Details

sample31.0ms

Algorithm

intervals

Results

12.0ms	66×	body	640	valid
6.0ms	133×	body	80	valid
5.0ms	37×	body	320	valid
2.0ms	20×	body	160	valid

simplify9.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	11
0	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.3b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

370×	`*-un-lft-identity`
366×	`times-frac`
277×	`add-sqr-sqrt`
253×	`add-cube-cbrt`
234×	`prod-diff`
49×	`distribute-lft-out`
37×	`div-inv`
30×	`associate-/r/`
18×	`fma-neg`
15×	`flip3-+` `flip-+`
10×	`distribute-lft-out--`
9×	`difference-of-squares`
6×	`add-exp-log`
4×	`associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`pow1` `associate-/l*`
2×	`expm1-log1p-u` `div-exp` `insert-posit16` `log1p-expm1-u`
1×	`cbrt-undiv` `rec-exp` `clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `1-exp` `frac-sub` `pow-flip` `flip--` `inv-pow`

Counts

2 → 327

Calls

2 calls:

11.0ms	(/ 1 (+ x 1))
61.0ms	(- (/ 1 (+ x 1)) (/ 1 x))

series45.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(/ 1 (+ x 1))
26.0ms	(- (/ 1 (+ x 1)) (/ 1 x))

simplify3.0s

Counts

333 → 333

Iterations

Iter	Nodes
done	5000
3	4090
2	1678
1	820
0	358

prune626.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1) x)
0.0b	(/ (+ x (- -1 x)) (* (+ x 1) x))
2.0b	(+ x (- -1 x))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
14×	`add-cube-cbrt`
11×	`associate-+r+`
10×	`add-cbrt-cube` `add-exp-log`
9×	`prod-diff`
8×	`add-log-exp`
7×	`distribute-lft-out`
5×	`pow1` `times-frac` `associate-/l*`
4×	`flip3-+` `associate-l` `associate-*l/` `flip-+`
3×	`expm1-log1p-u` `fma-def` `associate-r` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--`
2×	`cbrt-undiv` `associate-+r-` `sum-log` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `clear-num` `associate-/r` `sub-neg` `frac-2neg` `diff-log` `div-sub` `pow-prod-down` `-commutative` `div-inv` `unswap-sqr`

Counts

3 → 89

Calls

3 calls:

16.0ms	(* (+ x 1) x)
57.0ms	(/ (+ x (- -1 x)) (* (+ x 1) x))
22.0ms	(+ x (- -1 x))

series101.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(* (+ x 1) x)
31.0ms	(/ (+ x (- -1 x)) (* (+ x 1) x))
7.0ms	(+ x (- -1 x))

simplify1.4s

Counts

98 → 98

Iterations

Iter	Nodes
done	5001
2	1127
1	370
0	143

prune331.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

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×	`expm1-log1p-u` `cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`clear-num` `associate-/r` `frac-2neg` `pow-prod-down` `-commutative` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

2 → 50

Calls

2 calls:

20.0ms	(* (+ x 1) x)
18.0ms	(/ -1 (* (+ x 1) x))

series97.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(* (+ x 1) x)
21.0ms	(/ -1 (* (+ x 1) x))

simplify2.5s

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
3	2751
2	702
1	207
0	91

prune209.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

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×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 129

Calls

2 calls:

13.0ms	(/ -1 (+ x 1))
16.0ms	(/ (/ -1 (+ x 1)) x)

series54.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(/ -1 (+ x 1))
29.0ms	(/ (/ -1 (+ x 1)) x)

simplify3.4s

Counts

135 → 135

Iterations

Iter	Nodes
done	5000
3	4610
2	1480
1	495
0	203

prune471.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes51.0ms

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

sample1.8s

Algorithm

intervals

Results

647.0ms	1185×	body	320	valid
614.0ms	1869×	body	640	valid
329.0ms	4296×	body	80	valid
128.0ms	650×	body	160	valid