Details

Time bar (total: 16.8s)

sample47.0ms

Algorithm
intervals
Results
24.0ms346×body80valid

simplify5.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2289
3489
4799
51209
61379
71469
81639
92119
102879
113279
123719
133899
144769
155679
168169
1711459
1815699
1916529
2016549
done16549

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.9b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* (- y x) z) t))
0.0b
(* (- y x) z)
7.7b
(/ (* (- y x) z) t)

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*l* add-log-exp
4×associate-*l/
3×times-frac associate-*r* associate-/r*
2×cbrt-undiv flip3-- div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 57
Calls
3 calls:
10.0ms
(+ x (/ (* (- y x) z) t))
26.0ms
(* (- y x) z)
33.0ms
(/ (* (- y x) z) t)

series184.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(+ x (/ (* (- y x) z) t))
54.0ms
(* (- y x) z)
63.0ms
(/ (* (- y x) z) t)

simplify4.0s

Counts
66 → 66
Iterations

Useful iterations: 2 (237.0ms)

IterNodesCost
0110688
1283653
2993559
34874559
done5000559

prune229.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (/ z t)))
5.2b
(* (- y x) (/ z t))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*l*
4×pow1 add-log-exp
2×frac-times flip3-- associate-*l/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 49
Calls
2 calls:
7.0ms
(+ x (* (- y x) (/ z t)))
47.0ms
(* (- y x) (/ z t))

series143.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(+ x (* (- y x) (/ z t)))
73.0ms
(* (- y x) (/ z t))

simplify3.6s

Counts
55 → 55
Iterations

Useful iterations: 3 (1.8s)

IterNodesCost
0115669
1293627
21083581
34484557
done5001557

prune222.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- y x) (/ t z)))
5.6b
(/ (- y x) (/ t z))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
119×times-frac
88×*-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 div-sub associate-/l/
1×+-commutative associate-+r- flip3-- frac-2neg flip3-+ clear-num sum-log associate-/r/ flip-- flip-+ distribute-lft-out
Counts
2 → 114
Calls
2 calls:
50.0ms
(+ x (/ (- y x) (/ t z)))
24.0ms
(/ (- y x) (/ t z))

series139.0ms

Counts
2 → 6
Calls
2 calls:
73.0ms
(+ x (/ (- y x) (/ t z)))
65.0ms
(/ (- y x) (/ t z))

simplify1.5s

Counts
120 → 120
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02171896
15941770
218471680
done50011678

prune376.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ 1 (/ (/ t z) (- y x))))
0.3b
(/ 1 (/ (/ t z) (- y x)))
5.6b
(/ (/ t z) (- y x))

rewrite220.0ms

Algorithm
rewrite-expression-head
Rules
772×times-frac
462×*-un-lft-identity
459×add-sqr-sqrt
327×add-cube-cbrt
76×associate-/r*
66×distribute-lft-out-- difference-of-squares
33×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 distribute-lft-out
1×+-commutative pow-flip flip3-+ sum-log flip-+ associate-/l/ inv-pow
Counts
3 → 425
Calls
3 calls:
109.0ms
(+ x (/ 1 (/ (/ t z) (- y x))))
42.0ms
(/ 1 (/ (/ t z) (- y x)))
24.0ms
(/ (/ t z) (- y x))

series8.0ms