Details

sample27.0ms

Algorithm

intervals

Results

8.0ms	68×	body	640	valid
4.0ms	120×	body	80	valid
4.0ms	43×	body	320	valid
3.0ms	20×	body	1280	valid
0.0ms	5×	body	160	valid

simplify80.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.1b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
0.0b	(/ 1.0 (+ x 1.0))
1.9b	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

rewrite337.0ms

Algorithm

rewrite-expression-head

Rules

83×	`*-un-lft-identity`
47×	`times-frac`
43×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
14×	`distribute-lft-out--`
13×	`distribute-lft-out`
11×	`add-log-exp`
9×	`associate-/r*`
8×	`add-exp-log` `add-cbrt-cube` `difference-of-squares`
6×	`associate-/l*`
4×	`pow1` `associate-/r/`
3×	`flip3--` `frac-add` `flip--`
2×	`cbrt-undiv` `sub-neg` `associate-+l+` `frac-2neg` `flip3-+` `diff-log` `div-exp` `clear-num` `sum-log` `frac-sub` `flip-+` `div-inv`
1×	`+-commutative` `associate-+l-`

Counts

4 → 114

Calls

4 calls:

10.0ms	(/ 1.0 (- x 1.0))
54.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
10.0ms	(/ 1.0 (+ x 1.0))
257.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

series293.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ 1.0 (- x 1.0))
40.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
26.0ms	(/ 1.0 (+ x 1.0))
202.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

simplify493.0ms

Counts: 126 → 126

prune229.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(* (+ x 1.0) x)
1.2b	(+ (/ (- (* 1.0 x) (* (+ x 1.0) 2.0)) (* (+ x 1.0) x)) (/ 1.0 (- x 1.0)))
16.0b	(/ (- (* 1.0 x) (* (+ x 1.0) 2.0)) (* (+ x 1.0) x))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
28×	`add-sqr-sqrt`
18×	`add-cube-cbrt` `times-frac`
13×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-l` `associate-*l/` `associate-/r/` `distribute-lft-out--` `difference-of-squares`
3×	`cbrt-undiv` `flip3-+` `div-exp` `associate-r` `flip-+`
2×	`flip3--` `frac-2neg` `div-sub` `prod-exp` `clear-num` `flip--` `cbrt-unprod` `div-inv` `associate-/l/` `distribute-lft-out`
1×	`+-commutative` `associate-+l-` `pow-prod-down` `frac-add` `sum-log` `*-commutative` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

11.0ms	(/ 1.0 (- x 1.0))
18.0ms	(* (+ x 1.0) x)
64.0ms	(+ (/ (- (* 1.0 x) (* (+ x 1.0) 2.0)) (* (+ x 1.0) x)) (/ 1.0 (- x 1.0)))
27.0ms	(/ (- (* 1.0 x) (* (+ x 1.0) 2.0)) (* (+ x 1.0) x))

series398.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ 1.0 (- x 1.0))
43.0ms	(* (+ x 1.0) x)
268.0ms	(+ (/ (- (* 1.0 x) (* (+ x 1.0) 2.0)) (* (+ x 1.0) x)) (/ 1.0 (- x 1.0)))
62.0ms	(/ (- (* 1.0 x) (* (+ x 1.0) 2.0)) (* (+ x 1.0) x))

simplify680.0ms

Counts: 110 → 110

prune195.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ 1 (pow x 5))
0.2b	(/ 1 (pow x 7))
0.2b	(/ 1 (pow x 3))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
60×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
36×	`unpow-prod-down`
30×	`add-exp-log`
26×	`associate-/r*`
18×	`div-exp`
12×	`cube-prod` `sqr-pow`
9×	`pow-to-exp` `rec-exp` `1-exp` `pow-exp` `add-cbrt-cube` `associate-/l*`
4×	`cube-mult` `unpow3`
3×	`pow1` `cbrt-undiv` `pow-flip` `frac-2neg` `clear-num` `div-inv` `inv-pow` `add-log-exp`

Counts

3 → 179

Calls

3 calls:

12.0ms	(/ 1 (pow x 5))
8.0ms	(/ 1 (pow x 7))
8.0ms	(/ 1 (pow x 3))

series129.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(/ 1 (pow x 5))
57.0ms	(/ 1 (pow x 7))
31.0ms	(/ 1 (pow x 3))

simplify439.0ms

Counts: 188 → 188

prune255.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ 1 (pow x 5))
0.2b	(/ 1 (pow x 7))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

42×	`times-frac`
34×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
24×	`unpow-prod-down`
20×	`add-exp-log`
14×	`associate-/r*`
12×	`div-exp`
8×	`sqr-pow`
6×	`pow-to-exp` `rec-exp` `1-exp` `pow-exp` `add-cbrt-cube` `associate-/l*`
2×	`pow1` `cbrt-undiv` `pow-flip` `frac-2neg` `clear-num` `div-inv` `inv-pow` `add-log-exp`

Counts

2 → 106

Calls

2 calls:

8.0ms	(/ 1 (pow x 5))
8.0ms	(/ 1 (pow x 7))

series99.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(/ 1 (pow x 5))
53.0ms	(/ 1 (pow x 7))

simplify949.0ms

Counts: 112 → 112

prune156.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes41.0ms

Accuracy

93.2% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 9.8b

bsearch1.0ms

simplify528.0ms

end0.0ms

sample1.2s

Algorithm

intervals

Results

480.0ms	4190×	body	80	valid
315.0ms	1860×	body	640	valid
121.0ms	592×	body	1280	valid
83.0ms	898×	body	320	valid
61.0ms	461×	body	160	valid