Details

Time bar (total: 57.1s)

sample373.0ms

Algorithm
halfpoints

simplify11.1s

Counts
1 → 1
Iterations
IterNodes
92619
81786
71075
6423
5176
4112
378
246
130
016

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.0b

localize72.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
0.1b
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
58.0b
(- (exp x) (exp (- x)))

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
36×*-un-lft-identity
35×associate-*l*
29×times-frac
22×add-cube-cbrt
13×add-cbrt-cube add-exp-log
7×pow1
6×associate-*r*
5×add-log-exp
4×prod-exp cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
3×insert-posit16 distribute-lft-out
2×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv
1×sub-neg flip3-- diff-log flip--
Counts
3 → 90
Calls
3 calls:
53.0ms
(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
44.0ms
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
11.0ms
(- (exp x) (exp (- x)))

series285.0ms

Counts
3 → 9
Calls
3 calls:
91.0ms
(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
130.0ms
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
64.0ms
(- (exp x) (exp (- x)))

simplify4.4s

Counts
99 → 99
Iterations
IterNodes
35138
21569
1485
0187

prune1.4s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize96.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (pow x 5) 1/60)
0.1b
(* (/ (+ (* (pow x 5) 1/60) (* x (+ 2 (* x (* 1/3 x))))) 2) (sin y))
0.1b
(* x (* 1/3 x))
0.3b
(* 1/3 x)

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
26×associate-*l*
21×add-exp-log
18×*-un-lft-identity add-cbrt-cube add-cube-cbrt
13×pow1
10×times-frac associate-*r*
9×prod-exp
7×cbrt-unprod
6×unswap-sqr
5×pow-prod-down
4×unpow-prod-down *-commutative insert-posit16 add-log-exp
2×sqr-pow
1×pow-to-exp cbrt-undiv div-exp associate-*l/ pow-exp div-inv
Counts
4 → 97
Calls
4 calls:
9.0ms
(* (pow x 5) 1/60)
25.0ms
(* (/ (+ (* (pow x 5) 1/60) (* x (+ 2 (* x (* 1/3 x))))) 2) (sin y))
28.0ms
(* x (* 1/3 x))
18.0ms
(* 1/3 x)

series241.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(* (pow x 5) 1/60)
132.0ms
(* (/ (+ (* (pow x 5) 1/60) (* x (+ 2 (* x (* 1/3 x))))) 2) (sin y))
31.0ms
(* x (* 1/3 x))
20.0ms
(* 1/3 x)

simplify3.3s

Counts
109 → 109
Iterations
IterNodes
34819
21267
1402
0171

prune2.6s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize155.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 1/3 x)
0.4b
(* (/ 1 (sqrt 2)) (* (/ (+ (* (pow x 5) 1/60) (* x (+ 2 (* x (* 1/3 x))))) (sqrt 2)) (sin y)))
0.5b
(/ (+ (* (pow x 5) 1/60) (* x (+ 2 (* x (* 1/3 x))))) (sqrt 2))
1.0b
(/ 1 (sqrt 2))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
54×times-frac
51×add-sqr-sqrt add-exp-log
49×*-un-lft-identity add-cube-cbrt
33×sqrt-prod
31×add-cbrt-cube
25×associate-*l*
21×prod-exp
13×pow1 div-exp
12×associate-/r*
11×cbrt-unprod
7×cbrt-undiv
6×associate-/l*
4×rec-exp 1-exp associate-*r* pow-prod-down insert-posit16 add-log-exp
3×associate-*l/ div-inv pow-flip
2×clear-num frac-2neg *-commutative associate-/l/
1×frac-times sqrt-pow1 flip3-+ pow1/2 associate-*r/ flip-+ inv-pow unswap-sqr
Counts
4 → 162
Calls
4 calls:
5.0ms
(* 1/3 x)
66.0ms
(* (/ 1 (sqrt 2)) (* (/ (+ (* (pow x 5) 1/60) (* x (+ 2 (* x (* 1/3 x))))) (sqrt 2)) (sin y)))
42.0ms
(/ (+ (* (pow x 5) 1/60) (* x (+ 2 (* x (* 1/3 x))))) (sqrt 2))
5.0ms
(/ 1 (sqrt 2))

series541.0ms

Counts
4 → 10
Calls
4 calls:
17.0ms
(* 1/3 x)
342.0ms
(* (/ 1 (sqrt 2)) (* (/ (+ (* (pow x 5) 1/60) (* x (+ 2 (* x (* 1/3 x))))) (sqrt 2)) (sin y)))
182.0ms
(/ (+ (* (pow x 5) 1/60) (* x (+ 2 (* x (* 1/3 x))))) (sqrt 2))
0.0ms
(/ 1 (sqrt 2))

simplify996.0ms

Counts
172 → 172
Iterations
IterNodes
22141
1617
0245

prune3.7s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize137.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (/ (+ (* (pow x 5) 1/60) (* x (+ 2 (* x (* 1/3 x))))) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
0.3b
(* 1/3 x)
0.4b
(* (/ 1 (sqrt 2)) (* (/ (/ (+ (* (pow x 5) 1/60) (* x (+ 2 (* x (* 1/3 x))))) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (sin y)))
1.0b
(/ 1 (sqrt 2))

rewrite199.0ms

Algorithm
rewrite-expression-head
Rules
585×times-frac
579×sqrt-prod
322×add-sqr-sqrt
320×*-un-lft-identity add-cube-cbrt
75×add-exp-log
45×add-cbrt-cube
34×associate-/l*
29×prod-exp
25×div-exp associate-*l*
15×associate-/r* cbrt-unprod
14×cbrt-undiv
13×pow1 div-inv
5×rec-exp 1-exp
4×associate-*r* pow-prod-down insert-posit16 add-log-exp
3×associate-*l/ pow-flip
2×clear-num frac-2neg *-commutative
1×frac-times sqrt-pow1 pow1/2 associate-*r/ inv-pow unswap-sqr associate-/l/
Counts
4 → 461
Calls
4 calls:
67.0ms
(/ (/ (+ (* (pow x 5) 1/60) (* x (+ 2 (* x (* 1/3 x))))) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
11.0ms
(* 1/3 x)
88.0ms
(* (/ 1 (sqrt 2)) (* (/ (/ (+ (* (pow x 5) 1/60) (* x (+ 2 (* x (* 1/3 x))))) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (sin y)))
11.0ms
(/ 1 (sqrt 2))

series503.0ms

Counts
4 → 10
Calls
4 calls:
193.0ms
(/ (/ (+ (* (pow x 5) 1/60) (* x (+ 2 (* x (* 1/3 x))))) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
16.0ms
(* 1/3 x)
294.0ms
(* (/ 1 (sqrt 2)) (* (/ (/ (+ (* (pow x 5) 1/60) (* x (+ 2 (* x (* 1/3 x))))) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (sin y)))
0.0ms
(/ 1 (sqrt 2))

simplify2.5s

Counts
471 → 471
Iterations
IterNodes
23552
11346
0552

prune12.4s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes171.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
234
134
025

end0.0ms

sample11.6s

Algorithm
halfpoints