Details

analyze175.0ms (3.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	681	19
1	681	19
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample24.0ms (0.4%)

Algorithm

1×

intervals

Results

8.0ms	63×	body	1024	valid
5.0ms	138×	body	128	valid
3.0ms	32×	body	512	valid
1.0ms	8×	body	2048	valid
1.0ms	15×	body	256	valid

Compiler

Compiled 27 to 22 computations (18.5% saved)

simplify78.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	681	19
1	681	19

prune3.0ms (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

29.0b

Counts

2 → 1

Compiler

Compiled 26 to 20 computations (23.1% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (+.f64 x 1) (-.f64 x 1))
0.0b	(/.f64 x (+.f64 x 1))
2.0b	(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))

rewrite70.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

148×	`*-un-lft-identity_binary64_1783`
88×	`times-frac_binary64_1789`
85×	`add-sqr-sqrt_binary64_1805`
37×	`add-cube-cbrt_binary64_1818`
34×	`cancel-sign-sub-inv_binary64_1749`
27×	`distribute-lft-out_binary64_1734`
22×	`difference-of-squares_binary64_1752` `distribute-lft-out--_binary64_1735`
11×	`associate-/r*_binary64_1727`
9×	`difference-of-sqr-1_binary64_1753`
7×	`add-cbrt-cube_binary64_1819` `associate-/l*_binary64_1728` `add-exp-log_binary64_1821`
6×	`associate-/r/_binary64_1729`
5×	`add-log-exp_binary64_1822`
3×	`flip3--_binary64_1787` `div-inv_binary64_1780` `flip--_binary64_1758` `pow1_binary64_1844`
2×	`associate-/l/_binary64_1730` `flip-+_binary64_1757` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `div-exp_binary64_1834` `flip3-+_binary64_1786` `clear-num_binary64_1782`
1×	`diff-log_binary64_1875` `frac-sub_binary64_1792` `sub-neg_binary64_1776`

Counts

3 → 147

Calls

3 calls:

43.0ms	(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
9.0ms	(/.f64 (+.f64 x 1) (-.f64 x 1))
5.0ms	(/.f64 x (+.f64 x 1))

series62.0ms (1.1%)

Counts

3 → 9

Calls

3 calls:

36.0ms	(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
13.0ms	(/.f64 (+.f64 x 1) (-.f64 x 1))
12.0ms	(/.f64 x (+.f64 x 1))

simplify83.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5658	2774

prune201.0ms (3.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	150	6	156
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	151	6	157

Error

0.1b

Counts

157 → 6

Compiler

Compiled 3164 to 2236 computations (29.3% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))))
0.0b	(/.f64 x (+.f64 x 1))
1.9b	(log.f64 (exp.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))))
2.0b	(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))

rewrite167.0ms (3%)

Algorithm

1×	rewrite-expression-head

Rules

276×	`*-un-lft-identity_binary64_1783`
156×	`times-frac_binary64_1789`
136×	`add-sqr-sqrt_binary64_1805`
102×	`cancel-sign-sub-inv_binary64_1749`
70×	`exp-sum_binary64_1829`
52×	`add-cube-cbrt_binary64_1818`
51×	`distribute-lft-out--_binary64_1735`
49×	`distribute-lft-out_binary64_1734`
38×	`log-prod_binary64_1869`
36×	`difference-of-squares_binary64_1752`
32×	`exp-prod_binary64_1835`
17×	`log-pow_binary64_1872`
12×	`difference-of-sqr-1_binary64_1753`
9×	`add-log-exp_binary64_1822`
8×	`associate-/r/_binary64_1729`
6×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821`
5×	`pow1_binary64_1844`
4×	`flip3--_binary64_1787` `div-inv_binary64_1780` `associate-/r*_binary64_1727` `flip--_binary64_1758`
3×	`associate-/l*_binary64_1728` `sub-neg_binary64_1776`
2×	`exp-diff_binary64_1831` `rem-exp-log_binary64_1823` `diff-log_binary64_1875`
1×	`flip-+_binary64_1757` `frac-sub_binary64_1792` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `div-exp_binary64_1834` `flip3-+_binary64_1786` `clear-num_binary64_1782` `rem-log-exp_binary64_1824` `log-div_binary64_1870`

