Details

sample82.0ms

Algorithm

intervals

Results

54.0ms

303×

body

valid

simplify2.3s

Counts

1 → 1

Iterations

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

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.8b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (/ PI 2) a) (/ (/ PI 2) b))
0.2b	(/ (/ PI 2) a)
0.3b	(/ (/ PI 2) b)
8.8b	(/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (* (+ a b) (- b a)))

rewrite174.0ms

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:

31.0ms	(- (/ (/ PI 2) a) (/ (/ PI 2) b))
13.0ms	(/ (/ PI 2) a)
13.0ms	(/ (/ PI 2) b)
110.0ms	(/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (* (+ a b) (- b a)))

series338.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(- (/ (/ PI 2) a) (/ (/ PI 2) b))
53.0ms	(/ (/ PI 2) a)
59.0ms	(/ (/ PI 2) b)
120.0ms	(/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (* (+ a b) (- b a)))

simplify1.1s

Counts

274 → 274

Iterations

Iter	Nodes
2	3143
1	1073
0	438

prune1.5s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 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)))
0.2b	(/ (- (/ 1/2 a) (/ 1/2 b)) (- b a))
0.2b	(/ PI (+ a b))

rewrite157.0ms

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:

13.0ms	(- (/ 1/2 a) (/ 1/2 b))
87.0ms	(* (/ PI (+ a b)) (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a)))
42.0ms	(/ (- (/ 1/2 a) (/ 1/2 b)) (- b a))
8.0ms	(/ PI (+ a b))

series339.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(- (/ 1/2 a) (/ 1/2 b))
145.0ms	(* (/ PI (+ a b)) (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a)))
74.0ms	(/ (- (/ 1/2 a) (/ 1/2 b)) (- b a))
69.0ms	(/ PI (+ a b))

simplify1.4s

Counts

274 → 274

Iterations

Iter	Nodes
2	3460
1	1032
0	340

prune1.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1/2 a) (/ 1/2 b))
0.1b	(/ (* PI (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a))) (+ a b))
0.2b	(/ (- (/ 1/2 a) (/ 1/2 b)) (- b a))
0.3b	(* PI (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a)))

rewrite190.0ms

Algorithm

rewrite-expression-head

Rules

267×	`add-sqr-sqrt`
245×	`times-frac`
218×	`*-un-lft-identity`
85×	`distribute-lft-out--`
73×	`difference-of-squares`
68×	`add-cube-cbrt`
66×	`associate-r`
27×	`div-inv`
20×	`add-cbrt-cube` `add-exp-log`
13×	`associate-/l*`
9×	`associate-/r*`
6×	`pow1` `cbrt-undiv` `div-exp` `associate-/r/` `add-log-exp`
4×	`flip3--` `prod-exp` `cbrt-unprod` `insert-posit16` `flip--` `associate-/l/`
3×	`associate-l`
2×	`clear-num` `frac-2neg` `associate-*r/` `frac-sub` `distribute-lft-out` `unswap-sqr`
1×	`sub-neg` `flip3-+` `diff-log` `div-sub` `pow-prod-down` `*-commutative` `flip-+`

Counts

4 → 234

Calls

4 calls:

12.0ms	(- (/ 1/2 a) (/ 1/2 b))
38.0ms	(/ (* PI (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a))) (+ a b))
66.0ms	(/ (- (/ 1/2 a) (/ 1/2 b)) (- b a))
68.0ms	(* PI (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a)))

series324.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(- (/ 1/2 a) (/ 1/2 b))
103.0ms	(/ (* PI (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a))) (+ a b))
79.0ms	(/ (- (/ 1/2 a) (/ 1/2 b)) (- b a))
88.0ms	(* PI (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a)))

simplify1.3s

Counts

246 → 246

Iterations

Iter	Nodes
2	2704
1	850
0	314

prune1.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-cbrt-cube` `add-exp-log`
10×	`*-un-lft-identity`
8×	`cbrt-undiv` `div-exp`
7×	`times-frac`
6×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`associate-/r*` `prod-exp` `cbrt-unprod`
4×	`associate-/l*`
2×	`pow1` `clear-num` `frac-2neg` `associate-/r/` `insert-posit16` `div-inv` `distribute-lft-out` `add-log-exp`
1×	`flip3-+` `associate-*r/` `flip-+` `associate-/l/`

Counts

2 → 53

Calls

2 calls:

21.0ms	(/ (* 1/2 (/ PI (* a b))) (+ a b))
12.0ms	(/ PI (* a b))

series140.0ms

Counts

2 → 6

Calls

2 calls:

109.0ms	(/ (* 1/2 (/ PI (* a b))) (+ a b))
31.0ms	(/ PI (* a b))

simplify2.6s

Counts

59 → 59

Iterations

Iter	Nodes
3	6815
2	1075
1	294
0	109

prune248.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes91.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	14
1	14
0	12

end0.0ms

sample2.6s

Algorithm

intervals

Results

2.4s

9516×

body

valid