Details

sample34.0ms

Algorithm

intervals

Results

10.0ms	65×	body	640	valid
6.0ms	137×	body	80	valid
3.0ms	24×	body	320	valid
2.0ms	14×	body	1280	valid
1.0ms	16×	body	160	valid

simplify113.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.5b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite548.0ms

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:

22.0ms	(/ 1.0 (- x 1.0))
22.0ms	(/ 1.0 (+ x 1.0))
125.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
370.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

series449.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ 1.0 (- x 1.0))
36.0ms	(/ 1.0 (+ x 1.0))
44.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
337.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

simplify670.0ms

Counts: 126 → 126

prune384.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (/ 1.0 (+ x 1.0)))
0.3b	(cbrt (/ 1.0 (+ x 1.0)))
0.3b	(cbrt (/ 1.0 (+ x 1.0)))
15.9b	(+ (- (* (* (cbrt (/ 1.0 (+ x 1.0))) (cbrt (/ 1.0 (+ x 1.0)))) (cbrt (/ 1.0 (+ x 1.0)))) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

rewrite859.0ms

Algorithm

rewrite-expression-head

Rules

54×	`cbrt-prod`
48×	`*-un-lft-identity`
36×	`times-frac`
28×	`add-sqr-sqrt` `add-cube-cbrt`
15×	`cbrt-div`
10×	`distribute-lft-out`
9×	`frac-add` `add-log-exp`
7×	`frac-sub`
6×	`associate-/r/`
5×	`frac-times` `associate-*l/`
4×	`pow1` `add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+`
3×	`pow1/3` `associate-*r/` `div-inv`
2×	`associate-+l+` `sum-log`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 106

Calls

4 calls:

13.0ms	(cbrt (/ 1.0 (+ x 1.0)))
13.0ms	(cbrt (/ 1.0 (+ x 1.0)))
12.0ms	(cbrt (/ 1.0 (+ x 1.0)))
813.0ms	(+ (- (* (* (cbrt (/ 1.0 (+ x 1.0))) (cbrt (/ 1.0 (+ x 1.0)))) (cbrt (/ 1.0 (+ x 1.0)))) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

series1.1s

Counts

4 → 12

Calls

4 calls:

221.0ms	(cbrt (/ 1.0 (+ x 1.0)))
238.0ms	(cbrt (/ 1.0 (+ x 1.0)))
216.0ms	(cbrt (/ 1.0 (+ x 1.0)))
387.0ms	(+ (- (* (* (cbrt (/ 1.0 (+ x 1.0))) (cbrt (/ 1.0 (+ x 1.0)))) (cbrt (/ 1.0 (+ x 1.0)))) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

simplify966.0ms

Counts: 118 → 118

prune482.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.4b

localize23.0ms

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))
0.0b	(* (* (+ x 1.0) x) (- x 1.0))
17.5b	(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

rewrite219.0ms

Algorithm

rewrite-expression-head

Rules

46×	`associate-*l/`
22×	`flip3--` `flip--`
16×	`frac-times` `frac-add`
13×	`add-sqr-sqrt`
12×	`flip3-+` `flip-+`
11×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
10×	`associate-r`
8×	`associate-*r/` `add-log-exp`
7×	`add-cube-cbrt` `sub-neg`
6×	`distribute-rgt-in` `distribute-lft-in`
4×	`associate-+l+` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`*-commutative` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `diff-log` `sum-log` `unswap-sqr`

Counts

4 → 107

Calls

4 calls:

16.0ms	(- (* 1.0 x) (* (+ x 1.0) 2.0))
55.0ms	(* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0))
94.0ms	(* (* (+ x 1.0) x) (- x 1.0))
43.0ms	(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

series278.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(- (* 1.0 x) (* (+ x 1.0) 2.0))
50.0ms	(* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0))
162.0ms	(* (* (+ 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))

simplify2.4s

Counts: 119 → 119

prune506.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.4b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1.0) x)
0.0b	(* (* (+ x 1.0) x) (- x 1.0))
0.4b	(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

rewrite184.0ms

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:

43.0ms	(* (+ x 1.0) x)
82.0ms	(* (* (+ x 1.0) x) (- x 1.0))
49.0ms	(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

series324.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(* (+ x 1.0) x)
142.0ms	(* (* (+ x 1.0) x) (- x 1.0))
123.0ms	(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

simplify1.1s

Counts: 93 → 93

prune217.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes20.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0s

end0.0ms

sample1.5s

Algorithm

intervals

Results

498.0ms	1844×	body	640	valid
360.0ms	4162×	body	80	valid
275.0ms	968×	body	320	valid
148.0ms	541×	body	1280	valid
52.0ms	487×	body	160	valid