Details

Time bar (total: 26.8s)

sample112.0ms

Algorithm
intervals
Results
49.0ms256×body80valid
29.0ms254×body80nan

simplify3.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01928
14428
216328
381328
4359028
done500128

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize40.0ms

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))))))

rewrite361.0ms

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
(* 3.0 (* v v))
14.0ms
(* PI t)
226.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
80.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.1s

Counts
4 → 12
Calls
4 calls:
27.0ms
(* 3.0 (* v v))
27.0ms
(* PI t)
791.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
237.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify2.1s

Counts
106 → 106
Iterations

Useful iterations: 2 (689.0ms)

IterNodesCost
02502389
17292226
235381908
done50001908

prune479.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

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))))))

rewrite473.0ms

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:
17.0ms
(* 3.0 (* v v))
86.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
303.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
62.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.3s

Counts
4 → 12
Calls
4 calls:
52.0ms
(* 3.0 (* v v))
252.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
767.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
195.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify1.8s

Counts
108 → 108
Iterations

Useful iterations: 2 (710.0ms)

IterNodesCost
02582663
17512474
234882144
done50002144

prune577.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize61.0ms

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) (* (- (pow 1.0 3) (pow v 6)) (* t (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))))))
0.5b
(* t (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))))

rewrite523.0ms

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))
31.0ms
(* 3.0 (* v v))
382.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* (- (pow 1.0 3) (pow v 6)) (* t (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))))))
86.0ms
(* t (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))))

series908.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* 3.0 (* v v))
54.0ms
(* 3.0 (* v v))
533.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* (- (pow 1.0 3) (pow v 6)) (* t (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))))))
274.0ms
(* t (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))))

simplify1.6s

Counts
130 → 130
Iterations

Useful iterations: 2 (592.0ms)

IterNodesCost
02633694
17123411
228722989
done50002989

prune1.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.3b
(/ 1 (* (- (pow 1.0 3) (pow v 6)) (* t (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))))))
0.4b
(* (/ (- 1.0 (* 5.0 (* v v))) PI) (/ 1 (* (- (pow 1.0 3) (pow v 6)) (* t (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3))))))))
0.5b
(* t (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))))

rewrite2.3s

Algorithm
rewrite-expression-head
Rules
106×add-exp-log
52×add-cbrt-cube
51×prod-exp
33×associate-*r/
28×div-exp
26×add-sqr-sqrt
21×cbrt-unprod
20×associate-*r*
19×pow1 associate-*l*
18×add-cube-cbrt *-un-lft-identity
16×times-frac associate-/r/
14×sqrt-div
13×cbrt-undiv flip3-- flip--
9×frac-times rec-exp 1-exp
8×pow-prod-down
5×associate-*l/
4×add-log-exp unswap-sqr
3×pow-flip *-commutative div-inv associate-/l*
1×frac-2neg clear-num associate-/r* sqrt-prod un-div-inv inv-pow
Counts
4 → 152
Calls
4 calls:
36.0ms
(* 3.0 (* v v))
629.0ms
(/ 1 (* (- (pow 1.0 3) (pow v 6)) (* t (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))))))
1.6s
(* (/ (- 1.0 (* 5.0 (* v v))) PI) (/ 1 (* (- (pow 1.0 3) (pow v 6)) (* t (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3))))))))
83.0ms
(* t (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))))

series1.2s

Counts
4 → 12
Calls
4 calls:
27.0ms
(* 3.0 (* v v))
314.0ms
(/ 1 (* (- (pow 1.0 3) (pow v 6)) (* t (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))))))
546.0ms
(* (/ (- 1.0 (* 5.0 (* v v))) PI) (/ 1 (* (- (pow 1.0 3) (pow v 6)) (* t (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3))))))))
271.0ms
(* t (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))))

simplify2.0s

Counts
164 → 164
Iterations

Useful iterations: 2 (732.0ms)

IterNodesCost
02965420
17984847
232254105
done50004105

prune1.3s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes333.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify11.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03677
14977
done4977

end0.0ms

sample3.2s

Algorithm
intervals
Results
1.6s8002×body80valid
972.0ms7822×body80nan