Details

Time bar (total: 29.3s)

sample452.0ms

Algorithm
halfpoints

simplify2.0s

Counts
1 → 1
Iterations
IterNodes
92152
81713
71067
6419
5176
4113
380
248
130
016

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 42.4b

localize67.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (exp x) (* 1/2 (sin y)))
0.0b
(/ (* 1/2 (sin y)) (exp x))
42.3b
(- (* (exp x) (* 1/2 (sin y))) (/ (* 1/2 (sin y)) (exp x)))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
13×add-cbrt-cube
9×add-exp-log
8×pow1
6×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
5×add-log-exp
4×prod-exp cbrt-unprod
3×associate-/r* times-frac associate-*l* pow-prod-down insert-posit16
2×cbrt-undiv div-exp
1×clear-num sub-neg frac-2neg flip3-- diff-log associate-*r* *-commutative div-inv flip-- associate-/l*
Counts
3 → 54
Calls
3 calls:
21.0ms
(* (exp x) (* 1/2 (sin y)))
19.0ms
(/ (* 1/2 (sin y)) (exp x))
56.0ms
(- (* (exp x) (* 1/2 (sin y))) (/ (* 1/2 (sin y)) (exp x)))

series306.0ms

Counts
3 → 9
Calls
3 calls:
73.0ms
(* (exp x) (* 1/2 (sin y)))
64.0ms
(/ (* 1/2 (sin y)) (exp x))
168.0ms
(- (* (exp x) (* 1/2 (sin y))) (/ (* 1/2 (sin y)) (exp x)))

simplify1.4s

Counts
63 → 63
Iterations
IterNodes
33696
2953
1280
0105

prune1.0s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 28.1b

localize6.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
10
00

prune65.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 28.1b

localize97.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp x) (exp (- x)))
0.0b
(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
0.1b
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
58.1b
(- (exp x) (exp (- x)))

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
39×*-un-lft-identity
35×associate-*l*
29×times-frac
23×add-cube-cbrt
14×add-cbrt-cube add-exp-log
8×pow1 add-log-exp
6×associate-*r*
4×prod-exp cbrt-unprod insert-posit16 distribute-lft-out distribute-lft-out-- difference-of-squares unswap-sqr
2×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv
1×+-commutative sum-log sub-neg flip3-+ flip3-- diff-log flip-+ flip--
Counts
4 → 103
Calls
4 calls:
12.0ms
(+ (exp x) (exp (- x)))
49.0ms
(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
55.0ms
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
20.0ms
(- (exp x) (exp (- x)))

series290.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(+ (exp x) (exp (- x)))
87.0ms
(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
114.0ms
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
44.0ms
(- (exp x) (exp (- x)))

simplify2.2s

Counts
115 → 115
Iterations
IterNodes
34921
21612
1516
0200

prune1.7s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize153.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (+ 2 (* 1/3 (* x x))))
0.1b
(* 1/60 (pow x 5))
0.1b
(* (/ (+ (* x (+ 2 (* 1/3 (* x x)))) (* 1/60 (pow x 5))) 2) (sin y))
0.2b
(* 1/3 (* x x))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
22×associate-*l*
21×add-exp-log
18×*-un-lft-identity add-cbrt-cube add-cube-cbrt
14×associate-*r*
13×pow1
10×times-frac
9×prod-exp
7×cbrt-unprod unswap-sqr
5×pow-prod-down
4×unpow-prod-down *-commutative insert-posit16 add-log-exp
2×associate-*r/ sqr-pow
1×distribute-rgt-in pow-to-exp cbrt-undiv distribute-lft-in flip3-+ div-exp associate-*l/ pow-exp flip-+ div-inv
Counts
4 → 102
Calls
4 calls:
11.0ms
(* x (+ 2 (* 1/3 (* x x))))
10.0ms
(* 1/60 (pow x 5))
58.0ms
(* (/ (+ (* x (+ 2 (* 1/3 (* x x)))) (* 1/60 (pow x 5))) 2) (sin y))
26.0ms
(* 1/3 (* x x))

series332.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(* x (+ 2 (* 1/3 (* x x))))
63.0ms
(* 1/60 (pow x 5))
120.0ms
(* (/ (+ (* x (+ 2 (* 1/3 (* x x)))) (* 1/60 (pow x 5))) 2) (sin y))
38.0ms
(* 1/3 (* x x))

simplify4.1s

Counts
114 → 114
Iterations
IterNodes
38247
21757
1507
0195

prune2.1s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

regimes283.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
237
137
026

end0.0ms

sample12.5s

Algorithm
halfpoints