Details

Time bar (total: 24.1s)

sample57.0ms

Algorithm
intervals
Results
16.0ms249×body80valid
4.0ms17×body640valid
3.0ms15×body320valid
1.0ms4×body1280valid
1.0ms9×body160valid
0.0ms1×body2560valid

simplify2.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01113
12013
24513
311113
429213
586413
6337313
done500013

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.7b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y x) (- z t))
3.0b
(+ x (/ (* (- y x) (- z t)) (- a t)))
18.9b
(/ (* (- y x) (- z t)) (- a t))

rewrite157.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt *-un-lft-identity
13×flip3-- flip--
10×add-exp-log add-cbrt-cube
8×frac-times associate-/l/
7×add-cube-cbrt
5×pow1 times-frac associate-*r* associate-*l* associate-/r* add-log-exp
4×associate-*r/ associate-*l/ distribute-lft-out-- difference-of-squares
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
3 → 81
Calls
3 calls:
59.0ms
(* (- y x) (- z t))
32.0ms
(+ x (/ (* (- y x) (- z t)) (- a t)))
62.0ms
(/ (* (- y x) (- z t)) (- a t))

series545.0ms

Counts
3 → 9
Calls
3 calls:
64.0ms
(* (- y x) (- z t))
294.0ms
(+ x (/ (* (- y x) (- z t)) (- a t)))
186.0ms
(/ (* (- y x) (- z t)) (- a t))

simplify1.6s

Counts
90 → 90
Iterations

Useful iterations: 2 (448.0ms)

IterNodesCost
01621284
14801213
226621111
done50001111

prune679.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.2b

localize38.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) (- z t))
1.2b
(/ (- y x) (/ (- a t) (- z t)))
3.0b
(+ x (/ (- y x) (/ (- a t) (- z t))))

rewrite315.0ms

Algorithm
rewrite-expression-head
Rules
330×times-frac
323×*-un-lft-identity
321×add-sqr-sqrt
113×add-cube-cbrt
104×distribute-lft-out-- difference-of-squares
36×associate-/r*
15×associate-/r/
10×add-exp-log add-cbrt-cube associate-/l*
9×flip3-- flip--
8×div-inv
5×add-log-exp
4×cbrt-undiv div-exp associate-/l/
3×pow1 div-sub
2×frac-2neg clear-num
1×+-commutative associate-+r- flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 274
Calls
3 calls:
40.0ms
(/ (- a t) (- z t))
73.0ms
(/ (- y x) (/ (- a t) (- z t)))
166.0ms
(+ x (/ (- y x) (/ (- a t) (- z t))))

series727.0ms

Counts
3 → 9
Calls
3 calls:
79.0ms
(/ (- a t) (- z t))
347.0ms
(/ (- y x) (/ (- a t) (- z t)))
300.0ms
(+ x (/ (- y x) (/ (- a t) (- z t))))

simplify716.0ms

Counts
283 → 283
Iterations

Useful iterations: done (700.0ms)

IterNodesCost
03545984
111525679
done50015493

prune1.6s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 4.2b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) (- a t))
1.2b
(* (- y x) (/ (- z t) (- a t)))
3.0b
(+ x (* (- y x) (/ (- z t) (- a t))))

rewrite192.0ms

Algorithm
rewrite-expression-head
Rules
78×add-sqr-sqrt
73×*-un-lft-identity
51×times-frac
31×associate-*r*
27×add-cube-cbrt
23×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 flip3-- associate-*l* associate-/r* flip-- associate-/l* add-log-exp
4×associate-/r/
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 119
Calls
3 calls:
48.0ms
(/ (- z t) (- a t))
116.0ms
(* (- y x) (/ (- z t) (- a t)))
17.0ms
(+ x (* (- y x) (/ (- z t) (- a t))))

series630.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(/ (- z t) (- a t))
217.0ms
(* (- y x) (/ (- z t) (- a t)))
327.0ms
(+ x (* (- y x) (/ (- z t) (- a t))))

simplify2.0s

Counts
128 → 128
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01831813
15041716
226281612
done50001606

prune871.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 4.2b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- a t))
0.2b
(* (- z t) (/ 1 (- a t)))
1.2b
(* (- y x) (* (- z t) (/ 1 (- a t))))
5.9b
(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

rewrite256.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
44×*-un-lft-identity
32×add-exp-log times-frac
25×add-cube-cbrt
22×associate-*r*
20×frac-times add-cbrt-cube
17×flip3-- flip--
13×prod-exp
12×pow1
10×associate-*r/ associate-*l* associate-*l/
9×distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×div-exp add-log-exp
5×associate-/r*
4×pow-prod-down associate-/r/ un-div-inv
3×cbrt-undiv rec-exp 1-exp associate-/l* unswap-sqr
2×*-commutative div-inv
1×+-commutative pow-flip frac-2neg flip3-+ clear-num sum-log flip-+ inv-pow
Counts
4 → 146
Calls
4 calls:
23.0ms
(/ 1 (- a t))
80.0ms
(* (- z t) (/ 1 (- a t)))
122.0ms
(* (- y x) (* (- z t) (/ 1 (- a t))))
18.0ms
(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

series639.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(/ 1 (- a t))
82.0ms
(* (- z t) (/ 1 (- a t)))
201.0ms
(* (- y x) (* (- z t) (/ 1 (- a t))))
298.0ms
(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

simplify6.7s

Counts
158 → 158
Iterations

Useful iterations: done (6.7s)

IterNodesCost
02212286
16192041
243861722
done50001716

prune924.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 4.2b

regimes812.0ms

Accuracy

16.4% (6.0b remaining)

Error of 10.4b against oracle of 4.4b and baseline of 11.6b

bsearch198.0ms

Steps
ItersRangePoint
9
1.4910363290354348e-153
1.4983962605342893e-145
2.018442163092751e-153
9
-6.301268006022957e-150
-1.1743405512981292e-158
-1.9083083361715035e-150

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02347
13035
done3035

end0.0ms

sample2.1s

Algorithm
intervals
Results
842.0ms7830×body80valid
226.0ms504×body640valid
134.0ms267×body1280valid
86.0ms393×body320valid
82.0ms253×body160valid
7.0ms17×body2560valid