Details

Time bar (total: 8.1s)

analyze2.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
99.9%0%0.1%1

sample99.0ms

Algorithm
intervals
Results
60.0ms152×body1280valid
16.0ms18×body2560valid
12.0ms57×body640valid
3.0ms18×body320valid
1.0msbody160valid
0.0msbody80valid

simplify24.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (10.0ms)

IterNodesCost
07311
17311

prune1.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 41.2b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

1.1b
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
3.9b
(cos.f64 (+.f64 x eps))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64 add-log-exp_binary64 add-sqr-sqrt_binary64
pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 cos-sum_binary64 insert-posit16
sub-neg_binary64 flip3--_binary64 associate--l-_binary64 diff-log_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 flip--_binary64 diff-cos_binary64
Counts
2 → 25
Calls
2 calls:
8.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
5.0ms
(cos.f64 (+.f64 x eps))

series1.7s

Counts
2 → 6
Calls
2 calls:
671.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
1.0s
(cos.f64 (+.f64 x eps))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0413289
0413289
013
113
0249859
1249859
0249859
1249859
013
113

simplify136.0ms

Counts
31 → 31
Iterations

Useful iterations: 0 (116.0ms)

IterNodesCost
04919390
14919390

prune37.0ms

Filtered
25 candidates to 31 candidates (-24.0%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New25631
Fresh000
Picked101
Done000
Total26632

Merged error: 0.3b

Counts
32 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+.f64 x (+.f64 x eps))
0.2b
(/.f64 (+.f64 x (+.f64 x eps)) 2)
0.3b
(*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2)))
3.5b
(sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
41×*-un-lft-identity_binary64
18×add-sqr-sqrt_binary64
16×add-cube-cbrt_binary64
15×distribute-lft-out_binary64 times-frac_binary64
add-log-exp_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
pow1_binary64
associate-/l*_binary64
insert-posit16
associate-/r*_binary64 associate-*r*_binary64 associate-*l*_binary64 sum-log_binary64
flip3-+_binary64 associate-/l/_binary64 flip-+_binary64
pow-prod-down_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 sin-mult_binary64 div-inv_binary64 div-exp_binary64 +-commutative_binary64 associate-+r+_binary64 *-commutative_binary64
Counts
4 → 82
Calls
4 calls:
7.0ms
(+.f64 x (+.f64 x eps))
10.0ms
(/.f64 (+.f64 x (+.f64 x eps)) 2)
16.0ms
(*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2)))
9.0ms
(sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))

series1.8s

Counts
4 → 12
Calls
4 calls:
48.0ms
(+.f64 x (+.f64 x eps))
700.0ms
(/.f64 (+.f64 x (+.f64 x eps)) 2)
426.0ms
(*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2)))
620.0ms
(sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0260209
0260209
013
113
050379
150379
050379
150379
013
113
0293599
0293599
013
113
01569
11569
01569
11569
013
113

simplify101.0ms

Counts
94 → 94
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
052761398

prune95.0ms

Filtered
66 candidates to 94 candidates (-42.4%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New87794
Fresh145
Picked101
Done000
Total8911100

Merged error: 0.3b

Counts
100 → 11

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (-.f64 (*.f64 x -2) eps) -2))))
0.2b
(/.f64 (-.f64 (*.f64 x -2) eps) -2)
0.3b
(*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (-.f64 (*.f64 x -2) eps) -2)))
3.7b
(sin.f64 (/.f64 (-.f64 (*.f64 x -2) eps) -2))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt_binary64
15×*-un-lft-identity_binary64 add-cube-cbrt_binary64
13×add-exp-log_binary64 add-cbrt-cube_binary64
11×pow1_binary64
times-frac_binary64
associate-*l*_binary64
pow-prod-down_binary64 add-log-exp_binary64 cbrt-unprod_binary64 associate-*r*_binary64 prod-exp_binary64 insert-posit16
associate-/r*_binary64 associate-/l*_binary64
associate-/l/_binary64 div-sub_binary64 sin-mult_binary64 *-commutative_binary64
sin-diff_binary64 flip3--_binary64 cbrt-undiv_binary64 associate-*r/_binary64 unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64 flip--_binary64
Counts
4 → 80
Calls
4 calls:
13.0ms
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (-.f64 (*.f64 x -2) eps) -2))))
8.0ms
(/.f64 (-.f64 (*.f64 x -2) eps) -2)
11.0ms
(*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (-.f64 (*.f64 x -2) eps) -2)))
6.0ms
(sin.f64 (/.f64 (-.f64 (*.f64 x -2) eps) -2))

