Details

sample21.0ms

Algorithm

intervals

Results

6.0ms	65×	body	640	valid
3.0ms	129×	body	80	valid
3.0ms	42×	body	320	valid
1.0ms	20×	body	160	valid

simplify3.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.4b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
3.6b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite85.0ms

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:

11.0ms	(/ 1.0 (+ x 1.0))
72.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series87.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(/ 1.0 (+ x 1.0))
60.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify154.0ms

Counts: 64 → 64

prune121.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.6b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
2.9b	(- x (+ x 1.0))

rewrite55.0ms

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:

39.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
15.0ms	(- x (+ x 1.0))

series50.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
9.0ms	(- x (+ x 1.0))

simplify42.0ms

Counts: 48 → 48

prune76.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

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)

rewrite123.0ms

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:

24.0ms	(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
55.0ms	(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

series68.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
37.0ms	(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

simplify77.0ms

Counts: 480 → 480

prune934.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite60.0ms

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:

4.0ms	(cbrt (+ x 1.0))
4.0ms	(cbrt (+ x 1.0))
11.0ms	(cbrt (+ x 1.0))
37.0ms	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))

series396.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(cbrt (+ x 1.0))
95.0ms	(cbrt (+ x 1.0))
93.0ms	(cbrt (+ x 1.0))
114.0ms	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))

simplify142.0ms

Counts: 107 → 107

prune407.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes20.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample693.0ms

Algorithm

intervals

Results

222.0ms	1903×	body	640	valid
171.0ms	4195×	body	80	valid
125.0ms	1268×	body	320	valid
32.0ms	634×	body	160	valid