Details

analyze975.0ms (7.9%)

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)

sample65.0ms (0.5%)

Algorithm

1×

intervals

Results

16.0ms	195×	body	128	valid
10.0ms	41×	body	1024	nan
9.0ms	26×	body	1024	valid
5.0ms	23×	body	512	valid
4.0ms	21×	body	512	nan
3.0ms	18×	body	256	nan
2.0ms	11×	body	256	valid
1.0ms	21×	body	128	nan
1.0ms	1×	body	2048	valid

Compiler

Compiled 25 to 25 computations (0% saved)

simplify824.0ms (6.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (658.0ms)

Iter	Nodes	Cost
0	5144	18

prune5.0ms (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: 15.8b

Counts

2 → 1

Compiler

Compiled 24 to 22 computations (8.3% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))
1.9b	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
2.9b	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))

rewrite173.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

118×	`add-sqr-sqrt_binary64_12376`
107×	`*-un-lft-identity_binary64_12354`
66×	`times-frac_binary64_12360`
49×	`difference-of-squares_binary64_12323`
40×	`cancel-sign-sub-inv_binary64_12320`
32×	`add-cube-cbrt_binary64_12389`
29×	`distribute-lft-out--_binary64_12306`
16×	`log-prod_binary64_12440`
8×	`associate--r+_binary64_12290`
7×	`flip--_binary64_12329` `add-log-exp_binary64_12393` `pow1_binary64_12415` `flip3--_binary64_12358` `add-exp-log_binary64_12392`
6×	`associate-/r*_binary64_12298` `add-cbrt-cube_binary64_12390`
5×	`associate-/l*_binary64_12299`
4×	`associate-/r/_binary64_12300` `log-div_binary64_12441`
3×	`associate--r-_binary64_12293` `log-pow_binary64_12443`
2×	`diff-log_binary64_12446` `div-inv_binary64_12351` `div-sub_binary64_12359` `associate-/l/_binary64_12301` `sub-neg_binary64_12347`
1×	`clear-num_binary64_12353` `frac-2neg_binary64_12365` `cbrt-undiv_binary64_12388` `rem-log-exp_binary64_12395` `div-exp_binary64_12405`

Counts

4 → 159

Calls

4 calls:

44.0ms	(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
40.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
38.0ms	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
19.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))

series362.0ms (2.9%)

Counts

4 → 12

Calls

4 calls:

119.0ms	(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
117.0ms	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
77.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
49.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))

simplify158.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	5051	3438

prune422.0ms (3.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	166	5	171
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	167	5	172

Merged error: 0.1b

Counts

172 → 5

Compiler

Compiled 3420 to 2237 computations (34.6% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (-.f64 1 y))
0.1b	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 1 y)))
2.9b	(log.f64 (-.f64 1 (*.f64 (-.f64 x y) (/.f64 1 (-.f64 1 y)))))
3.1b	(-.f64 1 (*.f64 (-.f64 x y) (/.f64 1 (-.f64 1 y))))

rewrite78.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

57×	`add-sqr-sqrt_binary64_12376`
51×	`*-un-lft-identity_binary64_12354`
38×	`times-frac_binary64_12360`
27×	`add-cube-cbrt_binary64_12389`
24×	`associate-r_binary64_12294`
18×	`add-exp-log_binary64_12392`
15×	`difference-of-squares_binary64_12323`
11×	`add-cbrt-cube_binary64_12390`
8×	`distribute-lft-out--_binary64_12306` `pow1_binary64_12415`
6×	`flip--_binary64_12329` `associate-/r*_binary64_12298` `add-log-exp_binary64_12393` `flip3--_binary64_12358`
5×	`associate-l_binary64_12295`
4×	`associate-/r/_binary64_12300` `prod-exp_binary64_12403` `div-exp_binary64_12405`
3×	`associate-/l*_binary64_12299` `unswap-sqr_binary64_12322` `log-prod_binary64_12440`
2×	`frac-times_binary64_12364` `cbrt-unprod_binary64_12387` `div-inv_binary64_12351` `rec-exp_binary64_12404` `cbrt-undiv_binary64_12388` `1-exp_binary64_12398` `log-div_binary64_12441` `associate-*l/_binary64_12297`
1×	`pow-prod-down_binary64_12425` `clear-num_binary64_12353` `diff-log_binary64_12446` `un-div-inv_binary64_12352` `frac-2neg_binary64_12365` `inv-pow_binary64_12439` `log-pow_binary64_12443` `pow-flip_binary64_12428` `cancel-sign-sub-inv_binary64_12320` `rem-log-exp_binary64_12395` `associate-r/_binary64_12296` `sub-neg_binary64_12347` `-commutative_binary64_12285`

