Details

Time bar (total: 10.4s)

sample263.0ms

Algorithm
halfpoints

simplify59.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0307
1477
2847
31317
42237
54667
611237
722447
850027

prune6.0ms

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: 42.0b

Counts
2 → 1

localize37.0ms

Local error

Found 2 expressions with local error:

0.4b
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
57.4b
(- (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))
5.0ms
(- (exp x) (exp (- x)))

series121.0ms

Counts
2 → 6
Calls
2 calls:
82.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
39.0ms
(- (exp x) (exp (- x)))

simplify37.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0351756
11061585
25001583

prune168.0ms

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: 0.4b

Counts
75 → 4

localize28.0ms

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)))
7.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0) (sin y))

series145.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))
92.0ms
(* (/ (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 (23.0ms)

IterNodesCost
0220482
1860418
24161415
35001415

prune188.0ms

Filtered
50 candidates to 39 candidates (78.0%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New41950
Fresh033
Picked011
Done000
Total411354

Merged error: 0.3b

Counts
54 → 13

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0)) (cbrt (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0)))
0.6b
(cbrt (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0))
0.6b
(cbrt (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0))
0.6b
(cbrt (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 152
Calls
4 calls:
12.0ms
(* (cbrt (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0)) (cbrt (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0)))
2.0ms
(cbrt (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0))
2.0ms
(cbrt (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0))
2.0ms
(cbrt (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0))

series779.0ms

Counts
4 → 12
Calls
4 calls:
218.0ms
(* (cbrt (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0)) (cbrt (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0)))
191.0ms
(cbrt (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0))
182.0ms
(cbrt (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0))
188.0ms
(cbrt (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0))

simplify76.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
04712984
117052865
250012733

prune773.0ms

Filtered
164 candidates to 134 candidates (81.7%)
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New1604164
Fresh2911
Picked101
Done011
Total16314177

Merged error: 0.3b

Counts
177 → 14

localize38.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0))
0.6b
(cbrt (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)))
1.0b
(/ 1 (sqrt 2.0))
1.0b
(cbrt (/ 1 (sqrt 2.0)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
63×times-frac
57×cbrt-prod
52×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
30×sqrt-prod
8×add-exp-log
6×pow1 associate-/r* add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
3×cbrt-div pow-flip pow1/3 associate-/l*
2×div-exp
1×cbrt-undiv rec-exp frac-2neg sqrt-pow1 pow1/2 1-exp clear-num inv-pow
Counts
4 → 137
Calls
4 calls:
2.0ms
(cbrt (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0))
3.0ms
(cbrt (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)))
5.0ms
(/ 1 (sqrt 2.0))
4.0ms
(cbrt (/ 1 (sqrt 2.0)))

series686.0ms

Counts
4 → 8
Calls
4 calls:
317.0ms
(cbrt (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0))
368.0ms
(cbrt (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)))
0.0ms
(/ 1 (sqrt 2.0))
0.0ms
(cbrt (/ 1 (sqrt 2.0)))

simplify51.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
05031553
115151454
250021369

prune529.0ms

Filtered
145 candidates to 87 candidates (60.0%)
Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New1450145
Fresh01212
Picked011
Done011
Total14514159

Merged error: 0.3b

Counts
159 → 14

regimes152.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0188
1188

end0.0ms

sample6.0s

Algorithm
halfpoints