Details

sample87.0ms

Algorithm

intervals

Results

68.0ms

306×

body

valid

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
5	5056
4	1336
3	350
2	92
1	30
0	15

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.4b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (/ PI 2) a) (/ (/ PI 2) b))
0.2b	(/ (/ PI 2) b)
0.3b	(/ (/ PI 2) a)
11.5b	(/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (* (+ a b) (- b a)))

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

363×	`times-frac`
240×	`add-sqr-sqrt`
216×	`*-un-lft-identity`
132×	`add-cube-cbrt`
53×	`associate-/l*`
45×	`distribute-lft-out--`
27×	`difference-of-squares`
23×	`div-inv`
19×	`add-cbrt-cube` `add-exp-log`
8×	`cbrt-undiv` `div-exp` `associate-/r/`
7×	`associate-/r*`
6×	`add-log-exp`
5×	`flip3--` `flip--` `associate-/l/`
4×	`frac-times` `pow1` `insert-posit16`
3×	`clear-num` `frac-2neg` `flip3-+` `flip-+`
2×	`associate-l/` `associate-r/` `frac-sub`
1×	`sub-neg` `diff-log` `div-sub` `prod-exp` `cbrt-unprod`

Counts

4 → 262

Calls

4 calls:

40.0ms	(- (/ (/ PI 2) a) (/ (/ PI 2) b))
14.0ms	(/ (/ PI 2) b)
15.0ms	(/ (/ PI 2) a)
99.0ms	(/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (* (+ a b) (- b a)))

series335.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(- (/ (/ PI 2) a) (/ (/ PI 2) b))
56.0ms	(/ (/ PI 2) b)
49.0ms	(/ (/ PI 2) a)
133.0ms	(/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (* (+ a b) (- b a)))

simplify1.1s

Counts

274 → 274

Iterations

Iter	Nodes
2	3143
1	1073
0	438

prune2.8s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1/2 a) (/ 1/2 b))
0.2b	(* (/ PI (+ a b)) (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a)))
0.3b	(/ PI (+ a b))
0.3b	(/ (- (/ 1/2 a) (/ 1/2 b)) (- b a))

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

288×	`add-sqr-sqrt`
268×	`times-frac`
242×	`*-un-lft-identity`
85×	`distribute-lft-out--`
82×	`add-cube-cbrt`
73×	`difference-of-squares`
66×	`associate-r`
28×	`div-inv`
20×	`add-cbrt-cube` `add-exp-log`
18×	`associate-l`
15×	`associate-/l*`
9×	`associate-/r*`
8×	`associate-/r/`
7×	`distribute-lft-out`
6×	`pow1` `cbrt-undiv` `div-exp` `add-log-exp`
4×	`flip3--` `prod-exp` `cbrt-unprod` `insert-posit16` `flip--` `unswap-sqr`
3×	`associate-/l/`
2×	`clear-num` `frac-2neg` `flip3-+` `frac-sub` `flip-+`
1×	`frac-times` `sub-neg` `diff-log` `div-sub` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 262

Calls

4 calls:

24.0ms	(- (/ 1/2 a) (/ 1/2 b))
69.0ms	(* (/ PI (+ a b)) (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a)))
8.0ms	(/ PI (+ a b))
32.0ms	(/ (- (/ 1/2 a) (/ 1/2 b)) (- b a))

series309.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(- (/ 1/2 a) (/ 1/2 b))
122.0ms	(* (/ PI (+ a b)) (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a)))
82.0ms	(/ PI (+ a b))
63.0ms	(/ (- (/ 1/2 a) (/ 1/2 b)) (- b a))

simplify1.3s

Counts

274 → 274

Iterations

Iter	Nodes
2	3343
1	1032
0	340

prune2.8s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1/2 a) (/ 1/2 b))
0.1b	(/ (* (/ PI (+ a b)) (- (/ 1/2 a) (/ 1/2 b))) (- b a))
0.3b	(* (/ PI (+ a b)) (- (/ 1/2 a) (/ 1/2 b)))
0.3b	(/ PI (+ a b))

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

62×	`*-un-lft-identity`
61×	`add-sqr-sqrt`
50×	`times-frac`
28×	`add-cube-cbrt`
20×	`add-cbrt-cube` `add-exp-log`
18×	`associate-l`
12×	`associate-r` `distribute-lft-out--`
10×	`difference-of-squares`
9×	`associate-/r*`
7×	`div-inv` `distribute-lft-out` `associate-/l/`
6×	`frac-times` `pow1` `cbrt-undiv` `flip3--` `div-exp` `associate-*r/` `associate-/r/` `flip--` `add-log-exp`
5×	`frac-sub`
4×	`prod-exp` `cbrt-unprod` `insert-posit16` `associate-/l*`
3×	`sub-neg`
2×	`distribute-rgt-in` `clear-num` `frac-2neg` `distribute-lft-in` `flip3-+` `associate-*l/` `flip-+` `unswap-sqr`
1×	`diff-log` `pow-prod-down` `*-commutative`

Counts

4 → 151

Calls

4 calls:

12.0ms	(- (/ 1/2 a) (/ 1/2 b))
45.0ms	(/ (* (/ PI (+ a b)) (- (/ 1/2 a) (/ 1/2 b))) (- b a))
91.0ms	(* (/ PI (+ a b)) (- (/ 1/2 a) (/ 1/2 b)))
16.0ms	(/ PI (+ a b))

series386.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(- (/ 1/2 a) (/ 1/2 b))
169.0ms	(/ (* (/ PI (+ a b)) (- (/ 1/2 a) (/ 1/2 b))) (- b a))
117.0ms	(* (/ PI (+ a b)) (- (/ 1/2 a) (/ 1/2 b)))
49.0ms	(/ PI (+ a b))

simplify899.0ms

Counts

163 → 163

Iterations

Iter	Nodes
2	2708
1	667
0	235

prune1.6s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 3 expressions with local error:

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

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
31×	`times-frac` `add-cbrt-cube` `add-exp-log`
29×	`add-sqr-sqrt`
24×	`add-cube-cbrt`
18×	`associate-l`
10×	`cbrt-undiv` `div-exp`
9×	`prod-exp` `cbrt-unprod`
7×	`associate-r` `distribute-lft-out`
6×	`associate-/l*`
5×	`pow1` `associate-/r*`
4×	`associate-/r/` `div-inv`
3×	`insert-posit16` `add-log-exp`
2×	`clear-num` `frac-2neg` `flip3-+` `flip-+` `unswap-sqr`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

3 → 108

Calls

3 calls:

41.0ms	(* (/ PI (+ a b)) (/ 1/2 (* a b)))
8.0ms	(/ PI (+ a b))
13.0ms	(/ 1/2 (* a b))

series237.0ms

Counts

3 → 9

Calls

3 calls:

129.0ms	(* (/ PI (+ a b)) (/ 1/2 (* a b)))
76.0ms	(/ PI (+ a b))
32.0ms	(/ 1/2 (* a b))

simplify4.4s

Counts

117 → 117

Iterations

Iter	Nodes
3	7247
2	1486
1	415
0	154

prune1.4s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes126.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
2	12
1	12
0	9

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.8s

9656×

body

valid