Details

Time bar (total: 21.7s)

sample55.0ms

Algorithm
intervals
Results
18.0ms231×body80nan
18.0ms256×body80valid

simplify4.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01419
12719
27019
319219
440019
575319
6105819
7120219
8131219
9131819
done131819

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

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))

rewrite225.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
26×associate-*l*
24×add-cube-cbrt *-un-lft-identity
23×add-exp-log add-cbrt-cube
22×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
9×associate-*l/
7×pow-prod-down unswap-sqr
6×prod-diff
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×*-commutative
2×cbrt-undiv sub-neg div-exp
1×rem-sqrt-square sqrt-pow1 pow1/2 div-inv difference-of-squares
Counts
4 → 142
Calls
4 calls:
111.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
14.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
60.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
24.0ms
(* 3.0 (* v v))

series940.0ms

Counts
4 → 12
Calls
4 calls:
462.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
114.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
315.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
48.0ms
(* 3.0 (* v v))

simplify2.2s

Counts
154 → 154
Iterations

Useful iterations: done (2.2s)

IterNodesCost
03013466
18583174
231752946
done50002938

prune777.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite517.0ms

Algorithm
rewrite-expression-head
Rules
152×sqrt-div
84×frac-times
56×flip3-- flip--
52×add-sqr-sqrt
42×associate-*l/
33×add-exp-log add-cbrt-cube
30×sqrt-prod
29×associate-*l*
28×associate-*r/
25×pow1 add-cube-cbrt *-un-lft-identity
24×times-frac
17×prod-exp cbrt-unprod
15×associate-*r*
13×pow-prod-down
11×unswap-sqr
6×prod-diff
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
2×cbrt-undiv sub-neg div-exp
1×div-inv difference-of-squares
Counts
4 → 191
Calls
4 calls:
42.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (sqrt (- 1.0 (* 3.0 (* v v))))))
385.0ms
(* (* (* (/ (sqrt 2.0) 4.0) (sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))) (sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))
31.0ms
(* 3.0 (* v v))
34.0ms
(* 3.0 (* v v))

series978.0ms

Counts
4 → 12
Calls
4 calls:
495.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (sqrt (- 1.0 (* 3.0 (* v v))))))
410.0ms
(* (* (* (/ (sqrt 2.0) 4.0) (sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))) (sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))
27.0ms
(* 3.0 (* v v))
46.0ms
(* 3.0 (* v v))

simplify1.4s

Counts
203 → 203
Iterations

Useful iterations: done (1.4s)

IterNodesCost
04347112
113485724
done50005163

prune949.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize26.0ms

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)))))

rewrite811.0ms

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
9×prod-exp cbrt-unprod unswap-sqr
4×expm1-log1p-u swap-sqr *-commutative log1p-expm1-u add-log-exp
1×cbrt-undiv pow2 pow-plus sqrt-unprod div-exp rem-square-sqrt div-inv
Counts
4 → 487
Calls
4 calls:
66.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
23.0ms
(* 3.0 (* v v))
17.0ms
(* 3.0 (* v v))
583.0ms
(* (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)))))

series842.0ms

Counts
4 → 12
Calls
4 calls:
277.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
34.0ms
(* 3.0 (* v v))
34.0ms
(* 3.0 (* v v))
497.0ms
(* (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)))))

simplify2.5s

Counts
499 → 499
Iterations

Useful iterations: done (2.5s)

IterNodesCost
094233773
1146527908
2412726407
done500026256

prune3.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes44.0ms

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
01630
12030
done2030

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.4s8000×body80valid
611.0ms7982×body80nan