Details

Time bar (total: 18.5s)

sample79.0ms

Algorithm
intervals
Results
24.0ms287×body80nan
24.0ms256×body80valid

simplify3.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01928
14428
216328
381928
4401628
done500028

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 3.0 (* 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))))
0.4b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite276.0ms

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:
19.0ms
(* 3.0 (* v v))
7.0ms
(* PI t)
180.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
66.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.2s

Counts
4 → 12
Calls
4 calls:
48.0ms
(* 3.0 (* v v))
38.0ms
(* PI t)
851.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
257.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify626.0ms

Counts
106 → 106
Iterations

Useful iterations: done (620.0ms)

IterNodesCost
02502389
17832254
done50001944

prune556.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize39.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 3.0 (* v v))
0.3b
(/ (- 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))))))

rewrite529.0ms

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:
33.0ms
(* 3.0 (* v v))
336.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
100.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
50.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.5s

Counts
4 → 12
Calls
4 calls:
29.0ms
(* 3.0 (* v v))
858.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
320.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
267.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify548.0ms

Counts
108 → 108
Iterations

Useful iterations: done (544.0ms)

IterNodesCost
02582663
18202480
done50002164

prune603.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 3.0 (* 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))

rewrite483.0ms

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:
25.0ms
(* 3.0 (* v v))
7.0ms
(* PI t)
399.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (* PI t) (sqrt 2.0)) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
43.0ms
(* (* PI t) (sqrt 2.0))

series1.1s

Counts
4 → 12
Calls
4 calls:
40.0ms
(* 3.0 (* v v))
32.0ms
(* PI t)
940.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (* PI t) (sqrt 2.0)) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
122.0ms
(* (* PI t) (sqrt 2.0))

simplify557.0ms

Counts
108 → 108
Iterations

Useful iterations: done (554.0ms)

IterNodesCost
02602300
18232140
done50011824

prune507.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.1b

localize90.0ms

Local error

Found 4 expressions with local error:

3.3b
(/ (pow v 4) (* t (* (sqrt 2.0) (* (pow (sqrt 1.0) 3) PI))))
3.4b
(/ (pow v 4) t)
6.0b
(/ (* v v) t)
6.0b
(/ (pow v 2) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))

rewrite500.0ms

Algorithm
rewrite-expression-head
Rules
115×add-exp-log
55×prod-exp
39×times-frac add-cbrt-cube
35×div-exp
30×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
24×unpow-prod-down
23×associate-/l*
14×pow-to-exp pow-exp
13×cbrt-unprod
11×cbrt-undiv
8×associate-/r* sqr-pow
4×pow1 frac-2neg clear-num div-inv add-log-exp
2×unpow2
Counts
4 → 156
Calls
4 calls:
93.0ms
(/ (pow v 4) (* t (* (sqrt 2.0) (* (pow (sqrt 1.0) 3) PI))))
9.0ms
(/ (pow v 4) t)
13.0ms
(/ (* v v) t)
379.0ms
(/ (pow v 2) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))

series746.0ms

Counts
4 → 12
Calls
4 calls:
400.0ms
(/ (pow v 4) (* t (* (sqrt 2.0) (* (pow (sqrt 1.0) 3) PI))))
42.0ms
(/ (pow v 4) t)
22.0ms
(/ (* v v) t)
282.0ms
(/ (pow v 2) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))

simplify443.0ms

Counts
168 → 168
Iterations

Useful iterations: done (436.0ms)

IterNodesCost
02842560
17662299
done50012088

prune1.4s

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.1b

regimes448.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01928
12528
done2528

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.2s8091×body80nan
1.1s8000×body80valid