Details

Time bar (total: 21.5s)

sample81.0ms

Algorithm
intervals
Results
27.0ms256×body80valid
24.0ms248×body80nan

simplify3.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01928
14428
216328
381328
4359028
done500128

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.2b
(* PI t)
0.2b
(/ (- 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))))))

rewrite417.0ms

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:
38.0ms
(* 3.0 (* v v))
20.0ms
(* PI t)
276.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
75.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.3s

Counts
4 → 12
Calls
4 calls:
51.0ms
(* 3.0 (* v v))
30.0ms
(* PI t)
928.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
297.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify2.0s

Counts
106 → 106
Iterations

Useful iterations: 2 (772.0ms)

IterNodesCost
02502389
17292226
235381908
done50001908

prune635.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite158.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log add-cbrt-cube
16×pow1
13×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
8×associate-*r/ associate-*r*
7×associate-*l* pow-prod-down
4×sqrt-div add-log-exp
3×cbrt-undiv flip3-- times-frac div-exp *-commutative flip-- associate-/l*
2×associate-/r/ associate-/l/ unswap-sqr
1×frac-2neg div-sub clear-num associate-/r* sqrt-prod div-inv
Counts
4 → 86
Calls
4 calls:
21.0ms
(* 3.0 (* v v))
15.0ms
(* PI t)
63.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
56.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.1s

Counts
4 → 12
Calls
4 calls:
30.0ms
(* 3.0 (* v v))
31.0ms
(* PI t)
766.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
284.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify1.9s

Counts
98 → 98
Iterations

Useful iterations: 2 (990.0ms)

IterNodesCost
02081791
15781670
224781454
done50001454

prune455.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite296.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log add-cbrt-cube
16×pow1 associate-*r/
13×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
9×associate-*l*
7×pow-prod-down
6×sqrt-div associate-*r*
4×flip3-- flip-- add-log-exp
3×cbrt-undiv times-frac div-exp *-commutative associate-/l*
2×associate-/r/ associate-/l/ unswap-sqr
1×frac-2neg div-sub clear-num associate-/r* sqrt-prod div-inv
Counts
4 → 88
Calls
4 calls:
27.0ms
(* 3.0 (* v v))
112.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))))
104.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
46.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.3s

Counts
4 → 12
Calls
4 calls:
47.0ms
(* 3.0 (* v v))
708.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))))
272.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
267.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify1.4s

Counts
100 → 100
Iterations

Useful iterations: 2 (451.0ms)

IterNodesCost
02162063
15941916
223941688
done50011688

prune417.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 5.0 (* v v))
0.2b
(* 3.0 (* v v))
0.4b
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
0.4b
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))

rewrite227.0ms

Algorithm
rewrite-expression-head
Rules
31×times-frac
28×add-exp-log add-cbrt-cube
26×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
16×pow1
13×associate-/l*
9×associate-*l* prod-exp cbrt-unprod
8×associate-*r/
7×pow-prod-down
6×cbrt-undiv div-exp associate-*r*
4×sqrt-div add-log-exp
3×*-commutative div-inv unswap-sqr
2×flip3-- div-sub associate-/r/ flip--
1×frac-2neg clear-num associate-/r* sqrt-prod associate-/l/
Counts
4 → 108
Calls
4 calls:
39.0ms
(* 5.0 (* v v))
38.0ms
(* 3.0 (* v v))
55.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
87.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))

series979.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* 5.0 (* v v))
47.0ms
(* 3.0 (* v v))
191.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
714.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))

simplify1.2s

Counts
120 → 120
Iterations

Useful iterations: 2 (492.0ms)

IterNodesCost
02682398
16682265
223202033
done50002033

prune466.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes154.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02130
12730
done2730

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.5s7932×body80nan
914.0ms8000×body80valid