Details

Time bar (total: 18.6s)

sample31.0ms

Algorithm
intervals
Results
16.0ms340×body80valid

simplify5.2s

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: 2.8b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ x y) (- z t)) t)
6.6b
(* (/ x y) (- z t))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
add-exp-log add-cbrt-cube
associate-*r*
pow1 distribute-rgt-in sub-neg associate-+l+ distribute-lft-in add-log-exp
frac-times flip3-- associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
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:
16.0ms
(+ (* (/ x y) (- z t)) t)
50.0ms
(* (/ x y) (- z t))

series98.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(+ (* (/ x y) (- z t)) t)
60.0ms
(* (/ x y) (- z t))

simplify2.7s

Counts
63 → 63
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
0120727
1314701
2980625
33598619
done5001619

prune238.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.2s

Counts
4 → 12
Calls
4 calls:
283.0ms
(cbrt y)
291.0ms
(cbrt x)
261.0ms
(cbrt x)
329.0ms
(cbrt x)

simplify2.0s

Counts
56 → 56
Iterations

Useful iterations: 3 (86.0ms)

IterNodesCost
042260
171244
2144220
3298208
4773208
52577208
done5001208

prune371.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ 1 1) (/ (- z t) (/ y x))) t)
6.9b
(/ (- z t) (/ y x))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
119×times-frac
86×add-sqr-sqrt *-un-lft-identity
58×add-cube-cbrt
14×distribute-lft-out-- difference-of-squares
13×associate-/r*
add-exp-log add-cbrt-cube div-inv
associate-/l*
add-log-exp
cbrt-undiv div-exp
pow1 associate-/l/
+-commutative flip3-- frac-2neg flip3-+ div-sub clear-num sum-log associate-/r/ flip-- flip-+
Counts
2 → 112
Calls
2 calls:
46.0ms
(+ (* (/ 1 1) (/ (- z t) (/ y x))) t)
40.0ms
(/ (- z t) (/ y x))

series120.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(+ (* (/ 1 1) (/ (- z t) (/ y x))) t)
56.0ms
(/ (- z t) (/ y x))

simplify1.6s

Counts
118 → 118
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02191952
16061806
218661670
done50001662

prune444.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

6.9b
(/ (- z t) (/ y x))
8.4b
(cbrt (/ (- z t) (/ y x)))
8.4b
(cbrt (/ (- z t) (/ y x)))
8.4b
(cbrt (/ (- z t) (/ y x)))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
449×times-frac
313×add-sqr-sqrt *-un-lft-identity
210×cbrt-prod
207×add-cube-cbrt
53×distribute-lft-out-- difference-of-squares
25×div-inv
13×associate-/r*
add-exp-log add-cbrt-cube
associate-/l*
pow1 associate-/r/ add-log-exp
cbrt-undiv cbrt-div pow1/3 div-exp
associate-/l/
flip3-- frac-2neg div-sub clear-num flip--
Counts
4 → 338
Calls
4 calls:
32.0ms
(/ (- z t) (/ y x))
19.0ms
(cbrt (/ (- z t) (/ y x)))
23.0ms
(cbrt (/ (- z t) (/ y x)))
10.0ms
(cbrt (/ (- z t) (/ y x)))

series735.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(/ (- z t) (/ y x))
205.0ms
(cbrt (/ (- z t) (/ y x)))
237.0ms
(cbrt (/ (- z t) (/ y x)))
229.0ms
(cbrt (/ (- z t) (/ y x)))

simplify1.4s

Counts
350 → 350
Iterations

Useful iterations: done (1.4s)

IterNodesCost
03516634
17546255
221146058
done50006023

prune2.0s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes2.0ms