Details

Time bar (total: 30.8s)

sample502.0ms

Algorithm
halfpoints

simplify5.8s

Counts
1 → 1
Iterations

Useful iterations: 1 (5.0ms)

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.2b

localize78.0ms

Local error

Found 2 expressions with local error:

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

rewrite130.0ms

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:
90.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
35.0ms
(- (exp x) (exp (- x)))

series177.0ms

Counts
2 → 6
Calls
2 calls:
129.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
47.0ms
(- (exp x) (exp (- x)))

simplify3.2s

Counts
74 → 74
Iterations

Useful iterations: done (3.2s)

IterNodesCost
01491156
13481004
2899843
33520788
done5000779

prune307.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize40.0ms

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))

rewrite22.0ms

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:
21.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0) (sin y))

series115.0ms

Counts
1 → 3
Calls
1 calls:
115.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0) (sin y))

simplify1.7s

Counts
37 → 37
Iterations

Useful iterations: 3 (606.0ms)

IterNodesCost
089831
1203824
2577710
32113708
done5001708

prune238.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize48.0ms

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

rewrite150.0ms

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:
34.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y))
77.0ms
(* (/ 1 (sqrt 2.0)) (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y)))
11.0ms
(/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0))
12.0ms
(/ 1 (sqrt 2.0))

series774.0ms

Counts
4 → 10
Calls
4 calls:
257.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y))
345.0ms
(* (/ 1 (sqrt 2.0)) (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y)))
171.0ms
(/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0))
0.0ms
(/ 1 (sqrt 2.0))

simplify1.4s

Counts
198 → 198
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02544584
16014231
219843619
done50013595

prune885.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize57.0ms

Local error

Found 3 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
(* (pow 2.0 -1/2) (* (/ (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))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
38×times-frac
34×add-exp-log add-cube-cbrt *-un-lft-identity
29×associate-*l*
22×sqrt-prod
19×add-cbrt-cube
17×prod-exp
7×cbrt-unprod
6×associate-/r*
5×pow1 div-exp
4×associate-*r*
3×cbrt-undiv expm1-log1p-u pow-to-exp unpow-prod-down pow-exp log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×associate-*l/ *-commutative div-inv
1×frac-2neg associate-*r/ pow-prod-down clear-num sqr-pow
Counts
3 → 116
Calls
3 calls:
29.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y))
66.0ms
(* (pow 2.0 -1/2) (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y)))
14.0ms
(/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0))

series732.0ms

Counts
3 → 9
Calls
3 calls:
239.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y))
305.0ms
(* (pow 2.0 -1/2) (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y)))
187.0ms
(/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0))

simplify1.4s

Counts
125 → 125
Iterations

Useful iterations: 2 (350.0ms)

IterNodesCost
02113372
15063274
216522946
done50002946

prune638.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes106.0ms

Accuracy

0% (0.7b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01618
11818
done1818

end0.0ms

sample12.1s

Algorithm
halfpoints