Details

Time bar (total: 59.7s)

sample590.0ms

Algorithm
halfpoints

simplify10.6s

Counts
1 → 1
Iterations
IterNodes
done5001
83108
71340
6477
5194
4121
379
248
130
016

prune33.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 44.2b

localize257.0ms

Local error

Found 4 expressions with local error:

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

rewrite480.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
47×*-un-lft-identity
35×associate-*l*
31×add-cube-cbrt
29×times-frac
14×add-cbrt-cube add-exp-log
9×prod-diff
8×pow1 add-log-exp
6×associate-*r*
4×expm1-log1p-u prod-exp cbrt-unprod insert-posit16 log1p-expm1-u distribute-lft-out distribute-lft-out-- difference-of-squares unswap-sqr
3×fma-def fma-neg
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 → 126
Calls
4 calls:
34.0ms
(+ (exp x) (exp (- x)))
224.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
156.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
49.0ms
(- (exp x) (exp (- x)))

series463.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(+ (exp x) (exp (- x)))
155.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
182.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
88.0ms
(- (exp x) (exp (- x)))

simplify4.7s

Counts
138 → 138
Iterations
IterNodes
done5000
21921
1584
0235

prune2.0s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize327.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma 1/60 (pow x 5) (* x (+ (* 1/3 (* x x)) 2)))
0.0b
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.1b
(* (/ (fma 1/60 (pow x 5) (* x (+ (* 1/3 (* x x)) 2))) 2.0) (sin y))
0.2b
(* 1/3 (* x x))

rewrite284.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
32×associate-*l*
28×*-un-lft-identity
23×times-frac
22×add-cube-cbrt
19×add-cbrt-cube add-exp-log
13×pow1
7×associate-*r* prod-exp cbrt-unprod
5×pow-prod-down unswap-sqr
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×*-commutative distribute-lft-out
2×cbrt-undiv div-exp associate-*l/ div-inv
1×fma-udef
Counts
4 → 106
Calls
4 calls:
1.0ms
(fma 1/60 (pow x 5) (* x (+ (* 1/3 (* x x)) 2)))
162.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
61.0ms
(* (/ (fma 1/60 (pow x 5) (* x (+ (* 1/3 (* x x)) 2))) 2.0) (sin y))
48.0ms
(* 1/3 (* x x))

series525.0ms

Counts
4 → 12
Calls
4 calls:
127.0ms
(fma 1/60 (pow x 5) (* x (+ (* 1/3 (* x x)) 2)))
146.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
204.0ms
(* (/ (fma 1/60 (pow x 5) (* x (+ (* 1/3 (* x x)) 2))) 2.0) (sin y))
48.0ms
(* 1/3 (* x x))

simplify4.4s

Counts
118 → 118
Iterations
IterNodes
done5000
21707
1523
0211

prune1.8s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize286.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp x) (exp (- x)))
0.0b
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.3b
(/ (sin y) (/ 2.0 (fma (pow x 5) 1/60 (* x (fma (* 1/3 x) x 2)))))
0.3b
(* 1/3 x)

rewrite300.0ms

Algorithm
rewrite-expression-head
Rules
88×times-frac
66×*-un-lft-identity
65×add-sqr-sqrt
58×add-cube-cbrt
19×associate-*l*
16×add-cbrt-cube add-exp-log
13×associate-/r*
8×pow1
6×associate-*r* div-inv add-log-exp
4×expm1-log1p-u cbrt-undiv div-exp insert-posit16 log1p-expm1-u distribute-lft-out
3×fma-def prod-exp cbrt-unprod associate-/l* unswap-sqr
2×pow-prod-down *-commutative
1×+-commutative clear-num sum-log frac-2neg flip3-+ associate-*l/ associate-/r/ flip-+
Counts
4 → 150
Calls
4 calls:
29.0ms
(+ (exp x) (exp (- x)))
184.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
55.0ms
(/ (sin y) (/ 2.0 (fma (pow x 5) 1/60 (* x (fma (* 1/3 x) x 2)))))
20.0ms
(* 1/3 x)

series584.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(+ (exp x) (exp (- x)))
138.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
374.0ms
(/ (sin y) (/ 2.0 (fma (pow x 5) 1/60 (* x (fma (* 1/3 x) x 2)))))
32.0ms
(* 1/3 x)

simplify5.4s

Counts
162 → 162
Iterations
IterNodes
done5001
22633
1763
0307

prune2.6s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize337.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 1/3 x)
0.4b
(/ (* (fma (pow x 5) 1/60 (* x (fma (* 1/3 x) x 2))) (sin y)) (sqrt 2.0))
0.4b
(* (/ 1 (sqrt 2.0)) (/ (* (fma (pow x 5) 1/60 (* x (fma (* 1/3 x) x 2))) (sin y)) (sqrt 2.0)))
1.0b
(/ 1 (sqrt 2.0))

rewrite176.0ms

Algorithm
rewrite-expression-head
Rules
55×add-sqr-sqrt
54×add-exp-log
52×times-frac
43×*-un-lft-identity
41×add-cube-cbrt
34×add-cbrt-cube
32×sqrt-prod
25×associate-*l*
18×div-exp prod-exp
13×associate-*r*
12×associate-/r*
10×pow1 cbrt-undiv cbrt-unprod
6×unswap-sqr
4×expm1-log1p-u rec-exp 1-exp insert-posit16 log1p-expm1-u div-inv associate-/l* add-log-exp
3×pow-flip
2×clear-num frac-2neg pow-prod-down *-commutative
1×frac-times sqrt-pow1 pow1/2 associate-*l/ associate-*r/ inv-pow
Counts
4 → 169
Calls
4 calls:
15.0ms
(* 1/3 x)
28.0ms
(/ (* (fma (pow x 5) 1/60 (* x (fma (* 1/3 x) x 2))) (sin y)) (sqrt 2.0))
93.0ms
(* (/ 1 (sqrt 2.0)) (/ (* (fma (pow x 5) 1/60 (* x (fma (* 1/3 x) x 2))) (sin y)) (sqrt 2.0)))
13.0ms
(/ 1 (sqrt 2.0))

series743.0ms

Counts
4 → 10
Calls
4 calls:
31.0ms
(* 1/3 x)
318.0ms
(/ (* (fma (pow x 5) 1/60 (* x (fma (* 1/3 x) x 2))) (sin y)) (sqrt 2.0))
394.0ms
(* (/ 1 (sqrt 2.0)) (/ (* (fma (pow x 5) 1/60 (* x (fma (* 1/3 x) x 2))) (sin y)) (sqrt 2.0)))
0.0ms
(/ 1 (sqrt 2.0))

simplify5.2s

Counts
179 → 179
Iterations
IterNodes
done5000
21976
1658
0253

prune2.4s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes536.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify23.0ms

Iterations
IterNodes
done31
131
025

end0.0ms

sample14.6s

Algorithm
halfpoints