Details

sample25.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
7.0ms	286×	body	80	nan

simplify55.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	14
1	21	14
2	38	14
3	57	14
4	75	14
5	96	14
6	104	14
done	104	14

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite48.0ms

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:

10.0ms	(* 6.0 (- x 1.0))
15.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
21.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series158.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(* 6.0 (- x 1.0))
35.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
79.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify2.3s

Counts

73 → 73

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	133	982
1	377	955
2	1195	811
3	4729	807
done	5000	807

prune152.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`add-log-exp`
9×	`times-frac`
5×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `associate-/r` `sum-log` `associate-/l`
2×	`flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `associate-+l+` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

3 → 57

Calls

3 calls:

3.0ms	(- (* 6.0 x) 6.0)
14.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
22.0ms	(/ (- (* 6.0 x) 6.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series155.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(- (* 6.0 x) 6.0)
39.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
78.0ms	(/ (- (* 6.0 x) 6.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify1.7s

Counts

66 → 66

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	118	1121
1	327	1094
2	1045	982
3	3521	974
done	5000	973

prune161.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
22×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
18×	`add-cube-cbrt` `unpow-prod-down` `cube-prod`
17×	`add-exp-log` `add-cbrt-cube`
15×	`times-frac`
10×	`associate-/r/`
7×	`pow1`
5×	`flip3-+` `associate-r` `flip-+` `div-inv`
4×	`cbrt-undiv` `associate-*r/` `div-exp` `add-log-exp`
3×	`pow-unpow` `associate-l` `pow-exp` `prod-exp` `associate-/r*` `cbrt-unprod` `rem-cube-cbrt`
2×	`cube-div` `distribute-rgt-in` `cube-mult` `sub-neg` `flip3--` `distribute-lft-in` `unpow3` `flip--` `associate-/l/` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `pow1/3` `pow-prod-down` `clear-num` `-commutative` `rem-cbrt-cube` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 125

Calls

4 calls:

9.0ms	(* 6.0 (- x 1.0))
21.0ms	(pow (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))) 3)
23.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))
19.0ms	(cbrt (pow (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))) 3))

series302.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* 6.0 (- x 1.0))
106.0ms	(pow (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))) 3)
77.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))
76.0ms	(cbrt (pow (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))) 3))

simplify773.0ms

Counts

137 → 137

Iterations

Useful iterations: 2 (268.0ms)

Iter	Nodes	Cost
0	189	2898
1	535	2516
2	1902	2277
done	5000	2277

prune274.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

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))))

rewrite86.0ms

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)))
47.0ms	(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
22.0ms	(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series182.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
76.0ms	(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
71.0ms	(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify1.7s

Counts

102 → 102

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	160	1876
1	439	1819
2	1277	1633
3	4228	1628
done	5000	1627

prune203.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes35.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample605.0ms

Algorithm

intervals

Results

227.0ms	8000×	body	80	valid
202.0ms	8031×	body	80	nan