Counts

4 → 217

Calls

4 calls:

48.0ms	(log.f64 (exp.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))))
43.0ms	(exp.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))))
42.0ms	(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
5.0ms	(/.f64 x (+.f64 x 1))

series133.0ms (2.4%)

Counts

4 → 12

Calls

4 calls:

49.0ms	(log.f64 (exp.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))))
36.0ms	(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
35.0ms	(exp.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))))
13.0ms	(/.f64 x (+.f64 x 1))

simplify378.0ms (6.8%)

Algorithm

1×	egg-herbie

Counts

229 → 229

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5068	4560

prune275.0ms (4.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	227	2	229
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	229	6	235

Error

0.1b

Counts

235 → 6

Compiler

Compiled 4781 to 3463 computations (27.6% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (exp.f64 (/.f64 x (+.f64 x 1))) (exp.f64 (/.f64 (+.f64 x 1) (-.f64 x 1))))
0.0b	(/.f64 x (+.f64 x 1))
0.0b	(exp.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)))
1.9b	(log.f64 (/.f64 (exp.f64 (/.f64 x (+.f64 x 1))) (exp.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)))))

rewrite90.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

166×	`*-un-lft-identity_binary64_1783`
90×	`times-frac_binary64_1789`
70×	`exp-prod_binary64_1835`
56×	`add-sqr-sqrt_binary64_1805`
40×	`add-cube-cbrt_binary64_1818`
27×	`distribute-lft-out_binary64_1734`
18×	`pow-div_binary64_1858`
13×	`log-prod_binary64_1869`
12×	`distribute-lft-out--_binary64_1735`
10×	`log-pow_binary64_1872`
8×	`add-cbrt-cube_binary64_1819` `difference-of-squares_binary64_1752`
7×	`add-exp-log_binary64_1821` `associate-/r*_binary64_1727`
6×	`associate-/l*_binary64_1728`
5×	`add-log-exp_binary64_1822` `pow1_binary64_1844`
4×	`associate-/r/_binary64_1729` `difference-of-sqr-1_binary64_1753` `div-inv_binary64_1780`
3×	`div-exp_binary64_1834`
2×	`cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `rem-log-exp_binary64_1824`
1×	`flip3--_binary64_1787` `rem-exp-log_binary64_1823` `flip-+_binary64_1757` `flip3-+_binary64_1786` `flip--_binary64_1758` `log-div_binary64_1870`

Counts

4 → 144

Calls

4 calls:

31.0ms	(log.f64 (/.f64 (exp.f64 (/.f64 x (+.f64 x 1))) (exp.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)))))
28.0ms	(/.f64 (exp.f64 (/.f64 x (+.f64 x 1))) (exp.f64 (/.f64 (+.f64 x 1) (-.f64 x 1))))
10.0ms	(exp.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)))
5.0ms	(/.f64 x (+.f64 x 1))

series118.0ms (2.1%)

Counts

4 → 12

Calls

4 calls:

57.0ms	(log.f64 (/.f64 (exp.f64 (/.f64 x (+.f64 x 1))) (exp.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)))))
29.0ms	(/.f64 (exp.f64 (/.f64 x (+.f64 x 1))) (exp.f64 (/.f64 (+.f64 x 1) (-.f64 x 1))))
19.0ms	(exp.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)))
12.0ms	(/.f64 x (+.f64 x 1))

simplify84.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4949	3091
1	4949	3091

prune206.0ms (3.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	156	6	162

Error

0.1b

Counts

162 → 6

Compiler

Compiled 3753 to 2821 computations (24.8% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
0.0b	(*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x (+.f64 x 1)))
0.0b	(*.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
1.9b	(-.f64 (.f64 (/.f64 x (+.f64 x 1)) (/.f64 x (+.f64 x 1))) (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))))

rewrite165.0ms (3%)

