Details

Time bar (total: 9.6s)

analyze2.0ms

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

sample95.0ms

Algorithm
intervals
Results
49.0ms113×body1280valid
17.0ms18×body2560valid
15.0ms59×body640valid
4.0ms22×body320valid
2.0ms35×body80valid
1.0msbody160valid

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: 39.0b

Counts
2 → 1

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64 add-log-exp_binary64 add-sqr-sqrt_binary64
pow1_binary64 add-cube-cbrt_binary64 sin-sum_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 insert-posit16
sub-neg_binary64 flip3--_binary64 diff-log_binary64 diff-sin_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 flip--_binary64 associate--l+_binary64
Counts
2 → 25
Calls
2 calls:
8.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
6.0ms
(sin.f64 (+.f64 x eps))

series1.8s

Counts
2 → 6
Calls
2 calls:
738.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
1.1s
(sin.f64 (+.f64 x eps))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0413259
0413259
013
113
0249799
1249799
0249799
1249799
013
113

simplify166.0ms

Counts
31 → 31
Iterations

Useful iterations: 0 (148.0ms)

IterNodesCost
04910390
14910390

prune30.0ms

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

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New28331
Fresh000
Picked101
Done000
Total29332

Merged error: 0.2b

Counts
32 → 3

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)
0.2b
(*.f64 (sin.f64 (/.f64 eps 2)) (cos.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2)))
3.6b
(cos.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))

rewrite36.0ms

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-cos-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)
7.0ms
(*.f64 (sin.f64 (/.f64 eps 2)) (cos.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2)))
9.0ms
(cos.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))

series1.8s

Counts
4 → 12
Calls
4 calls:
50.0ms
(+.f64 x (+.f64 x eps))
739.0ms
(/.f64 (+.f64 x (+.f64 x eps)) 2)
426.0ms
(*.f64 (sin.f64 (/.f64 eps 2)) (cos.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2)))
633.0ms
(cos.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0260239
0260239
013
113
050409
150409
050409
150409
013
113
0293599
0293599
013
113
01569
11569
01569
11569
013
113

simplify97.0ms

Counts
94 → 94
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
052641398

prune83.0ms

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

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New89594
Fresh022
Picked011
Done000
Total89897

Merged error: 0.2b

Counts
97 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (sin.f64 (/.f64 eps 2)) (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2)) 3)))
0.5b
(cbrt.f64 (pow.f64 (cos.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2)) 3))
0.5b
(pow.f64 (cos.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2)) 3)
3.6b
(cos.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-prod_binary64
24×add-sqr-sqrt_binary64
15×*-un-lft-identity_binary64 associate-*r*_binary64 add-cube-cbrt_binary64
10×unpow-prod-down_binary64 cube-prod_binary64
pow1_binary64 add-exp-log_binary64
add-cbrt-cube_binary64
unswap-sqr_binary64
add-log-exp_binary64 sqr-pow_binary64 insert-posit16
pow-unpow_binary64 associate-*l*_binary64 unpow3_binary64 cube-mult_binary64
pow-to-exp_binary64 pow-prod-down_binary64 rem-cbrt-cube_binary64 cbrt-unprod_binary64 pow1/3_binary64 pow-pow_binary64 rem-cube-cbrt_binary64 prod-exp_binary64 pow-exp_binary64 *-commutative_binary64
Counts
4 → 89
Calls
4 calls:
10.0ms
(*.f64 (sin.f64 (/.f64 eps 2)) (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2)) 3)))
3.0ms
(cbrt.f64 (pow.f64 (cos.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2)) 3))
3.0ms
(pow.f64 (cos.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2)) 3)
9.0ms
(cos.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))

series1.5s

Counts
4 → 12
Calls
4 calls:
59.0ms
(*.f64 (sin.f64 (/.f64 eps 2)) (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2)) 3)))
53.0ms
(cbrt.f64 (pow.f64 (cos.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2)) 3))
760.0ms
(pow.f64 (cos.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2)) 3)
632.0ms
(cos.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0260239
0260239
013
113
0286979
0286979
013
113
02019
12019
02019
12019
013
113
03019
13019
03019
13019
013
113

simplify141.0ms

Counts
101 → 101
Iterations

Useful iterations: 0 (109.0ms)

IterNodesCost
053951866

prune80.0ms

Filtered
57 candidates to 101 candidates (-77.2%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New992101
Fresh246
Picked011
Done011
Total1018109

Merged error: 0.2b

Counts
109 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
0.1b
(*.f64 (cos.f64 x) (sin.f64 eps))
0.1b
(*.f64 (sin.f64 x) (cos.f64 eps))
2.7b
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt_binary64
11×add-log-exp_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
insert-posit16
pow-prod-down_binary64 diff-log_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 prod-exp_binary64 sum-log_binary64 *-commutative_binary64
flip3-+_binary64 sub-neg_binary64 flip3--_binary64 difference-of-squares_binary64 sin-cos-mult_binary64 distribute-lft-out--_binary64 +-commutative_binary64 flip--_binary64 flip-+_binary64 associate--l+_binary64
Counts
4 → 67
Calls
4 calls:
8.0ms
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
6.0ms
(*.f64 (cos.f64 x) (sin.f64 eps))
6.0ms
(*.f64 (sin.f64 x) (cos.f64 eps))
12.0ms
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))

series217.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
50.0ms
(*.f64 (cos.f64 x) (sin.f64 eps))
51.0ms
(*.f64 (sin.f64 x) (cos.f64 eps))
60.0ms
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
01809
11809
01809
11809
013
113
0919
1919
0919
1919
013
113
0919
1919
0919
1919
013
113
01439
11439
01439
11439
013
113

simplify109.0ms

Counts
79 → 79
Iterations

Useful iterations: 0 (85.0ms)

IterNodesCost
050511259

prune58.0ms

Filtered
57 candidates to 79 candidates (-38.6%)
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New70979
Fresh055
Picked101
Done112
Total721587

Merged error: 0.1b

Counts
87 → 15

regimes73.0ms

Accuracy

0% (0.2b remaining)

Error of 0.4b against oracle of 0.3b and baseline of 0.4b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02821
12821

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.5s3384×body1280valid
605.0ms635×body2560valid
483.0ms1826×body640valid
145.0ms784×body320valid
59.0ms1033×body80valid
46.0ms338×body160valid

Profiling

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