Details

Time bar (total: 26.6s)

sample509.0ms

Algorithm
halfpoints

simplify1.0s

Counts
1 → 1

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 41.6b

localize100.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.0b
(+ (exp x) (exp (- x)))
0.1b
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
58.2b
(- (exp x) (exp (- x)))

rewrite212.0ms

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-exp-log add-cbrt-cube
8×pow1 add-log-exp
6×associate-*r*
4×prod-exp cbrt-unprod 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 sub-neg flip3-- flip3-+ diff-log sum-log flip-- flip-+
Counts
4 → 99
Calls
4 calls:
91.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
19.0ms
(+ (exp x) (exp (- x)))
83.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
15.0ms
(- (exp x) (exp (- x)))

series286.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
39.0ms
(+ (exp x) (exp (- x)))
132.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
50.0ms
(- (exp x) (exp (- x)))

simplify739.0ms

Counts
111 → 111

prune690.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize90.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp x) (exp (- x)))
0.0b
(* 1/60 (pow x 5))
0.1b
(* 1/3 (pow x 3))
0.1b
(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) 2.0) (sin y))

rewrite234.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
22×associate-*r*
21×*-un-lft-identity
19×add-exp-log add-cube-cbrt associate-*l*
13×add-cbrt-cube
10×times-frac
9×unswap-sqr
8×unpow-prod-down prod-exp
6×pow1 add-log-exp
4×cube-prod cbrt-unprod sqr-pow
3×*-commutative
2×pow-to-exp pow-exp
1×cbrt-undiv +-commutative cube-mult flip3-+ unpow3 div-exp pow-prod-down associate-*l/ sum-log flip-+ div-inv distribute-lft-out
Counts
4 → 100
Calls
4 calls:
24.0ms
(+ (exp x) (exp (- x)))
19.0ms
(* 1/60 (pow x 5))
29.0ms
(* 1/3 (pow x 3))
156.0ms
(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) 2.0) (sin y))

series283.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(+ (exp x) (exp (- x)))
69.0ms
(* 1/60 (pow x 5))
54.0ms
(* 1/3 (pow x 3))
125.0ms
(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) 2.0) (sin y))

simplify998.0ms

Counts
112 → 112

prune730.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize109.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y))
0.3b
(* (/ 1 (sqrt 2.0)) (* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y)))
0.5b
(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0))
1.0b
(/ 1 (sqrt 2.0))

rewrite339.0ms

Algorithm
rewrite-expression-head
Rules
74×times-frac
69×add-sqr-sqrt
61×add-cube-cbrt *-un-lft-identity
54×add-exp-log
44×associate-*l*
43×sqrt-prod
34×add-cbrt-cube
22×prod-exp
14×div-exp
13×pow1
12×associate-/r* cbrt-unprod
8×cbrt-undiv
6×associate-/l*
4×rec-exp 1-exp associate-*r* pow-prod-down associate-*l/ div-inv add-log-exp
3×pow-flip unswap-sqr
2×frac-2neg clear-num *-commutative associate-/l/
1×frac-times sqrt-pow1 flip3-+ pow1/2 associate-*r/ flip-+ inv-pow
Counts
4 → 182
Calls
4 calls:
93.0ms
(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y))
126.0ms
(* (/ 1 (sqrt 2.0)) (* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y)))
98.0ms
(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0))
12.0ms
(/ 1 (sqrt 2.0))

series547.0ms

Counts
4 → 10
Calls
4 calls:
171.0ms
(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y))
241.0ms
(* (/ 1 (sqrt 2.0)) (* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y)))
135.0ms
(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0))
0.0ms
(/ 1 (sqrt 2.0))

simplify1.3s

Counts
192 → 192

prune1.0s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize75.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 1/3 (pow x 3))
0.3b
(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y))
0.3b
(* (pow 2.0 (- 1/2)) (* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y)))
0.5b
(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0))

rewrite304.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
40×add-exp-log
39×add-cube-cbrt *-un-lft-identity
38×times-frac
32×associate-*l*
22×sqrt-prod add-cbrt-cube
20×prod-exp
16×associate-*r*
8×cbrt-unprod
7×unpow-prod-down unswap-sqr
6×pow1 associate-*l/ associate-/r*
5×div-exp
4×pow-to-exp cube-prod pow-exp add-log-exp
3×cbrt-undiv *-commutative associate-/l* sqr-pow
2×neg-sub0 frac-times pow-neg div-inv associate-/l/ pow-sub
1×cube-mult frac-2neg flip3-+ unpow3 associate-*r/ pow-prod-down clear-num flip-+
Counts
4 → 147
Calls
4 calls:
15.0ms
(* 1/3 (pow x 3))
89.0ms
(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y))
97.0ms
(* (pow 2.0 (- 1/2)) (* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y)))
96.0ms
(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0))

series767.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(* 1/3 (pow x 3))
231.0ms
(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y))
301.0ms
(* (pow 2.0 (- 1/2)) (* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y)))
162.0ms
(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0))

simplify1.4s

Counts
159 → 159

prune1.3s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes152.0ms

Accuracy

0% (0.7b remaining)

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

bsearch0.0ms

simplify1.2s

end0.0ms

sample12.1s

Algorithm
halfpoints