Details

Time bar (total: 10.4s)

sample29.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
7.0ms284×body80nan

simplify82.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01114
12114
23914
36114
48014
510114
610914
done10914

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

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

rewrite92.0ms

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:
27.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
19.0ms
(* 6.0 (- x 1.0))
44.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series147.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
42.0ms
(* 6.0 (- x 1.0))
72.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify821.0ms

Counts
73 → 73
Iterations

Useful iterations: done (819.0ms)

IterNodesCost
0133982
1376955
21225811
done5000808

prune142.0ms

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
(+ (+ 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))))

rewrite159.0ms

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:
27.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
84.0ms
(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
45.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series180.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
72.0ms
(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
70.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify2.0s

Counts
102 → 102
Iterations

Useful iterations: 3 (919.0ms)

IterNodesCost
01601876
14341819
213241633
346031628
done50011628

prune210.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.0b
(* 6.0 (- x 1.0))
0.0b
(/ 1 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* 6.0 (- x 1.0))))
0.2b
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* 6.0 (- x 1.0)))

rewrite174.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
32×add-exp-log
30×add-sqr-sqrt
28×*-un-lft-identity
26×add-cube-cbrt
20×add-cbrt-cube
14×div-exp
12×associate-*r/
11×associate-/r/
10×associate-/r*
9×add-log-exp
7×pow1 cbrt-undiv
6×flip3-- flip-- div-inv associate-/l*
5×associate-*r* prod-exp
3×rec-exp 1-exp associate-*l* sum-log cbrt-unprod
2×distribute-rgt-in sub-neg frac-2neg distribute-lft-in flip3-+ clear-num flip-+ associate-/l/
1×+-commutative associate-+l+ pow-flip pow-prod-down *-commutative distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
4 → 128
Calls
4 calls:
26.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
20.0ms
(* 6.0 (- x 1.0))
48.0ms
(/ 1 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* 6.0 (- x 1.0))))
76.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* 6.0 (- x 1.0)))

series233.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
39.0ms
(* 6.0 (- x 1.0))
77.0ms
(/ 1 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* 6.0 (- x 1.0))))
77.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* 6.0 (- x 1.0)))

simplify1.0s

Counts
140 → 140
Iterations

Useful iterations: done (999.0ms)

IterNodesCost
02202622
15472446
216102126
done50012092

prune217.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* (* 6.0 (+ (sqrt x) (sqrt 1.0))) (- (sqrt x) (sqrt 1.0)))))
0.2b
(* 6.0 (+ (sqrt x) (sqrt 1.0)))
0.2b
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* (* 6.0 (+ (sqrt x) (sqrt 1.0))) (- (sqrt x) (sqrt 1.0))))
0.2b
(* (* 6.0 (+ (sqrt x) (sqrt 1.0))) (- (sqrt x) (sqrt 1.0)))

rewrite357.0ms

Algorithm
rewrite-expression-head
Rules
60×times-frac
54×add-exp-log
50×associate-*r/
43×add-sqr-sqrt
41×*-un-lft-identity associate-/r/
34×add-cbrt-cube
33×add-cube-cbrt
24×frac-times
20×flip3-+ div-exp flip-+
18×flip3-- flip--
16×prod-exp associate-/r*
14×associate-*r*
12×pow1 associate-*l/
10×cbrt-undiv cbrt-unprod
8×sqrt-prod
6×div-inv associate-/l*
4×rec-exp 1-exp associate-*l* pow-prod-down add-log-exp difference-of-squares
3×distribute-rgt-in distribute-lft-in
2×sub-neg frac-2neg clear-num *-commutative associate-/l/ distribute-lft-out distribute-lft-out--
1×pow-flip inv-pow unswap-sqr
Counts
4 → 185
Calls
4 calls:
130.0ms
(/ 1 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* (* 6.0 (+ (sqrt x) (sqrt 1.0))) (- (sqrt x) (sqrt 1.0)))))
32.0ms
(* 6.0 (+ (sqrt x) (sqrt 1.0)))
115.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* (* 6.0 (+ (sqrt x) (sqrt 1.0))) (- (sqrt x) (sqrt 1.0))))
72.0ms
(* (* 6.0 (+ (sqrt x) (sqrt 1.0))) (- (sqrt x) (sqrt 1.0)))

series1.8s

Counts
4 → 12
Calls
4 calls:
412.0ms
(/ 1 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* (* 6.0 (+ (sqrt x) (sqrt 1.0))) (- (sqrt x) (sqrt 1.0)))))
60.0ms
(* 6.0 (+ (sqrt x) (sqrt 1.0)))
1.1s
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* (* 6.0 (+ (sqrt x) (sqrt 1.0))) (- (sqrt x) (sqrt 1.0))))
201.0ms
(* (* 6.0 (+ (sqrt x) (sqrt 1.0))) (- (sqrt x) (sqrt 1.0)))

simplify1.7s

Counts
197 → 197
Iterations

Useful iterations: 2 (707.0ms)

IterNodesCost
04226519
111684832
243204203
done50014203

prune369.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes15.0ms

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)

IterNodesCost
01114
11514
done1514

end0.0ms

sample652.0ms

Algorithm
intervals
Results
232.0ms8000×body80valid
195.0ms8130×body80nan