Details

Time bar (total: 10.6s)

sample30.0ms

Algorithm
intervals
Results
12.0ms348×body80valid

simplify2.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1159
2269
3469
4899
51489
61899
72589
84079
97619
1023289
done50019

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.4b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z t))
0.0b
(+ x (/ (* y (- z t)) a))
8.0b
(/ (* y (- z t)) a)

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-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×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 61
Calls
3 calls:
35.0ms
(* y (- z t))
10.0ms
(+ x (/ (* y (- z t)) a))
22.0ms
(/ (* y (- z t)) a)

series183.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(* y (- z t))
69.0ms
(+ x (/ (* y (- z t)) a))
71.0ms
(/ (* y (- z t)) a)

simplify901.0ms

Counts
70 → 70
Iterations

Useful iterations: done (899.0ms)

IterNodesCost
0116722
1316679
21189613
done5001589

prune236.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ a (- z t))
0.0b
(+ x (/ y (/ a (- z t))))
7.6b
(/ y (/ a (- z t)))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
105×*-un-lft-identity
103×add-sqr-sqrt
71×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip-- add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×frac-2neg clear-num
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 151
Calls
3 calls:
11.0ms
(/ a (- z t))
55.0ms
(+ x (/ y (/ a (- z t))))
21.0ms
(/ y (/ a (- z t)))

series185.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(/ a (- z t))
63.0ms
(+ x (/ y (/ a (- z t))))
75.0ms
(/ y (/ a (- z t)))

simplify1.1s

Counts
160 → 160
Iterations

Useful iterations: 2 (352.0ms)

IterNodesCost
02452291
16292158
229012056
done50002056

prune579.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (/ y a) (- z t)))
6.6b
(* (/ y a) (- z t))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 distribute-rgt-in sub-neg associate-+r+ distribute-lft-in add-log-exp
2×frac-times flip3-- associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 57
Calls
2 calls:
12.0ms
(+ x (* (/ y a) (- z t)))
55.0ms
(* (/ y a) (- z t))

series164.0ms

Counts
2 → 6
Calls
2 calls:
75.0ms
(+ x (* (/ y a) (- z t)))
89.0ms
(* (/ y a) (- z t))

simplify794.0ms

Counts
63 → 63
Iterations

Useful iterations: 2 (220.0ms)

IterNodesCost
0123723
1330691
21414643
done5001643

prune216.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (/ y a) (/ 1 (- z t))))
6.7b
(/ (/ y a) (/ 1 (- z t)))

rewrite227.0ms

Algorithm
rewrite-expression-head
Rules
681×times-frac
368×*-un-lft-identity
366×add-sqr-sqrt
282×add-cube-cbrt
42×distribute-lft-out-- difference-of-squares
37×div-inv
29×associate-/r/
24×add-exp-log
21×associate-/r*
16×div-exp
14×flip3-- add-cbrt-cube flip--
13×associate-/l*
8×cbrt-undiv
4×add-log-exp
2×pow1 rec-exp 1-exp
1×+-commutative frac-2neg flip3-+ clear-num sum-log flip-+ associate-/l/ distribute-lft-out
Counts
2 → 343
Calls
2 calls:
152.0ms
(+ x (/ (/ y a) (/ 1 (- z t))))
41.0ms
(/ (/ y a) (/ 1 (- z t)))

series136.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(+ x (/ (/ y a) (/ 1 (- z t))))
75.0ms
(/ (/ y a) (/ 1 (- z t)))

simplify1.0s

Counts
349 → 349
Iterations

Useful iterations: done (996.0ms)

IterNodesCost
05877917
119336727
done50015891

prune602.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes350.0ms

Accuracy

33.9% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 2.4b

bsearch1.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02146
12938
done2938

end0.0ms

sample1.7s

Algorithm
intervals
Results
883.0ms10636×body80valid