Details

Time bar (total: 25.3s)

sample59.0ms

Algorithm
intervals
Results
25.0ms256×body80valid
15.0ms251×body80nan

simplify5.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
014365
127365
270365
3193365
4432365
5856365
61282365
71645365
81842365
91870365
101906365
done1906365

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

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))

rewrite184.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
26×associate-*l*
24×*-un-lft-identity 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--
11×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 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:
99.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
11.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
49.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
14.0ms
(* 3.0 (* v v))

series945.0ms

Counts
4 → 12
Calls
4 calls:
500.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
124.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
285.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
35.0ms
(* 3.0 (* v v))

simplify1.4s

Counts
154 → 154
Iterations

Useful iterations: done (1.3s)

IterNodesCost
030173723
191863923
done500062758

prune904.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize92.0ms

Local error

Found 4 expressions with local error:

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

rewrite230.0ms

Algorithm
rewrite-expression-head
Rules
58×pow1
55×add-cbrt-cube add-exp-log
49×frac-times
48×sqrt-div
30×prod-exp cbrt-unprod
29×associate-*r/
26×pow-prod-down
24×flip3-- flip--
17×associate-*l/
10×add-sqr-sqrt associate-*l*
7×*-un-lft-identity add-cube-cbrt
6×cbrt-undiv div-exp
4×expm1-log1p-u associate-*r* pow-sqr *-commutative pow-prod-up log1p-expm1-u add-log-exp
3×unswap-sqr
2×pow-plus
1×pow2 swap-sqr
Counts
4 → 144
Calls
4 calls:
14.0ms
(* 3.0 (* v v))
27.0ms
(* 3.0 (* v v))
26.0ms
(* 3.0 (* v v))
157.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))))

series427.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* 3.0 (* v v))
28.0ms
(* 3.0 (* v v))
32.0ms
(* 3.0 (* v v))
340.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))))

simplify2.9s

Counts
156 → 156
Iterations

Useful iterations: done (2.8s)

IterNodesCost
018263461
155948845
2264945005
done500142165

prune900.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize38.0ms

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)))))

rewrite585.0ms

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×*-un-lft-identity add-cube-cbrt
22×times-frac
21×add-cbrt-cube add-exp-log sqrt-prod
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×pow2 cbrt-undiv rem-square-sqrt pow-plus sqrt-unprod div-exp div-inv
Counts
4 → 487
Calls
4 calls:
36.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
18.0ms
(* 3.0 (* v v))
24.0ms
(* 3.0 (* v v))
424.0ms
(* (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)))))

series877.0ms

Counts
4 → 12
Calls
4 calls:
259.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
37.0ms
(* 3.0 (* v v))
33.0ms
(* 3.0 (* v v))
547.0ms
(* (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)))))

simplify3.8s

Counts
499 → 499
Iterations

Useful iterations: done (3.5s)

IterNodesCost
0940583859
11578462779
done5000460858

prune4.6s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes99.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
017525
121525
done21525

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.2s8164×body80nan
628.0ms8000×body80valid