Details

Time bar (total: 15.3s)

sample62.0ms

Algorithm
intervals
Results
26.0ms256×body80valid

simplify3.2s

Counts
1 → 1
Iterations
IterNodes
done5001
64555
52129
4576
3183
271
132
016

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.7b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(* a (+ y t))
1.9b
(- (+ (* a (+ y t)) (* (+ y x) z)) (* b y))
2.4b
(+ (* a (+ y t)) (* (+ y x) z))
24.0b
(/ (- (+ (* a (+ y t)) (* (+ y x) z)) (* b y)) (+ x (+ y t)))

rewrite222.0ms

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×add-cbrt-cube add-exp-log
7×flip3-+ flip-+
6×pow1 associate-*r/
5×associate-/r*
4×associate-*r* associate-*l/ frac-add
3×associate-*l* associate-/l*
2×distribute-rgt-in associate-+l+ sum-log distribute-lft-in flip3-- diff-log associate-/r/ flip-- associate-/l/
1×cbrt-undiv +-commutative clear-num sub-neg frac-2neg div-sub div-exp pow-prod-down prod-exp associate--l+ *-commutative cbrt-unprod div-inv unswap-sqr
Counts
4 → 94
Calls
4 calls:
16.0ms
(* a (+ y t))
61.0ms
(- (+ (* a (+ y t)) (* (+ y x) z)) (* b y))
12.0ms
(+ (* a (+ y t)) (* (+ y x) z))
131.0ms
(/ (- (+ (* a (+ y t)) (* (+ y x) z)) (* b y)) (+ x (+ y t)))

series376.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* a (+ y t))
113.0ms
(- (+ (* a (+ y t)) (* (+ y x) z)) (* b y))
57.0ms
(+ (* a (+ y t)) (* (+ y x) z))
177.0ms
(/ (- (+ (* a (+ y t)) (* (+ y x) z)) (* b y)) (+ x (+ y t)))

simplify694.0ms

Counts
106 → 106
Iterations
IterNodes
done5002
22570
1567
0185

prune517.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 6.3b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ y t) a)
2.4b
(+ (* z (+ y x)) (* (+ y t) a))
9.4b
(/ y (/ (+ t (+ y x)) b))
21.7b
(/ (+ (* z (+ y x)) (* (+ y t) a)) (+ t (+ y x)))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
154×*-un-lft-identity
132×times-frac
74×add-sqr-sqrt
72×add-cube-cbrt
49×distribute-lft-out
24×associate-/r*
13×add-cbrt-cube add-exp-log
12×flip3-+ flip-+
10×associate-*l/
8×frac-add associate-*r/
6×pow1 div-inv associate-/l* add-log-exp associate-/l/
4×cbrt-undiv div-exp associate-*l*
3×associate-*r* associate-/r/
2×associate-+l+ clear-num frac-2neg
1×distribute-rgt-in +-commutative sum-log distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 175
Calls
4 calls:
16.0ms
(* (+ y t) a)
13.0ms
(+ (* z (+ y x)) (* (+ y t) a))
27.0ms
(/ y (/ (+ t (+ y x)) b))
58.0ms
(/ (+ (* z (+ y x)) (* (+ y t) a)) (+ t (+ y x)))

series454.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (+ y t) a)
57.0ms
(+ (* z (+ y x)) (* (+ y t) a))
152.0ms
(/ y (/ (+ t (+ y x)) b))
219.0ms
(/ (+ (* z (+ y x)) (* (+ y t) a)) (+ t (+ y x)))

simplify982.0ms

Counts
187 → 187
Iterations
IterNodes
done5000
24198
1824
0294

prune790.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 4.4b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ 1 (/ (+ t (+ y x)) b))
2.4b
(+ (* z (+ y x)) (* (+ y t) a))
9.5b
(* y (/ 1 (/ (+ t (+ y x)) b)))
21.7b
(/ (+ (* z (+ y x)) (* (+ y t) a)) (+ t (+ y x)))

