Details

Time bar (total: 5.8s)

analyze1.0s

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
12.5%87.4%0.1%7
18.7%81.1%0.1%8
26.5%72.9%0.5%9
38.2%60.7%1.1%10
41.7%54.9%3.4%11
47.6%47.4%5%12
53.4%39.4%7.2%13
54.9%34.5%10.6%14

sample66.0ms

Algorithm
intervals
Results
20.0ms205×body80valid
8.0ms18×body1280valid
6.0ms19×body640valid
5.0ms61×body80invalid
4.0ms14×body640invalid
3.0ms7×body1280invalid
3.0ms12×body320valid
2.0ms10×body320invalid
0.0ms3×body160invalid
0.0ms2×body160valid

simplify78.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
0484516
1484516

prune6.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 28.4b

Counts
2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.7b
(/.f64 (cos.f64 (*.f64 2.0 x)) (*.f64 (pow.f64 c 2.0) (*.f64 (*.f64 x (pow.f64 s 2.0)) x)))
5.1b
(*.f64 (*.f64 x (pow.f64 s 2.0)) x)
6.6b
(*.f64 x (pow.f64 s 2.0))
18.1b
(*.f64 (pow.f64 c 2.0) (*.f64 (*.f64 x (pow.f64 s 2.0)) x))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
122×add-exp-log_binary64
82×prod-exp_binary64
34×add-cbrt-cube_binary64
18×pow-to-exp_binary64 pow-exp_binary64
17×add-sqr-sqrt_binary64
16×cbrt-unprod_binary64 div-exp_binary64
12×*-un-lft-identity_binary64 add-cube-cbrt_binary64
11×associate-*r*_binary64 associate-*l*_binary64
7×unpow-prod-down_binary64
6×pow1_binary64
4×add-log-exp_binary64 cbrt-undiv_binary64
3×sqr-pow_binary64 unswap-sqr_binary64 associate-/l*_binary64 times-frac_binary64 *-commutative_binary64
1×pow-prod-down_binary64 associate-/r*_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64
Counts
4 → 115
Calls
4 calls:
11.0ms
(/.f64 (cos.f64 (*.f64 2.0 x)) (*.f64 (pow.f64 c 2.0) (*.f64 (*.f64 x (pow.f64 s 2.0)) x)))
6.0ms
(*.f64 (*.f64 x (pow.f64 s 2.0)) x)
5.0ms
(*.f64 x (pow.f64 s 2.0))
9.0ms
(*.f64 (pow.f64 c 2.0) (*.f64 (*.f64 x (pow.f64 s 2.0)) x))

series281.0ms

Counts
4 → 12
Calls
4 calls:
114.0ms
(/.f64 (cos.f64 (*.f64 2.0 x)) (*.f64 (pow.f64 c 2.0) (*.f64 (*.f64 x (pow.f64 s 2.0)) x)))
37.0ms
(*.f64 (*.f64 x (pow.f64 s 2.0)) x)
38.0ms
(*.f64 x (pow.f64 s 2.0))
91.0ms
(*.f64 (pow.f64 c 2.0) (*.f64 (*.f64 x (pow.f64 s 2.0)) x))

simplify55.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
050791530

prune145.0ms

Filtered
67 candidates to 127 candidates (-89.6%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New11710127
Fresh000
Picked101
Done000
Total11810128

Merged error: 15.9b

Counts
128 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(*.f64 (*.f64 x (pow.f64 s (/.f64 2.0 2))) (pow.f64 s (/.f64 2.0 2)))
0.7b
(/.f64 (cos.f64 (*.f64 2.0 x)) (*.f64 (pow.f64 c 2.0) (*.f64 (*.f64 (*.f64 x (pow.f64 s (/.f64 2.0 2))) (pow.f64 s (/.f64 2.0 2))) x)))
5.1b
(*.f64 (*.f64 (*.f64 x (pow.f64 s (/.f64 2.0 2))) (pow.f64 s (/.f64 2.0 2))) x)
18.1b
(*.f64 (pow.f64 c 2.0) (*.f64 (*.f64 (*.f64 x (pow.f64 s (/.f64 2.0 2))) (pow.f64 s (/.f64 2.0 2))) x))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
416×add-exp-log_binary64
343×prod-exp_binary64
84×pow-to-exp_binary64 pow-exp_binary64
52×add-cbrt-cube_binary64
43×div-exp_binary64
29×cbrt-unprod_binary64
11×*-un-lft-identity_binary64 associate-*r*_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
9×associate-*l*_binary64
6×pow1_binary64 unpow-prod-down_binary64
5×cbrt-undiv_binary64
4×add-log-exp_binary64
3×associate-/l*_binary64 times-frac_binary64 *-commutative_binary64
2×sqr-pow_binary64
1×pow-prod-down_binary64 associate-/r*_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64
Counts
4 → 186
Calls
4 calls:
8.0ms
(*.f64 (*.f64 x (pow.f64 s (/.f64 2.0 2))) (pow.f64 s (/.f64 2.0 2)))
15.0ms
(/.f64 (cos.f64 (*.f64 2.0 x)) (*.f64 (pow.f64 c 2.0) (*.f64 (*.f64 (*.f64 x (pow.f64 s (/.f64 2.0 2))) (pow.f64 s (/.f64 2.0 2))) x)))
10.0ms
(*.f64 (*.f64 (*.f64 x (pow.f64 s (/.f64 2.0 2))) (pow.f64 s (/.f64 2.0 2))) x)
13.0ms
(*.f64 (pow.f64 c 2.0) (*.f64 (*.f64 (*.f64 x (pow.f64 s (/.f64 2.0 2))) (pow.f64 s (/.f64 2.0 2))) x))

