Details

analyze3.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
62.5%	12.5%	25%	5
68.7%	6.2%	25%	6
71.8%	3.1%	25%	7
73.4%	1.6%	25%	8
74.2%	0.8%	25%	9
74.6%	0.4%	25%	10
74.8%	0.2%	25%	11
74.9%	0.1%	25%	12
74.9%	0%	25.1%	13
74.9%	0%	25.1%	14

sample14.0ms (0.8%)

Algorithm

1×

intervals

Results

5.0ms	222×	body	80	valid
2.0ms	20×	body	1280	valid
1.0ms	9×	body	640	valid
0.0ms	3×	body	320	valid
0.0ms	2×	body	160	valid

simplify20.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	482	9
1	482	9

prune7.0ms (0.4%)

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: 0.2b

Counts

2 → 2

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(- 2.0 (* 3.0 x))
0.1b	(* x (- 2.0 (* 3.0 x)))
0.1b	(* 3.0 (* x (- 2.0 (* 3.0 x))))

rewrite15.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
7×	`sub-neg`
6×	`add-cube-cbrt` `-un-lft-identity` `associate-r/` `associate-l`
5×	`distribute-rgt-in` `distribute-lft-in` `add-log-exp`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`flip3--` `flip--`
2×	`*-commutative`
1×	`diff-log` `unswap-sqr`

Counts

3 → 57

Calls

3 calls:

6.0ms	(* 3.0 (* x (- 2.0 (* 3.0 x))))
5.0ms	(* x (- 2.0 (* 3.0 x)))
3.0ms	(- 2.0 (* 3.0 x))

series22.0ms (1.2%)

Counts

3 → 9

Calls

3 calls:

12.0ms	(* 3.0 (* x (- 2.0 (* 3.0 x))))
7.0ms	(* x (- 2.0 (* 3.0 x)))
3.0ms	(- 2.0 (* 3.0 x))

simplify49.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4945	604
1	4945	604

prune115.0ms (6.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	58	8	66
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	59	9	68

Merged error: 0.0b

Counts

68 → 9

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(- 6.0 (* x 9.0))
0.1b	(* x (- 6.0 (* x 9.0)))

rewrite9.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`sub-neg` `associate-r` `associate-l`
2×	`flip3--` `associate-*r/` `flip--`
1×	`distribute-rgt-in` `distribute-lft-in` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

5.0ms	(* x (- 6.0 (* x 9.0)))
3.0ms	(- 6.0 (* x 9.0))

series10.0ms (0.5%)

Counts

2 → 6

Calls

2 calls:

6.0ms	(* x (- 6.0 (* x 9.0)))
4.0ms	(- 6.0 (* x 9.0))

simplify45.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4942	331
1	4942	331

prune70.0ms (3.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	37	2	39
Fresh	4	3	7
Picked	0	1	1
Done	0	1	1
Total	41	7	48

Merged error: 0.0b

Counts

48 → 7

localize11.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(- 2.0 (* 3.0 x))
0.2b	(* (- 2.0 (* 3.0 x)) (cbrt 3.0))
0.3b	(* (* (cbrt 3.0) (cbrt 3.0)) (* x (* (- 2.0 (* 3.0 x)) (cbrt 3.0))))
0.4b	(* x (* (- 2.0 (* 3.0 x)) (cbrt 3.0)))

rewrite31.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`pow1` `add-exp-log`
22×	`add-cbrt-cube`
19×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
7×	`associate-l`
6×	`associate-r/` `associate-l/` `add-log-exp`
4×	`cbrt-prod` `flip3--` `flip--`
3×	`*-commutative`
2×	`unswap-sqr`
1×	`sub-neg` `diff-log`

Counts

4 → 85

Calls

4 calls:

12.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* x (* (- 2.0 (* 3.0 x)) (cbrt 3.0))))
7.0ms	(* x (* (- 2.0 (* 3.0 x)) (cbrt 3.0)))
6.0ms	(* (- 2.0 (* 3.0 x)) (cbrt 3.0))
3.0ms	(- 2.0 (* 3.0 x))

series37.0ms (2.1%)

Counts

4 → 12

Calls

4 calls:

