Details

Time bar (total: 32.7s)

sample359.0ms

Algorithm
halfpoints

simplify5.6s

Counts
1 → 1
Iterations

Useful iterations: 1 (5.0ms)

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

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 41.8b

localize51.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
57.9b
(- (exp x) (exp (- x)))

rewrite98.0ms

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:
77.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
18.0ms
(- (exp x) (exp (- x)))

series526.0ms

Counts
2 → 6
Calls
2 calls:
481.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
45.0ms
(- (exp x) (exp (- x)))

simplify2.9s

Counts
74 → 74
Iterations

Useful iterations: done (2.9s)

IterNodesCost
01491156
13481004
2899843
33520788
done5000779

prune268.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize52.0ms

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))

rewrite37.0ms

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

series146.0ms

Counts
1 → 3
Calls
1 calls:
146.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0) (sin y))

simplify2.1s

Counts
37 → 37
Iterations

Useful iterations: 3 (661.0ms)

IterNodesCost
089831
1203824
2577710
32113708
done5001708

prune230.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize64.0ms

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))
0.3b
(* (/ 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))

rewrite189.0ms

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:
31.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y))
109.0ms
(* (/ 1 (sqrt 2.0)) (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y)))
12.0ms
(/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0))
21.0ms
(/ 1 (sqrt 2.0))

series714.0ms

Counts
4 → 10
Calls
4 calls:
220.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y))
305.0ms
(* (/ 1 (sqrt 2.0)) (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y)))
189.0ms
(/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0))
0.0ms
(/ 1 (sqrt 2.0))

simplify1.5s

Counts
198 → 198
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02544584
16014231
219843619
done50013595

prune988.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

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

rewrite249.0ms

Algorithm
rewrite-expression-head
Rules
220×sqrt-prod
164×times-frac
149×add-sqr-sqrt
118×*-un-lft-identity
115×add-cube-cbrt
80×associate-*l*
45×add-exp-log add-cbrt-cube
16×associate-*r*
15×cbrt-undiv div-exp associate-/r*
14×prod-exp cbrt-unprod
13×unswap-sqr
9×associate-/l*
8×pow1
5×div-inv
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
1×frac-times sqrt-undiv associate-*r/
Counts
4 → 280
Calls
4 calls:
151.0ms
(* (/ (sqrt 1) (sqrt (sqrt 2.0))) (/ (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y)) (sqrt (sqrt 2.0))))
53.0ms
(* (/ (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))
17.0ms
(/ (sqrt 1) (sqrt (sqrt 2.0)))

series674.0ms

Counts
4 → 10
Calls
4 calls:
296.0ms
(* (/ (sqrt 1) (sqrt (sqrt 2.0))) (/ (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y)) (sqrt (sqrt 2.0))))
233.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y))
145.0ms
(/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0))
0.0ms
(/ (sqrt 1) (sqrt (sqrt 2.0)))

simplify1.7s

Counts
290 → 290
Iterations

Useful iterations: done (1.7s)

IterNodesCost
03357931
18266959
227375978
done50025970

prune1.4s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes157.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01618
11818
done1818

end0.0ms

sample12.6s

Algorithm
halfpoints