Details

sample24.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
3.0ms	256×	pre	80	true

simplify27.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.8b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* (* 2.0 i) (* 2.0 i)) 1.0)
17.3b	(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log` `add-cbrt-cube`
9×	`prod-exp` `cbrt-unprod`
6×	`cbrt-undiv` `div-exp`
4×	`add-log-exp`
3×	`add-sqr-sqrt`
2×	`pow1` `add-cube-cbrt` `flip3--` `-un-lft-identity` `associate-l/` `associate-/r/` `flip--`
1×	`sub-neg` `frac-2neg` `times-frac` `diff-log` `clear-num` `associate-/r` `div-inv` `associate-/l` `difference-of-squares`

Counts

2 → 40

Calls

2 calls:

32.0ms	(- (* (* 2.0 i) (* 2.0 i)) 1.0)
72.0ms	(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

series141.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(- (* (* 2.0 i) (* 2.0 i)) 1.0)
83.0ms	(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

simplify39.0ms

Counts: 46 → 46

prune85.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (* 2.0 i) (* 2.0 i)) 1.0)
0.3b	(/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))
16.4b	(/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
26×	`add-exp-log` `add-cbrt-cube`
22×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
10×	`cbrt-undiv` `div-exp` `associate-/r*`
6×	`prod-exp` `cbrt-unprod` `div-inv`
5×	`add-log-exp`
4×	`associate-/l*`
3×	`pow1`
2×	`flip3--` `frac-2neg` `associate-*l/` `clear-num` `flip--` `associate-/l/`
1×	`sub-neg` `diff-log` `associate-/r/` `difference-of-squares`

Counts

3 → 88

Calls

3 calls:

30.0ms	(- (* (* 2.0 i) (* 2.0 i)) 1.0)
35.0ms	(/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))
65.0ms	(/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)

series271.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(- (* (* 2.0 i) (* 2.0 i)) 1.0)
83.0ms	(/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))
130.0ms	(/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)

simplify61.0ms

Counts: 97 → 97

prune178.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625))
0.2b	(/ 1 (pow i 4))
0.5b	(/ 1 (pow i 2))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

45×	`times-frac`
36×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
24×	`unpow-prod-down`
21×	`add-exp-log`
15×	`associate-/r*`
12×	`div-exp`
8×	`add-log-exp` `sqr-pow`
7×	`add-cbrt-cube`
6×	`pow-to-exp` `rec-exp` `1-exp` `pow-exp` `associate-/l*`
4×	`frac-add` `unpow2`
3×	`pow1` `flip3-+` `sum-log` `flip-+`
2×	`cbrt-undiv` `pow-flip` `frac-2neg` `associate-*r/` `clear-num` `un-div-inv` `div-inv` `inv-pow`
1×	`+-commutative` `associate-+r+`

Counts

3 → 127

Calls

3 calls:

44.0ms	(+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625))
8.0ms	(/ 1 (pow i 4))
9.0ms	(/ 1 (pow i 2))

series82.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625))
33.0ms	(/ 1 (pow i 4))
18.0ms	(/ 1 (pow i 2))

simplify55.0ms

Counts: 136 → 136

prune214.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes22.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.4b

bsearch47.0ms

Steps

Iters	Range		Point
9	18.94287663705889	68681308.03810455	207.0629798232825

simplify1.0ms

end0.0ms

sample668.0ms

Algorithm

intervals

Results

372.0ms	8000×	body	80	valid
142.0ms	8000×	pre	80	true