Details

Time bar (total: 12.7s)

sample30.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
8.0ms228×body80nan

simplify1.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01419
12719
27019
318019
435619
565719
693519
7105219
8113319
done113319

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (* 3.0 (* v v)))
0.0b
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
0.0b
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.2b
(* 3.0 (* v v))

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
26×associate-*l*
23×add-exp-log add-cbrt-cube
22×times-frac
21×add-cube-cbrt *-un-lft-identity
18×frac-times
17×sqrt-prod
16×pow1 sqrt-div
15×flip3-- flip--
11×associate-*r*
10×associate-*r/ prod-exp cbrt-unprod
9×associate-*l/
7×pow-prod-down unswap-sqr
6×add-log-exp
3×sub-neg *-commutative
2×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp
1×diff-log div-inv difference-of-squares
Counts
4 → 125
Calls
4 calls:
6.0ms
(- 1.0 (* 3.0 (* v v)))
63.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
31.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
20.0ms
(* 3.0 (* v v))

series550.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(- 1.0 (* 3.0 (* v v)))
284.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
184.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
28.0ms
(* 3.0 (* v v))

simplify1.2s

Counts
137 → 137
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02672992
17562747
228132559
done50012549

prune344.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt 4.0)) (* (/ (cbrt (sqrt 2.0)) (sqrt 4.0)) (sqrt (- 1.0 (* 3.0 (* v v))))))
0.0b
(* (/ (cbrt (sqrt 2.0)) (sqrt 4.0)) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.0b
(* (* (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt 4.0)) (* (/ (cbrt (sqrt 2.0)) (sqrt 4.0)) (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))
0.2b
(* 3.0 (* v v))

rewrite457.0ms

Algorithm
rewrite-expression-head
Rules
97×add-exp-log
90×add-sqr-sqrt
78×add-cbrt-cube
72×times-frac associate-*l*
68×sqrt-prod
60×frac-times
51×prod-exp cbrt-unprod
48×add-cube-cbrt *-un-lft-identity
44×cbrt-prod
40×associate-*r/
36×sqrt-div
30×flip3-- flip--
25×pow1
24×associate-*l/
19×cbrt-undiv div-exp
15×unswap-sqr
13×pow-prod-down
12×associate-*r*
4×*-commutative add-log-exp
2×distribute-rgt-in sub-neg distribute-lft-in div-inv
1×difference-of-squares
Counts
4 → 240
Calls
4 calls:
86.0ms
(* (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt 4.0)) (* (/ (cbrt (sqrt 2.0)) (sqrt 4.0)) (sqrt (- 1.0 (* 3.0 (* v v))))))
46.0ms
(* (/ (cbrt (sqrt 2.0)) (sqrt 4.0)) (sqrt (- 1.0 (* 3.0 (* v v)))))
295.0ms
(* (* (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt 4.0)) (* (/ (cbrt (sqrt 2.0)) (sqrt 4.0)) (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))
16.0ms
(* 3.0 (* v v))

series1.1s

Counts
4 → 12
Calls
4 calls:
249.0ms
(* (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt 4.0)) (* (/ (cbrt (sqrt 2.0)) (sqrt 4.0)) (sqrt (- 1.0 (* 3.0 (* v v))))))
383.0ms
(* (/ (cbrt (sqrt 2.0)) (sqrt 4.0)) (sqrt (- 1.0 (* 3.0 (* v v)))))
396.0ms
(* (* (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt 4.0)) (* (/ (cbrt (sqrt 2.0)) (sqrt 4.0)) (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))
25.0ms
(* 3.0 (* v v))

simplify651.0ms

Counts
252 → 252
Iterations

Useful iterations: done (641.0ms)

IterNodesCost
04208477
113167682
done50006239

prune819.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
24×pow1 add-exp-log add-cbrt-cube
12×add-sqr-sqrt associate-*l* pow-prod-down prod-exp cbrt-unprod
8×add-cube-cbrt *-un-lft-identity
4×associate-*r* *-commutative add-log-exp unswap-sqr
Counts
4 → 76
Calls
4 calls:
16.0ms
(* 3.0 (* v v))
17.0ms
(* 3.0 (* v v))
16.0ms
(* 3.0 (* v v))
20.0ms
(* 3.0 (* v v))

series112.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* 3.0 (* v v))
26.0ms
(* 3.0 (* v v))
25.0ms
(* 3.0 (* v v))
29.0ms
(* 3.0 (* v v))

simplify2.4s

Counts
88 → 88
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
034648
178636
2209516
3468516
4677516
51860516
done5001516

prune255.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- 1.0 (* v v)) (pow (cbrt (sqrt 2.0)) 3))
0.0b
(sqrt (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))))
0.1b
(* (* 3.0 3.0) (pow v 4))
0.2b
(* 3.0 (* v v))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
32×associate-*r*
27×add-exp-log
16×cbrt-prod add-cube-cbrt unpow-prod-down *-un-lft-identity add-cbrt-cube
15×prod-exp
12×cube-prod unswap-sqr
11×sqrt-prod
10×pow1
8×associate-*l*
7×cbrt-unprod
4×add-log-exp sqr-pow
3×pow-to-exp pow-prod-down pow-exp *-commutative
2×flip3-- sqrt-div associate-*l/ flip--
1×cube-mult rem-sqrt-square sqrt-pow1 pow1/2 unpow3 difference-of-squares
Counts
4 → 111
Calls
4 calls:
35.0ms
(* (- 1.0 (* v v)) (pow (cbrt (sqrt 2.0)) 3))
13.0ms
(sqrt (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))))
23.0ms
(* (* 3.0 3.0) (pow v 4))
16.0ms
(* 3.0 (* v v))

series313.0ms

Counts
4 → 12
Calls
4 calls:
100.0ms
(* (- 1.0 (* v v)) (pow (cbrt (sqrt 2.0)) 3))
143.0ms
(sqrt (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))))
37.0ms
(* (* 3.0 3.0) (pow v 4))
32.0ms
(* 3.0 (* v v))

simplify959.0ms

Counts
123 → 123
Iterations

Useful iterations: done (955.0ms)

IterNodesCost
02251667
15331373
218931258
done50011245

prune446.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes32.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
02448
13048
done3048

end0.0ms

sample811.0ms

Algorithm
intervals
Results
290.0ms8000×body80valid
286.0ms7874×body80nan