Details

analyze8.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample137.0ms (1.3%)

Algorithm

1×

intervals

Results

80.0ms	123×	body	1024	valid
25.0ms	71×	body	512	valid
11.0ms	12×	body	2048	valid
6.0ms	31×	body	256	valid
2.0ms	19×	body	128	valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify456.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (293.0ms)

Iter	Nodes	Cost
0	5283	12

prune4.0ms (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

58.7b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

6.1b	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
0.0b	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
0.0b	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
6.1b	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

rewrite54.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`*-un-lft-identity_binary64_2069`
52×	`add-sqr-sqrt_binary64_2091`
48×	`times-frac_binary64_2075`
30×	`log-prod_binary64_2155`
25×	`add-cube-cbrt_binary64_2104`
18×	`difference-of-squares_binary64_2038`
13×	`distribute-lft-out_binary64_2020`
9×	`distribute-lft-out--_binary64_2021`
7×	`add-exp-log_binary64_2107`
6×	`associate-/l*_binary64_2014`
4×	`add-cbrt-cube_binary64_2105` `associate-/r*_binary64_2013` `associate-/r/_binary64_2015`
3×	`pow1_binary64_2130`
2×	`add-log-exp_binary64_2108` `rem-log-exp_binary64_2110` `div-inv_binary64_2066` `flip-+_binary64_2043` `associate-/l/_binary64_2016` `flip3-+_binary64_2072` `div-exp_binary64_2120`
1×	`frac-2neg_binary64_2080` `flip--_binary64_2044` `clear-num_binary64_2068` `log-div_binary64_2156` `cbrt-undiv_binary64_2103` `flip3--_binary64_2073` `log-pow_binary64_2158` `div-sub_binary64_2074`

Counts

2 → 92

Calls

4 calls:

18.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
16.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
0.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
0.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

series104.0ms (1%)

Counts

2 → 14

Calls

2 calls:

67.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
37.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))

Compiler

Compiled 161 to 155 computations (3.7% saved)

simplify134.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	5400	1921

prune281.0ms (2.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	104	2	106
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	105	2	107

Error

Counts

107 → 2

Compiler

Compiled 1567 to 1208 computations (22.9% saved)

localize28.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.1b	(*.f64 (pow.f64 eps 3) 2/3)
0.1b	(*.f64 2/5 (pow.f64 eps 5))
0.1b	(*.f64 2/7 (pow.f64 eps 7))
0.0b	(-.f64 (.f64 eps -2) (.f64 (pow.f64 eps 3) 2/3))
0.0b	(-.f64 (.f64 eps -2) (.f64 (pow.f64 eps 3) 2/3))
0.1b	(*.f64 2/7 (pow.f64 eps 7))
0.1b	(*.f64 2/5 (pow.f64 eps 5))
0.1b	(*.f64 (pow.f64 eps 3) 2/3)

rewrite57.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-sqr-sqrt_binary64_2091`
19×	`add-exp-log_binary64_2107`
18×	`associate-l_binary64_2010`
17×	`associate-r_binary64_2009`
14×	`*-un-lft-identity_binary64_2069` `add-cube-cbrt_binary64_2104`
12×	`unpow-prod-down_binary64_2148`
10×	`add-cbrt-cube_binary64_2105` `unswap-sqr_binary64_2037`
9×	`prod-exp_binary64_2118`
6×	`add-log-exp_binary64_2108` `sqr-pow_binary64_2041`
4×	`cube-prod_binary64_2097` `pow1_binary64_2130`
3×	`cbrt-unprod_binary64_2102` `*-commutative_binary64_2000` `pow-to-exp_binary64_2138` `pow-exp_binary64_2137`
1×	`flip--_binary64_2044` `cancel-sign-sub-inv_binary64_2035` `cube-mult_binary64_2099` `diff-log_binary64_2161` `flip3--_binary64_2073` `sub-neg_binary64_2062` `unpow3_binary64_2135`

Counts

4 → 93

Calls

8 calls:

12.0ms	(*.f64 (pow.f64 eps 3) 2/3)
11.0ms	(*.f64 2/7 (pow.f64 eps 7))
10.0ms	(*.f64 2/5 (pow.f64 eps 5))
8.0ms	(-.f64 (.f64 eps -2) (.f64 (pow.f64 eps 3) 2/3))
0.0ms	(-.f64 (.f64 eps -2) (.f64 (pow.f64 eps 3) 2/3))

series393.0ms (3.8%)

Counts

4 → 15

Calls

4 calls:

146.0ms	(-.f64 (.f64 eps -2) (.f64 (pow.f64 eps 3) 2/3))
105.0ms	(*.f64 2/7 (pow.f64 eps 7))
75.0ms	(*.f64 2/5 (pow.f64 eps 5))
67.0ms	(*.f64 (pow.f64 eps 3) 2/3)

Compiler

Compiled 559 to 481 computations (14% saved)

simplify136.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (106.0ms)

Iter	Nodes	Cost
0	5387	1157

prune282.0ms (2.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	108	2	110

Error

Counts

110 → 2

Compiler

Compiled 2744 to 2213 computations (19.4% saved)

localize23.0ms (0.2%)

Local error

Found 8 expressions with local error:

