Details

Time bar (total: 17.7s)

sample53.0ms

Algorithm
intervals
Results
22.0ms357×body80valid

simplify4.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01313
12713
29013
328813
475113
5129613
6155613
7158013
done158013

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.4b

localize34.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* z 9.0) t)
0.3b
(- (* x y) (* (* z 9.0) t))
8.9b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite69.0ms

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×expm1-log1p-u times-frac associate-*r* pow-prod-down log1p-expm1-u associate-/l*
2×cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×sub-neg frac-2neg fma-neg diff-log div-sub associate-*l* prod-diff clear-num associate-/r* *-commutative div-inv
Counts
3 → 62
Calls
3 calls:
19.0ms
(* (* z 9.0) t)
9.0ms
(- (* x y) (* (* z 9.0) t))
38.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series298.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(* (* z 9.0) t)
138.0ms
(- (* x y) (* (* z 9.0) t))
128.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify1.7s

Counts
71 → 71
Iterations

Useful iterations: 2 (306.0ms)

IterNodesCost
0127944
1344906
21424787
done5000787

prune353.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 8.9b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 0.5 (/ (* x y) a))
0.2b
(* 4.5 (/ (* t z) a))
5.0b
(/ (* t z) a)
6.9b
(/ (* x y) a)

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log add-cbrt-cube
18×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity associate-*r*
12×times-frac
10×prod-exp cbrt-unprod
8×pow1 cbrt-undiv div-exp
6×associate-*l* associate-/r*
4×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
2×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l* unswap-sqr
Counts
4 → 104
Calls
4 calls:
20.0ms
(* 0.5 (/ (* x y) a))
28.0ms
(* 4.5 (/ (* t z) a))
11.0ms
(/ (* t z) a)
11.0ms
(/ (* x y) a)

series156.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* 0.5 (/ (* x y) a))
50.0ms
(* 4.5 (/ (* t z) a))
37.0ms
(/ (* t z) a)
28.0ms
(/ (* x y) a)

simplify1.3s

Counts
116 → 116
Iterations

Useful iterations: 2 (263.0ms)

IterNodesCost
01541036
13761002
21379830
done5000830

prune470.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.3b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 0.5 (/ (* x y) a))
0.2b
(* 4.5 (/ t (/ a z)))
4.8b
(/ t (/ a z))
6.9b
(/ (* x y) a)

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
150×times-frac
98×add-sqr-sqrt
87×add-cube-cbrt *-un-lft-identity
51×associate-*r*
32×add-exp-log add-cbrt-cube
16×associate-/r*
11×div-inv
10×cbrt-undiv div-exp
8×pow1 prod-exp cbrt-unprod
6×associate-*l*
4×expm1-log1p-u log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×frac-2neg associate-*r/ pow-prod-down clear-num associate-/r/ *-commutative
Counts
4 → 192
Calls
4 calls:
19.0ms
(* 0.5 (/ (* x y) a))
44.0ms
(* 4.5 (/ t (/ a z)))
20.0ms
(/ t (/ a z))
21.0ms
(/ (* x y) a)

series161.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* 0.5 (/ (* x y) a))
41.0ms
(* 4.5 (/ t (/ a z)))
29.0ms
(/ t (/ a z))
45.0ms
(/ (* x y) a)

simplify1.6s

Counts
204 → 204
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02972190
16902030
223111848
done50001846

prune839.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 0.5 (* x (/ y a)))
0.2b
(* 4.5 (/ t (/ a z)))
4.8b
(/ t (/ a z))
5.4b
(* x (/ y a))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
154×times-frac
105×add-sqr-sqrt
91×add-cube-cbrt *-un-lft-identity
58×associate-*r*
32×add-exp-log add-cbrt-cube
13×pow1 associate-/r*
10×prod-exp cbrt-unprod div-inv
9×associate-*l*
8×cbrt-undiv div-exp
5×pow-prod-down unswap-sqr
4×expm1-log1p-u associate-*r/ log1p-expm1-u add-log-exp
3×*-commutative associate-/l*
2×associate-/r/
1×frac-2neg clear-num
Counts
4 → 197
Calls
4 calls:
32.0ms
(* 0.5 (* x (/ y a)))
43.0ms
(* 4.5 (/ t (/ a z)))
9.0ms
(/ t (/ a z))
14.0ms
(* x (/ y a))

series159.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(* 0.5 (* x (/ y a)))
48.0ms
(* 4.5 (/ t (/ a z)))
38.0ms
(/ t (/ a z))
30.0ms
(* x (/ y a))

simplify1.8s

Counts
209 → 209
Iterations

Useful iterations: done (1.8s)

IterNodesCost
03132222
17262056
223681874
done50001872

prune1.0s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

regimes1.0s

Accuracy

46.4% (4.3b remaining)

Error of 4.3b against oracle of 0.0b and baseline of 8.1b

bsearch1.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03565
14765
done4765

end0.0ms

sample1.7s

Algorithm
intervals
Results
819.0ms11236×body80valid