Details

Time bar (total: 15.2s)

sample65.0ms

Algorithm
intervals
Results
28.0ms351×body80valid

simplify3.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01313
12613
28913
327713
471713
5121213
6140413
7141913
done141913

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.3b

localize20.0ms

Local error

Found 3 expressions with local error:

0.5b
(* (* z 9.0) t)
0.8b
(- (* x y) (* (* z 9.0) t))
8.4b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite96.0ms

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:
32.0ms
(* (* z 9.0) t)
14.0ms
(- (* x y) (* (* z 9.0) t))
47.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series202.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(* (* z 9.0) t)
71.0ms
(- (* x y) (* (* z 9.0) t))
108.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify1.4s

Counts
63 → 63
Iterations

Useful iterations: 2 (231.0ms)

IterNodesCost
0116858
1324827
21251711
done5001711

prune248.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 8.6b

localize14.0ms

Local error

Found 3 expressions with local error:

0.2b
(* 9.0 (* t z))
0.8b
(+ (* x y) (- (* 9.0 (* t z))))
8.4b
(/ (+ (* x y) (- (* 9.0 (* t z)))) (* a 2.0))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
8×pow1
7×add-log-exp
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×prod-exp cbrt-unprod
3×times-frac div-sub associate-*l* pow-prod-down associate-/l*
2×cbrt-undiv neg-sub0 associate-+r- flip3-+ div-exp unsub-neg sum-log flip-+ associate-/l/
1×+-commutative frac-2neg associate-*r* neg-log clear-num associate-/r* *-commutative div-inv
Counts
3 → 59
Calls
3 calls:
42.0ms
(* 9.0 (* t z))
11.0ms
(+ (* x y) (- (* 9.0 (* t z))))
30.0ms
(/ (+ (* x y) (- (* 9.0 (* t z)))) (* a 2.0))

series234.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(* 9.0 (* t z))
88.0ms
(+ (* x y) (- (* 9.0 (* t z))))
109.0ms
(/ (+ (* x y) (- (* 9.0 (* t z)))) (* a 2.0))

simplify1.4s

Counts
68 → 68
Iterations

Useful iterations: done (1.4s)

IterNodesCost
0118947
1330876
21322747
done5001743

prune240.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 8.6b

localize25.0ms

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))
6.3b
(/ (* t z) a)
7.2b
(/ (* x y) a)

rewrite88.0ms

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:
18.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
19.0ms
(* 4.5 (/ (* t z) a))
29.0ms
(/ (* t z) a)
20.0ms
(/ (* x y) a)

series287.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
40.0ms
(* 4.5 (/ (* t z) a))
37.0ms
(/ (* t z) a)
23.0ms
(/ (* x y) a)

simplify1.3s

Counts
95 → 95
Iterations

Useful iterations: 2 (264.0ms)

IterNodesCost
01441055
13751008
21415874
done5001874

prune326.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 1.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ t (/ a z))))
0.2b
(* 4.5 (/ t (/ a z)))
4.6b
(/ t (/ a z))
7.2b
(/ (* x y) a)

rewrite151.0ms

Algorithm
rewrite-expression-head
Rules
147×times-frac
93×add-sqr-sqrt
84×add-cube-cbrt *-un-lft-identity
44×associate-*r*
23×add-exp-log add-cbrt-cube
16×associate-/r*
10×div-inv
8×cbrt-undiv div-exp
6×pow1 add-log-exp
4×prod-exp cbrt-unprod associate-/l*
3×associate-*r/ associate-*l* unswap-sqr
2×frac-2neg clear-num associate-/r/
1×sub-neg flip3-- diff-log pow-prod-down *-commutative frac-sub flip--
Counts
4 → 170
Calls
4 calls:
35.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ t (/ a z))))
66.0ms
(* 4.5 (/ t (/ a z)))
17.0ms
(/ t (/ a z))
15.0ms
(/ (* x y) a)

series274.0ms

Counts
4 → 12
Calls
4 calls:
164.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ t (/ a z))))
38.0ms
(* 4.5 (/ t (/ a z)))
29.0ms
(/ t (/ a z))
42.0ms
(/ (* x y) a)

simplify1.5s

Counts
182 → 182
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02882200
16902027
223601885
done50001883

prune758.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

regimes521.0ms

Accuracy

44.5% (4.1b remaining)

Error of 4.2b against oracle of 0.0b and baseline of 7.5b

bsearch1.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03562
14462
done4462

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.3s11105×body80valid