Details

Time bar (total: 7.0s)

analyze769.0ms

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
12.5%87.4%0.1%5
18.7%81.2%0.1%6
21.9%78%0.1%7
23.4%76.5%0.1%8
24.2%75.7%0.1%9
24.6%75.3%0.1%10
24.8%75.1%0.1%11
24.9%75%0.1%12
24.9%75%0.1%13
25%75%0.1%14

sample81.0ms

Algorithm
intervals
Results
40.0ms100×body1280valid
15.0ms74×body640valid
12.0ms14×body2560valid
3.0ms24×body320valid
2.0ms38×body80valid
1.0msbody160valid

simplify25.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (11.0ms)

IterNodesCost
07311
17311

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 38.8b

Counts
2 → 1

localize12.0ms

Local error

Found 2 expressions with local error:

1.0b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
3.8b
(tan.f64 (+.f64 x eps))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64 add-log-exp_binary64 add-sqr-sqrt_binary64 tan-quot_binary64
tan-sum_binary64 pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 insert-posit16 frac-sub_binary64
sub-neg_binary64 flip3--_binary64 diff-log_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 flip--_binary64
Counts
2 → 26
Calls
2 calls:
9.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
5.0ms
(tan.f64 (+.f64 x eps))

series1.7s

Counts
2 → 6
Calls
2 calls:
655.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
999.0ms
(tan.f64 (+.f64 x eps))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0413319
0413319
013
113
0250089
0250089
013
113

simplify180.0ms

Counts
32 → 32
Iterations

Useful iterations: 0 (160.0ms)

IterNodesCost
04807454
14807454

prune40.0ms

Filtered
26 candidates to 32 candidates (-23.1%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New211132
Fresh000
Picked101
Done000
Total221133

Merged error: 20.6b

Counts
33 → 11

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(+.f64 (tan.f64 x) (tan.f64 eps))
0.1b
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
0.2b
(*.f64 (tan.f64 x) (tan.f64 eps))
2.2b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
27×*-un-lft-identity_binary64
22×add-sqr-sqrt_binary64
15×add-cube-cbrt_binary64
13×times-frac_binary64
tan-quot_binary64
add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
pow1_binary64
distribute-lft-out_binary64
associate-/l*_binary64 insert-posit16
associate-/l/_binary64 associate-/r*_binary64 associate-*r*_binary64 associate-*l*_binary64
flip3-+_binary64 flip3--_binary64 frac-add_binary64 associate-/r/_binary64 difference-of-squares_binary64 flip--_binary64 flip-+_binary64
pow-prod-down_binary64 sub-neg_binary64 diff-log_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 associate-*r/_binary64 unswap-sqr_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 distribute-lft-out--_binary64 div-inv_binary64 div-exp_binary64 +-commutative_binary64 frac-sub_binary64 frac-times_binary64 associate-*l/_binary64 sum-log_binary64 *-commutative_binary64
Counts
4 → 89
Calls
4 calls:
6.0ms
(+.f64 (tan.f64 x) (tan.f64 eps))
11.0ms
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
6.0ms
(*.f64 (tan.f64 x) (tan.f64 eps))
16.0ms
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))

series224.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(+.f64 (tan.f64 x) (tan.f64 eps))
57.0ms
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
52.0ms
(*.f64 (tan.f64 x) (tan.f64 eps))
63.0ms
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
02989
12989
02989
12989
013
113
01009
11009
01009
11009
013
113
01829
11829
01829
11829
013
113
01019
11019
01019
11019
013
113

simplify118.0ms

Counts
101 → 101
Iterations

Useful iterations: 0 (86.0ms)

IterNodesCost
050272269

prune125.0ms

Filtered
73 candidates to 101 candidates (-38.4%)
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New8516101
Fresh8210
Picked101
Done000
Total9418112

