Details

Time bar (total: 24.6s)

sample99.0ms

Algorithm
intervals
Results
42.0ms256×body80valid
38.0ms231×body80nan

simplify4.1s

Counts
1 → 1
Iterations
IterNodes
done5002
64562
51910
4775
3235
273
129
014

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

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))

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
26×associate-*l*
25×*-un-lft-identity
24×add-cube-cbrt
23×add-cbrt-cube add-exp-log
22×times-frac
20×sqrt-prod
18×frac-times sqrt-div
17×pow1
15×flip3-- flip--
12×associate-*r*
10×prod-exp associate-*r/ 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 insert-posit16 log1p-expm1-u add-log-exp
3×*-commutative
2×cbrt-undiv sub-neg div-exp difference-of-squares
1×rem-sqrt-square sqrt-pow1 pow1/2 div-inv
Counts
4 → 147
Calls
4 calls:
57.0ms
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
10.0ms
(sqrt (- 1 (* 3 (* v v))))
38.0ms
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
29.0ms
(* 3 (* v v))

series674.0ms

Counts
4 → 12
Calls
4 calls:
346.0ms
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
81.0ms
(sqrt (- 1 (* 3 (* v v))))
201.0ms
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
46.0ms
(* 3 (* v v))

simplify2.2s

Counts
159 → 159
Iterations
IterNodes
done5009
23350
1873
0294

prune736.0ms

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) 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))

rewrite201.0ms

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*
9×pow-prod-up
7×associate-*l/
5×pow-sqr
4×expm1-log1p-u *-commutative insert-posit16 log1p-expm1-u add-log-exp
2×cbrt-undiv div-exp
1×pow2 rem-square-sqrt pow-plus sqrt-unprod div-inv
Counts
4 → 194
Calls
4 calls:
107.0ms
(* (/ (sqrt 2) 4) (* (sqrt (sqrt (- 1 (* 3 (* v v))))) (sqrt (sqrt (- 1 (* 3 (* v v)))))))
43.0ms
(* (sqrt (sqrt (- 1 (* 3 (* v v))))) (sqrt (sqrt (- 1 (* 3 (* v v))))))
19.0ms
(* 3 (* v v))
26.0ms
(* 3 (* v v))

series402.0ms

Counts
4 → 12
Calls
4 calls:
249.0ms
(* (/ (sqrt 2) 4) (* (sqrt (sqrt (- 1 (* 3 (* v v))))) (sqrt (sqrt (- 1 (* 3 (* v v)))))))
79.0ms
(* (sqrt (sqrt (- 1 (* 3 (* v v))))) (sqrt (sqrt (- 1 (* 3 (* v v))))))
36.0ms
(* 3 (* v v))
37.0ms
(* 3 (* v v))

simplify2.2s

Counts
206 → 206
Iterations
IterNodes
done5001
21977
1698
0275

prune1.0s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (sqrt (fma (* v v) -3 1)) (sqrt 2))
0.0b
(cbrt (* (/ (* (sqrt (fma (* v v) -3 1)) (sqrt 2)) 4) (* (/ (* (sqrt (fma (* v v) -3 1)) (sqrt 2)) 4) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v))) (/ (* (sqrt (fma (* v v) -3 1)) (sqrt 2)) 4)))))
0.0b
(* (- 1 (* v v)) (- 1 (* v v)))
1.0b
(* (/ (* (sqrt (fma (* v v) -3 1)) (sqrt 2)) 4) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v))) (/ (* (sqrt (fma (* v v) -3 1)) (sqrt 2)) 4)))

rewrite2.4s

Algorithm
rewrite-expression-head
Rules
762×frac-times
370×associate-*r/
330×flip3-- associate-*l/ flip--
215×cbrt-div
179×add-cbrt-cube add-exp-log
105×prod-exp cbrt-unprod
38×cbrt-undiv div-exp
30×add-sqr-sqrt
29×pow1
20×*-un-lft-identity
18×associate-*l*
16×add-cube-cbrt
14×pow-prod-down
12×associate-*r*
10×sqrt-prod
8×difference-of-squares
6×prod-diff
5×distribute-rgt-in distribute-lft-in swap-sqr unswap-sqr
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×times-frac *-commutative
2×sub-neg sqrt-pow1 pow1/2
1×cbrt-prod pow2 pow-plus pow1/3 sqrt-unprod pow-sqr pow-prod-up div-inv
Counts
4 → 502
Calls
4 calls:
18.0ms
(* (sqrt (fma (* v v) -3 1)) (sqrt 2))
1.7s
(cbrt (* (/ (* (sqrt (fma (* v v) -3 1)) (sqrt 2)) 4) (* (/ (* (sqrt (fma (* v v) -3 1)) (sqrt 2)) 4) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v))) (/ (* (sqrt (fma (* v v) -3 1)) (sqrt 2)) 4)))))
29.0ms
(* (- 1 (* v v)) (- 1 (* v v)))
601.0ms
(* (/ (* (sqrt (fma (* v v) -3 1)) (sqrt 2)) 4) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v))) (/ (* (sqrt (fma (* v v) -3 1)) (sqrt 2)) 4)))

series798.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(* (sqrt (fma (* v v) -3 1)) (sqrt 2))
338.0ms
(cbrt (* (/ (* (sqrt (fma (* v v) -3 1)) (sqrt 2)) 4) (* (/ (* (sqrt (fma (* v v) -3 1)) (sqrt 2)) 4) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v))) (/ (* (sqrt (fma (* v v) -3 1)) (sqrt 2)) 4)))))
32.0ms
(* (- 1 (* v v)) (- 1 (* v v)))
307.0ms
(* (/ (* (sqrt (fma (* v v) -3 1)) (sqrt 2)) 4) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v))) (/ (* (sqrt (fma (* v v) -3 1)) (sqrt 2)) 4)))

simplify3.5s

Counts
514 → 514
Iterations
IterNodes
done5001
13112
01113

prune2.8s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes75.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done21
121
016

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.6s7626×body80nan
1.3s8000×body80valid