Details

Time bar (total: 15.7s)

sample78.0ms

Algorithm
intervals
Results
34.0ms231×body80nan
28.0ms256×body80valid

simplify3.2s

Counts
1 → 1
Iterations
IterNodes
done5003
63640
51649
4728
3223
273
129
014

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
0.0b
(sqrt (- 1 (* 3 (* v v))))
0.0b
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
0.2b
(* 3 (* v v))

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
26×associate-*l*
23×*-un-lft-identity add-cbrt-cube add-exp-log
22×times-frac add-cube-cbrt
20×sqrt-prod
18×frac-times sqrt-div
17×pow1
15×flip3-- flip--
12×associate-*r*
10×prod-exp associate-*r/ cbrt-unprod
associate-*l/
pow-prod-down unswap-sqr
insert-posit16 add-log-exp
*-commutative
distribute-rgt-in cbrt-undiv sub-neg distribute-lft-in div-exp difference-of-squares
rem-sqrt-square sqrt-pow1 pow1/2 div-inv
Counts
4 → 133
Calls
4 calls:
61.0ms
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
8.0ms
(sqrt (- 1 (* 3 (* v v))))
23.0ms
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
19.0ms
(* 3 (* v v))

series663.0ms

Counts
4 → 12
Calls
4 calls:
283.0ms
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
85.0ms
(sqrt (- 1 (* 3 (* v v))))
244.0ms
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
51.0ms
(* 3 (* v v))

simplify1.9s

Counts
145 → 145
Iterations
IterNodes
done5003
23090
1804
0271

prune677.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ (sqrt 2) 4) (* (sqrt (sqrt (- 1 (* 3 (* v v))))) (sqrt (sqrt (- 1 (* 3 (* v v)))))))
0.0b
(* (sqrt (sqrt (- 1 (* 3 (* v v))))) (sqrt (sqrt (- 1 (* 3 (* v v))))))
0.2b
(* 3 (* v v))
0.2b
(* 3 (* v v))

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
76×sqrt-prod
72×sqrt-div
68×add-sqr-sqrt
42×pow1
37×associate-*l*
32×sqrt-pow1
31×*-un-lft-identity add-cube-cbrt
28×add-cbrt-cube add-exp-log
20×frac-times times-frac
18×flip3-- flip--
16×pow1/2
15×swap-sqr
14×pow-prod-down associate-*r/ unswap-sqr
13×prod-exp cbrt-unprod
12×associate-*r*
pow-prod-up
associate-*l/
pow-sqr
*-commutative insert-posit16 add-log-exp
cbrt-undiv div-exp
pow2 rem-square-sqrt pow-plus sqrt-unprod div-inv
Counts
4 → 186
Calls
4 calls:
68.0ms
(* (/ (sqrt 2) 4) (* (sqrt (sqrt (- 1 (* 3 (* v v))))) (sqrt (sqrt (- 1 (* 3 (* v v)))))))
26.0ms
(* (sqrt (sqrt (- 1 (* 3 (* v v))))) (sqrt (sqrt (- 1 (* 3 (* v v))))))
28.0ms
(* 3 (* v v))
13.0ms
(* 3 (* v v))

series357.0ms

Counts
4 → 12
Calls
4 calls:
221.0ms
(* (/ (sqrt 2) 4) (* (sqrt (sqrt (- 1 (* 3 (* v v))))) (sqrt (sqrt (- 1 (* 3 (* v v)))))))
61.0ms
(* (sqrt (sqrt (- 1 (* 3 (* v v))))) (sqrt (sqrt (- 1 (* 3 (* v v))))))
38.0ms
(* 3 (* v v))
38.0ms
(* 3 (* v v))

simplify1.7s

Counts
198 → 198
Iterations
IterNodes
done5001
22020
1683
0269

prune937.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 1 (* 3 (* v v))))
0.0b
(* (sqrt 2) (- 1 (* v v)))
0.0b
(* (* (sqrt 2) (- 1 (* v v))) (sqrt (- 1 (* 3 (* v v)))))
0.2b
(* 3 (* v v))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
17×pow1
16×add-cbrt-cube add-exp-log
12×*-un-lft-identity associate-*r*
11×add-cube-cbrt
10×associate-*l* associate-*r/ sqrt-prod
flip3-- sqrt-div flip--
pow-prod-down prod-exp cbrt-unprod
frac-times insert-posit16 add-log-exp
*-commutative unswap-sqr
distribute-rgt-in sub-neg distribute-lft-in associate-*l/ difference-of-squares
rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 97
Calls
4 calls:
5.0ms
(sqrt (- 1 (* 3 (* v v))))
14.0ms
(* (sqrt 2) (- 1 (* v v)))
55.0ms
(* (* (sqrt 2) (- 1 (* v v))) (sqrt (- 1 (* 3 (* v v)))))
22.0ms
(* 3 (* v v))

series551.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(sqrt (- 1 (* 3 (* v v))))
148.0ms
(* (sqrt 2) (- 1 (* v v)))
276.0ms
(* (* (sqrt 2) (- 1 (* v v))) (sqrt (- 1 (* 3 (* v v)))))
52.0ms
(* 3 (* v v))

simplify1.7s

Counts
109 → 109
Iterations
IterNodes
done5000
21813
1541
0195

prune538.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes50.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations
IterNodes
done21
121
016

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.4s8000×body80valid
1.2s7626×body80nan