Details

Time bar (total: 9.7s)

sample28.0ms

Algorithm
intervals
Results
11.0ms331×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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.4b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z t))
0.0b
(+ x (/ (* y (- z t)) a))
6.2b
(/ (* y (- z t)) a)

rewrite77.0ms

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:
36.0ms
(* y (- z t))
14.0ms
(+ x (/ (* y (- z t)) a))
24.0ms
(/ (* y (- z t)) a)

series206.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(* y (- z t))
85.0ms
(+ x (/ (* y (- z t)) a))
74.0ms
(/ (* y (- z t)) a)

simplify776.0ms

Counts
70 → 70
Iterations

Useful iterations: done (775.0ms)

IterNodesCost
0116722
1316679
21189613
done5001589

prune499.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

6.2b
(/ (* y (- z t)) a)
8.9b
(cbrt (/ (* y (- z t)) a))
8.9b
(cbrt (/ (* y (- z t)) a))
8.9b
(cbrt (/ (* y (- z t)) a))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
9×add-exp-log add-cbrt-cube
4×pow1 div-inv add-log-exp
3×cbrt-div pow1/3 associate-/r*
2×cbrt-undiv associate-*r/ div-exp associate-/l/
1×flip3-- frac-2neg prod-exp clear-num flip-- cbrt-unprod associate-/l*
Counts
4 → 71
Calls
4 calls:
22.0ms
(/ (* y (- z t)) a)
6.0ms
(cbrt (/ (* y (- z t)) a))
11.0ms
(cbrt (/ (* y (- z t)) a))
12.0ms
(cbrt (/ (* y (- z t)) a))

series504.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(/ (* y (- z t)) a)
114.0ms
(cbrt (/ (* y (- z t)) a))
172.0ms
(cbrt (/ (* y (- z t)) a))
163.0ms
(cbrt (/ (* y (- z t)) a))

simplify699.0ms

Counts
83 → 83
Iterations

Useful iterations: done (696.0ms)

IterNodesCost
01091029
12581002
21016910
done5001873

prune361.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ y (/ a (- z t))))
0.0b
(/ a (- z t))
9.4b
(/ y (/ a (- z t)))

rewrite77.0ms

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:
42.0ms
(+ x (/ y (/ a (- z t))))
11.0ms
(/ a (- z t))
17.0ms
(/ y (/ a (- z t)))

series146.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(+ x (/ y (/ a (- z t))))
31.0ms
(/ a (- z t))
61.0ms
(/ y (/ a (- z t)))

simplify1.1s

Counts
160 → 160
Iterations

Useful iterations: 2 (355.0ms)

IterNodesCost
02452291
16292158
229052056
done50002056

prune479.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

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:
7.0ms
(+ x (* (/ y a) (- z t)))
29.0ms
(* (/ y a) (- z t))

series118.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(+ x (* (/ y a) (- z t)))
63.0ms
(* (/ y a) (- z t))

simplify778.0ms

Counts
63 → 63
Iterations

Useful iterations: 2 (157.0ms)

IterNodesCost
0123723
1330691
21414643
done5001643

prune134.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes302.0ms

Accuracy

33.8% (1.6b remaining)

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

bsearch2.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02151
12751
done2751

end0.0ms

sample1.3s

Algorithm
intervals
Results
521.0ms10620×body80valid