Details

Time bar (total: 3.1s)

sample44.0ms

Algorithm
intervals
Results
19.0ms273×body80valid

simplify243.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
010205
119165
242165
374165
4117165
5156165
6182165
7201165
8203165
done203165

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.1b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
4.1b
(/ (* x 2.0) (* z (- y t)))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
16×add-cbrt-cube add-exp-log
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*r* prod-exp cbrt-unprod
4×pow1 cbrt-undiv div-exp associate-*r/ add-cube-cbrt
3×associate-*l*
2×distribute-rgt-in sub-neg distribute-lft-in flip3-- associate-/r/ flip-- add-log-exp
1×clear-num associate-/r* frac-2neg times-frac pow-prod-down *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 49
Calls
2 calls:
30.0ms
(* z (- y t))
29.0ms
(/ (* x 2.0) (* z (- y t)))

series155.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(* z (- y t))
86.0ms
(/ (* x 2.0) (* z (- y t)))

simplify1.8s

Counts
55 → 55
Iterations

Useful iterations: done (1.8s)

IterNodesCost
09310865
12559631
212079071
done50118791

prune320.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (- y t))
0.4b
(/ 1 (/ (* z (- y t)) (* x 2.0)))
3.9b
(/ (* z (- y t)) (* x 2.0))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
61×add-exp-log
35×add-cbrt-cube
26×div-exp
20×times-frac
19×add-sqr-sqrt
17×*-un-lft-identity prod-exp
15×add-cube-cbrt
13×cbrt-undiv
9×cbrt-unprod
6×pow1 associate-/r* div-inv
5×rec-exp 1-exp associate-*r*
4×associate-*r/ associate-/l*
3×associate-*l* add-log-exp
2×distribute-rgt-in clear-num sub-neg frac-2neg distribute-lft-in flip3-- flip-- associate-/l/
1×pow-prod-down associate-/r/ *-commutative pow-flip distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
3 → 105
Calls
3 calls:
25.0ms
(* z (- y t))
20.0ms
(/ 1 (/ (* z (- y t)) (* x 2.0)))
15.0ms
(/ (* z (- y t)) (* x 2.0))

series295.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(* z (- y t))
147.0ms
(/ 1 (/ (* z (- y t)) (* x 2.0)))
87.0ms
(/ (* z (- y t)) (* x 2.0))

simplify101.0ms

Iterations

Useful iterations: 0 (12.0ms)

IterNodesCost
016931070