Details

sample155.0ms

Algorithm

intervals

Results

92.0ms	114×	body	1280	valid
24.0ms	73×	body	640	valid
12.0ms	271×	body	80	nan
8.0ms	41×	body	320	valid
2.0ms	19×	body	160	valid
0.0ms	9×	body	80	valid

simplify84.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	102
8	102
7	99
6	91
5	80
4	56
3	38
2	25
1	18
0	9

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.9b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
5.7b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
40×	`times-frac`
26×	`log-prod`
23×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`add-exp-log`
5×	`associate-/r*`
4×	`add-cbrt-cube` `associate-/r/` `associate-/l*`
3×	`pow1`
2×	`flip3--` `div-exp` `rem-log-exp` `div-inv` `flip--` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3-+` `log-pow` `flip-+`

Counts

2 → 82

Calls

2 calls:

33.0ms	(/ (+ 1.0 x) (- 1.0 x))
14.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series240.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(/ (+ 1.0 x) (- 1.0 x))
192.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify2.0s

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
3	2876
2	859
1	330
0	142

prune445.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize39.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* x x))
0.0b	(- (+ x (* x x)) (/ (* x x) (* 1.0 1.0)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
5×	`add-sqr-sqrt` `*-un-lft-identity`
2×	`pow1` `sum-log` `flip3-+` `add-cbrt-cube` `diff-log` `add-exp-log` `frac-sub` `add-cube-cbrt` `flip-+` `difference-of-squares`
1×	`+-commutative` `sub-neg` `times-frac` `distribute-rgt-out` `flip3--` `distribute-rgt1-in` `associate--l+` `flip--` `distribute-lft-out--`

Counts

2 → 32

Calls

2 calls:

4.0ms	(+ x (* x x))
36.0ms	(- (+ x (* x x)) (/ (* x x) (* 1.0 1.0)))

series70.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(+ x (* x x))
16.0ms	(- (+ x (* x x)) (/ (* x x) (* 1.0 1.0)))

simplify2.8s

Counts

38 → 38

Iterations

Iter	Nodes
done	5062
3	3991
2	769
1	203
0	68

prune246.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize50.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (* x x))
0.1b	(* (* x x) (* x x))
0.1b	(* (* x x) (* x x))
40.8b	(/ (* (+ (* (* x x) (* x x)) x) (* x x)) (+ (* x x) (- (* (* x x) (* x x)) (* x (* x x)))))

rewrite313.0ms

Algorithm

rewrite-expression-head

Rules

240×	`pow1`
77×	`pow-prod-up`
49×	`pow-prod-down`
45×	`pow-sqr`
42×	`add-cbrt-cube` `add-exp-log`
37×	`pow-plus`
27×	`pow2`
22×	`prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt`
7×	`*-un-lft-identity` `add-cube-cbrt`
5×	`associate-l`
4×	`add-log-exp`
3×	`cbrt-undiv` `associate-/r` `times-frac` `div-exp` `associate-r` `-commutative` `unswap-sqr`
2×	`flip3-+` `swap-sqr` `associate-*l/` `associate-/r/` `flip-+` `associate-/l/`
1×	`clear-num` `frac-2neg` `cube-unmult` `div-inv` `associate-/l*`

Counts

4 → 177

Calls

4 calls:

26.0ms	(* x (* x x))
25.0ms	(* (* x x) (* x x))
44.0ms	(* (* x x) (* x x))
206.0ms	(/ (* (+ (* (* x x) (* x x)) x) (* x x)) (+ (* x x) (- (* (* x x) (* x x)) (* x (* x x)))))

series486.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(* x (* x x))
40.0ms	(* (* x x) (* x x))
51.0ms	(* (* x x) (* x x))
318.0ms	(/ (* (+ (* (* x x) (* x x)) x) (* x x)) (+ (* x x) (- (* (* x x) (* x x)) (* x (* x x)))))

simplify2.2s

Counts

189 → 189

Iterations

Iter	Nodes
done	5004
2	1739
1	423
0	127

prune946.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize51.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (* x x))
0.1b	(* (* x x) (* x x))
0.1b	(* (* x x) (* x x))
31.1b	(/ (+ (* x x) (- (* (* x x) (* x x)) (* x (* x x)))) (* x x))

rewrite286.0ms

Algorithm

rewrite-expression-head

Rules

240×	`pow1`
77×	`pow-prod-up`
49×	`pow-prod-down`
45×	`pow-sqr`
38×	`add-cbrt-cube` `add-exp-log`
37×	`pow-plus`
27×	`pow2`
20×	`prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt`
7×	`*-un-lft-identity` `add-cube-cbrt`
5×	`associate-l`
4×	`add-log-exp`
3×	`times-frac` `associate-r` `-commutative` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `swap-sqr` `div-exp` `associate-/l/`
1×	`clear-num` `associate-+r-` `associate-/r*` `frac-2neg` `flip3-+` `div-sub` `cube-unmult` `flip-+` `div-inv`

Counts

4 → 174

Calls

4 calls:

16.0ms	(* x (* x x))
39.0ms	(* (* x x) (* x x))
30.0ms	(* (* x x) (* x x))
188.0ms	(/ (+ (* x x) (- (* (* x x) (* x x)) (* x (* x x)))) (* x x))

series174.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* x (* x x))
36.0ms	(* (* x x) (* x x))
51.0ms	(* (* x x) (* x x))
48.0ms	(/ (+ (* x x) (- (* (* x x) (* x x)) (* x (* x x)))) (* x x))

simplify1.6s

Counts

186 → 186

Iterations

Iter	Nodes
done	5000
2	1233
1	326
0	108

prune524.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

regimes143.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	17
1	17
0	13

end0.0ms

sample6.0s

Algorithm

intervals

Results

3.3s	3419×	body	1280	valid
1.2s	2525×	body	640	valid
532.0ms	8157×	body	80	nan
413.0ms	1222×	body	320	valid
157.0ms	642×	body	160	valid
14.0ms	192×	body	80	valid