Details

Time bar (total: 13.0s)

sample40.0ms

Algorithm
intervals
Results
13.0ms232×body80nan
12.0ms256×body80valid

simplify1.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01928
14428
216128
378028
4343828
done500028

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 5.0 (* v v))
0.2b
(* PI t)
0.3b
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
0.5b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite81.0ms

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:
6.0ms
(* 5.0 (* v v))
3.0ms
(* PI t)
54.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
14.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series819.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* 5.0 (* v v))
19.0ms
(* PI t)
582.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
187.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify1.1s

Counts
106 → 106
Iterations

Useful iterations: 2 (315.0ms)

IterNodesCost
02502389
17472232
237771912
done50011912

prune322.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 5.0 (* v v))
0.2b
(* PI t)
0.3b
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (* PI t) (sqrt 2.0)) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
0.5b
(* (* PI t) (sqrt 2.0))

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
36×add-exp-log add-cbrt-cube
17×prod-exp cbrt-unprod
16×pow1
14×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
10×associate-*r*
8×associate-*r/ associate-/r/
7×flip3-- associate-*l* pow-prod-down flip--
6×sqrt-div
5×cbrt-undiv div-exp
4×frac-times add-log-exp
3×times-frac sqrt-prod *-commutative associate-/l*
2×associate-*l/ associate-/l/ unswap-sqr
1×frac-2neg div-sub clear-num associate-/r* div-inv
Counts
4 → 96
Calls
4 calls:
6.0ms
(* 5.0 (* v v))
3.0ms
(* PI t)
106.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (* PI t) (sqrt 2.0)) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
8.0ms
(* (* PI t) (sqrt 2.0))

series712.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 5.0 (* v v))
20.0ms
(* PI t)
603.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (* PI t) (sqrt 2.0)) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
66.0ms
(* (* PI t) (sqrt 2.0))

simplify1.3s

Counts
108 → 108
Iterations

Useful iterations: 2 (328.0ms)

IterNodesCost
02602300
17912138
239121792
done50011792

prune322.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite977.0ms

Algorithm
rewrite-expression-head
Rules
78×add-exp-log
56×add-cbrt-cube
48×prod-exp cbrt-unprod
36×pow1
22×pow-prod-down
13×add-sqr-sqrt associate-*r*
11×add-cube-cbrt *-un-lft-identity
8×cbrt-undiv associate-*r/ div-exp associate-/r/
7×flip3-- flip--
6×cbrt-prod sqrt-div
5×associate-*l*
4×frac-times add-log-exp
3×times-frac sqrt-prod *-commutative associate-/l*
2×associate-*l/ associate-/l/
1×frac-2neg div-sub clear-num associate-/r* div-inv unswap-sqr
Counts
4 → 117
Calls
4 calls:
3.0ms
(* PI t)
60.0ms
(* (* (* PI t) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
889.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (* (* PI t) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
18.0ms
(* (* PI t) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))

series1.0s

Counts
4 → 12
Calls
4 calls:
20.0ms
(* PI t)
75.0ms
(* (* (* PI t) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
583.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (* (* PI t) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
329.0ms
(* (* PI t) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))

simplify1.3s

Counts
129 → 129
Iterations

Useful iterations: 2 (369.0ms)

IterNodesCost
02943833
19473610
247252548
done50002548

prune392.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 5.0 (* v v))
0.2b
(* PI t)
0.2b
(/ (- 1.0 (* 5.0 (* v v))) (* PI t))
0.5b
(/ (/ (- 1.0 (* 5.0 (* v v))) (* PI t)) (pow (cbrt (sqrt 2.0)) 3))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
246×times-frac
118×add-sqr-sqrt
115×add-cube-cbrt *-un-lft-identity
96×cbrt-prod
72×unpow-prod-down cube-prod
48×sqrt-prod
40×add-exp-log
27×div-inv
25×associate-/r* add-cbrt-cube
17×div-exp
11×pow1
10×associate-/l*
8×cube-mult unpow3 prod-exp sqr-pow
7×cbrt-undiv
6×associate-*l* cbrt-unprod
4×associate-*r* pow-prod-down add-log-exp
3×pow-to-exp div-sub pow-exp associate-/l/
2×frac-2neg clear-num *-commutative unswap-sqr
1×flip3-- flip--
Counts
4 → 284
Calls
4 calls:
6.0ms
(* 5.0 (* v v))
3.0ms
(* PI t)
7.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* PI t))
17.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) (* PI t)) (pow (cbrt (sqrt 2.0)) 3))

series318.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* 5.0 (* v v))
19.0ms
(* PI t)
80.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* PI t))
191.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) (* PI t)) (pow (cbrt (sqrt 2.0)) 3))

simplify1.1s

Counts
296 → 296
Iterations

Useful iterations: 2 (419.0ms)

IterNodesCost
03597830
18916613
239226295
done50006295

prune785.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes124.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03049
13849
done3849

end0.0ms

sample986.0ms

Algorithm
intervals
Results
375.0ms8000×body80valid
350.0ms8117×body80nan