Details

sample43.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
12.0ms	252×	body	80	nan

simplify108.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	14
1	21	14
2	39	14
3	62	14
4	85	14
5	111	14
6	119	14
done	119	14

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite134.0ms

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:

31.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
30.0ms	(* 6.0 (- x 1.0))
71.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series201.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
61.0ms	(* 6.0 (- x 1.0))
93.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify1.2s

Counts

73 → 73

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	133	982
1	389	955
2	1774	819
done	5002	811

prune178.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize13.0ms

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

rewrite168.0ms

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:

28.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
92.0ms	(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
44.0ms	(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series193.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
82.0ms	(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
72.0ms	(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify1.1s

Counts

102 → 102

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	160	1876
1	461	1827
2	2076	1641
done	5002	1637

prune322.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 6.0 (cbrt (pow (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))) 3)))
0.0b	(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))
0.1b	(cbrt (pow (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))) 3))
0.1b	(pow (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))) 3)

rewrite441.0ms

Algorithm

rewrite-expression-head

Rules

132×	`add-sqr-sqrt`
117×	`*-un-lft-identity`
107×	`times-frac`
102×	`cbrt-prod`
73×	`add-cube-cbrt`
65×	`unpow-prod-down` `cube-prod`
51×	`associate-r`
22×	`distribute-lft-out--` `difference-of-squares`
14×	`associate-/r/`
11×	`add-exp-log`
10×	`add-cbrt-cube`
7×	`pow1` `flip3-+` `flip-+` `div-inv` `unswap-sqr`
5×	`associate-/l*`
4×	`add-log-exp` `sqr-pow`
3×	`cube-div` `cube-mult` `pow-unpow` `unpow3` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `cbrt-div` `div-exp` `pow-exp` `associate-/l/` `rem-cube-cbrt`
1×	`pow-to-exp` `flip3--` `pow-pow` `frac-2neg` `pow1/3` `div-sub` `associate-r/` `pow-prod-down` `prod-exp` `clear-num` `-commutative` `flip--` `rem-cbrt-cube` `cbrt-unprod`

Counts

4 → 233

Calls

4 calls:

214.0ms	(* 6.0 (cbrt (pow (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))) 3)))
71.0ms	(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))
74.0ms	(cbrt (pow (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))) 3))
70.0ms	(pow (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))) 3)

series428.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(* 6.0 (cbrt (pow (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))) 3)))
97.0ms	(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))
91.0ms	(cbrt (pow (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))) 3))
98.0ms	(pow (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))) 3)

simplify2.5s

Counts

245 → 245

Iterations

Useful iterations: 2 (809.0ms)

Iter	Nodes	Cost
0	265	6061
1	891	5298
2	4999	4874
done	5002	4874

prune508.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ x 1.0) (* 4.0 (sqrt x)))
0.0b	(* 6.0 (- x 1.0))
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)))))
15.7b	(/ (- (* (+ x 1.0) (+ x 1.0)) (* x (* 4.0 4.0))) (- (+ x 1.0) (* 4.0 (sqrt x))))

rewrite349.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 124

Calls

4 calls:

58.0ms	(- (+ x 1.0) (* 4.0 (sqrt x)))
36.0ms	(* 6.0 (- x 1.0))
121.0ms	(/ (* 6.0 (- x 1.0)) (/ (- (* (+ x 1.0) (+ x 1.0)) (* x (* 4.0 4.0))) (- (+ x 1.0) (* 4.0 (sqrt x)))))
127.0ms	(/ (- (* (+ x 1.0) (+ x 1.0)) (* x (* 4.0 4.0))) (- (+ x 1.0) (* 4.0 (sqrt x))))

series354.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(- (+ x 1.0) (* 4.0 (sqrt x)))
57.0ms	(* 6.0 (- x 1.0))
134.0ms	(/ (* 6.0 (- x 1.0)) (/ (- (* (+ x 1.0) (+ x 1.0)) (* x (* 4.0 4.0))) (- (+ x 1.0) (* 4.0 (sqrt x)))))
107.0ms	(/ (- (* (+ x 1.0) (+ x 1.0)) (* x (* 4.0 4.0))) (- (+ x 1.0) (* 4.0 (sqrt x))))

simplify1.9s

Counts

136 → 136

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	226	3806
1	717	3729
2	3991	3293
done	5002	3283

prune458.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes14.0ms

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

sample1.3s

Algorithm

intervals

Results

526.0ms	8000×	body	80	valid
434.0ms	8028×	body	80	nan