Details

sample29.0ms

Algorithm

intervals

Results

9.0ms	256×	pre	80	true
9.0ms	256×	body	80	valid

simplify2.8s

Counts

1 → 1

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	10	25
1	121	25
done	5000	23

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 40.1b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 2.0 (* i i))
9.9b	(* (/ i (* 2.0 (* i i))) (pow i 3))
15.1b	(/ (* (/ i (* 2.0 (* i i))) (pow i 3)) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) 2.0))
28.4b	(/ i (* 2.0 (* i i)))

rewrite332.0ms

Algorithm

rewrite-expression-head

Rules

173×	`add-exp-log`
82×	`prod-exp`
77×	`add-cbrt-cube`
56×	`div-exp`
32×	`cbrt-unprod`
22×	`cbrt-undiv`
20×	`add-sqr-sqrt`
13×	`associate-r`
12×	`pow-to-exp` `add-cube-cbrt` `*-un-lft-identity` `pow-exp`
10×	`associate-l`
9×	`pow1`
7×	`times-frac`
5×	`unswap-sqr`
4×	`unpow-prod-down` `cube-prod` `associate-l/` `associate-/l` `add-log-exp`
3×	`pow-prod-down` `div-inv`
2×	`frac-2neg` `clear-num` `associate-/r` `associate-/r/` `-commutative` `sqr-pow`
1×	`cube-mult` `flip3--` `unpow3` `flip--` `associate-/l/`

Counts

4 → 142

Calls

4 calls:

34.0ms	(* 2.0 (* i i))
101.0ms	(* (/ i (* 2.0 (* i i))) (pow i 3))
164.0ms	(/ (* (/ i (* 2.0 (* i i))) (pow i 3)) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) 2.0))
17.0ms	(/ i (* 2.0 (* i i)))

series267.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* 2.0 (* i i))
44.0ms	(* (/ i (* 2.0 (* i i))) (pow i 3))
151.0ms	(/ (* (/ i (* 2.0 (* i i))) (pow i 3)) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) 2.0))
34.0ms	(/ i (* 2.0 (* i i)))

simplify628.0ms

Counts

154 → 154

Iterations

Useful iterations: done (622.0ms)

Iter	Nodes	Cost
0	209	3131
done	5001	2863

prune421.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 0.5 (pow i 2))
15.1b	(/ (* 0.5 (pow i 2)) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) 2.0))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log`
16×	`add-cbrt-cube`
13×	`prod-exp`
11×	`add-sqr-sqrt`
8×	`div-exp` `associate-r`
5×	`add-cube-cbrt` `*-un-lft-identity` `cbrt-unprod`
4×	`cbrt-undiv` `unpow-prod-down` `unswap-sqr`
3×	`pow-to-exp` `associate-l` `pow-exp`
2×	`pow1` `associate-*l/` `associate-/r/` `unpow2` `add-log-exp` `sqr-pow`
1×	`flip3--` `frac-2neg` `times-frac` `clear-num` `associate-/r` `-commutative` `flip--` `div-inv` `associate-/l*`

Counts

2 → 54

Calls

2 calls:

12.0ms	(* 0.5 (pow i 2))
66.0ms	(/ (* 0.5 (pow i 2)) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) 2.0))

series184.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(* 0.5 (pow i 2))
133.0ms	(/ (* 0.5 (pow i 2)) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) 2.0))

simplify5.2s

Counts

60 → 60

Iterations

Useful iterations: done (5.2s)

Iter	Nodes	Cost
0	126	980
1	2969	918
done	5000	725

prune147.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ 1 (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (/ 2.0 (pow i 2))) 0.5))
0.4b	(/ 2.0 (pow i 2))
15.2b	(* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (/ 2.0 (pow i 2)))

rewrite351.0ms

Algorithm

rewrite-expression-head

Rules

85×	`times-frac`
75×	`add-exp-log`
65×	`add-sqr-sqrt`
52×	`add-cube-cbrt` `*-un-lft-identity`
42×	`div-exp`
28×	`associate-r`
24×	`add-cbrt-cube`
22×	`unpow-prod-down`
16×	`prod-exp`
15×	`associate-/r*`
10×	`cbrt-undiv`
8×	`unpow2` `sqr-pow`
7×	`div-inv`
6×	`pow1` `rec-exp` `1-exp` `associate-/l*`
5×	`pow-to-exp` `pow-exp` `unswap-sqr`
4×	`associate-l` `cbrt-unprod`
3×	`add-log-exp`
2×	`frac-times` `flip3--` `frac-2neg` `associate-*l/` `clear-num` `flip--`
1×	`pow-flip` `associate-r/` `pow-prod-down` `associate-/r/` `-commutative` `inv-pow` `difference-of-squares`

Counts

3 → 172

Calls

3 calls:

93.0ms	(/ 1 (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (/ 2.0 (pow i 2))) 0.5))
15.0ms	(/ 2.0 (pow i 2))
233.0ms	(* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (/ 2.0 (pow i 2)))

series335.0ms

Counts

3 → 9

Calls

3 calls:

128.0ms	(/ 1 (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (/ 2.0 (pow i 2))) 0.5))
29.0ms	(/ 2.0 (pow i 2))
178.0ms	(* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (/ 2.0 (pow i 2)))

simplify1.3s

Counts

181 → 181

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	294	3602
done	5000	3306

prune508.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ 1 (/ (- 8.0 (/ 2.0 (pow i 2))) 0.5))
0.4b	(/ 2.0 (pow i 2))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

273×	`times-frac`
247×	`add-sqr-sqrt`
127×	`*-un-lft-identity`
103×	`add-cube-cbrt`
60×	`difference-of-squares`
39×	`associate-/r*`
24×	`unpow-prod-down`
18×	`add-exp-log`
16×	`unpow2` `sqr-pow`
12×	`distribute-lft-out--`
10×	`div-exp`
9×	`add-cbrt-cube`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv`
3×	`pow1`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `add-log-exp`
1×	`pow-to-exp` `pow-flip` `pow-exp` `associate-/r/` `inv-pow`

Counts

2 → 197

Calls

2 calls:

66.0ms	(/ 1 (/ (- 8.0 (/ 2.0 (pow i 2))) 0.5))
8.0ms	(/ 2.0 (pow i 2))

series112.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(/ 1 (/ (- 8.0 (/ 2.0 (pow i 2))) 0.5))
49.0ms	(/ 2.0 (pow i 2))

simplify1.3s

Counts

203 → 203

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	378	4027
done	5000	3454

prune662.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes23.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	11
1	13	11
done	13	11

end0.0ms

sample967.0ms

Algorithm

intervals

Results

593.0ms	8000×	body	80	valid
159.0ms	8000×	pre	80	true