Details

analyze521.0ms (0.7%)

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)

sample36.0ms (0.1%)

Algorithm

1×

intervals

Results

9.0ms	180×	body	128	valid
7.0ms	36×	body	1024	valid
3.0ms	23×	body	1024	nan
2.0ms	19×	body	512	valid
2.0ms	16×	body	512	nan
1.0ms	17×	body	256	valid
1.0ms	4×	body	2048	valid
1.0ms	13×	body	256	nan
0.0ms	8×	body	128	nan

Compiler

Compiled 25 to 25 computations (0% saved)

simplify431.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (341.0ms)

Iter	Nodes	Cost
0	5144	18

prune7.0ms (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

20.4b

Counts

2 → 1

Compiler

Compiled 24 to 22 computations (8.3% saved)

localize9.0ms (0%)

Local error

Found 6 expressions with local error:

3.3b	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
3.3b	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))
0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))
3.3b	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
3.3b	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))

rewrite61.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

104×	`add-sqr-sqrt_binary64_12035`
96×	`*-un-lft-identity_binary64_12013`
64×	`times-frac_binary64_12019`
43×	`difference-of-squares_binary64_11982`
36×	`cancel-sign-sub-inv_binary64_11979`
29×	`add-cube-cbrt_binary64_12048`
26×	`distribute-lft-out--_binary64_11965`
8×	`log-prod_binary64_12099`
6×	`associate-/r*_binary64_11957` `add-exp-log_binary64_12051`
5×	`add-cbrt-cube_binary64_12049` `add-log-exp_binary64_12052` `flip3--_binary64_12017` `flip--_binary64_11988` `associate-/l*_binary64_11958`
4×	`associate-/r/_binary64_11959` `pow1_binary64_12074`
2×	`div-sub_binary64_12018` `div-inv_binary64_12010` `log-div_binary64_12100` `associate-/l/_binary64_11960`
1×	`rem-log-exp_binary64_12054` `clear-num_binary64_12012` `div-exp_binary64_12064` `associate--r-_binary64_11952` `log-pow_binary64_12102` `cbrt-undiv_binary64_12047` `diff-log_binary64_12105` `frac-2neg_binary64_12024` `sub-neg_binary64_12006`

Counts

3 → 130

Calls

6 calls:

20.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
18.0ms	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
10.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))
0.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))
0.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))

series457.0ms (0.6%)

Counts

3 → 49

Calls

3 calls:

205.0ms	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
144.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
107.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))

Compiler

Compiled 1505 to 1270 computations (15.6% saved)

simplify66.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5125	3784

prune269.0ms (0.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	175	4	179
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	176	4	180

Error

Counts

180 → 4

Compiler

Compiled 3603 to 2309 computations (35.9% saved)

localize16.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))
0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))
0.0b	(+.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
0.0b	(+.f64 1 (*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (+.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
0.1b	(pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3)
3.3b	(-.f64 1 (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3))
3.3b	(log.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3)) (+.f64 1 (*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (+.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))))
10.0b	(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3)) (+.f64 1 (*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (+.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))))

rewrite204.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

363×	`add-sqr-sqrt_binary64_12035`
267×	`*-un-lft-identity_binary64_12013`
248×	`times-frac_binary64_12019`
160×	`difference-of-squares_binary64_11982`
104×	`cube-prod_binary64_12041` `unpow-prod-down_binary64_12092`
95×	`add-cube-cbrt_binary64_12048`
78×	`cancel-sign-sub-inv_binary64_11979`
54×	`log-prod_binary64_12099`
52×	`distribute-lft-out--_binary64_11965`
18×	`sqr-pow_binary64_11985`
16×	`associate-/l*_binary64_11958`
12×	`associate-/r/_binary64_11959` `add-exp-log_binary64_12051`
9×	`add-cbrt-cube_binary64_12049`
6×	`add-log-exp_binary64_12052` `flip3--_binary64_12017` `div-inv_binary64_12010` `pow1_binary64_12074` `flip--_binary64_11988`
3×	`associate-/r*_binary64_11957` `div-exp_binary64_12064` `pow-unpow_binary64_12090`
2×	`rem-log-exp_binary64_12054` `rem-cube-cbrt_binary64_12036` `flip3-+_binary64_12016` `cube-mult_binary64_12043` `flip-+_binary64_11987` `cbrt-undiv_binary64_12047` `unpow3_binary64_12079` `pow-exp_binary64_12081` `associate-/l/_binary64_11960`
1×	`div-sub_binary64_12018` `clear-num_binary64_12012` `log-pow_binary64_12102` `cube-div_binary64_12042` `log-div_binary64_12100` `diff-log_binary64_12105` `frac-2neg_binary64_12024` `pow-to-exp_binary64_12082` `pow-pow_binary64_12085` `sub-neg_binary64_12006`

