Details

Time bar (total: 14.4s)

sample30.0ms

Algorithm
intervals
Results
9.0ms282×body80nan
9.0ms256×body80valid

simplify1.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01620
13220
28820
323320
445420
567420
685020
786220
done86220

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* 3.0 PI) (- 1.0 (* v v)))
0.0b
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
0.2b
(* 6.0 (* v v))
1.0b
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log add-cbrt-cube
23×pow1
18×associate-*r/ prod-exp cbrt-unprod
13×flip3-- flip--
12×add-sqr-sqrt sqrt-div pow-prod-down
11×associate-*r*
10×add-cube-cbrt *-un-lft-identity
8×frac-times associate-/r/
5×associate-*l*
4×cbrt-undiv div-exp associate-*l/ add-log-exp
3×times-frac sqrt-prod *-commutative associate-/l*
2×distribute-rgt-in sub-neg distribute-lft-in
1×frac-2neg clear-num associate-/r* div-inv difference-of-squares unswap-sqr
Counts
4 → 109
Calls
4 calls:
10.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
35.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
6.0ms
(* 6.0 (* v v))
28.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series882.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
293.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
32.0ms
(* 6.0 (* v v))
446.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify1.3s

Counts
121 → 121
Iterations

Useful iterations: 2 (487.0ms)

IterNodesCost
03072810
18852612
237312224
done50012224

prune298.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v))))
0.2b
(* 6.0 (* v v))
1.0b
(/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v)))))
1.0b
(* (/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v)))) (/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v))))))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
91×sqrt-prod
88×times-frac
80×add-sqr-sqrt
65×add-cube-cbrt *-un-lft-identity
52×add-exp-log add-cbrt-cube
43×associate-*r*
20×prod-exp cbrt-unprod
15×associate-*l*
14×cbrt-undiv div-exp
12×associate-/l*
11×pow1
8×associate-/r/
7×associate-/r*
6×unswap-sqr
5×associate-*r/
4×flip3-- sqrt-div pow-prod-down flip-- div-inv add-log-exp
2×frac-2neg clear-num *-commutative
1×frac-times sqrt-undiv associate-*l/
Counts
4 → 200
Calls
4 calls:
9.0ms
(/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v))))
6.0ms
(* 6.0 (* v v))
6.0ms
(/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v)))))
59.0ms
(* (/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v)))) (/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v))))))

series1.1s

Counts
4 → 12
Calls
4 calls:
178.0ms
(/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v))))
26.0ms
(* 6.0 (* v v))
231.0ms
(/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v)))))
643.0ms
(* (/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v)))) (/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify1.8s

Counts
212 → 212
Iterations

Useful iterations: 2 (814.0ms)

IterNodesCost
03935378
111384770
248864242
done50004242

prune492.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 6.0 (* v v))
0.2b
(* 6.0 (* v v))
1.0b
(* (/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v)))) (* (/ (sqrt 4.0) (sqrt (- (pow 2.0 3) (pow (* 6.0 (* v v)) 3)))) (sqrt (+ (* 2.0 2.0) (+ (* (* 6.0 (* v v)) (* 6.0 (* v v))) (* 2.0 (* 6.0 (* v v))))))))
1.0b
(/ (sqrt 4.0) (sqrt (- (pow 2.0 3) (pow (* 6.0 (* v v)) 3))))

rewrite419.0ms

Algorithm
rewrite-expression-head
Rules
145×sqrt-prod
129×add-sqr-sqrt
102×times-frac
71×*-un-lft-identity
70×add-exp-log add-cbrt-cube
57×add-cube-cbrt
56×difference-of-squares
42×sqr-pow
35×prod-exp cbrt-unprod
19×pow1
18×associate-*l*
16×associate-/r*
14×cbrt-undiv unpow-prod-down cube-prod div-exp
11×associate-*r/
10×sqrt-div
9×frac-times pow-prod-down
7×difference-cubes distribute-lft-out--
6×associate-/l*
4×flip3-+ associate-/r/ flip-+ add-log-exp
3×associate-*r* associate-*l/ *-commutative
2×flip3-- flip-- div-inv unswap-sqr
1×sqrt-undiv frac-2neg clear-num
Counts
4 → 229
Calls
4 calls:
6.0ms
(* 6.0 (* v v))
6.0ms
(* 6.0 (* v v))
369.0ms
(* (/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v)))) (* (/ (sqrt 4.0) (sqrt (- (pow 2.0 3) (pow (* 6.0 (* v v)) 3)))) (sqrt (+ (* 2.0 2.0) (+ (* (* 6.0 (* v v)) (* 6.0 (* v v))) (* 2.0 (* 6.0 (* v v))))))))
23.0ms
(/ (sqrt 4.0) (sqrt (- (pow 2.0 3) (pow (* 6.0 (* v v)) 3))))