Counts

4 → 124

Calls

4 calls:

31.0ms	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 1 y)))
12.0ms	(/.f64 1 (-.f64 1 y))
8.0ms	(-.f64 1 (*.f64 (-.f64 x y) (/.f64 1 (-.f64 1 y))))
7.0ms	(log.f64 (-.f64 1 (*.f64 (-.f64 x y) (/.f64 1 (-.f64 1 y)))))

series240.0ms (1.9%)

Counts

4 → 12

Calls

4 calls:

100.0ms	(log.f64 (-.f64 1 (*.f64 (-.f64 x y) (/.f64 1 (-.f64 1 y)))))
78.0ms	(-.f64 1 (*.f64 (-.f64 x y) (/.f64 1 (-.f64 1 y))))
47.0ms	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 1 y)))
15.0ms	(/.f64 1 (-.f64 1 y))

simplify122.0ms (1%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	5130	2056

prune272.0ms (2.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	136	5	141

Merged error: 0.1b

Counts

141 → 5

Compiler

Compiled 2756 to 1953 computations (29.1% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.9b	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
2.9b	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
2.9b	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
2.9b	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))

rewrite176.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`add-sqr-sqrt_binary64_12376`
62×	`*-un-lft-identity_binary64_12354`
38×	`times-frac_binary64_12360`
36×	`cancel-sign-sub-inv_binary64_12320`
32×	`difference-of-squares_binary64_12323`
24×	`log-prod_binary64_12440`
19×	`add-cube-cbrt_binary64_12389`
15×	`distribute-lft-out--_binary64_12306`
7×	`pow1_binary64_12415` `add-exp-log_binary64_12392`
6×	`add-log-exp_binary64_12393` `log-div_binary64_12441`
5×	`flip--_binary64_12329` `flip3--_binary64_12358`
4×	`add-cbrt-cube_binary64_12390`
3×	`log-pow_binary64_12443` `rem-log-exp_binary64_12395`
2×	`associate-/r/_binary64_12300`
1×	`diff-log_binary64_12446` `div-inv_binary64_12351` `associate--r-_binary64_12293` `div-sub_binary64_12359` `sub-neg_binary64_12347`

Counts

4 → 110

Calls

4 calls:

38.0ms	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
37.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
34.0ms	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
33.0ms	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))

series347.0ms (2.8%)

Counts

4 → 12

Calls

4 calls:

100.0ms	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
93.0ms	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
90.0ms	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
64.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))

simplify130.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	5839	2560

prune532.0ms (4.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	122	5	127

Merged error: 0.1b

Counts

127 → 5

Compiler

Compiled 5915 to 4164 computations (29.6% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y)))
1.0b	(log.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y)))))
1.9b	(-.f64 1 (*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y))))
2.8b	(log.f64 (+.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))

