Details

sample37.0ms

Algorithm

intervals

Results

12.0ms	60×	body	640	valid
8.0ms	154×	body	80	valid
4.0ms	27×	body	320	valid
2.0ms	15×	body	160	valid

simplify24.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	11
0	6

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.4b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (+ x 1))
1.6b	(- (/ 1 (+ x 1)) (/ 1 x))

rewrite134.0ms

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:

19.0ms	(/ 1 (+ x 1))
111.0ms	(- (/ 1 (+ x 1)) (/ 1 x))

series59.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(/ 1 (+ x 1))
41.0ms	(- (/ 1 (+ x 1)) (/ 1 x))

simplify2.9s

Counts

77 → 77

Iterations

Iter	Nodes
done	5000
4	4247
3	1775
2	775
1	269
0	124

prune210.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ x 1) x)
0.5b	(/ -1 (* (+ x 1) x))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 46

Calls

2 calls:

43.0ms	(* (+ x 1) x)
22.0ms	(/ -1 (* (+ x 1) x))

series83.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(* (+ x 1) x)
20.0ms	(/ -1 (* (+ x 1) x))

simplify2.0s

Counts

52 → 52

Iterations

Iter	Nodes
done	5042
3	2579
2	593
1	204
0	87

prune213.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite70.0ms

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:

21.0ms	(/ -1 (+ x 1))
41.0ms	(/ (/ -1 (+ x 1)) x)

series61.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(/ -1 (+ x 1))
41.0ms	(/ (/ -1 (+ x 1)) x)

simplify1.3s

Counts

131 → 131

Iterations

Iter	Nodes
done	5003
2	1443
1	486
0	199

prune399.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite119.0ms

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:

73.0ms	(* (cbrt (/ -1 (+ x 1))) (cbrt (/ -1 (+ x 1))))
9.0ms	(cbrt (/ -1 (+ x 1)))
10.0ms	(cbrt (/ -1 (+ x 1)))
12.0ms	(cbrt (/ -1 (+ x 1)))

series420.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(* (cbrt (/ -1 (+ x 1))) (cbrt (/ -1 (+ x 1))))
103.0ms	(cbrt (/ -1 (+ x 1)))
95.0ms	(cbrt (/ -1 (+ x 1)))
86.0ms	(cbrt (/ -1 (+ x 1)))

simplify3.3s

Counts

196 → 196

Iterations

Iter	Nodes
done	5001
3	3370
2	1306
1	452
0	218

prune772.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes20.0ms

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

sample983.0ms

Algorithm

intervals

Results

464.0ms	1929×	body	640	valid
219.0ms	4189×	body	80	valid
144.0ms	1244×	body	320	valid
53.0ms	639×	body	160	valid