Details

Time bar (total: 18.7s)

sample51.0ms

Algorithm
intervals
Results
33.0ms256×body80valid

simplify3.5s

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.3b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(* a (+ y t))
2.3b
(+ (* a (+ y t)) (* (+ y x) z))
2.8b
(- (+ (* a (+ y t)) (* (+ y x) z)) (* b y))
28.1b
(/ (- (+ (* a (+ y t)) (* (+ y x) z)) (* b y)) (+ x (+ y t)))

rewrite246.0ms

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 insert-posit16
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 → 98
Calls
4 calls:
13.0ms
(* a (+ y t))
12.0ms
(+ (* a (+ y t)) (* (+ y x) z))
68.0ms
(- (+ (* a (+ y t)) (* (+ y x) z)) (* b y))
152.0ms
(/ (- (+ (* a (+ y t)) (* (+ y x) z)) (* b y)) (+ x (+ y t)))

series367.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* a (+ y t))
52.0ms
(+ (* a (+ y t)) (* (+ y x) z))
106.0ms
(- (+ (* a (+ y t)) (* (+ y x) z)) (* b y))
181.0ms
(/ (- (+ (* a (+ y t)) (* (+ y x) z)) (* b y)) (+ x (+ y t)))

simplify1.3s

Counts
110 → 110
Iterations
IterNodes
done5002
22471
1570
0189

prune688.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 8.1b

localize10.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune43.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 8.1b

localize42.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (/ (+ x (+ y t)) (- (+ (* a (+ y t)) (* (+ y x) z)) (* b y))))
2.3b
(+ (* a (+ y t)) (* (+ y x) z))
2.8b
(- (+ (* a (+ y t)) (* (+ y x) z)) (* b y))
28.2b
(/ (+ x (+ y t)) (- (+ (* a (+ y t)) (* (+ y x) z)) (* b y)))

rewrite266.0ms

Algorithm
rewrite-expression-head
Rules
152×*-un-lft-identity
138×times-frac
72×add-sqr-sqrt add-cube-cbrt
48×distribute-lft-out
24×associate-/r*
17×add-exp-log
11×add-cbrt-cube associate-/r/ add-log-exp
8×div-exp associate-/l*
6×flip3-+ flip3-- flip-+ div-inv flip--
5×pow1
4×cbrt-undiv associate-*l/ frac-add associate-*r/ insert-posit16
2×rec-exp associate-+l+ clear-num sum-log frac-2neg diff-log 1-exp associate-/l/
1×distribute-rgt-in +-commutative sub-neg distribute-lft-in associate--l+ pow-flip inv-pow
Counts
4 → 182
Calls
4 calls:
72.0ms
(/ 1 (/ (+ x (+ y t)) (- (+ (* a (+ y t)) (* (+ y x) z)) (* b y))))
12.0ms
(+ (* a (+ y t)) (* (+ y x) z))
52.0ms
(- (+ (* a (+ y t)) (* (+ y x) z)) (* b y))
125.0ms
(/ (+ x (+ y t)) (- (+ (* a (+ y t)) (* (+ y x) z)) (* b y)))

series1.1s

Counts
4 → 12
Calls
4 calls:
768.0ms
(/ 1 (/ (+ x (+ y t)) (- (+ (* a (+ y t)) (* (+ y x) z)) (* b y))))
75.0ms
(+ (* a (+ y t)) (* (+ y x) z))
138.0ms
(- (+ (* a (+ y t)) (* (+ y x) z)) (* b y))
102.0ms
(/ (+ x (+ y t)) (- (+ (* a (+ y t)) (* (+ y x) z)) (* b y)))

simplify1.9s

Counts
194 → 194
Iterations
IterNodes
done5002
24590
1781
0267

prune1.1s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 5.8b

localize41.0ms

Local error

Found 4 expressions with local error:

2.3b
(+ (* a (+ y t)) (* (+ y x) z))
2.8b
(- (+ (* a (+ y t)) (* (+ y x) z)) (* b y))
7.8b
(/ (- (+ (* a (+ y t)) (* (+ y x) z)) (* b y)) (cbrt (+ x (+ y t))))
20.3b
(* (/ 1 (* (cbrt (+ x (+ y t))) (cbrt (+ x (+ y t))))) (/ (- (+ (* a (+ y t)) (* (+ y x) z)) (* b y)) (cbrt (+ x (+ y t)))))

rewrite567.0ms

Algorithm
rewrite-expression-head
Rules
76×*-un-lft-identity
63×times-frac
59×add-sqr-sqrt
51×add-exp-log
38×cbrt-prod add-cube-cbrt
30×associate-*r*
21×distribute-lft-out
20×prod-exp
19×add-cbrt-cube
16×cbrt-div div-exp
15×associate-*l*
13×flip3-+ flip-+
12×associate-/r/
11×add-log-exp
9×unswap-sqr
8×cbrt-undiv associate-/r* cbrt-unprod
7×associate-*l/ associate-*r/
6×pow1
5×frac-times
4×rec-exp 1-exp frac-add insert-posit16
3×div-inv associate-/l*
2×associate-+l+ sum-log flip3-- diff-log flip-- associate-/l/
1×distribute-rgt-in +-commutative clear-num sub-neg frac-2neg distribute-lft-in div-sub pow-prod-down associate--l+ *-commutative
Counts
4 → 173
Calls
4 calls:
13.0ms
(+ (* a (+ y t)) (* (+ y x) z))
83.0ms
(- (+ (* a (+ y t)) (* (+ y x) z)) (* b y))
108.0ms
(/ (- (+ (* a (+ y t)) (* (+ y x) z)) (* b y)) (cbrt (+ x (+ y t))))
360.0ms
(* (/ 1 (* (cbrt (+ x (+ y t))) (cbrt (+ x (+ y t))))) (/ (- (+ (* a (+ y t)) (* (+ y x) z)) (* b y)) (cbrt (+ x (+ y t)))))

series2.9s

Counts
4 → 12
Calls
4 calls:
52.0ms
(+ (* a (+ y t)) (* (+ y x) z))
109.0ms
(- (+ (* a (+ y t)) (* (+ y x) z)) (* b y))
2.0s
(/ (- (+ (* a (+ y t)) (* (+ y x) z)) (* b y)) (cbrt (+ x (+ y t))))
774.0ms
(* (/ 1 (* (cbrt (+ x (+ y t))) (cbrt (+ x (+ y t))))) (/ (- (+ (* a (+ y t)) (* (+ y x) z)) (* b y)) (cbrt (+ x (+ y t)))))

simplify1.5s

Counts
185 → 185
Iterations
IterNodes
done5001
11091
0336

prune927.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 5.8b

regimes695.0ms

Accuracy

52.3% (11.4b remaining)

Error of 16.0b against oracle of 4.6b and baseline of 28.5b

bsearch122.0ms

Steps
ItersRangePoint
11
1.4783221126999938e+54
1.449336560724627e+77
2.3518001946314524e+68
8
-1.5199799577753938e+147
-8.18523145413159e+143
-8.350665119324792e+143

simplify4.0ms

Iterations
IterNodes
done34
134
023

end0.0ms

sample1.2s

Algorithm
intervals
Results
922.0ms7995×body80valid
1.0ms3×body640valid
0.0ms1×body320valid
0.0ms1×body160valid