Details

Time bar (total: 6.7s)

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
6.2%93.6%0.1%7
9.4%90.5%0.1%8
14%85.8%0.1%9
19.5%80.4%0.1%10
20.7%79.2%0.1%11
22%77.8%0.1%12
23.5%76.4%0.1%13
23.8%76%0.1%14

sample78.0ms

Algorithm
intervals
Results
43.0ms92×body1280valid
15.0ms54×body640valid
5.0ms24×body320valid
4.0ms70×body80valid
2.0ms16×body160valid

simplify21.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (6.0ms)

IterNodesCost
02114
12114

prune2.0ms

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: 13.3b

Counts
2 → 1

localize16.0ms

Local error

Found 3 expressions with local error:

0.1b
(*.f64 r (sin.f64 b))
0.2b
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
3.0b
(cos.f64 (+.f64 a b))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log_binary64 add-cbrt-cube_binary64
9×add-sqr-sqrt_binary64
7×*-un-lft-identity_binary64 add-cube-cbrt_binary64
5×pow1_binary64
3×associate-/r*_binary64 add-log-exp_binary64 associate-*r*_binary64 associate-*l*_binary64 times-frac_binary64 insert-posit16
2×cbrt-unprod_binary64 cbrt-undiv_binary64 prod-exp_binary64 div-exp_binary64
1×pow-prod-down_binary64 unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 cos-sum_binary64 div-inv_binary64 *-commutative_binary64
Counts
3 → 50
Calls
3 calls:
5.0ms
(*.f64 r (sin.f64 b))
7.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
5.0ms
(cos.f64 (+.f64 a b))

series1.1s

Counts
3 → 9
Calls
3 calls:
52.0ms
(*.f64 r (sin.f64 b))
58.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
1.0s
(cos.f64 (+.f64 a b))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0413289
0413289
013
113
0629
1629
0629
1629
013
113
0809
1809
0809
1809
013
113

simplify187.0ms

Counts
59 → 59
Iterations

Useful iterations: 0 (163.0ms)

IterNodesCost
05533645

prune51.0ms

Filtered
45 candidates to 59 candidates (-31.1%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New50959
Fresh000
Picked101
Done000
Total51960

Merged error: 0.2b

Counts
60 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
0.1b
(*.f64 r (sin.f64 b))
0.2b
(*.f64 (sin.f64 a) (sin.f64 b))
0.3b
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt_binary64
13×add-exp-log_binary64 add-cbrt-cube_binary64
10×*-un-lft-identity_binary64 add-cube-cbrt_binary64
8×pow1_binary64
6×add-log-exp_binary64 associate-*r*_binary64 associate-*l*_binary64
5×sin-mult_binary64
4×cos-mult_binary64 associate-/r/_binary64 insert-posit16
3×associate-/r*_binary64 cbrt-unprod_binary64 prod-exp_binary64 times-frac_binary64
2×pow-prod-down_binary64 flip3--_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 div-exp_binary64 sub-div_binary64 flip--_binary64 frac-sub_binary64 *-commutative_binary64
1×sub-neg_binary64 diff-log_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 div-inv_binary64
Counts
4 → 79
Calls
4 calls:
7.0ms
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
5.0ms
(*.f64 r (sin.f64 b))
6.0ms
(*.f64 (sin.f64 a) (sin.f64 b))
12.0ms
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))

series219.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
53.0ms
(*.f64 r (sin.f64 b))
52.0ms
(*.f64 (sin.f64 a) (sin.f64 b))
56.0ms
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0529
1529
0529
1529
013
113
0889
1889
0889
1889
013
113
0809
1809
0809
1809
013
113
01589
11589
01589
11589
013
113

simplify156.0ms

Counts
91 → 91
Iterations

Useful iterations: 0 (127.0ms)

IterNodesCost
050371477

prune87.0ms

Filtered
69 candidates to 91 candidates (-31.9%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New811091
Fresh718
Picked101
Done000
Total8911100

