Details

sample16.0ms

Algorithm

intervals

Results

4.0ms	65×	body	640	valid
2.0ms	133×	body	80	valid
2.0ms	35×	body	320	valid
1.0ms	23×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	9	9
2	12	9
done	12	9

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.8b

localize9.0ms

Local error

Found 1 expressions with local error:

3.2b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

346×	`times-frac`
344×	`*-un-lft-identity`
255×	`add-sqr-sqrt`
243×	`add-cube-cbrt`
234×	`prod-diff`
45×	`distribute-lft-out`
34×	`div-inv`
28×	`associate-/r/`
18×	`fma-neg`
14×	`flip3-+` `flip-+`
8×	`distribute-lft-out--`
4×	`difference-of-squares`
3×	`add-log-exp`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `frac-sub` `add-cbrt-cube` `flip--` `log1p-expm1-u`

Counts

1 → 279

Calls

1 calls:

79.0ms

(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series61.0ms

Counts

1 → 3

Calls

1 calls:

61.0ms

(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify1.5s

Counts

282 → 282

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	364	11776
1	812	10254
2	1786	7398
done	5000	5595

prune183.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
2.7b	(- x (+ x 1.0))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
14×	`add-exp-log` `add-cbrt-cube`
12×	`add-sqr-sqrt` `prod-diff`
10×	`add-cube-cbrt`
7×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `distribute-lft-out`
3×	`fma-neg`
2×	`pow1` `expm1-log1p-u` `flip3--` `diff-log` `associate-r/` `associate-l/` `associate-/r/` `flip--` `log1p-expm1-u` `associate-/l/` `distribute-lft-out--`
1×	`sub-neg` `frac-2neg` `flip3-+` `times-frac` `clear-num` `associate-/r` `sum-log` `flip-+` `div-inv` `associate-/l` `associate--r+` `difference-of-squares`

Counts

2 → 61

Calls

2 calls:

53.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
19.0ms	(- x (+ x 1.0))

series42.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
8.0ms	(- x (+ x 1.0))

simplify999.0ms

Counts

67 → 67

Iterations

Useful iterations: done (997.0ms)

Iter	Nodes	Cost
0	133	1156
1	374	853
2	1774	585
done	5000	561

prune101.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

1615×	`times-frac`
923×	`*-un-lft-identity`
683×	`add-sqr-sqrt` `add-cube-cbrt`
192×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
165×	`associate-/l*`
120×	`distribute-lft-out`
64×	`neg-mul-1`
45×	`div-inv`
10×	`add-exp-log` `add-cbrt-cube`
6×	`cbrt-undiv` `div-exp`
4×	`associate-/r/`
3×	`associate-/r*`
2×	`div-sub` `distribute-frac-neg`
1×	`pow1` `neg-sub0` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`

Counts

1 → 684

Calls

1 calls:

64.0ms

(/ (/ (- 1.0) (/ (+ x 1.0) 1.0)) x)

series46.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

(/ (/ (- 1.0) (/ (+ x 1.0) 1.0)) x)

simplify1.3s

Counts

687 → 687

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	1078	15265
1	2524	14085
done	5000	13658

prune1.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite679.0ms

Algorithm

rewrite-expression-head

Rules

2384×	`times-frac`
1775×	`*-un-lft-identity`
1387×	`cbrt-prod`
1083×	`add-sqr-sqrt`
1027×	`add-cube-cbrt`
416×	`distribute-rgt-neg-in`
372×	`distribute-lft-neg-in`
294×	`distribute-lft-out`
272×	`swap-sqr`
168×	`associate-r` `associate-l`
124×	`neg-mul-1`
81×	`div-inv`
16×	`unswap-sqr`
11×	`pow1`
9×	`pow1/3`
7×	`cbrt-div` `associate-/r/`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 1175

Calls

4 calls:

471.0ms	(* (cbrt (/ (- 1.0) (/ (+ x 1.0) 1.0))) (cbrt (/ (- 1.0) (/ (+ x 1.0) 1.0))))
19.0ms	(cbrt (/ (- 1.0) (/ (+ x 1.0) 1.0)))
17.0ms	(cbrt (/ (- 1.0) (/ (+ x 1.0) 1.0)))
16.0ms	(cbrt (/ (- 1.0) (/ (+ x 1.0) 1.0)))

series651.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(* (cbrt (/ (- 1.0) (/ (+ x 1.0) 1.0))) (cbrt (/ (- 1.0) (/ (+ x 1.0) 1.0))))
155.0ms	(cbrt (/ (- 1.0) (/ (+ x 1.0) 1.0)))
152.0ms	(cbrt (/ (- 1.0) (/ (+ x 1.0) 1.0)))
164.0ms	(cbrt (/ (- 1.0) (/ (+ x 1.0) 1.0)))

simplify1.5s

Counts

1187 → 1187

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	1030	31922
1	1735	29457
done	5001	27412

prune2.8s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes23.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	10	10
2	12	10
done	12	10

end0.0ms

sample428.0ms

Algorithm

intervals

Results

142.0ms	1923×	body	640	valid
81.0ms	4224×	body	80	valid
66.0ms	1222×	body	320	valid
23.0ms	631×	body	160	valid