Details

Time bar (total: 2.2s)

sample18.0ms

Algorithm
intervals
Results
6.0ms271×body80valid

simplify6.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0103
1173
2173
done173

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(- y (* z t))
3.0b
(/ 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)))

series74.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(- y (* z t))
38.0ms
(/ x (- y (* z t)))

simplify117.0ms

Counts
47 → 47
Iterations

Useful iterations: 3 (41.0ms)

IterNodesCost
0157244
1479225
21401225
34323224
45001224
done5001224

prune106.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 2.9b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.3b
(/ 1 (- y (* z t)))
3.1b
(* x (/ 1 (- y (* z t))))

rewrite42.0ms

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

series116.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(- y (* z t))
44.0ms
(/ 1 (- y (* z t)))
39.0ms
(* x (/ 1 (- y (* z t))))

simplify66.0ms

Counts
92 → 92
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0264479
11071416
23863386
35001386
done5001386

prune145.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 2.9b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.7b
(/ 1 (/ (- y (* z t)) x))
2.8b
(/ (- y (* z t)) x)

rewrite38.0ms

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))
14.0ms
(/ 1 (/ (- y (* z t)) x))
13.0ms
(/ (- y (* z t)) x)

series171.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(- y (* z t))
97.0ms
(/ 1 (/ (- y (* z t)) x))
45.0ms
(/ (- y (* z t)) x)

simplify43.0ms

Counts
127 → 127
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0409937
11775836
25001759
done5001759

prune194.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 2.9b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.7b
(/ 1 (* (- y (* z t)) (/ 1 x)))
2.9b
(* (- y (* z t)) (/ 1 x))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
47×add-exp-log
20×add-sqr-sqrt
18×div-exp
17×add-cbrt-cube
16×prod-exp
14×*-un-lft-identity times-frac
13×add-cube-cbrt associate-*r*
rec-exp 1-exp
pow1
associate-/r/
cbrt-undiv flip3-- flip-- add-log-exp
frac-times associate-*l/ cbrt-unprod
associate-*l* associate-/l* unswap-sqr
pow-flip associate-*r/ pow-prod-down un-div-inv div-inv
sub-neg frac-2neg diff-log clear-num associate-/r* *-commutative inv-pow
Counts
3 → 96
Calls
3 calls:
5.0ms
(- y (* z t))
26.0ms
(/ 1 (* (- y (* z t)) (/ 1 x)))
28.0ms
(* (- y (* z t)) (/ 1 x))

series173.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(- y (* z t))
98.0ms
(/ 1 (* (- y (* z t)) (/ 1 x)))
46.0ms
(* (- y (* z t)) (/ 1 x))

simplify41.0ms

Counts
105 → 105
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0376597
11726478
25002453
done5002453

prune156.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 2.9b

regimes167.0ms

Accuracy

0% (0.1b remaining)

Error of 3.2b against oracle of 3.1b and baseline of 3.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183
done83

end0.0ms

sample467.0ms

Algorithm
intervals
Results
177.0ms8407×body80valid