Details

Time bar (total: 4.3s)

analyze797.0ms

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
18.7%81.2%0.1%7
32.8%67.1%0.1%8
38.2%61.7%0.1%9
41%58.9%0.1%10
43.9%56%0.1%11
45.4%54.5%0.1%12
46.9%53%0.1%13
47.6%52.3%0.1%14

sample76.0ms

Algorithm
intervals
Results
24.0ms48×body1280valid
19.0ms20×body2560valid
10.0ms139×body80valid
9.0ms27×body640valid
3.0ms14×body320valid
2.0ms8×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
01313
11313

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 37.5b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

10.3b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
26.8b
(sin.f64 (/.f64 x (*.f64 y 2)))
27.1b
(tan.f64 (/.f64 x (*.f64 y 2)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
9×times-frac_binary64
5×add-exp-log_binary64 add-cbrt-cube_binary64
3×associate-/r*_binary64 add-log-exp_binary64 pow1_binary64 associate-/l*_binary64
2×tan-quot_binary64
1×associate-/l/_binary64 cbrt-undiv_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64
Counts
3 → 43
Calls
3 calls:
6.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
2.0ms
(sin.f64 (/.f64 x (*.f64 y 2)))
2.0ms
(tan.f64 (/.f64 x (*.f64 y 2)))

series41.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
4.0ms
(sin.f64 (/.f64 x (*.f64 y 2)))
19.0ms
(tan.f64 (/.f64 x (*.f64 y 2)))

simplify40.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
05033733

prune95.0ms

Filtered
44 candidates to 52 candidates (-18.2%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New391352
Fresh000
Picked101
Done000
Total401353

Merged error: 24.7b

Counts
53 → 13

localize0.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify4.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune24.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01212
Picked011
Done000
Total01313

Merged error: 24.7b

Counts
13 → 13

localize13.0ms

Local error

Found 4 expressions with local error:

10.3b
(/.f64 (/.f64 (sin.f64 (/.f64 x (*.f64 y 2))) (cos.f64 (/.f64 x (*.f64 y 2)))) (sin.f64 (/.f64 x (*.f64 y 2))))
26.6b
(cos.f64 (/.f64 x (*.f64 y 2)))
26.8b
(sin.f64 (/.f64 x (*.f64 y 2)))
26.8b
(sin.f64 (/.f64 x (*.f64 y 2)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac_binary64
46×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
13×associate-/l*_binary64
9×add-exp-log_binary64 add-cbrt-cube_binary64
5×div-inv_binary64
4×add-log-exp_binary64 pow1_binary64
3×associate-/r*_binary64 cbrt-undiv_binary64 div-exp_binary64
1×associate-/l/_binary64 clear-num_binary64 frac-2neg_binary64
Counts
4 → 91
Calls
4 calls:
9.0ms
(/.f64 (/.f64 (sin.f64 (/.f64 x (*.f64 y 2))) (cos.f64 (/.f64 x (*.f64 y 2)))) (sin.f64 (/.f64 x (*.f64 y 2))))
2.0ms
(cos.f64 (/.f64 x (*.f64 y 2)))
2.0ms
(sin.f64 (/.f64 x (*.f64 y 2)))
3.0ms
(sin.f64 (/.f64 x (*.f64 y 2)))

series20.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(/.f64 (/.f64 (sin.f64 (/.f64 x (*.f64 y 2))) (cos.f64 (/.f64 x (*.f64 y 2)))) (sin.f64 (/.f64 x (*.f64 y 2))))
5.0ms
(cos.f64 (/.f64 x (*.f64 y 2)))
4.0ms
(sin.f64 (/.f64 x (*.f64 y 2)))
4.0ms
(sin.f64 (/.f64 x (*.f64 y 2)))

simplify63.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
049492109
149492109

prune137.0ms

Filtered
82 candidates to 103 candidates (-25.6%)
Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New9211103
Fresh6511
Picked101
Done011
Total9917116

Merged error: 24.7b

Counts
116 → 17

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(*.f64 (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))))
26.6b
(cos.f64 (/.f64 x (*.f64 y 2)))
26.6b
(cos.f64 (/.f64 x (*.f64 y 2)))
26.6b
(cos.f64 (/.f64 x (*.f64 y 2)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
80×cbrt-prod_binary64
76×add-sqr-sqrt_binary64
52×times-frac_binary64
46×*-un-lft-identity_binary64
36×add-cube-cbrt_binary64
18×swap-sqr_binary64
16×associate-*r*_binary64 associate-*l*_binary64 unswap-sqr_binary64
11×pow1_binary64
6×pow1/3_binary64 add-exp-log_binary64 div-inv_binary64
4×cbrt-div_binary64 add-log-exp_binary64 add-cbrt-cube_binary64
2×pow-prod-down_binary64 pow-prod-up_binary64 pow-sqr_binary64
1×cbrt-unprod_binary64 associate-*r/_binary64 pow-plus_binary64 prod-exp_binary64 frac-times_binary64 pow2_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
4 → 108
Calls
4 calls:
13.0ms
(*.f64 (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))))
4.0ms
(cos.f64 (/.f64 x (*.f64 y 2)))
3.0ms
(cos.f64 (/.f64 x (*.f64 y 2)))
3.0ms
(cos.f64 (/.f64 x (*.f64 y 2)))

series45.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(*.f64 (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))))
5.0ms
(cos.f64 (/.f64 x (*.f64 y 2)))
5.0ms
(cos.f64 (/.f64 x (*.f64 y 2)))
5.0ms
(cos.f64 (/.f64 x (*.f64 y 2)))

simplify60.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
049462191
149462191

prune130.0ms

Filtered
79 candidates to 120 candidates (-51.9%)
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New1146120
Fresh6915
Picked101
Done011
Total12116137

Merged error: 24.6b

Counts
137 → 16

regimes244.0ms

Accuracy

0% (2.6b remaining)

Error of 28.9b against oracle of 26.3b and baseline of 28.9b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01723
11723

end0.0ms

sample2.4s

Algorithm
intervals
Results
742.0ms1416×body1280valid
660.0ms651×body2560valid
345.0ms1035×body640valid
317.0ms4041×body80valid
138.0ms570×body320valid
54.0ms287×body160valid

Profiling

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