Details

analyze8.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	50%	0%	4
50%	50%	0%	5
81.2%	18.7%	0%	6
100%	0%	0%	7

sample43.0ms

Algorithm

intervals

Results

35.0ms

256×

body

valid

simplify55.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5203	71

prune9.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 33.4b

Counts

2 → 1

localize44.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 x x) 1737369620307813/2251799813685248)
0.3b	(.f64 3782789308857969/36028797018963968 (.f64 x x))
17.6b	(.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 3782789308857969/36028797018963968 (.f64 x x))) (.f64 763919671262763/18014398509481984 (pow.f64 x 4))) (.f64 8375303961237363/1152921504606846976 (pow.f64 x 6))) (.f64 583843369866023/1152921504606846976 (pow.f64 x 8))) (.f64 825478423409049/4611686018427387904 (pow.f64 x 10))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 (.f64 x x) 1737369620307813/2251799813685248)) (.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (.f64 (pow.f64 x 6) 2502400853142105/36028797018963968)) (.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)) (.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808)) (.f64 825478423409049/2305843009213693952 (pow.f64 x 12)))))
32.8b	(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 3782789308857969/36028797018963968 (.f64 x x))) (.f64 763919671262763/18014398509481984 (pow.f64 x 4))) (.f64 8375303961237363/1152921504606846976 (pow.f64 x 6))) (.f64 583843369866023/1152921504606846976 (pow.f64 x 8))) (.f64 825478423409049/4611686018427387904 (pow.f64 x 10))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 (.f64 x x) 1737369620307813/2251799813685248)) (.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (.f64 (pow.f64 x 6) 2502400853142105/36028797018963968)) (.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)) (.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808)) (*.f64 825478423409049/2305843009213693952 (pow.f64 x 12))))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt_binary64`
22×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
21×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
19×	`associate-r_binary64` `times-frac_binary64`
16×	`pow1_binary64`
8×	`cbrt-unprod_binary64` `prod-exp_binary64`
7×	`pow-prod-down_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `associate-/r/_binary64` `unswap-sqr_binary64`
3×	`flip3-+_binary64` `associate-/r_binary64` `associate-/l_binary64` `flip-+_binary64` `*-commutative_binary64`
2×	`associate-/l/_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`associate-*r/_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

4 → 103

Calls

4 calls:

6.0ms	(.f64 (.f64 x x) 1737369620307813/2251799813685248)
6.0ms	(.f64 3782789308857969/36028797018963968 (.f64 x x))
32.0ms	(.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 3782789308857969/36028797018963968 (.f64 x x))) (.f64 763919671262763/18014398509481984 (pow.f64 x 4))) (.f64 8375303961237363/1152921504606846976 (pow.f64 x 6))) (.f64 583843369866023/1152921504606846976 (pow.f64 x 8))) (.f64 825478423409049/4611686018427387904 (pow.f64 x 10))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 (.f64 x x) 1737369620307813/2251799813685248)) (.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (.f64 (pow.f64 x 6) 2502400853142105/36028797018963968)) (.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)) (.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808)) (.f64 825478423409049/2305843009213693952 (pow.f64 x 12)))))
38.0ms	(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 3782789308857969/36028797018963968 (.f64 x x))) (.f64 763919671262763/18014398509481984 (pow.f64 x 4))) (.f64 8375303961237363/1152921504606846976 (pow.f64 x 6))) (.f64 583843369866023/1152921504606846976 (pow.f64 x 8))) (.f64 825478423409049/4611686018427387904 (pow.f64 x 10))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 (.f64 x x) 1737369620307813/2251799813685248)) (.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (.f64 (pow.f64 x 6) 2502400853142105/36028797018963968)) (.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)) (.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808)) (*.f64 825478423409049/2305843009213693952 (pow.f64 x 12))))

series60.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(.f64 (.f64 x x) 1737369620307813/2251799813685248)
3.0ms	(.f64 3782789308857969/36028797018963968 (.f64 x x))
26.0ms	(.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 3782789308857969/36028797018963968 (.f64 x x))) (.f64 763919671262763/18014398509481984 (pow.f64 x 4))) (.f64 8375303961237363/1152921504606846976 (pow.f64 x 6))) (.f64 583843369866023/1152921504606846976 (pow.f64 x 8))) (.f64 825478423409049/4611686018427387904 (pow.f64 x 10))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 (.f64 x x) 1737369620307813/2251799813685248)) (.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (.f64 (pow.f64 x 6) 2502400853142105/36028797018963968)) (.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)) (.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808)) (.f64 825478423409049/2305843009213693952 (pow.f64 x 12)))))
27.0ms	(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 3782789308857969/36028797018963968 (.f64 x x))) (.f64 763919671262763/18014398509481984 (pow.f64 x 4))) (.f64 8375303961237363/1152921504606846976 (pow.f64 x 6))) (.f64 583843369866023/1152921504606846976 (pow.f64 x 8))) (.f64 825478423409049/4611686018427387904 (pow.f64 x 10))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 (.f64 x x) 1737369620307813/2251799813685248)) (.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (.f64 (pow.f64 x 6) 2502400853142105/36028797018963968)) (.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)) (.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808)) (*.f64 825478423409049/2305843009213693952 (pow.f64 x 12))))

