Details

analyze75.0ms (5.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
43.7%	43.7%	12.6%	7
53.1%	34.3%	12.6%	8
57.8%	23.4%	18.8%	9
63.2%	18%	18.8%	10
66%	12.1%	22%	11
68.9%	9.2%	22%	12
70.3%	6.1%	23.5%	13
71.9%	4.6%	23.5%	14

sample15.0ms (1.1%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	4×	body	80	invalid

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	18	7
1	18	7

prune5.0ms (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: 7.1b

Counts

2 → 1

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

6.6b	(* x (+ 1.0 (* y y)))

rewrite5.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 22

Calls

1 calls:

5.0ms

(* x (+ 1.0 (* y y)))

series10.0ms (0.7%)

Counts

1 → 3

Calls

1 calls:

10.0ms

(* x (+ 1.0 (* y y)))

simplify54.0ms (4%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4909	206
1	4909	206

prune52.0ms (3.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	20	5	25
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	21	5	26

Merged error: 6.9b

Counts

26 → 5

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* x (* y y)))
12.0b	(* x (* y y))

rewrite10.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-log-exp`
3×	`add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 31

Calls

2 calls:

5.0ms	(* x (* y y))
4.0ms	(+ (* x 1.0) (* x (* y y)))

series17.0ms (1.2%)

Counts

2 → 6

Calls

2 calls:

10.0ms	(+ (* x 1.0) (* x (* y y)))
7.0ms	(* x (* y y))

simplify38.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5399	271

prune57.0ms (4.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	35	2	37
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	37	5	42

Merged error: 0.0b

Counts

42 → 5

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* (* x y) y))
0.2b	(* (* x y) y)

rewrite9.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

2 → 29

Calls

2 calls:

5.0ms	(* (* x y) y)
4.0ms	(+ (* x 1.0) (* (* x y) y))

series18.0ms (1.3%)

Counts

2 → 6

Calls

2 calls:

12.0ms	(+ (* x 1.0) (* (* x y) y))
6.0ms	(* (* x y) y)

simplify32.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5034	256

prune54.0ms (4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	34	6	40

Merged error: 0.0b

Counts

40 → 6

localize9.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt (* x (+ 1.0 (* y y))))
6.6b	(* x (+ 1.0 (* y y)))
6.6b	(* x (+ 1.0 (* y y)))
6.6b	(* x (+ 1.0 (* y y)))

rewrite20.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`associate-r` `associate-l`
8×	`associate-*r/`
4×	`flip3-+` `flip-+` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`cbrt-div`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 77

Calls

4 calls:

5.0ms	(* x (+ 1.0 (* y y)))
5.0ms	(* x (+ 1.0 (* y y)))
5.0ms	(* x (+ 1.0 (* y y)))
4.0ms	(cbrt (* x (+ 1.0 (* y y))))

series64.0ms (4.7%)

Counts

4 → 12

Calls

4 calls:

35.0ms	(cbrt (* x (+ 1.0 (* y y))))
10.0ms	(* x (+ 1.0 (* y y)))
10.0ms	(* x (+ 1.0 (* y y)))
9.0ms	(* x (+ 1.0 (* y y)))

simplify60.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5648	780

prune187.0ms (13.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	88	1	89
Fresh	0	3	3
Picked	1	0	1
Done	0	2	2
Total	89	6	95

Merged error: 0.0b

Counts

95 → 6

regimes238.0ms (17.5%)

Accuracy

Total 0.1b remaining (70.2%)

Threshold costs 0.1b (70.2%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	9
1	11	9

end0.0ms (0%)

sample313.0ms (23%)

Algorithm

1×

intervals

Results

183.0ms	8000×	body	80	valid
4.0ms	170×	body	80	invalid

Details

analyze75.0ms (5.5%)

sample15.0ms (1.1%)

simplify3.0ms (0.2%)

prune5.0ms (0.3%)

localize5.0ms (0.3%)

rewrite5.0ms (0.4%)

series10.0ms (0.7%)

simplify54.0ms (4%)

prune52.0ms (3.8%)

localize6.0ms (0.4%)

rewrite10.0ms (0.7%)

series17.0ms (1.2%)

simplify38.0ms (2.8%)

prune57.0ms (4.2%)

localize6.0ms (0.4%)

rewrite9.0ms (0.7%)

series18.0ms (1.3%)

simplify32.0ms (2.3%)

prune54.0ms (4%)

localize9.0ms (0.7%)

rewrite20.0ms (1.5%)

series64.0ms (4.7%)

simplify60.0ms (4.4%)

prune187.0ms (13.7%)

regimes238.0ms (17.5%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample313.0ms (23%)

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