Details

sample50.0ms

Algorithm

intervals

Results

16.0ms	256×	body	80	valid
15.0ms	282×	body	80	nan

simplify95.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	119
6	119
5	111
4	85
3	62
2	39
1	21
0	11

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.1b	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
3×	`associate-/r*` `sum-log` `times-frac`
2×	`pow1` `cbrt-undiv` `flip3-+` `div-exp` `associate-*r/` `associate-/r/` `flip-+` `associate-/l/`
1×	`+-commutative` `associate-+l+` `clear-num` `frac-2neg` `flip3--` `prod-exp` `cbrt-unprod` `div-inv` `flip--` `associate-/l*`

Counts

2 → 38

Calls

2 calls:

41.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
51.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series200.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
133.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify1.3s

Counts

44 → 44

Iterations

Iter	Nodes
done	5000
2	1578
1	318
0	104

prune262.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.0b	(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
0.0b	(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
103×	`add-sqr-sqrt` `*-un-lft-identity`
71×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
10×	`add-cbrt-cube` `add-exp-log`
8×	`add-log-exp`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `sum-log`
2×	`clear-num` `frac-2neg` `flip3-+` `flip-+` `associate-/l/`
1×	`+-commutative` `associate-+l+`

Counts

3 → 154

Calls

3 calls:

27.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
67.0ms	(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
38.0ms	(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

series204.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
76.0ms	(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
87.0ms	(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

simplify1.8s

Counts

163 → 163

Iterations

Iter	Nodes
done	5000
2	3743
1	723
0	265

prune746.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ (* 6.0 (- x 1.0)) (- (* (+ x 1.0) (+ x 1.0)) (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))))) (- (+ x 1.0) (* 4.0 (sqrt x))))
0.2b	(- (* (+ x 1.0) (+ x 1.0)) (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))))
0.4b	(* (* 4.0 (sqrt x)) (* 4.0 (sqrt x)))
16.2b	(/ (* 6.0 (- x 1.0)) (- (* (+ x 1.0) (+ x 1.0)) (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x)))))

rewrite295.0ms

Algorithm

rewrite-expression-head

Rules

45×	`pow1`
30×	`add-cbrt-cube` `add-exp-log`
18×	`pow-prod-down`
13×	`prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt` `associate-l`
9×	`*-un-lft-identity` `add-cube-cbrt`
8×	`times-frac`
6×	`flip3--` `flip--` `add-log-exp`
4×	`distribute-rgt-in` `cbrt-undiv` `associate-/r` `distribute-lft-in` `div-exp` `associate-r` `associate--l+` `associate-r/` `associate-/r/` `pow-sqr` `pow-prod-up` `difference-of-squares`
3×	`sub-neg`
2×	`frac-times` `pow-plus` `*-commutative` `div-inv` `associate-/l/`
1×	`pow2` `clear-num` `frac-2neg` `diff-log` `swap-sqr` `associate-l/` `associate-/l` `unswap-sqr`

Counts

4 → 116

Calls

4 calls:

191.0ms	(* (/ (* 6.0 (- x 1.0)) (- (* (+ x 1.0) (+ x 1.0)) (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))))) (- (+ x 1.0) (* 4.0 (sqrt x))))
23.0ms	(- (* (+ x 1.0) (+ x 1.0)) (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))))
28.0ms	(* (* 4.0 (sqrt x)) (* 4.0 (sqrt x)))
50.0ms	(/ (* 6.0 (- x 1.0)) (- (* (+ x 1.0) (+ x 1.0)) (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x)))))

series326.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(* (/ (* 6.0 (- x 1.0)) (- (* (+ x 1.0) (+ x 1.0)) (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))))) (- (+ x 1.0) (* 4.0 (sqrt x))))
39.0ms	(- (* (+ x 1.0) (+ x 1.0)) (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))))
35.0ms	(* (* 4.0 (sqrt x)) (* 4.0 (sqrt x)))
85.0ms	(/ (* 6.0 (- x 1.0)) (- (* (+ x 1.0) (+ x 1.0)) (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x)))))

simplify2.4s

Counts

128 → 128

Iterations

Iter	Nodes
done	5001
2	4334
1	683
0	222

prune593.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes27.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	14
1	14
0	11

end0.0ms

sample1.5s

Algorithm

intervals

Results

775.0ms	7994×	body	80	nan
478.0ms	8000×	body	80	valid