Details

sample35.0ms

Algorithm

intervals

Results

18.0ms	256×	body	80	valid
3.0ms	256×	pre	80	true

simplify38.0ms

Counts: 1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.3b

localize20.0ms

Local error

Found 1 expressions with local error:

16.8b

(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log` `add-cbrt-cube`
9×	`prod-exp` `cbrt-unprod`
6×	`cbrt-undiv` `div-exp`
2×	`associate-*l/` `associate-/r/`
1×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `flip3--` `frac-2neg` `-un-lft-identity` `times-frac` `clear-num` `associate-/r` `flip--` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 27

Calls

1 calls:

91.0ms

(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

series111.0ms

Counts

1 → 3

Calls

1 calls:

111.0ms

(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

simplify37.0ms

Counts: 30 → 30

prune59.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))
15.9b	(/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
25×	`add-exp-log` `add-cbrt-cube`
20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`cbrt-undiv` `div-exp` `associate-/r*`
6×	`prod-exp` `cbrt-unprod` `div-inv`
4×	`associate-/l*`
2×	`pow1` `frac-2neg` `associate-*l/` `clear-num` `associate-/l/` `add-log-exp`
1×	`flip3--` `associate-/r/` `flip--`

Counts

2 → 75

Calls

2 calls:

63.0ms	(/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))
84.0ms	(/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)

series286.0ms

Counts

2 → 6

Calls

2 calls:

101.0ms	(/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))
185.0ms	(/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)

simplify52.0ms

Counts: 81 → 81

prune148.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (/ 1.0 256.0) (/ 1 (pow i 4))) (+ (* (/ 1.0 64.0) (/ 1 (pow i 2))) (/ 1.0 16.0)))
0.1b	(/ 1 (pow i 4))
0.7b	(/ 1 (pow i 2))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 147

Calls

3 calls:

80.0ms	(+ (* (/ 1.0 256.0) (/ 1 (pow i 4))) (+ (* (/ 1.0 64.0) (/ 1 (pow i 2))) (/ 1.0 16.0)))
9.0ms	(/ 1 (pow i 4))
9.0ms	(/ 1 (pow i 2))

series87.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(+ (* (/ 1.0 256.0) (/ 1 (pow i 4))) (+ (* (/ 1.0 64.0) (/ 1 (pow i 2))) (/ 1.0 16.0)))
29.0ms	(/ 1 (pow i 4))
18.0ms	(/ 1 (pow i 2))

simplify94.0ms

Counts: 156 → 156

prune427.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes29.0ms

Accuracy

100% (0.0b remaining)

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

bsearch58.0ms

Steps

Iters	Range		Point
7	951.4537895887142	20999.502087957746	1675.1195266750722

simplify56.0ms

end0.0ms

sample688.0ms

Algorithm

intervals

Results

418.0ms	8000×	body	80	valid
115.0ms	8000×	pre	80	true