Details

Time bar (total: 17.3s)

sample51.0ms

Algorithm
intervals
Results
19.0ms354×body80valid

simplify5.0s

Counts
1 → 1
Iterations
IterNodes
done2126
82126
72120
62006
51561
4743
3278
289
126
013

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.5b

localize19.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* z 9.0) t)
0.4b
(- (* x y) (* (* z 9.0) t))
8.0b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
13×add-cbrt-cube add-exp-log
8×pow1
6×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
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×clear-num associate-/r* sub-neg frac-2neg diff-log div-sub associate-*l* *-commutative div-inv
Counts
3 → 54
Calls
3 calls:
17.0ms
(* (* z 9.0) t)
6.0ms
(- (* x y) (* (* z 9.0) t))
17.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series197.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(* (* z 9.0) t)
82.0ms
(- (* x y) (* (* z 9.0) t))
95.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify761.0ms

Counts
63 → 63
Iterations
IterNodes
done5001
21596
1328
0116

prune397.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.5b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ (* 0.5 x) (/ a y)) (/ 4.5 (/ a (* z t))))
0.9b
(/ 4.5 (/ a (* z t)))
4.0b
(/ (* 0.5 x) (/ a y))
6.0b
(/ a (* z t))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
68×times-frac
41×add-sqr-sqrt
38×*-un-lft-identity
36×add-cube-cbrt
30×add-cbrt-cube add-exp-log
21×associate-/r*
13×cbrt-undiv div-exp
9×div-inv
7×associate-/l*
6×add-log-exp
4×pow1 prod-exp cbrt-unprod
3×clear-num frac-2neg
2×associate-/r/ difference-of-squares
1×sub-neg flip3-- diff-log frac-sub flip-- distribute-lft-out--
Counts
4 → 131
Calls
4 calls:
60.0ms
(- (/ (* 0.5 x) (/ a y)) (/ 4.5 (/ a (* z t))))
24.0ms
(/ 4.5 (/ a (* z t)))
10.0ms
(/ (* 0.5 x) (/ a y))
6.0ms
(/ a (* z t))

series212.0ms

Counts
4 → 12
Calls
4 calls:
115.0ms
(- (/ (* 0.5 x) (/ a y)) (/ 4.5 (/ a (* z t))))
40.0ms
(/ 4.5 (/ a (* z t)))
32.0ms
(/ (* 0.5 x) (/ a y))
24.0ms
(/ a (* z t))

simplify2.0s

Counts
143 → 143
Iterations
IterNodes
done5000
23548
1691
0261

prune908.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ (* 0.5 x) (/ a y)) (* z (* (/ 4.5 a) t)))
0.2b
(* (/ 4.5 a) t)
4.0b
(/ (* 0.5 x) (/ a y))
5.1b
(* z (* (/ 4.5 a) t))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
41×times-frac
32×add-sqr-sqrt
30×add-cbrt-cube add-exp-log
27×*-un-lft-identity add-cube-cbrt
16×associate-*l*
13×associate-/r*
11×pow1
9×prod-exp cbrt-unprod
8×cbrt-undiv div-exp
6×add-log-exp
4×associate-*r* pow-prod-down div-inv
3×associate-*l/
2×associate-*r/ *-commutative unswap-sqr
1×clear-num sub-neg frac-2neg flip3-- diff-log associate-/r/ frac-sub flip-- associate-/l*
Counts
4 → 112
Calls
4 calls:
58.0ms
(- (/ (* 0.5 x) (/ a y)) (* z (* (/ 4.5 a) t)))
12.0ms
(* (/ 4.5 a) t)
11.0ms
(/ (* 0.5 x) (/ a y))
20.0ms
(* z (* (/ 4.5 a) t))

series233.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(- (/ (* 0.5 x) (/ a y)) (* z (* (/ 4.5 a) t)))
18.0ms
(* (/ 4.5 a) t)
40.0ms
(/ (* 0.5 x) (/ a y))
51.0ms
(* z (* (/ 4.5 a) t))

simplify1.5s

Counts
124 → 124
Iterations
IterNodes
done5000
23525
1614
0230

prune777.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (* 0.5 x) (/ a y)) (/ (* 4.5 z) (/ a t)))
4.0b
(/ (* 0.5 x) (/ a y))
5.3b
(/ (* 4.5 z) (/ a t))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
62×times-frac
33×add-sqr-sqrt *-un-lft-identity
31×add-cube-cbrt
27×add-cbrt-cube add-exp-log
26×associate-/r*
12×cbrt-undiv div-exp
6×div-inv
5×add-log-exp
4×prod-exp cbrt-unprod
3×pow1
2×clear-num frac-2neg associate-/r/ associate-/l*
1×sub-neg flip3-- diff-log frac-sub flip-- distribute-lft-out-- difference-of-squares
Counts
3 → 107
Calls
3 calls:
56.0ms
(- (/ (* 0.5 x) (/ a y)) (/ (* 4.5 z) (/ a t)))
14.0ms
(/ (* 0.5 x) (/ a y))
10.0ms
(/ (* 4.5 z) (/ a t))

series212.0ms

Counts
3 → 9
Calls
3 calls:
135.0ms
(- (/ (* 0.5 x) (/ a y)) (/ (* 4.5 z) (/ a t)))
40.0ms
(/ (* 0.5 x) (/ a y))
37.0ms
(/ (* 4.5 z) (/ a t))

simplify1.5s

Counts
116 → 116
Iterations
IterNodes
done5001
24151
1692
0250

prune651.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes810.0ms

Accuracy

41.1% (4.8b remaining)

Error of 4.9b against oracle of 0.1b and baseline of 8.3b

bsearch1.0ms

simplify11.0ms

Iterations
IterNodes
done69
369
266
162
046

end0.0ms

sample1.7s

Algorithm
intervals
Results
842.0ms11189×body80valid