series280.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(*.f64 (*.f64 x (pow.f64 s (/.f64 2.0 2))) (pow.f64 s (/.f64 2.0 2)))
112.0ms
(/.f64 (cos.f64 (*.f64 2.0 x)) (*.f64 (pow.f64 c 2.0) (*.f64 (*.f64 (*.f64 x (pow.f64 s (/.f64 2.0 2))) (pow.f64 s (/.f64 2.0 2))) x)))
40.0ms
(*.f64 (*.f64 (*.f64 x (pow.f64 s (/.f64 2.0 2))) (pow.f64 s (/.f64 2.0 2))) x)
91.0ms
(*.f64 (pow.f64 c 2.0) (*.f64 (*.f64 (*.f64 x (pow.f64 s (/.f64 2.0 2))) (pow.f64 s (/.f64 2.0 2))) x))

simplify68.0ms

Algorithm
egg-herbie
Counts
198 → 198
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
049872478
149872478

prune137.0ms

Filtered
62 candidates to 198 candidates (-219.4%)
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New1908198
Fresh459
Picked011
Done000
Total19414208

Merged error: 9.8b

Counts
208 → 14

localize16.0ms

Local error

Found 3 expressions with local error:

0.3b
(*.f64 (*.f64 x (pow.f64 s (/.f64 2.0 2))) (*.f64 x (pow.f64 s (/.f64 2.0 2))))
0.7b
(/.f64 (cos.f64 (*.f64 2.0 x)) (*.f64 (pow.f64 c 2.0) (*.f64 (*.f64 x (pow.f64 s (/.f64 2.0 2))) (*.f64 x (pow.f64 s (/.f64 2.0 2))))))
18.1b
(*.f64 (pow.f64 c 2.0) (*.f64 (*.f64 x (pow.f64 s (/.f64 2.0 2))) (*.f64 x (pow.f64 s (/.f64 2.0 2)))))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
466×add-exp-log_binary64
382×prod-exp_binary64
90×pow-to-exp_binary64 pow-exp_binary64
58×add-cbrt-cube_binary64
52×div-exp_binary64
34×cbrt-unprod_binary64
10×pow1_binary64
9×add-sqr-sqrt_binary64
8×associate-*l*_binary64
7×*-un-lft-identity_binary64 add-cube-cbrt_binary64
6×cbrt-undiv_binary64
4×unpow-prod-down_binary64
3×add-log-exp_binary64 unswap-sqr_binary64 associate-/l*_binary64 times-frac_binary64
2×associate-*r*_binary64 sqr-pow_binary64 *-commutative_binary64
1×pow-prod-down_binary64 associate-/r*_binary64 swap-sqr_binary64 pow-prod-up_binary64 pow-plus_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 pow-sqr_binary64 pow2_binary64
Counts
3 → 186
Calls
3 calls:
9.0ms
(*.f64 (*.f64 x (pow.f64 s (/.f64 2.0 2))) (*.f64 x (pow.f64 s (/.f64 2.0 2))))
16.0ms
(/.f64 (cos.f64 (*.f64 2.0 x)) (*.f64 (pow.f64 c 2.0) (*.f64 (*.f64 x (pow.f64 s (/.f64 2.0 2))) (*.f64 x (pow.f64 s (/.f64 2.0 2))))))
13.0ms
(*.f64 (pow.f64 c 2.0) (*.f64 (*.f64 x (pow.f64 s (/.f64 2.0 2))) (*.f64 x (pow.f64 s (/.f64 2.0 2)))))

series246.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(*.f64 (*.f64 x (pow.f64 s (/.f64 2.0 2))) (*.f64 x (pow.f64 s (/.f64 2.0 2))))
114.0ms
(/.f64 (cos.f64 (*.f64 2.0 x)) (*.f64 (pow.f64 c 2.0) (*.f64 (*.f64 x (pow.f64 s (/.f64 2.0 2))) (*.f64 x (pow.f64 s (/.f64 2.0 2))))))
92.0ms
(*.f64 (pow.f64 c 2.0) (*.f64 (*.f64 x (pow.f64 s (/.f64 2.0 2))) (*.f64 x (pow.f64 s (/.f64 2.0 2)))))

simplify53.0ms

Algorithm
egg-herbie
Counts
195 → 195
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
050222629

prune111.0ms

Filtered
50 candidates to 195 candidates (-290.0%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1914195
Fresh7512
Picked101
Done101
Total2009209

