Details

Time bar (total: 17.2s)

sample119.0ms

Algorithm
intervals
Results
56.0ms256×body80valid
41.0ms239×body80nan

simplify3.9s

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
26×associate-*l*
22×times-frac add-cbrt-cube add-exp-log
21×*-un-lft-identity
20×add-cube-cbrt
18×frac-times
17×sqrt-prod
16×sqrt-div
15×pow1
14×flip3-- flip--
12×associate-*r*
10×prod-exp associate-*r/ cbrt-unprod
9×associate-*l/
7×pow-prod-down unswap-sqr
3×*-commutative insert-posit16 add-log-exp
2×distribute-rgt-in cbrt-undiv sub-neg distribute-lft-in div-exp difference-of-squares
1×div-inv
Counts
3 → 117
Calls
3 calls:
50.0ms
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
25.0ms
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
16.0ms
(* 3 (* v v))

series479.0ms

Counts
3 → 9
Calls
3 calls:
256.0ms
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
183.0ms
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
40.0ms
(* 3 (* v v))

simplify1.7s

Counts
126 → 126
Iterations
IterNodes
done5001
22917
1760
0251

prune471.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
124×pow1
44×add-cbrt-cube add-exp-log
36×pow-prod-up
29×pow-prod-down
22×pow-sqr
21×prod-exp cbrt-unprod
18×add-sqr-sqrt pow-plus
13×pow2
12×associate-*r/
10×associate-*r* sqrt-prod
9×*-un-lft-identity add-cube-cbrt
8×sqrt-div associate-*l* associate-/l/
7×flip3-- flip--
6×cbrt-undiv div-exp unswap-sqr
4×frac-times insert-posit16 add-log-exp
3×*-commutative
2×sqrt-pow1 pow1/2 associate-*l/ associate-/r/
1×clear-num associate-/r* frac-2neg flip3-+ times-frac sqrt-unprod swap-sqr flip-+ div-inv associate-/l*
Counts
4 → 153
Calls
4 calls:
15.0ms
(* (sqrt 2) (sqrt (- 1 (* (* v v) 3))))
57.0ms
(/ (* (* (sqrt 2) (sqrt (- 1 (* (* v v) 3)))) (- 1 (* (* v v) (* v v)))) (* 4 (+ 1 (* v v))))
27.0ms
(* (* v v) (* v v))
15.0ms
(* (* v v) 3)

series631.0ms

Counts
4 → 12
Calls
4 calls:
146.0ms
(* (sqrt 2) (sqrt (- 1 (* (* v v) 3))))
396.0ms
(/ (* (* (sqrt 2) (sqrt (- 1 (* (* v v) 3)))) (- 1 (* (* v v) (* v v)))) (* 4 (+ 1 (* v v))))
53.0ms
(* (* v v) (* v v))
35.0ms
(* (* v v) 3)

simplify2.5s

Counts
165 → 165
Iterations
IterNodes
done5002
24191
1835
0253

prune518.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize84.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* v v) 3)
0.2b
(* (* v v) 3)
0.2b
(* (* v v) 3)
1.0b
(* (* (* (sqrt 2) (sqrt (- 1 (* (* v v) 3)))) (- 1 (* (* v v) (* v v)))) (* (* (sqrt 2) (sqrt (- 1 (* (* v v) 3)))) (- 1 (* (* v v) (* v v)))))

rewrite334.0ms

Algorithm
rewrite-expression-head
Rules
152×associate-*r/
136×frac-times
133×pow1
108×flip3-- sqrt-div flip--
75×pow-prod-down
55×add-cbrt-cube add-exp-log
44×associate-*l/
36×prod-exp cbrt-unprod
10×add-sqr-sqrt associate-*r*
9×pow-sqr pow-prod-up
8×distribute-rgt-in distribute-lft-in
7×*-un-lft-identity add-cube-cbrt
4×sub-neg associate-*l* *-commutative insert-posit16 add-log-exp
3×pow-plus unswap-sqr
1×pow2 swap-sqr
Counts
4 → 209
Calls
4 calls:
14.0ms
(* (* v v) 3)
14.0ms
(* (* v v) 3)
20.0ms
(* (* v v) 3)
271.0ms
(* (* (* (sqrt 2) (sqrt (- 1 (* (* v v) 3)))) (- 1 (* (* v v) (* v v)))) (* (* (sqrt 2) (sqrt (- 1 (* (* v v) 3)))) (- 1 (* (* v v) (* v v)))))

series280.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (* v v) 3)
41.0ms
(* (* v v) 3)
50.0ms
(* (* v v) 3)
161.0ms
(* (* (* (sqrt 2) (sqrt (- 1 (* (* v v) 3)))) (- 1 (* (* v v) (* v v)))) (* (* (sqrt 2) (sqrt (- 1 (* (* v v) 3)))) (- 1 (* (* v v) (* v v)))))

simplify1.7s

Counts
221 → 221
Iterations
IterNodes
done5001
11091
0305

prune1.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes58.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify12.0ms

Iterations
IterNodes
done31
131
022

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.6s8125×body80nan
1.1s8000×body80valid