Details

Time bar (total: 11.3s)

sample36.0ms

Algorithm
intervals
Results
13.0ms346×body80valid

simplify1.1s

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: 7.9b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z t))
0.0b
(- x (/ (* y (- z t)) a))
7.9b
(/ (* y (- z t)) a)

rewrite67.0ms

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:
34.0ms
(* y (- z t))
9.0ms
(- x (/ (* y (- z t)) a))
22.0ms
(/ (* y (- z t)) a)

series223.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(* y (- z t))
86.0ms
(- x (/ (* y (- z t)) a))
78.0ms
(/ (* y (- z t)) a)

simplify968.0ms

Counts
72 → 72
Iterations

Useful iterations: done (965.0ms)

IterNodesCost
0120760
1311717
21158657
done5000633

prune233.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ y (/ a (- z t))))
0.0b
(/ a (- z t))
4.8b
(/ y (/ a (- z t)))

rewrite122.0ms

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:
73.0ms
(- x (/ y (/ a (- z t))))
12.0ms
(/ a (- z t))
23.0ms
(/ y (/ a (- z t)))

series194.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(- x (/ y (/ a (- z t))))
46.0ms
(/ a (- z t))
93.0ms
(/ y (/ a (- z t)))

simplify1.3s

Counts
164 → 164
Iterations

Useful iterations: 2 (423.0ms)

IterNodesCost
02532379
16342246
229002144
done50002144

prune579.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- z t))
0.5b
(cbrt (- z t))
0.7b
(/ y (/ a (cbrt (- z t))))
3.0b
(* (* (cbrt (- z t)) (cbrt (- z t))) (/ y (/ a (cbrt (- z t)))))

rewrite229.0ms

Algorithm
rewrite-expression-head
Rules
353×times-frac
228×add-sqr-sqrt
219×*-un-lft-identity
173×add-cube-cbrt
116×cbrt-prod
95×associate-*r*
42×cbrt-div
30×add-exp-log associate-/r*
23×distribute-lft-out-- difference-of-squares
21×flip3-- add-cbrt-cube flip--
16×frac-times associate-/r/
12×associate-*l/
9×pow1 cbrt-undiv div-exp prod-exp cbrt-unprod div-inv
5×associate-*r/
4×add-log-exp unswap-sqr
3×pow-prod-down associate-/l*
2×pow1/3
1×frac-2neg associate-*l* clear-num *-commutative
Counts
4 → 307
Calls
4 calls:
8.0ms
(cbrt (- z t))
7.0ms
(cbrt (- z t))
32.0ms
(/ y (/ a (cbrt (- z t))))
147.0ms
(* (* (cbrt (- z t)) (cbrt (- z t))) (/ y (/ a (cbrt (- z t)))))

series610.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(cbrt (- z t))
213.0ms
(cbrt (- z t))
140.0ms
(/ y (/ a (cbrt (- z t))))
72.0ms
(* (* (cbrt (- z t)) (cbrt (- z t))) (/ y (/ a (cbrt (- z t)))))

simplify1.0s

Counts
319 → 319
Iterations

Useful iterations: done (1.0s)

IterNodesCost
04786326
115636033
done50015687

prune1.5s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- z t))
0.0b
(- x (/ y (* a (/ 1 (- z t)))))
0.2b
(* a (/ 1 (- z t)))
4.8b
(/ y (* a (/ 1 (- z t))))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
43×*-un-lft-identity
35×times-frac
32×add-exp-log
26×add-cube-cbrt
21×associate-*r*
20×add-cbrt-cube
11×div-exp
8×prod-exp distribute-lft-out-- difference-of-squares
7×pow1
6×cbrt-undiv associate-/r* associate-/r/ associate-/l* add-log-exp
4×cbrt-unprod
3×rec-exp flip3-- 1-exp associate-*l* flip-- div-inv unswap-sqr
2×frac-2neg associate-*r/ clear-num un-div-inv
1×sub-neg pow-flip diff-log pow-prod-down *-commutative inv-pow
Counts
4 → 126
Calls
4 calls:
14.0ms
(/ 1 (- z t))
27.0ms
(- x (/ y (* a (/ 1 (- z t)))))
42.0ms
(* a (/ 1 (- z t)))
30.0ms
(/ y (* a (/ 1 (- z t))))

series249.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(/ 1 (- z t))
92.0ms
(- x (/ y (* a (/ 1 (- z t)))))
47.0ms
(* a (/ 1 (- z t)))
65.0ms
(/ y (* a (/ 1 (- z t))))

simplify708.0ms

Counts
138 → 138
Iterations

Useful iterations: done (705.0ms)

IterNodesCost
01781540
14411355
218031094
done50001078

prune269.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes343.0ms

Accuracy

81.3% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 2.6b

bsearch1.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02143
12343
done2343

end0.0ms

sample1.4s

Algorithm
intervals
Results
581.0ms10693×body80valid