Details

Time bar (total: 16.5s)

sample32.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify2.9s

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

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.7b

localize50.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (+ x y))
1.6b
(- (* z (+ x y)) (* b y))
3.4b
(+ (* (+ y t) a) (- (* z (+ x y)) (* b y)))
28.8b
(/ (+ (* (+ y t) a) (- (* z (+ x y)) (* b y))) (+ x (+ y t)))

rewrite231.0ms

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
8×flip3-+ add-cbrt-cube associate-*l/ frac-add add-exp-log flip-+
6×pow1 associate-/l/
5×associate-/r* flip3-- flip--
4×associate-+r+ associate-*r* associate--l+
3×distribute-rgt-in distribute-lft-in associate-*l* associate-/l*
2×associate-+r- sum-log sub-neg diff-log associate-*r/ 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 → 102
Calls
4 calls:
22.0ms
(* z (+ x y))
15.0ms
(- (* z (+ x y)) (* b y))
29.0ms
(+ (* (+ y t) a) (- (* z (+ x y)) (* b y)))
163.0ms
(/ (+ (* (+ y t) a) (- (* z (+ x y)) (* b y))) (+ x (+ y t)))

series435.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* z (+ x y))
55.0ms
(- (* z (+ x y)) (* b y))
139.0ms
(+ (* (+ y t) a) (- (* z (+ x y)) (* b y)))
195.0ms
(/ (+ (* (+ y t) a) (- (* z (+ x y)) (* b y))) (+ x (+ y t)))

simplify1.6s

Counts
114 → 114
Iterations
IterNodes
done5015
22369
1562
0183

prune1.0s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 8.7b

localize7.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune103.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 8.7b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (+ x (+ y t)))
1.6b
(- (* z (+ x y)) (* b y))
3.4b
(+ (* (+ y t) a) (- (* z (+ x y)) (* b y)))
28.9b
(* (+ (* (+ y t) a) (- (* z (+ x y)) (* b y))) (/ 1 (+ x (+ y t))))

rewrite300.0ms

Algorithm
rewrite-expression-head
Rules
60×*-un-lft-identity
32×times-frac
31×add-sqr-sqrt
24×add-cube-cbrt
21×associate-*r* distribute-lft-out
18×associate-*l/
17×add-exp-log
12×frac-add
11×flip3-+ add-cbrt-cube flip-+ add-log-exp
7×pow1 flip3-- flip--
6×frac-times
5×associate-/r*
4×associate-+r+ div-exp prod-exp associate--l+ associate-/r/
3×associate-*l* associate-/l* unswap-sqr
2×distribute-rgt-in cbrt-undiv rec-exp sum-log sub-neg distribute-lft-in diff-log 1-exp cbrt-unprod div-inv
1×+-commutative clear-num associate-+r- frac-2neg pow-prod-down associate-*r/ un-div-inv *-commutative pow-flip inv-pow
Counts
4 → 132
Calls
4 calls:
29.0ms
(/ 1 (+ x (+ y t)))
13.0ms
(- (* z (+ x y)) (* b y))
50.0ms
(+ (* (+ y t) a) (- (* z (+ x y)) (* b y)))
203.0ms
(* (+ (* (+ y t) a) (- (* z (+ x y)) (* b y))) (/ 1 (+ x (+ y t))))

series491.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(/ 1 (+ x (+ y t)))
49.0ms
(- (* z (+ x y)) (* b y))
141.0ms
(+ (* (+ y t) a) (- (* z (+ x y)) (* b y)))
233.0ms
(* (+ (* (+ y t) a) (- (* z (+ x y)) (* b y))) (/ 1 (+ x (+ y t))))

simplify2.1s

Counts
144 → 144
Iterations
IterNodes
done5008
22817
1650
0202

prune913.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 8.4b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (/ (+ x (+ y t)) (+ (* (+ y t) a) (- (* z (+ x y)) (* b y)))))
1.6b
(- (* z (+ x y)) (* b y))
3.4b
(+ (* (+ y t) a) (- (* z (+ x y)) (* b y)))
28.9b
(/ (+ x (+ y t)) (+ (* (+ y t) a) (- (* z (+ x y)) (* b y))))

rewrite263.0ms

Algorithm
rewrite-expression-head
Rules
156×*-un-lft-identity
150×times-frac
76×add-sqr-sqrt add-cube-cbrt
48×distribute-lft-out
31×associate-/r/
28×associate-/r*
24×associate-*l/ frac-add
19×flip3-+ flip-+
17×add-exp-log
13×flip3-- flip--
11×add-cbrt-cube add-log-exp
8×div-exp associate-/l*
6×div-inv
5×pow1
4×cbrt-undiv associate-+r+ associate--l+
2×distribute-rgt-in rec-exp clear-num sum-log sub-neg frac-2neg distribute-lft-in diff-log 1-exp associate-/l/
1×+-commutative associate-+r- pow-flip inv-pow
Counts
4 → 202
Calls
4 calls:
95.0ms
(/ 1 (/ (+ x (+ y t)) (+ (* (+ y t) a) (- (* z (+ x y)) (* b y)))))
19.0ms
(- (* z (+ x y)) (* b y))
38.0ms
(+ (* (+ y t) a) (- (* z (+ x y)) (* b y)))
101.0ms
(/ (+ x (+ y t)) (+ (* (+ y t) a) (- (* z (+ x y)) (* b y))))

series982.0ms

Counts
4 → 12
Calls
4 calls:
734.0ms
(/ 1 (/ (+ x (+ y t)) (+ (* (+ y t) a) (- (* z (+ x y)) (* b y)))))
40.0ms
(- (* z (+ x y)) (* b y))
114.0ms
(+ (* (+ y t) a) (- (* z (+ x y)) (* b y)))
93.0ms
(/ (+ x (+ y t)) (+ (* (+ y t) a) (- (* z (+ x y)) (* b y))))

simplify1.8s

Counts
214 → 214
Iterations
IterNodes
done5001
23195
1826
0283

prune927.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 5.9b

regimes885.0ms

Accuracy

46.2% (13.1b remaining)

Error of 17.6b against oracle of 4.5b and baseline of 28.8b

bsearch216.0ms

Steps
ItersRangePoint
9
2.765405219724019e-10
0.0021791553575483446
0.001960496957535617
7
-1.7297753294222952e-228
-9.948149925498048e-230
-1.6240202432231436e-228
9
-1.4890891523175618e-186
-1.4494631553024713e-191
-1.472184673179025e-191
9
-3.7581088066948003e+70
-3.856643246250264e+62
-1.1234055354039828e+66

simplify7.0ms

Iterations
IterNodes
done42
142
031

end0.0ms

sample1.2s

Algorithm
intervals
Results
923.0ms7997×body80valid
1.0ms2×body1280valid
0.0ms1×body640valid