Details

Time bar (total: 9.0s)

sample31.0ms

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

prune3.0ms

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))))))

rewrite83.0ms

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:
10.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
30.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
10.0ms
(* 6.0 (* v v))
29.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series862.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
284.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
31.0ms
(* 6.0 (* v v))
438.0ms
(/ 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 (464.0ms)

IterNodesCost
03072810
18852584
237922215
done50002215

prune278.0ms

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
(/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v)))))
1.0b
(* (/ 1 (* (* 3.0 PI) (- 1.0 (* v v)))) (/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v))))))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
90×add-exp-log
48×add-cbrt-cube
46×add-sqr-sqrt
44×prod-exp
41×times-frac
36×add-cube-cbrt *-un-lft-identity
29×associate-*r*
23×div-exp
22×sqrt-prod
20×cbrt-unprod
16×pow1
13×associate-*l*
11×cbrt-undiv
7×pow-prod-down
6×rec-exp 1-exp associate-/r* associate-/r/
5×associate-*r/
4×flip3-- sqrt-div flip-- add-log-exp unswap-sqr
3×*-commutative div-inv associate-/l*
2×distribute-rgt-in sub-neg distribute-lft-in
1×frac-times frac-2neg associate-*l/ clear-num difference-of-squares
Counts
4 → 161
Calls
4 calls:
12.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
6.0ms
(* 6.0 (* v v))
5.0ms
(/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v)))))
69.0ms
(* (/ 1 (* (* 3.0 PI) (- 1.0 (* v v)))) (/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v))))))

series962.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
26.0ms
(* 6.0 (* v v))
373.0ms
(/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v)))))
453.0ms
(* (/ 1 (* (* 3.0 PI) (- 1.0 (* v v)))) (/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify1.2s

Counts
173 → 173
Iterations

Useful iterations: 2 (513.0ms)

IterNodesCost
03623903
110253522
238633030
done50013030

prune339.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

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))))))

rewrite214.0ms

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))
45.0ms
(* (* (* 3.0 PI) (+ (sqrt 1.0) v)) (- (sqrt 1.0) v))
6.0ms
(* 6.0 (* v v))
141.0ms
(/ 4.0 (* (* (* (* 3.0 PI) (+ (sqrt 1.0) v)) (- (sqrt 1.0) v)) (sqrt (- 2.0 (* 6.0 (* v v))))))

series973.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(* (* 3.0 PI) (+ (sqrt 1.0) v))
205.0ms
(* (* (* 3.0 PI) (+ (sqrt 1.0) v)) (- (sqrt 1.0) v))
28.0ms
(* 6.0 (* v v))
637.0ms
(/ 4.0 (* (* (* (* 3.0 PI) (+ (sqrt 1.0) v)) (- (sqrt 1.0) v)) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify538.0ms

Counts
143 → 143
Iterations

Useful iterations: done (533.0ms)

IterNodesCost
03443482
110532952
done50012834

prune381.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes22.0ms

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
01822
12422
done2422

end0.0ms

sample748.0ms

Algorithm
intervals
Results
294.0ms8000×body80valid
274.0ms8095×body80nan