Details

Time bar (total: 13.9s)

sample27.0ms

Algorithm
intervals
Results
13.0ms351×body80valid

simplify501.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1169
2329
3699
41379
51879
62319
72499
82999
93259
103319
done3319

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.9b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
8.5b
(/ (* y (- z t)) a)

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 49
Calls
2 calls:
47.0ms
(* y (- z t))
22.0ms
(/ (* y (- z t)) a)

series105.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(* y (- z t))
55.0ms
(/ (* y (- z t)) a)

simplify2.4s

Counts
55 → 55
Iterations

Useful iterations: 2 (117.0ms)

IterNodesCost
094493
1231473
2711399
33396399
done5001399

prune156.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ a (- z t))
6.2b
(/ y (/ a (- z t)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
102×add-sqr-sqrt *-un-lft-identity
70×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
Counts
2 → 139
Calls
2 calls:
14.0ms
(/ a (- z t))
27.0ms
(/ y (/ a (- z t)))

series132.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ a (- z t))
80.0ms
(/ y (/ a (- z t)))

simplify1.5s

Counts
145 → 145
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02232062
14681930
216151854
done50001836

prune579.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (- z t))
6.5b
(/ (/ y a) (/ 1 (- z t)))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
696×times-frac
384×add-sqr-sqrt *-un-lft-identity
292×add-cube-cbrt
46×distribute-lft-out-- difference-of-squares
38×div-inv
31×associate-/r/
28×add-exp-log
26×associate-/r*
18×div-exp
16×add-cbrt-cube associate-/l*
15×flip3-- flip--
9×cbrt-undiv
3×pow1 rec-exp 1-exp
2×frac-2neg clear-num add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
2 → 372
Calls
2 calls:
17.0ms
(/ 1 (- z t))
35.0ms
(/ (/ y a) (/ 1 (- z t)))

series138.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(/ 1 (- z t))
79.0ms
(/ (/ y a) (/ 1 (- z t)))

simplify2.6s

Counts
378 → 378
Iterations

Useful iterations: 2 (1.1s)

IterNodesCost
05718043
115686395
237855901
done50015901

prune797.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
1.2b
(* (* (* (cbrt y) (cbrt y)) (* (cbrt (- z t)) (cbrt (- z t)))) (* (/ (cbrt y) a) (cbrt (- z t))))
1.5b
(* (/ (cbrt y) a) (cbrt (- z t)))

rewrite447.0ms

Algorithm
rewrite-expression-head
Rules
116×cbrt-div
85×associate-*r/
84×frac-times
78×add-exp-log
58×flip3-- flip--
51×prod-exp cbrt-unprod
47×pow1
43×add-sqr-sqrt
36×add-cbrt-cube
32×pow-prod-down
30×associate-*l/
29×cbrt-prod
27×*-un-lft-identity
23×associate-*l*
22×times-frac
21×add-cube-cbrt
9×associate-*r*
6×cbrt-undiv div-exp unswap-sqr
4×add-log-exp
3×distribute-lft-out-- difference-of-squares
2×pow1/3 *-commutative
1×div-inv
Counts
4 → 187
Calls
4 calls:
8.0ms
(cbrt (- z t))
8.0ms
(cbrt (- z t))
354.0ms
(* (* (* (cbrt y) (cbrt y)) (* (cbrt (- z t)) (cbrt (- z t)))) (* (/ (cbrt y) a) (cbrt (- z t))))
49.0ms
(* (/ (cbrt y) a) (cbrt (- z t)))

series687.0ms

Counts
4 → 12
Calls
4 calls:
198.0ms
(cbrt (- z t))
205.0ms
(cbrt (- z t))
114.0ms
(* (* (* (cbrt y) (cbrt y)) (* (cbrt (- z t)) (cbrt (- z t)))) (* (/ (cbrt y) a) (cbrt (- z t))))
170.0ms
(* (/ (cbrt y) a) (cbrt (- z t)))

simplify2.6s

Counts
199 → 199
Iterations

Useful iterations: done (2.6s)

IterNodesCost
03385459
110015258
238323933
done50023380

prune924.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes2.0ms