Details

sample56.0ms

Algorithm

intervals

Results

15.0ms	54×	body	640	valid
10.0ms	133×	body	80	valid
7.0ms	33×	body	320	valid
6.0ms	18×	body	1280	valid
3.0ms	18×	body	160	valid

simplify102.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.7b

localize22.0ms

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))
3.6b	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

rewrite544.0ms

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:

11.0ms	(/ 1.0 (- x 1.0))
80.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
11.0ms	(/ 1.0 (+ x 1.0))
437.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

series426.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(/ 1.0 (- x 1.0))
53.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
28.0ms	(/ 1.0 (+ x 1.0))
315.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

simplify789.0ms

Counts: 126 → 126

prune339.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 1.0 x) (* (+ x 1.0) 2.0))
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)))
0.1b	(* (* (+ x 1.0) x) (- x 1.0))
14.8b	(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

rewrite289.0ms

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:

15.0ms	(- (* 1.0 x) (* (+ x 1.0) 2.0))
143.0ms	(/ (+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0)) (* (* (+ x 1.0) x) (- x 1.0)))
74.0ms	(* (* (+ x 1.0) x) (- x 1.0))
36.0ms	(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

series290.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(- (* 1.0 x) (* (+ x 1.0) 2.0))
113.0ms	(/ (+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0)) (* (* (+ x 1.0) x) (- x 1.0)))
129.0ms	(* (* (+ x 1.0) x) (- x 1.0))
4.0ms	(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

simplify572.0ms

Counts: 136 → 136

prune680.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite144.0ms

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:

23.0ms	(* (+ x 1.0) x)
59.0ms	(* (* (+ x 1.0) x) (- x 1.0))
59.0ms	(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

series346.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(* (+ x 1.0) x)
161.0ms	(* (* (+ x 1.0) x) (- x 1.0))
120.0ms	(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

simplify1.0s

Counts: 93 → 93

prune220.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (pow x 3) (* 1.0 x))
0.1b	(/ 2.0 (- (pow x 3) (* 1.0 x)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

12×	`times-frac`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`distribute-rgt-out--` `unpow3`
4×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `div-inv`

Counts

2 → 46

Calls

2 calls:

33.0ms	(- (pow x 3) (* 1.0 x))
39.0ms	(/ 2.0 (- (pow x 3) (* 1.0 x)))

series206.0ms

Counts

2 → 6

Calls

2 calls:

128.0ms	(- (pow x 3) (* 1.0 x))
78.0ms	(/ 2.0 (- (pow x 3) (* 1.0 x)))

simplify1.4s

Counts: 52 → 52

prune184.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes15.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.2s

end0.0ms

sample1.9s

Algorithm

intervals

Results

972.0ms	1895×	body	640	valid
283.0ms	4165×	body	80	valid
202.0ms	903×	body	320	valid
198.0ms	536×	body	1280	valid
54.0ms	503×	body	160	valid