Details

Time bar (total: 9.0s)

sample34.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify1.9s

Counts
1 → 1
Iterations

Useful iterations: 6 (657.0ms)

IterNodesCost
013325
125325
250325
3109285
4205285
5497285
61775245
done5004245

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.7b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(- z (/ (* y t) (* z 2.0)))
0.0b
(- x (/ y (- z (/ (* y t) (* z 2.0)))))
5.4b
(/ y (- z (/ (* y t) (* z 2.0))))
7.3b
(/ (* y t) (* z 2.0))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
26×*-un-lft-identity
18×add-cbrt-cube add-exp-log
17×times-frac
14×add-cube-cbrt
8×add-log-exp
7×difference-of-squares
6×associate-/r* distribute-lft-out--
5×cbrt-undiv div-exp
4×pow1 prod-exp cbrt-unprod associate-/l*
3×flip3-- flip--
2×clear-num sub-neg frac-2neg diff-log associate-/r/ div-inv
Counts
4 → 87
Calls
4 calls:
8.0ms
(- z (/ (* y t) (* z 2.0)))
29.0ms
(- x (/ y (- z (/ (* y t) (* z 2.0)))))
14.0ms
(/ y (- z (/ (* y t) (* z 2.0))))
16.0ms
(/ (* y t) (* z 2.0))

series453.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(- z (/ (* y t) (* z 2.0)))
103.0ms
(- x (/ y (- z (/ (* y t) (* z 2.0)))))
255.0ms
(/ y (- z (/ (* y t) (* z 2.0))))
30.0ms
(/ (* y t) (* z 2.0))

simplify1.8s

Counts
99 → 99
Iterations

Useful iterations: 2 (475.0ms)

IterNodesCost
015429990
136727991
2151827271
done506027271

prune516.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(- z (/ y (/ (* z 2.0) t)))
0.0b
(- x (/ y (- z (/ y (/ (* z 2.0) t)))))
4.2b
(/ y (/ (* z 2.0) t))
5.4b
(/ y (- z (/ y (/ (* z 2.0) t))))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
61×add-sqr-sqrt
57×times-frac
43×*-un-lft-identity
31×add-cube-cbrt
15×add-cbrt-cube add-exp-log
13×associate-/r*
12×difference-of-squares
8×add-log-exp
6×cbrt-undiv div-exp div-inv associate-/l* distribute-lft-out--
4×pow1
3×flip3-- associate-/r/ flip--
2×clear-num sub-neg frac-2neg diff-log
1×prod-exp cbrt-unprod
Counts
4 → 119
Calls
4 calls:
12.0ms
(- z (/ y (/ (* z 2.0) t)))
48.0ms
(- x (/ y (- z (/ y (/ (* z 2.0) t)))))
8.0ms
(/ y (/ (* z 2.0) t))
24.0ms
(/ y (- z (/ y (/ (* z 2.0) t))))

series435.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(- z (/ y (/ (* z 2.0) t)))
107.0ms
(- x (/ y (- z (/ y (/ (* z 2.0) t)))))
43.0ms
(/ y (/ (* z 2.0) t))
237.0ms
(/ y (- z (/ y (/ (* z 2.0) t))))

simplify2.0s

Counts
131 → 131
Iterations

Useful iterations: done (2.0s)

IterNodesCost
021541253
151439028
2178338585
done500338182

prune764.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.3b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* y (/ 1 (- z (/ y (/ (* z 2.0) t))))))
0.6b
(/ 1 (- z (/ y (/ (* z 2.0) t))))
4.2b
(/ y (/ (* z 2.0) t))
4.8b
(* y (/ 1 (- z (/ y (/ (* z 2.0) t)))))

rewrite160.0ms

Algorithm
rewrite-expression-head
Rules
84×add-sqr-sqrt
78×times-frac
57×*-un-lft-identity
42×add-cube-cbrt
26×add-exp-log
24×associate-*r*
20×add-cbrt-cube
14×difference-of-squares
13×associate-/r*
9×div-exp
7×pow1 cbrt-undiv div-inv distribute-lft-out--
6×associate-/l* add-log-exp
5×prod-exp associate-/r/
3×flip3-- associate-*l* cbrt-unprod flip-- unswap-sqr
2×rec-exp clear-num frac-2neg 1-exp
1×sub-neg diff-log pow-prod-down associate-*r/ un-div-inv *-commutative pow-flip inv-pow
Counts
4 → 152
Calls
4 calls:
7.0ms
(- x (* y (/ 1 (- z (/ y (/ (* z 2.0) t))))))
49.0ms
(/ 1 (- z (/ y (/ (* z 2.0) t))))
10.0ms
(/ y (/ (* z 2.0) t))
84.0ms
(* y (/ 1 (- z (/ y (/ (* z 2.0) t)))))

series432.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(- x (* y (/ 1 (- z (/ y (/ (* z 2.0) t))))))
59.0ms
(/ 1 (- z (/ y (/ (* z 2.0) t))))
48.0ms
(/ y (/ (* z 2.0) t))
245.0ms
(* y (/ 1 (- z (/ y (/ (* z 2.0) t)))))

simplify181.0ms

Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
024650688