Counts

4 → 343

Calls

8 calls:

44.0ms	(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3)) (+.f64 1 (*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (+.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))))
42.0ms	(log.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3)) (+.f64 1 (*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (+.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))))
39.0ms	(-.f64 1 (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3))
19.0ms	(pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3)
0.0ms	(+.f64 1 (*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (+.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))

series58.7s (83.2%)

Counts

4 → 71

Calls

4 calls:

56.5s	(log.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3)) (+.f64 1 (*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (+.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))))
1.7s	(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3)) (+.f64 1 (*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (+.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))))
366.0ms	(-.f64 1 (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3))
152.0ms	(pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3)

Compiler

Compiled 25077 to 20307 computations (19% saved)

simplify367.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

414 → 414

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5649	50823

prune4.1s (5.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	414	0	414
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	414	4	418

Error

Counts

418 → 4

Compiler

Compiled 40994 to 27882 computations (32% saved)

localize8.0ms (0%)

Local error

Found 6 expressions with local error:

6.0b	(log.f64 (neg.f64 (/.f64 x (-.f64 1 y))))
0.0b	(/.f64 x (-.f64 1 y))
0.0b	(-.f64 1 (log.f64 (neg.f64 (/.f64 x (-.f64 1 y)))))
0.0b	(-.f64 1 (log.f64 (neg.f64 (/.f64 x (-.f64 1 y)))))
0.0b	(/.f64 x (-.f64 1 y))
6.0b	(log.f64 (neg.f64 (/.f64 x (-.f64 1 y))))

rewrite51.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

109×	`*-un-lft-identity_binary64_12013`
108×	`add-sqr-sqrt_binary64_12035`
104×	`log-prod_binary64_12099`
90×	`times-frac_binary64_12019`
57×	`add-cube-cbrt_binary64_12048`
52×	`associate--r+_binary64_11949`
48×	`distribute-rgt-neg-in_binary64_11971` `distribute-lft-neg-in_binary64_11970`
34×	`difference-of-squares_binary64_11982`
18×	`distribute-lft-out--_binary64_11965`
10×	`associate-/r/_binary64_11959`
6×	`associate-/r*_binary64_11957` `flip3--_binary64_12017` `add-exp-log_binary64_12051` `pow1_binary64_12074` `flip--_binary64_11988`
5×	`add-cbrt-cube_binary64_12049` `div-inv_binary64_12010`
4×	`cancel-sign-sub-inv_binary64_11979` `add-log-exp_binary64_12052`
3×	`log-pow_binary64_12102` `associate-/l*_binary64_11958`
2×	`neg-mul-1_binary64_12009` `distribute-neg-frac_binary64_11977` `log-div_binary64_12100`
1×	`rem-log-exp_binary64_12054` `clear-num_binary64_12012` `div-exp_binary64_12064` `associate--r-_binary64_11952` `cbrt-undiv_binary64_12047` `diff-log_binary64_12105` `frac-2neg_binary64_12024` `sub-neg_binary64_12006`

Counts

3 → 175

Calls

6 calls:

14.0ms	(-.f64 1 (log.f64 (neg.f64 (/.f64 x (-.f64 1 y)))))
8.0ms	(log.f64 (neg.f64 (/.f64 x (-.f64 1 y))))
6.0ms	(/.f64 x (-.f64 1 y))
0.0ms	(-.f64 1 (log.f64 (neg.f64 (/.f64 x (-.f64 1 y)))))
0.0ms	(/.f64 x (-.f64 1 y))

series400.0ms (0.6%)

Counts

3 → 31

Calls

3 calls:

177.0ms	(-.f64 1 (log.f64 (neg.f64 (/.f64 x (-.f64 1 y)))))
159.0ms	(log.f64 (neg.f64 (/.f64 x (-.f64 1 y))))
64.0ms	(/.f64 x (-.f64 1 y))

Compiler

Compiled 570 to 538 computations (5.6% saved)

simplify99.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

206 → 206

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4955	3453
1	4955	3453

prune184.0ms (0.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	206	0	206
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	206	4	210

