Details

analyze94.0ms (1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	11
1	71	11
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	25%	25%	3
50%	12.5%	37.5%	4
50%	6.2%	43.8%	5
50%	3.1%	46.9%	6
50%	1.6%	48.5%	7
50%	0.8%	49.2%	8
50%	0.4%	49.6%	9
50%	0.2%	49.8%	10
50%	0.1%	49.9%	11
50%	0%	50%	12
50%	0%	50%	13
50%	0%	50%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample22.0ms (0.2%)

Algorithm

1×

intervals

Results

6.0ms	62×	body	1024	valid
3.0ms	130×	body	128	valid
3.0ms	36×	body	512	valid
1.0ms	9×	body	2048	valid
1.0ms	19×	body	256	valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	71	11
1	71	11

prune2.0ms (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

Error

31.2b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

3.2b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

rewrite40.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

30.5b

Rules

11×	`add-sqr-sqrt_binary64_1805` `sqrt-prod_binary64_1799`
10×	`*-un-lft-identity_binary64_1783`
6×	`cancel-sign-sub-inv_binary64_1749`
4×	`difference-of-squares_binary64_1752`
3×	`add-log-exp_binary64_1822` `add-cube-cbrt_binary64_1818` `distribute-lft-out--_binary64_1735`
1×	`diff-log_binary64_1875` `pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `flip3--_binary64_1787` `sub-neg_binary64_1776` `flip--_binary64_1758` `distribute-lft-out_binary64_1734`

Counts

1 → 24

Calls

1 calls:

12.0ms

(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

Compiler

Compiled 364 to 225 computations (38.2% saved)

series31.0ms (0.3%)

Error

30.3b

Counts

1 → 3

Calls

1 calls:

28.0ms

(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

Compiler

Compiled 109 to 91 computations (16.5% saved)

simplify62.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5280	397

prune27.0ms (0.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	24	3	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	4	28

Error

0.2b

Counts

28 → 4

Compiler

Compiled 352 to 231 computations (34.4% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
0.2b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))

rewrite95.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

48×	`*-un-lft-identity_binary64_1783`
20×	`sqrt-prod_binary64_1799` `distribute-lft-out_binary64_1734`
18×	`times-frac_binary64_1789`
13×	`add-cube-cbrt_binary64_1818` `add-sqr-sqrt_binary64_1805`
6×	`add-exp-log_binary64_1821` `associate-/r*_binary64_1727`
4×	`add-log-exp_binary64_1822` `add-cbrt-cube_binary64_1819`
3×	`pow1_binary64_1844` `associate-/l*_binary64_1728`
2×	`div-exp_binary64_1834` `flip3-+_binary64_1786` `associate-/r/_binary64_1729` `flip-+_binary64_1757`
1×	`inv-pow_binary64_1868` `pow-flip_binary64_1857` `1-exp_binary64_1827` `rec-exp_binary64_1833` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `div-inv_binary64_1780` `sum-log_binary64_1874` `+-commutative_binary64_1713`

Counts

2 → 59

Calls

2 calls:

10.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
7.0ms	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))

Compiler

Compiled 1029 to 749 computations (27.2% saved)

series34.0ms (0.4%)

Error

0.2b

Counts

2 → 6

Calls

2 calls:

17.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
14.0ms	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))

Compiler

Compiled 104 to 102 computations (1.9% saved)

simplify105.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4780	1037
1	4780	1037

prune72.0ms (0.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	59	6	65
Fresh	2	0	2
Picked	0	1	1
Done	1	0	1
Total	62	7	69

Error

0.0b

Counts

69 → 7

Compiler

Compiled 1040 to 757 computations (27.2% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
0.1b	(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
0.2b	(/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
0.2b	(/.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))

rewrite1.6s (16.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

742×	`*-un-lft-identity_binary64_1783`
700×	`sqrt-prod_binary64_1799`
594×	`times-frac_binary64_1789`
280×	`distribute-lft-out_binary64_1734`
254×	`add-sqr-sqrt_binary64_1805`
252×	`add-cube-cbrt_binary64_1818`
36×	`associate-/l*_binary64_1728`
28×	`sqrt-div_binary64_1800`
24×	`associate-/r/_binary64_1729`
18×	`associate-/r*_binary64_1727`
17×	`add-exp-log_binary64_1821`
15×	`pow1_binary64_1844`
14×	`flip3-+_binary64_1786` `flip-+_binary64_1757`
12×	`div-inv_binary64_1780`
11×	`add-cbrt-cube_binary64_1819`
8×	`pow-flip_binary64_1857` `div-exp_binary64_1834`
7×	`pow1/2_binary64_1863` `sqrt-pow1_binary64_1801`
6×	`pow-div_binary64_1858`
4×	`add-log-exp_binary64_1822` `cbrt-undiv_binary64_1817`
2×	`inv-pow_binary64_1868` `1-exp_binary64_1827` `rec-exp_binary64_1833` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `rem-sqrt-square_binary64_1796`
1×	`associate-/l/_binary64_1730`

