Details

sample30.0ms

Algorithm

intervals

Results

8.0ms	58×	body	640	valid
5.0ms	135×	body	80	valid
4.0ms	35×	body	320	valid
2.0ms	28×	body	160	valid

simplify26.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.5b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
4.5b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
28×	`times-frac`
27×	`add-sqr-sqrt`
15×	`add-cube-cbrt`
8×	`distribute-lft-out--`
7×	`distribute-lft-out`
4×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `add-log-exp` `difference-of-squares`
3×	`div-inv` `associate-/l*`
2×	`pow1` `associate-/r/`
1×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `div-exp` `clear-num` `frac-sub` `flip--` `flip-+`

Counts

2 → 58

Calls

2 calls:

13.0ms	(/ 1.0 (+ x 1.0))
101.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series107.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ 1.0 (+ x 1.0))
74.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify1.7s

Counts: 64 → 64

prune205.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1.0) x)
0.0b	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
3.9b	(- x (+ x 1.0))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

21.0ms	(* (+ x 1.0) x)
45.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
16.0ms	(- x (+ x 1.0))

series127.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(* (+ x 1.0) x)
59.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
10.0ms	(- x (+ x 1.0))

simplify1.0s

Counts: 72 → 72

prune162.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
0.1b	(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

959×	`times-frac`
669×	`*-un-lft-identity`
509×	`add-sqr-sqrt`
381×	`add-cube-cbrt`
86×	`associate-/l*`
80×	`distribute-lft-out`
64×	`distribute-lft-out--` `difference-of-squares`
37×	`associate-/r/`
29×	`associate-/r*`
22×	`div-inv`
16×	`add-exp-log` `flip3--` `add-cbrt-cube` `flip--`
9×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 474

Calls

2 calls:

43.0ms	(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
65.0ms	(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

series83.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
51.0ms	(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

simplify938.0ms

Counts: 480 → 480

prune1.4s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ x 1.0))
0.3b	(/ 1.0 (/ (* x (+ x 1.0)) (- 0 1.0)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

53×	`times-frac`
34×	`add-sqr-sqrt` `*-un-lft-identity`
24×	`add-cube-cbrt`
13×	`add-exp-log` `add-cbrt-cube`
11×	`associate-/r*`
9×	`associate-/r/`
5×	`cbrt-undiv` `div-exp` `div-inv`
4×	`pow1` `flip3--` `associate-r` `flip--` `distribute-lft-out--` `difference-of-squares`
3×	`associate-l` `associate-/l*`
2×	`associate-*r/` `prod-exp` `cbrt-unprod` `add-log-exp`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `flip3-+` `pow-prod-down` `clear-num` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 87

Calls

2 calls:

38.0ms	(* x (+ x 1.0))
33.0ms	(/ 1.0 (/ (* x (+ x 1.0)) (- 0 1.0)))

series143.0ms

Counts

2 → 6

Calls

2 calls:

93.0ms	(* x (+ x 1.0))
50.0ms	(/ 1.0 (/ (* x (+ x 1.0)) (- 0 1.0)))

simplify1.2s

Counts: 93 → 93

prune216.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes28.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify8.9s

end0.0ms

sample976.0ms

Algorithm

intervals

Results

388.0ms	1904×	body	640	valid
195.0ms	4214×	body	80	valid
156.0ms	1224×	body	320	valid
50.0ms	659×	body	160	valid