Details

sample34.0ms

Algorithm

intervals

Results

10.0ms	55×	body	1280	valid
6.0ms	142×	body	80	valid
5.0ms	36×	body	640	valid
1.0ms	15×	body	320	valid
1.0ms	8×	body	160	valid

simplify7.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.6b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

99×	`*-un-lft-identity`
52×	`times-frac`
45×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
18×	`distribute-lft-out` `distribute-lft-out--`
9×	`associate-/r*` `difference-of-squares`
7×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
5×	`add-log-exp`
4×	`associate-/r/`
3×	`pow1`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `associate-/l/`
1×	`sub-neg` `diff-log` `frac-sub`

Counts

3 → 104

Calls

3 calls:

12.0ms	(/ x (+ x 1.0))
28.0ms	(/ (+ x 1.0) (- x 1.0))
107.0ms	(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

series280.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ x (+ x 1.0))
67.0ms	(/ (+ x 1.0) (- x 1.0))
178.0ms	(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

simplify67.0ms

Counts: 113 → 113

prune316.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
18.4b	(- (* (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x 1.0))) (/ (+ x 1.0) (- x 1.0)))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`pow1/3`
1×	`sub-neg` `flip3--` `diff-log` `associate-*r/` `frac-sub` `flip--`

Counts

4 → 46

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
88.0ms	(- (* (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x 1.0))) (/ (+ x 1.0) (- x 1.0)))

series965.0ms

Counts

4 → 12

Calls

4 calls:

296.0ms	(cbrt x)
258.0ms	(cbrt x)
231.0ms	(cbrt x)
180.0ms	(- (* (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x 1.0))) (/ (+ x 1.0) (- x 1.0)))

simplify94.0ms

Counts: 58 → 58

prune155.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (+ x 1.0))
0.0b	(- (* x (+ x (- 1.0))) (* 1.0 (+ x 1.0)))
0.0b	(/ (- (- (* x (+ x (- 1.0))) (* 1.0 (+ x 1.0))) (* x (+ x 1.0))) (* (+ x 1.0) (- x 1.0)))
18.5b	(- (- (* x (+ x (- 1.0))) (* 1.0 (+ x 1.0))) (* x (+ x 1.0)))

rewrite543.0ms

Algorithm

rewrite-expression-head

Rules

68×	`associate-*r/`
44×	`frac-sub`
36×	`flip3-+` `flip-+`
14×	`associate-/l/`
11×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
10×	`add-sqr-sqrt` `flip3--` `*-un-lft-identity` `flip--`
8×	`add-cube-cbrt` `associate--l+` `associate-/r/`
6×	`pow1`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`frac-times` `diff-log` `associate-r` `associate--r+`
3×	`sub-neg` `times-frac` `associate-l` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod`
1×	`associate--l-` `frac-2neg` `div-sub` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

4 → 119

Calls

4 calls:

26.0ms	(* x (+ x 1.0))
25.0ms	(- (* x (+ x (- 1.0))) (* 1.0 (+ x 1.0)))
309.0ms	(/ (- (- (* x (+ x (- 1.0))) (* 1.0 (+ x 1.0))) (* x (+ x 1.0))) (* (+ x 1.0) (- x 1.0)))
176.0ms	(- (- (* x (+ x (- 1.0))) (* 1.0 (+ x 1.0))) (* x (+ x 1.0)))

series227.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* x (+ x 1.0))
33.0ms	(- (* x (+ x (- 1.0))) (* 1.0 (+ x 1.0)))
87.0ms	(/ (- (- (* x (+ x (- 1.0))) (* 1.0 (+ x 1.0))) (* x (+ x 1.0))) (* (+ x 1.0) (- x 1.0)))
46.0ms	(- (- (* x (+ x (- 1.0))) (* 1.0 (+ x 1.0))) (* x (+ x 1.0)))

simplify50.0ms

Counts: 131 → 131

prune431.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ x 1.0) (- x 1.0))
15.8b	(/ (- (+ (* 3.0 x) 1.0)) (* (+ x 1.0) (- x 1.0)))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-cube-cbrt` `times-frac` `associate-/l*`
9×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `associate-/r/`
7×	`flip3-+` `flip-+`
6×	`distribute-lft-neg-in` `flip3--` `distribute-rgt-neg-in` `flip--`
5×	`associate-r`
4×	`pow1` `associate-r/` `associate-l` `associate-l/`
2×	`cbrt-undiv` `distribute-rgt-in` `neg-mul-1` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `cbrt-unprod` `associate-/l/` `distribute-neg-frac` `add-log-exp`
1×	`neg-sub0` `frac-2neg` `div-sub` `distribute-frac-neg` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `div-inv` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 80

Calls

2 calls:

43.0ms	(* (+ x 1.0) (- x 1.0))
48.0ms	(/ (- (+ (* 3.0 x) 1.0)) (* (+ x 1.0) (- x 1.0)))

series149.0ms

Counts

2 → 6

Calls

2 calls:

84.0ms	(* (+ x 1.0) (- x 1.0))
65.0ms	(/ (- (+ (* 3.0 x) 1.0)) (* (+ x 1.0) (- x 1.0)))

simplify44.0ms

Counts: 86 → 86

prune203.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes24.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify58.0ms

end0.0ms

sample1.5s

Algorithm

intervals

Results

675.0ms	1691×	body	1280	valid
277.0ms	1282×	body	640	valid
160.0ms	4051×	body	80	valid
105.0ms	647×	body	320	valid
80.0ms	329×	body	160	valid