rewrite178.0ms

Algorithm
rewrite-expression-head
Rules
245×*-un-lft-identity
240×times-frac
132×add-sqr-sqrt
118×add-cube-cbrt
75×distribute-lft-out
62×associate-*r*
36×add-exp-log
24×associate-/r*
20×add-cbrt-cube
15×div-exp
11×flip3-+ flip-+
10×div-inv
9×associate-*r/
8×associate-*l/ frac-add
7×pow1 cbrt-undiv prod-exp
6×associate-/l* add-log-exp associate-/l/
5×unswap-sqr
4×rec-exp 1-exp associate-/r/
3×associate-*l* cbrt-unprod
2×associate-+l+ clear-num frac-2neg
1×distribute-rgt-in +-commutative sum-log distribute-lft-in pow-prod-down un-div-inv *-commutative pow-flip inv-pow
Counts
4 → 251
Calls
4 calls:
29.0ms
(/ 1 (/ (+ t (+ y x)) b))
11.0ms
(+ (* z (+ y x)) (* (+ y t) a))
70.0ms
(* y (/ 1 (/ (+ t (+ y x)) b)))
57.0ms
(/ (+ (* z (+ y x)) (* (+ y t) a)) (+ t (+ y x)))

series556.0ms

Counts
4 → 12
Calls
4 calls:
131.0ms
(/ 1 (/ (+ t (+ y x)) b))
57.0ms
(+ (* z (+ y x)) (* (+ y t) a))
150.0ms
(* y (/ 1 (/ (+ t (+ y x)) b)))
217.0ms
(/ (+ (* z (+ y x)) (* (+ y t) a)) (+ t (+ y x)))

simplify1.1s

Counts
263 → 263
Iterations
IterNodes
done5001
24883
1994
0331

prune932.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 4.4b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (+ t (+ y x)))
1.9b
(- (+ (* a (+ y t)) (* (+ y x) z)) (* b y))
2.4b
(+ (* a (+ y t)) (* (+ y x) z))
24.1b
(* (- (+ (* a (+ y t)) (* (+ y x) z)) (* b y)) (/ 1 (+ t (+ y x))))

rewrite302.0ms

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
17×add-exp-log
11×add-cbrt-cube add-log-exp
7×pow1 flip3-+ flip-+
6×associate-*l/
5×associate-/r* associate-*r/
4×div-exp frac-add prod-exp associate-/r/
3×flip3-- associate-*l* flip-- associate-/l* unswap-sqr
2×frac-times cbrt-undiv rec-exp associate-+l+ sum-log diff-log 1-exp cbrt-unprod div-inv
1×distribute-rgt-in +-commutative clear-num sub-neg frac-2neg distribute-lft-in pow-prod-down associate--l+ un-div-inv *-commutative pow-flip inv-pow
Counts
4 → 120
Calls
4 calls:
23.0ms
(/ 1 (+ t (+ y x)))
57.0ms
(- (+ (* a (+ y t)) (* (+ y x) z)) (* b y))
11.0ms
(+ (* a (+ y t)) (* (+ y x) z))
206.0ms
(* (- (+ (* a (+ y t)) (* (+ y x) z)) (* b y)) (/ 1 (+ t (+ y x))))

series387.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(/ 1 (+ t (+ y x)))
106.0ms
(- (+ (* a (+ y t)) (* (+ y x) z)) (* b y))
56.0ms
(+ (* a (+ y t)) (* (+ y x) z))
165.0ms
(* (- (+ (* a (+ y t)) (* (+ y x) z)) (* b y)) (/ 1 (+ t (+ y x))))

simplify1.7s

Counts
132 → 132
Iterations
IterNodes
done5000
23925
1606
0197

prune479.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 4.4b

regimes644.0ms

Accuracy

37.1% (13.6b remaining)

Error of 16.6b against oracle of 3.0b and baseline of 24.6b

bsearch99.0ms

Steps
ItersRangePoint
6
5.838782166872343e+74
3.3766591458486677e+75
9.365956405334703e+74
9
-8.831205444333401e+160
-2.741256385400215e+155
-2.779578717410861e+155

simplify3.0ms

Iterations
IterNodes
done39
139
025

end0.0ms

sample1.3s

Algorithm
intervals
Results
892.0ms7996×body80valid
0.0ms2×body640valid
0.0ms1×body1280valid
0.0ms1×body320valid