Details

sample66.0ms

Algorithm

intervals

Results

28.0ms	54×	body	640	valid
13.0ms	142×	body	80	valid
9.0ms	35×	body	320	valid
4.0ms	25×	body	160	valid

simplify10.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	11
0	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.3b

localize20.0ms

Local error

Found 1 expressions with local error:

3.8b	(- (/ 1 (+ x 1)) (/ 1 x))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
24×	`times-frac`
10×	`distribute-lft-out--`
9×	`difference-of-squares`
5×	`add-cube-cbrt`
4×	`div-inv`
3×	`distribute-lft-out` `add-log-exp`
1×	`pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `frac-sub` `insert-posit16` `flip--`

Counts

1 → 33

Calls

1 calls:

65.0ms

(- (/ 1 (+ x 1)) (/ 1 x))

series51.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

(- (/ 1 (+ x 1)) (/ 1 x))

simplify2.6s

Counts

36 → 36

Iterations

Iter	Nodes
done	5000
4	2126
3	926
2	454
1	177
0	79

prune99.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ x 1) x)
0.3b	(/ (- 0 1) (* (+ x 1) x))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
9×	`add-cbrt-cube` `add-exp-log`
7×	`times-frac` `associate-/l*`
6×	`add-cube-cbrt`
4×	`pow1` `associate-l` `associate-*l/` `difference-of-squares`
3×	`associate-r`
2×	`cbrt-undiv` `flip3-+` `difference-of-sqr-1` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `insert-posit16` `distribute-lft-out--` `add-log-exp` `associate-/l/`
1×	`clear-num` `associate-/r` `frac-2neg` `flip3--` `div-sub` `pow-prod-down` `distribute-frac-neg` `-commutative` `div-inv` `flip--` `distribute-lft-out` `unswap-sqr` `sub0-neg`

Counts

2 → 58

Calls

2 calls:

14.0ms	(* (+ x 1) x)
16.0ms	(/ (- 0 1) (* (+ x 1) x))

series81.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(* (+ x 1) x)
26.0ms	(/ (- 0 1) (* (+ x 1) x))

simplify2.8s

Counts

64 → 64

Iterations

Iter	Nodes
done	5002
3	4635
2	950
1	267
0	108

prune194.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

102×	`times-frac`
76×	`*-un-lft-identity`
52×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`associate-/l*`
12×	`distribute-lft-out`
8×	`associate-/r/`
6×	`add-cbrt-cube` `add-exp-log`
5×	`div-inv`
4×	`flip3-+` `flip-+`
3×	`cbrt-undiv` `associate-/r*` `div-exp`
1×	`pow1` `clear-num` `frac-2neg` `insert-posit16` `add-log-exp` `associate-/l/`

Counts

1 → 91

Calls

1 calls:

13.0ms

(/ (/ -1 (+ 1 x)) x)

series23.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

(/ (/ -1 (+ 1 x)) x)

simplify1.3s

Counts

94 → 94

Iterations

Iter	Nodes
done	5002
2	1479
1	461
0	187

prune289.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (/ -1 (+ 1 x))) (cbrt (/ -1 (+ 1 x))))
0.3b	(cbrt (/ -1 (+ 1 x)))
0.3b	(cbrt (/ -1 (+ 1 x)))
0.3b	(cbrt (/ -1 (+ 1 x)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

150×	`cbrt-prod`
128×	`*-un-lft-identity`
102×	`times-frac`
92×	`add-sqr-sqrt`
68×	`add-cube-cbrt`
27×	`swap-sqr` `distribute-lft-out`
21×	`associate-r` `associate-l`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3-+` `flip-+` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 184

Calls

4 calls:

42.0ms	(* (cbrt (/ -1 (+ 1 x))) (cbrt (/ -1 (+ 1 x))))
6.0ms	(cbrt (/ -1 (+ 1 x)))
6.0ms	(cbrt (/ -1 (+ 1 x)))
6.0ms	(cbrt (/ -1 (+ 1 x)))

series347.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(* (cbrt (/ -1 (+ 1 x))) (cbrt (/ -1 (+ 1 x))))
93.0ms	(cbrt (/ -1 (+ 1 x)))
79.0ms	(cbrt (/ -1 (+ 1 x)))
72.0ms	(cbrt (/ -1 (+ 1 x)))

simplify2.8s

Counts

196 → 196

Iterations

Iter	Nodes
done	5000
3	3995
2	1406
1	455
0	218

prune850.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes24.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
1	9
0	6

end0.0ms

sample1.6s

Algorithm

intervals

Results

742.0ms	1980×	body	640	valid
378.0ms	4150×	body	80	valid
271.0ms	1238×	body	320	valid
91.0ms	635×	body	160	valid