Details

Time bar (total: 31.6s)

sample106.0ms

Algorithm
intervals
Results
33.0ms256×body80valid
30.0ms244×body80nan

simplify4.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01928
14428
216328
381928
4401628
done500028

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize69.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.2b
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
0.3b
(* PI t)
0.4b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite395.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log add-cbrt-cube
18×associate-*r/
16×pow1
13×add-sqr-sqrt prod-exp cbrt-unprod
10×add-cube-cbrt *-un-lft-identity
8×flip3-- sqrt-div associate-*r* associate-/r/ flip--
7×associate-*l* pow-prod-down
4×cbrt-undiv frac-times div-exp add-log-exp
3×times-frac *-commutative associate-/l*
2×associate-*l/ associate-/l/ unswap-sqr
1×frac-2neg div-sub clear-num associate-/r* sqrt-prod div-inv
Counts
4 → 94
Calls
4 calls:
35.0ms
(* 5.0 (* v v))
256.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
24.0ms
(* PI t)
72.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.6s

Counts
4 → 12
Calls
4 calls:
57.0ms
(* 5.0 (* v v))
1.1s
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
43.0ms
(* PI t)
378.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify748.0ms

Counts
106 → 106
Iterations

Useful iterations: done (741.0ms)

IterNodesCost
02502389
17842252
done50001948

prune1.0s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize77.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.2b
(/ (* (cbrt (- 1.0 (* 5.0 (* v v)))) (cbrt (- 1.0 (* 5.0 (* v v))))) (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
0.3b
(* PI t)
0.4b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite218.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log
31×add-cbrt-cube
16×pow1 prod-exp cbrt-unprod
12×cbrt-div
11×add-sqr-sqrt
10×associate-*r/
8×add-cube-cbrt flip3-- *-un-lft-identity associate-*r* flip-- associate-/l/
7×associate-*l* pow-prod-down
6×cbrt-undiv div-exp
4×frac-times sqrt-div add-log-exp
3×*-commutative
2×associate-*l/ associate-/r/ unswap-sqr
1×frac-2neg times-frac clear-num associate-/r* sqrt-prod div-inv associate-/l*
Counts
4 → 93
Calls
4 calls:
30.0ms
(* 5.0 (* v v))
86.0ms
(/ (* (cbrt (- 1.0 (* 5.0 (* v v)))) (cbrt (- 1.0 (* 5.0 (* v v))))) (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
12.0ms
(* PI t)
84.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series2.2s

Counts
4 → 12
Calls
4 calls:
48.0ms
(* 5.0 (* v v))
1.7s
(/ (* (cbrt (- 1.0 (* 5.0 (* v v)))) (cbrt (- 1.0 (* 5.0 (* v v))))) (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
41.0ms
(* PI t)
369.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify3.4s

Counts
105 → 105
Iterations

Useful iterations: 2 (1.1s)

IterNodesCost
02582577
17862348
247921997
done50001997

prune1.0s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.2b
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
0.3b
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
0.4b
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite647.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log associate-*r/ add-cbrt-cube
16×pow1
13×add-sqr-sqrt prod-exp cbrt-unprod
10×add-cube-cbrt *-un-lft-identity sqrt-div
9×flip3-- associate-*l* flip--
8×associate-/r/
7×pow-prod-down
6×associate-*r*
4×cbrt-undiv frac-times div-exp add-log-exp
3×times-frac *-commutative associate-/l*
2×associate-*l/ associate-/l/ unswap-sqr
1×frac-2neg div-sub clear-num associate-/r* sqrt-prod div-inv
Counts
4 → 96
Calls
4 calls:
35.0ms
(* 5.0 (* v v))
427.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
118.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
56.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.8s

Counts
4 → 12
Calls
4 calls:
59.0ms
(* 5.0 (* v v))
1.1s
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
379.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
278.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify806.0ms

Counts
108 → 108
Iterations

Useful iterations: done (799.0ms)

IterNodesCost
02582663
18192484
done50002168

prune1.0s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize115.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.3b
(* t PI)
0.3b
(/ (- 1.0 (* 5.0 (* v v))) (* t PI))
0.5b
(/ (/ (- 1.0 (* 5.0 (* v v))) (* t PI)) (* (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v (* 2 2)))))) (- (* 1.0 1.0) (pow v 4))))

rewrite248.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log add-cbrt-cube
16×add-sqr-sqrt times-frac
13×add-cube-cbrt *-un-lft-identity
12×cbrt-undiv div-exp
11×pow1
10×prod-exp cbrt-unprod associate-/l*
8×associate-*r/ associate-/r/
7×flip3-- flip--
6×sqrt-div associate-*l*
4×frac-times associate-*r* pow-prod-down div-inv add-log-exp
3×div-sub associate-/l/
2×frac-2neg associate-*l/ clear-num associate-/r* *-commutative unswap-sqr
Counts
4 → 108
Calls
4 calls:
35.0ms
(* 5.0 (* v v))
17.0ms
(* t PI)
36.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* t PI))
151.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) (* t PI)) (* (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v (* 2 2)))))) (- (* 1.0 1.0) (pow v 4))))

series1.5s

Counts
4 → 12
Calls
4 calls:
49.0ms
(* 5.0 (* v v))
39.0ms
(* t PI)
158.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* t PI))
1.3s
(/ (/ (- 1.0 (* 5.0 (* v v))) (* t PI)) (* (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v (* 2 2)))))) (- (* 1.0 1.0) (pow v 4))))

simplify3.9s

Counts
120 → 120
Iterations

Useful iterations: done (3.9s)

IterNodesCost
02453268
17252972
245402452
done50022446

prune1.3s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes679.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02247
12847
done2847

end0.0ms

sample4.0s

Algorithm
intervals
Results
2.0s8051×body80nan
1.2s8000×body80valid