Details

sample17.0ms

Algorithm

intervals

Results

4.0ms	57×	body	640	valid
3.0ms	58×	body	320	valid
3.0ms	128×	body	80	valid
1.0ms	13×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.3b

localize6.0ms

Local error

Found 1 expressions with local error:

3.4b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite75.0ms

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:

52.0ms

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

series62.0ms

Counts

1 → 3

Calls

1 calls:

62.0ms

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

simplify950.0ms

Counts

282 → 282

Iterations

Useful iterations: done (932.0ms)

Iter	Nodes	Cost
0	364	11776
1	761	10254
2	1933	7398
done	5000	7102

prune292.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

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))
2.7b	(- x (+ x 1.0))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
17×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
13×	`add-cube-cbrt`
12×	`prod-diff`
8×	`add-log-exp`
5×	`pow1` `prod-exp` `cbrt-unprod` `distribute-lft-out`
4×	`cbrt-undiv` `div-exp` `associate-l` `associate-*l/`
3×	`expm1-log1p-u` `fma-neg` `associate-r` `log1p-expm1-u`
2×	`flip3--` `flip3-+` `diff-log` `associate-*r/` `associate-/r/` `flip--` `flip-+` `associate-/l/` `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 → 84

Calls

3 calls:

11.0ms	(* (+ x 1.0) x)
26.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
10.0ms	(- x (+ x 1.0))

series89.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(* (+ x 1.0) x)
39.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
7.0ms	(- x (+ x 1.0))

simplify883.0ms

Counts

93 → 93

Iterations

Useful iterations: 2 (310.0ms)

Iter	Nodes	Cost
0	145	1352
1	398	1032
2	1901	752
done	5000	752

prune151.0ms

Pruning

3 alts after pruning (3 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)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-exp-log` `add-cbrt-cube`
4×	`cbrt-undiv` `div-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-/r`
2×	`prod-exp` `cbrt-unprod`
1×	`pow1` `expm1-log1p-u` `frac-2neg` `distribute-frac-neg` `associate-l/` `clear-num` `distribute-rgt-neg-out` `log1p-expm1-u` `div-inv` `associate-/l/` `associate-/l` `add-log-exp`

Counts

1 → 27

Calls

1 calls:

8.0ms

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

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

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

simplify916.0ms

Counts

30 → 30

Iterations

Useful iterations: 2 (128.0ms)

Iter	Nodes	Cost
0	85	441
1	250	413
2	1025	334
done	5000	334

prune60.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-exp-log` `add-cbrt-cube`
20×	`*-un-lft-identity`
14×	`add-log-exp`
13×	`prod-exp` `cbrt-unprod`
12×	`cbrt-undiv` `div-exp`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt`
7×	`distribute-lft-out`
6×	`pow1` `fma-def` `sum-log`
4×	`expm1-log1p-u` `flip3-+` `associate-l` `associate-*l/` `flip-+` `log1p-expm1-u`
3×	`associate-r`
2×	`+-commutative` `associate-+r+` `distribute-frac-neg` `associate-/r/`
1×	`distribute-lft-neg-out` `frac-2neg` `times-frac` `associate-r/` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `distribute-rgt-neg-out` `div-inv` `associate-/l/` `associate-/l` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

10.0ms	(* (+ x 1.0) x)
10.0ms	(+ x (+ x 1.0))
8.0ms	(+ x (+ x 1.0))
39.0ms	(/ (* 1.0 (/ (* (- 1.0) (+ x (+ x 1.0))) (+ x (+ x 1.0)))) (* (+ x 1.0) x))

series147.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (+ x 1.0) x)
32.0ms	(+ x (+ x 1.0))
34.0ms	(+ x (+ x 1.0))
37.0ms	(/ (* 1.0 (/ (* (- 1.0) (+ x (+ x 1.0))) (+ x (+ x 1.0)))) (* (+ x 1.0) x))

simplify1.3s

Counts

110 → 110

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	156	1792
1	518	1528
2	2784	899
done	5001	839

prune206.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes21.0ms

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	11	10
2	16	10
3	18	10
done	18	10

end0.0ms

sample443.0ms

Algorithm

intervals

Results

148.0ms	1900×	body	640	valid
95.0ms	4191×	body	80	valid
78.0ms	1283×	body	320	valid
25.0ms	626×	body	160	valid