Details

sample55.0ms

Algorithm

intervals

Results

19.0ms	54×	body	1280	valid
11.0ms	35×	body	640	valid
10.0ms	137×	body	80	valid
4.0ms	20×	body	320	valid
1.0ms	10×	body	160	valid

simplify275.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.0b

localize14.0ms

Local error

Found 3 expressions with local error:

3.1b	(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))
0.0b	(/ (+ x 1) (- x 1))
0.0b	(/ x (+ x 1))

rewrite109.0ms

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

59.0ms	(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))
30.0ms	(/ (+ x 1) (- x 1))
16.0ms	(/ x (+ x 1))

series175.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

107.0ms	(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))
40.0ms	(/ x (+ x 1))
28.0ms	(/ (+ x 1) (- x 1))

simplify420.0ms

Counts: 175 → 126

prune839.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

3.1b	(- (* (* (/ x (+ 1 x)) (/ x (+ 1 x))) (/ x (+ 1 x))) (* (/ (+ 1 x) (- x 1)) (* (/ (+ 1 x) (- x 1)) (/ (+ 1 x) (- x 1)))))
0.1b	(* (* (/ x (+ 1 x)) (/ x (+ 1 x))) (/ x (+ 1 x)))
0.0b	(* (/ x (+ 1 x)) (/ x (+ 1 x)))
0.0b	(* (/ x (+ 1 x)) (/ x (+ 1 x)))

rewrite296.0ms

Algorithm

rewrite-expression-head

Rules

174×	`*-un-lft-identity`
141×	`times-frac`
111×	`add-sqr-sqrt`
84×	`add-cube-cbrt`
77×	`frac-times`
69×	`add-cbrt-cube` `add-exp-log`
63×	`associate-*l/`
61×	`associate-*r/`
54×	`associate-r`
49×	`frac-sub`
48×	`swap-sqr`
39×	`distribute-lft-out`
37×	`pow1` `associate-l`
26×	`prod-exp` `cbrt-unprod`
21×	`cbrt-undiv` `div-exp`
18×	`associate-/r/`
10×	`unswap-sqr`
9×	`flip3-+` `flip-+` `div-inv`
8×	`pow-plus` `pow-prod-up`
6×	`add-log-exp`
5×	`pow-prod-down`
4×	`pow2` `pow-sqr` `insert-posit16`
3×	`*-commutative`
2×	`pow3`
1×	`difference-cubes` `sub-neg` `flip3--` `diff-log` `cube-unmult` `flip--`

Counts

4 → 309

Calls

4 calls:

Slowest

139.0ms	(- (* (* (/ x (+ 1 x)) (/ x (+ 1 x))) (/ x (+ 1 x))) (* (/ (+ 1 x) (- x 1)) (* (/ (+ 1 x) (- x 1)) (/ (+ 1 x) (- x 1)))))
80.0ms	(* (* (/ x (+ 1 x)) (/ x (+ 1 x))) (/ x (+ 1 x)))
39.0ms	(* (/ x (+ 1 x)) (/ x (+ 1 x)))
32.0ms	(* (/ x (+ 1 x)) (/ x (+ 1 x)))

series395.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

259.0ms	(- (* (* (/ x (+ 1 x)) (/ x (+ 1 x))) (/ x (+ 1 x))) (* (/ (+ 1 x) (- x 1)) (* (/ (+ 1 x) (- x 1)) (/ (+ 1 x) (- x 1)))))
59.0ms	(* (* (/ x (+ 1 x)) (/ x (+ 1 x))) (/ x (+ 1 x)))
44.0ms	(* (/ x (+ 1 x)) (/ x (+ 1 x)))
34.0ms	(* (/ x (+ 1 x)) (/ x (+ 1 x)))

simplify660.0ms

Counts: 430 → 321

prune3.3s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

19.4b	(- (/ (/ x (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (cbrt (+ x 1))) (/ (+ x 1) (- x 1)))
0.2b	(cbrt (+ x 1))
0.2b	(cbrt (+ x 1))
0.2b	(cbrt (+ x 1))

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
25×	`times-frac`
16×	`cbrt-prod`
10×	`difference-of-squares`
7×	`add-cube-cbrt` `distribute-lft-out--`
6×	`cbrt-div` `add-log-exp`
5×	`distribute-lft-out`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16`
3×	`flip3-+` `pow1/3` `flip-+`
1×	`sub-neg` `flip3--` `diff-log` `frac-sub` `flip--`

Counts

4 → 74

Calls

4 calls:

Slowest

165.0ms	(- (/ (/ x (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (cbrt (+ x 1))) (/ (+ x 1) (- x 1)))
5.0ms	(cbrt (+ x 1))
5.0ms	(cbrt (+ x 1))
5.0ms	(cbrt (+ x 1))

series251.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

99.0ms	(- (/ (/ x (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (cbrt (+ x 1))) (/ (+ x 1) (- x 1)))
60.0ms	(cbrt (+ x 1))
53.0ms	(cbrt (+ x 1))
38.0ms	(cbrt (+ x 1))

simplify403.0ms

Counts: 114 → 86

prune661.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

5.6b	(- (* -3 (/ (/ (/ 1 x) x) x)) (+ (/ 3 x) (/ (/ 1 x) x)))
0.1b	(/ (/ 1 x) x)
0.1b	(/ (/ 1 x) x)
0.1b	(* -3 (/ (/ (/ 1 x) x) x))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

487×	`times-frac`
258×	`add-sqr-sqrt`
239×	`*-un-lft-identity`
238×	`add-cube-cbrt`
133×	`associate-r`
44×	`add-exp-log`
28×	`add-cbrt-cube`
26×	`associate-/l*`
24×	`div-inv`
23×	`div-exp`
12×	`pow1` `cbrt-undiv`
9×	`add-log-exp`
6×	`associate-/r*` `prod-exp` `unswap-sqr`
4×	`associate-*r/` `cbrt-unprod` `insert-posit16` `pow-div`
3×	`rec-exp` `1-exp` `associate-l` `frac-sub`
2×	`clear-num` `frac-2neg` `diff-log` `pow-flip` `inv-pow` `associate-/l/`
1×	`sum-log` `sub-neg` `flip3-+` `flip3--` `pow-prod-down` `frac-add` `*-commutative` `flip-+` `flip--` `associate--r+`

Counts

4 → 331

Calls

4 calls:

Slowest

50.0ms	(- (* -3 (/ (/ (/ 1 x) x) x)) (+ (/ 3 x) (/ (/ 1 x) x)))
37.0ms	(* -3 (/ (/ (/ 1 x) x) x))
14.0ms	(/ (/ 1 x) x)
14.0ms	(/ (/ 1 x) x)

series185.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

70.0ms	(* -3 (/ (/ (/ 1 x) x) x))
44.0ms	(- (* -3 (/ (/ (/ 1 x) x) x)) (+ (/ 3 x) (/ (/ 1 x) x)))
41.0ms	(/ (/ 1 x) x)
30.0ms	(/ (/ 1 x) x)

simplify707.0ms

Counts: 433 → 343

prune3.0s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes74.0ms

Accuracy

100% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 29.2b

bsearch140.0ms

end0.0ms

sample2.4s

Algorithm

intervals

Results

889.0ms	1693×	body	1280	valid
579.0ms	617×	body	320	valid
433.0ms	1261×	body	640	valid
329.0ms	4120×	body	80	valid
50.0ms	309×	body	160	valid