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

sample37.0ms

Algorithm

intervals

Results

30.0ms

256×

body

valid

simplify54.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5203	71

prune10.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 25.9b

Counts

2 → 2

localize40.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808)
0.3b	(*.f64 763919671262763/18014398509481984 (pow.f64 x 4))
12.0b	(.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)))))
25.4b	(/.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

41×	`add-sqr-sqrt_binary64`
26×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
25×	`associate-r_binary64`
21×	`add-exp-log_binary64`
19×	`times-frac_binary64`
15×	`add-cbrt-cube_binary64`
13×	`associate-l_binary64`
8×	`unswap-sqr_binary64` `unpow-prod-down_binary64` `prod-exp_binary64`
6×	`pow1_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `sqr-pow_binary64` `associate-/r/_binary64`
3×	`flip3-+_binary64` `associate-/r_binary64` `associate-/l_binary64` `flip-+_binary64` `*-commutative_binary64`
2×	`pow-to-exp_binary64` `associate-/l/_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `div-exp_binary64` `pow-exp_binary64`
1×	`pow-prod-down_binary64` `associate-*r/_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

4 → 115

Calls

4 calls:

5.0ms	(*.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808)
6.0ms	(*.f64 763919671262763/18014398509481984 (pow.f64 x 4))
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)))))
39.0ms	(/.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))))

series59.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(*.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808)
4.0ms	(*.f64 763919671262763/18014398509481984 (pow.f64 x 4))
28.0ms	(.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)))))
21.0ms	(/.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))))

simplify109.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4915	5941
1	4915	5941

prune530.0ms

Filtered

92 candidates to 127 candidates (-38.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	127	2	129

Merged error: 0b

Counts

129 → 2

localize10.0ms

Local error

Found 3 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)))

0.1b

(/.f64 370645858300289935006419108089/2422807564493828181570755855648 (pow.f64 x 5))

0.5b

(/.f64 1660320414109913/6603827387272392 (pow.f64 x 3))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 129

Calls

3 calls:

38.0ms

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

5.0ms

(/.f64 370645858300289935006419108089/2422807564493828181570755855648 (pow.f64 x 5))

6.0ms

(/.f64 1660320414109913/6603827387272392 (pow.f64 x 3))

series14.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms

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

5.0ms

(/.f64 370645858300289935006419108089/2422807564493828181570755855648 (pow.f64 x 5))

4.0ms

(/.f64 1660320414109913/6603827387272392 (pow.f64 x 3))

simplify48.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5436	1500

prune85.0ms

Filtered

85 candidates to 138 candidates (-62.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	138	2	140

Merged error: 0b

Counts

140 → 2

regimes32.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 29.6b

bsearch66.0ms

Steps

Iters	Range		Point
10	1.5426663220903302e-12	5790.652712376249	772.95191116061
9	-24480772249020.25	-7377082.921789185	-962984469.0356014

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	95	95
1	95	95

end0.0ms

sample1.1s

Algorithm

intervals

Results

959.0ms

8000×

body

valid

Details

analyze8.0ms

sample37.0ms

simplify54.0ms

prune10.0ms

localize40.0ms

rewrite86.0ms

series59.0ms

simplify109.0ms

prune530.0ms

localize10.0ms

rewrite53.0ms

series14.0ms

simplify48.0ms

prune85.0ms

regimes32.0ms

bsearch66.0ms

simplify3.0ms

end0.0ms

sample1.1s

Profiling