Details

Time bar (total: 19.9s)

sample49.0ms

Algorithm
intervals
Results
20.0ms340×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: 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))

rewrite59.0ms

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)
36.0ms
(* (/ x y) (- z t))

series139.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(+ (* (/ x y) (- z t)) t)
75.0ms
(* (/ x y) (- z t))

simplify2.8s

Counts
63 → 63
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
0120727
1314701
2980625
33598619
done5001619

prune221.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

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)
8.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.0s

Counts
4 → 12
Calls
4 calls:
264.0ms
(cbrt y)
275.0ms
(cbrt x)
227.0ms
(cbrt x)
269.0ms
(cbrt x)

simplify1.7s

Counts
56 → 56
Iterations

Useful iterations: 3 (63.0ms)

IterNodesCost
042260
171244
2144220
3298208
4773208
52577208
done5001208

prune230.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite72.0ms

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*
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-+ distribute-lft-out
Counts
2 → 113
Calls
2 calls:
34.0ms
(+ (* 1 (/ (- z t) (/ y x))) t)
27.0ms
(/ (- z t) (/ y x))

series115.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(+ (* 1 (/ (- z t) (/ y x))) t)
66.0ms
(/ (- z t) (/ y x))

simplify1.4s

Counts
119 → 119
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02201925
16021769
218881679
done50001671

prune379.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

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)))

rewrite117.0ms

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:
40.0ms
(/ (- z t) (/ y x))
10.0ms
(cbrt (/ (- z t) (/ y x)))
10.0ms
(cbrt (/ (- z t) (/ y x)))
16.0ms
(cbrt (/ (- z t) (/ y x)))

series568.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(/ (- z t) (/ y x))
159.0ms
(cbrt (/ (- z t) (/ y x)))
180.0ms
(cbrt (/ (- z t) (/ y x)))
175.0ms
(cbrt (/ (- z t) (/ y x)))

simplify1.2s

Counts
350 → 350
Iterations

Useful iterations: done (1.1s)

IterNodesCost
03516634
17546255
221146058
done50006023

prune1.8s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes542.0ms

Accuracy

-27.8% (2.7b remaining)

Error of 2.7b against oracle of 0.0b and baseline of 2.1b

bsearch85.0ms

Steps
ItersRangePoint
8
6.609570938318802e-286
2.3013309877247116e-283
7.655839316478377e-286
7
-4.703049420887588e+55
-1.8875019941432514e+54
-3.4911061487055496e+55

simplify6.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02041
13027
done3027

end0.0ms

sample1.2s

Algorithm
intervals
Results
553.0ms10613×body80valid