Details

Time bar (total: 25.1s)

sample160.0ms

Algorithm
intervals
Results
81.0ms105×body2560valid
30.0ms80×body1280valid
15.0ms288×body80nan
12.0ms37×body640valid
4.0ms21×body320valid
1.0ms7×body160valid
0.0ms6×body80valid

simplify5.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0914
11914
24214
37714
414614
522214
629714
743614
8104314
done500014

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
0.2b
(* 5.0 (* v v))
0.4b
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity
12×times-frac
10×add-exp-log add-cbrt-cube
8×pow1
4×associate-/r* difference-of-squares
3×associate-*l* pow-prod-down prod-exp cbrt-unprod associate-/l* add-log-exp
2×flip3-- associate-/r/ flip-- associate-/l/
1×cbrt-undiv acos-asin frac-2neg div-sub div-exp associate-*r* clear-num *-commutative div-inv unswap-sqr
Counts
3 → 63
Calls
3 calls:
24.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
34.0ms
(* 5.0 (* v v))
1.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series166.0ms

Counts
3 → 9
Calls
3 calls:
111.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
47.0ms
(* 5.0 (* v v))
8.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify2.7s

Counts
72 → 72
Iterations

Useful iterations: 3 (981.0ms)

IterNodesCost
01391198
13221158
29591054
329951052
done50001052

prune240.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ (- 1.0 (* 5.0 (* v v))) (- (pow v 6) (pow 1.0 3))) (+ (* (* v v) (* v v)) (+ (* 1.0 1.0) (* (* v v) 1.0))))
0.1b
(* (* v v) (* v v))
0.2b
(* 5.0 (* v v))
0.4b
(acos (* (/ (- 1.0 (* 5.0 (* v v))) (- (pow v 6) (pow 1.0 3))) (+ (* (* v v) (* v v)) (+ (* 1.0 1.0) (* (* v v) 1.0)))))

rewrite461.0ms

Algorithm
rewrite-expression-head
Rules
122×pow1
83×add-sqr-sqrt
58×associate-*l*
49×times-frac
36×pow-prod-up difference-of-squares
32×*-un-lft-identity
27×pow-prod-down
26×add-exp-log add-cube-cbrt add-cbrt-cube
22×pow-sqr
21×unpow-prod-down sqr-pow
18×pow-plus
13×pow2 prod-exp cbrt-unprod
9×cube-prod
5×associate-*r*
4×add-log-exp unswap-sqr
3×*-commutative distribute-lft-out--
2×frac-times flip3-+ associate-*r/ associate-/r/ flip-+
1×cbrt-undiv distribute-rgt-in acos-asin flip3-- distribute-lft-in swap-sqr div-exp associate-*l/ flip-- div-inv
Counts
4 → 169
Calls
4 calls:
343.0ms
(* (/ (- 1.0 (* 5.0 (* v v))) (- (pow v 6) (pow 1.0 3))) (+ (* (* v v) (* v v)) (+ (* 1.0 1.0) (* (* v v) 1.0))))
63.0ms
(* (* v v) (* v v))
42.0ms
(* 5.0 (* v v))
5.0ms
(acos (* (/ (- 1.0 (* 5.0 (* v v))) (- (pow v 6) (pow 1.0 3))) (+ (* (* v v) (* v v)) (+ (* 1.0 1.0) (* (* v v) 1.0)))))

series344.0ms

Counts
4 → 12
Calls
4 calls:
252.0ms
(* (/ (- 1.0 (* 5.0 (* v v))) (- (pow v 6) (pow 1.0 3))) (+ (* (* v v) (* v v)) (+ (* 1.0 1.0) (* (* v v) 1.0))))
44.0ms
(* (* v v) (* v v))
30.0ms
(* 5.0 (* v v))
17.0ms
(acos (* (/ (- 1.0 (* 5.0 (* v v))) (- (pow v 6) (pow 1.0 3))) (+ (* (* v v) (* v v)) (+ (* 1.0 1.0) (* (* v v) 1.0)))))

simplify2.5s

Counts
181 → 181
Iterations

Useful iterations: 2 (998.0ms)