series243.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (-.f64 (*.f64 x -2) eps) -2))))
55.0ms
(/.f64 (-.f64 (*.f64 x -2) eps) -2)
65.0ms
(*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (-.f64 (*.f64 x -2) eps) -2)))
55.0ms
(sin.f64 (/.f64 (-.f64 (*.f64 x -2) eps) -2))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
02149
12149
02149
12149
013
113
03139
13139
03139
13139
013
113
02029
12029
02029
12029
013
113
03319
13319
03319
13319
013
113

simplify124.0ms

Counts
92 → 92
Iterations

Useful iterations: 0 (96.0ms)

IterNodesCost
049431466
149431466

prune104.0ms

Filtered
72 candidates to 92 candidates (-27.8%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New85792
Fresh5510
Picked101
Done000
Total9112103

Merged error: 0.1b

Counts
103 → 12

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(-.f64 (*.f64 (sin.f64 x) (cos.f64 (/.f64 eps -2))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 eps -2))))
0.1b
(*.f64 (cos.f64 x) (sin.f64 (/.f64 eps -2)))
0.1b
(*.f64 (sin.f64 x) (cos.f64 (/.f64 eps -2)))
0.2b
(*.f64 (sin.f64 (/.f64 eps 2)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 (/.f64 eps -2))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 eps -2)))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt_binary64
10×*-un-lft-identity_binary64 pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
associate-*r*_binary64 associate-*l*_binary64
add-log-exp_binary64
insert-posit16
pow-prod-down_binary64 sub-neg_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 prod-exp_binary64 *-commutative_binary64
flip3--_binary64 associate-*r/_binary64 flip--_binary64
diff-log_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 sin-cos-mult_binary64
Counts
4 → 74
Calls
4 calls:
7.0ms
(-.f64 (*.f64 (sin.f64 x) (cos.f64 (/.f64 eps -2))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 eps -2))))
7.0ms
(*.f64 (cos.f64 x) (sin.f64 (/.f64 eps -2)))
6.0ms
(*.f64 (sin.f64 x) (cos.f64 (/.f64 eps -2)))
14.0ms
(*.f64 (sin.f64 (/.f64 eps 2)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 (/.f64 eps -2))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 eps -2)))))

series229.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(-.f64 (*.f64 (sin.f64 x) (cos.f64 (/.f64 eps -2))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 eps -2))))
54.0ms
(*.f64 (cos.f64 x) (sin.f64 (/.f64 eps -2)))
55.0ms
(*.f64 (sin.f64 x) (cos.f64 (/.f64 eps -2)))
60.0ms
(*.f64 (sin.f64 (/.f64 eps 2)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 (/.f64 eps -2))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 eps -2)))))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
02879
12879
02879
12879
013
113
01419
11419
01419
11419
013
113
01419
11419
01419
11419
013
113
02089
12089
02089
12089
013
113

simplify102.0ms

Counts
86 → 86
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
056701863

prune111.0ms

Filtered
61 candidates to 86 candidates (-41.0%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New77986
Fresh8311
Picked101
Done000
Total861298

Merged error: 0.0b

Counts
98 → 12

regimes69.0ms

Accuracy

0% (1.2b remaining)

Error of 1.3b against oracle of 0.1b and baseline of 1.3b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
05157
15157

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.6s4462×body1280valid
574.0ms635×body2560valid
429.0ms1823×body640valid
111.0ms697×body320valid
32.0ms303×body160valid
4.0ms80×body80valid

Profiling

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