Details

sample55.0ms

Algorithm

intervals

Results

44.0ms

306×

body

valid

simplify1.3s

Counts

1 → 1

Iterations

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

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (/ PI 2) (+ a b))
0.3b	(/ (/ PI 2) (+ a b))
4.1b	(/ (/ (/ (/ PI 2) (+ a b)) (- b a)) a)
6.1b	(/ (/ (/ (/ PI 2) (+ a b)) (- b a)) b)

rewrite352.0ms

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:

24.0ms	(/ (/ PI 2) (+ a b))
24.0ms	(/ (/ PI 2) (+ a b))
71.0ms	(/ (/ (/ (/ PI 2) (+ a b)) (- b a)) a)
61.0ms	(/ (/ (/ (/ PI 2) (+ a b)) (- b a)) b)

series441.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(/ (/ PI 2) (+ a b))
98.0ms	(/ (/ PI 2) (+ a b))
106.0ms	(/ (/ (/ (/ PI 2) (+ a b)) (- b a)) a)
155.0ms	(/ (/ (/ (/ PI 2) (+ a b)) (- b a)) b)

simplify2.7s

Counts

2608 → 2608

Iterations

Iter	Nodes
done	2863
0	2863

prune38.5s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ (/ (/ PI 2) (+ a b)) 1) (/ (/ 1 (- b a)) b))
0.3b	(/ (/ PI 2) (+ a b))
0.3b	(/ (/ PI 2) (+ a b))
4.1b	(/ (/ (/ (/ PI 2) (+ a b)) (- b a)) a)

rewrite639.0ms

Algorithm

rewrite-expression-head

Rules

4631×	`times-frac`
2864×	`*-un-lft-identity`
2311×	`add-sqr-sqrt`
1709×	`add-cube-cbrt`
327×	`distribute-lft-out`
322×	`associate-/l*`
241×	`distribute-lft-out--` `difference-of-squares`
178×	`associate-l` `add-exp-log`
137×	`div-inv`
118×	`div-exp`
82×	`add-cbrt-cube`
67×	`associate-r`
64×	`associate-/r/`
46×	`cbrt-undiv`
35×	`prod-exp`
28×	`unswap-sqr`
25×	`flip3-+` `flip-+`
22×	`1-exp`
12×	`cbrt-unprod`
11×	`associate-/r*`
7×	`rec-exp` `flip3--` `flip--`
6×	`pow1`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-/l/`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 1722

Calls

4 calls:

74.0ms	(* (/ (/ (/ PI 2) (+ a b)) 1) (/ (/ 1 (- b a)) b))
23.0ms	(/ (/ PI 2) (+ a b))
24.0ms	(/ (/ PI 2) (+ a b))
73.0ms	(/ (/ (/ (/ PI 2) (+ a b)) (- b a)) a)

series365.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(* (/ (/ (/ PI 2) (+ a b)) 1) (/ (/ 1 (- b a)) b))
78.0ms	(/ (/ PI 2) (+ a b))
77.0ms	(/ (/ PI 2) (+ a b))
107.0ms	(/ (/ (/ (/ PI 2) (+ a b)) (- b a)) a)

simplify1.7s

Counts

1734 → 1734

Iterations

Iter	Nodes
done	2284
0	2284

prune26.3s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite201.0ms

Algorithm

rewrite-expression-head

Rules

946×	`times-frac`
589×	`*-un-lft-identity`
556×	`add-sqr-sqrt`
394×	`add-cube-cbrt`
178×	`associate-l`
173×	`add-exp-log`
114×	`div-exp`
73×	`add-cbrt-cube`
67×	`associate-r` `distribute-lft-out`
47×	`associate-/l*`
39×	`cbrt-undiv`
37×	`div-inv`
35×	`prod-exp`
28×	`unswap-sqr`
24×	`associate-/r/`
23×	`1-exp`
21×	`distribute-lft-out--` `difference-of-squares`
12×	`cbrt-unprod`
11×	`associate-/r*`
8×	`rec-exp`
7×	`flip3--` `flip--`
6×	`pow1`
5×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-/l/`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 620

Calls

4 calls:

34.0ms	(/ (/ 1 (- b a)) b)
111.0ms	(* (/ (/ (/ PI 2) (+ a b)) 1) (/ (/ 1 (- b a)) b))
24.0ms	(/ (/ PI 2) (+ a b))
12.0ms	(/ (/ PI 2) (+ a b))

series359.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(/ (/ 1 (- b a)) b)
126.0ms	(* (/ (/ (/ PI 2) (+ a b)) 1) (/ (/ 1 (- b a)) b))
57.0ms	(/ (/ PI 2) (+ a b))
106.0ms	(/ (/ PI 2) (+ a b))

simplify1.3s

Counts

632 → 632

Iterations

Iter	Nodes
done	2001
1	2001
0	766

prune7.9s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ (/ (/ PI 2) (+ a b)) 1) (/ 1 (* b (- b a))))
0.3b	(/ (/ PI 2) (+ a b))
0.3b	(/ (/ PI 2) (+ a b))
1.1b	(/ 1 (* b (- b a)))

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

650×	`times-frac`
428×	`*-un-lft-identity`
314×	`add-sqr-sqrt`
291×	`add-cube-cbrt`
221×	`add-exp-log`
178×	`associate-l`
122×	`div-exp`
73×	`add-cbrt-cube` `prod-exp`
67×	`distribute-lft-out`
37×	`1-exp`
34×	`cbrt-undiv`
30×	`div-inv`
29×	`associate-/l*`
17×	`cbrt-unprod`
16×	`rec-exp`
14×	`associate-/r/`
9×	`pow1` `associate-/r` `associate-r*`
7×	`unswap-sqr`
5×	`flip3-+` `associate-*r/` `flip-+`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`flip3--` `pow-prod-down` `pow-flip` `flip--` `associate-/l/`
1×	`frac-times` `associate-l/` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 482

Calls

4 calls:

90.0ms	(* (/ (/ (/ PI 2) (+ a b)) 1) (/ 1 (* b (- b a))))
17.0ms	(/ (/ PI 2) (+ a b))
26.0ms	(/ (/ PI 2) (+ a b))
24.0ms	(/ 1 (* b (- b a)))

series322.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(* (/ (/ (/ PI 2) (+ a b)) 1) (/ 1 (* b (- b a))))
77.0ms	(/ (/ PI 2) (+ a b))
78.0ms	(/ (/ PI 2) (+ a b))
70.0ms	(/ 1 (* b (- b a)))

simplify1.3s

Counts

494 → 494

Iterations

Iter	Nodes
done	2000
2	2000
1	1762
0	574

prune5.6s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0b

regimes276.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	24
1	24
0	18

end0.0ms

sample2.2s

Algorithm

intervals

Results

2.0s

9656×

body

valid