Details

Time bar (total: 17.0s)

sample36.0ms

Algorithm
intervals
Results
23.0ms256×body80valid

simplify2.8s

Counts
1 → 1
Iterations
IterNodes
done5001
83263
71792
61228
5907
4476
3182
271
132
016

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.7b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ y t) a)
0.9b
(- (* z (+ x y)) (* b y))
1.4b
(+ (* (+ y t) a) (- (* z (+ x y)) (* b y)))
22.7b
(/ (+ (* (+ y t) a) (- (* z (+ x y)) (* b y))) (+ x (+ y t)))

rewrite204.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
18×add-sqr-sqrt
16×add-cube-cbrt
15×times-frac
13×distribute-lft-out
11×add-log-exp
10×associate-*l/
8×flip3-+ add-cbrt-cube frac-add add-exp-log flip-+
6×pow1 associate-/l/
5×associate-/r* flip3-- flip--
4×associate-+r+ associate-*l* associate--l+ insert-posit16
3×associate-*r* associate-/l*
2×distribute-rgt-in associate-+r- sum-log sub-neg distribute-lft-in diff-log associate-/r/
1×cbrt-undiv +-commutative clear-num frac-2neg div-sub div-exp pow-prod-down prod-exp *-commutative cbrt-unprod div-inv unswap-sqr
Counts
4 → 104
Calls
4 calls:
15.0ms
(* (+ y t) a)
11.0ms
(- (* z (+ x y)) (* b y))
43.0ms
(+ (* (+ y t) a) (- (* z (+ x y)) (* b y)))
134.0ms
(/ (+ (* (+ y t) a) (- (* z (+ x y)) (* b y))) (+ x (+ y t)))

series344.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (+ y t) a)
35.0ms
(- (* z (+ x y)) (* b y))
116.0ms
(+ (* (+ y t) a) (- (* z (+ x y)) (* b y)))
170.0ms
(/ (+ (* (+ y t) a) (- (* z (+ x y)) (* b y))) (+ x (+ y t)))

simplify1.6s

Counts
116 → 116
Iterations
IterNodes
done5002
22468
1533
0185

prune567.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 4.4b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ y t) a)
1.3b
(+ (* (+ y t) a) (* z (+ x y)))
7.5b
(/ (* b y) (+ x (+ y t)))
19.4b
(/ (+ (* (+ y t) a) (* z (+ x y))) (+ x (+ y t)))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
50×*-un-lft-identity
20×add-sqr-sqrt times-frac
19×distribute-lft-out
18×add-cube-cbrt
13×flip3-+ add-cbrt-cube add-exp-log flip-+
10×associate-/r* associate-*l/
8×frac-add associate-*r/
6×pow1 add-log-exp associate-/l/
4×associate-*l* associate-/r/ insert-posit16 associate-/l*
3×cbrt-undiv div-exp associate-*r*
2×associate-+r+ clear-num frac-2neg prod-exp cbrt-unprod div-inv
1×distribute-rgt-in +-commutative sum-log distribute-lft-in pow-prod-down *-commutative unswap-sqr
Counts
4 → 112
Calls
4 calls:
14.0ms
(* (+ y t) a)
15.0ms
(+ (* (+ y t) a) (* z (+ x y)))
29.0ms
(/ (* b y) (+ x (+ y t)))
55.0ms
(/ (+ (* (+ y t) a) (* z (+ x y))) (+ x (+ y t)))

series393.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(* (+ y t) a)
59.0ms
(+ (* (+ y t) a) (* z (+ x y)))
74.0ms
(/ (* b y) (+ x (+ y t)))
227.0ms
(/ (+ (* (+ y t) a) (* z (+ x y))) (+ x (+ y t)))

simplify1.7s

Counts
124 → 124
Iterations
IterNodes
done5003
22376
1568
0200

prune666.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.3b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ x (+ y t)) y)
1.3b
(+ (* (+ y t) a) (* z (+ x y)))
4.7b
(/ b (/ (+ x (+ y t)) y))
19.4b
(/ (+ (* (+ y t) a) (* z (+ x y))) (+ x (+ y t)))

rewrite183.0ms

Algorithm
rewrite-expression-head
Rules
180×*-un-lft-identity
147×times-frac
80×add-sqr-sqrt add-cube-cbrt
60×distribute-lft-out
27×associate-/r*
13×add-cbrt-cube add-exp-log
12×flip3-+ flip-+
11×associate-/l*
8×associate-*l/ frac-add associate-*r/ associate-/l/
7×div-inv
6×add-log-exp
5×cbrt-undiv div-exp
4×pow1 insert-posit16
3×clear-num frac-2neg associate-/r/
2×associate-+r+
1×distribute-rgt-in +-commutative sum-log distribute-lft-in
Counts
4 → 195
Calls
4 calls:
55.0ms
(/ (+ x (+ y t)) y)
20.0ms
(+ (* (+ y t) a) (* z (+ x y)))
23.0ms
(/ b (/ (+ x (+ y t)) y))
81.0ms
(/ (+ (* (+ y t) a) (* z (+ x y))) (+ x (+ y t)))

series386.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(/ (+ x (+ y t)) y)
72.0ms
(+ (* (+ y t) a) (* z (+ x y)))
55.0ms
(/ b (/ (+ x (+ y t)) y))
235.0ms
(/ (+ (* (+ y t) a) (* z (+ x y))) (+ x (+ y t)))

simplify1.7s

Counts
207 → 207
Iterations
IterNodes
done5006
22948
1812
0292

prune1.1s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (+ y t))
0.0b
(- (+ a z) (/ b (/ (+ x (+ y t)) y)))
0.0b
(/ (+ x (+ y t)) y)
4.7b
(/ b (/ (+ x (+ y t)) y))

rewrite157.0ms

Algorithm
rewrite-expression-head
Rules
160×*-un-lft-identity
135×times-frac
79×add-sqr-sqrt
70×add-cube-cbrt
52×distribute-lft-out
22×associate-/r*
14×add-log-exp
11×add-cbrt-cube add-exp-log
8×associate-/l*
6×div-inv
4×pow1 cbrt-undiv sum-log div-exp insert-posit16
3×flip3-+ flip-+ difference-of-squares
2×clear-num frac-2neg diff-log frac-sub distribute-lft-out-- associate-/l/
1×+-commutative associate-+r+ sub-neg flip3-- associate--l+ associate-/r/ flip--
Counts
4 → 171
Calls
4 calls:
11.0ms
(+ x (+ y t))
61.0ms
(- (+ a z) (/ b (/ (+ x (+ y t)) y)))
51.0ms
(/ (+ x (+ y t)) y)
31.0ms
(/ b (/ (+ x (+ y t)) y))

series233.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(+ x (+ y t))
109.0ms
(- (+ a z) (/ b (/ (+ x (+ y t)) y)))
24.0ms
(/ (+ x (+ y t)) y)
77.0ms
(/ b (/ (+ x (+ y t)) y))

simplify1.6s

Counts
183 → 183
Iterations
IterNodes
done5008
22138
1634
0246

prune757.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.0b

regimes795.0ms

Accuracy

44.5% (8.9b remaining)

Error of 12.4b against oracle of 3.4b and baseline of 19.5b

bsearch117.0ms

Steps
ItersRangePoint
8
695318447.7085649
1776871083790.3284
129142155513.06804
6
-3.284740480210206e-25
-2.2261673059425264e-26
-2.9724483350448765e-25

simplify6.0ms

Iterations
IterNodes
done42
142
028

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.2s7996×body80valid
0.0ms1×body1280valid
0.0ms1×body640valid
0.0ms2×body160valid