Details

Time bar (total: 6.7s)

sample33.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
9.0ms280×body80nan

simplify5.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

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))))

rewrite146.0ms

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:
34.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
30.0ms
(* 6.0 (- x 1.0))
80.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series202.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
56.0ms
(* 6.0 (- x 1.0))
95.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify39.0ms

Counts
73 → 73

prune192.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite230.0ms

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:
38.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
62.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))
125.0ms
(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))

series238.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
95.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))
96.0ms
(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))

simplify40.0ms

Counts
102 → 102

prune259.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite431.0ms

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:
63.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))
246.0ms
(* 6.0 (cbrt (pow (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))) 3)))
46.0ms
(cbrt (pow (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))) 3))
63.0ms
(pow (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))) 3)

series439.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))
126.0ms
(* 6.0 (cbrt (pow (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))) 3)))
97.0ms
(cbrt (pow (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))) 3))
131.0ms
(pow (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))) 3)

simplify93.0ms

Counts
245 → 245

prune575.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite364.0ms

Algorithm
rewrite-expression-head
Rules
149×*-un-lft-identity
135×sqrt-prod
134×add-sqr-sqrt
116×times-frac
69×add-cube-cbrt
36×associate-*r*
28×difference-of-squares
26×distribute-lft-out
14×associate-/l* distribute-lft-out--
13×add-exp-log add-cbrt-cube
12×associate-/r*
8×sqrt-div
7×pow1
6×associate-/r/
5×flip3-+ flip-+
4×associate-/l/ add-log-exp
3×cbrt-undiv div-exp associate-*l* div-inv unswap-sqr
2×frac-2neg prod-exp clear-num cbrt-unprod
1×rem-sqrt-square flip3-- sqrt-pow1 pow1/2 div-sub associate-*r/ pow-prod-down *-commutative flip--
Counts
4 → 214
Calls
4 calls:
43.0ms
(sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))
152.0ms
(* 6.0 (/ (+ (sqrt x) (sqrt 1.0)) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))))
74.0ms
(/ (+ (sqrt x) (sqrt 1.0)) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))
77.0ms
(/ (- (sqrt x) (sqrt 1.0)) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
89.0ms
(sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))
349.0ms
(* 6.0 (/ (+ (sqrt x) (sqrt 1.0)) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))))
316.0ms
(/ (+ (sqrt x) (sqrt 1.0)) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))
326.0ms
(/ (- (sqrt x) (sqrt 1.0)) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))

simplify75.0ms

Counts
226 → 226

prune772.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes19.0ms

Accuracy

50.2% (0.0b remaining)

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

bsearch0.0ms

simplify32.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
583.0ms8218×body80nan
439.0ms8000×body80valid