Details

sample23.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
6.0ms	269×	body	80	nan

simplify58.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	14
1	21	14
2	38	14
3	58	14
4	76	14
5	98	14
6	106	14
done	106	14

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.0b	(* 6.0 (- x 1.0))
0.4b	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

rewrite46.0ms

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:

15.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
9.0ms	(* 6.0 (- x 1.0))
20.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series161.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
39.0ms	(* 6.0 (- x 1.0))
80.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify516.0ms

Counts

73 → 73

Iterations

Useful iterations: 2 (128.0ms)

Iter	Nodes	Cost
0	133	982
1	383	955
2	1528	811
done	5000	811

prune143.0ms

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

rewrite82.0ms

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:

13.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
45.0ms	(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
21.0ms	(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series190.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
81.0ms	(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
73.0ms	(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify611.0ms

Counts

102 → 102

Iterations

Useful iterations: 2 (149.0ms)

Iter	Nodes	Cost
0	160	1876
1	441	1819
2	1673	1633
done	5000	1633

prune221.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite79.0ms

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-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `sum-log`
2×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `associate-/l/`
1×	`+-commutative` `associate-+l+`

Counts

3 → 154

Calls

3 calls:

33.0ms	(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
13.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
25.0ms	(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

series201.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
42.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
82.0ms	(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

simplify837.0ms

Counts

163 → 163

Iterations

Useful iterations: 2 (218.0ms)

Iter	Nodes	Cost
0	264	3901
1	644	3749
2	2824	3557
done	5001	3557

prune373.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

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)

rewrite186.0ms

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:

103.0ms	(* 6.0 (cbrt (pow (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))) 3)))
21.0ms	(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))
26.0ms	(cbrt (pow (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))) 3))
22.0ms	(pow (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))) 3)

series369.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(* 6.0 (cbrt (pow (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))) 3)))
76.0ms	(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))
88.0ms	(cbrt (pow (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))) 3))
104.0ms	(pow (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))) 3)

simplify1.3s

Counts

245 → 245

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	265	6061
1	747	5274
2	3120	4797
done	5000	4795

prune461.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes17.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample594.0ms

Algorithm

intervals

Results

224.0ms	8000×	body	80	valid
196.0ms	8101×	body	80	nan