Details

Time bar (total: 17.0s)

sample42.0ms

Algorithm
intervals
Results
24.0ms256×body80valid

simplify3.2s

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.7b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ y t) a)
1.2b
(- (* z (+ x y)) (* b y))
2.5b
(+ (* (+ y t) a) (- (* z (+ x y)) (* b y)))
24.6b
(/ (+ (* (+ y t) a) (- (* z (+ x y)) (* b y))) (+ x (+ y t)))

rewrite255.0ms

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:
29.0ms
(* (+ y t) a)
18.0ms
(- (* z (+ x y)) (* b y))
46.0ms
(+ (* (+ y t) a) (- (* z (+ x y)) (* b y)))
159.0ms
(/ (+ (* (+ y t) a) (- (* z (+ x y)) (* b y))) (+ x (+ y t)))

series420.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* (+ y t) a)
52.0ms
(- (* z (+ x y)) (* b y))
133.0ms
(+ (* (+ y t) a) (- (* z (+ x y)) (* b y)))
208.0ms
(/ (+ (* (+ y t) a) (- (* z (+ x y)) (* b y))) (+ x (+ y t)))

simplify1.7s

Counts
116 → 116
Iterations
IterNodes
done5002
22468
1533
0185

prune701.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 5.6b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ y t) a)
1.6b
(+ (* (+ y t) a) (* z (+ x y)))
7.2b
(/ (* b y) (+ x (+ y t)))
21.5b
(/ (+ (* (+ y t) a) (* z (+ x y))) (+ x (+ y t)))

rewrite142.0ms

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:
20.0ms
(* (+ y t) a)
15.0ms
(+ (* (+ y t) a) (* z (+ x y)))
35.0ms
(/ (* b y) (+ x (+ y t)))
68.0ms
(/ (+ (* (+ y t) a) (* z (+ x y))) (+ x (+ y t)))

series414.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (+ y t) a)
89.0ms
(+ (* (+ y t) a) (* z (+ x y)))
65.0ms
(/ (* b y) (+ x (+ y t)))
220.0ms
(/ (+ (* (+ y t) a) (* z (+ x y))) (+ x (+ y t)))

simplify1.6s

Counts
124 → 124
Iterations
IterNodes
done5003
22376
1568
0200

prune754.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.5b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ x (+ y t)))
1.6b
(+ (* (+ y t) a) (* z (+ x y)))
3.0b
(* b (/ y (+ x (+ y t))))
21.5b
(/ (+ (* (+ y t) a) (* z (+ x y))) (+ x (+ y t)))

rewrite226.0ms

Algorithm
rewrite-expression-head
Rules
89×*-un-lft-identity
46×times-frac
39×add-sqr-sqrt
34×add-cube-cbrt
33×distribute-lft-out
21×associate-*r*
13×flip3-+ add-cbrt-cube add-exp-log flip-+
10×associate-/r*
9×associate-*r/
8×associate-*l/ frac-add
6×pow1 associate-/r/ associate-/l* add-log-exp associate-/l/
4×insert-posit16
3×cbrt-undiv div-exp associate-*l* div-inv
2×associate-+r+ clear-num frac-2neg prod-exp cbrt-unprod unswap-sqr
1×distribute-rgt-in +-commutative sum-log distribute-lft-in pow-prod-down *-commutative
Counts
4 → 141
Calls
4 calls:
33.0ms
(/ y (+ x (+ y t)))
26.0ms
(+ (* (+ y t) a) (* z (+ x y)))
73.0ms
(* b (/ y (+ x (+ y t))))
88.0ms
(/ (+ (* (+ y t) a) (* z (+ x y))) (+ x (+ y t)))

series531.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(/ y (+ x (+ y t)))
80.0ms
(+ (* (+ y t) a) (* z (+ x y)))
73.0ms
(* b (/ y (+ x (+ y t))))
283.0ms
(/ (+ (* (+ y t) a) (* z (+ x y))) (+ x (+ y t)))

simplify1.6s

Counts
153 → 153
Iterations
IterNodes
done5003
22498
1596
0210

prune888.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 3.3b

localize28.0ms

Local error

Found 3 expressions with local error:

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

rewrite179.0ms

Algorithm
rewrite-expression-head
Rules
58×*-un-lft-identity
31×times-frac
28×add-sqr-sqrt
23×add-cube-cbrt
21×associate-*r* distribute-lft-out
10×add-cbrt-cube add-exp-log
8×add-log-exp
5×pow1 associate-/r*
4×associate-/r/
3×flip3-+ associate-*l* associate-*r/ flip-+ insert-posit16 associate-/l*
2×cbrt-undiv diff-log div-exp prod-exp frac-sub cbrt-unprod div-inv unswap-sqr
1×clear-num sum-log sub-neg frac-2neg flip3-- pow-prod-down associate--l+ *-commutative flip--
Counts
3 → 96
Calls
3 calls:
38.0ms
(- (+ a z) (* b (/ y (+ x (+ y t)))))
37.0ms
(/ y (+ x (+ y t)))
100.0ms
(* b (/ y (+ x (+ y t))))

series211.0ms

Counts
3 → 9
Calls
3 calls:
78.0ms
(- (+ a z) (* b (/ y (+ x (+ y t)))))
81.0ms
(/ y (+ x (+ y t)))
52.0ms
(* b (/ y (+ x (+ y t))))

simplify1.2s

Counts
105 → 105
Iterations
IterNodes
done5001
21545
1408
0149

prune456.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 3.3b

regimes846.0ms

Accuracy

34.5% (9.9b remaining)

Error of 13.7b against oracle of 3.8b and baseline of 18.9b

bsearch159.0ms

Steps
ItersRangePoint
8
2.4453942514097082e+73
1.1646077756330867e+77
8.638006545329685e+75
10
-8.277458200881819e-75
-5.603066885840245e-87
-7.316110015731767e-75

simplify6.0ms

Iterations
IterNodes
done43
143
028

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.1s7999×body80valid
0.0ms1×body320valid