Details

sample52.0ms

Algorithm

intervals

Results

38.0ms

307×

body

valid

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
3	497
2	97
1	32
0	15

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

33685×	`times-frac`
21447×	`add-sqr-sqrt`
20743×	`*-un-lft-identity`
8301×	`add-cube-cbrt`
5307×	`difference-of-squares`
4463×	`distribute-lft-out--`
2392×	`div-inv`
1359×	`associate-/l*`
1336×	`distribute-lft-out`
124×	`associate-/r/`
87×	`associate-/r*`
32×	`add-cbrt-cube` `add-exp-log`
19×	`cbrt-undiv` `div-exp`
6×	`add-log-exp` `associate-/l/`
4×	`pow1` `div-sub` `insert-posit16`
3×	`clear-num` `frac-2neg` `flip3--` `flip--`
2×	`frac-sub`
1×	`sub-neg` `flip3-+` `diff-log` `flip-+`

Counts

4 → 8275

Calls

4 calls:

25.0ms	(- (/ 1 a) (/ 1 b))
120.0ms	(/ (/ (- (/ 1 a) (/ 1 b)) (/ (- b a) (/ PI 2))) (+ a b))
26.0ms	(/ (- b a) (/ PI 2))
66.0ms	(/ (- (/ 1 a) (/ 1 b)) (/ (- b a) (/ PI 2)))

series789.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(- (/ 1 a) (/ 1 b))
133.0ms	(/ (/ (- (/ 1 a) (/ 1 b)) (/ (- b a) (/ PI 2))) (+ a b))
101.0ms	(/ (- b a) (/ PI 2))
541.0ms	(/ (- (/ 1 a) (/ 1 b)) (/ (- b a) (/ PI 2)))

simplify7.8s

Counts

8287 → 8287

Iterations

Iter	Nodes
done	7471
0	7471

prune38.0s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 1/2 (/ PI (* a b)))
0.2b	(/ (* 1/2 (/ PI (* a b))) (+ a b))
0.4b	(/ PI (* a b))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 81

Calls

3 calls:

34.0ms	(* 1/2 (/ PI (* a b)))
32.0ms	(/ (* 1/2 (/ PI (* a b))) (+ a b))
7.0ms	(/ PI (* a b))

series201.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(* 1/2 (/ PI (* a b)))
107.0ms	(/ (* 1/2 (/ PI (* a b))) (+ a b))
40.0ms	(/ PI (* a b))

simplify1.5s

Counts

90 → 90

Iterations

Iter	Nodes
done	5001
2	1660
1	345
0	126

prune347.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

157×	`times-frac`
101×	`add-sqr-sqrt`
96×	`*-un-lft-identity`
92×	`add-cube-cbrt`
43×	`associate-r`
34×	`add-cbrt-cube` `add-exp-log`
17×	`associate-/l*`
14×	`cbrt-undiv` `div-exp`
11×	`div-inv`
10×	`associate-/r*`
6×	`pow1` `prod-exp` `cbrt-unprod`
4×	`insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-l` `unswap-sqr`
2×	`associate-*r/` `associate-/r/` `distribute-lft-out` `associate-/l/`
1×	`flip3-+` `pow-prod-down` `*-commutative` `flip-+`

Counts

4 → 196

Calls

4 calls:

25.0ms	(* 1/2 (/ (/ PI a) b))
35.0ms	(/ (* 1/2 (/ (/ PI a) b)) (+ a b))
21.0ms	(/ (/ PI a) b)
8.0ms	(/ PI a)

series208.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* 1/2 (/ (/ PI a) b))
79.0ms	(/ (* 1/2 (/ (/ PI a) b)) (+ a b))
29.0ms	(/ (/ PI a) b)
33.0ms	(/ PI a)

simplify1.9s

Counts

208 → 208

Iterations

Iter	Nodes
done	5001
2	3907
1	750
0	277

prune1.1s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

484×	`times-frac`
245×	`*-un-lft-identity`
241×	`add-sqr-sqrt` `add-cube-cbrt`
74×	`add-exp-log`
51×	`associate-/l*`
45×	`div-exp`
40×	`add-cbrt-cube`
24×	`div-inv`
23×	`associate-/r*`
21×	`cbrt-undiv`
8×	`prod-exp`
7×	`associate-/r/`
6×	`rec-exp` `1-exp`
5×	`pow1`
4×	`clear-num` `frac-2neg` `cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`distribute-lft-out` `associate-/l/`
1×	`flip3-+` `associate-*r/` `flip-+` `pow-flip` `inv-pow`

Counts

4 → 343

Calls

4 calls:

45.0ms	(/ (* 1/2 (/ (/ 1 (/ a PI)) b)) (+ a b))
16.0ms	(/ a PI)
14.0ms	(/ 1 (/ a PI))
22.0ms	(/ (/ 1 (/ a PI)) b)

series220.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(/ (* 1/2 (/ (/ 1 (/ a PI)) b)) (+ a b))
47.0ms	(/ a PI)
34.0ms	(/ 1 (/ a PI))
33.0ms	(/ (/ 1 (/ a PI)) b)

simplify1.2s

Counts

355 → 355

Iterations

Iter	Nodes
done	5001
1	1471
0	529

prune1.4s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes103.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	15
1	15
0	11

end0.0ms

sample2.4s

Algorithm

intervals

Results

2.1s

9477×

body

valid