Details

Time bar (total: 13.3s)

sample51.0ms

Algorithm
intervals
Results
15.0ms256×body80valid
15.0ms250×body80nan

simplify2.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01419
12719
27019
318019
435619
565719
693519
7105219
8113319
done113319

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

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))

rewrite228.0ms

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
associate-*l/
pow-prod-down unswap-sqr
add-log-exp
sub-neg *-commutative
cbrt-undiv distribute-rgt-in distribute-lft-in div-exp
diff-log div-inv difference-of-squares
Counts
4 → 125
Calls
4 calls:
12.0ms
(- 1.0 (* 3.0 (* v v)))
117.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
54.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
34.0ms
(* 3.0 (* v v))

series904.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(- 1.0 (* 3.0 (* v v)))
498.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
267.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
43.0ms
(* 3.0 (* v v))

simplify1.7s

Counts
137 → 137
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02672992
17562747
228132559
done50012549

prune586.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite737.0ms

Algorithm
rewrite-expression-head
Rules
1048×sqrt-div
867×frac-times
434×flip3-- flip--
307×associate-*r/
306×associate-*l/
143×pow1
78×pow-prod-down
60×sqrt-pow1
45×add-sqr-sqrt
32×associate-*l*
25×add-cube-cbrt *-un-lft-identity
22×times-frac
21×add-exp-log sqrt-prod add-cbrt-cube
17×pow-prod-up
12×pow1/2 associate-*r*
11×pow-sqr
prod-exp cbrt-unprod unswap-sqr
swap-sqr *-commutative add-log-exp
cbrt-undiv pow2 pow-plus sqrt-unprod div-exp rem-square-sqrt div-inv
Counts
4 → 479
Calls
4 calls:
55.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
19.0ms
(* 3.0 (* v v))
27.0ms
(* 3.0 (* v v))
552.0ms
(* (sqrt (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))) (sqrt (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
248.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
344.0ms
(* 3.0 (* v v))
33.0ms
(* 3.0 (* v v))
475.0ms
(* (sqrt (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))) (sqrt (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))))

simplify2.1s

Counts
491 → 491
Iterations

Useful iterations: done (2.1s)

IterNodesCost
093633637
1144428225
2400627518
done500027425

prune2.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes61.0ms

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 (0.0ms)

IterNodesCost
01419
11719
done1719

end0.0ms

sample1.2s

Algorithm
intervals
Results
401.0ms8000×body80valid
401.0ms8080×body80nan