Details

Time bar (total: 11.2s)

sample35.0ms

Algorithm
intervals
Results
13.0ms345×body80valid

simplify802.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1169
2329
3699
41629
53759
613749
done50019

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.1b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* y (- z t)) a))
0.0b
(* y (- z t))
4.9b
(/ (* y (- z t)) a)

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×*-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×sub-neg flip3-- times-frac associate-*l* associate-/r* flip--
2×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp prod-exp cbrt-unprod associate-/l/ distribute-lft-out-- difference-of-squares
1×frac-2neg diff-log pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 63
Calls
3 calls:
12.0ms
(- x (/ (* y (- z t)) a))
36.0ms
(* y (- z t))
29.0ms
(/ (* y (- z t)) a)

series181.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(- x (/ (* y (- z t)) a))
50.0ms
(* y (- z t))
59.0ms
(/ (* y (- z t)) a)

simplify630.0ms

Counts
72 → 72
Iterations

Useful iterations: done (628.0ms)

IterNodesCost
0120760
1311717
21161651
done5000633

prune147.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* (* y (- z t)) (/ 1 a)))
0.0b
(* y (- z t))
5.0b
(* (* y (- z t)) (/ 1 a))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log
18×associate-*r*
17×add-cbrt-cube
16×add-sqr-sqrt
14×*-un-lft-identity
13×prod-exp
12×add-cube-cbrt
10×pow1
9×times-frac
7×associate-*r/ cbrt-unprod
5×add-log-exp
4×flip3-- div-exp associate-*l* pow-prod-down flip--
3×sub-neg
2×cbrt-undiv distribute-rgt-in frac-times rec-exp distribute-lft-in 1-exp associate-*l/ *-commutative
1×diff-log un-div-inv div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 80
Calls
3 calls:
5.0ms
(- x (* (* y (- z t)) (/ 1 a)))
24.0ms
(* y (- z t))
40.0ms
(* (* y (- z t)) (/ 1 a))

series182.0ms

Counts
3 → 9
Calls
3 calls:
74.0ms
(- x (* (* y (- z t)) (/ 1 a)))
54.0ms
(* y (- z t))
54.0ms
(* (* y (- z t)) (/ 1 a))

simplify2.7s

Counts
89 → 89
Iterations

Useful iterations: done (2.7s)

IterNodesCost
01551082
1437968
22540791
done5000781

prune243.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* y (- z t))
0.0b
(- x (/ 1 (/ a (* y (- z t)))))
0.4b
(/ 1 (/ a (* y (- z t))))
4.9b
(/ a (* y (- z t)))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
44×times-frac
37×add-sqr-sqrt
32×add-exp-log *-un-lft-identity
26×add-cube-cbrt
20×add-cbrt-cube
14×div-exp
12×associate-*r/
11×associate-/r/
10×associate-/r*
7×pow1 cbrt-undiv flip3-- flip-- div-inv
6×associate-/l* add-log-exp
5×associate-*r* prod-exp
4×difference-of-squares
3×sub-neg rec-exp 1-exp associate-*l* cbrt-unprod distribute-lft-out--
2×distribute-rgt-in frac-2neg distribute-lft-in clear-num
1×pow-flip diff-log pow-prod-down *-commutative inv-pow unswap-sqr
Counts
4 → 130
Calls
4 calls:
23.0ms
(* y (- z t))
22.0ms
(- x (/ 1 (/ a (* y (- z t)))))
33.0ms
(/ 1 (/ a (* y (- z t))))
24.0ms
(/ a (* y (- z t)))

series244.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* y (- z t))
67.0ms
(- x (/ 1 (/ a (* y (- z t)))))
78.0ms
(/ 1 (/ a (* y (- z t))))
55.0ms
(/ a (* y (- z t)))

simplify1.1s

Counts
142 → 142
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02061849
14981654
222191536
done50021526

prune278.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ 1 (/ (/ a y) (- z t))))
0.4b
(/ 1 (/ (/ a y) (- z t)))
5.4b
(/ (/ a y) (- z t))

rewrite196.0ms

Algorithm
rewrite-expression-head
Rules
784×times-frac
482×add-sqr-sqrt
465×*-un-lft-identity
327×add-cube-cbrt
76×associate-/r*
73×difference-of-squares
68×distribute-lft-out--
33×div-inv
29×add-exp-log
18×div-exp
17×add-cbrt-cube
16×associate-/l*
11×associate-/r/
9×cbrt-undiv
6×flip3-- flip--
5×add-log-exp
4×pow1
3×rec-exp 1-exp
2×frac-2neg clear-num
1×sub-neg pow-flip diff-log associate-/l/ inv-pow
Counts
3 → 433
Calls
3 calls:
92.0ms
(- x (/ 1 (/ (/ a y) (- z t))))
31.0ms
(/ 1 (/ (/ a y) (- z t)))
18.0ms
(/ (/ a y) (- z t))

series208.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(- x (/ 1 (/ (/ a y) (- z t))))
79.0ms
(/ 1 (/ (/ a y) (- z t)))
54.0ms
(/ (/ a y) (- z t))

simplify1.2s

Counts
442 → 442
Iterations

Useful iterations: done (1.2s)

IterNodesCost
05948775
116937627
done50017297

prune961.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes428.0ms

Accuracy

76.6% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 2.2b

bsearch3.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
02553
12951
done2951

end0.0ms

sample1.3s

Algorithm
intervals
Results
584.0ms10760×body80valid