Details

sample36.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
10.0ms	262×	body	80	nan

simplify116.0ms

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

localize16.0ms

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))))

rewrite132.0ms

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:

35.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
34.0ms	(* 6.0 (- x 1.0))
60.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series213.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
61.0ms	(* 6.0 (- x 1.0))
103.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify853.0ms

Counts

73 → 73

Iterations

Useful iterations: done (850.0ms)

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

prune214.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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))))

rewrite233.0ms

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:

39.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
131.0ms	(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
58.0ms	(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series184.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
78.0ms	(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
69.0ms	(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify916.0ms

Counts

102 → 102

Iterations

Useful iterations: done (913.0ms)

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

prune292.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (- x 1.0))
0.3b	(cbrt (- x 1.0))
0.3b	(cbrt (- x 1.0))
0.3b	(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

6.0ms	(cbrt (- x 1.0))
6.0ms	(cbrt (- x 1.0))
6.0ms	(cbrt (- x 1.0))
53.0ms	(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))

series499.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(cbrt (- x 1.0))
134.0ms	(cbrt (- x 1.0))
131.0ms	(cbrt (- x 1.0))
134.0ms	(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))

simplify947.0ms

Counts

113 → 113

Iterations

Useful iterations: done (942.0ms)

Iter	Nodes	Cost
0	167	1563
1	397	1421
2	1468	1353
done	5000	1305

prune481.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 6.0 (- x 1.0))
0.1b	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))
0.1b	(pow (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))) 3)
0.9b	(cbrt (pow (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))) 3))

rewrite202.0ms

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:

26.0ms	(* 6.0 (- x 1.0))
59.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))
56.0ms	(pow (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))) 3)
55.0ms	(cbrt (pow (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))) 3))

series331.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* 6.0 (- x 1.0))
85.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))
112.0ms	(pow (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))) 3)
84.0ms	(cbrt (pow (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))) 3))

simplify2.4s

Counts

137 → 137

Iterations

Useful iterations: 2 (591.0ms)

Iter	Nodes	Cost
0	189	2898
1	649	2544
2	4091	2277
done	5001	2277

prune323.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes35.0ms

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

sample1.5s

Algorithm

intervals

Results

733.0ms	8084×	body	80	nan
415.0ms	8000×	body	80	valid