Details

Time bar (total: 29.1s)

sample238.0ms

Algorithm
intervals
Results
122.0ms815×body80nan
30.0ms256×body80valid

simplify5.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01819
13819
212219
350019
4229519
done500119

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.1b

localize46.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (/ x (* y 27.0)))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
3.7b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
6.3b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite298.0ms

Algorithm
rewrite-expression-head
Rules
92×add-exp-log add-cbrt-cube
39×prod-exp cbrt-unprod
29×add-sqr-sqrt
27×cbrt-undiv div-exp
21×associate-*l*
18×add-cube-cbrt *-un-lft-identity
16×associate-*r*
15×times-frac
10×pow1
5×unswap-sqr
4×expm1-log1p-u sqrt-prod log1p-expm1-u div-inv add-log-exp
3×pow-prod-down *-commutative
2×associate-*r/ associate-*l/
1×frac-2neg clear-num associate-/r* associate-/l/ associate-/l*
Counts
4 → 138
Calls
4 calls:
39.0ms
(* 3.0 (/ x (* y 27.0)))
28.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
171.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
49.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series294.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* 3.0 (/ x (* y 27.0)))
43.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
162.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
53.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify3.4s

Counts
150 → 150
Iterations

Useful iterations: 2 (965.0ms)

IterNodesCost
02602872
17592751
247262203
done50012203

prune980.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (* z 2.0) (* y 27.0))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
3.7b
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
5.2b
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

rewrite402.0ms

Algorithm
rewrite-expression-head
Rules
115×add-exp-log add-cbrt-cube
63×prod-exp cbrt-unprod
24×add-sqr-sqrt
21×cbrt-undiv div-exp
20×pow1
19×associate-*l*
15×add-cube-cbrt *-un-lft-identity
12×times-frac
10×associate-*r* pow-prod-down
4×expm1-log1p-u sqrt-prod log1p-expm1-u add-log-exp unswap-sqr
3×*-commutative div-inv
2×associate-*l/
1×frac-2neg clear-num associate-/r* associate-/l*
Counts
4 → 140
Calls
4 calls:
57.0ms
(* (* z 2.0) (* y 27.0))
31.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
220.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
77.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

series327.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (* z 2.0) (* y 27.0))
37.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
189.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
62.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

simplify919.0ms

Counts
152 → 152
Iterations

Useful iterations: done (910.0ms)

IterNodesCost
02493064
17522919
done50002221

prune793.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
1.0b
(/ 1.0 (cbrt 3.0))
3.7b
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
5.2b
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

rewrite322.0ms

Algorithm
rewrite-expression-head
Rules
105×add-exp-log
103×add-cbrt-cube
55×prod-exp cbrt-unprod
48×add-sqr-sqrt
40×times-frac
36×add-cube-cbrt *-un-lft-identity
27×associate-*l*
22×cbrt-undiv cbrt-prod div-exp
9×associate-*r*
8×pow1
7×associate-/r*
5×unswap-sqr
4×expm1-log1p-u sqrt-prod log1p-expm1-u div-inv associate-/l* add-log-exp
2×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
Counts
4 → 167
Calls
4 calls:
36.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
11.0ms
(/ 1.0 (cbrt 3.0))
195.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
64.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

series348.0ms

Counts
4 → 10
Calls
4 calls:
123.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
175.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
49.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

simplify777.0ms

Counts
177 → 177
Iterations

Useful iterations: done (767.0ms)

IterNodesCost
02843446
18173288
done50002688

prune1.4s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize74.0ms

Local error

Found 4 expressions with local error:

3.7b
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
3.7b
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
5.2b
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))
5.2b
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

rewrite574.0ms

Algorithm
rewrite-expression-head
Rules
192×add-exp-log add-cbrt-cube
106×prod-exp cbrt-unprod
40×cbrt-undiv div-exp
18×add-sqr-sqrt
12×associate-*r*
10×add-cube-cbrt *-un-lft-identity associate-*l*
8×pow1 sqrt-prod
4×expm1-log1p-u times-frac log1p-expm1-u div-inv add-log-exp unswap-sqr
2×frac-2neg pow-prod-down associate-*l/ clear-num associate-/r* *-commutative associate-/l*
Counts
4 → 164
Calls
4 calls:
208.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
217.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
66.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))
62.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

series477.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
174.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
56.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))
71.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

simplify3.5s

Counts
176 → 176
Iterations

Useful iterations: done (3.5s)

IterNodesCost
01713796
15733532
241462500
done50022456

prune879.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes509.0ms

Accuracy

0% (0.0b remaining)

Error of 0.3b against oracle of 0.3b and baseline of 0.3b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02328
13228
done3228

end0.0ms

sample7.5s

Algorithm
intervals
Results
4.2s24194×body80nan
1.0s8000×body80valid