Details

analyze564.0ms (9.1%)

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)

sample69.0ms (1.1%)

Algorithm

1×

intervals

Results

11.0ms	197×	body	128	valid
7.0ms	32×	body	1024	valid
5.0ms	30×	body	1024	nan
3.0ms	23×	body	512	nan
2.0ms	16×	body	512	valid
2.0ms	25×	body	256	nan
1.0ms	10×	body	256	valid
1.0ms	16×	body	128	nan
0.0ms	1×	body	2048	valid

Compiler

Compiled 25 to 25 computations (0% saved)

simplify458.0ms (7.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (294.0ms)

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: 15.8b

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 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))
2.4b	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
5.0b	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))

rewrite86.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`add-sqr-sqrt_binary64_11556`
67×	`*-un-lft-identity_binary64_11535`
36×	`times-frac_binary64_11541`
33×	`difference-of-squares_binary64_11504`
19×	`add-cube-cbrt_binary64_11567`
18×	`distribute-lft-out--_binary64_11489`
16×	`log-prod_binary64_11618`
8×	`associate--r+_binary64_11473`
7×	`add-log-exp_binary64_11571` `add-exp-log_binary64_11570`
6×	`flip3--_binary64_11539` `add-cbrt-cube_binary64_11568` `pow1_binary64_11593` `flip--_binary64_11510` `associate-/r*_binary64_11481`
5×	`associate-/l*_binary64_11482`
4×	`log-div_binary64_11619`
3×	`associate--r-_binary64_11476`
2×	`log-pow_binary64_11621` `diff-log_binary64_11624` `associate-/r/_binary64_11483` `sub-neg_binary64_11528` `associate-/l/_binary64_11484` `div-sub_binary64_11540`
1×	`div-inv_binary64_11532` `cbrt-undiv_binary64_11566` `rem-log-exp_binary64_11573` `clear-num_binary64_11534` `div-exp_binary64_11583` `frac-2neg_binary64_11546`

Counts

4 → 119

Calls

4 calls:

23.0ms	(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
23.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
19.0ms	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
9.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))

series392.0ms (6.3%)

Counts

4 → 12

Calls

4 calls:

128.0ms	(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
114.0ms	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
94.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
55.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))

simplify78.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5518	2791

prune186.0ms (3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	128	3	131
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	129	3	132

Merged error: 0.0b

Counts

132 → 3

Compiler

Compiled 2735 to 1773 computations (35.2% 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)))))
0.1b	(/.f64 E.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
2.4b	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))

rewrite92.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

138×	`add-sqr-sqrt_binary64_11556`
106×	`*-un-lft-identity_binary64_11535`
94×	`times-frac_binary64_11541`
51×	`difference-of-squares_binary64_11504`
42×	`add-cube-cbrt_binary64_11567`
30×	`log-prod_binary64_11618`
21×	`distribute-lft-out--_binary64_11489`
14×	`associate-/r*_binary64_11481`
13×	`add-exp-log_binary64_11570`
8×	`add-cbrt-cube_binary64_11568` `associate-/l*_binary64_11482`
6×	`associate-/r/_binary64_11483` `add-log-exp_binary64_11571`
5×	`flip3--_binary64_11539` `pow1_binary64_11593` `div-exp_binary64_11583` `flip--_binary64_11510`
3×	`div-inv_binary64_11532` `rem-log-exp_binary64_11573`
2×	`cbrt-undiv_binary64_11566` `clear-num_binary64_11534` `e-exp-1_binary64_11577` `associate-/l/_binary64_11484` `div-sub_binary64_11540` `frac-2neg_binary64_11546`
1×	`log-pow_binary64_11621` `diff-log_binary64_11624` `sub-neg_binary64_11528` `associate--r-_binary64_11476` `log-div_binary64_11619`

Counts

4 → 167

Calls

4 calls:

22.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
21.0ms	(/.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)))))
9.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))

series407.0ms (6.6%)

Counts

4 → 12

Calls

4 calls:

161.0ms	(log.f64 (/.f64 E.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
110.0ms	(/.f64 E.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
84.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
52.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))

simplify96.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5001	4580

prune196.0ms (3.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	179	0	179
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	179	3	182

Merged error: 0.0b

Counts

182 → 3

Compiler

Compiled 3892 to 2300 computations (40.9% saved)

localize13.0ms (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)))
2.4b	(-.f64 1 (*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y))))
3.2b	(log.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y)))))
4.9b	(log.f64 (+.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))

rewrite109.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

284×	`*-un-lft-identity_binary64_11535`
204×	`add-sqr-sqrt_binary64_11556`
176×	`times-frac_binary64_11541`
82×	`distribute-lft-out--_binary64_11489`
80×	`difference-of-squares_binary64_11504`
62×	`add-cube-cbrt_binary64_11567` `swap-sqr_binary64_11502`
36×	`associate-l_binary64_11478` `associate-r_binary64_11477`
18×	`add-exp-log_binary64_11570`
16×	`add-cbrt-cube_binary64_11568`
13×	`pow1_binary64_11593`
9×	`log-prod_binary64_11618`
8×	`associate-/r/_binary64_11483`
6×	`flip3--_binary64_11539` `flip--_binary64_11510` `add-log-exp_binary64_11571`
4×	`unswap-sqr_binary64_11503` `div-inv_binary64_11532` `cbrt-undiv_binary64_11566` `cbrt-unprod_binary64_11565` `div-exp_binary64_11583` `log-div_binary64_11619` `prod-exp_binary64_11581`
2×	`log-pow_binary64_11621` `rem-log-exp_binary64_11573`
1×	`associate-r/_binary64_11479` `associate-l/_binary64_11480` `distribute-lft-out_binary64_11488` `pow2_binary64_11613` `diff-log_binary64_11624` `pow-prod-up_binary64_11602` `pow-sqr_binary64_11508` `sub-neg_binary64_11528` `*-commutative_binary64_11468` `flip-+_binary64_11509` `frac-times_binary64_11545` `pow-plus_binary64_11595` `flip3-+_binary64_11538` `pow-prod-down_binary64_11603`

