Details

Time bar (total: 12.3s)

sample65.0ms

Algorithm
intervals
Results
21.0ms270×body80nan
20.0ms256×body80valid

simplify2.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01419
12719
27019
318019
435619
565719
693519
7105219
8113319
done113319

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite199.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
26×associate-*l*
23×add-exp-log add-cbrt-cube
22×add-cube-cbrt *-un-lft-identity times-frac
20×sqrt-prod
18×frac-times sqrt-div
17×pow1
15×flip3-- flip--
11×associate-*r*
10×associate-*r/ prod-exp cbrt-unprod
associate-*l/
pow-prod-down unswap-sqr
add-log-exp
*-commutative
cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp
rem-sqrt-square sqrt-pow1 pow1/2 div-inv difference-of-squares
Counts
4 → 128
Calls
4 calls:
107.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
6.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
50.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
22.0ms
(* 3.0 (* v v))

series901.0ms

Counts
4 → 12
Calls
4 calls:
465.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
119.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
283.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
33.0ms
(* 3.0 (* v v))

simplify1.8s

Counts
140 → 140
Iterations

Useful iterations: done (1.8s)

IterNodesCost
02783102
17962836
229622648
done50022638

prune531.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite441.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt associate-*l*
28×add-exp-log add-cbrt-cube
23×add-cube-cbrt *-un-lft-identity
21×pow1
18×times-frac
17×sqrt-prod
13×prod-exp cbrt-unprod
12×associate-*r*
10×pow-prod-down
associate-*r/
cbrt-div sqrt-div
unswap-sqr
cbrt-prod *-commutative add-log-exp
flip3-- flip--
cbrt-undiv frac-times div-exp
associate-*l/ div-inv
Counts
4 → 112
Calls
4 calls:
29.0ms
(* (fabs (cbrt (- 1.0 (* 3.0 (* v v))))) (sqrt (cbrt (- 1.0 (* 3.0 (* v v))))))
375.0ms
(* (/ (sqrt 2.0) 4.0) (* (fabs (cbrt (- 1.0 (* 3.0 (* v v))))) (sqrt (cbrt (- 1.0 (* 3.0 (* v v)))))))
17.0ms
(* 3.0 (* v v))
17.0ms
(* 3.0 (* v v))

series982.0ms

Counts
4 → 12
Calls
4 calls:
400.0ms
(* (fabs (cbrt (- 1.0 (* 3.0 (* v v))))) (sqrt (cbrt (- 1.0 (* 3.0 (* v v))))))
490.0ms
(* (/ (sqrt 2.0) 4.0) (* (fabs (cbrt (- 1.0 (* 3.0 (* v v))))) (sqrt (cbrt (- 1.0 (* 3.0 (* v v)))))))
45.0ms
(* 3.0 (* v v))
46.0ms
(* 3.0 (* v v))

simplify1.7s

Counts
124 → 124
Iterations

Useful iterations: 2 (606.0ms)

IterNodesCost
02893177
17422972
228402699
done50002699

prune707.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes65.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01730
12130
done2130

end0.0ms

sample2.1s

Algorithm
intervals
Results
906.0ms8000×body80valid
730.0ms7862×body80nan