Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

sample28.0ms (1.2%)

Algorithm

1×

intervals

Results

10.0ms	256×	pre	80	true
9.0ms	256×	body	80	valid

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	135	9
1	135	9

prune6.0ms (0.3%)

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: 3.7b

Counts

2 → 1

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.4b	(+ b (+ c d))
2.8b	(+ a (+ b (+ c d)))

rewrite13.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`*-un-lft-identity` `add-log-exp`
9×	`sum-log` `distribute-lft-out`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

2 → 32

Calls

2 calls:

7.0ms	(+ a (+ b (+ c d)))
5.0ms	(+ b (+ c d))

series13.0ms (0.6%)

Counts

2 → 6

Calls

2 calls:

9.0ms	(+ a (+ b (+ c d)))
4.0ms	(+ b (+ c d))

simplify32.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	4924	307
1	4924	307

prune71.0ms (3.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	32	6	38
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	33	6	39

Merged error: 2.3b

Counts

39 → 6

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

2.8b	(+ a (+ (+ b c) d))

rewrite8.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity` `add-log-exp`
6×	`sum-log` `distribute-lft-out`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

1 → 17

Calls

1 calls:

8.0ms

(+ a (+ (+ b c) d))

series8.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

8.0ms

(+ a (+ (+ b c) d))

simplify28.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5390	181

prune39.0ms (1.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	20	0	20
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	20	6	26

Merged error: 2.3b

Counts

26 → 6

localize9.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.4b	(+ b (+ c d))
0.6b	(cbrt (pow (+ a (+ b (+ c d))) 3))
2.8b	(+ a (+ b (+ c d)))

rewrite23.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`*-un-lft-identity`
21×	`distribute-lft-out`
18×	`cbrt-prod`
17×	`add-log-exp`
9×	`sum-log`
6×	`add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `cube-prod`
3×	`pow1` `add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`+-commutative` `cube-div` `cbrt-div` `associate-+r+`
1×	`cube-mult` `pow1/3` `unpow3` `rem-cbrt-cube` `sqr-pow`

Counts

3 → 61

Calls

3 calls:

8.0ms	(cbrt (pow (+ a (+ b (+ c d))) 3))
8.0ms	(+ a (+ b (+ c d)))
5.0ms	(+ b (+ c d))

series24.0ms (1%)

Counts

3 → 9

Calls

3 calls:

12.0ms	(cbrt (pow (+ a (+ b (+ c d))) 3))
8.0ms	(+ a (+ b (+ c d)))
4.0ms	(+ b (+ c d))

simplify28.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5247	680

prune147.0ms (6.4%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	60	10	70
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	61	15	76

Merged error: 2.2b

Counts

76 → 15

localize9.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.6b	(cbrt (pow (+ a (+ (+ b c) d)) 3))
2.8b	(+ a (+ (+ b c) d))

rewrite17.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`*-un-lft-identity`
18×	`cbrt-prod` `distribute-lft-out`
11×	`add-log-exp`
6×	`unpow-prod-down` `cube-prod` `sum-log`
5×	`add-sqr-sqrt` `add-cube-cbrt`
2×	`pow1` `add-exp-log` `cube-div` `cbrt-div` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`+-commutative` `cube-mult` `associate-+r+` `pow1/3` `unpow3` `rem-cbrt-cube` `sqr-pow`

Counts

2 → 46

Calls

2 calls:

8.0ms	(cbrt (pow (+ a (+ (+ b c) d)) 3))
8.0ms	(+ a (+ (+ b c) d))

series21.0ms (0.9%)

Counts

2 → 6

Calls

2 calls:

12.0ms	(cbrt (pow (+ a (+ (+ b c) d)) 3))
10.0ms	(+ a (+ (+ b c) d))

simplify59.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4971	554
1	4971	554

prune78.0ms (3.4%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	1	12	13
Picked	0	1	1
Done	0	1	1
Total	52	15	67

Merged error: 2.2b

Counts

67 → 15

regimes943.0ms (40.9%)

Accuracy

Total 0.5b remaining (18.3%)

Threshold costs 0.5b (18.3%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	9
1	13	9

end0.0ms (0%)

sample678.0ms (29.4%)

Algorithm

1×

intervals

Results

297.0ms	8000×	pre	80	true
197.0ms	8000×	body	80	valid

Details

analyze3.0ms (0.1%)

sample28.0ms (1.2%)

simplify4.0ms (0.2%)

prune6.0ms (0.3%)

localize6.0ms (0.3%)

rewrite13.0ms (0.6%)

series13.0ms (0.6%)

simplify32.0ms (1.4%)

prune71.0ms (3.1%)

localize6.0ms (0.3%)

rewrite8.0ms (0.4%)

series8.0ms (0.3%)

simplify28.0ms (1.2%)

prune39.0ms (1.7%)

localize9.0ms (0.4%)

rewrite23.0ms (1%)

series24.0ms (1%)

simplify28.0ms (1.2%)

prune147.0ms (6.4%)

localize9.0ms (0.4%)

rewrite17.0ms (0.8%)

series21.0ms (0.9%)

simplify59.0ms (2.6%)

prune78.0ms (3.4%)

regimes943.0ms (40.9%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample678.0ms (29.4%)

Profiling