Algorithm

1×	rewrite-expression-head

Rules

434×	`*-un-lft-identity_binary64_1783`
272×	`times-frac_binary64_1789`
228×	`add-sqr-sqrt_binary64_1805`
100×	`add-cube-cbrt_binary64_1818`
96×	`swap-sqr_binary64_1750`
93×	`distribute-lft-out_binary64_1734`
53×	`difference-of-squares_binary64_1752`
52×	`associate-l_binary64_1724` `associate-r_binary64_1723`
36×	`distribute-lft-out--_binary64_1735`
32×	`difference-of-sqr-1_binary64_1753`
28×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821`
18×	`pow1_binary64_1844`
16×	`associate-/r/_binary64_1729`
9×	`frac-sub_binary64_1792`
8×	`associate-r/_binary64_1725` `cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `div-inv_binary64_1780` `associate-l/_binary64_1726` `cbrt-undiv_binary64_1817` `div-exp_binary64_1834` `frac-times_binary64_1793` `unswap-sqr_binary64_1751` `add-log-exp_binary64_1822`
5×	`flip3--_binary64_1787` `flip-+_binary64_1757` `flip3-+_binary64_1786` `flip--_binary64_1758`
2×	`pow-plus_binary64_1846` `pow-prod-up_binary64_1853` `pow-sqr_binary64_1756` `*-commutative_binary64_1714` `pow-prod-down_binary64_1854` `pow2_binary64_1864`
1×	`+-commutative_binary64_1713` `frac-add_binary64_1791` `cancel-sign-sub-inv_binary64_1749` `diff-log_binary64_1875` `sum-log_binary64_1874` `sub-neg_binary64_1776`

Counts

4 → 299

Calls

4 calls:

42.0ms	(*.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
37.0ms	(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
19.0ms	(*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x (+.f64 x 1)))
14.0ms	(-.f64 (.f64 (/.f64 x (+.f64 x 1)) (/.f64 x (+.f64 x 1))) (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))))

series119.0ms (2.1%)

Counts

4 → 12

Calls

4 calls:

52.0ms	(-.f64 (.f64 (/.f64 x (+.f64 x 1)) (/.f64 x (+.f64 x 1))) (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))))
28.0ms	(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
22.0ms	(*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x (+.f64 x 1)))
16.0ms	(*.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))

simplify131.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

311 → 311

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5017	7255

prune1.1s (19.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	307	4	311
Fresh	3	1	4
Picked	1	0	1
Done	0	1	1
Total	311	6	317

Error

0.1b

Counts

317 → 6

Compiler

Compiled 14425 to 10322 computations (28.4% saved)

regimes220.0ms (4%)

Accuracy

Total 0.2b remaining (86.4%)

Threshold costs 0.2b (86.4%)

Compiler

Compiled 2473 to 1877 computations (24.1% saved)

bsearch2.0ms (0%)

Compiler: Compiled 13 to 10 computations (23.1% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	84	69
1	84	69

end0.0ms (0%)

sample1.7s (30.1%)

Algorithm

1×

intervals

Results

280.0ms	2059×	body	1024	valid
160.0ms	4223×	body	128	valid
107.0ms	1004×	body	512	valid
40.0ms	520×	body	256	valid
33.0ms	194×	body	2048	valid

Compiler

Compiled 1195 to 907 computations (24.1% saved)

Details

analyze175.0ms (3.1%)

sample24.0ms (0.4%)

simplify78.0ms (1.4%)

prune3.0ms (0%)

localize6.0ms (0.1%)

rewrite70.0ms (1.3%)

series62.0ms (1.1%)

simplify83.0ms (1.5%)

prune201.0ms (3.6%)

localize9.0ms (0.2%)

rewrite167.0ms (3%)

series133.0ms (2.4%)

simplify378.0ms (6.8%)

prune275.0ms (4.9%)

localize11.0ms (0.2%)

rewrite90.0ms (1.6%)

series118.0ms (2.1%)

simplify84.0ms (1.5%)

prune206.0ms (3.7%)

localize12.0ms (0.2%)

rewrite165.0ms (3%)

series119.0ms (2.1%)

simplify131.0ms (2.3%)

prune1.1s (19.2%)

regimes220.0ms (4%)

bsearch2.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.7s (30.1%)

Profiling