Details

Time bar (total: 6.9s)

sample29.0ms

Algorithm
intervals
Results
11.0ms273×body80valid

simplify9.0ms

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: 2.5b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(- y (* z t))
2.5b
(/ x (- y (* z t)))

rewrite23.0ms

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:
7.0ms
(- y (* z t))
14.0ms
(/ x (- y (* z t)))

series96.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(- y (* z t))
61.0ms
(/ x (- y (* z t)))

simplify989.0ms

Counts
47 → 47
Iterations

Useful iterations: 3 (340.0ms)

IterNodesCost
074506
1164492
2533456
31970454
done5002454

prune127.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.4b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.1b
(/ 1 (- y (* z t)))
2.7b
(* x (/ 1 (- y (* z t))))

rewrite47.0ms

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:
9.0ms
(- y (* z t))
10.0ms
(/ 1 (- y (* z t)))
25.0ms
(* x (/ 1 (- y (* z t))))

series120.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(- y (* z t))
47.0ms
(/ 1 (- y (* z t)))
38.0ms
(* x (/ 1 (- y (* z t))))

simplify759.0ms

Counts
92 → 92
Iterations

Useful iterations: done (757.0ms)

IterNodesCost
01101011
1284909
21188776
done5000774

prune218.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 2.4b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.9b
(/ 1 (/ (- y (* z t)) x))
2.4b
(/ (- y (* z t)) x)

rewrite58.0ms

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:
8.0ms
(- y (* z t))
21.0ms
(/ 1 (/ (- y (* z t)) x))
21.0ms
(/ (- y (* z t)) x)

series211.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(- y (* z t))
112.0ms
(/ 1 (/ (- y (* z t)) x))
67.0ms
(/ (- y (* z t)) x)

simplify1.1s

Counts
127 → 127
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01741898
14611669
225411589
done50001470

prune326.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.1b
(/ 1 (- y (* z t)))
2.7b
(/ (/ 1 (- y (* z t))) (/ 1 x))

rewrite106.0ms

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:
8.0ms
(- y (* z t))
16.0ms
(/ 1 (- y (* z t)))
50.0ms
(/ (/ 1 (- y (* z t))) (/ 1 x))

series271.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(- y (* z t))
67.0ms
(/ 1 (- y (* z t)))
163.0ms
(/ (/ 1 (- y (* z t))) (/ 1 x))

simplify849.0ms

Counts
309 → 309
Iterations

Useful iterations: done (836.0ms)

IterNodesCost
04557191
116225804
done50005318

prune414.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

regimes354.0ms

Accuracy

26.7% (2.0b remaining)

Error of 2.1b against oracle of 0.1b and baseline of 2.9b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01626
11926
done1926

end0.0ms

sample768.0ms

Algorithm
intervals
Results
318.0ms8420×body80valid