6.2b	(log.f64 (sqrt.f64 (+.f64 1 eps)))
6.1b	(log.f64 (/.f64 (-.f64 1 eps) (sqrt.f64 (+.f64 1 eps))))
0.0b	(/.f64 (-.f64 1 eps) (sqrt.f64 (+.f64 1 eps)))
0.0b	(+.f64 (neg.f64 (log.f64 (sqrt.f64 (+.f64 1 eps)))) (log.f64 (/.f64 (-.f64 1 eps) (sqrt.f64 (+.f64 1 eps)))))
0.0b	(+.f64 (neg.f64 (log.f64 (sqrt.f64 (+.f64 1 eps)))) (log.f64 (/.f64 (-.f64 1 eps) (sqrt.f64 (+.f64 1 eps)))))
0.0b	(/.f64 (-.f64 1 eps) (sqrt.f64 (+.f64 1 eps)))
6.1b	(log.f64 (/.f64 (-.f64 1 eps) (sqrt.f64 (+.f64 1 eps))))
6.2b	(log.f64 (sqrt.f64 (+.f64 1 eps)))

rewrite138.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

185×	`*-un-lft-identity_binary64_2069`
136×	`add-sqr-sqrt_binary64_2091`
126×	`times-frac_binary64_2075`
110×	`log-prod_binary64_2155`
84×	`sqrt-prod_binary64_2085`
70×	`add-cube-cbrt_binary64_2104`
48×	`associate-+r+_binary64_2001`
44×	`difference-of-squares_binary64_2038`
27×	`distribute-lft-out_binary64_2020`
22×	`distribute-lft-out--_binary64_2021`
12×	`pow1_binary64_2130`
10×	`add-exp-log_binary64_2107`
9×	`log-pow_binary64_2158`
8×	`sqrt-div_binary64_2086`
7×	`associate-+l+_binary64_2002` `associate-/r*_binary64_2013` `distribute-neg-in_binary64_2030`
6×	`associate-/l*_binary64_2014` `add-cbrt-cube_binary64_2105` `associate-/r/_binary64_2015`
5×	`add-log-exp_binary64_2108` `flip-+_binary64_2043` `flip3-+_binary64_2072`
4×	`log-div_binary64_2156` `distribute-rgt-neg-in_binary64_2027`
3×	`rem-log-exp_binary64_2110` `div-inv_binary64_2066`
2×	`associate-/l/_binary64_2016` `div-exp_binary64_2120` `sum-log_binary64_2160`
1×	`pow1/2_binary64_2149` `frac-2neg_binary64_2080` `flip--_binary64_2044` `neg-log_binary64_2162` `clear-num_binary64_2068` `sqrt-pow1_binary64_2087` `associate-+l-_binary64_2004` `+-commutative_binary64_1999` `cbrt-undiv_binary64_2103` `flip3--_binary64_2073` `associate-+r-_binary64_2003` `div-sub_binary64_2074` `neg-sub0_binary64_2064`

Counts

4 → 226

Calls

8 calls:

36.0ms	(+.f64 (neg.f64 (log.f64 (sqrt.f64 (+.f64 1 eps)))) (log.f64 (/.f64 (-.f64 1 eps) (sqrt.f64 (+.f64 1 eps)))))
20.0ms	(/.f64 (-.f64 1 eps) (sqrt.f64 (+.f64 1 eps)))
16.0ms	(log.f64 (/.f64 (-.f64 1 eps) (sqrt.f64 (+.f64 1 eps))))
7.0ms	(log.f64 (sqrt.f64 (+.f64 1 eps)))
0.0ms	(+.f64 (neg.f64 (log.f64 (sqrt.f64 (+.f64 1 eps)))) (log.f64 (/.f64 (-.f64 1 eps) (sqrt.f64 (+.f64 1 eps)))))

series325.0ms (3.1%)

Counts

4 → 24

Calls

4 calls:

164.0ms	(+.f64 (neg.f64 (log.f64 (sqrt.f64 (+.f64 1 eps)))) (log.f64 (/.f64 (-.f64 1 eps) (sqrt.f64 (+.f64 1 eps)))))
63.0ms	(log.f64 (/.f64 (-.f64 1 eps) (sqrt.f64 (+.f64 1 eps))))
52.0ms	(/.f64 (-.f64 1 eps) (sqrt.f64 (+.f64 1 eps)))
46.0ms	(log.f64 (sqrt.f64 (+.f64 1 eps)))

Compiler

Compiled 537 to 473 computations (11.9% saved)

simplify190.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

250 → 250

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	5080	5221

prune648.0ms (6.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	250	0	250
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	250	2	252

Error

Counts

252 → 2

Compiler

Compiled 5637 to 4551 computations (19.3% saved)

simplify21.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	238	550
1	238	550

regimes84.0ms (0.8%)

Accuracy

Total 0.2b remaining (96.2%)

Threshold costs 0.2b (96.2%)

Compiler

Compiled 356 to 303 computations (14.9% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	116	34
1	116	34

end0.0ms (0%)

sample6.9s (66.1%)

Algorithm

1×

intervals

Results

2.4s	3974×	body	1024	valid
680.0ms	2007×	body	512	valid
390.0ms	435×	body	2048	valid
184.0ms	974×	body	256	valid
53.0ms	610×	body	128	valid

Compiler

Compiled 1086 to 925 computations (14.8% saved)

Pareto

-0.3730037696000463

Details

analyze8.0ms (0.1%)

sample137.0ms (1.3%)

simplify456.0ms (4.4%)

prune4.0ms (0%)

localize11.0ms (0.1%)

rewrite54.0ms (0.5%)

series104.0ms (1%)

simplify134.0ms (1.3%)

prune281.0ms (2.7%)

localize28.0ms (0.3%)

rewrite57.0ms (0.5%)

series393.0ms (3.8%)

simplify136.0ms (1.3%)

prune282.0ms (2.7%)

localize23.0ms (0.2%)

rewrite138.0ms (1.3%)

series325.0ms (3.1%)

simplify190.0ms (1.8%)

prune648.0ms (6.2%)

simplify21.0ms (0.2%)

regimes84.0ms (0.8%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample6.9s (66.1%)

Profiling