Details

Time bar (total: 15.1s)

sample31.0ms

Algorithm
intervals
Results
11.0ms332×body80valid

simplify2.0s

Counts
1 → 1
Iterations
IterNodes
done5000
102661
9873
8449
7284
6206
5148
489
346
226
115
09

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (* (/ y a) (- t z)))
6.8b
(* (/ y a) (- t z))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×times-frac add-cube-cbrt
7×add-cbrt-cube add-exp-log
5×sub-neg associate-*r*
4×distribute-rgt-in pow1 distribute-lft-in associate--r+ add-log-exp
3×flip3-- flip--
2×frac-times prod-exp associate-*r/ cbrt-unprod unswap-sqr
1×cbrt-undiv diff-log div-exp pow-prod-down associate-*l/ *-commutative div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 58
Calls
2 calls:
9.0ms
(- x (* (/ y a) (- t z)))
24.0ms
(* (/ y a) (- t z))

series199.0ms

Counts
2 → 6
Calls
2 calls:
88.0ms
(- x (* (/ y a) (- t z)))
111.0ms
(* (/ y a) (- t z))

simplify795.0ms

Counts
64 → 64
Iterations
IterNodes
done5001
21424
1323
0124

prune360.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (/ y a) t) (/ y (/ a (- z))))
0.0b
(- x (+ (* (/ y a) t) (/ y (/ a (- z)))))
4.0b
(* (/ y a) t)
4.7b
(/ y (/ a (- z)))

rewrite315.0ms

Algorithm
rewrite-expression-head
Rules
232×times-frac
134×add-sqr-sqrt
129×*-un-lft-identity
127×add-cube-cbrt
36×distribute-lft-neg-in distribute-rgt-neg-in
34×associate-/r*
14×add-cbrt-cube add-exp-log
13×associate-*l*
12×neg-mul-1
11×add-log-exp
6×pow1 div-inv
4×cbrt-undiv div-exp
3×associate-*r* associate-/l*
2×sum-log diff-log associate-*l/ prod-exp associate-/r/ cbrt-unprod unswap-sqr
1×+-commutative clear-num sub-neg frac-2neg flip3-+ flip3-- pow-prod-down frac-add *-commutative flip-+ flip-- distribute-lft-out associate--r+ distribute-lft-out-- difference-of-squares
Counts
4 → 215
Calls
4 calls:
79.0ms
(+ (* (/ y a) t) (/ y (/ a (- z))))
176.0ms
(- x (+ (* (/ y a) t) (/ y (/ a (- z)))))
25.0ms
(* (/ y a) t)
21.0ms
(/ y (/ a (- z)))

series174.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(+ (* (/ y a) t) (/ y (/ a (- z))))
61.0ms
(- x (+ (* (/ y a) t) (/ y (/ a (- z)))))
22.0ms
(* (/ y a) t)
30.0ms
(/ y (/ a (- z)))

simplify600.0ms

Counts
227 → 227
Iterations
IterNodes
done5000
11095
0408

prune1.3s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ t (/ a y)) (/ z (/ a y)))
0.0b
(- x (- (/ t (/ a y)) (/ z (/ a y))))
4.0b
(/ t (/ a y))
4.3b
(/ z (/ a y))

rewrite521.0ms

Algorithm
rewrite-expression-head
Rules
212×times-frac
140×add-sqr-sqrt
135×*-un-lft-identity
102×add-cube-cbrt
26×associate-/r*
17×distribute-lft-out--
14×add-cbrt-cube add-exp-log div-inv
11×add-log-exp
10×difference-of-squares
6×cbrt-undiv div-exp associate-/l*
4×pow1 diff-log associate-/r/
3×sub-neg
2×clear-num frac-2neg flip3-- distribute-rgt-out-- flip-- associate--r+
1×frac-sub sub-div associate--r-
Counts
4 → 198
Calls
4 calls:
125.0ms
(- (/ t (/ a y)) (/ z (/ a y)))
353.0ms
(- x (- (/ t (/ a y)) (/ z (/ a y))))
18.0ms
(/ t (/ a y))
14.0ms
(/ z (/ a y))

series224.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(- (/ t (/ a y)) (/ z (/ a y)))
91.0ms
(- x (- (/ t (/ a y)) (/ z (/ a y))))
39.0ms
(/ t (/ a y))
27.0ms
(/ z (/ a y))

simplify1.3s

Counts
210 → 210
Iterations
IterNodes
done5000
23590
1845
0327

prune1.3s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* (/ 1 (/ a y)) (- t z)))
0.4b
(/ 1 (/ a y))
6.8b
(* (/ 1 (/ a y)) (- t z))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
147×times-frac
97×add-sqr-sqrt
85×*-un-lft-identity
81×add-cube-cbrt
44×associate-*l*
33×add-exp-log
17×add-cbrt-cube
14×div-exp
13×associate-/r*
9×div-inv
7×prod-exp
6×pow1 cbrt-undiv
5×sub-neg associate-*r* add-log-exp unswap-sqr
4×distribute-rgt-in rec-exp distribute-lft-in 1-exp associate--r+
3×flip3-- cbrt-unprod flip-- associate-/l*
2×frac-times associate-*r/ associate-/r/
1×clear-num frac-2neg diff-log pow-prod-down associate-*l/ *-commutative pow-flip distribute-lft-out-- inv-pow difference-of-squares
Counts
3 → 174
Calls
3 calls:
10.0ms
(- x (* (/ 1 (/ a y)) (- t z)))
20.0ms
(/ 1 (/ a y))
76.0ms
(* (/ 1 (/ a y)) (- t z))

series200.0ms

Counts
3 → 9
Calls
3 calls:
81.0ms
(- x (* (/ 1 (/ a y)) (- t z)))
17.0ms
(/ 1 (/ a y))
102.0ms
(* (/ 1 (/ a y)) (- t z))

simplify2.7s

Counts
183 → 183
Iterations
IterNodes
done5002
24508
1767
0269

prune897.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes426.0ms

Accuracy

51.4% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 2.7b

bsearch61.0ms

Steps
ItersRangePoint
1
7.013128997607284e-77
7.61657078975031e-77
7.465710341714553e-77
7
-4.222632617554444e-54
-4.51144559440254e-56
-4.1562418434906425e-54

simplify3.0ms

Iterations
IterNodes
done35
135
028

end0.0ms

sample1.3s

Algorithm
intervals
Results
583.0ms10719×body80valid