Details

sample87.0ms

Algorithm

intervals

Results

71.0ms

299×

body

valid

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	2008
5	2008
4	1503
3	361
2	95
1	33
0	15

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.6b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (/ PI 2) (+ a b))
0.3b	(/ (/ PI 2) (+ a b))
3.9b	(/ (/ (/ (/ PI 2) (+ a b)) (- b a)) a)
5.8b	(/ (/ (/ (/ PI 2) (+ a b)) (- b a)) b)

rewrite248.0ms

Algorithm

rewrite-expression-head

Rules

7810×	`times-frac`
4872×	`*-un-lft-identity`
3776×	`add-sqr-sqrt`
2848×	`add-cube-cbrt`
618×	`associate-/l*`
548×	`distribute-lft-out`
464×	`distribute-lft-out--` `difference-of-squares`
222×	`div-inv`
100×	`associate-/r/`
42×	`flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+`
26×	`cbrt-undiv` `div-exp`
14×	`associate-/r*`
8×	`flip3--` `flip--`
4×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `add-log-exp` `associate-/l/`

Counts

4 → 2596

Calls

4 calls:

16.0ms	(/ (/ PI 2) (+ a b))
11.0ms	(/ (/ PI 2) (+ a b))
31.0ms	(/ (/ (/ (/ PI 2) (+ a b)) (- b a)) a)
42.0ms	(/ (/ (/ (/ PI 2) (+ a b)) (- b a)) b)

series854.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(/ (/ PI 2) (+ a b))
73.0ms	(/ (/ PI 2) (+ a b))
535.0ms	(/ (/ (/ (/ PI 2) (+ a b)) (- b a)) a)
151.0ms	(/ (/ (/ (/ PI 2) (+ a b)) (- b a)) b)

simplify2.6s

Counts

2608 → 2608

Iterations

Iter	Nodes
done	2863
0	2863

prune38.3s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ b (/ 1 (- b a)))
0.3b	(/ (/ PI 2) (+ a b))
0.3b	(/ (/ PI 2) (+ a b))
3.9b	(/ (/ (/ (/ PI 2) (+ a b)) (- b a)) a)

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

4125×	`times-frac`
2597×	`*-un-lft-identity`
2021×	`add-sqr-sqrt`
1533×	`add-cube-cbrt`
325×	`associate-/l*`
288×	`distribute-lft-out`
244×	`distribute-lft-out--` `difference-of-squares`
122×	`div-inv`
61×	`associate-/r/`
37×	`add-exp-log`
33×	`add-cbrt-cube`
32×	`associate-/r*`
22×	`flip3-+` `div-exp` `flip-+`
19×	`cbrt-undiv`
8×	`flip3--` `flip--`
4×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/l/`
1×	`rec-exp` `1-exp`

Counts

4 → 1494

Calls

4 calls:

10.0ms	(/ b (/ 1 (- b a)))
11.0ms	(/ (/ PI 2) (+ a b))
22.0ms	(/ (/ PI 2) (+ a b))
37.0ms	(/ (/ (/ (/ PI 2) (+ a b)) (- b a)) a)

series365.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(/ b (/ 1 (- b a)))
89.0ms	(/ (/ PI 2) (+ a b))
92.0ms	(/ (/ PI 2) (+ a b))
121.0ms	(/ (/ (/ (/ PI 2) (+ a b)) (- b a)) a)

simplify1.7s

Counts

1506 → 1506

Iterations

Iter	Nodes
done	2000
1	2000
0	1965

prune21.9s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ b (/ 1 (- b a)))
0.2b	(/ (/ (/ PI 2) (+ a b)) (* a (- b a)))
0.3b	(/ (/ PI 2) (+ a b))
0.3b	(/ (/ PI 2) (+ a b))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

551×	`times-frac`
376×	`*-un-lft-identity`
268×	`add-sqr-sqrt`
244×	`add-cube-cbrt`
87×	`associate-/l*`
54×	`distribute-lft-out`
44×	`add-exp-log`
40×	`add-cbrt-cube`
30×	`associate-/r*`
28×	`div-inv`
24×	`div-exp`
21×	`cbrt-undiv`
19×	`associate-/r/`
12×	`distribute-lft-out--` `difference-of-squares`
5×	`flip3--` `flip--`
4×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `flip3-+` `flip-+` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`prod-exp` `cbrt-unprod` `associate-/l/`
2×	`associate-*r/`
1×	`rec-exp` `1-exp`

Counts

4 → 430

Calls

4 calls:

11.0ms	(/ b (/ 1 (- b a)))
25.0ms	(/ (/ (/ PI 2) (+ a b)) (* a (- b a)))
18.0ms	(/ (/ PI 2) (+ a b))
16.0ms	(/ (/ PI 2) (+ a b))

series272.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(/ b (/ 1 (- b a)))
87.0ms	(/ (/ (/ PI 2) (+ a b)) (* a (- b a)))
68.0ms	(/ (/ PI 2) (+ a b))
80.0ms	(/ (/ PI 2) (+ a b))

simplify1.3s

Counts

442 → 442

Iterations

Iter	Nodes
done	2000
2	2000
1	1392
0	528

prune4.5s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (/ (/ PI 2) (+ a b)) (* b (- b a)))
0.2b	(/ (/ (/ PI 2) (+ a b)) (* a (- b a)))
0.3b	(/ (/ PI 2) (+ a b))
0.3b	(/ (/ PI 2) (+ a b))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

662×	`times-frac`
430×	`*-un-lft-identity`
270×	`add-sqr-sqrt` `add-cube-cbrt`
142×	`associate-/l*`
80×	`distribute-lft-out`
56×	`add-cbrt-cube` `add-exp-log`
34×	`div-inv`
30×	`cbrt-undiv` `div-exp`
16×	`associate-/r/`
10×	`associate-/r*`
6×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+`
4×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `associate-*r/` `insert-posit16` `log1p-expm1-u` `add-log-exp` `associate-/l/`
2×	`flip3--` `flip--`

Counts

4 → 468

Calls

4 calls:

25.0ms	(/ (/ (/ PI 2) (+ a b)) (* b (- b a)))
35.0ms	(/ (/ (/ PI 2) (+ a b)) (* a (- b a)))
17.0ms	(/ (/ PI 2) (+ a b))
11.0ms	(/ (/ PI 2) (+ a b))

series352.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(/ (/ (/ PI 2) (+ a b)) (* b (- b a)))
90.0ms	(/ (/ (/ PI 2) (+ a b)) (* a (- b a)))
85.0ms	(/ (/ PI 2) (+ a b))
73.0ms	(/ (/ PI 2) (+ a b))

simplify979.0ms

Counts

480 → 480

Iterations

Iter	Nodes
done	2005
2	2005
1	1212
0	466

prune4.8s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

regimes144.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	15
1	15
0	13

end0.0ms

sample2.3s

Algorithm

intervals

Results

2.1s

9546×

body

valid