Error

Counts

210 → 4

Compiler

Compiled 3327 to 2295 computations (31% saved)

localize13.0ms (0%)

Local error

Found 8 expressions with local error:

5.5b	(+.f64 (/.f64 x (.f64 y y)) (-.f64 (/.f64 (+.f64 x -1) y) (/.f64 1 (.f64 y y))))
2.4b	(-.f64 (/.f64 (+.f64 x -1) y) (/.f64 1 (*.f64 y y)))
0.1b	(/.f64 1 (*.f64 y y))
0.0b	(/.f64 (+.f64 x -1) y)
0.1b	(/.f64 1 (*.f64 y y))
2.4b	(-.f64 (/.f64 (+.f64 x -1) y) (/.f64 1 (*.f64 y y)))
5.5b	(+.f64 (/.f64 x (.f64 y y)) (-.f64 (/.f64 (+.f64 x -1) y) (/.f64 1 (.f64 y y))))
9.2b	(/.f64 x (*.f64 y y))

rewrite65.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`*-un-lft-identity_binary64_12013`
25×	`add-sqr-sqrt_binary64_12035`
22×	`times-frac_binary64_12019`
20×	`add-exp-log_binary64_12051`
14×	`add-cbrt-cube_binary64_12049` `cancel-sign-sub-inv_binary64_11979`
12×	`add-cube-cbrt_binary64_12048` `pow1_binary64_12074`
11×	`add-log-exp_binary64_12052`
8×	`associate-+r+_binary64_11945` `div-inv_binary64_12010`
6×	`pow-flip_binary64_12087` `div-exp_binary64_12064` `difference-of-squares_binary64_11982` `associate-/l*_binary64_11958`
4×	`distribute-lft-out_binary64_11964` `cbrt-undiv_binary64_12047` `distribute-lft-out--_binary64_11965` `prod-exp_binary64_12062`
3×	`frac-add_binary64_12021`
2×	`distribute-rgt-out--_binary64_11967` `sum-log_binary64_12104` `rec-exp_binary64_12063` `associate-/r*_binary64_11957` `clear-num_binary64_12012` `flip3--_binary64_12017` `frac-sub_binary64_12022` `flip--_binary64_11988` `diff-log_binary64_12105` `frac-2neg_binary64_12024` `cbrt-unprod_binary64_12046` `1-exp_binary64_12057` `sub-neg_binary64_12006`
1×	`+-commutative_binary64_11943` `pow-prod-up_binary64_12083` `flip3-+_binary64_12016` `pow-plus_binary64_12076` `pow-prod-down_binary64_12084` `flip-+_binary64_11987` `inv-pow_binary64_12098` `pow-sqr_binary64_11986` `pow2_binary64_12094` `associate-+r-_binary64_11947`

Counts

4 → 109

Calls

8 calls:

25.0ms	(+.f64 (/.f64 x (.f64 y y)) (-.f64 (/.f64 (+.f64 x -1) y) (/.f64 1 (.f64 y y))))
17.0ms	(-.f64 (/.f64 (+.f64 x -1) y) (/.f64 1 (*.f64 y y)))
7.0ms	(/.f64 x (*.f64 y y))
5.0ms	(/.f64 1 (*.f64 y y))
0.0ms	(/.f64 (+.f64 x -1) y)

series428.0ms (0.6%)

Counts

4 → 33

Calls

4 calls:

207.0ms	(+.f64 (/.f64 x (.f64 y y)) (-.f64 (/.f64 (+.f64 x -1) y) (/.f64 1 (.f64 y y))))
132.0ms	(-.f64 (/.f64 (+.f64 x -1) y) (/.f64 1 (*.f64 y y)))
70.0ms	(/.f64 x (*.f64 y y))
19.0ms	(/.f64 1 (*.f64 y y))

Compiler

Compiled 1046 to 847 computations (19% saved)

simplify75.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5180	2053

prune150.0ms (0.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	142	4	146

Error

Counts

146 → 4

Compiler

Compiled 3196 to 1830 computations (42.7% saved)

simplify95.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	2376	1395
1	2376	1395

regimes691.0ms (1%)

Compiler: Compiled 5353 to 4357 computations (18.6% saved)

bsearch2.0ms (0%)

Compiler: Compiled 7 to 6 computations (14.3% saved)

regimes244.0ms (0.3%)