16.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* x (* (- 2.0 (* 3.0 x)) (cbrt 3.0))))
11.0ms	(* x (* (- 2.0 (* 3.0 x)) (cbrt 3.0)))
7.0ms	(* (- 2.0 (* 3.0 x)) (cbrt 3.0))
3.0ms	(- 2.0 (* 3.0 x))

simplify63.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4953	964
1	4953	964

prune206.0ms (11.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	96	8	104

Merged error: 0b

Counts

104 → 8

localize13.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.1b	(* (- 2.0 (* x 3.0)) (cbrt (sqrt 3.0)))
0.3b	(* (* (cbrt 3.0) (cbrt 3.0)) (* x (* (* (- 2.0 (* x 3.0)) (cbrt (sqrt 3.0))) (cbrt (sqrt 3.0)))))
0.4b	(* x (* (* (- 2.0 (* x 3.0)) (cbrt (sqrt 3.0))) (cbrt (sqrt 3.0))))
0.7b	(* (* (- 2.0 (* x 3.0)) (cbrt (sqrt 3.0))) (cbrt (sqrt 3.0)))

rewrite52.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Rules

52×	`pow1` `add-exp-log`
34×	`pow-prod-down` `prod-exp` `cbrt-unprod`
31×	`add-cbrt-cube`
20×	`associate-r`
18×	`add-sqr-sqrt`
14×	`cbrt-prod` `associate-*l/`
12×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-l`
7×	`sqrt-prod`
6×	`associate-*r/`
4×	`flip3--` `*-commutative` `flip--` `add-log-exp`
3×	`unswap-sqr`

Counts

4 → 113

Calls

4 calls:

19.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* x (* (* (- 2.0 (* x 3.0)) (cbrt (sqrt 3.0))) (cbrt (sqrt 3.0)))))
11.0ms	(* x (* (* (- 2.0 (* x 3.0)) (cbrt (sqrt 3.0))) (cbrt (sqrt 3.0))))
10.0ms	(* (* (- 2.0 (* x 3.0)) (cbrt (sqrt 3.0))) (cbrt (sqrt 3.0)))
7.0ms	(* (- 2.0 (* x 3.0)) (cbrt (sqrt 3.0)))

series206.0ms (11.5%)

Counts

4 → 12

Calls

4 calls:

70.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* x (* (* (- 2.0 (* x 3.0)) (cbrt (sqrt 3.0))) (cbrt (sqrt 3.0)))))
56.0ms	(* x (* (* (- 2.0 (* x 3.0)) (cbrt (sqrt 3.0))) (cbrt (sqrt 3.0))))
44.0ms	(* (* (- 2.0 (* x 3.0)) (cbrt (sqrt 3.0))) (cbrt (sqrt 3.0)))
35.0ms	(* (- 2.0 (* x 3.0)) (cbrt (sqrt 3.0)))

simplify78.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4952	1554
1	4952	1554

prune324.0ms (18.1%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	124	1	125
Fresh	1	3	4
Picked	0	1	1
Done	0	3	3
Total	125	8	133

Merged error: 0b

Counts

133 → 8

regimes47.0ms (2.6%)

Accuracy

Total 0.2b remaining (97.2%)

Threshold costs 0.2b (97.2%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	9
1	36	9

end0.0ms (0%)

sample334.0ms (18.6%)

Algorithm

1×

intervals

Results

173.0ms	7186×	body	80	valid
37.0ms	323×	body	1280	valid
24.0ms	282×	body	640	valid
9.0ms	137×	body	320	valid
3.0ms	72×	body	160	valid
0.0ms	4×	body	80	invalid

Details

analyze3.0ms (0.2%)

sample14.0ms (0.8%)

simplify20.0ms (1.1%)

prune7.0ms (0.4%)

localize6.0ms (0.3%)

rewrite15.0ms (0.9%)

series22.0ms (1.2%)

simplify49.0ms (2.7%)

prune115.0ms (6.4%)

localize4.0ms (0.2%)

rewrite9.0ms (0.5%)

series10.0ms (0.5%)

simplify45.0ms (2.5%)

prune70.0ms (3.9%)

localize11.0ms (0.6%)

rewrite31.0ms (1.7%)

series37.0ms (2.1%)

simplify63.0ms (3.5%)

prune206.0ms (11.5%)

localize13.0ms (0.7%)

rewrite52.0ms (2.9%)

series206.0ms (11.5%)

simplify78.0ms (4.4%)

prune324.0ms (18.1%)

regimes47.0ms (2.6%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample334.0ms (18.6%)

Profiling