Details

Time bar (total: 3.4s)

sample40.0ms

Algorithm
intervals
Results
19.0ms338×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1107
done107

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (* x y) (* z t))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ sum-log add-cbrt-cube flip-+
Counts
1 → 11
Calls
1 calls:
9.0ms
(+ (* x y) (* z t))

series63.0ms

Counts
1 → 3
Calls
1 calls:
63.0ms
(+ (* x y) (* z t))

simplify3.0s

Counts
14 → 14
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
031160
1101155
2343141
3931141
42526141
done5000141

prune66.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

1.2b
(+ (* (* x y) (* x y)) (* (* t z) (- (* t z) (* x y))))
1.5b
(+ (pow (* x y) 3) (pow (* z t) 3))
2.5b
(* (* t z) (- (* t z) (* x y)))
37.0b
(/ (+ (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* x y) (* x y)) (* (* t z) (- (* t z) (* x y)))))

rewrite219.0ms

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity
15×add-sqr-sqrt add-cube-cbrt times-frac
11×add-exp-log add-cbrt-cube
9×pow1
8×add-log-exp
5×sum-cubes distribute-lft-out associate-/l*
4×distribute-rgt-in sub-neg associate-+r+ distribute-lft-in flip3-+ flip-+
3×associate-*r* pow-prod-down prod-exp associate-/r* cbrt-unprod
2×+-commutative associate-*r/ sum-log associate-/r/ associate-/l/
1×cbrt-undiv flip3-- frac-2neg div-exp associate-*l* clear-num *-commutative flip-- div-inv
Counts
4 → 91
Calls
4 calls:
42.0ms
(+ (* (* x y) (* x y)) (* (* t z) (- (* t z) (* x y))))
19.0ms
(+ (pow (* x y) 3) (pow (* z t) 3))
45.0ms
(* (* t z) (- (* t z) (* x y)))
108.0ms
(/ (+ (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* x y) (* x y)) (* (* t z) (- (* t z) (* x y)))))

series2.0ms