Details

Time bar (total: 19.5s)

sample296.0ms

Algorithm
halfpoints

simplify4.1s

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01624
13011
24811
38311
412711
520011
637311
760811
8110511
9152111
10185511
11193911
12195911
done195911

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 46.2b

localize43.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
58.0b
(- (exp x) (exp (- x)))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
27×*-un-lft-identity
19×add-cube-cbrt associate-*l*
16×times-frac
9×prod-diff
7×add-exp-log add-cbrt-cube
4×pow1 distribute-lft-out-- add-log-exp difference-of-squares
3×fma-neg associate-*r*
2×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u unswap-sqr
1×cbrt-undiv sub-neg flip3-- diff-log div-exp pow-prod-down associate-*l/ *-commutative flip-- div-inv
Counts
2 → 68
Calls
2 calls:
54.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
16.0ms
(- (exp x) (exp (- x)))

series126.0ms

Counts
2 → 6
Calls
2 calls:
87.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
39.0ms
(- (exp x) (exp (- x)))

simplify1.8s

Counts
74 → 74
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01491156
13481004
2899843
33520788
done5000779

prune193.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 1 expressions with local error:

0.1b
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0) (sin y))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*l*
10×times-frac
9×add-cube-cbrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
3×pow1 associate-*r*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv expm1-log1p-u div-exp pow-prod-down associate-*l/ *-commutative log1p-expm1-u div-inv add-log-exp
Counts
1 → 34
Calls
1 calls:
17.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0) (sin y))

series91.0ms

Counts
1 → 3
Calls
1 calls:
91.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0) (sin y))

simplify1.2s

Counts
37 → 37
Iterations

Useful iterations: 3 (422.0ms)

IterNodesCost
089831
1203824
2577710
32113708
done5001708

prune151.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite96.0ms

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:
22.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y))
54.0ms
(* (/ 1 (sqrt 2.0)) (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y)))
6.0ms
(/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0))
7.0ms
(/ 1 (sqrt 2.0))

series500.0ms

Counts
4 → 10
Calls
4 calls:
163.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y))
214.0ms
(* (/ 1 (sqrt 2.0)) (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y)))
123.0ms
(/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0))
0.0ms
(/ 1 (sqrt 2.0))

simplify1.1s

Counts
198 → 198
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02544584
16014231
219843619
done50013595

prune603.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite283.0ms

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*
10×associate-*l/
9×pow-prod-down
8×pow-flip
6×frac-times associate-*r/ associate-/l*
5×sqrt-pow1
4×expm1-log1p-u 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:
67.0ms
(* (/ 1 (sqrt (sqrt 2.0))) (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt (sqrt 2.0))) (sin y)))
185.0ms
(* (/ 1 (sqrt 2.0)) (* (/ 1 (sqrt (sqrt 2.0))) (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt (sqrt 2.0))) (sin y))))
7.0ms
(/ 1 (sqrt 2.0))
9.0ms
(/ 1 (sqrt (sqrt 2.0)))

series386.0ms

Counts
4 → 8
Calls
4 calls:
159.0ms
(* (/ 1 (sqrt (sqrt 2.0))) (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt (sqrt 2.0))) (sin y)))
227.0ms
(* (/ 1 (sqrt 2.0)) (* (/ 1 (sqrt (sqrt 2.0))) (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt (sqrt 2.0))) (sin y))))
0.0ms
(/ 1 (sqrt 2.0))
0.0ms
(/ 1 (sqrt (sqrt 2.0)))

simplify1.5s

Counts
290 → 290
Iterations

Useful iterations: done (1.5s)

IterNodesCost
03387878
18046692
225894784
done50024591

prune596.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes81.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01618
11818
done1818

end0.0ms

sample6.1s

Algorithm
halfpoints