Details

Time bar (total: 11.0s)

sample42.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
11.0ms251×body80nan

simplify74.0ms

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: 0.4b

localize16.0ms

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))))
0.4b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite185.0ms

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
(* 5.0 (* v v))
7.0ms
(* PI t)
121.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
38.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series837.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* 5.0 (* v v))
20.0ms
(* PI t)
597.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
194.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify107.0ms

Counts
114 → 114
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
07751210
143561050
250011050
done50011050

prune356.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize34.0ms

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 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v))))))) (- (pow 1.0 3) (pow (* v v) 3))))
0.4b
(* (* PI t) (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v)))))))

rewrite236.0ms

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
(* 5.0 (* v v))
7.0ms
(* PI t)
158.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v))))))) (- (pow 1.0 3) (pow (* v v) 3))))
53.0ms
(* (* PI t) (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v)))))))

series614.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 5.0 (* v v))
21.0ms
(* PI t)
387.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v))))))) (- (pow 1.0 3) (pow (* v v) 3))))
181.0ms
(* (* PI t) (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v)))))))

simplify116.0ms

Counts
114 → 114
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
07131556
141821338
250021338
done50021338

prune557.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

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

rewrite510.0ms

Algorithm
rewrite-expression-head
Rules
52×add-exp-log add-cbrt-cube
17×cbrt-undiv div-exp prod-exp cbrt-unprod
16×add-sqr-sqrt times-frac
13×add-cube-cbrt *-un-lft-identity
11×pow1
10×associate-/l*
8×associate-*r/ associate-*l/ associate-/r/
7×flip3-- flip--
6×sqrt-div associate-*l*
4×expm1-log1p-u frac-times associate-*r* pow-prod-down log1p-expm1-u div-inv add-log-exp
3×div-sub associate-/l/
2×frac-2neg clear-num associate-/r* *-commutative unswap-sqr
Counts
4 → 122
Calls
4 calls:
17.0ms
(* 5.0 (* v v))
17.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* PI t))
7.0ms
(* PI t)
465.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) (* PI t)) (* (* (sqrt (* 2.0 (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (* (* 3.0 (* v v)) (* 3.0 (* v v))) (* (* 3.0 (* v v)) (* 3.0 (* v v))))))) (fma (* 1.0 1.0) 1.0 (pow v 6))) (- (pow 1.0 3) (pow (* v v) 3))))

series565.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(* 5.0 (* v v))
87.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* PI t))
20.0ms
(* PI t)
424.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) (* PI t)) (* (* (sqrt (* 2.0 (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (* (* 3.0 (* v v)) (* 3.0 (* v v))) (* (* 3.0 (* v v)) (* 3.0 (* v v))))))) (fma (* 1.0 1.0) 1.0 (pow v 6))) (- (pow 1.0 3) (pow (* v v) 3))))

simplify118.0ms

Counts
134 → 134
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
08312827
144822285
250012285
done50012285

prune876.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 3.0 (* v v))
0.1b
(* 3.0 (* v v))
0.2b
(* 5.0 (* v v))
0.3b
(* (/ (/ 1 PI) (* (sqrt (* 2.0 (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (* (* 3.0 (* v v)) (* 3.0 (* v v))) (* (* 3.0 (* v v)) (* 3.0 (* v v))))))) (fma (* 1.0 1.0) 1.0 (pow v 6)))) (/ (/ (- 1.0 (* 5.0 (* v v))) t) (- (pow 1.0 3) (pow (* v v) 3))))

rewrite793.0ms

Algorithm
rewrite-expression-head
Rules
487×times-frac
396×add-sqr-sqrt
282×associate-*r*
208×difference-of-squares
202×*-un-lft-identity
176×add-cube-cbrt
142×add-exp-log
104×unpow-prod-down cube-prod sqr-pow
88×add-cbrt-cube
63×div-exp
48×prod-exp
33×cbrt-undiv
30×cbrt-unprod
28×associate-*l*
24×div-inv
21×pow1
13×difference-cubes distribute-lft-out--
10×pow-prod-down
6×rec-exp 1-exp unswap-sqr
4×expm1-log1p-u associate-/r/ *-commutative log1p-expm1-u add-log-exp
3×associate-*r/ associate-*l/
2×flip3-- sqrt-div flip--
1×frac-times
Counts
4 → 420
Calls
4 calls:
16.0ms
(* 3.0 (* v v))
17.0ms
(* 3.0 (* v v))
16.0ms
(* 5.0 (* v v))
713.0ms
(* (/ (/ 1 PI) (* (sqrt (* 2.0 (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (* (* 3.0 (* v v)) (* 3.0 (* v v))) (* (* 3.0 (* v v)) (* 3.0 (* v v))))))) (fma (* 1.0 1.0) 1.0 (pow v 6)))) (/ (/ (- 1.0 (* 5.0 (* v v))) t) (- (pow 1.0 3) (pow (* v v) 3))))

series514.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 3.0 (* v v))
33.0ms
(* 3.0 (* v v))
26.0ms
(* 5.0 (* v v))
429.0ms
(* (/ (/ 1 PI) (* (sqrt (* 2.0 (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (* (* 3.0 (* v v)) (* 3.0 (* v v))) (* (* 3.0 (* v v)) (* 3.0 (* v v))))))) (fma (* 1.0 1.0) 1.0 (pow v 6)))) (/ (/ (- 1.0 (* 5.0 (* v v))) t) (- (pow 1.0 3) (pow (* v v) 3))))

simplify147.0ms

Counts
432 → 432
Iterations

Useful iterations: 1 (42.0ms)

IterNodesCost
0230213494
1500212754
done500212754

prune2.8s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes303.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06261
16261
done6261

end0.0ms

sample1.1s

Algorithm
intervals
Results
396.0ms8000×body80valid
375.0ms8150×body80nan