Details

Time bar (total: 13.0s)

sample34.0ms

Algorithm
intervals
Results
15.0ms266×body80valid

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1107
2177
done177

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.7b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(- y (* z t))
3.6b
(/ x (- y (* z t)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 flip3-- associate-/r/ flip--
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
2 → 41
Calls
2 calls:
11.0ms
(- y (* z t))
20.0ms
(/ x (- y (* z t)))

series99.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(- y (* z t))
62.0ms
(/ x (- y (* z t)))

simplify2.4s

Counts
47 → 47
Iterations

Useful iterations: 4 (1.0s)

IterNodesCost
074506
1158492
2384454
3899454
42145453
done5000453

prune187.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 3.6b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.3b
(/ 1 (- y (* z t)))
3.6b
(* x (/ 1 (- y (* z t))))

rewrite78.0ms

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
6×pow1
5×add-log-exp
4×div-exp prod-exp associate-/r/
3×flip3-- associate-*l* associate-/r* flip-- associate-/l* unswap-sqr
2×cbrt-undiv rec-exp 1-exp cbrt-unprod div-inv
1×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))
11.0ms
(/ 1 (- y (* z t)))
59.0ms
(* x (/ 1 (- y (* z t))))

series170.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(- y (* z t))
78.0ms
(/ 1 (- y (* z t)))
45.0ms
(* x (/ 1 (- y (* z t))))

simplify3.4s

Counts
92 → 92
Iterations

Useful iterations: 4 (2.1s)

IterNodesCost
01101011
1258866
2545770
31211770
43004769
done5000769

prune285.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 3.5b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.5b
(/ 1 (/ (- y (* z t)) x))
3.6b
(/ (- y (* z t)) x)

rewrite57.0ms

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
8×div-exp
6×div-inv associate-/l*
5×add-log-exp
4×pow1 cbrt-undiv
2×rec-exp flip3-- frac-2neg 1-exp clear-num flip-- associate-/l/
1×sub-neg pow-flip diff-log div-sub associate-/r/ inv-pow
Counts
3 → 118
Calls
3 calls:
10.0ms
(- y (* z t))
24.0ms
(/ 1 (/ (- y (* z t)) x))
19.0ms
(/ (- y (* z t)) x)

series202.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(- y (* z t))
116.0ms
(/ 1 (/ (- y (* z t)) x))
48.0ms
(/ (- y (* z t)) x)

simplify2.1s

Counts
127 → 127
Iterations

Useful iterations: 3 (767.0ms)

IterNodesCost
01741898
13971669
28871484
324111466
done50011466

prune268.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.3b
(/ 1 (- y (* z t)))
3.7b
(/ (/ 1 (- y (* z t))) (/ 1 x))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
474×times-frac
221×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
47×add-exp-log
34×div-exp
32×div-inv
31×associate-/r/
18×associate-/l*
17×add-cbrt-cube
16×flip3-- associate-/r* flip--
9×cbrt-undiv rec-exp 1-exp
5×add-log-exp
4×pow1
2×frac-2neg clear-num
1×sub-neg pow-flip diff-log associate-/l/ inv-pow
Counts
3 → 300
Calls
3 calls:
10.0ms
(- y (* z t))
13.0ms
(/ 1 (- y (* z t)))
48.0ms
(/ (/ 1 (- y (* z t))) (/ 1 x))

series272.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(- y (* z t))
63.0ms
(/ 1 (- y (* z t)))
175.0ms
(/ (/ 1 (- y (* z t))) (/ 1 x))

simplify1.5s

Counts
309 → 309
Iterations

Useful iterations: done (1.4s)

IterNodesCost
04557191
112405588
221094948
done50004876

prune425.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes447.0ms

Accuracy

76.9% (0.6b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 2.9b

bsearch2.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01941
12631
done2631

end0.0ms

sample921.0ms

Algorithm
intervals
Results
445.0ms8404×body80valid