Details

Time bar (total: 14.8s)

sample44.0ms

Algorithm
intervals
Results
23.0ms352×body80valid

simplify4.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01313
12613
28913
327713
471713
5121213
6140413
7141913
done141913

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.6b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x y) (* (* z 9.0) t))
0.2b
(* (* z 9.0) t)
7.1b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
8×pow1
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×add-log-exp
4×prod-exp cbrt-unprod
3×times-frac associate-*r* pow-prod-down associate-/l*
2×cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×sub-neg frac-2neg diff-log div-sub associate-*l* clear-num associate-/r* *-commutative div-inv
Counts
3 → 54
Calls
3 calls:
24.0ms
(- (* x y) (* (* z 9.0) t))
36.0ms
(* (* z 9.0) t)
46.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series237.0ms

Counts
3 → 9
Calls
3 calls:
95.0ms
(- (* x y) (* (* z 9.0) t))
24.0ms
(* (* z 9.0) t)
118.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify1.8s

Counts
63 → 63
Iterations

Useful iterations: 2 (220.0ms)

IterNodesCost
0116858
1324827
21253711
done5001711

prune255.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 6.9b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
0.2b
(* 4.5 (/ (* t z) a))
4.5b
(/ (* t z) a)
5.9b
(/ (* x y) a)

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
13×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
9×times-frac
7×associate-*r*
6×pow1 cbrt-undiv div-exp prod-exp associate-/r* cbrt-unprod add-log-exp
5×associate-*r/
3×associate-*l* div-inv
2×frac-2neg clear-num associate-/l*
1×sub-neg flip3-- diff-log pow-prod-down *-commutative frac-sub flip-- sub-div unswap-sqr
Counts
4 → 83
Calls
4 calls:
34.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
44.0ms
(* 4.5 (/ (* t z) a))
19.0ms
(/ (* t z) a)
19.0ms
(/ (* x y) a)

series255.0ms

Counts
4 → 12
Calls
4 calls:
148.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
53.0ms
(* 4.5 (/ (* t z) a))
26.0ms
(/ (* t z) a)
28.0ms
(/ (* x y) a)

simplify1.2s

Counts
95 → 95
Iterations

Useful iterations: 2 (298.0ms)

IterNodesCost
01441055
13751008
21415874
done5001874

prune343.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.3b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.5 (* x (/ y a))) (* 4.5 (/ (* t z) a)))
0.2b
(* 4.5 (/ (* t z) a))
4.3b
(* x (/ y a))
4.5b
(/ (* t z) a)

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
23×add-exp-log add-cbrt-cube
20×associate-*r*
17×add-cube-cbrt *-un-lft-identity
16×times-frac
8×pow1 associate-*r/
7×prod-exp cbrt-unprod
6×associate-*l* add-log-exp
5×cbrt-undiv div-exp
3×associate-/r* div-inv unswap-sqr
2×pow-prod-down *-commutative
1×sub-neg flip3-- frac-2neg diff-log clear-num frac-sub flip-- associate-/l* sub-div
Counts
4 → 94
Calls
4 calls:
46.0ms
(- (* 0.5 (* x (/ y a))) (* 4.5 (/ (* t z) a)))
37.0ms
(* 4.5 (/ (* t z) a))
14.0ms
(* x (/ y a))
10.0ms
(/ (* t z) a)

series257.0ms

Counts
4 → 12
Calls
4 calls:
146.0ms
(- (* 0.5 (* x (/ y a))) (* 4.5 (/ (* t z) a)))
41.0ms
(* 4.5 (/ (* t z) a))
39.0ms
(* x (/ y a))
30.0ms
(/ (* t z) a)

simplify1.1s

Counts
106 → 106
Iterations

Useful iterations: 2 (245.0ms)

IterNodesCost
01691146
14321089
21518955
done5000955

prune416.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.5 (* x (/ y a))) (* 4.5 (* t (/ z a))))
0.2b
(* 4.5 (* t (/ z a)))
4.3b
(* x (/ y a))
4.6b
(* t (/ z a))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
27×associate-*r*
23×add-exp-log add-cbrt-cube
21×add-cube-cbrt *-un-lft-identity
20×times-frac
13×pow1
12×associate-*r/
9×associate-*l* prod-exp cbrt-unprod
6×add-log-exp
5×pow-prod-down
4×unswap-sqr
3×cbrt-undiv div-exp *-commutative
2×div-inv
1×sub-neg flip3-- diff-log frac-sub flip-- sub-div
Counts
4 → 99
Calls
4 calls:
39.0ms
(- (* 0.5 (* x (/ y a))) (* 4.5 (* t (/ z a))))
48.0ms
(* 4.5 (* t (/ z a)))
15.0ms
(* x (/ y a))
14.0ms
(* t (/ z a))

series243.0ms

Counts
4 → 12
Calls
4 calls:
144.0ms
(- (* 0.5 (* x (/ y a))) (* 4.5 (* t (/ z a))))
38.0ms
(* 4.5 (* t (/ z a)))
34.0ms
(* x (/ y a))
26.0ms
(* t (/ z a))

simplify1.3s

Counts
111 → 111
Iterations

Useful iterations: 2 (248.0ms)

IterNodesCost
01821178
14631115
21568981
done5000981

prune399.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0b

regimes712.0ms

Accuracy

86.9% (1.0b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 8.0b

bsearch4.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03876
15076
done5076

end0.0ms

sample1.5s

Algorithm
intervals
Results
979.0ms11213×body80valid