Details

Time bar (total: 28.2s)

sample397.0ms

Algorithm
halfpoints

simplify1.2s

Counts
1 → 1
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
01624
13011
24811
38311
412811
524711
6103711
done500111

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.9b

localize91.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp x) (exp (- x)))
0.0b
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.1b
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
57.2b
(- (exp x) (exp (- x)))

rewrite233.0ms

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-exp-log add-cbrt-cube
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 sub-neg flip3-- flip3-+ diff-log sum-log flip-- flip-+
Counts
4 → 122
Calls
4 calls:
27.0ms
(+ (exp x) (exp (- x)))
89.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
70.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
39.0ms
(- (exp x) (exp (- x)))

series281.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(+ (exp x) (exp (- x)))
89.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
104.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
41.0ms
(- (exp x) (exp (- x)))

simplify2.2s

Counts
134 → 134
Iterations

Useful iterations: done (2.2s)

IterNodesCost
02321903
15911737
227831490
done50001430

prune766.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize112.0ms

Local error

Found 3 expressions with local error:

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

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
29×*-un-lft-identity associate-*l*
23×times-frac
21×add-cube-cbrt
13×add-exp-log add-cbrt-cube
7×pow1
6×associate-*r*
5×add-log-exp
4×prod-exp cbrt-unprod distribute-lft-out unswap-sqr
3×expm1-log1p-u fma-def log1p-expm1-u
2×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 88
Calls
3 calls:
26.0ms
(+ (exp x) (exp (- x)))
97.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
20.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0) (sin y))

series247.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(+ (exp x) (exp (- x)))
85.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
137.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0) (sin y))

simplify1.4s

Counts
97 → 97
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01891578
14801554
222831353
done50011349

prune739.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize74.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp x) (exp (- x)))
0.0b
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.0b
(/ 2.0 (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))))
0.2b
(/ (sin y) (/ 2.0 (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))))

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
97×times-frac
72×*-un-lft-identity
69×add-sqr-sqrt
64×add-cube-cbrt
16×add-exp-log associate-*l* associate-/r* add-cbrt-cube
7×div-inv
6×pow1 associate-/l* add-log-exp
5×cbrt-undiv div-exp
4×expm1-log1p-u log1p-expm1-u distribute-lft-out
3×fma-def associate-*r*
2×frac-2neg prod-exp clear-num cbrt-unprod unswap-sqr
1×+-commutative flip3-+ pow-prod-down associate-*l/ sum-log associate-/r/ *-commutative flip-+
Counts
4 → 155
Calls
4 calls:
14.0ms
(+ (exp x) (exp (- x)))
87.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
5.0ms
(/ 2.0 (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))))
13.0ms
(/ (sin y) (/ 2.0 (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))))

series488.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(+ (exp x) (exp (- x)))
88.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
106.0ms
(/ 2.0 (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))))
260.0ms
(/ (sin y) (/ 2.0 (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))))

simplify2.5s

Counts
167 → 167
Iterations

Useful iterations: done (2.4s)

IterNodesCost
03063922
17813838
242963549
done50003545

prune1.5s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize130.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (sin y) (* 0.16666666666666666 (pow x 3)) (* (sin y) (fma x 1.0 (* 0.008333333333333333 (pow x 5)))))
0.0b
(* 0.008333333333333333 (pow x 5))
0.1b
(* 0.16666666666666666 (pow x 3))
0.1b
(* (sin y) (fma x 1.0 (* 0.008333333333333333 (pow x 5))))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
22×associate-*r*
16×add-exp-log
13×add-cube-cbrt *-un-lft-identity
10×add-cbrt-cube
9×associate-*l*
8×unpow-prod-down unswap-sqr
7×prod-exp
6×pow1
4×expm1-log1p-u cube-prod log1p-expm1-u add-log-exp sqr-pow
3×*-commutative cbrt-unprod fma-udef
2×pow-to-exp pow-exp
1×distribute-rgt-in cube-mult distribute-lft-in unpow3 pow-prod-down
Counts
4 → 92
Calls
4 calls:
1.0ms
(fma (sin y) (* 0.16666666666666666 (pow x 3)) (* (sin y) (fma x 1.0 (* 0.008333333333333333 (pow x 5)))))
27.0ms
(* 0.008333333333333333 (pow x 5))
28.0ms
(* 0.16666666666666666 (pow x 3))
19.0ms
(* (sin y) (fma x 1.0 (* 0.008333333333333333 (pow x 5))))

series810.0ms

Counts
4 → 12
Calls
4 calls:
284.0ms
(fma (sin y) (* 0.16666666666666666 (pow x 3)) (* (sin y) (fma x 1.0 (* 0.008333333333333333 (pow x 5)))))
84.0ms
(* 0.008333333333333333 (pow x 5))
59.0ms
(* 0.16666666666666666 (pow x 3))
383.0ms
(* (sin y) (fma x 1.0 (* 0.008333333333333333 (pow x 5))))

simplify1.2s

Counts
104 → 104
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01591174
13671109
21518969
done5001947

prune768.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes222.0ms

Accuracy

0% (0.7b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02734
13432
done3432

end0.0ms

sample12.6s

Algorithm
halfpoints