Details

Time bar (total: 12.5s)

sample38.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
11.0ms243×body80nan

simplify879.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01928
14428
216128
378328
4345128
done500028

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.3b
(* 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))))))

rewrite86.0ms

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:
7.0ms
(* 5.0 (* v v))
3.0ms
(* PI t)
58.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
15.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series822.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 5.0 (* v v))
19.0ms
(* PI t)
592.0ms
(/ (- 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))))))

simplify1.2s

Counts
106 → 106
Iterations

Useful iterations: 2 (286.0ms)

IterNodesCost
02502389
17582248
240131908
done50001908

prune339.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* 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))))))

rewrite154.0ms

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:
7.0ms
(* 5.0 (* v v))
104.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
28.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
11.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.1s

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 5.0 (* v v))
572.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
382.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
149.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify1.1s

Counts
108 → 108
Iterations

Useful iterations: 2 (280.0ms)

IterNodesCost
02582663
17802498
239252144
done50002144

prune348.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.3b
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* (* t (sqrt 2.0)) (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
0.3b
(* PI (* (* t (sqrt 2.0)) (sqrt (- 1.0 (* 3.0 (* v v))))))
0.4b
(* t (sqrt 2.0))

rewrite180.0ms

Algorithm
rewrite-expression-head
Rules
40×add-exp-log add-cbrt-cube
20×pow1 prod-exp cbrt-unprod
18×associate-*r/
16×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
10×pow-prod-down
9×associate-*l*
8×flip3-- sqrt-div associate-*r* associate-/r/ flip--
5×cbrt-undiv div-exp
4×frac-times sqrt-prod add-log-exp
3×times-frac *-commutative associate-/l* unswap-sqr
2×associate-*l/ associate-/l/
1×frac-2neg div-sub clear-num associate-/r* div-inv
Counts
4 → 102
Calls
4 calls:
7.0ms
(* 5.0 (* v v))
129.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* (* t (sqrt 2.0)) (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
35.0ms
(* PI (* (* t (sqrt 2.0)) (sqrt (- 1.0 (* 3.0 (* v v))))))
5.0ms
(* t (sqrt 2.0))

series806.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* 5.0 (* v v))
556.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* (* t (sqrt 2.0)) (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
181.0ms
(* PI (* (* t (sqrt 2.0)) (sqrt (- 1.0 (* 3.0 (* v v))))))
41.0ms
(* t (sqrt 2.0))

simplify1.2s

Counts
114 → 114
Iterations

Useful iterations: 2 (301.0ms)

IterNodesCost
02682707
18272506
242502106
done50002106

prune341.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.2b
(pow (* 3.0 (* v v)) 3)
0.4b
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* (- (* 1.0 1.0) (pow v 4)) (* (* t (sqrt 2.0)) (sqrt (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3))))))
0.4b
(* t (sqrt 2.0))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log add-cbrt-cube
31×times-frac
28×add-sqr-sqrt
23×add-cube-cbrt *-un-lft-identity
19×prod-exp cbrt-unprod
17×pow1
13×associate-/l*
12×cbrt-undiv div-exp
8×associate-*r/ associate-/r/
7×associate-*r* pow-prod-down
6×flip3-- sqrt-div associate-*l* flip--
4×frac-times sqrt-prod add-log-exp
3×pow-unpow pow-pow pow-exp div-inv rem-cube-cbrt unswap-sqr
2×div-sub associate-*l/ *-commutative
1×cube-mult pow-to-exp unpow-prod-down frac-2neg unpow3 cube-prod clear-num associate-/r* associate-/l/ sqr-pow
Counts
4 → 129
Calls
4 calls:
7.0ms
(* 5.0 (* v v))
6.0ms
(pow (* 3.0 (* v v)) 3)
75.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* (- (* 1.0 1.0) (pow v 4)) (* (* t (sqrt 2.0)) (sqrt (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3))))))
5.0ms
(* t (sqrt 2.0))

series484.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* 5.0 (* v v))
49.0ms
(pow (* 3.0 (* v v)) 3)
368.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* (- (* 1.0 1.0) (pow v 4)) (* (* t (sqrt 2.0)) (sqrt (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3))))))
42.0ms
(* t (sqrt 2.0))

simplify1.2s

Counts
141 → 141
Iterations

Useful iterations: 2 (309.0ms)

IterNodesCost
03073818
18813514
241472976
done50002976

prune650.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes236.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03466
14566
done4566

end0.0ms

sample1.0s

Algorithm
intervals
Results
385.0ms8001×body80valid
354.0ms7978×body80nan