Merged error: 20.4b

Counts
112 → 18

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (tan.f64 x) (tan.f64 eps))
0.2b
(*.f64 (tan.f64 x) (tan.f64 eps))
0.3b
(*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps)))
2.2b
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
47×pow1_binary64
45×tan-quot_binary64
21×frac-times_binary64
20×add-exp-log_binary64 add-cbrt-cube_binary64
19×pow-prod-down_binary64
15×associate-*r/_binary64
14×associate-*l/_binary64
12×add-sqr-sqrt_binary64
10×cbrt-unprod_binary64 prod-exp_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64
associate-*r*_binary64 associate-*l*_binary64
add-log-exp_binary64
frac-sub_binary64
pow-prod-up_binary64 pow-sqr_binary64 insert-posit16
*-commutative_binary64
flip3-+_binary64 pow-plus_binary64 unswap-sqr_binary64 flip-+_binary64 associate--l+_binary64
sub-neg_binary64 flip3--_binary64 swap-sqr_binary64 diff-log_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 flip--_binary64 pow2_binary64
Counts
4 → 113
Calls
4 calls:
7.0ms
(*.f64 (tan.f64 x) (tan.f64 eps))
7.0ms
(*.f64 (tan.f64 x) (tan.f64 eps))
14.0ms
(*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps)))
17.0ms
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))

series229.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(*.f64 (tan.f64 x) (tan.f64 eps))
54.0ms
(*.f64 (tan.f64 x) (tan.f64 eps))
55.0ms
(*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps)))
68.0ms
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
03209
13209
03209
13209
013
113
01709
11709
01709
11709
013
113
01009
11009
01009
11009
013
113
01009
11009
01009
11009
013
113

simplify103.0ms

Counts
125 → 125
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
050832604

prune137.0ms

Filtered
76 candidates to 125 candidates (-64.5%)
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New1196125
Fresh51217
Picked101
Done000
Total12518143

Merged error: 20.4b

Counts
143 → 18

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (tan.f64 x) (tan.f64 eps))
0.2b
(*.f64 (tan.f64 x) (tan.f64 eps))
0.2b
(*.f64 (tan.f64 eps) (*.f64 (tan.f64 x) (tan.f64 eps)))
2.2b
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (*.f64 (tan.f64 eps) (*.f64 (tan.f64 x) (tan.f64 eps)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
25×tan-quot_binary64
13×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-sqr-sqrt_binary64
*-un-lft-identity_binary64 associate-*r/_binary64 add-cube-cbrt_binary64 associate-*l*_binary64 frac-times_binary64
associate-*r*_binary64
add-log-exp_binary64 associate-*l/_binary64
pow-prod-down_binary64 cbrt-unprod_binary64 prod-exp_binary64 frac-sub_binary64
insert-posit16
*-commutative_binary64
flip3-+_binary64 unswap-sqr_binary64 flip-+_binary64 associate--l+_binary64
sub-neg_binary64 flip3--_binary64 diff-log_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 flip--_binary64
Counts
4 → 89
Calls
4 calls:
7.0ms
(*.f64 (tan.f64 x) (tan.f64 eps))
7.0ms
(*.f64 (tan.f64 x) (tan.f64 eps))
12.0ms
(*.f64 (tan.f64 eps) (*.f64 (tan.f64 x) (tan.f64 eps)))
16.0ms
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (*.f64 (tan.f64 eps) (*.f64 (tan.f64 x) (tan.f64 eps)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))

series227.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(*.f64 (tan.f64 x) (tan.f64 eps))
53.0ms
(*.f64 (tan.f64 x) (tan.f64 eps))
56.0ms
(*.f64 (tan.f64 eps) (*.f64 (tan.f64 x) (tan.f64 eps)))
64.0ms
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (*.f64 (tan.f64 eps) (*.f64 (tan.f64 x) (tan.f64 eps)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
02869
12869
02869
12869
013
113
01189
11189
01189
11189
013
113
01009
11009
01009
11009
013
113
01009
11009
01009
11009
013
113

simplify125.0ms

Counts
101 → 101
Iterations

Useful iterations: 0 (92.0ms)

IterNodesCost
051712257

prune99.0ms

Filtered
72 candidates to 101 candidates (-40.3%)
Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New1001101
Fresh01717
Picked011
Done000
Total10019119

Merged error: 20.4b

Counts
119 → 19

regimes102.0ms

Accuracy

0% (0.5b remaining)

Error of 21.3b against oracle of 20.8b and baseline of 21.3b

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
07049
17049

end0.0ms

sample2.6s

Algorithm
intervals
Results
1.3s3314×body1280valid
522.0ms612×body2560valid
382.0ms1824×body640valid
101.0ms749×body320valid
50.0ms1154×body80valid
33.0ms347×body160valid

Profiling

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