Details

analyze10.0ms (0.1%)

Algorithm

1×

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

Compiler

Compiled 174 to 47 computations (73% saved)

sample44.0ms (0.6%)

Algorithm

1×

intervals

Results

30.0ms

256×

body

128

valid

Compiler

Compiled 347 to 94 computations (72.9% saved)

simplify156.0ms (2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5240	106

prune11.0ms (0.1%)

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

Error

29.8b

Counts

2 → 2

Compiler

Compiled 315 to 160 computations (49.2% saved)

localize44.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 825478423409049/2305843009213693952 (pow.f64 x 12))
0.3b	(.f64 3782789308857969/36028797018963968 (.f64 x x))
14.3b	(.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)))))
29.1b	(/.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))))

rewrite1.2s (16.3%)

Algorithm

1×	rewrite-expression-head

Error

29.6b

Rules

35×	`add-sqr-sqrt_binary64_1805`
24×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
23×	`associate-r_binary64_1723`
21×	`add-exp-log_binary64_1821`
19×	`times-frac_binary64_1789`
18×	`add-cbrt-cube_binary64_1819`
11×	`pow1_binary64_1844`
9×	`associate-l_binary64_1724`
8×	`prod-exp_binary64_1832`
6×	`cbrt-unprod_binary64_1816` `unswap-sqr_binary64_1751`
4×	`add-log-exp_binary64_1822` `associate-/r/_binary64_1729` `pow-prod-down_binary64_1854` `unpow-prod-down_binary64_1862`
3×	`flip3-+_binary64_1786` `flip-+_binary64_1757` `associate-/l_binary64_1728` `associate-/r_binary64_1727` `*-commutative_binary64_1714`
2×	`div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `div-inv_binary64_1780` `associate-/l/_binary64_1730` `sqr-pow_binary64_1755`
1×	`frac-2neg_binary64_1794` `clear-num_binary64_1782` `associate-*r/_binary64_1725` `pow-to-exp_binary64_1852` `pow-exp_binary64_1851`

Counts

4 → 109

Calls

4 calls:

37.0ms	(/.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))))
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)))))
6.0ms	(.f64 3782789308857969/36028797018963968 (.f64 x x))
6.0ms	(*.f64 825478423409049/2305843009213693952 (pow.f64 x 12))

Compiler

Compiled 11687 to 9121 computations (22% saved)

series506.0ms (6.6%)

Error

Counts

4 → 26

Calls

4 calls:

198.0ms	(.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)))))
163.0ms	(/.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))))
56.0ms	(*.f64 825478423409049/2305843009213693952 (pow.f64 x 12))
42.0ms	(.f64 3782789308857969/36028797018963968 (.f64 x x))

Compiler

Compiled 1940 to 1602 computations (17.4% saved)

simplify133.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4937	8980
1	4937	8980

prune819.0ms (10.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	133	2	135
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	135	2	137

Error

Counts

137 → 2

Compiler

Compiled 11518 to 8990 computations (21.9% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (*.f64 24015124616067039/36028797018963968 (pow.f64 x 3)))
0.1b	(*.f64 21556931916393198394382988102651/81129638414606681695789005144064 (pow.f64 x 5))
0.1b	(*.f64 24015124616067039/36028797018963968 (pow.f64 x 3))
18.8b	(+.f64 (.f64 21556931916393198394382988102651/81129638414606681695789005144064 (pow.f64 x 5)) (-.f64 x (.f64 24015124616067039/36028797018963968 (pow.f64 x 3))))

rewrite127.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

23×	`add-sqr-sqrt_binary64_1805`
19×	`associate-r_binary64_1723`
14×	`add-exp-log_binary64_1821`
11×	`add-log-exp_binary64_1822` `add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
8×	`add-cbrt-cube_binary64_1819` `unpow-prod-down_binary64_1862`
7×	`unswap-sqr_binary64_1751`
6×	`prod-exp_binary64_1832` `associate-l_binary64_1724`
4×	`pow1_binary64_1844` `cube-prod_binary64_1811` `sqr-pow_binary64_1755`
2×	`diff-log_binary64_1875` `sum-log_binary64_1874` `sub-neg_binary64_1776` `associate-+r+_binary64_1715` `cancel-sign-sub-inv_binary64_1749` `pow-to-exp_binary64_1852` `pow-exp_binary64_1851` `cbrt-unprod_binary64_1816` `*-commutative_binary64_1714`
1×	`flip3-+_binary64_1786` `flip-+_binary64_1757` `associate-+r-_binary64_1717` `+-commutative_binary64_1713` `unpow3_binary64_1849` `cube-mult_binary64_1813` `flip3--_binary64_1787` `flip--_binary64_1758`

Counts

4 → 83

Calls

4 calls:

