Details

Time bar (total: 9.7s)

sample29.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
9.0ms259×body80nan

simplify1.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01620
13220
28820
323320
445420
567420
685020
786220
done86220

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* 3.0 PI) (- 1.0 (* v v)))
0.0b
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
0.2b
(* 6.0 (* v v))
1.0b
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log add-cbrt-cube
23×pow1
18×associate-*r/ prod-exp cbrt-unprod
13×flip3-- flip--
12×add-sqr-sqrt sqrt-div pow-prod-down
11×associate-*r*
10×add-cube-cbrt *-un-lft-identity
8×frac-times associate-/r/
5×associate-*l*
4×cbrt-undiv div-exp associate-*l/ add-log-exp
3×times-frac sqrt-prod *-commutative associate-/l*
2×distribute-rgt-in sub-neg distribute-lft-in
1×frac-2neg clear-num associate-/r* div-inv difference-of-squares unswap-sqr
Counts
4 → 109
Calls
4 calls:
12.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
31.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
7.0ms
(* 6.0 (* v v))
28.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series853.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
306.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
23.0ms
(* 6.0 (* v v))
421.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify1.2s

Counts
121 → 121
Iterations

Useful iterations: 2 (462.0ms)

IterNodesCost
03072810
18852584
237922215
done50002215

prune282.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* 3.0 PI) (- 1.0 (* v v)))
0.2b
(* 6.0 (* v v))
1.0b
(/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v)))))
1.0b
(* (/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v)))) (/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v))))))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
85×sqrt-prod
82×times-frac
78×add-sqr-sqrt
62×add-cube-cbrt *-un-lft-identity
48×add-exp-log add-cbrt-cube
47×associate-*r*
20×prod-exp cbrt-unprod
16×pow1 associate-*l*
11×cbrt-undiv div-exp
7×pow-prod-down
6×associate-/r* associate-/r/ associate-/l* unswap-sqr
5×associate-*r/
4×flip3-- sqrt-div flip-- add-log-exp
3×*-commutative div-inv
2×distribute-rgt-in sub-neg distribute-lft-in
1×frac-times sqrt-undiv frac-2neg associate-*l/ clear-num difference-of-squares
Counts
4 → 194
Calls
4 calls:
10.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
7.0ms
(* 6.0 (* v v))
6.0ms
(/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v)))))
60.0ms
(* (/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v)))) (/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v))))))

series970.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
24.0ms
(* 6.0 (* v v))
215.0ms
(/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v)))))
629.0ms
(* (/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v)))) (/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify1.6s

Counts
206 → 206
Iterations

Useful iterations: 2 (778.0ms)

IterNodesCost
03785104
110994479
246734019
done50004019

prune624.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* 3.0 PI) (+ (sqrt 1.0) v))
0.0b
(* (* (* 3.0 PI) (+ (sqrt 1.0) v)) (- (sqrt 1.0) v))
0.2b
(* 6.0 (* v v))
1.0b
(/ 4.0 (* (* (* (* 3.0 PI) (+ (sqrt 1.0) v)) (- (sqrt 1.0) v)) (sqrt (- 2.0 (* 6.0 (* v v))))))

rewrite225.0ms

Algorithm
rewrite-expression-head
Rules
43×add-exp-log add-cbrt-cube
36×associate-*r/
32×frac-times
26×associate-/r/
23×pow1
22×prod-exp cbrt-unprod
21×flip3-- flip--
18×sqrt-div
16×associate-*l/
14×add-sqr-sqrt
13×*-un-lft-identity flip3-+ flip-+
12×pow-prod-down
11×associate-*r*
9×add-cube-cbrt
5×cbrt-undiv div-exp associate-*l*
4×add-log-exp
3×distribute-rgt-in distribute-lft-in times-frac *-commutative associate-/l*
2×sub-neg difference-of-squares
1×frac-2neg clear-num associate-/r* sqrt-prod div-inv distribute-lft-out distribute-lft-out-- unswap-sqr
Counts
4 → 131
Calls
4 calls:
16.0ms
(* (* 3.0 PI) (+ (sqrt 1.0) v))
47.0ms
(* (* (* 3.0 PI) (+ (sqrt 1.0) v)) (- (sqrt 1.0) v))
6.0ms
(* 6.0 (* v v))
149.0ms
(/ 4.0 (* (* (* (* 3.0 PI) (+ (sqrt 1.0) v)) (- (sqrt 1.0) v)) (sqrt (- 2.0 (* 6.0 (* v v))))))

series967.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(* (* 3.0 PI) (+ (sqrt 1.0) v))
212.0ms
(* (* (* 3.0 PI) (+ (sqrt 1.0) v)) (- (sqrt 1.0) v))
23.0ms
(* 6.0 (* v v))
636.0ms
(/ 4.0 (* (* (* (* 3.0 PI) (+ (sqrt 1.0) v)) (- (sqrt 1.0) v)) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify549.0ms

Counts
143 → 143
Iterations

Useful iterations: done (543.0ms)

IterNodesCost
03443482
110532952
done50012834

prune371.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes27.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01824
12224
done2224

end0.0ms

sample775.0ms

Algorithm
intervals
Results
316.0ms8000×body80valid
278.0ms8095×body80nan