Details

analyze415.0ms (13.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4595	25
1	4595	25
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 18 to 15 computations (16.7% saved)

sample17.0ms (0.5%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 35 to 30 computations (14.3% saved)

simplify256.0ms (8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (250.0ms)

Iter	Nodes	Cost
0	4595	25
1	4595	25

prune3.0ms (0.1%)

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

0.0b

Counts

2 → 1

Compiler

Compiled 34 to 28 computations (17.6% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) x)
0.0b	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))
0.1b	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
14.3b	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))

rewrite342.0ms (10.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

22×	`add-sqr-sqrt_binary64_1464`
17×	`*-un-lft-identity_binary64_1442`
15×	`add-cube-cbrt_binary64_1477`
10×	`times-frac_binary64_1448`
8×	`add-exp-log_binary64_1480` `add-log-exp_binary64_1481` `add-cbrt-cube_binary64_1478`
6×	`pow1_binary64_1503`
4×	`flip3-+_binary64_1445` `flip-+_binary64_1416`
3×	`associate-/l_binary64_1387` `associate-/r_binary64_1386` `associate-l_binary64_1383` `associate-r_binary64_1382` `cancel-sign-sub-inv_binary64_1408`
2×	`associate-/l/_binary64_1389` `associate-/r/_binary64_1388` `associate-*r/_binary64_1384` `difference-of-squares_binary64_1411`
1×	`div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `frac-2neg_binary64_1453` `clear-num_binary64_1441` `div-inv_binary64_1439` `pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `unswap-sqr_binary64_1410` `distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391` `*-commutative_binary64_1373` `sum-log_binary64_1533` `+-commutative_binary64_1372` `diff-log_binary64_1534` `flip3--_binary64_1446` `sub-neg_binary64_1435` `flip--_binary64_1417` `distribute-lft-out--_binary64_1394`

Counts

4 → 81

Calls

4 calls:

14.0ms	(-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) x)
11.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
9.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
5.0ms	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))

Compiler

Compiled 2360 to 1858 computations (21.3% saved)

series241.0ms (7.6%)

Error

Counts

4 → 34

Calls

4 calls:

67.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
56.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
52.0ms	(-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) x)
33.0ms	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))

Compiler

Compiled 1100 to 910 computations (17.3% saved)

simplify110.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4870	2350
1	4870	2350

prune170.0ms (5.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	114	2	116

Error

Counts

116 → 2

Compiler

Compiled 2566 to 1977 computations (23% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (*.f64 x 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496) -1913600308823862514215888482863/633825300114114700748351602688)
0.0b	(+.f64 162377988252285/70368744177664 (.f64 x (+.f64 (.f64 x 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496) -1913600308823862514215888482863/633825300114114700748351602688)))
0.2b	(.f64 x (+.f64 (.f64 x 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496) -1913600308823862514215888482863/633825300114114700748351602688))
0.2b	(*.f64 x 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496)

rewrite99.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`add-sqr-sqrt_binary64_1464`
8×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-log-exp_binary64_1481` `add-cbrt-cube_binary64_1478` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
6×	`associate-l_binary64_1383` `associate-r_binary64_1382`
3×	`flip3-+_binary64_1445` `flip-+_binary64_1416`
2×	`pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `unswap-sqr_binary64_1410` `-commutative_binary64_1373` `distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391` `associate-r/_binary64_1384` `sum-log_binary64_1533` `associate-+r+_binary64_1374` `+-commutative_binary64_1372`

Counts

4 → 64

Calls

4 calls:

7.0ms	(.f64 x (+.f64 (.f64 x 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496) -1913600308823862514215888482863/633825300114114700748351602688))
4.0ms	(+.f64 (*.f64 x 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496) -1913600308823862514215888482863/633825300114114700748351602688)
4.0ms	(*.f64 x 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496)
3.0ms	(+.f64 162377988252285/70368744177664 (.f64 x (+.f64 (.f64 x 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496) -1913600308823862514215888482863/633825300114114700748351602688)))

Compiler

Compiled 1028 to 813 computations (20.9% saved)

series209.0ms (6.6%)

Error

Counts

4 → 24

Calls

4 calls:

73.0ms	(+.f64 162377988252285/70368744177664 (.f64 x (+.f64 (.f64 x 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496) -1913600308823862514215888482863/633825300114114700748351602688)))
64.0ms	(.f64 x (+.f64 (.f64 x 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496) -1913600308823862514215888482863/633825300114114700748351602688))
41.0ms	(+.f64 (*.f64 x 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496) -1913600308823862514215888482863/633825300114114700748351602688)
18.0ms	(*.f64 x 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496)

Compiler

Compiled 504 to 439 computations (12.9% saved)

simplify124.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	4875	933
1	4875	933

prune69.0ms (2.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	88	2	90

Error

Counts

90 → 2

Compiler

Compiled 1094 to 853 computations (22% saved)

regimes106.0ms (3.3%)

Accuracy

Total 0.0b remaining (84.1%)

Threshold costs 0.0b (84.1%)

Compiler

Compiled 566 to 482 computations (14.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	75
1	35	75

end0.0ms (0%)

sample995.0ms (31.3%)

Algorithm

1×

intervals

Results

386.0ms

8000×

body

128

valid

Compiler

Compiled 307 to 261 computations (15% saved)

Details

analyze415.0ms (13.1%)

sample17.0ms (0.5%)

simplify256.0ms (8%)

prune3.0ms (0.1%)

localize10.0ms (0.3%)

rewrite342.0ms (10.7%)

series241.0ms (7.6%)

simplify110.0ms (3.5%)

prune170.0ms (5.3%)

localize11.0ms (0.3%)

rewrite99.0ms (3.1%)

series209.0ms (6.6%)

simplify124.0ms (3.9%)

prune69.0ms (2.2%)

regimes106.0ms (3.3%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample995.0ms (31.3%)

Profiling