Details

Time bar (total: 4.5s)

sample34.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
9.0ms258×body80nan

simplify61.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02710
17210
218210
337010
471310
5106610
6120110
7130810
8130810
done130810

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 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 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.2b
(* 3.0 (* v v))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
26×associate-*l*
22×add-exp-log times-frac add-cbrt-cube
20×add-cube-cbrt *-un-lft-identity
18×frac-times
17×sqrt-prod
16×sqrt-div
15×pow1
14×flip3-- flip--
11×associate-*r*
10×associate-*r/ prod-exp cbrt-unprod
associate-*l/
pow-prod-down unswap-sqr
*-commutative add-log-exp
cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp
div-inv difference-of-squares
Counts
3 → 113
Calls
3 calls:
63.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
35.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
16.0ms
(* 3.0 (* v v))

series536.0ms

Counts
3 → 9
Calls
3 calls:
306.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
205.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
26.0ms
(* 3.0 (* v v))

simplify85.0ms

Counts
122 → 122
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
07601460
134221374
250011372
done50011372

prune316.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize21.0ms

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))
0.2b
(* 3.0 (* v v))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
24×pow1 add-exp-log add-cbrt-cube
12×add-sqr-sqrt associate-*l* pow-prod-down prod-exp cbrt-unprod
add-cube-cbrt *-un-lft-identity
associate-*r* *-commutative add-log-exp unswap-sqr
Counts
4 → 76
Calls
4 calls:
16.0ms
(* 3.0 (* v v))
16.0ms
(* 3.0 (* v v))
16.0ms
(* 3.0 (* v v))
19.0ms
(* 3.0 (* v v))

series113.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* 3.0 (* v v))
26.0ms
(* 3.0 (* v v))
26.0ms
(* 3.0 (* v v))
30.0ms
(* 3.0 (* v v))

simplify102.0ms

Counts
88 → 88
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
086300
1289240
2825240
32881240
45001240
done5001240

prune251.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.0b
(* (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (+ (sqrt 1.0) v)) (- (sqrt 1.0) v))
0.0b
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (+ (sqrt 1.0) v))
0.2b
(* 3.0 (* v v))

rewrite367.0ms

Algorithm
rewrite-expression-head
Rules
100×frac-times
52×sqrt-div
50×associate-*l/
44×flip3-- flip--
43×add-sqr-sqrt
37×add-exp-log add-cbrt-cube
36×associate-*r/
27×associate-*l*
26×*-un-lft-identity
25×pow1
24×flip3-+ flip-+
22×add-cube-cbrt times-frac
19×prod-exp cbrt-unprod
18×sqrt-prod
17×associate-*r*
13×pow-prod-down
unswap-sqr
*-commutative add-log-exp
cbrt-undiv distribute-rgt-in distribute-lft-in div-exp
sub-neg difference-of-squares
div-inv distribute-lft-out distribute-lft-out--
Counts
4 → 194
Calls
4 calls:
31.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
233.0ms
(* (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (+ (sqrt 1.0) v)) (- (sqrt 1.0) v))
71.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (+ (sqrt 1.0) v))
19.0ms
(* 3.0 (* v v))

series784.0ms

Counts
4 → 12
Calls
4 calls:
200.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
389.0ms
(* (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (+ (sqrt 1.0) v)) (- (sqrt 1.0) v))
164.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (+ (sqrt 1.0) v))
31.0ms
(* 3.0 (* v v))

simplify64.0ms

Counts
206 → 206
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
014253299
150013191
done50013191

prune733.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes30.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03125
13125
done3125

end0.0ms

sample825.0ms

Algorithm
intervals
Results
286.0ms8000×body80valid
283.0ms8062×body80nan