Details

analyze543.0ms (8.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
6.2%	93.7%	0.1%	5
6.2%	90.5%	3.2%	6
21.9%	67.1%	11%	7
23.4%	64.8%	11.8%	8
32%	52.7%	15.3%	9
33.2%	51.3%	15.5%	10
37.7%	45.2%	17.2%	11
38.3%	44.4%	17.2%	12
40.6%	41.3%	18%	13
41%	41%	18%	14

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample41.0ms (0.6%)

Algorithm

1×

intervals

Results

9.0ms	175×	body	128	valid
8.0ms	43×	body	1024	valid
5.0ms	32×	body	1024	nan
3.0ms	22×	body	512	valid
3.0ms	23×	body	512	nan
1.0ms	13×	body	256	valid
1.0ms	14×	body	256	nan
1.0ms	3×	body	2048	valid
1.0ms	19×	body	128	nan

Compiler

Compiled 25 to 25 computations (0% saved)

simplify506.0ms (8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (336.0ms)

Iter	Nodes	Cost
0	5118	18

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

Merged error: 21.8b

Counts

2 → 1

Compiler

Compiled 24 to 22 computations (8.3% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))
0.0b	(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
3.2b	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
3.4b	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))

rewrite95.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

118×	`add-sqr-sqrt_binary64_11797`
107×	`*-un-lft-identity_binary64_11775`
66×	`times-frac_binary64_11781`
49×	`difference-of-squares_binary64_11744`
40×	`cancel-sign-sub-inv_binary64_11741`
32×	`add-cube-cbrt_binary64_11810`
29×	`distribute-lft-out--_binary64_11727`
16×	`log-prod_binary64_11861`
8×	`associate--r+_binary64_11711`
7×	`flip3--_binary64_11779` `flip--_binary64_11750` `pow1_binary64_11836` `add-exp-log_binary64_11813` `add-log-exp_binary64_11814`
6×	`add-cbrt-cube_binary64_11811` `associate-/r*_binary64_11719`
5×	`associate-/l*_binary64_11720`
4×	`associate-/r/_binary64_11721` `log-div_binary64_11862`
3×	`log-pow_binary64_11864` `associate--r-_binary64_11714`
2×	`associate-/l/_binary64_11722` `div-sub_binary64_11780` `diff-log_binary64_11867` `div-inv_binary64_11772` `sub-neg_binary64_11768`
1×	`rem-log-exp_binary64_11816` `clear-num_binary64_11774` `div-exp_binary64_11826` `cbrt-undiv_binary64_11809` `frac-2neg_binary64_11786`

Counts

4 → 159

Calls

4 calls:

25.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
23.0ms	(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
19.0ms	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
10.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))

series397.0ms (6.3%)

Counts

4 → 12

Calls

4 calls:

130.0ms	(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
125.0ms	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
92.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
50.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))

simplify82.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5405	3439

prune825.0ms (13%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	165	6	171
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	166	6	172

Merged error: 0.1b

Counts

172 → 6

Compiler

Compiled 14459 to 10844 computations (25% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (-.f64 1 y))
0.3b	(cbrt.f64 (-.f64 1 y))
3.4b	(log.f64 (-.f64 1 (/.f64 (/.f64 (-.f64 x y) (*.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y)))) (cbrt.f64 (-.f64 1 y)))))
14.8b	(-.f64 1 (/.f64 (/.f64 (-.f64 x y) (*.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y)))) (cbrt.f64 (-.f64 1 y))))

