Details

Time bar (total: 30.6s)

sample81.0ms

Algorithm
intervals
Results
31.0ms256×body80valid

simplify6.8s

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

prune36.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.2b

localize77.0ms

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)))

rewrite341.0ms

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:
33.0ms
(* (+ y t) a)
27.0ms
(- (* z (+ x y)) (* b y))
54.0ms
(+ (* (+ y t) a) (- (* z (+ x y)) (* b y)))
213.0ms
(/ (+ (* (+ y t) a) (- (* z (+ x y)) (* b y))) (+ x (+ y t)))

series712.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(* (+ y t) a)
87.0ms
(- (* z (+ x y)) (* b y))
222.0ms
(+ (* (+ y t) a) (- (* z (+ x y)) (* b y)))
343.0ms
(/ (+ (* (+ y t) a) (- (* z (+ x y)) (* b y))) (+ x (+ y t)))

simplify4.0s

Counts
116 → 116
Iterations
IterNodes
done5007
22495
1534
0185

prune2.1s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.6b

localize69.0ms

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)))

rewrite222.0ms

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:
30.0ms
(* (+ y t) a)
22.0ms
(+ (* (+ y t) a) (* z (+ x y)))
44.0ms
(/ (* b y) (+ x (+ y t)))
118.0ms
(/ (+ (* (+ y t) a) (* z (+ x y))) (+ x (+ y t)))

series538.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(* (+ y t) a)
80.0ms
(+ (* (+ y t) a) (* z (+ x y)))
72.0ms
(/ (* b y) (+ x (+ y t)))
353.0ms
(/ (+ (* (+ y t) a) (* z (+ x y))) (+ x (+ y t)))

simplify3.0s

Counts
124 → 124
Iterations
IterNodes
done5010
22390
1568
0200

prune2.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.5b

localize40.0ms

Local error

Found 2 expressions with local error:

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

rewrite198.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
7×add-cbrt-cube add-exp-log distribute-lft-out add-log-exp
6×add-sqr-sqrt
5×associate-/r* times-frac
4×add-cube-cbrt
2×pow1 cbrt-undiv flip3-+ diff-log div-exp associate-/r/ frac-sub flip-+ insert-posit16 distribute-lft-out--
1×clear-num sum-log sub-neg frac-2neg flip3-- prod-exp associate--l+ cbrt-unprod div-inv flip-- associate-/l* difference-of-squares
Counts
2 → 48
Calls
2 calls:
131.0ms
(- (+ a z) (/ (* b y) (+ x (+ y t))))
64.0ms
(/ (* b y) (+ x (+ y t)))

series213.0ms

Counts
2 → 6
Calls
2 calls:
128.0ms
(- (+ a z) (/ (* b y) (+ x (+ y t))))
85.0ms
(/ (* b y) (+ x (+ y t)))

simplify1.9s

Counts
54 → 54
Iterations
IterNodes
done5000
21291
1335
0113

prune739.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 3.4b

localize31.0ms

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))))

rewrite212.0ms

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:
53.0ms
(- (+ a z) (* b (/ y (+ x (+ y t)))))
44.0ms
(/ y (+ x (+ y t)))
107.0ms
(* b (/ y (+ x (+ y t))))

series258.0ms

Counts
3 → 9
Calls
3 calls:
96.0ms
(- (+ a z) (* b (/ y (+ x (+ y t)))))
87.0ms
(/ y (+ x (+ y t)))
75.0ms
(* b (/ y (+ x (+ y t))))

simplify2.2s

Counts
105 → 105
Iterations
IterNodes
done5010
21541
1409
0149

prune1.1s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 3.4b

regimes2.2s

Accuracy

32.1% (10.8b remaining)

Error of 14.6b against oracle of 3.9b and baseline of 19.7b

bsearch163.0ms

Steps
ItersRangePoint
8
2.4453942514097082e+73
1.1646077756330867e+77
8.638006545329685e+75
10
-8.277458200881819e-75
-5.603066885840245e-87
-2.2035960592640754e-76

simplify14.0ms

Iterations
IterNodes
done46
146
031

end0.0ms

sample1.3s

Algorithm
intervals
Results
862.0ms7999×body80valid
0.0ms1×body320valid