rewrite202.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

284×	`*-un-lft-identity_binary64_12354`
204×	`add-sqr-sqrt_binary64_12376`
176×	`times-frac_binary64_12360`
82×	`distribute-lft-out--_binary64_12306`
80×	`difference-of-squares_binary64_12323`
62×	`add-cube-cbrt_binary64_12389` `swap-sqr_binary64_12321`
36×	`associate-l_binary64_12295` `associate-r_binary64_12294`
18×	`add-exp-log_binary64_12392`
16×	`add-cbrt-cube_binary64_12390`
13×	`pow1_binary64_12415`
9×	`log-prod_binary64_12440`
8×	`associate-/r/_binary64_12300`
6×	`flip--_binary64_12329` `add-log-exp_binary64_12393` `flip3--_binary64_12358`
4×	`cbrt-unprod_binary64_12387` `div-inv_binary64_12351` `cbrt-undiv_binary64_12388` `log-div_binary64_12441` `prod-exp_binary64_12403` `unswap-sqr_binary64_12322` `div-exp_binary64_12405`
2×	`log-pow_binary64_12443` `rem-log-exp_binary64_12395`
1×	`pow-prod-down_binary64_12425` `frac-times_binary64_12364` `distribute-lft-out_binary64_12305` `pow-prod-up_binary64_12424` `diff-log_binary64_12446` `associate-l/_binary64_12297` `cancel-sign-sub-inv_binary64_12320` `associate-r/_binary64_12296` `pow-sqr_binary64_12327` `flip-+_binary64_12328` `pow2_binary64_12435` `sub-neg_binary64_12347` `flip3-+_binary64_12357` `*-commutative_binary64_12285` `pow-plus_binary64_12417`

Counts

4 → 207

Calls

4 calls:

90.0ms	(*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y)))
30.0ms	(log.f64 (+.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
8.0ms	(-.f64 1 (*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y))))
7.0ms	(log.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y)))))

series736.0ms (6%)

Counts

4 → 12

Calls

4 calls:

364.0ms	(log.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y)))))
207.0ms	(-.f64 1 (*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y))))
84.0ms	(log.f64 (+.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
80.0ms	(*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y)))

simplify171.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	6009	5806

prune740.0ms (6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	219	0	219
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	219	5	224

Merged error: 0.1b

Counts

224 → 5

Compiler

Compiled 8348 to 5196 computations (37.8% saved)

regimes1.3s (10.2%)

Compiler: Compiled 7020 to 5611 computations (20.1% saved)

bsearch256.0ms (2.1%)

Steps

Iters	Range		Point
11	20.247820353108434	1.0088600681222616e+21	137886941383.1554
9	-1894308703248.783	-172221.70323393866	-156594998.93521395

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	163	77
1	163	77

end0.0ms (0%)

sample4.0s (32.5%)

Algorithm

1×

intervals

Results

549.0ms	5821×	body	128	valid
377.0ms	1052×	body	1024	valid
284.0ms	1007×	body	1024	nan
178.0ms	673×	body	512	valid
142.0ms	663×	body	512	nan
66.0ms	397×	body	256	valid
46.0ms	342×	body	256	nan
34.0ms	512×	body	128	nan
30.0ms	57×	body	2048	valid
1.0ms	3×	body	2048	nan

Compiler

Compiled 1106 to 872 computations (21.2% saved)

Details

analyze975.0ms (7.9%)

sample65.0ms (0.5%)

simplify824.0ms (6.7%)

prune5.0ms (0%)

localize16.0ms (0.1%)

rewrite173.0ms (1.4%)

series362.0ms (2.9%)

simplify158.0ms (1.3%)

prune422.0ms (3.4%)

localize19.0ms (0.2%)

rewrite78.0ms (0.6%)

series240.0ms (1.9%)

simplify122.0ms (1%)

prune272.0ms (2.2%)

localize26.0ms (0.2%)

rewrite176.0ms (1.4%)

series347.0ms (2.8%)

simplify130.0ms (1.1%)

prune532.0ms (4.3%)

localize24.0ms (0.2%)

rewrite202.0ms (1.6%)

series736.0ms (6%)

simplify171.0ms (1.4%)

prune740.0ms (6%)

regimes1.3s (10.2%)

bsearch256.0ms (2.1%)

simplify10.0ms (0.1%)

end0.0ms (0%)

sample4.0s (32.5%)

Profiling