Details

Time bar (total: 31.6s)

sample270.0ms

Algorithm
intervals
Results
134.0ms815×body80nan
33.0ms256×body80valid

simplify4.9s

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

localize48.0ms

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))

rewrite286.0ms

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×sqrt-prod 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 → 130
Calls
4 calls:
41.0ms
(* 3.0 (/ x (* y 27.0)))
28.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
159.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
45.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series287.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* 3.0 (/ x (* y 27.0)))
31.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
170.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
54.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify3.8s

Counts
142 → 142
Iterations

Useful iterations: 2 (933.0ms)

IterNodesCost
02522762
17472641
247062097
done50002097

prune964.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize50.0ms

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)))

rewrite356.0ms

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×sqrt-prod add-log-exp unswap-sqr
3×*-commutative div-inv
2×associate-*l/
1×frac-2neg clear-num associate-/r* associate-/l*
Counts
4 → 132
Calls
4 calls:
56.0ms
(* (* z 2.0) (* y 27.0))
32.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
203.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
53.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

series283.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (* z 2.0) (* y 27.0))
36.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
161.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
47.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

simplify3.6s

Counts
144 → 144
Iterations

Useful iterations: 2 (862.0ms)

IterNodesCost
02412954
17392809
249592111
done50012111

prune718.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize63.0ms

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)))

rewrite293.0ms

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×sqrt-prod div-inv associate-/l* add-log-exp
2×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
Counts
4 → 159
Calls
4 calls:
31.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
10.0ms
(/ 1.0 (cbrt 3.0))
174.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
65.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

series316.0ms

Counts
4 → 10
Calls
4 calls:
120.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
144.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
52.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

simplify769.0ms

Counts
169 → 169
Iterations

Useful iterations: done (760.0ms)

IterNodesCost
02763340
18033182
done50002544

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize55.0ms

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)))

rewrite451.0ms

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×times-frac div-inv add-log-exp unswap-sqr
2×frac-2neg pow-prod-down associate-*l/ clear-num associate-/r* *-commutative associate-/l*
Counts
4 → 156
Calls
4 calls:
163.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
164.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
54.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))
51.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

series405.0ms

Counts
4 → 12
Calls
4 calls:
161.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
156.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
43.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))
44.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

simplify3.3s

Counts
168 → 168
Iterations

Useful iterations: done (3.2s)

IterNodesCost
01673688
15653424
241532392
done50012348

prune790.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes536.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02328
13228
done3228

end0.0ms

sample7.9s

Algorithm
intervals
Results
3.9s24194×body80nan
1.7s8000×body80valid