Details

Time bar (total: 9.0s)

sample17.0ms

Algorithm
intervals
Results
5.0ms268×body80valid

simplify6.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1107
2177
done177

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.3b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(- y (* z t))
2.3b
(/ x (- y (* z t)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
add-exp-log add-cbrt-cube add-log-exp
associate-/r* associate-/l*
pow1 flip3-- associate-/r/ flip--
cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
2 → 41
Calls
2 calls:
5.0ms
(- y (* z t))
9.0ms
(/ x (- y (* z t)))

series70.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(- y (* z t))
39.0ms
(/ x (- y (* z t)))

simplify1.6s

Counts
47 → 47
Iterations

Useful iterations: 4 (658.0ms)

IterNodesCost
074506
1158492
2384454
3899454
42145453
done5000453

prune88.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 2.2b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.3b
(/ 1 (- y (* z t)))
2.4b
(* x (/ 1 (- y (* z t))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
20×*-un-lft-identity times-frac
19×add-cube-cbrt
16×add-exp-log
15×associate-*r*
10×add-cbrt-cube
pow1
add-log-exp
div-exp prod-exp associate-/r/
flip3-- associate-*l* associate-/r* flip-- associate-/l* unswap-sqr
cbrt-undiv rec-exp 1-exp cbrt-unprod div-inv
sub-neg pow-flip frac-2neg diff-log associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
3 → 83
Calls
3 calls:
5.0ms
(- y (* z t))
9.0ms
(/ 1 (- y (* z t)))
23.0ms
(* x (/ 1 (- y (* z t))))

series115.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(- y (* z t))
45.0ms
(/ 1 (- y (* z t)))
38.0ms
(* x (/ 1 (- y (* z t))))

simplify1.9s

Counts
92 → 92
Iterations

Useful iterations: 4 (1.1s)

IterNodesCost
01101011
1258866
2545770
31211770
43004769
done5000769

prune139.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 2.2b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.9b
(/ 1 (/ (- y (* z t)) x))
2.2b
(/ (- y (* z t)) x)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
53×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-exp-log associate-/r*
10×add-cbrt-cube
div-exp
div-inv associate-/l*
add-log-exp
pow1 cbrt-undiv
rec-exp flip3-- frac-2neg 1-exp clear-num flip-- associate-/l/
sub-neg pow-flip diff-log div-sub associate-/r/ inv-pow
Counts
3 → 118
Calls
3 calls:
5.0ms
(- y (* z t))
13.0ms
(/ 1 (/ (- y (* z t)) x))
13.0ms
(/ (- y (* z t)) x)

series179.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(- y (* z t))
102.0ms
(/ 1 (/ (- y (* z t)) x))
47.0ms
(/ (- y (* z t)) x)

simplify1.4s

Counts
127 → 127
Iterations

Useful iterations: 3 (558.0ms)

IterNodesCost
01741898
13971669
28871484
324111466
done50011466

prune187.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 4 expressions with local error:

2.3b
(/ x (- y (* z t)))
12.9b
(cbrt (/ x (- y (* z t))))
12.9b
(cbrt (/ x (- y (* z t))))
12.9b
(cbrt (/ x (- y (* z t))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
45×cbrt-prod
36×times-frac
33×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
associate-/r/
add-exp-log add-cbrt-cube
pow1 flip3-- flip-- div-inv add-log-exp
cbrt-div pow1/3 associate-/r* associate-/l*
cbrt-undiv frac-2neg div-exp clear-num
Counts
4 → 101
Calls
4 calls:
9.0ms
(/ x (- y (* z t)))
4.0ms
(cbrt (/ x (- y (* z t))))
5.0ms
(cbrt (/ x (- y (* z t))))
5.0ms
(cbrt (/ x (- y (* z t))))

series351.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(/ x (- y (* z t)))
105.0ms
(cbrt (/ x (- y (* z t))))
104.0ms
(cbrt (/ x (- y (* z t))))
104.0ms
(cbrt (/ x (- y (* z t))))

simplify1.8s

Counts
113 → 113
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01211689
12271638
25311559
313221538
434801510
done50011504

prune330.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.1b

regimes164.0ms

Accuracy

-23.8% (3.1b remaining)

Error of 3.3b against oracle of 0.1b and baseline of 2.7b

bsearch44.0ms

Steps
ItersRangePoint
7
-8.65036192446594e-213
-1.643810131227844e-214
-8.518426596525934e-213
6
-7.354476440063869e+34
-5.288856036909784e+33
-5.441052365728335e+33

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01933
12627
done2627

end0.0ms

sample467.0ms

Algorithm
intervals
Results
179.0ms8382×body80valid