Merged error: 3.1b

Counts
209 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (*.f64 (*.f64 x (pow.f64 s (/.f64 2.0 2))) (pow.f64 c (/.f64 2.0 2))) (*.f64 (*.f64 x (pow.f64 s (/.f64 2.0 2))) (pow.f64 c (/.f64 2.0 2))))
0.7b
(/.f64 (cos.f64 (*.f64 2.0 x)) (*.f64 (*.f64 (*.f64 x (pow.f64 s (/.f64 2.0 2))) (pow.f64 c (/.f64 2.0 2))) (*.f64 (*.f64 x (pow.f64 s (/.f64 2.0 2))) (pow.f64 c (/.f64 2.0 2)))))
4.9b
(*.f64 (*.f64 x (pow.f64 s (/.f64 2.0 2))) (pow.f64 c (/.f64 2.0 2)))
4.9b
(*.f64 (*.f64 x (pow.f64 s (/.f64 2.0 2))) (pow.f64 c (/.f64 2.0 2)))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
1631×add-exp-log_binary64
1472×prod-exp_binary64
378×pow-to-exp_binary64 pow-exp_binary64
170×div-exp_binary64
97×add-cbrt-cube_binary64
60×cbrt-unprod_binary64
15×associate-*r*_binary64
11×pow1_binary64
10×*-un-lft-identity_binary64 cbrt-undiv_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
6×unpow-prod-down_binary64
4×add-log-exp_binary64
3×associate-*l*_binary64 associate-/l*_binary64 times-frac_binary64 *-commutative_binary64
2×sqr-pow_binary64
1×pow-prod-down_binary64 associate-/r*_binary64 swap-sqr_binary64 pow-prod-up_binary64 pow-plus_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 pow-sqr_binary64 pow2_binary64
Counts
4 → 451
Calls
4 calls:
17.0ms
(*.f64 (*.f64 (*.f64 x (pow.f64 s (/.f64 2.0 2))) (pow.f64 c (/.f64 2.0 2))) (*.f64 (*.f64 x (pow.f64 s (/.f64 2.0 2))) (pow.f64 c (/.f64 2.0 2))))
27.0ms
(/.f64 (cos.f64 (*.f64 2.0 x)) (*.f64 (*.f64 (*.f64 x (pow.f64 s (/.f64 2.0 2))) (pow.f64 c (/.f64 2.0 2))) (*.f64 (*.f64 x (pow.f64 s (/.f64 2.0 2))) (pow.f64 c (/.f64 2.0 2)))))
8.0ms
(*.f64 (*.f64 x (pow.f64 s (/.f64 2.0 2))) (pow.f64 c (/.f64 2.0 2)))
8.0ms
(*.f64 (*.f64 x (pow.f64 s (/.f64 2.0 2))) (pow.f64 c (/.f64 2.0 2)))

series407.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(*.f64 (*.f64 (*.f64 x (pow.f64 s (/.f64 2.0 2))) (pow.f64 c (/.f64 2.0 2))) (*.f64 (*.f64 x (pow.f64 s (/.f64 2.0 2))) (pow.f64 c (/.f64 2.0 2))))
137.0ms
(/.f64 (cos.f64 (*.f64 2.0 x)) (*.f64 (*.f64 (*.f64 x (pow.f64 s (/.f64 2.0 2))) (pow.f64 c (/.f64 2.0 2))) (*.f64 (*.f64 x (pow.f64 s (/.f64 2.0 2))) (pow.f64 c (/.f64 2.0 2)))))
76.0ms
(*.f64 (*.f64 x (pow.f64 s (/.f64 2.0 2))) (pow.f64 c (/.f64 2.0 2)))
82.0ms
(*.f64 (*.f64 x (pow.f64 s (/.f64 2.0 2))) (pow.f64 c (/.f64 2.0 2)))

simplify96.0ms

Algorithm
egg-herbie
Counts
463 → 463
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
050566652

prune118.0ms

Filtered
62 candidates to 463 candidates (-646.8%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New4576463
Fresh268
Picked101
Done000
Total46012472

Merged error: 2.7b

Counts
472 → 12

regimes473.0ms

Accuracy

0% (0.3b remaining)

Error of 2.6b against oracle of 2.3b and baseline of 2.6b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01732
11732

end0.0ms

sample1.9s

Algorithm
intervals
Results
526.0ms6000×body80valid
331.0ms685×body1280valid
253.0ms755×body640valid
167.0ms1836×body80invalid
97.0ms382×body320valid
83.0ms260×body640invalid
56.0ms123×body1280invalid
47.0ms204×body320invalid
34.0ms178×body160valid
21.0ms130×body160invalid

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