Details

Time bar (total: 17.9s)

sample59.0ms

Algorithm
intervals
Results
24.0ms256×body80valid
14.0ms286×body80nan

simplify114.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01114
12114
23914
36214
48514
511114
611914
done11914

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.0b
(* 6.0 (- x 1.0))
0.3b
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

rewrite150.0ms

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:
46.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
31.0ms
(* 6.0 (- x 1.0))
70.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series246.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
69.0ms
(* 6.0 (- x 1.0))
115.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify1.2s

Counts
73 → 73
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0133982
1389955
21774819
done5002811

prune380.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 3 expressions with local error:

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

rewrite285.0ms

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:
46.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
140.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
87.0ms
(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

series295.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
110.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
119.0ms
(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

simplify2.0s

Counts
163 → 163
Iterations

Useful iterations: 2 (596.0ms)

IterNodesCost
02643901
17233771
237743563
done50013563

prune936.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))
0.2b
(/ 6.0 (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))
0.2b
(* (/ 6.0 (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))) (/ (- x 1.0) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))))
0.3b
(/ (- x 1.0) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))

rewrite612.0ms

Algorithm
rewrite-expression-head
Rules
126×add-sqr-sqrt
108×times-frac
95×*-un-lft-identity
69×add-cube-cbrt
63×sqrt-prod
36×associate-*r*
24×associate-*l*
20×add-exp-log add-cbrt-cube
13×distribute-lft-out-- difference-of-squares
12×associate-/r*
10×sqrt-div
9×unswap-sqr
8×associate-/r/ associate-/l*
7×pow1
6×cbrt-undiv div-exp
5×flip3-+ flip-+
4×prod-exp cbrt-unprod div-inv add-log-exp
2×frac-2neg clear-num associate-/l/
1×frac-times rem-sqrt-square flip3-- sqrt-pow1 pow1/2 div-sub associate-*r/ pow-prod-down associate-*l/ *-commutative flip--
Counts
4 → 203
Calls
4 calls:
62.0ms
(sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))
71.0ms
(/ 6.0 (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))
362.0ms
(* (/ 6.0 (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))) (/ (- x 1.0) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))))
98.0ms
(/ (- x 1.0) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))

series639.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))
187.0ms
(/ 6.0 (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))
127.0ms
(* (/ 6.0 (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))) (/ (- x 1.0) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))))
213.0ms
(/ (- x 1.0) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))

simplify2.7s

Counts
215 → 215
Iterations

Useful iterations: done (2.7s)

IterNodesCost
02715611
18135234
240864879
done50004871

prune1.3s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ (sqrt 6.0) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))) (/ (- x 1.0) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))))
0.3b
(/ (- x 1.0) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))
0.3b
(/ (sqrt 6.0) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))
1.0b
(* (/ (sqrt 6.0) (sqrt 1)) (* (/ (sqrt 6.0) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))) (/ (- x 1.0) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))))

rewrite849.0ms

Algorithm
rewrite-expression-head
Rules
196×add-sqr-sqrt
190×times-frac
164×sqrt-prod
144×*-un-lft-identity
118×add-cube-cbrt
82×associate-*l*
61×add-exp-log add-cbrt-cube
37×associate-*r*
22×prod-exp cbrt-unprod
19×cbrt-undiv div-exp
15×unswap-sqr
13×distribute-lft-out-- difference-of-squares
12×associate-/r*
11×pow1 associate-/l*
8×sqrt-div associate-/r/
6×frac-times associate-*r/
5×div-inv
4×flip3-+ pow-prod-down associate-*l/ flip-+ add-log-exp
2×frac-2neg clear-num *-commutative associate-/l/
1×sqrt-undiv flip3-- div-sub flip--
Counts
4 → 312
Calls
4 calls:
350.0ms
(* (/ (sqrt 6.0) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))) (/ (- x 1.0) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))))
79.0ms
(/ (- x 1.0) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))
63.0ms
(/ (sqrt 6.0) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))
323.0ms
(* (/ (sqrt 6.0) (sqrt 1)) (* (/ (sqrt 6.0) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))) (/ (- x 1.0) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))))

series960.0ms

Counts
4 → 12
Calls
4 calls:
213.0ms
(* (/ (sqrt 6.0) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))) (/ (- x 1.0) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))))
233.0ms
(/ (- x 1.0) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))
242.0ms
(/ (sqrt 6.0) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))
271.0ms
(* (/ (sqrt 6.0) (sqrt 1)) (* (/ (sqrt 6.0) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))) (/ (- x 1.0) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))))

simplify929.0ms

Counts
324 → 324
Iterations

Useful iterations: done (907.0ms)

IterNodesCost
040810261
112609292
done50018384

prune2.0s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes135.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01114
11414
done1414

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.1s8000×body80valid
589.0ms7916×body80nan