Details

Time bar (total: 7.2s)

analyze1.1s

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

sample79.0ms

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

simplify27.0ms

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

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt_binary64
19×*-un-lft-identity_binary64 add-cube-cbrt_binary64 times-frac_binary64
13×associate-*r*_binary64
10×add-exp-log_binary64 add-cbrt-cube_binary64
5×pow1_binary64
3×associate-/r*_binary64 add-log-exp_binary64 associate-*l*_binary64 associate-/l*_binary64 insert-posit16
2×cbrt-unprod_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 prod-exp_binary64 div-inv_binary64 div-exp_binary64
1×pow-prod-down_binary64 associate-*r/_binary64 clear-num_binary64 frac-2neg_binary64 cos-sum_binary64 *-commutative_binary64
Counts
3 → 70
Calls
3 calls:
10.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
6.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
5.0ms
(cos.f64 (+.f64 a b))

series1.7s

Counts
3 → 9
Calls
3 calls:
55.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
650.0ms
(/.f64 (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
0249859
1249859
0249859
1249859
013
113
0629
1629
0629
1629
013
113

simplify164.0ms

Counts
79 → 79
Iterations

Useful iterations: 0 (139.0ms)

IterNodesCost
049091194
149091194

prune70.0ms

Filtered
62 candidates to 79 candidates (-27.4%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New681179
Fresh000
Picked101
Done000
Total691180

Merged error: 0.1b

Counts
80 → 11

localize17.0ms

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

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 a) (sin.f64 b)))
16.0ms
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
6.0ms
(*.f64 (sin.f64 a) (sin.f64 b))
12.0ms
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))

series220.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
54.0ms
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
53.0ms
(*.f64 (sin.f64 a) (sin.f64 b))
57.0ms
(/.f64 (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
01919
11919
01919
11919
013
113
0889
1889
0889
1889
013
113
0529
1529
0529
1529
013
113
01589
11589
01589
11589
013
113

simplify164.0ms

Counts
115 → 115
Iterations

Useful iterations: 0 (127.0ms)

IterNodesCost
049902646
149902646

prune116.0ms

Filtered
93 candidates to 115 candidates (-23.7%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New10510115
Fresh10010
Picked101
Done000
Total11610126

Merged error: 0.0b

Counts
126 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt_binary64
28×*-un-lft-identity_binary64
18×add-cube-cbrt_binary64 times-frac_binary64
13×add-exp-log_binary64 add-cbrt-cube_binary64
8×associate-/r*_binary64
6×add-log-exp_binary64 pow1_binary64
5×difference-of-squares_binary64 distribute-lft-out--_binary64
4×associate-/l*_binary64 insert-posit16
3×associate-*r*_binary64 cbrt-undiv_binary64 associate-*l*_binary64 div-exp_binary64
2×flip3--_binary64 cbrt-unprod_binary64 cos-mult_binary64 associate-/r/_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 div-inv_binary64 flip--_binary64
1×pow-prod-down_binary64 associate-/l/_binary64 sub-neg_binary64 diff-log_binary64 unswap-sqr_binary64 *-commutative_binary64
Counts
4 → 95
Calls
4 calls:
6.0ms
(*.f64 (cos.f64 a) (cos.f64 b))
10.0ms
(-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (sin.f64 a))
12.0ms
(/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (sin.f64 a)))
8.0ms
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b))

series224.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(*.f64 (cos.f64 a) (cos.f64 b))
62.0ms
(-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (sin.f64 a))
53.0ms
(/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (sin.f64 a)))
55.0ms
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
01339
11339
01339
11339
013
113
0719
1719
0719
1719
013
113
02499
12499
02499
12499
013
113
0949
1949
0949
1949
013
113

simplify118.0ms

Counts
107 → 107
Iterations

Useful iterations: 0 (86.0ms)

IterNodesCost
050982213

prune86.0ms

Filtered
78 candidates to 107 candidates (-37.2%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1061107
Fresh279
Picked011
Done000
Total1089117

Merged error: 0.0b

Counts
117 → 9

localize17.0ms

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

rewrite34.0ms

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 (sin.f64 b) r)
6.0ms
(*.f64 (sin.f64 a) (sin.f64 b))
12.0ms
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))

series214.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
51.0ms
(*.f64 (sin.f64 b) r)
53.0ms
(*.f64 (sin.f64 a) (sin.f64 b))
53.0ms
(/.f64 (*.f64 (sin.f64 b) r) (-.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
0769
1769
0769
1769
013
113
01589
11589
01589
11589
013
113

simplify91.0ms

Counts
91 → 91
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
049871551
149871551

prune61.0ms

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

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New91091
Fresh077
Picked011
Done011
Total919100

Merged error: 0.0b

Counts
100 → 9

regimes71.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02721
12721

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.4s2922×body1280valid
517.0ms1841×body640valid
162.0ms756×body320valid
144.0ms2134×body80valid
50.0ms347×body160valid

Profiling

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