Details

sample42.0ms

Algorithm

intervals

Results

18.0ms	74×	body	640	valid
8.0ms	128×	body	80	valid
6.0ms	36×	body	320	valid
2.0ms	18×	body	160	valid

simplify13.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	11
0	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.3b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (+ x 1))
2.7b	(- (/ 1 (+ x 1)) (/ 1 x))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

48×	`*-un-lft-identity`
39×	`add-sqr-sqrt`
36×	`times-frac`
15×	`add-cube-cbrt`
10×	`distribute-lft-out--`
9×	`difference-of-squares`
7×	`distribute-lft-out`
6×	`add-exp-log`
5×	`div-inv`
4×	`associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`pow1` `associate-/l*`
2×	`div-exp` `associate-/r/` `insert-posit16`
1×	`cbrt-undiv` `rec-exp` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `flip3--` `diff-log` `1-exp` `frac-sub` `flip-+` `pow-flip` `flip--` `inv-pow`

Counts

2 → 71

Calls

2 calls:

12.0ms	(/ 1 (+ x 1))
40.0ms	(- (/ 1 (+ x 1)) (/ 1 x))

series41.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(/ 1 (+ x 1))
28.0ms	(- (/ 1 (+ x 1)) (/ 1 x))

simplify1.3s

Counts

77 → 77

Iterations

Iter	Nodes
done	2005
4	2005
3	1775
2	775
1	269
0	124

prune262.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.7b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1) x)
0.0b	(/ (- x (+ x 1)) (* (+ x 1) x))
2.2b	(- x (+ x 1))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
15×	`add-sqr-sqrt`
10×	`add-cbrt-cube` `add-exp-log`
8×	`add-log-exp`
7×	`add-cube-cbrt`
6×	`times-frac` `associate-/l*` `distribute-lft-out--`
5×	`pow1`
4×	`associate-l` `associate-*l/` `distribute-lft-out`
3×	`associate-r` `insert-posit16` `difference-of-squares`
2×	`cbrt-undiv` `flip3-+` `flip3--` `diff-log` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `flip--` `associate-/l/`
1×	`clear-num` `associate-/r` `sum-log` `sub-neg` `frac-2neg` `div-sub` `pow-prod-down` `-commutative` `div-inv` `associate--r+` `unswap-sqr`

Counts

3 → 73

Calls

3 calls:

14.0ms	(* (+ x 1) x)
35.0ms	(/ (- x (+ x 1)) (* (+ x 1) x))
10.0ms	(- x (+ x 1))

series94.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(* (+ x 1) x)
33.0ms	(/ (- x (+ x 1)) (* (+ x 1) x))
8.0ms	(- x (+ x 1))

simplify1.2s

Counts

82 → 82

Iterations

Iter	Nodes
done	2070
3	2070
2	1356
1	309
0	114

prune251.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
94×	`*-un-lft-identity`
62×	`add-sqr-sqrt` `add-cube-cbrt`
21×	`associate-/l*`
16×	`distribute-lft-out`
10×	`associate-/r/`
9×	`add-cbrt-cube` `add-exp-log`
7×	`associate-/r*`
6×	`div-inv`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `clear-num` `frac-2neg` `insert-posit16` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 125

Calls

2 calls:

7.0ms	(/ -1 (+ x 1))
17.0ms	(/ (/ -1 (+ x 1)) x)

series56.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(/ -1 (+ x 1))
26.0ms	(/ (/ -1 (+ x 1)) x)

simplify1.3s

Counts

131 → 131

Iterations

Iter	Nodes
done	2002
3	2002
2	1443
1	486
0	199

prune428.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (+ x 1)) (cbrt (+ x 1)))
0.3b	(cbrt (+ x 1))
0.3b	(cbrt (+ x 1))
0.3b	(cbrt (+ x 1))

rewrite42.0ms

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` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 99

Calls

4 calls:

33.0ms	(* (cbrt (+ x 1)) (cbrt (+ x 1)))
2.0ms	(cbrt (+ x 1))
3.0ms	(cbrt (+ x 1))
3.0ms	(cbrt (+ x 1))

series180.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* (cbrt (+ x 1)) (cbrt (+ x 1)))
43.0ms	(cbrt (+ x 1))
36.0ms	(cbrt (+ x 1))
44.0ms	(cbrt (+ x 1))

simplify1.3s

Counts

111 → 111

Iterations

Iter	Nodes
done	2004
4	2004
3	1592
2	660
1	282
0	123

prune523.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes59.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
1	9
0	6

end0.0ms

sample1.6s

Algorithm

intervals

Results

625.0ms	1874×	body	640	valid
387.0ms	4165×	body	80	valid
355.0ms	1304×	body	320	valid
94.0ms	658×	body	160	valid