IterNodesCost
02714287
19503277
241093027
done50003027

prune803.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize57.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 6) (pow 1.0 3))) (+ (* 1.0 (+ 1.0 (* v v))) (pow v 4)))
0.0b
(exp (log (acos (* (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 6) (pow 1.0 3))) (+ (* 1.0 (+ 1.0 (* v v))) (pow v 4))))))
0.2b
(* 5.0 (pow v 2))
0.4b
(acos (* (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 6) (pow 1.0 3))) (+ (* 1.0 (+ 1.0 (* v v))) (pow v 4))))

rewrite279.0ms

Algorithm
rewrite-expression-head
Rules
92×add-sqr-sqrt
57×associate-*l*
49×times-frac
36×*-un-lft-identity difference-of-squares
30×add-cube-cbrt
25×unpow-prod-down
23×sqr-pow
14×add-exp-log
11×associate-*r* add-cbrt-cube
9×cube-prod
7×pow1
6×unswap-sqr
5×prod-exp
4×exp-prod add-log-exp
3×log-prod exp-sum cbrt-unprod distribute-lft-out--
2×frac-times flip3-+ associate-*r/ associate-/r/ *-commutative flip-+ unpow2
1×cbrt-undiv distribute-rgt-in acos-asin pow-to-exp flip3-- distribute-lft-in div-exp pow-prod-down associate-*l/ pow-exp log-pow flip-- div-inv rem-exp-log
Counts
4 → 129
Calls
4 calls:
231.0ms
(* (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 6) (pow 1.0 3))) (+ (* 1.0 (+ 1.0 (* v v))) (pow v 4)))
6.0ms
(exp (log (acos (* (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 6) (pow 1.0 3))) (+ (* 1.0 (+ 1.0 (* v v))) (pow v 4))))))
24.0ms
(* 5.0 (pow v 2))
6.0ms
(acos (* (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 6) (pow 1.0 3))) (+ (* 1.0 (+ 1.0 (* v v))) (pow v 4))))

series269.0ms

Counts
4 → 12
Calls
4 calls:
206.0ms
(* (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 6) (pow 1.0 3))) (+ (* 1.0 (+ 1.0 (* v v))) (pow v 4)))
9.0ms
(exp (log (acos (* (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 6) (pow 1.0 3))) (+ (* 1.0 (+ 1.0 (* v v))) (pow v 4))))))
38.0ms
(* 5.0 (pow v 2))
15.0ms
(acos (* (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 6) (pow 1.0 3))) (+ (* 1.0 (+ 1.0 (* v v))) (pow v 4))))

simplify2.3s

Counts
141 → 141
Iterations

Useful iterations: done (2.3s)

IterNodesCost
02783962
19343836
233573437
done50013425

prune895.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.4b

localize53.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (pow v 2))
0.2b
(* 5.0 (pow v 2))
0.4b
(acos (* (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 6) (pow 1.0 3))) (+ (* 1.0 (+ 1.0 (* v v))) (pow v 4))))
0.4b
(acos (* (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 6) (pow 1.0 3))) (+ (* 1.0 (+ 1.0 (* v v))) (pow v 4))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
16×associate-*r*
14×add-exp-log
10×add-cube-cbrt *-un-lft-identity
8×unpow-prod-down add-cbrt-cube unswap-sqr
6×associate-*l* prod-exp
4×pow1 unpow2 add-log-exp sqr-pow
2×acos-asin pow-to-exp pow-exp *-commutative cbrt-unprod
Counts
4 → 70
Calls
4 calls:
23.0ms
(* 5.0 (pow v 2))
16.0ms
(* 5.0 (pow v 2))
3.0ms
(acos (* (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 6) (pow 1.0 3))) (+ (* 1.0 (+ 1.0 (* v v))) (pow v 4))))
3.0ms
(acos (* (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 6) (pow 1.0 3))) (+ (* 1.0 (+ 1.0 (* v v))) (pow v 4))))

series96.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* 5.0 (pow v 2))
44.0ms
(* 5.0 (pow v 2))
9.0ms
(acos (* (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 6) (pow 1.0 3))) (+ (* 1.0 (+ 1.0 (* v v))) (pow v 4))))
10.0ms
(acos (* (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 6) (pow 1.0 3))) (+ (* 1.0 (+ 1.0 (* v v))) (pow v 4))))

simplify1.2s

Counts
82 → 82
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0841262
11891216
24421038
315161038
done50001032

prune664.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.4b

regimes121.0ms

Accuracy

0% (0.0b remaining)

Error of 0.6b against oracle of 0.6b and baseline of 0.6b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02562
13062
done3062

end0.0ms

sample5.8s

Algorithm
intervals
Results
2.5s2976×body2560valid
1.8s2527×body1280valid
529.0ms8051×body80nan
475.0ms1215×body640valid
185.0ms649×body320valid
62.0ms422×body160valid
18.0ms211×body80valid