Details

sample127.0ms

Algorithm

intervals

Results

62.0ms	45×	body	640	valid
28.0ms	56×	body	1280	valid
17.0ms	122×	body	80	valid
6.0ms	20×	body	320	valid
3.0ms	13×	body	160	valid

simplify374.0ms

Counts: 1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.5b

localize25.0ms

Local error

Found 3 expressions with local error:

3.6b	(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))
0.0b	(/ (+ x 1) (- x 1))
0.0b	(/ x (+ x 1))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

110×	`*-un-lft-identity`
60×	`times-frac`
57×	`add-sqr-sqrt`
25×	`add-cube-cbrt`
20×	`distribute-lft-out`
18×	`distribute-lft-out--`
14×	`difference-of-squares`
11×	`associate-/r*`
7×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
5×	`difference-of-sqr-1` `add-log-exp`
4×	`associate-/r/`
3×	`pow1` `insert-posit16`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `div-exp` `flip-+` `div-inv` `flip--` `associate-/l/`
1×	`sub-neg` `diff-log` `frac-sub`

Counts

3 → 117

Calls

3 calls:

Slowest

74.0ms	(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))
20.0ms	(/ (+ x 1) (- x 1))
15.0ms	(/ x (+ x 1))

series201.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

116.0ms	(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))
44.0ms	(/ x (+ x 1))
41.0ms	(/ (+ x 1) (- x 1))

simplify1.6s

Counts: 126 → 126

prune971.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

5.4b	(+ (* (/ (/ -1 (* x x)) x) 3) (- (/ -1 (* x x)) (/ 3 x)))
0.2b	(/ -1 (* x x))
0.2b	(/ -1 (* x x))
0.1b	(* (/ (/ -1 (* x x)) x) 3)

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

39×	`times-frac`
31×	`add-sqr-sqrt`
28×	`add-cbrt-cube` `add-exp-log`
25×	`associate-l`
23×	`*-un-lft-identity` `add-cube-cbrt`
9×	`cbrt-undiv` `div-exp` `add-log-exp`
7×	`prod-exp` `cbrt-unprod`
6×	`pow1` `div-inv` `associate-/l*`
4×	`associate-*l/` `insert-posit16`
3×	`associate-r` `frac-add` `unswap-sqr`
2×	`associate-+r+` `clear-num` `associate-/r*` `sum-log` `frac-2neg`
1×	`+-commutative` `associate-+r-` `sub-neg` `flip3-+` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `frac-sub` `flip-+` `flip--`

Counts

4 → 113

Calls

4 calls:

Slowest

79.0ms	(+ (* (/ (/ -1 (* x x)) x) 3) (- (/ -1 (* x x)) (/ 3 x)))
42.0ms	(* (/ (/ -1 (* x x)) x) 3)
12.0ms	(/ -1 (* x x))
11.0ms	(/ -1 (* x x))

series169.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

75.0ms	(* (/ (/ -1 (* x x)) x) 3)
34.0ms	(/ -1 (* x x))
31.0ms	(+ (* (/ (/ -1 (* x x)) x) 3) (- (/ -1 (* x x)) (/ 3 x)))
30.0ms	(/ -1 (* x x))

simplify751.0ms

Counts: 125 → 125

prune916.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

5.4b	(+ (* (/ 3 x) (/ (/ -1 x) x)) (/ (/ -1 x) x))
0.1b	(/ (/ -1 x) x)
0.1b	(/ (/ -1 x) x)
0.1b	(* (/ 3 x) (/ (/ -1 x) x))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

237×	`times-frac`
151×	`add-sqr-sqrt`
136×	`*-un-lft-identity`
130×	`add-cube-cbrt`
43×	`associate-r`
35×	`add-cbrt-cube` `add-exp-log`
26×	`associate-/l*`
15×	`cbrt-undiv` `div-exp` `div-inv`
13×	`associate-l`
6×	`pow1` `associate-/r*` `prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
4×	`insert-posit16`
3×	`distribute-rgt-out` `frac-add`
2×	`frac-times` `clear-num` `frac-2neg` `associate-l/` `associate-r/` `associate-/l/`
1×	`+-commutative` `sum-log` `distribute-lft1-in` `flip3-+` `pow-prod-down` `*-commutative` `flip-+`

Counts

4 → 248

Calls

4 calls:

Slowest

16.0ms	(* (/ 3 x) (/ (/ -1 x) x))
14.0ms	(+ (* (/ 3 x) (/ (/ -1 x) x)) (/ (/ -1 x) x))
7.0ms	(/ (/ -1 x) x)
7.0ms	(/ (/ -1 x) x)

series286.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

143.0ms	(+ (* (/ 3 x) (/ (/ -1 x) x)) (/ (/ -1 x) x))
61.0ms	(* (/ 3 x) (/ (/ -1 x) x))
45.0ms	(/ (/ -1 x) x)
37.0ms	(/ (/ -1 x) x)

simplify1.2s

Counts: 260 → 260

prune1.9s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

20.4b	(cbrt (+ (* (/ (/ -1 (* x x)) x) 3) (- (/ -1 (* x x)) (/ 3 x))))
20.4b	(cbrt (+ (* (/ (/ -1 (* x x)) x) 3) (- (/ -1 (* x x)) (/ 3 x))))
20.4b	(cbrt (+ (* (/ (/ -1 (* x x)) x) 3) (- (/ -1 (* x x)) (/ 3 x))))
5.4b	(+ (* (/ (/ -1 (* x x)) x) 3) (- (/ -1 (* x x)) (/ 3 x)))

rewrite219.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-div`
12×	`associate-*l/` `frac-add`
9×	`cbrt-prod` `add-log-exp`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `flip3-+` `flip3--` `add-cbrt-cube` `add-exp-log` `frac-sub` `flip-+` `insert-posit16` `flip--`
3×	`pow1/3`
2×	`associate-+r+` `sum-log`
1×	`+-commutative` `associate-+r-` `sub-neg` `diff-log`

Counts

4 → 70

Calls

4 calls:

Slowest

59.0ms	(+ (* (/ (/ -1 (* x x)) x) 3) (- (/ -1 (* x x)) (/ 3 x)))
57.0ms	(cbrt (+ (* (/ (/ -1 (* x x)) x) 3) (- (/ -1 (* x x)) (/ 3 x))))
50.0ms	(cbrt (+ (* (/ (/ -1 (* x x)) x) 3) (- (/ -1 (* x x)) (/ 3 x))))
49.0ms	(cbrt (+ (* (/ (/ -1 (* x x)) x) 3) (- (/ -1 (* x x)) (/ 3 x))))

series363.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

113.0ms	(cbrt (+ (* (/ (/ -1 (* x x)) x) 3) (- (/ -1 (* x x)) (/ 3 x))))
109.0ms	(cbrt (+ (* (/ (/ -1 (* x x)) x) 3) (- (/ -1 (* x x)) (/ 3 x))))
106.0ms	(cbrt (+ (* (/ (/ -1 (* x x)) x) 3) (- (/ -1 (* x x)) (/ 3 x))))
34.0ms	(+ (* (/ (/ -1 (* x x)) x) 3) (- (/ -1 (* x x)) (/ 3 x)))

simplify3.8s

Counts: 82 → 82

prune860.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes85.0ms

Accuracy

100% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 30.7b

bsearch151.0ms

end0.0ms

sample2.5s

Algorithm

intervals

Results

848.0ms	4020×	body	80	valid
803.0ms	1758×	body	1280	valid
536.0ms	1295×	body	640	valid
173.0ms	615×	body	320	valid
49.0ms	312×	body	160	valid