simplify95.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4969	5822
1	4969	5822

prune507.0ms

Filtered

80 candidates to 115 candidates (-43.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	114	2	116

Merged error: 0b

Counts

116 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 1660320414109913/6603827387272392 (pow.f64 x 3)) (+.f64 (/.f64 370645858300289935006419108089/2422807564493828181570755855648 (pow.f64 x 5)) (/.f64 1/2 x)))
0.0b	(+.f64 (/.f64 370645858300289935006419108089/2422807564493828181570755855648 (pow.f64 x 5)) (/.f64 1/2 x))
0.1b	(/.f64 370645858300289935006419108089/2422807564493828181570755855648 (pow.f64 x 5))
0.3b	(/.f64 1660320414109913/6603827387272392 (pow.f64 x 3))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

62×	`*-un-lft-identity_binary64` `times-frac_binary64`
45×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
24×	`unpow-prod-down_binary64`
19×	`associate-/r*_binary64`
14×	`add-exp-log_binary64`
12×	`cube-prod_binary64`
11×	`add-log-exp_binary64`
8×	`sqr-pow_binary64` `add-cbrt-cube_binary64`
7×	`distribute-lft-out_binary64`
6×	`associate-/l*_binary64` `div-exp_binary64`
5×	`frac-add_binary64`
4×	`pow1_binary64` `unpow3_binary64` `sum-log_binary64` `cube-mult_binary64`
3×	`flip3-+_binary64` `flip-+_binary64`
2×	`pow-to-exp_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `+-commutative_binary64` `pow-exp_binary64`
1×	`associate-+r+_binary64`

Counts

4 → 143

Calls

4 calls:

35.0ms	(+.f64 (/.f64 1660320414109913/6603827387272392 (pow.f64 x 3)) (+.f64 (/.f64 370645858300289935006419108089/2422807564493828181570755855648 (pow.f64 x 5)) (/.f64 1/2 x)))
19.0ms	(+.f64 (/.f64 370645858300289935006419108089/2422807564493828181570755855648 (pow.f64 x 5)) (/.f64 1/2 x))
5.0ms	(/.f64 370645858300289935006419108089/2422807564493828181570755855648 (pow.f64 x 5))
8.0ms	(/.f64 1660320414109913/6603827387272392 (pow.f64 x 3))

series28.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(+.f64 (/.f64 1660320414109913/6603827387272392 (pow.f64 x 3)) (+.f64 (/.f64 370645858300289935006419108089/2422807564493828181570755855648 (pow.f64 x 5)) (/.f64 1/2 x)))
12.0ms	(+.f64 (/.f64 370645858300289935006419108089/2422807564493828181570755855648 (pow.f64 x 5)) (/.f64 1/2 x))
5.0ms	(/.f64 370645858300289935006419108089/2422807564493828181570755855648 (pow.f64 x 5))
5.0ms	(/.f64 1660320414109913/6603827387272392 (pow.f64 x 3))

simplify53.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5581	1707

prune143.0ms

Filtered

97 candidates to 155 candidates (-59.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	155	0	155
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	155	2	157

Merged error: 0b

Counts

157 → 2

regimes41.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 31.6b

bsearch69.0ms

Steps

Iters	Range		Point
10	173.43076682192907	2020980292669388.8	657.9845054697312
10	-6437.98915042444	-2.925899348525949e-10	-3627.335486949125

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	95	95
1	95	95

end0.0ms

sample1.0s

Algorithm

intervals

Results

942.0ms

8000×

body

valid

Details

analyze8.0ms

sample43.0ms

simplify55.0ms

prune9.0ms

localize44.0ms

rewrite86.0ms

series60.0ms

simplify95.0ms

prune507.0ms

localize10.0ms

rewrite74.0ms

series28.0ms

simplify53.0ms

prune143.0ms

regimes41.0ms

bsearch69.0ms

simplify3.0ms

end0.0ms

sample1.0s

Profiling