Details

sample42.0ms

Algorithm

intervals

Results

12.0ms	54×	body	640	valid
8.0ms	140×	body	80	valid
5.0ms	34×	body	320	valid
3.0ms	13×	body	1280	valid
1.0ms	15×	body	160	valid

simplify11.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.1b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
2.3b	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

rewrite568.0ms

Algorithm

rewrite-expression-head

Rules

65×	`*-un-lft-identity`
35×	`times-frac`
33×	`add-sqr-sqrt`
14×	`distribute-lft-out--`
13×	`add-cube-cbrt`
10×	`add-log-exp`
9×	`distribute-lft-out`
8×	`difference-of-squares`
5×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
3×	`pow1` `flip3--` `frac-add` `flip--` `associate-/l*`
2×	`sub-neg` `associate-+l+` `diff-log` `sum-log` `associate-/r/` `frac-sub`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

3 → 81

Calls

3 calls:

23.0ms	(/ 1.0 (- x 1.0))
87.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
450.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

series431.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(/ 1.0 (- x 1.0))
74.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
316.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

simplify101.0ms

Counts: 90 → 90

prune317.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.3b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0)) (* (* (+ x 1.0) x) (- x 1.0)))
0.0b	(* (* (+ x 1.0) x) (- x 1.0))
0.2b	(- (* 1.0 x) (* (+ x 1.0) 2.0))
17.0b	(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

rewrite257.0ms

Algorithm

rewrite-expression-head

Rules

88×	`associate-*l/`
32×	`frac-add`
31×	`flip3--` `flip--`
24×	`frac-times` `flip3-+` `flip-+`
18×	`add-exp-log` `add-cbrt-cube` `associate-/l/`
12×	`associate-*r/`
9×	`pow1` `add-sqr-sqrt` `*-un-lft-identity`
8×	`associate-/r/` `add-log-exp`
7×	`add-cube-cbrt`
6×	`prod-exp` `cbrt-unprod`
5×	`sub-neg` `associate-r`
4×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
3×	`cbrt-undiv` `times-frac` `div-exp` `pow-prod-down` `associate-/l*`
1×	`+-commutative` `frac-2neg` `diff-log` `associate-l` `clear-num` `associate-/r` `sum-log` `-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 124

Calls

4 calls:

141.0ms	(/ (+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0)) (* (* (+ x 1.0) x) (- x 1.0)))
51.0ms	(* (* (+ x 1.0) x) (- x 1.0))
8.0ms	(- (* 1.0 x) (* (+ x 1.0) 2.0))
51.0ms	(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

series354.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(/ (+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0)) (* (* (+ x 1.0) x) (- x 1.0)))
142.0ms	(* (* (+ x 1.0) x) (- x 1.0))
61.0ms	(- (* 1.0 x) (* (+ x 1.0) 2.0))
2.0ms	(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

simplify73.0ms

Counts: 136 → 136

prune734.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1.0) x)
0.0b	(* (* (+ x 1.0) x) (- x 1.0))
0.3b	(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 84

Calls

3 calls:

31.0ms	(* (+ x 1.0) x)
44.0ms	(* (* (+ x 1.0) x) (- x 1.0))
49.0ms	(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

series332.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(* (+ x 1.0) x)
146.0ms	(* (* (+ x 1.0) x) (- x 1.0))
120.0ms	(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

simplify59.0ms

Counts: 93 → 93

prune258.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1.0) x)
0.0b	(/ (/ 2.0 (* (+ x 1.0) x)) (- x 1.0))
0.1b	(/ 2.0 (* (+ x 1.0) x))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

66×	`times-frac`
51×	`add-sqr-sqrt` `*-un-lft-identity`
29×	`add-cube-cbrt`
19×	`add-exp-log` `add-cbrt-cube`
16×	`associate-*l/` `associate-/r/`
12×	`associate-/l*`
10×	`distribute-lft-out--` `difference-of-squares`
8×	`flip3-+` `flip-+` `div-inv`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r*`
5×	`pow1`
4×	`associate-l`
3×	`associate-r` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`flip3--` `pow-prod-down` `*-commutative` `flip--` `associate-/l/` `distribute-lft-out` `unswap-sqr`

Counts

3 → 122

Calls

3 calls:

21.0ms	(* (+ x 1.0) x)
50.0ms	(/ (/ 2.0 (* (+ x 1.0) x)) (- x 1.0))
21.0ms	(/ 2.0 (* (+ x 1.0) x))

series248.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(* (+ x 1.0) x)
141.0ms	(/ (/ 2.0 (* (+ x 1.0) x)) (- x 1.0))
47.0ms	(/ 2.0 (* (+ x 1.0) x))

simplify71.0ms

Counts: 131 → 131

prune348.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes14.0ms

Accuracy

34.4% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify64.0ms

end0.0ms

sample1.5s

Algorithm

intervals

Results

522.0ms	1862×	body	640	valid
284.0ms	554×	body	1280	valid
226.0ms	4203×	body	80	valid
204.0ms	927×	body	320	valid
47.0ms	455×	body	160	valid