Details

sample72.0ms

Algorithm

intervals

Results

39.0ms	125×	pre	10240	exit
15.0ms	256×	body	80	valid
6.0ms	131×	pre	80	true

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	14
2	14
1	12
0	6

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.8b	(/ x0 (- 1 x1))
7.6b	(- (/ x0 (- 1 x1)) x0)

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
19×	`times-frac`
13×	`add-cube-cbrt`
10×	`difference-of-squares`
6×	`associate-/r*`
5×	`distribute-lft-out--`
4×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `flip3--` `associate-/r/` `insert-posit16` `flip--`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-exp` `div-inv`

Counts

2 → 58

Calls

2 calls:

13.0ms	(/ x0 (- 1 x1))
48.0ms	(- (/ x0 (- 1 x1)) x0)

series87.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(/ x0 (- 1 x1))
48.0ms	(- (/ x0 (- 1 x1)) x0)

simplify1.2s

Counts

64 → 64

Iterations

Iter	Nodes
done	2005
4	2005
3	1887
2	672
1	251
0	121

prune178.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 7.1b

localize31.0ms

Local error

Found 4 expressions with local error:

0.8b	(/ x0 (- 1 x1))
0.8b	(/ x0 (- 1 x1))
0.8b	(* (/ x0 (- 1 x1)) (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))))
5.6b	(- (* (/ x0 (- 1 x1)) (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1)))) (* x0 (* x0 x0)))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

72×	`add-sqr-sqrt`
69×	`*-un-lft-identity`
55×	`times-frac`
49×	`add-cbrt-cube` `add-exp-log`
36×	`add-cube-cbrt`
24×	`associate-l`
22×	`difference-of-squares`
18×	`pow1` `prod-exp` `cbrt-unprod`
15×	`cbrt-undiv` `div-exp`
12×	`associate-/r*`
11×	`distribute-lft-out--`
6×	`associate-/r/` `associate-/l*` `add-log-exp`
5×	`frac-times` `associate-*r/` `pow-prod-up`
4×	`flip3--` `insert-posit16` `flip--`
3×	`cube-unmult` `pow-prod-down` `associate-*l/` `div-inv`
2×	`clear-num` `frac-2neg` `unswap-sqr`
1×	`pow2` `difference-cubes` `sub-neg` `pow-plus` `diff-log` `associate-r` `pow-sqr` `*-commutative`

Counts

4 → 168

Calls

4 calls:

11.0ms	(/ x0 (- 1 x1))
13.0ms	(/ x0 (- 1 x1))
64.0ms	(* (/ x0 (- 1 x1)) (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))))
57.0ms	(- (* (/ x0 (- 1 x1)) (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1)))) (* x0 (* x0 x0)))

series215.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(/ x0 (- 1 x1))
39.0ms	(/ x0 (- 1 x1))
57.0ms	(* (/ x0 (- 1 x1)) (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))))
80.0ms	(- (* (/ x0 (- 1 x1)) (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1)))) (* x0 (* x0 x0)))

simplify1.0s

Counts

180 → 180

Iterations

Iter	Nodes
done	2004
2	2004
1	637
0	223

prune472.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 5.6b

localize40.0ms

Local error

Found 4 expressions with local error:

0.8b	(/ x0 (- 1 x1))
0.8b	(/ x0 (- 1 x1))
0.8b	(/ x0 (- 1 x1))
5.6b	(- (/ (* x0 (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1)))) (- 1 x1)) (* x0 (* x0 x0)))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-sqr-sqrt` `*-un-lft-identity`
54×	`times-frac`
37×	`add-cube-cbrt`
24×	`difference-of-squares`
18×	`associate-/r*`
12×	`distribute-lft-out--`
10×	`add-cbrt-cube` `add-exp-log`
9×	`associate-/l*`
6×	`associate-/r/` `add-log-exp`
4×	`pow1` `flip3--` `insert-posit16` `flip--`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`
1×	`sub-neg` `diff-log`

Counts

4 → 139

Calls

4 calls:

9.0ms	(/ x0 (- 1 x1))
8.0ms	(/ x0 (- 1 x1))
8.0ms	(/ x0 (- 1 x1))
70.0ms	(- (/ (* x0 (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1)))) (- 1 x1)) (* x0 (* x0 x0)))

series192.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ x0 (- 1 x1))
39.0ms	(/ x0 (- 1 x1))
38.0ms	(/ x0 (- 1 x1))
88.0ms	(- (/ (* x0 (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1)))) (- 1 x1)) (* x0 (* x0 x0)))

simplify1.1s

Counts

151 → 151

Iterations

Iter	Nodes
done	2005
3	2005
2	1097
1	300
0	131

prune578.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 5.5b

localize62.0ms

Local error

Found 4 expressions with local error:

0.8b	(/ x0 (- 1 x1))
0.8b	(* (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (/ x0 (- 1 x1)))
0.9b	(cbrt (* (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (/ x0 (- 1 x1))))
5.6b	(- (/ (* x0 (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1)))) (- 1 x1)) (* x0 (* x0 x0)))

rewrite239.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
47×	`add-cbrt-cube` `add-exp-log`
46×	`*-un-lft-identity`
37×	`times-frac`
25×	`add-cube-cbrt`
24×	`associate-r`
23×	`pow1`
18×	`prod-exp` `cbrt-unprod`
14×	`cbrt-undiv` `div-exp` `difference-of-squares`
10×	`frac-times` `associate-*l/`
7×	`cbrt-div` `distribute-lft-out--`
6×	`associate-/r` `pow-plus` `associate-r/` `pow-prod-up` `add-log-exp`
4×	`associate-/r/` `insert-posit16`
3×	`flip3--` `pow-prod-down` `flip--` `associate-/l*`
2×	`pow2` `pow3` `pow-sqr` `div-inv` `unswap-sqr`
1×	`cbrt-prod` `clear-num` `sub-neg` `frac-2neg` `pow1/3` `diff-log` `associate-l` `*-commutative` `rem-cbrt-cube`

Counts

4 → 147

Calls

4 calls:

8.0ms	(/ x0 (- 1 x1))
69.0ms	(* (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (/ x0 (- 1 x1)))
68.0ms	(cbrt (* (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (/ x0 (- 1 x1))))
91.0ms	(- (/ (* x0 (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1)))) (- 1 x1)) (* x0 (* x0 x0)))

series222.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(/ x0 (- 1 x1))
50.0ms	(* (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (/ x0 (- 1 x1)))
44.0ms	(cbrt (* (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (/ x0 (- 1 x1))))
91.0ms	(- (/ (* x0 (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1)))) (- 1 x1)) (* x0 (* x0 x0)))

simplify892.0ms

Counts

159 → 159

Iterations

Iter	Nodes
done	2002
2	2002
1	660
0	241

prune562.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 5.4b

regimes77.0ms

Accuracy

0% (0.7b remaining)

Error of 6.0b against oracle of 5.3b and baseline of 6.0b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	27
1	27
0	19

end0.0ms

sample1.7s

Algorithm

intervals

Results

986.0ms	3952×	pre	10240	exit
402.0ms	8000×	body	80	valid
161.0ms	4048×	pre	80	true