Details

Time bar (total: 9.0s)

sample42.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
11.0ms264×body80nan

simplify72.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04414
116514
282614
3386714
4500214
done500214

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

rewrite179.0ms

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:
15.0ms
(* 3.0 (* v v))
115.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
6.0ms
(* PI t)
38.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series799.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 3.0 (* v v))
566.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
25.0ms
(* PI t)
182.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify113.0ms

Counts
106 → 106
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
07531153
142561002
250011002
done50011002

prune308.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite349.0ms

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:
16.0ms
(* 3.0 (* v v))
250.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3))))) (- (pow 1.0 3) (pow (* v v) 3))))
7.0ms
(* PI t)
73.0ms
(* (* PI t) (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))))

series640.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 3.0 (* v v))
368.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3))))) (- (pow 1.0 3) (pow (* v v) 3))))
20.0ms
(* PI t)
227.0ms
(* (* PI t) (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))))

simplify103.0ms

Counts
106 → 106
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
06891325
139291124
250031124
done50031124

prune563.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite815.0ms

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:
16.0ms
(* 3.0 (* v v))
577.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))))) (- (pow 1.0 3) (pow (* v v) 3))))
159.0ms
(* PI (* t (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3))))))
59.0ms
(* t (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))))

series959.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* 3.0 (* v v))
339.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))))) (- (pow 1.0 3) (pow (* v v) 3))))
407.0ms
(* PI (* t (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3))))))
185.0ms
(* t (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))))

simplify100.0ms

Counts
108 → 108
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
07011499
137931288
250011288
done50011288

prune572.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.2b
(* 3.0 (* v v))
0.4b
(* (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))) (* t (+ (pow 1.0 6) (- (pow (pow v 2) 6)))))
0.4b
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))) (* t (+ (pow 1.0 6) (- (pow (pow v 2) 6))))))

rewrite437.0ms

Algorithm
rewrite-expression-head
Rules
40×add-exp-log add-cbrt-cube
31×times-frac
28×associate-*r/
23×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
19×pow1
15×prod-exp cbrt-unprod
13×associate-/l*
12×sqrt-div
10×associate-*l*
9×cbrt-undiv div-exp pow-prod-down
8×frac-times associate-/r/
6×flip3-- flip3-+ flip-- flip-+
4×distribute-rgt-in distribute-lft-in associate-*l/ add-log-exp
3×associate-*r* *-commutative div-inv
2×div-sub unswap-sqr
1×frac-2neg clear-num associate-/r* sqrt-prod associate-/l/
Counts
4 → 128
Calls
4 calls:
16.0ms
(* 3.0 (* v v))
16.0ms
(* 3.0 (* v v))
196.0ms
(* (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))) (* t (+ (pow 1.0 6) (- (pow (pow v 2) 6)))))
203.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))) (* t (+ (pow 1.0 6) (- (pow (pow v 2) 6))))))

series577.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 3.0 (* v v))
28.0ms
(* 3.0 (* v v))
177.0ms
(* (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))) (* t (+ (pow 1.0 6) (- (pow (pow v 2) 6)))))
347.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))) (* t (+ (pow 1.0 6) (- (pow (pow v 2) 6))))))

simplify98.0ms

Counts
140 → 140
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
08412386
138122037
250022037
done50022037

prune894.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

regimes129.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05846
15846
done5846

end0.0ms

sample1.1s

Algorithm
intervals
Results
384.0ms8001×body80valid
362.0ms8212×body80nan