	`sub-neg_binary64` `difference-of-squares_binary64`
4×	`pow1_binary64` `flip3--_binary64` `associate--l-_binary64` `difference-of-sqr-1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip--_binary64`

Counts

4 → 100

Calls

4 calls:

10.0ms	(-.f64 (-.f64 1 z) 1)
10.0ms	(-.f64 (-.f64 1 z) 1)
10.0ms	(-.f64 (-.f64 1 z) 1)
10.0ms	(-.f64 (-.f64 1 z) 1)

series84.0ms (0.1%)

Counts

4 → 12

Calls

4 calls:

22.0ms	(-.f64 (-.f64 1 z) 1)
21.0ms	(-.f64 (-.f64 1 z) 1)
21.0ms	(-.f64 (-.f64 1 z) 1)
19.0ms	(-.f64 (-.f64 1 z) 1)

simplify67.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4805	704
1	4805	704

prune1.0s (1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	110	2	112
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	110	6	116

Merged error: 1.8b

Counts

116 → 6

Compiler

Compiled 14873 to 12283 computations (17.4% saved)

localize63.0ms (0.1%)

Local error

Found 4 expressions with local error:

5.6b	(-.f64 (-.f64 1 z) 1)
5.6b	(-.f64 (-.f64 1 z) 1)
5.6b	(-.f64 (-.f64 1 z) 1)
5.6b	(-.f64 (-.f64 1 z) 1)

rewrite73.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`*-un-lft-identity_binary64`
28×	`add-sqr-sqrt_binary64`
24×	`add-log-exp_binary64` `cancel-sign-sub-inv_binary64`
16×	`associate--l+_binary64`
12×	`diff-log_binary64` `add-cube-cbrt_binary64` `distribute-lft-out--_binary64`
8×	`sub-neg_binary64` `difference-of-squares_binary64`
4×	`pow1_binary64` `flip3--_binary64` `associate--l-_binary64` `difference-of-sqr-1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip--_binary64`

Counts

4 → 100

Calls

4 calls:

16.0ms	(-.f64 (-.f64 1 z) 1)
10.0ms	(-.f64 (-.f64 1 z) 1)
10.0ms	(-.f64 (-.f64 1 z) 1)
10.0ms	(-.f64 (-.f64 1 z) 1)

series72.0ms (0.1%)

Counts

4 → 12

Calls

4 calls:

19.0ms	(-.f64 (-.f64 1 z) 1)
18.0ms	(-.f64 (-.f64 1 z) 1)
17.0ms	(-.f64 (-.f64 1 z) 1)
17.0ms	(-.f64 (-.f64 1 z) 1)

simplify68.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4805	704
1	4805	704

prune1.1s (1.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	110	2	112
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	110	8	118

Merged error: 1.8b

Counts

118 → 8

Compiler

Compiled 14813 to 11881 computations (19.8% saved)

regimes93.0ms (0.1%)

Compiler: Compiled 899 to 783 computations (12.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	104	115
1	104	115

end0.0ms (0%)

sample1.5min (89.8%)

Algorithm

1×

intervals

Results

1.4min	3958×	body	8192	exit
2.7s	8000×	body	128	valid
239.0ms	12048×	pre	128	true
31.0ms	90×	body	128	invalid

Compiler

Compiled 1097 to 955 computations (12.9% saved)

Details

analyze1.8s (1.8%)

sample2.5s (2.6%)

simplify37.0ms (0%)

prune20.0ms (0%)

localize58.0ms (0.1%)

rewrite73.0ms (0.1%)

series70.0ms (0.1%)

simplify73.0ms (0.1%)

prune1.3s (1.3%)

localize57.0ms (0.1%)

rewrite66.0ms (0.1%)

series78.0ms (0.1%)

simplify70.0ms (0.1%)

prune1.0s (1.1%)

localize62.0ms (0.1%)

rewrite72.0ms (0.1%)

series84.0ms (0.1%)

simplify67.0ms (0.1%)

prune1.0s (1%)

localize63.0ms (0.1%)

rewrite73.0ms (0.1%)

series72.0ms (0.1%)

simplify68.0ms (0.1%)

prune1.1s (1.1%)

regimes93.0ms (0.1%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.5min (89.8%)

Profiling