rewrite204.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Rules

222×	`times-frac_binary64_11781`
181×	`add-sqr-sqrt_binary64_11797`
159×	`cancel-sign-sub-inv_binary64_11741`
149×	`*-un-lft-identity_binary64_11775`
122×	`cbrt-prod_binary64_11806`
114×	`cbrt-div_binary64_11807`
74×	`associate-/r/_binary64_11721`
67×	`difference-of-squares_binary64_11744`
60×	`add-cube-cbrt_binary64_11810`
59×	`flip3--_binary64_11779` `flip--_binary64_11750`
36×	`frac-times_binary64_11785`
30×	`distribute-lft-out--_binary64_11727`
18×	`associate-l/_binary64_11718` `associate-r/_binary64_11717`
14×	`log-prod_binary64_11861`
10×	`div-inv_binary64_11772`
6×	`add-log-exp_binary64_11814`
5×	`pow1_binary64_11836` `add-exp-log_binary64_11813`
4×	`add-cbrt-cube_binary64_11811`
2×	`div-sub_binary64_11780` `pow1/3_binary64_11857` `log-div_binary64_11862`
1×	`rem-log-exp_binary64_11816` `diff-log_binary64_11867` `log-pow_binary64_11864` `associate--r-_binary64_11714` `sub-neg_binary64_11768`

Counts

4 → 239

Calls

4 calls:

74.0ms	(-.f64 1 (/.f64 (/.f64 (-.f64 x y) (*.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y)))) (cbrt.f64 (-.f64 1 y))))
66.0ms	(log.f64 (-.f64 1 (/.f64 (/.f64 (-.f64 x y) (*.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y)))) (cbrt.f64 (-.f64 1 y)))))
4.0ms	(cbrt.f64 (-.f64 1 y))
4.0ms	(cbrt.f64 (-.f64 1 y))

series292.0ms (4.6%)

Counts

4 → 12

Calls

4 calls:

121.0ms	(log.f64 (-.f64 1 (/.f64 (/.f64 (-.f64 x y) (*.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y)))) (cbrt.f64 (-.f64 1 y)))))
91.0ms	(-.f64 1 (/.f64 (/.f64 (-.f64 x y) (*.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y)))) (cbrt.f64 (-.f64 1 y))))
41.0ms	(cbrt.f64 (-.f64 1 y))
39.0ms	(cbrt.f64 (-.f64 1 y))

simplify114.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

251 → 251

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5112	11263

prune525.0ms (8.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	251	0	251
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	251	6	257

Merged error: 0.1b

Counts

257 → 6

Compiler

Compiled 9091 to 6405 computations (29.5% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))
0.0b	(log.f64 (/.f64 E.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
0.2b	(/.f64 E.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
3.2b	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))

rewrite102.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

177×	`add-sqr-sqrt_binary64_11797`
145×	`*-un-lft-identity_binary64_11775`
124×	`times-frac_binary64_11781`
67×	`difference-of-squares_binary64_11744`
54×	`add-cube-cbrt_binary64_11810`
36×	`cancel-sign-sub-inv_binary64_11741`
32×	`distribute-lft-out--_binary64_11727`
30×	`log-prod_binary64_11861`
14×	`associate-/r*_binary64_11719`
13×	`add-exp-log_binary64_11813`
8×	`associate-/r/_binary64_11721` `add-cbrt-cube_binary64_11811` `associate-/l*_binary64_11720`
6×	`flip3--_binary64_11779` `flip--_binary64_11750` `add-log-exp_binary64_11814`
5×	`pow1_binary64_11836` `div-exp_binary64_11826`
4×	`div-inv_binary64_11772`
3×	`rem-log-exp_binary64_11816`
2×	`associate-/l/_binary64_11722` `clear-num_binary64_11774` `div-sub_binary64_11780` `cbrt-undiv_binary64_11809` `frac-2neg_binary64_11786` `e-exp-1_binary64_11820`
1×	`diff-log_binary64_11867` `log-pow_binary64_11864` `log-div_binary64_11862` `associate--r-_binary64_11714` `sub-neg_binary64_11768`

Counts

4 → 203

Calls

4 calls:

25.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
22.0ms	(/.f64 E.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
21.0ms	(log.f64 (/.f64 E.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
10.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))

series409.0ms (6.4%)

Counts

4 → 12

Calls

4 calls:

160.0ms	(log.f64 (/.f64 E.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
109.0ms	(/.f64 E.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
86.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
53.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))

simplify104.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5036	5321

prune265.0ms (4.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	214	1	215
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	215	6	221

