Details

Time bar (total: 11.7s)

sample292.0ms

Algorithm
halfpoints

simplify61.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0307
1477
2847
31317
42237
54667
611237
722447
850027

prune5.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 44.2b

Counts
2 → 1

localize36.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
57.5b
(- (exp x) (exp (- x)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
31×*-un-lft-identity
21×add-cube-cbrt
19×associate-*l*
16×times-frac
13×associate-*l/
9×prod-diff
7×add-exp-log add-cbrt-cube
5×associate-/l* distribute-lft-out-- difference-of-squares
4×pow1 add-log-exp
3×fma-neg associate-*r* associate-/r*
2×expm1-log1p-u flip3-- prod-exp flip-- cbrt-unprod log1p-expm1-u associate-/l/ unswap-sqr
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp pow-prod-down clear-num *-commutative div-inv
Counts
2 → 80
Calls
2 calls:
13.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
9.0ms
(- (exp x) (exp (- x)))

series124.0ms

Counts
2 → 6
Calls
2 calls:
86.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
38.0ms
(- (exp x) (exp (- x)))

simplify45.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0379836
11480665
25001661

prune187.0ms

Filtered
86 candidates to 60 candidates (30.2%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New82486
Fresh000
Picked101
Done000
Total83487

Merged error: 0.1b

Counts
87 → 4

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma 1/60 (pow x 5) (* 2 x))
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))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity associate-*l*
10×times-frac
9×associate-*l/
8×add-exp-log add-cbrt-cube
5×pow1
3×expm1-log1p-u associate-*r* associate-/r* log1p-expm1-u associate-/l* add-log-exp
2×prod-exp cbrt-unprod fma-udef unswap-sqr
1×cbrt-undiv frac-2neg div-exp pow-prod-down clear-num *-commutative div-inv
Counts
3 → 62
Calls
3 calls:
1.0ms
(fma 1/60 (pow x 5) (* 2 x))
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))) 2.0) (sin y))

series281.0ms

Counts
3 → 9
Calls
3 calls:
129.0ms
(fma 1/60 (pow x 5) (* 2 x))
57.0ms
(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))
95.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0) (sin y))

simplify37.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0249600
11195529
25001529

prune210.0ms

Filtered
71 candidates to 55 candidates (22.5%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New65671
Fresh033
Picked011
Done000
Total651075

Merged error: 0.0b

Counts
75 → 10

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
56×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
19×associate-/r*
11×add-exp-log add-cbrt-cube
9×associate-/r/ associate-/l*
6×div-inv
4×pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
3×frac-2neg clear-num
2×fma-udef
Counts
4 → 129
Calls
4 calls:
3.0ms
(/ 2.0 (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))))
1.0ms
(fma 1/60 (pow x 5) (* 2 x))
1.0ms
(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))
7.0ms
(/ (sin y) (/ 2.0 (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))))

series462.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(/ 2.0 (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))))
124.0ms
(fma 1/60 (pow x 5) (* 2 x))
61.0ms
(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))
183.0ms
(/ (sin y) (/ 2.0 (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))))

simplify72.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
04811687
122191584
250031581

prune409.0ms

Filtered
141 candidates to 114 candidates (19.1%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1374141
Fresh538
Picked011
Done011
Total1429151

Merged error: 0.0b

Counts
151 → 9

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
1698×times-frac
827×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
651×sqrt-prod
228×associate-/r*
91×associate-/r/
39×div-inv
33×associate-/l*
20×add-exp-log add-cbrt-cube
10×cbrt-undiv div-exp
9×frac-2neg clear-num
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
1×fma-udef
Counts
4 → 883
Calls
4 calls:
1.0ms
(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))
36.0ms
(/ (sin y) (/ (sqrt 2.0) (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0))))
4.0ms
(/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0))
11.0ms
(/ (sqrt 2.0) (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)))

series693.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))
331.0ms
(/ (sin y) (/ (sqrt 2.0) (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0))))
122.0ms
(/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0))
176.0ms
(/ (sqrt 2.0) (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)))

simplify378.0ms

Algorithm
egg-herbie
Counts
895 → 895
Iterations

Useful iterations: 1 (54.0ms)

IterNodesCost
0231319124
1500118227

prune2.0s

Filtered
895 candidates to 455 candidates (49.2%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New8923895
Fresh246
Picked011
Done112
Total8959904

Merged error: 0.0b

Counts
904 → 9

regimes84.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0188
1188

end0.0ms

sample6.1s

Algorithm
halfpoints