Merged error: 0.0b

Counts
100 → 11

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
0.2b
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
0.2b
(*.f64 (sin.f64 b) (sin.f64 a))
0.3b
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt_binary64
22×*-un-lft-identity_binary64 add-cube-cbrt_binary64
20×associate-*r*_binary64
19×times-frac_binary64
13×add-exp-log_binary64 add-cbrt-cube_binary64
8×pow1_binary64 associate-/r/_binary64
7×sin-mult_binary64
6×add-log-exp_binary64 cos-mult_binary64 associate-*l*_binary64
4×insert-posit16
3×associate-/r*_binary64 flip3--_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 prod-exp_binary64 associate-/l*_binary64 sub-div_binary64 flip--_binary64 frac-sub_binary64
2×pow-prod-down_binary64 cbrt-undiv_binary64 div-inv_binary64 div-exp_binary64 *-commutative_binary64
1×sub-neg_binary64 diff-log_binary64 associate-*r/_binary64 clear-num_binary64 frac-2neg_binary64
Counts
4 → 103
Calls
4 calls:
7.0ms
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
16.0ms
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
6.0ms
(*.f64 (sin.f64 b) (sin.f64 a))
11.0ms
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))

series227.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
56.0ms
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
52.0ms
(*.f64 (sin.f64 b) (sin.f64 a))
62.0ms
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
01919
11919
01919
11919
013
113
0889
1889
0889
1889
013
113
0529
1529
0529
1529
013
113
01589
11589
01589
11589
013
113

simplify98.0ms

Counts
115 → 115
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
051242713

prune102.0ms

Filtered
90 candidates to 115 candidates (-27.8%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1114115
Fresh4610
Picked101
Done000
Total11610126

Merged error: 0.0b

Counts
126 → 10

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b
(*.f64 r (sin.f64 b))
0.2b
(*.f64 (sin.f64 b) (sin.f64 a))
0.3b
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (log.f64 (exp.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
4.5b
(log.f64 (exp.f64 (*.f64 (sin.f64 b) (sin.f64 a))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt_binary64
13×add-exp-log_binary64 add-cbrt-cube_binary64
11×*-un-lft-identity_binary64 add-cube-cbrt_binary64
9×pow1_binary64
6×associate-*r*_binary64 associate-*l*_binary64
5×add-log-exp_binary64
4×insert-posit16
3×associate-/r*_binary64 cbrt-unprod_binary64 log-prod_binary64 log-pow_binary64 prod-exp_binary64 times-frac_binary64
2×pow-prod-down_binary64 cbrt-undiv_binary64 associate-/r/_binary64 unswap-sqr_binary64 div-exp_binary64 *-commutative_binary64
1×flip3--_binary64 rem-log-exp_binary64 clear-num_binary64 frac-2neg_binary64 sin-mult_binary64 associate-/l*_binary64 div-inv_binary64 flip--_binary64 exp-to-pow_binary64 exp-prod_binary64
Counts
4 → 78
Calls
4 calls:
5.0ms
(*.f64 r (sin.f64 b))
6.0ms
(*.f64 (sin.f64 b) (sin.f64 a))
11.0ms
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (log.f64 (exp.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
3.0ms
(log.f64 (exp.f64 (*.f64 (sin.f64 b) (sin.f64 a))))

series217.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(*.f64 r (sin.f64 b))
54.0ms
(*.f64 (sin.f64 b) (sin.f64 a))
58.0ms
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (log.f64 (exp.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
53.0ms
(log.f64 (exp.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
01079
11079
01079
11079
013
113
0589
1589
0589
1589
013
113
0889
1889
0889
1889
013
113
0809
1809
0809
1809
013
113

simplify121.0ms

Counts
90 → 90
Iterations

Useful iterations: 0 (91.0ms)

IterNodesCost
051091258

prune56.0ms

Filtered
66 candidates to 90 candidates (-36.4%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New90090
Fresh099
Picked011
Done000
Total9010100

Merged error: 0.0b

Counts
100 → 10

regimes83.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02830
12830

end0.0ms

sample2.6s

Algorithm
intervals
Results
1.5s2922×body1280valid
523.0ms1841×body640valid
146.0ms756×body320valid
137.0ms2134×body80valid
53.0ms347×body160valid

Profiling

Loading profile data...