Details

sample32.0ms

Algorithm

intervals

Results

11.0ms	58×	body	640	valid
5.0ms	134×	body	80	valid
4.0ms	44×	body	320	valid
1.0ms	20×	body	160	valid

simplify25.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.7b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
2.3b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite133.0ms

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:

21.0ms	(/ 1.0 (+ x 1.0))
107.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series112.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(/ 1.0 (+ x 1.0))
86.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify1.6s

Counts: 64 → 64

prune237.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
2.2b	(- x (+ x 1.0))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 42

Calls

2 calls:

38.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
29.0ms	(- x (+ x 1.0))

series63.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
8.0ms	(- x (+ x 1.0))

simplify835.0ms

Counts: 48 → 48

prune129.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

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)

rewrite239.0ms

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:

53.0ms	(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
106.0ms	(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

series100.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
65.0ms	(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

simplify928.0ms

Counts: 480 → 480

prune1.4s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
0.3b	(cbrt (+ x 1.0))
0.3b	(cbrt (+ x 1.0))
0.3b	(cbrt (+ x 1.0))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

52.0ms	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
4.0ms	(cbrt (+ x 1.0))
5.0ms	(cbrt (+ x 1.0))
9.0ms	(cbrt (+ x 1.0))

series528.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
151.0ms	(cbrt (+ x 1.0))
122.0ms	(cbrt (+ x 1.0))
128.0ms	(cbrt (+ x 1.0))

simplify2.2s

Counts: 107 → 107

prune546.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes48.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify8.8s

end0.0ms

sample1.5s

Algorithm

intervals

Results

675.0ms	1258×	body	320	valid
322.0ms	1922×	body	640	valid
214.0ms	4154×	body	80	valid
50.0ms	666×	body	160	valid