Compiler: Compiled 696 to 740 computations (-6.3% saved)

bsearch1.0ms (0%)

Compiler: Compiled 7 to 6 computations (14.3% saved)

regimes85.0ms (0.1%)

Compiler: Compiled 140 to 158 computations (-12.9% saved)

bsearch35.0ms (0%)

Steps

Iters	Range		Point
7	0.00019871824272961938	0.042659366971198875	0.010469761383647478
9	-95797.33168395348	-0.1322794553243022	-1.6774460782930338

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes63.0ms (0.1%)

Compiler: Compiled 78 to 98 computations (-25.6% saved)

bsearch127.0ms (0.2%)

Steps

Iters	Range		Point
12	0.042659366971198875	1.0257967395626402e+40	1.0150949325572587
9	-95797.33168395348	-0.1322794553243022	-1.7911385527128858

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes60.0ms (0.1%)

Compiler: Compiled 62 to 82 computations (-32.3% saved)

bsearch117.0ms (0.2%)

Steps

Iters	Range		Point
12	0.042659366971198875	1.0257967395626402e+40	1.0150949325572587
9	-95797.33168395348	-0.1322794553243022	-0.9976456158869615

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes23.0ms (0%)

Compiler: Compiled 46 to 66 computations (-43.5% saved)

bsearch0.0ms (0%)

regimes40.0ms (0.1%)

Compiler: Compiled 20 to 38 computations (-90% saved)

bsearch21.0ms (0%)

Steps

Iters	Range		Point
8	-8481599017.524112	-5439384.315115593	-5526857.883915273

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes22.0ms (0%)

Compiler: Compiled 10 to 26 computations (-160% saved)

bsearch20.0ms (0%)

Steps

Iters	Range		Point
8	-8481599017.524112	-5439384.315115593	-5526857.883915273

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes16.0ms (0%)

Accuracy

Total 0.0b remaining (74.7%)

Threshold costs 0.0b (74.7%)

Compiler

Compiled 8 to 20 computations (-150% saved)

bsearch10.0ms (0%)

Compiler: Compiled 184 to 156 computations (15.2% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	180	255
1	180	255

end0.0ms (0%)

sample2.2s (3.1%)

Algorithm

1×

intervals

Results

298.0ms	5881×	body	128	valid
190.0ms	1016×	body	1024	valid
143.0ms	1022×	body	1024	nan
86.0ms	638×	body	512	valid
70.0ms	656×	body	512	nan
38.0ms	380×	body	256	valid
25.0ms	365×	body	256	nan
24.0ms	85×	body	2048	valid
16.0ms	453×	body	128	nan
0.0ms	2×	body	2048	nan

Compiler

Compiled 1076 to 871 computations (19.1% saved)

Pareto

-0.44220657954829373

Details

analyze521.0ms (0.7%)

sample36.0ms (0.1%)

simplify431.0ms (0.6%)

prune7.0ms (0%)

localize9.0ms (0%)

rewrite61.0ms (0.1%)

series457.0ms (0.6%)

simplify66.0ms (0.1%)

prune269.0ms (0.4%)

localize16.0ms (0%)

rewrite204.0ms (0.3%)

series58.7s (83.2%)

simplify367.0ms (0.5%)

prune4.1s (5.8%)

localize8.0ms (0%)

rewrite51.0ms (0.1%)

series400.0ms (0.6%)

simplify99.0ms (0.1%)

prune184.0ms (0.3%)

localize13.0ms (0%)

rewrite65.0ms (0.1%)

series428.0ms (0.6%)

simplify75.0ms (0.1%)

prune150.0ms (0.2%)

simplify95.0ms (0.1%)

regimes691.0ms (1%)

bsearch2.0ms (0%)

regimes244.0ms (0.3%)

bsearch1.0ms (0%)

regimes85.0ms (0.1%)

bsearch35.0ms (0%)

regimes63.0ms (0.1%)

bsearch127.0ms (0.2%)

regimes60.0ms (0.1%)

bsearch117.0ms (0.2%)

regimes23.0ms (0%)

bsearch0.0ms (0%)

regimes40.0ms (0.1%)

bsearch21.0ms (0%)

regimes22.0ms (0%)

bsearch20.0ms (0%)

regimes16.0ms (0%)

bsearch10.0ms (0%)

simplify6.0ms (0%)

end0.0ms (0%)

sample2.2s (3.1%)

Profiling