Details

Time bar (total: 30.1s)

sample378.0ms

Algorithm
halfpoints

simplify1.1s

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01624
13011
24811
38311
412811
524711
6102511
done500011

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.5b

localize92.0ms

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))
57.8b
(- (exp x) (exp (- x)))

rewrite181.0ms

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-cbrt-cube add-exp-log
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 sum-log sub-neg flip3-+ flip3-- diff-log flip-+ flip--
Counts
4 → 122
Calls
4 calls:
45.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
11.0ms
(+ (exp x) (exp (- x)))
91.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
26.0ms
(- (exp x) (exp (- x)))

series294.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
35.0ms
(+ (exp x) (exp (- x)))
109.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
65.0ms
(- (exp x) (exp (- x)))

simplify1.9s

Counts
134 → 134
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02311903
15821737
228151494
done50001434

prune1.0s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize115.0ms

Local error

Found 4 expressions with local error:

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

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
18×*-un-lft-identity
16×associate-*l* add-cube-cbrt
14×add-exp-log
11×add-cbrt-cube
10×times-frac associate-*r*
6×pow1 add-log-exp
5×prod-exp unswap-sqr
4×expm1-log1p-u unpow-prod-down log1p-expm1-u
3×fma-def cbrt-unprod
2×*-commutative sqr-pow
1×pow-to-exp cbrt-undiv +-commutative sum-log flip3-+ div-exp pow-prod-down associate-*l/ pow-exp flip-+ fma-udef div-inv distribute-lft-out
Counts
4 → 88
Calls
4 calls:
20.0ms
(+ (exp x) (exp (- x)))
18.0ms
(* 1/60 (pow x 5))
27.0ms
(* (/ (fma 2 x (fma 1/3 (pow x 3) (* 1/60 (pow x 5)))) 2.0) (sin y))
1.0ms
(fma 1/3 (pow x 3) (* 1/60 (pow x 5)))

series503.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(+ (exp x) (exp (- x)))
103.0ms
(* 1/60 (pow x 5))
137.0ms
(* (/ (fma 2 x (fma 1/3 (pow x 3) (* 1/60 (pow x 5)))) 2.0) (sin y))
231.0ms
(fma 1/3 (pow x 3) (* 1/60 (pow x 5)))

simplify914.0ms

Counts
100 → 100
Iterations

Useful iterations: done (912.0ms)

IterNodesCost
01821405
14211358
217541197
done50011193

prune997.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize108.0ms

Local error

Found 4 expressions with local error:

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

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
74×times-frac
69×add-sqr-sqrt
61×*-un-lft-identity add-cube-cbrt
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×clear-num frac-2neg *-commutative
1×frac-times sqrt-pow1 pow1/2 associate-*r/ inv-pow
Counts
4 → 188
Calls
4 calls:
21.0ms
(* (/ (fma 2 x (fma 1/3 (pow x 3) (* 1/60 (pow x 5)))) (sqrt 2.0)) (sin y))
49.0ms
(* (/ 1 (sqrt 2.0)) (* (/ (fma 2 x (fma 1/3 (pow x 3) (* 1/60 (pow x 5)))) (sqrt 2.0)) (sin y)))
5.0ms
(/ (fma 2 x (fma 1/3 (pow x 3) (* 1/60 (pow x 5)))) (sqrt 2.0))
6.0ms
(/ 1 (sqrt 2.0))

series657.0ms

Counts
4 → 10
Calls
4 calls:
197.0ms
(* (/ (fma 2 x (fma 1/3 (pow x 3) (* 1/60 (pow x 5)))) (sqrt 2.0)) (sin y))
278.0ms
(* (/ 1 (sqrt 2.0)) (* (/ (fma 2 x (fma 1/3 (pow x 3) (* 1/60 (pow x 5)))) (sqrt 2.0)) (sin y)))
181.0ms
(/ (fma 2 x (fma 1/3 (pow x 3) (* 1/60 (pow x 5)))) (sqrt 2.0))
0.0ms
(/ 1 (sqrt 2.0))

simplify2.9s

Counts
198 → 198
Iterations

Useful iterations: done (2.9s)

IterNodesCost
02524584
16594327
238933774
done50003760

prune1.6s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize103.0ms

Local error

Found 4 expressions with local error:

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

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
44×times-frac
38×*-un-lft-identity add-cube-cbrt
32×associate-*l*
31×add-exp-log
22×add-cbrt-cube sqrt-prod
17×pow1
10×prod-exp
8×cbrt-unprod
7×cbrt-prod associate-/r* div-exp
6×associate-/l*
5×cbrt-undiv pow-prod-down pow-flip
4×expm1-log1p-u associate-*r* associate-*l/ log1p-expm1-u div-inv add-log-exp
3×unswap-sqr
2×rec-exp cbrt-div clear-num frac-2neg 1-exp *-commutative pow-prod-up
1×frac-times sqrt-pow1 pow1/2 pow3 associate-*r/ inv-pow
Counts
4 → 150
Calls
4 calls:
19.0ms
(* (/ (fma 2 x (fma 1/3 (pow x 3) (* 1/60 (pow x 5)))) (sqrt 2.0)) (sin y))
40.0ms
(* (cbrt (/ 1 (* 2.0 (sqrt 2.0)))) (* (/ (fma 2 x (fma 1/3 (pow x 3) (* 1/60 (pow x 5)))) (sqrt 2.0)) (sin y)))
20.0ms
(/ (fma 2 x (fma 1/3 (pow x 3) (* 1/60 (pow x 5)))) (sqrt 2.0))
15.0ms
(/ 1 (* 2.0 (sqrt 2.0)))

series1.2s

Counts
4 → 10
Calls
4 calls:
201.0ms
(* (/ (fma 2 x (fma 1/3 (pow x 3) (* 1/60 (pow x 5)))) (sqrt 2.0)) (sin y))
808.0ms
(* (cbrt (/ 1 (* 2.0 (sqrt 2.0)))) (* (/ (fma 2 x (fma 1/3 (pow x 3) (* 1/60 (pow x 5)))) (sqrt 2.0)) (sin y)))
161.0ms
(/ (fma 2 x (fma 1/3 (pow x 3) (* 1/60 (pow x 5)))) (sqrt 2.0))
0.0ms
(/ 1 (* 2.0 (sqrt 2.0)))

simplify1.3s

Counts
160 → 160
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02593772
16273626
229593269
done50003265

prune1.5s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes245.0ms

Accuracy

0% (0.8b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02531
12931
done2931

end0.0ms

sample12.7s

Algorithm
halfpoints