series1.4s

Counts
4 → 12
Calls
4 calls:
35.0ms
(* 6.0 (* v v))
27.0ms
(* 6.0 (* v v))
725.0ms
(* (/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v)))) (* (/ (sqrt 4.0) (sqrt (- (pow 2.0 3) (pow (* 6.0 (* v v)) 3)))) (sqrt (+ (* 2.0 2.0) (+ (* (* 6.0 (* v v)) (* 6.0 (* v v))) (* 2.0 (* 6.0 (* v v))))))))
571.0ms
(/ (sqrt 4.0) (sqrt (- (pow 2.0 3) (pow (* 6.0 (* v v)) 3))))

simplify1.7s

Counts
241 → 241
Iterations

Useful iterations: 2 (621.0ms)

IterNodesCost
04989632
112708060
248856902
done50006902

prune799.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 6.0 (* v v))
1.0b
(/ 4.0 (/ (* (* (sqrt (- 2.0 (* 6.0 (* v v)))) 3.0) (* PI (- (pow 1.0 3) (pow v 6)))) (+ (* 1.0 1.0) (+ (* (* v v) (* v v)) (* 1.0 (* v v))))))
1.0b
(* (sqrt (- 2.0 (* 6.0 (* v v)))) 3.0)
1.0b
(* (* (sqrt (- 2.0 (* 6.0 (* v v)))) 3.0) (* PI (- (pow 1.0 3) (pow v 6))))

rewrite188.0ms

Algorithm
rewrite-expression-head
Rules
48×add-exp-log add-cbrt-cube
39×times-frac
31×add-sqr-sqrt
26×add-cube-cbrt *-un-lft-identity
23×pow1
20×prod-exp cbrt-unprod
12×pow-prod-down
11×cbrt-undiv div-exp
10×associate-*l* associate-*l/
9×associate-/r* associate-/r/
8×distribute-rgt-in distribute-lft-in sqrt-div associate-*r/
7×flip3-- flip--
5×associate-*r* div-inv
4×frac-times sub-neg flip3-+ sqrt-prod flip-+ add-log-exp
3×*-commutative associate-/l* unswap-sqr
1×frac-2neg clear-num
Counts
4 → 143
Calls
4 calls:
6.0ms
(* 6.0 (* v v))
116.0ms
(/ 4.0 (/ (* (* (sqrt (- 2.0 (* 6.0 (* v v)))) 3.0) (* PI (- (pow 1.0 3) (pow v 6)))) (+ (* 1.0 1.0) (+ (* (* v v) (* v v)) (* 1.0 (* v v))))))
9.0ms
(* (sqrt (- 2.0 (* 6.0 (* v v)))) 3.0)
51.0ms
(* (* (sqrt (- 2.0 (* 6.0 (* v v)))) 3.0) (* PI (- (pow 1.0 3) (pow v 6))))

series830.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* 6.0 (* v v))
446.0ms
(/ 4.0 (/ (* (* (sqrt (- 2.0 (* 6.0 (* v v)))) 3.0) (* PI (- (pow 1.0 3) (pow v 6)))) (+ (* 1.0 1.0) (+ (* (* v v) (* v v)) (* 1.0 (* v v))))))
120.0ms
(* (sqrt (- 2.0 (* 6.0 (* v v)))) 3.0)
236.0ms
(* (* (sqrt (- 2.0 (* 6.0 (* v v)))) 3.0) (* PI (- (pow 1.0 3) (pow v 6))))

simplify535.0ms

Counts
155 → 155
Iterations

Useful iterations: done (528.0ms)

IterNodesCost
04096221
112015470
done50005390

prune537.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes36.0ms

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
01824
12224
done2224

end0.0ms

sample746.0ms

Algorithm
intervals
Results
296.0ms8000×body80valid
272.0ms8255×body80nan