Details

Time bar (total: 25.2s)

sample98.0ms

Algorithm
intervals
Results
41.0ms271×body80nan
27.0ms256×body80valid

simplify3.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01928
14428
216328
381328
4359028
done500128

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.9b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 5.0 (* v v))
0.2b
(* PI t)
0.5b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
0.8b
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

rewrite263.0ms

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:
18.0ms
(* 5.0 (* v v))
7.0ms
(* PI t)
53.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
180.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

series1.3s

Counts
4 → 12
Calls
4 calls:
50.0ms
(* 5.0 (* v v))
29.0ms
(* PI t)
303.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
930.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

simplify1.9s

Counts
106 → 106
Iterations

Useful iterations: 2 (734.0ms)

IterNodesCost
02502389
17312232
235651908
done50001908

prune546.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.7b

localize36.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 3.0 (* v v))
0.1b
(* 5.0 (* v v))
0.2b
(* t (* (sqrt 2.0) PI))
0.8b
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* t (* (sqrt 2.0) PI)) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))

rewrite560.0ms

Algorithm
rewrite-expression-head
Rules
39×add-exp-log add-cbrt-cube
19×pow1 prod-exp cbrt-unprod
11×add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down
8×associate-*r/ associate-/r/
7×flip3-- flip--
6×sqrt-div
5×cbrt-undiv div-exp
4×frac-times add-log-exp
3×times-frac associate-*r* *-commutative associate-/l*
2×associate-*l/ associate-/l/ unswap-sqr
1×frac-2neg div-sub clear-num associate-/r* div-inv
Counts
4 → 94
Calls
4 calls:
18.0ms
(* 3.0 (* v v))
28.0ms
(* 5.0 (* v v))
43.0ms
(* t (* (sqrt 2.0) PI))
467.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* t (* (sqrt 2.0) PI)) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))

series903.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* 3.0 (* v v))
30.0ms
(* 5.0 (* v v))
78.0ms
(* t (* (sqrt 2.0) PI))
760.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* t (* (sqrt 2.0) PI)) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))

simplify1.9s

Counts
106 → 106
Iterations

Useful iterations: 2 (731.0ms)

IterNodesCost
02542333
17542157
236941815
done50001815

prune380.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.6b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 5.0 (pow v 2))
0.2b
(* PI t)
0.5b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
0.8b
(/ (- (pow 1.0 3) (pow (* 5.0 (* v v)) 3)) (* (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))) (+ (* 1.0 1.0) (* (* 5.0 (pow v 2)) (+ 1.0 (* 5.0 (* v v)))))))

rewrite809.0ms

Algorithm
rewrite-expression-head
Rules
48×associate-*r/
40×add-sqr-sqrt
36×add-exp-log
33×add-cbrt-cube
28×frac-times
26×associate-/r/
20×flip3-- sqrt-div flip--
17×prod-exp
16×*-un-lft-identity difference-of-squares
15×associate-*r* cbrt-unprod
14×associate-*l/ sqr-pow
13×times-frac associate-/l*
12×add-cube-cbrt
11×pow1
9×flip3-+ flip-+
8×unpow-prod-down
7×associate-*l*
5×cbrt-undiv div-exp unswap-sqr
4×cube-prod pow-prod-down add-log-exp
3×*-commutative
2×difference-cubes associate-/l/ distribute-lft-out-- unpow2
1×pow-to-exp frac-2neg div-sub pow-exp clear-num associate-/r* sqrt-prod div-inv
Counts
4 → 142
Calls
4 calls:
26.0ms
(* 5.0 (pow v 2))
8.0ms
(* PI t)
46.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
720.0ms
(/ (- (pow 1.0 3) (pow (* 5.0 (* v v)) 3)) (* (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))) (+ (* 1.0 1.0) (* (* 5.0 (pow v 2)) (+ 1.0 (* 5.0 (* v v)))))))

series1.2s

Counts
4 → 12
Calls
4 calls:
46.0ms
(* 5.0 (pow v 2))
22.0ms
(* PI t)
247.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
926.0ms
(/ (- (pow 1.0 3) (pow (* 5.0 (* v v)) 3)) (* (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))) (+ (* 1.0 1.0) (* (* 5.0 (pow v 2)) (+ 1.0 (* 5.0 (* v v)))))))

simplify1.2s

Counts
154 → 154
Iterations

Useful iterations: done (1.2s)

IterNodesCost
03856123
112695769
done50015150

prune1.3s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.6b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 5.0 (pow v 2))
0.3b
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
0.5b
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
0.8b
(/ (- (pow 1.0 3) (pow (* 5.0 (* v v)) 3)) (* (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))) (+ (* 1.0 1.0) (* (* 5.0 (pow v 2)) (+ 1.0 (* 5.0 (* v v)))))))

rewrite1.7s

Algorithm
rewrite-expression-head
Rules
72×associate-*r/
40×add-sqr-sqrt
36×add-exp-log
33×add-cbrt-cube
28×frac-times
26×associate-/r/
22×sqrt-div
21×flip3-- flip--
17×prod-exp
16×*-un-lft-identity difference-of-squares
15×cbrt-unprod
14×associate-*l/ sqr-pow
13×times-frac associate-*r* associate-/l*
12×add-cube-cbrt
11×pow1
9×flip3-+ associate-*l* flip-+
8×unpow-prod-down
5×cbrt-undiv div-exp unswap-sqr
4×cube-prod pow-prod-down add-log-exp
3×*-commutative
2×difference-cubes associate-/l/ distribute-lft-out-- unpow2
1×pow-to-exp frac-2neg div-sub pow-exp clear-num associate-/r* sqrt-prod div-inv
Counts
4 → 144
Calls
4 calls:
26.0ms
(* 5.0 (pow v 2))
139.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
48.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
1.5s
(/ (- (pow 1.0 3) (pow (* 5.0 (* v v)) 3)) (* (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))) (+ (* 1.0 1.0) (* (* 5.0 (pow v 2)) (+ 1.0 (* 5.0 (* v v)))))))

series1.6s

Counts
4 → 12
Calls
4 calls:
43.0ms
(* 5.0 (pow v 2))
327.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
221.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
1.0s
(/ (- (pow 1.0 3) (pow (* 5.0 (* v v)) 3)) (* (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))) (+ (* 1.0 1.0) (* (* 5.0 (pow v 2)) (+ 1.0 (* 5.0 (* v v)))))))

simplify916.0ms

Counts
156 → 156
Iterations

Useful iterations: done (905.0ms)

IterNodesCost
03936397
112926017
done50005386

prune1.3s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.6b

regimes560.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03050
14150
done4150

end0.0ms

sample3.3s

Algorithm
intervals
Results
1.8s8000×body80valid
1.0s8045×body80nan