Details

Time bar (total: 24.8s)

sample71.0ms

Algorithm
intervals
Results
23.0ms256×body80valid
23.0ms251×body80nan

simplify3.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
014365
127365
270365
3181365
4385365
5757365
61135365
71415365
81565365
91567365
done1567365

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

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))

rewrite142.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
26×associate-*l*
23×add-cbrt-cube add-exp-log
22×*-un-lft-identity times-frac add-cube-cbrt
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
4×add-log-exp
3×*-commutative
2×distribute-rgt-in cbrt-undiv sub-neg distribute-lft-in div-exp
1×rem-sqrt-square sqrt-pow1 pow1/2 div-inv difference-of-squares
Counts
4 → 128
Calls
4 calls:
54.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
4.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
53.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
25.0ms
(* 3.0 (* v v))

series816.0ms

Counts
4 → 12
Calls
4 calls:
402.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
104.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
283.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
28.0ms
(* 3.0 (* v v))

simplify3.2s

Counts
140 → 140
Iterations

Useful iterations: 2 (1.5s)

IterNodesCost
027865931
184956806
2480255843
done500155843

prune748.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize68.0ms

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))))))

rewrite191.0ms

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×associate-*r* pow-sqr *-commutative pow-prod-up add-log-exp
3×unswap-sqr
2×pow-plus
1×pow2 swap-sqr
Counts
4 → 136
Calls
4 calls:
14.0ms
(* 3.0 (* v v))
13.0ms
(* 3.0 (* v v))
25.0ms
(* 3.0 (* v v))
133.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))))

series392.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* 3.0 (* v v))
32.0ms
(* 3.0 (* v v))
44.0ms
(* 3.0 (* v v))
270.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))))

simplify2.3s

Counts
148 → 148
Iterations

Useful iterations: done (2.3s)

IterNodesCost
017861679
155247623
2263943983
done500041143

prune837.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize44.0ms

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)))))

rewrite649.0ms

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×swap-sqr *-commutative add-log-exp
1×pow2 cbrt-undiv rem-square-sqrt pow-plus sqrt-unprod div-exp div-inv
Counts
4 → 479
Calls
4 calls:
35.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
26.0ms
(* 3.0 (* v v))
26.0ms
(* 3.0 (* v v))
460.0ms
(* (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)))))

series1.3s

Counts
4 → 12
Calls
4 calls:
245.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
46.0ms
(* 3.0 (* v v))
47.0ms
(* 3.0 (* v v))
960.0ms
(* (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)))))

simplify3.6s

Counts
491 → 491
Iterations

Useful iterations: done (3.3s)

IterNodesCost
0934581431
11557462316
done5001461635

prune5.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes97.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
017525
121525
done21525

end0.0ms

sample1.8s

Algorithm
intervals
Results
829.0ms8164×body80nan
684.0ms8000×body80valid