Details

Time bar (total: 8.5s)

sample42.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
9.0ms231×body80nan

simplify76.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04414
116514
284614
3397414
4500114
done500114

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.2b
(* 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))))))

rewrite180.0ms

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 expm1-log1p-u frac-times div-exp log1p-expm1-u 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 → 102
Calls
4 calls:
16.0ms
(* 3.0 (* v v))
6.0ms
(* PI t)
119.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
36.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series800.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 3.0 (* v v))
21.0ms
(* PI t)
567.0ms
(/ (- 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))))))

simplify108.0ms

Counts
114 → 114
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
07731205
143311050
250011050
done50011050

prune335.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize41.0ms

Local error

Found 4 expressions with local error:

4.8b
(/ (pow v 4) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
4.8b
(/ (pow v 4) (* t (* (sqrt 2.0) (* (pow (sqrt 1.0) 3) PI))))
6.4b
(/ (pow v 2) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
6.4b
(/ (* (pow v 2) (sqrt 1.0)) (* t (* (sqrt 2.0) PI)))

rewrite217.0ms

Algorithm
rewrite-expression-head
Rules
185×add-exp-log
93×prod-exp
67×add-cbrt-cube
54×div-exp
27×cbrt-unprod
23×times-frac associate-/l*
20×pow-to-exp pow-exp
18×cbrt-undiv unpow-prod-down
16×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×sqr-pow
4×pow1 expm1-log1p-u frac-2neg clear-num associate-/r* log1p-expm1-u div-inv add-log-exp
2×unpow2
Counts
4 → 170
Calls
4 calls:
58.0ms
(/ (pow v 4) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
63.0ms
(/ (pow v 4) (* t (* (sqrt 2.0) (* (pow (sqrt 1.0) 3) PI))))
60.0ms
(/ (pow v 2) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
28.0ms
(/ (* (pow v 2) (sqrt 1.0)) (* t (* (sqrt 2.0) PI)))

series911.0ms

Counts
4 → 12
Calls
4 calls:
212.0ms
(/ (pow v 4) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
331.0ms
(/ (pow v 4) (* t (* (sqrt 2.0) (* (pow (sqrt 1.0) 3) PI))))
208.0ms
(/ (pow v 2) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
160.0ms
(/ (* (pow v 2) (sqrt 1.0)) (* t (* (sqrt 2.0) PI)))

simplify129.0ms

Counts
182 → 182
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
08641719
148651494
250011494
done50011494

prune787.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(* PI t)
0.5b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
0.5b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
6.3b
(/ (* 5.0 (* v v)) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

rewrite208.0ms

Algorithm
rewrite-expression-head
Rules
70×add-exp-log add-cbrt-cube
37×prod-exp cbrt-unprod
22×associate-*r/
16×pow1
12×cbrt-undiv div-exp
11×associate-*r*
10×add-sqr-sqrt sqrt-div
8×add-cube-cbrt flip3-- *-un-lft-identity associate-/r/ flip--
7×pow-prod-down
5×associate-*l*
4×expm1-log1p-u frac-times log1p-expm1-u add-log-exp
3×*-commutative
2×associate-*l/ sqrt-prod
1×frac-2neg times-frac clear-num associate-/r* div-inv associate-/l* unswap-sqr
Counts
4 → 113
Calls
4 calls:
7.0ms
(* PI t)
35.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
34.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
127.0ms
(/ (* 5.0 (* v v)) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

series997.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* PI t)
197.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
196.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
584.0ms
(/ (* 5.0 (* v v)) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

simplify37.0ms

Counts
125 → 125
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
08161565
150011266
done50011266

prune382.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

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))))))
0.5b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
6.3b
(/ (* 5.0 (* v v)) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

rewrite251.0ms

Algorithm
rewrite-expression-head
Rules
70×add-exp-log add-cbrt-cube
37×prod-exp cbrt-unprod
28×associate-*r/
16×pow1
12×cbrt-undiv sqrt-div div-exp
10×add-sqr-sqrt
9×flip3-- associate-*r* flip--
8×add-cube-cbrt *-un-lft-identity associate-/r/
7×associate-*l* pow-prod-down
4×expm1-log1p-u frac-times log1p-expm1-u add-log-exp
3×*-commutative
2×associate-*l/ sqrt-prod
1×frac-2neg times-frac clear-num associate-/r* div-inv associate-/l* unswap-sqr
Counts
4 → 115
Calls
4 calls:
62.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
24.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
34.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
125.0ms
(/ (* 5.0 (* v v)) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

series1.1s

Counts
4 → 12
Calls
4 calls:
198.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
151.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
192.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
583.0ms
(/ (* 5.0 (* v v)) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

simplify39.0ms

Counts
127 → 127
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
09071716
150011411
done50011411

prune403.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.1b

regimes268.0ms

Accuracy

0% (0.4b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05148
15148
done5148

end0.0ms

sample1.1s

Algorithm
intervals
Results
361.0ms8001×body80valid
341.0ms8156×body80nan