Details

Time bar (total: 12.1s)

sample31.0ms

Algorithm
intervals
Results
15.0ms342×body80valid

simplify6.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2319
3579
4899
51149
61339
71549
81909
92459
102739
113009
123419
133549
143709
153869
164739
175649
188129
1911389
2015689
2116519
2216569
done16569

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ x y) (- z t)) t)
6.3b
(* (/ x y) (- z t))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 distribute-rgt-in sub-neg associate-+l+ distribute-lft-in add-log-exp
2×frac-times flip3-- associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 57
Calls
2 calls:
25.0ms
(+ (* (/ x y) (- z t)) t)
38.0ms
(* (/ x y) (- z t))

series167.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(+ (* (/ x y) (- z t)) t)
109.0ms
(* (/ x y) (- z t))

simplify3.0s

Counts
63 → 63
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
0120727
1314701
2980625
33598619
done5001619

prune190.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 1 (/ (- z t) (/ y x))) t)
6.7b
(/ (- z t) (/ y x))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
119×times-frac
87×*-un-lft-identity
86×add-sqr-sqrt
58×add-cube-cbrt
14×distribute-lft-out-- difference-of-squares
13×associate-/r*
7×add-exp-log add-cbrt-cube div-inv
5×associate-/l*
4×add-log-exp
3×cbrt-undiv div-exp
2×pow1 associate-/l/
1×+-commutative flip3-- frac-2neg flip3-+ div-sub clear-num sum-log associate-/r/ flip-- flip-+ distribute-lft-out
Counts
2 → 113
Calls
2 calls:
32.0ms
(+ (* 1 (/ (- z t) (/ y x))) t)
42.0ms
(/ (- z t) (/ y x))

series143.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(+ (* 1 (/ (- z t) (/ y x))) t)
80.0ms
(/ (- z t) (/ y x))

simplify1.6s

Counts
119 → 119
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02201925
16021769
218881679
done50001671

prune410.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* 1 (/ 1 (/ (/ y x) (- z t)))) t)
0.5b
(/ 1 (/ (/ y x) (- z t)))
6.7b
(/ (/ y x) (- z t))

rewrite176.0ms

Algorithm
rewrite-expression-head
Rules
772×times-frac
460×*-un-lft-identity
459×add-sqr-sqrt
327×add-cube-cbrt
76×associate-/r*
66×distribute-lft-out-- difference-of-squares
32×div-inv
29×add-exp-log
18×div-exp
17×add-cbrt-cube
16×associate-/l*
11×associate-/r/
9×cbrt-undiv
5×flip3-- flip-- add-log-exp
4×pow1
3×rec-exp 1-exp
2×frac-2neg clear-num
1×+-commutative pow-flip flip3-+ sum-log flip-+ associate-/l/ distribute-lft-out inv-pow
Counts
3 → 424
Calls
3 calls:
42.0ms
(+ (* 1 (/ 1 (/ (/ y x) (- z t)))) t)
48.0ms
(/ 1 (/ (/ y x) (- z t)))
18.0ms
(/ (/ y x) (- z t))

series14.0ms