Details

Time bar (total: 31.8s)

sample424.0ms

Algorithm
halfpoints

simplify6.2s

Counts
1 → 1
Iterations

Useful iterations: 1 (5.0ms)

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.9b

localize77.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
59.0b
(- (exp x) (exp (- x)))

rewrite101.0ms

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:
78.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
21.0ms
(- (exp x) (exp (- x)))

series156.0ms

Counts
2 → 6
Calls
2 calls:
102.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
54.0ms
(- (exp x) (exp (- x)))

simplify3.3s

Counts
74 → 74
Iterations

Useful iterations: done (3.3s)

IterNodesCost
01491156
13481004
2899843
33520788
done5000779

prune314.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize68.0ms

Local error

Found 2 expressions with local error:

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

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*l*
10×add-cube-cbrt *-un-lft-identity times-frac
7×add-exp-log add-cbrt-cube
4×pow1
3×associate-*r*
2×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative fma-udef div-inv
Counts
2 → 44
Calls
2 calls:
1.0ms
(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))
38.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0) (sin y))

series220.0ms

Counts
2 → 6
Calls
2 calls:
76.0ms
(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))
144.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0) (sin y))

simplify2.4s

Counts
50 → 50
Iterations

Useful iterations: 3 (985.0ms)

IterNodesCost
0991049
12191036
2695896
33306894
done5000894

prune270.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize58.0ms

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

rewrite131.0ms

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:
26.0ms
(* (/ (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)))
7.0ms
(/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0))
12.0ms
(/ 1 (sqrt 2.0))

series662.0ms

Counts
4 → 10
Calls
4 calls:
212.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y))
296.0ms
(* (/ 1 (sqrt 2.0)) (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y)))
154.0ms
(/ (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

prune907.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))
0.2b
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y))
0.3b
(* (pow 2.0 -1/2) (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y)))
0.4b
(/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0))

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
38×times-frac
35×add-exp-log add-cube-cbrt *-un-lft-identity
29×associate-*l*
22×sqrt-prod
20×add-cbrt-cube
17×prod-exp
7×cbrt-unprod
6×pow1 associate-/r*
5×div-exp
4×expm1-log1p-u associate-*r* log1p-expm1-u add-log-exp
3×cbrt-undiv pow-to-exp unpow-prod-down pow-exp associate-/l* unswap-sqr
2×associate-*l/ *-commutative div-inv
1×frac-2neg associate-*r/ pow-prod-down clear-num fma-udef sqr-pow
Counts
4 → 126
Calls
4 calls:
1.0ms
(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))
40.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y))
48.0ms
(* (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))

series774.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))
207.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y))
335.0ms
(* (pow 2.0 -1/2) (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y)))
168.0ms
(/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0))

simplify1.2s

Counts
138 → 138
Iterations

Useful iterations: 2 (308.0ms)

IterNodesCost
02203590
15203486
217883132
done50013132

prune870.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes143.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01618
11818
done1818

end0.0ms

sample12.0s

Algorithm
halfpoints