Details

Time bar (total: 15.5s)

sample44.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
12.0ms253×body80nan

simplify112.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
011284
121284
239284
362284
485284
5111284
6119284
done119284

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.0b
(* 6.0 (- x 1.0))
0.4b
(/ (* 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-cbrt-cube add-exp-log
9×*-un-lft-identity
8×add-log-exp
7×add-cube-cbrt
5×pow1 associate-*r*
4×associate-*r/
3×associate-/r* sum-log times-frac associate-*l*
2×distribute-rgt-in cbrt-undiv sub-neg distribute-lft-in flip3-+ flip3-- div-exp prod-exp associate-/r/ cbrt-unprod flip-+ flip-- associate-/l/
1×+-commutative associate-+l+ clear-num frac-2neg pow-prod-down *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 64
Calls
3 calls:
22.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
18.0ms
(* 6.0 (- x 1.0))
50.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series187.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
47.0ms
(* 6.0 (- x 1.0))
99.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify1.3s

Counts
73 → 73
Iterations

Useful iterations: done (1.3s)

IterNodesCost
013419701
138917260
2178016536
done500116456

prune278.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize23.0ms

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

rewrite189.0ms

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-cbrt-cube add-exp-log
8×add-log-exp
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
3×pow1 sum-log
2×clear-num frac-2neg flip3-+ flip-+ associate-/l/
1×+-commutative associate-+l+
Counts
3 → 154
Calls
3 calls:
31.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
92.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
55.0ms
(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

series241.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
100.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
95.0ms
(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

simplify2.6s

Counts
163 → 163
Iterations

Useful iterations: 2 (1.1s)

IterNodesCost
026582976
172376973
2374375071
done500075071

prune712.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 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 (/ 1 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))))
0.1b
(/ 1 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

rewrite287.0ms

Algorithm
rewrite-expression-head
Rules
252×times-frac
186×add-sqr-sqrt
174×*-un-lft-identity
122×add-cube-cbrt
68×associate-*r*
36×add-exp-log
26×associate-/r*
25×distribute-lft-out-- difference-of-squares
20×add-cbrt-cube
18×associate-/r/
15×div-exp
10×div-inv
9×add-log-exp
8×flip3-- flip--
7×pow1 cbrt-undiv prod-exp
6×associate-/l*
5×unswap-sqr
4×rec-exp 1-exp
3×sum-log associate-*l* cbrt-unprod
2×clear-num frac-2neg flip3-+ flip-+ associate-/l/
1×+-commutative associate-+l+ pow-prod-down associate-*r/ un-div-inv *-commutative pow-flip inv-pow
Counts
4 → 257
Calls
4 calls:
29.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
71.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
121.0ms
(* 6.0 (/ 1 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))))
55.0ms
(/ 1 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

series272.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
78.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
79.0ms
(* 6.0 (/ 1 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))))
77.0ms
(/ 1 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

simplify1.1s

Counts
269 → 269
Iterations

Useful iterations: done (1.0s)

IterNodesCost
0338127006
1992105105
done5000100747

prune1.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize77.0ms

Local error

Found 4 expressions with local error:

0.5b
(- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x))))
5.3b
(/ (* 6.0 (- x 1.0)) (+ (* (+ x 1.0) (* (+ x 1.0) (+ x 1.0))) (* (* 4.0 (sqrt x)) (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))))))
8.4b
(+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x)))))
14.7b
(* (/ (* 6.0 (- x 1.0)) (+ (* (+ x 1.0) (* (+ x 1.0) (+ x 1.0))) (* (* 4.0 (sqrt x)) (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x)))))) (+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x))))))

rewrite1.4s

Algorithm
rewrite-expression-head
Rules
48×frac-add
42×frac-times
41×flip3-+ flip-+
32×associate-*r/
26×flip3-- flip--
18×add-cbrt-cube add-exp-log
13×associate-*l/
11×add-sqr-sqrt add-log-exp
10×associate-*l*
9×*-un-lft-identity add-cube-cbrt
8×times-frac
6×pow1 cube-unmult
5×prod-exp cbrt-unprod
4×cbrt-undiv associate-/r* div-exp associate-/r/
3×associate-*r* sum-cubes
2×distribute-rgt-in associate-+l+ associate-+r+ sum-log sub-neg distribute-lft-in diff-log div-inv associate-/l/
1×+-commutative clear-num associate-+r- frac-2neg distribute-rgt-out-- pow-prod-down *-commutative associate-/l* unswap-sqr
Counts
4 → 141
Calls
4 calls:
48.0ms
(- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x))))
294.0ms
(/ (* 6.0 (- x 1.0)) (+ (* (+ x 1.0) (* (+ x 1.0) (+ x 1.0))) (* (* 4.0 (sqrt x)) (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))))))
82.0ms
(+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x)))))
998.0ms
(* (/ (* 6.0 (- x 1.0)) (+ (* (+ x 1.0) (* (+ x 1.0) (+ x 1.0))) (* (* 4.0 (sqrt x)) (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x)))))) (+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x))))))

series590.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x))))
107.0ms
(/ (* 6.0 (- x 1.0)) (+ (* (+ x 1.0) (* (+ x 1.0) (+ x 1.0))) (* (* 4.0 (sqrt x)) (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))))))
94.0ms
(+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x)))))
254.0ms
(* (/ (* 6.0 (- x 1.0)) (+ (* (+ x 1.0) (* (+ x 1.0) (+ x 1.0))) (* (* 4.0 (sqrt x)) (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x)))))) (+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x))))))

simplify2.7s

Counts
153 → 153
Iterations

Useful iterations: done (2.6s)

IterNodesCost
0334147220
11530120798
done5000119951

prune900.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes36.0ms

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 (1.0ms)

IterNodesCost
013325
119325
done19325

end0.0ms

sample1.3s

Algorithm
intervals
Results
519.0ms8000×body80valid
506.0ms7946×body80nan