Counts

4 → 206

Calls

4 calls:

48.0ms	(*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y)))
17.0ms	(log.f64 (+.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
4.0ms	(-.f64 1 (*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y))))
4.0ms	(log.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y)))))

series932.0ms (15.1%)

Counts

4 → 12

Calls

4 calls:

459.0ms	(log.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y)))))
260.0ms	(-.f64 1 (*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y))))
118.0ms	(log.f64 (+.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
95.0ms	(*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y)))

simplify88.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5738	5824

prune474.0ms (7.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	218	0	218
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	218	3	221

Merged error: 0.0b

Counts

221 → 3

Compiler

Compiled 8358 to 5206 computations (37.7% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

3.3b	(+.f64 (/.f64 x (*.f64 y y)) (/.f64 x y))
3.6b	(log.f64 (+.f64 (/.f64 -1 y) (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x y))))
7.8b	(/.f64 x (*.f64 y y))

rewrite52.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64_11535`
11×	`times-frac_binary64_11541`
9×	`add-exp-log_binary64_11570`
8×	`add-cube-cbrt_binary64_11567` `add-cbrt-cube_binary64_11568` `add-sqr-sqrt_binary64_11556`
5×	`distribute-lft-out_binary64_11488` `log-prod_binary64_11618` `log-div_binary64_11619` `add-log-exp_binary64_11571` `frac-add_binary64_11543`
4×	`pow1_binary64_11593` `distribute-rgt-out_binary64_11490`
3×	`div-inv_binary64_11532` `flip-+_binary64_11509` `associate-/l*_binary64_11482` `flip3-+_binary64_11538`
2×	`cbrt-undiv_binary64_11566` `div-exp_binary64_11583`
1×	`log-pow_binary64_11621` `rem-log-exp_binary64_11573` `+-commutative_binary64_11467` `clear-num_binary64_11534` `cbrt-unprod_binary64_11565` `sum-log_binary64_11623` `associate-/r*_binary64_11481` `distribute-lft1-in_binary64_11492` `prod-exp_binary64_11581` `frac-2neg_binary64_11546`

Counts

3 → 59

Calls

3 calls:

28.0ms	(log.f64 (+.f64 (/.f64 -1 y) (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x y))))
13.0ms	(+.f64 (/.f64 x (*.f64 y y)) (/.f64 x y))
5.0ms	(/.f64 x (*.f64 y y))

series151.0ms (2.4%)

Counts

3 → 9

Calls

3 calls:

71.0ms	(log.f64 (+.f64 (/.f64 -1 y) (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x y))))
49.0ms	(+.f64 (/.f64 x (*.f64 y y)) (/.f64 x y))
31.0ms	(/.f64 x (*.f64 y y))

simplify74.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5262	1297

prune65.0ms (1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	68	3	71

Merged error: 0.0b

Counts

71 → 3

Compiler

Compiled 1503 to 665 computations (55.8% saved)

regimes84.0ms (1.4%)

Compiler: Compiled 329 to 261 computations (20.7% saved)

bsearch129.0ms (2.1%)

Steps

Iters	Range		Point
9	0.6027368186702282	116090195.00513834	110678676.77284944
9	-1.731186056509597e+20	-20017523896668.473	-20413266182911.223

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 (22.1%)

Algorithm

1×

intervals

Results

338.0ms	5927×	body	128	valid
206.0ms	944×	body	1024	valid
163.0ms	988×	body	1024	nan
101.0ms	667×	body	512	valid
75.0ms	608×	body	512	nan
40.0ms	406×	body	256	valid
29.0ms	356×	body	256	nan
21.0ms	506×	body	128	nan
18.0ms	56×	body	2048	valid
0.0ms	1×	body	2048	nan

Compiler

Compiled 162 to 122 computations (24.7% saved)

Details

analyze564.0ms (9.1%)

sample69.0ms (1.1%)

simplify458.0ms (7.4%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite86.0ms (1.4%)

series392.0ms (6.3%)

simplify78.0ms (1.3%)

prune186.0ms (3%)

localize9.0ms (0.1%)

rewrite92.0ms (1.5%)

series407.0ms (6.6%)

simplify96.0ms (1.6%)

prune196.0ms (3.2%)

localize13.0ms (0.2%)

rewrite109.0ms (1.8%)

series932.0ms (15.1%)

simplify88.0ms (1.4%)

prune474.0ms (7.7%)

localize11.0ms (0.2%)

rewrite52.0ms (0.8%)

series151.0ms (2.4%)

simplify74.0ms (1.2%)

prune65.0ms (1%)

regimes84.0ms (1.4%)

bsearch129.0ms (2.1%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.4s (22.1%)

Profiling