Details

Time bar (total: 20.1s)

sample260.0ms

Algorithm
halfpoints

simplify4.0s

Counts
1 → 1
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
01624
13011
24611
38111
412311
519311
633711
762511
8104111
9157411
10178711
11192711
12194611
done194611

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.3b

localize49.0ms

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))
58.1b
(- (exp x) (exp (- x)))

rewrite86.0ms

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-exp-log add-cbrt-cube
9×prod-diff
8×pow1 add-log-exp
6×associate-*r*
4×expm1-log1p-u prod-exp cbrt-unprod 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 sub-neg flip3-- flip3-+ diff-log sum-log flip-- flip-+
Counts
4 → 122
Calls
4 calls:
28.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
6.0ms
(+ (exp x) (exp (- x)))
33.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
15.0ms
(- (exp x) (exp (- x)))

series197.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
22.0ms
(+ (exp x) (exp (- x)))
79.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
35.0ms
(- (exp x) (exp (- x)))

simplify803.0ms

Counts
134 → 134
Iterations

Useful iterations: 2 (250.0ms)

IterNodesCost
02321903
15711734
216471486
done50001486

prune436.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize60.0ms

Local error

Found 3 expressions with local error:

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

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
29×*-un-lft-identity associate-*l*
23×times-frac
21×add-cube-cbrt
13×add-exp-log add-cbrt-cube
7×pow1
6×associate-*r*
5×add-log-exp
4×prod-exp cbrt-unprod distribute-lft-out unswap-sqr
3×expm1-log1p-u fma-def log1p-expm1-u
2×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 88
Calls
3 calls:
25.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
5.0ms
(+ (exp x) (exp (- x)))
8.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0) (sin y))

series174.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
22.0ms
(+ (exp x) (exp (- x)))
90.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0) (sin y))

simplify2.0s

Counts
97 → 97
Iterations

Useful iterations: 3 (872.0ms)

IterNodesCost
01891578
14711554
213801353
346511347
done50001347

prune515.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y))
0.3b
(* (/ 1 (sqrt 2.0)) (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y)))
0.5b
(/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0))
1.0b
(/ 1 (sqrt 2.0))

rewrite54.0ms

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×expm1-log1p-u rec-exp 1-exp associate-*r* pow-prod-down associate-*l/ log1p-expm1-u div-inv add-log-exp
3×pow-flip unswap-sqr
2×frac-2neg clear-num *-commutative
1×frac-times sqrt-pow1 pow1/2 associate-*r/ inv-pow
Counts
4 → 188
Calls
4 calls:
12.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y))
28.0ms
(* (/ 1 (sqrt 2.0)) (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y)))
3.0ms
(/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0))
3.0ms
(/ 1 (sqrt 2.0))

series485.0ms

Counts
4 → 10
Calls
4 calls:
156.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y))
216.0ms
(* (/ 1 (sqrt 2.0)) (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y)))
113.0ms
(/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0))
0.0ms
(/ 1 (sqrt 2.0))

simplify1.2s

Counts
198 → 198
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02544584
16344231
219813621
done50013579

prune800.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize69.0ms

Local error

Found 4 expressions with local error:

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

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
276×add-exp-log
152×prod-exp
94×add-cbrt-cube
90×times-frac
84×sqrt-prod
80×div-exp
73×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
53×associate-*l*
44×cbrt-unprod
30×rec-exp 1-exp
24×cbrt-undiv
23×pow1
15×associate-/r*
12×associate-*r/
9×pow-prod-down
8×pow-flip
6×frac-times associate-/l*
5×sqrt-pow1
4×expm1-log1p-u associate-*l/ log1p-expm1-u div-inv add-log-exp
3×pow1/2
2×frac-2neg associate-*r* clear-num *-commutative inv-pow
Counts
4 → 282
Calls
4 calls:
34.0ms
(* (/ 1 (sqrt (sqrt 2.0))) (* (sin y) (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt (sqrt 2.0)))))
90.0ms
(* (/ 1 (sqrt 2.0)) (* (/ 1 (sqrt (sqrt 2.0))) (* (sin y) (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt (sqrt 2.0))))))
3.0ms
(/ 1 (sqrt 2.0))
4.0ms
(/ 1 (sqrt (sqrt 2.0)))

series559.0ms

Counts
4 → 8
Calls
4 calls:
247.0ms
(* (/ 1 (sqrt (sqrt 2.0))) (* (sin y) (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt (sqrt 2.0)))))
312.0ms
(* (/ 1 (sqrt 2.0)) (* (/ 1 (sqrt (sqrt 2.0))) (* (sin y) (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt (sqrt 2.0))))))
0.0ms
(/ 1 (sqrt 2.0))
0.0ms
(/ 1 (sqrt (sqrt 2.0)))

simplify1.2s

Counts
290 → 290
Iterations

Useful iterations: done (1.2s)

IterNodesCost
03547955
110246725
228994817
done50004447

prune838.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes100.0ms

Accuracy

0% (0.3b remaining)

Error of 0.7b against oracle of 0.4b and baseline of 0.7b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02531
12931
done2931

end0.0ms

sample6.1s

Algorithm
halfpoints