Details

Time bar (total: 12.9s)

sample41.0ms

Algorithm
intervals
Results
15.0ms321×body80valid

simplify821.0ms

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: 4.2b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* y (- z t)) a))
0.0b
(* y (- z t))
4.1b
(/ (* y (- z t)) a)

rewrite70.0ms

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))
33.0ms
(* y (- z t))
24.0ms
(/ (* y (- z t)) a)

series194.0ms

Counts
3 → 9
Calls
3 calls:
73.0ms
(- x (/ (* y (- z t)) a))
54.0ms
(* y (- z t))
67.0ms
(/ (* y (- z t)) a)

simplify773.0ms

Counts
72 → 72
Iterations

Useful iterations: done (770.0ms)

IterNodesCost
0120760
1311717
21161651
done5000633

prune239.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* y (/ (- z t) a)))
0.0b
(/ (- z t) a)
7.1b
(* y (/ (- z t) a))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
19×associate-*r*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l* add-log-exp
3×associate-*l* associate-/r*
2×cbrt-undiv flip3-- div-exp prod-exp flip-- cbrt-unprod div-inv associate-/l/ unswap-sqr
1×sub-neg frac-2neg diff-log div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
3 → 88
Calls
3 calls:
11.0ms
(- x (* y (/ (- z t) a)))
33.0ms
(/ (- z t) a)
62.0ms
(* y (/ (- z t) a))

series208.0ms

Counts
3 → 9
Calls
3 calls:
76.0ms
(- x (* y (/ (- z t) a)))
52.0ms
(/ (- z t) a)
80.0ms
(* y (/ (- z t) a))

simplify938.0ms

Counts
97 → 97
Iterations

Useful iterations: 2 (312.0ms)

IterNodesCost
01401067
13561004
21477930
done5001930

prune312.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* y (* (- z t) (/ 1 a))))
0.2b
(* (- z t) (/ 1 a))
7.1b
(* y (* (- z t) (/ 1 a)))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log
21×add-sqr-sqrt
17×add-cbrt-cube
15×*-un-lft-identity
14×associate-*r*
13×prod-exp
12×add-cube-cbrt
11×times-frac
10×pow1
8×associate-*r/ associate-*l*
7×cbrt-unprod
5×flip3-- flip-- add-log-exp
4×frac-times div-exp pow-prod-down associate-*l/
3×unswap-sqr
2×cbrt-undiv rec-exp 1-exp un-div-inv *-commutative
1×sub-neg diff-log div-inv distribute-lft-out-- difference-of-squares
Counts
3 → 82
Calls
3 calls:
10.0ms
(- x (* y (* (- z t) (/ 1 a))))
50.0ms
(* (- z t) (/ 1 a))
59.0ms
(* y (* (- z t) (/ 1 a)))

series224.0ms

Counts
3 → 9
Calls
3 calls:
84.0ms
(- x (* y (* (- z t) (/ 1 a))))
52.0ms
(* (- z t) (/ 1 a))
88.0ms
(* y (* (- z t) (/ 1 a)))

simplify4.1s

Counts
91 → 91
Iterations

Useful iterations: done (4.1s)

IterNodesCost
01561139
14101037
22594788
done5001782

prune311.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ y (/ a (- z t))))
0.0b
(/ a (- z t))
7.4b
(/ y (/ a (- z t)))

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
141×times-frac
112×add-sqr-sqrt
105×*-un-lft-identity
71×add-cube-cbrt
26×associate-/r*
19×difference-of-squares
17×distribute-lft-out--
11×associate-/r/
10×add-exp-log add-cbrt-cube
6×flip3-- flip-- div-inv associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×frac-2neg clear-num
1×sub-neg diff-log
Counts
3 → 155
Calls
3 calls:
68.0ms
(- x (/ y (/ a (- z t))))
19.0ms
(/ a (- z t))
18.0ms
(/ y (/ a (- z t)))

series228.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(- x (/ y (/ a (- z t))))
53.0ms
(/ a (- z t))
105.0ms
(/ y (/ a (- z t)))

simplify1.3s

Counts
164 → 164
Iterations

Useful iterations: 2 (448.0ms)

IterNodesCost
02532379
16342246
229002144
done50002144

prune996.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes368.0ms

Accuracy

85.8% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 2.5b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02143
12443
done2443

end0.0ms

sample1.4s

Algorithm
intervals
Results
634.0ms10573×body80valid