7.0ms	(+.f64 (.f64 21556931916393198394382988102651/81129638414606681695789005144064 (pow.f64 x 5)) (-.f64 x (.f64 24015124616067039/36028797018963968 (pow.f64 x 3))))
7.0ms	(*.f64 24015124616067039/36028797018963968 (pow.f64 x 3))
6.0ms	(*.f64 21556931916393198394382988102651/81129638414606681695789005144064 (pow.f64 x 5))
3.0ms	(-.f64 x (*.f64 24015124616067039/36028797018963968 (pow.f64 x 3)))

Compiler

Compiled 1696 to 1328 computations (21.7% saved)

series203.0ms (2.7%)

Error

Counts

4 → 17

Calls

4 calls:

69.0ms	(-.f64 x (*.f64 24015124616067039/36028797018963968 (pow.f64 x 3)))
47.0ms	(+.f64 (.f64 21556931916393198394382988102651/81129638414606681695789005144064 (pow.f64 x 5)) (-.f64 x (.f64 24015124616067039/36028797018963968 (pow.f64 x 3))))
41.0ms	(*.f64 21556931916393198394382988102651/81129638414606681695789005144064 (pow.f64 x 5))
35.0ms	(*.f64 24015124616067039/36028797018963968 (pow.f64 x 3))

Compiler

Compiled 506 to 420 computations (17% saved)

simplify57.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4953	1222
1	4953	1222

prune102.0ms (1.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	100	2	102

Error

Counts

102 → 2

Compiler

Compiled 1726 to 1336 computations (22.6% saved)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.3b

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

0.3b

(/.f64 90075934112096643708144967800859671858474104609/7999901474247532368018484521926651180403835008 (pow.f64 x 7))

0.3b

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

rewrite324.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

78×	`times-frac_binary64_1789`
60×	`add-cube-cbrt_binary64_1818` `add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783`
36×	`unpow-prod-down_binary64_1862`
26×	`associate-/r*_binary64_1727`
18×	`add-exp-log_binary64_1821`
12×	`sqr-pow_binary64_1755` `cube-prod_binary64_1811`
9×	`div-exp_binary64_1834` `add-cbrt-cube_binary64_1819` `associate-/l*_binary64_1728`
4×	`unpow3_binary64_1849` `cube-mult_binary64_1813`
3×	`pow1_binary64_1844` `pow-to-exp_binary64_1852` `pow-exp_binary64_1851` `add-log-exp_binary64_1822` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `div-inv_binary64_1780`

Counts

3 → 155

Calls

3 calls:

6.0ms

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

5.0ms

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

4.0ms

(/.f64 90075934112096643708144967800859671858474104609/7999901474247532368018484521926651180403835008 (pow.f64 x 7))

Compiler

Compiled 4492 to 3635 computations (19.1% saved)

series136.0ms (1.8%)

Error

Counts

3 → 9

Calls

3 calls:

49.0ms

(/.f64 90075934112096643708144967800859671858474104609/7999901474247532368018484521926651180403835008 (pow.f64 x 7))

45.0ms

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

32.0ms

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

Compiler

Compiled 567 to 478 computations (15.7% saved)

simplify86.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4979	2191
1	4979	2191

prune290.0ms (3.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	164	0	164
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	164	2	166

Error

Counts

166 → 2

Compiler

Compiled 4396 to 3511 computations (20.1% saved)

regimes355.0ms (4.6%)

Accuracy

Total 0.2b remaining (99.4%)

Threshold costs 0.2b (99.4%)

Compiler

Compiled 4580 to 3328 computations (27.3% saved)

bsearch117.0ms (1.5%)

Steps

Iters	Range		Point
10	3.963560853711849e-10	1237.079520604623	1.1356453934542152
9	-586.8114442528167	-0.0003793120238737274	-1.4787843671655092

Compiler

Compiled 1 to 1 computations (0% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	73	87
1	73	87

end0.0ms (0%)

sample2.8s (37.3%)

Algorithm

1×

intervals

Results

954.0ms

8000×

body

128

valid

Compiler

Compiled 2349 to 1713 computations (27.1% saved)

Details

analyze10.0ms (0.1%)

sample44.0ms (0.6%)

simplify156.0ms (2%)

prune11.0ms (0.1%)

localize44.0ms (0.6%)

rewrite1.2s (16.3%)

series506.0ms (6.6%)

simplify133.0ms (1.7%)

prune819.0ms (10.7%)

localize8.0ms (0.1%)

rewrite127.0ms (1.7%)

series203.0ms (2.7%)

simplify57.0ms (0.8%)

prune102.0ms (1.3%)

localize13.0ms (0.2%)

rewrite324.0ms (4.2%)

series136.0ms (1.8%)

simplify86.0ms (1.1%)

prune290.0ms (3.8%)

regimes355.0ms (4.6%)

bsearch117.0ms (1.5%)

simplify4.0ms (0%)

end0.0ms (0%)

sample2.8s (37.3%)

Profiling