Details

Time bar (total: 6.2s)

analyze1.2s

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

sample62.0ms

Algorithm
intervals
Results
17.0ms196×body80valid
8.0ms17×body1280valid
8.0ms20×body320valid
6.0ms64×body80invalid
5.0ms15×body640valid
2.0ms7×body640invalid
1.0ms8×body160valid
1.0ms5×body320invalid
0.0ms3×body160invalid
0.0ms1×body1280invalid

simplify80.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (77.0ms)

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:

0.5b
(/.f64 (cos.f64 (*.f64 2.0 x)) (*.f64 (pow.f64 c 2.0) (*.f64 (*.f64 x (pow.f64 s 2.0)) x)))
5.3b
(*.f64 (*.f64 x (pow.f64 s 2.0)) x)
7.4b
(*.f64 x (pow.f64 s 2.0))
17.6b
(*.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))

series295.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(/.f64 (cos.f64 (*.f64 2.0 x)) (*.f64 (pow.f64 c 2.0) (*.f64 (*.f64 x (pow.f64 s 2.0)) x)))
40.0ms
(*.f64 (*.f64 x (pow.f64 s 2.0)) x)
40.0ms
(*.f64 x (pow.f64 s 2.0))
96.0ms
(*.f64 (pow.f64 c 2.0) (*.f64 (*.f64 x (pow.f64 s 2.0)) x))

simplify54.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
050791530

prune150.0ms

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

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1189127
Fresh000
Picked101
Done000
Total1199128

Merged error: 16.1b

Counts
128 → 9

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)))
0.5b
(/.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)))
5.3b
(*.f64 (*.f64 (*.f64 x (pow.f64 s (/.f64 2.0 2))) (pow.f64 s (/.f64 2.0 2))) x)
17.6b
(*.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))

rewrite59.0ms

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))

series290.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(*.f64 (*.f64 x (pow.f64 s (/.f64 2.0 2))) (pow.f64 s (/.f64 2.0 2)))
115.0ms
(/.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)))
41.0ms
(*.f64 (*.f64 (*.f64 x (pow.f64 s (/.f64 2.0 2))) (pow.f64 s (/.f64 2.0 2))) x)
95.0ms
(*.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))

simplify66.0ms

Algorithm
egg-herbie
Counts
198 → 198
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
049872478
149872478

prune140.0ms

Filtered
64 candidates to 198 candidates (-209.4%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1917198
Fresh358
Picked011
Done000
Total19413207

Merged error: 10.5b

Counts
207 → 13

localize14.0ms

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))))
0.5b
(/.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))))))
17.6b
(*.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)))))

rewrite53.0ms

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))))
18.0ms
(/.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)))))

series252.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(*.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))))))
96.0ms
(*.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)))))

simplify52.0ms

Algorithm
egg-herbie
Counts
195 → 195
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
050222629

prune123.0ms

Filtered
51 candidates to 195 candidates (-282.4%)
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New1905195
Fresh2911
Picked101
Done011
Total19315208

Merged error: 2.6b

Counts
208 → 15

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(*.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))))
0.5b
(/.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)))))
4.1b
(*.f64 (*.f64 x (pow.f64 s (/.f64 2.0 2))) (pow.f64 c (/.f64 2.0 2)))
4.1b
(*.f64 (*.f64 x (pow.f64 s (/.f64 2.0 2))) (pow.f64 c (/.f64 2.0 2)))

rewrite104.0ms

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:
16.0ms
(*.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))))
23.0ms
(/.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)))))
7.0ms
(*.f64 (*.f64 x (pow.f64 s (/.f64 2.0 2))) (pow.f64 c (/.f64 2.0 2)))
10.0ms
(*.f64 (*.f64 x (pow.f64 s (/.f64 2.0 2))) (pow.f64 c (/.f64 2.0 2)))

series384.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(*.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))))
114.0ms
(/.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)))))
78.0ms
(*.f64 (*.f64 x (pow.f64 s (/.f64 2.0 2))) (pow.f64 c (/.f64 2.0 2)))
81.0ms
(*.f64 (*.f64 x (pow.f64 s (/.f64 2.0 2))) (pow.f64 c (/.f64 2.0 2)))

simplify93.0ms

Algorithm
egg-herbie
Counts
463 → 463
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
050566652

prune117.0ms

Filtered
63 candidates to 463 candidates (-634.9%)
Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New4576463
Fresh31013
Picked101
Done011
Total46117478

Merged error: 2.3b

Counts
478 → 17

regimes594.0ms

Accuracy

0% (0.3b remaining)

Error of 2.7b against oracle of 2.4b and baseline of 2.7b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02134
12134

end0.0ms

sample1.9s

Algorithm
intervals
Results
535.0ms6007×body80valid
348.0ms698×body1280valid
248.0ms713×body640valid
154.0ms1820×body80invalid
102.0ms385×body320valid
75.0ms232×body640invalid
73.0ms142×body1280invalid
46.0ms192×body320invalid
34.0ms197×body160valid
18.0ms107×body160invalid

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