Details

sample49.0ms

Algorithm

intervals

Results

16.0ms	256×	body	80	valid
14.0ms	251×	body	80	nan

simplify153.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	14
1	21	14
2	39	14
3	61	14
4	80	14
5	101	14
6	109	14
done	109	14

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.0b	(* 6.0 (- x 1.0))
0.6b	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
10×	`add-exp-log` `add-cbrt-cube`
9×	`*-un-lft-identity`
8×	`add-log-exp`
7×	`add-cube-cbrt`
5×	`pow1` `associate-r`
4×	`associate-*r/`
3×	`times-frac` `associate-l` `associate-/r*` `sum-log`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `flip--` `cbrt-unprod` `flip-+` `associate-/l/`
1×	`+-commutative` `associate-+l+` `frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 64

Calls

3 calls:

60.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
22.0ms	(* 6.0 (- x 1.0))
89.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series249.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
68.0ms	(* 6.0 (- x 1.0))
112.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify1.1s

Counts

73 → 73

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	133	982
1	376	955
2	1225	811
done	5000	808

prune230.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite242.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-/l*`
4×	`associate-/r/`
3×	`flip3-+` `associate-l` `associate-/r*` `sum-log` `flip-+`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `associate-+l+` `flip3--` `frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `flip--`

Counts

3 → 93

Calls

3 calls:

34.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
139.0ms	(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
64.0ms	(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series315.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
116.0ms	(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
130.0ms	(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify2.5s

Counts

102 → 102

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	160	1876
1	434	1819
2	1324	1633
3	4603	1628
done	5001	1628

prune267.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (sqrt x) (sqrt 1.0))
0.2b	(* 6.0 (+ (sqrt x) (sqrt 1.0)))
0.2b	(* (* 6.0 (+ (sqrt x) (sqrt 1.0))) (- (sqrt x) (sqrt 1.0)))
0.6b	(/ (* (* 6.0 (+ (sqrt x) (sqrt 1.0))) (- (sqrt x) (sqrt 1.0))) (+ (+ x 1.0) (* 4.0 (sqrt x))))

rewrite295.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
20×	`add-exp-log` `add-cbrt-cube`
19×	`add-sqr-sqrt`
18×	`associate-*r/`
14×	`associate-r`
11×	`pow1`
10×	`sqrt-prod`
9×	`add-cube-cbrt` `flip3-+` `flip-+`
8×	`frac-times` `associate-/l/`
7×	`prod-exp` `cbrt-unprod`
6×	`flip3--` `flip--` `add-log-exp`
4×	`associate-l` `pow-prod-down` `associate-*l/` `distribute-lft-out` `difference-of-squares`
3×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `times-frac` `div-exp` `associate-/r*`
2×	`sub-neg` `associate-/r/` `*-commutative` `distribute-lft-out--`
1×	`+-commutative` `frac-2neg` `clear-num` `sum-log` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 106

Calls

4 calls:

11.0ms	(+ (sqrt x) (sqrt 1.0))
40.0ms	(* 6.0 (+ (sqrt x) (sqrt 1.0)))
77.0ms	(* (* 6.0 (+ (sqrt x) (sqrt 1.0))) (- (sqrt x) (sqrt 1.0)))
164.0ms	(/ (* (* 6.0 (+ (sqrt x) (sqrt 1.0))) (- (sqrt x) (sqrt 1.0))) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series962.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(+ (sqrt x) (sqrt 1.0))
82.0ms	(* 6.0 (+ (sqrt x) (sqrt 1.0)))
252.0ms	(* (* 6.0 (+ (sqrt x) (sqrt 1.0))) (- (sqrt x) (sqrt 1.0)))
584.0ms	(/ (* (* 6.0 (+ (sqrt x) (sqrt 1.0))) (- (sqrt x) (sqrt 1.0))) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify1.5s

Counts

118 → 118

Iterations

Useful iterations: 2 (517.0ms)

Iter	Nodes	Cost
0	239	2574
1	749	1999
2	3410	1667
done	5000	1667

prune374.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* 6.0 (/ (- x 1.0) (- (* (+ x 1.0) (+ x 1.0)) (* x (* 4.0 4.0))))) (- (+ x 1.0) (* 4.0 (sqrt x))))
0.1b	(* 6.0 (/ (- x 1.0) (- (* (+ x 1.0) (+ x 1.0)) (* x (* 4.0 4.0)))))
0.4b	(- (* (+ x 1.0) (+ x 1.0)) (* x (* 4.0 4.0)))
14.5b	(/ (- x 1.0) (- (* (+ x 1.0) (+ x 1.0)) (* x (* 4.0 4.0))))

rewrite508.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
31×	`times-frac`
25×	`add-cube-cbrt`
24×	`associate-r`
20×	`add-exp-log` `add-cbrt-cube`
11×	`pow1`
7×	`prod-exp` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
6×	`flip3--` `associate-*r/` `flip--` `add-log-exp`
5×	`associate-/l*`
4×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `pow-prod-down` `associate--l+` `associate-/r/`
3×	`cbrt-undiv` `sub-neg` `div-exp` `associate-/r*`
2×	`frac-times` `*-commutative` `div-inv` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `diff-log` `div-sub` `associate-*l/` `clear-num`

Counts

4 → 125

Calls

4 calls:

254.0ms	(* (* 6.0 (/ (- x 1.0) (- (* (+ x 1.0) (+ x 1.0)) (* x (* 4.0 4.0))))) (- (+ x 1.0) (* 4.0 (sqrt x))))
138.0ms	(* 6.0 (/ (- x 1.0) (- (* (+ x 1.0) (+ x 1.0)) (* x (* 4.0 4.0)))))
32.0ms	(- (* (+ x 1.0) (+ x 1.0)) (* x (* 4.0 4.0)))
76.0ms	(/ (- x 1.0) (- (* (+ x 1.0) (+ x 1.0)) (* x (* 4.0 4.0))))

series365.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(* (* 6.0 (/ (- x 1.0) (- (* (+ x 1.0) (+ x 1.0)) (* x (* 4.0 4.0))))) (- (+ x 1.0) (* 4.0 (sqrt x))))
88.0ms	(* 6.0 (/ (- x 1.0) (- (* (+ x 1.0) (+ x 1.0)) (* x (* 4.0 4.0)))))
26.0ms	(- (* (+ x 1.0) (+ x 1.0)) (* x (* 4.0 4.0)))
82.0ms	(/ (- x 1.0) (- (* (+ x 1.0) (+ x 1.0)) (* x (* 4.0 4.0))))

simplify1.4s

Counts

137 → 137

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	234	3867
1	672	3775
2	2487	3276
done	5000	3267

prune442.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes21.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	14
1	15	14
done	15	14

end0.0ms

sample1.6s

Algorithm

intervals

Results

813.0ms	8000×	body	80	valid
466.0ms	8028×	body	80	nan