Counts

4 → 459

Calls

4 calls:

30.0ms	(/.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
15.0ms	(/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
8.0ms	(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
8.0ms	(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))

Compiler

Compiled 16963 to 12555 computations (26% saved)

series100.0ms (1.1%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

26.0ms	(/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
22.0ms	(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
22.0ms	(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
22.0ms	(/.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))

Compiler

Compiled 545 to 470 computations (13.8% saved)

simplify225.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

471 → 471

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4875	14772
1	4875	14772

prune1.1s (11.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	465	6	471
Fresh	1	4	5
Picked	0	1	1
Done	1	0	1
Total	467	11	478

Error

Counts

478 → 11

Compiler

Compiled 11698 to 8613 computations (26.4% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
0.2b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
0.2b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
0.3b	(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))

rewrite704.0ms (7.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

310×	`*-un-lft-identity_binary64_1783`
290×	`sqrt-prod_binary64_1799`
172×	`times-frac_binary64_1789`
144×	`add-sqr-sqrt_binary64_1805`
116×	`distribute-lft-out_binary64_1734`
88×	`add-cube-cbrt_binary64_1818`
43×	`swap-sqr_binary64_1750`
31×	`pow1_binary64_1844`
27×	`sqrt-pow1_binary64_1801` `associate-l_binary64_1724` `associate-r_binary64_1723`
16×	`unswap-sqr_binary64_1751`
14×	`add-exp-log_binary64_1821` `associate-/r/_binary64_1729`
12×	`associate-/r*_binary64_1727`
11×	`inv-pow_binary64_1868` `pow-flip_binary64_1857`
10×	`add-cbrt-cube_binary64_1819`
9×	`pow1/2_binary64_1863` `pow-prod-up_binary64_1853` `rem-sqrt-square_binary64_1796` `div-inv_binary64_1780`
7×	`flip3-+_binary64_1786` `flip-+_binary64_1757`
6×	`associate-/l*_binary64_1728`
5×	`pow-prod-down_binary64_1854` `sqrt-div_binary64_1800` `pow-sqr_binary64_1756`
4×	`add-log-exp_binary64_1822` `div-exp_binary64_1834`
3×	`sqr-abs_binary64_1798`
2×	`1-exp_binary64_1827` `rec-exp_binary64_1833` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `clear-num_binary64_1782`
1×	`pow2_binary64_1864` `pow-plus_binary64_1846` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `sqrt-unprod_binary64_1803` `rem-square-sqrt_binary64_1795` `frac-times_binary64_1793` `associate-l/_binary64_1726` `associate-r/_binary64_1725` `*-commutative_binary64_1714`

Counts

4 → 281

Calls

4 calls:

41.0ms	(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
14.0ms	(sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
10.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
10.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))

Compiler

Compiled 9177 to 6931 computations (24.5% saved)

series93.0ms (1%)

Error

Counts

4 → 12

Calls

4 calls:

27.0ms	(sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
20.0ms	(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
19.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
18.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))

Compiler

Compiled 545 to 477 computations (12.5% saved)

simplify122.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

293 → 293

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5824	5963

prune467.0ms (5%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	292	1	293
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	293	11	304

Error

Counts

304 → 11

Compiler

Compiled 6834 to 5038 computations (26.3% saved)

regimes522.0ms (5.6%)

Accuracy

Total 0.2b remaining (99.5%)

Threshold costs 0.2b (99.5%)

Compiler

Compiled 7637 to 5955 computations (22% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	27
1	15	27

end0.0ms (0%)

sample3.9s (41.6%)

Algorithm

1×

intervals

Results

215.0ms	2043×	body	1024	valid
125.0ms	4306×	body	128	valid
71.0ms	957×	body	512	valid
28.0ms	480×	body	256	valid
27.0ms	214×	body	2048	valid
0.0ms	2×	body	128	nan

Compiler

Compiled 3816 to 2975 computations (22% saved)

Details

analyze94.0ms (1%)

sample22.0ms (0.2%)

simplify10.0ms (0.1%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite40.0ms (0.4%)

series31.0ms (0.3%)

simplify62.0ms (0.7%)

prune27.0ms (0.3%)

localize6.0ms (0.1%)

rewrite95.0ms (1%)

series34.0ms (0.4%)

simplify105.0ms (1.1%)

prune72.0ms (0.8%)

localize9.0ms (0.1%)

rewrite1.6s (16.6%)

series100.0ms (1.1%)

simplify225.0ms (2.4%)

prune1.1s (11.2%)

localize9.0ms (0.1%)

rewrite704.0ms (7.5%)

series93.0ms (1%)

simplify122.0ms (1.3%)

prune467.0ms (5%)

regimes522.0ms (5.6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.9s (41.6%)

Profiling