Details

Time bar (total: 9.7s)

sample281.0ms

Algorithm
halfpoints

simplify62.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0307
1477
2847
31317
42237
54667
611237
722447
850027

prune9.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 42.1b

Counts
2 → 1

localize35.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
58.1b
(- (exp x) (exp (- x)))

rewrite18.0ms

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:
10.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
6.0ms
(- (exp x) (exp (- x)))

series122.0ms

Counts
2 → 6
Calls
2 calls:
84.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
38.0ms
(- (exp x) (exp (- x)))

simplify39.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0351756
11061585
25001583

prune167.0ms

Filtered
74 candidates to 51 candidates (68.9%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New70474
Fresh000
Picked101
Done000
Total71475

Merged error: 0.1b

Counts
75 → 4

localize24.0ms

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))

rewrite8.0ms

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)))
6.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0) (sin y))

series154.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))
94.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0) (sin y))

simplify105.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0220482
1860418
24161415
35001415

prune179.0ms

Filtered
50 candidates to 39 candidates (78.0%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New44650
Fresh033
Picked011
Done000
Total441054

Merged error: 0.0b

Counts
54 → 10

localize27.0ms

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

rewrite35.0ms

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:
8.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y))
12.0ms
(* (/ 1 (sqrt 2.0)) (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y)))
4.0ms
(/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0))
4.0ms
(/ 1 (sqrt 2.0))

series635.0ms

Counts
4 → 10
Calls
4 calls:
291.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y))
221.0ms
(* (/ 1 (sqrt 2.0)) (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y)))
122.0ms
(/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0))
0.0ms
(/ 1 (sqrt 2.0))

simplify84.0ms

Algorithm
egg-herbie
Counts
198 → 198
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
06332261
132131931
250011821

prune518.0ms

Filtered
198 candidates to 118 candidates (59.6%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1953198
Fresh538
Picked011
Done011
Total2008208

Merged error: 0.0b

Counts
208 → 8

localize37.0ms

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

rewrite27.0ms

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-*l/ 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×neg-sub0 frac-times pow-neg *-commutative div-inv pow-sub
1×frac-2neg associate-*r/ pow-prod-down clear-num fma-udef sqr-pow
Counts
4 → 130
Calls
4 calls:
1.0ms
(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))
8.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y))
10.0ms
(* (pow 2.0 (- 1/2)) (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y)))
4.0ms
(/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0))

series558.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))
157.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y))
230.0ms
(* (pow 2.0 (- 1/2)) (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y)))
116.0ms
(/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0))

simplify80.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
05561797
125791601
250021595

prune437.0ms

Filtered
142 candidates to 96 candidates (67.6%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1420142
Fresh055
Picked011
Done022
Total1428150

Merged error: 0.0b

Counts
150 → 8

regimes81.0ms

Accuracy

0% (0.7b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0188
1188

end0.0ms

sample6.0s

Algorithm
halfpoints