Details

Time bar (total: 23.1s)

sample111.0ms

Algorithm
intervals
Results
46.0ms256×body80valid
29.0ms254×body80nan

simplify3.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01928
14428
216328
381328
4359028
done500128

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.3b
(* PI t)
0.4b
(/ (- 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))))))

rewrite323.0ms

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:
32.0ms
(* 3.0 (* v v))
12.0ms
(* PI t)
214.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
58.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series981.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* 3.0 (* v v))
21.0ms
(* PI t)
652.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
282.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify1.6s

Counts
106 → 106
Iterations

Useful iterations: 2 (584.0ms)

IterNodesCost
02502389
17292226
235381908
done50001908

prune454.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite388.0ms

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:
21.0ms
(* 3.0 (* v v))
87.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
243.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
34.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.2s

Counts
4 → 12
Calls
4 calls:
47.0ms
(* 3.0 (* v v))
251.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
706.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
173.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify1.8s

Counts
108 → 108
Iterations

Useful iterations: 2 (665.0ms)

IterNodesCost
02582663
17512474
234882144
done50002144

prune493.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.2b
(* 3.0 (* v v))
0.5b
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- (pow 1.0 3) (pow v 6))))
0.5b
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite286.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log add-cbrt-cube
31×times-frac
26×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
18×associate-*r/
16×pow1
13×prod-exp cbrt-unprod associate-/l*
9×cbrt-undiv div-exp associate-*l*
8×sqrt-div associate-/r/
7×flip3-- pow-prod-down flip--
6×associate-*r*
4×frac-times add-log-exp
3×*-commutative div-inv unswap-sqr
2×div-sub associate-*l/
1×frac-2neg clear-num associate-/r* sqrt-prod associate-/l/
Counts
4 → 118
Calls
4 calls:
27.0ms
(* 5.0 (* v v))
17.0ms
(* 3.0 (* v v))
191.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- (pow 1.0 3) (pow v 6))))
42.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.1s

Counts
4 → 12
Calls
4 calls:
41.0ms
(* 5.0 (* v v))
48.0ms
(* 3.0 (* v v))
779.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- (pow 1.0 3) (pow v 6))))
213.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify1.6s

Counts
130 → 130
Iterations

Useful iterations: 2 (623.0ms)

IterNodesCost
03123394
18593198
233682790
done50012790

prune849.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.2b
(* 3.0 (* v v))
0.5b
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* (* t (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3))))) (- (pow (pow 1.0 3) 3) (pow (pow v 6) 3))))
0.5b
(* t (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))))

rewrite595.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log add-cbrt-cube
31×times-frac
26×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
18×associate-*r/
16×pow1
13×prod-exp cbrt-unprod associate-/l*
9×cbrt-undiv div-exp associate-*l*
8×sqrt-div associate-/r/
7×flip3-- pow-prod-down flip--
6×associate-*r*
4×frac-times add-log-exp
3×*-commutative div-inv unswap-sqr
2×div-sub associate-*l/
1×frac-2neg clear-num associate-/r* sqrt-prod associate-/l/
Counts
4 → 118
Calls
4 calls:
18.0ms
(* 3.0 (* v v))
17.0ms
(* 3.0 (* v v))
459.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* (* t (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3))))) (- (pow (pow 1.0 3) 3) (pow (pow v 6) 3))))
96.0ms
(* t (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))))

series849.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* 3.0 (* v v))
26.0ms
(* 3.0 (* v v))
505.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* (* t (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3))))) (- (pow (pow 1.0 3) 3) (pow (pow v 6) 3))))
291.0ms
(* t (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))))

simplify1.6s

Counts
130 → 130
Iterations

Useful iterations: 2 (595.0ms)

IterNodesCost
02664011
17363716
230843238
done50003238

prune1.4s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes406.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
044105
161105
done61105

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.4s8002×body80valid
1.1s7822×body80nan