Details

Time bar (total: 4.6s)

analyze841.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%100%0%3
37.5%62.5%0%4
43.7%56.2%0%5
46.9%53.1%0%6
48.4%51.5%0%7
49.2%50.8%0%8
49.6%50.4%0%9
49.8%50.2%0%10
49.9%50.1%0%11
49.9%50%0%12
50%50%0%13
50%49.9%0%14

sample75.0ms

Algorithm
intervals
Results
20.0ms31×body1280valid
19.0ms46×body640valid
17.0ms142×body80valid
9.0ms28×body320valid
2.0ms9×body160valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
04914
14914

prune6.0ms

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: 14.1b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))
0.4b
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
13.9b
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (sin.f64 x))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log_binary64 add-cbrt-cube_binary64
10×pow1_binary64 add-sqr-sqrt_binary64
8×*-un-lft-identity_binary64 add-cube-cbrt_binary64
7×cbrt-unprod_binary64 prod-exp_binary64
6×associate-*l*_binary64
4×pow-prod-down_binary64 associate-*r*_binary64
3×associate-/r*_binary64 add-log-exp_binary64 cbrt-undiv_binary64 times-frac_binary64 div-exp_binary64
2×*-commutative_binary64
1×unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 div-inv_binary64
Counts
3 → 59
Calls
3 calls:
8.0ms
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))
5.0ms
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
10.0ms
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (sin.f64 x))

series23.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))
4.0ms
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
13.0ms
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (sin.f64 x))

simplify56.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
04945686
14945686

prune110.0ms

Filtered
49 candidates to 68 candidates (-38.8%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New541468
Fresh000
Picked101
Done000
Total551469

Merged error: 0.1b

Counts
69 → 14

localize10.0ms

Local error

Found 3 expressions with local error:

0.3b
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (sin.f64 x)))
0.3b
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (sin.f64 x))
0.4b
(*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log_binary64 add-cbrt-cube_binary64
14×add-sqr-sqrt_binary64
10×*-un-lft-identity_binary64 associate-*r*_binary64 add-cube-cbrt_binary64
7×pow1_binary64
6×cbrt-unprod_binary64 associate-*l*_binary64 prod-exp_binary64 times-frac_binary64
4×cbrt-undiv_binary64 div-exp_binary64
3×associate-/r*_binary64 add-log-exp_binary64
2×pow-prod-down_binary64 unswap-sqr_binary64 div-inv_binary64 *-commutative_binary64
1×associate-*r/_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64
Counts
3 → 66
Calls
3 calls:
9.0ms
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (sin.f64 x)))
6.0ms
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (sin.f64 x))
5.0ms
(*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)

series25.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (sin.f64 x)))
9.0ms
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (sin.f64 x))
4.0ms
(*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)

simplify76.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
04907793
14907793

prune107.0ms

Filtered
52 candidates to 75 candidates (-44.2%)
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New69675
Fresh5813
Picked011
Done000
Total741589

Merged error: 0.0b

Counts
89 → 15

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))
0.3b
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (sqrt.f64 8/3))
0.3b
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (sqrt.f64 8/3)) (sin.f64 x)))
0.3b
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (sqrt.f64 8/3)) (sin.f64 x))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log_binary64 add-cbrt-cube_binary64
20×add-sqr-sqrt_binary64
19×associate-*r*_binary64
14×*-un-lft-identity_binary64 cbrt-unprod_binary64 add-cube-cbrt_binary64 prod-exp_binary64
13×pow1_binary64
7×associate-*l*_binary64 sqrt-prod_binary64
6×cbrt-undiv_binary64 times-frac_binary64 div-exp_binary64
5×pow-prod-down_binary64
4×add-log-exp_binary64
3×associate-/r*_binary64 unswap-sqr_binary64 *-commutative_binary64
2×div-inv_binary64
1×associate-*r/_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64
Counts
4 → 95
Calls
4 calls:
7.0ms
(*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))
10.0ms
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (sqrt.f64 8/3))
13.0ms
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (sqrt.f64 8/3)) (sin.f64 x)))
13.0ms
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (sqrt.f64 8/3)) (sin.f64 x))

series50.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))
9.0ms
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (sqrt.f64 8/3))
19.0ms
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (sqrt.f64 8/3)) (sin.f64 x)))
16.0ms
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (sqrt.f64 8/3)) (sin.f64 x))

simplify68.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
049191109
149191109

prune123.0ms

Filtered
65 candidates to 107 candidates (-64.6%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1034107
Fresh6713
Picked101
Done101
Total11111122

Merged error: 0.0b

Counts
122 → 11

localize10.0ms

Local error

Found 3 expressions with local error:

0.3b
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3)))
0.4b
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3))
0.4b
(/.f64 (sin.f64 x) 8/3)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
153×times-frac_binary64
98×add-sqr-sqrt_binary64
89×*-un-lft-identity_binary64 add-cube-cbrt_binary64
44×associate-*r*_binary64
19×add-exp-log_binary64 add-cbrt-cube_binary64
16×associate-/r*_binary64
10×div-inv_binary64
7×cbrt-undiv_binary64 div-exp_binary64
6×associate-/l*_binary64
5×pow1_binary64
3×add-log-exp_binary64 cbrt-unprod_binary64 associate-*l*_binary64 unswap-sqr_binary64 prod-exp_binary64
2×associate-/r/_binary64 clear-num_binary64 frac-2neg_binary64
1×pow-prod-down_binary64 associate-*r/_binary64 *-commutative_binary64
Counts
3 → 163
Calls
3 calls:
18.0ms
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3)))
7.0ms
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3))
5.0ms
(/.f64 (sin.f64 x) 8/3)

series25.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3)))
9.0ms
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3))
4.0ms
(/.f64 (sin.f64 x) 8/3)

simplify81.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
056472430

prune214.0ms

Filtered
141 candidates to 172 candidates (-22.0%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1693172
Fresh4610
Picked011
Done000
Total17310183

Merged error: 0b

Counts
183 → 10

regimes50.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01414
11414

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.1s1544×body1280valid
556.0ms1263×body640valid
418.0ms4278×body80valid
179.0ms614×body320valid
62.0ms301×body160valid

Profiling

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