Merged error: 0b

Counts

221 → 6

Compiler

Compiled 5077 to 3077 computations (39.4% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(log.f64 (*.f64 E.f64 (+.f64 1 (-.f64 x y))))
0.2b	(*.f64 E.f64 (+.f64 1 (-.f64 x y)))

rewrite20.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64_11775` `add-exp-log_binary64_11813`
7×	`pow1_binary64_11836`
6×	`add-sqr-sqrt_binary64_11797`
5×	`associate-r_binary64_11715`
4×	`prod-exp_binary64_11824` `add-cube-cbrt_binary64_11810` `add-cbrt-cube_binary64_11811` `associate-*r/_binary64_11717`
3×	`rem-log-exp_binary64_11816` `associate-l_binary64_11716`
2×	`flip3-+_binary64_11778` `flip-+_binary64_11749` `pow-prod-down_binary64_11846` `distribute-lft-out_binary64_11726` `add-log-exp_binary64_11814` `log-pow_binary64_11864` `log-div_binary64_11862` `e-exp-1_binary64_11820`
1×	`distribute-rgt-in_binary64_11725` `*-commutative_binary64_11706` `cbrt-unprod_binary64_11808` `log-prod_binary64_11861` `unswap-sqr_binary64_11743` `distribute-lft-out--_binary64_11727` `distribute-lft-in_binary64_11724`

Counts

2 → 40

Calls

2 calls:

9.0ms	(*.f64 E.f64 (+.f64 1 (-.f64 x y)))
8.0ms	(log.f64 (*.f64 E.f64 (+.f64 1 (-.f64 x y))))

series85.0ms (1.3%)

Counts

2 → 6

Calls

2 calls:

58.0ms	(log.f64 (*.f64 E.f64 (+.f64 1 (-.f64 x y))))
27.0ms	(*.f64 E.f64 (+.f64 1 (-.f64 x y)))

simplify63.0ms (1%)

Algorithm

1×	egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5026	612

prune55.0ms (0.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	45	1	46
Fresh	2	1	3
Picked	1	0	1
Done	0	2	2
Total	48	4	52

Merged error: 0b

Counts

52 → 4

Compiler

Compiled 900 to 605 computations (32.8% saved)

regimes76.0ms (1.2%)

Compiler: Compiled 272 to 240 computations (11.8% saved)

bsearch149.0ms (2.3%)

Steps

Iters	Range		Point
8	2.1243779629737268e+66	2.5670637400285157e+70	2.1691322626487524e+66
10	-8.014399055720646e+20	-1335376524.263934	-1355883538.5742614

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	104	57
1	104	57

end0.0ms (0%)

sample1.4s (21.4%)

Algorithm

1×

intervals

Results

317.0ms	5858×	body	128	valid
211.0ms	1049×	body	1024	valid
158.0ms	1020×	body	1024	nan
88.0ms	630×	body	512	valid
81.0ms	718×	body	512	nan
36.0ms	379×	body	256	valid
29.0ms	386×	body	256	nan
28.0ms	84×	body	2048	valid
17.0ms	462×	body	128	nan
0.0ms	2×	body	2048	nan

Compiler

Compiled 162 to 128 computations (21% saved)

Details

analyze543.0ms (8.5%)

sample41.0ms (0.6%)

simplify506.0ms (8%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite95.0ms (1.5%)

series397.0ms (6.3%)

simplify82.0ms (1.3%)

prune825.0ms (13%)

localize12.0ms (0.2%)

rewrite204.0ms (3.2%)

series292.0ms (4.6%)

simplify114.0ms (1.8%)

prune525.0ms (8.3%)

localize9.0ms (0.1%)

rewrite102.0ms (1.6%)

series409.0ms (6.4%)

simplify104.0ms (1.6%)

prune265.0ms (4.2%)

localize6.0ms (0.1%)

rewrite20.0ms (0.3%)

series85.0ms (1.3%)

simplify63.0ms (1%)

prune55.0ms (0.9%)

regimes76.0ms (1.2%)

bsearch149.0ms (2.3%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.4s (21.4%)

Profiling