Details

analyze66.0ms (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
12.5%	87.4%	0.1%	4
31.2%	68.7%	0.1%	5
43.7%	56.2%	0.1%	6
54.6%	42.1%	3.2%	7
63.2%	30.4%	6.3%	8
69.9%	21.5%	8.7%	9
75.3%	15.2%	9.5%	10
79%	10.1%	10.8%	11
82%	7%	11%	12
83.9%	4.4%	11.8%	13
84.7%	3.5%	11.8%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample17.0ms (0.3%)

Algorithm

1×

intervals

Results

5.0ms	184×	body	128	valid
2.0ms	27×	body	512	valid
2.0ms	20×	body	1024	valid
1.0ms	25×	body	256	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 19 to 19 computations (0% saved)

simplify280.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (184.0ms)

Iter	Nodes	Cost
0	5075	10

prune5.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite9.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-log-exp_binary64_18092`
4×	`associate-+l+_binary64_17986`
3×	`cancel-sign-sub-inv_binary64_18019`
2×	`add-cube-cbrt_binary64_18088` `*-un-lft-identity_binary64_18053` `add-sqr-sqrt_binary64_18075` `sum-log_binary64_18144`
1×	`diff-log_binary64_18145` `associate-+l-_binary64_17988` `flip-+_binary64_18027` `sub-neg_binary64_18046` `add-exp-log_binary64_18091` `+-commutative_binary64_17983` `flip3-+_binary64_18056` `pow1_binary64_18114` `add-cbrt-cube_binary64_18089`

Counts

1 → 17

Calls

2 calls:

8.0ms	(+.f64 (-.f64 1 y) (*.f64 x y))
0.0ms	(+.f64 (-.f64 1 y) (*.f64 x y))

series67.0ms (1.1%)

Counts

1 → 12

Calls

1 calls:

67.0ms

(+.f64 (-.f64 1 y) (*.f64 x y))

Compiler

Compiled 106 to 97 computations (8.5% saved)

simplify56.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4972	321
1	4972	321

prune22.0ms (0.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	28	1	29
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	2	30

Error

0.0b

Counts

30 → 2

Compiler

Compiled 296 to 151 computations (49% saved)

localize18.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.3b	(pow.f64 (*.f64 y x) 3)
0.1b	(.f64 x (+.f64 (.f64 y x) (+.f64 y -1)))
0.0b	(pow.f64 (-.f64 1 y) 3)
0.0b	(*.f64 (-.f64 1 y) (-.f64 1 y))
0.6b	(+.f64 (.f64 (-.f64 1 y) (-.f64 1 y)) (.f64 y (.f64 x (+.f64 (.f64 y x) (+.f64 y -1)))))
2.7b	(.f64 y (.f64 x (+.f64 (*.f64 y x) (+.f64 y -1))))
3.1b	(+.f64 (pow.f64 (-.f64 1 y) 3) (pow.f64 (*.f64 y x) 3))
19.4b	(/.f64 (+.f64 (pow.f64 (-.f64 1 y) 3) (pow.f64 (.f64 y x) 3)) (+.f64 (.f64 (-.f64 1 y) (-.f64 1 y)) (.f64 y (.f64 x (+.f64 (*.f64 y x) (+.f64 y -1))))))

rewrite99.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

76×	`associate-*r/_binary64_17995`
32×	`frac-add_binary64_18061`
27×	`*-un-lft-identity_binary64_18053`
24×	`flip--_binary64_18028` `flip3--_binary64_18057`
21×	`flip-+_binary64_18027` `flip3-+_binary64_18056`
18×	`associate-/r/_binary64_17999`
17×	`add-cube-cbrt_binary64_18088` `add-sqr-sqrt_binary64_18075`
16×	`frac-times_binary64_18063`
15×	`times-frac_binary64_18059`
12×	`distribute-lft-in_binary64_18002` `distribute-rgt-in_binary64_18003`
11×	`add-exp-log_binary64_18091` `add-cbrt-cube_binary64_18089`
9×	`pow1_binary64_18114`
8×	`associate-*l/_binary64_17996` `add-log-exp_binary64_18092` `associate-+l+_binary64_17986`
6×	`cancel-sign-sub-inv_binary64_18019`
5×	`sum-cubes_binary64_18054` `associate-/l*_binary64_17998` `distribute-lft-out_binary64_18004`
4×	`associate-+r+_binary64_17985`
3×	`pow-prod-down_binary64_18124` `associate-l_binary64_17994` `prod-exp_binary64_18102` `cbrt-unprod_binary64_18086` `associate-/r*_binary64_17997`
2×	`sub-neg_binary64_18046` `associate-/l/_binary64_18000` `+-commutative_binary64_17983` `sum-log_binary64_18144`
1×	`div-inv_binary64_18050` `associate-r_binary64_17993` `div-exp_binary64_18104` `cbrt-undiv_binary64_18087` `*-commutative_binary64_17984` `frac-2neg_binary64_18064` `clear-num_binary64_18052`

Counts

4 → 131

Calls

8 calls:

31.0ms	(/.f64 (+.f64 (pow.f64 (-.f64 1 y) 3) (pow.f64 (.f64 y x) 3)) (+.f64 (.f64 (-.f64 1 y) (-.f64 1 y)) (.f64 y (.f64 x (+.f64 (*.f64 y x) (+.f64 y -1))))))
15.0ms	(+.f64 (pow.f64 (-.f64 1 y) 3) (pow.f64 (*.f64 y x) 3))
14.0ms	(+.f64 (.f64 (-.f64 1 y) (-.f64 1 y)) (.f64 y (.f64 x (+.f64 (.f64 y x) (+.f64 y -1)))))
10.0ms	(.f64 y (.f64 x (+.f64 (*.f64 y x) (+.f64 y -1))))
0.0ms	(*.f64 (-.f64 1 y) (-.f64 1 y))

series1.4s (21.8%)

Counts

4 → 60

Calls

4 calls:

686.0ms	(/.f64 (+.f64 (pow.f64 (-.f64 1 y) 3) (pow.f64 (.f64 y x) 3)) (+.f64 (.f64 (-.f64 1 y) (-.f64 1 y)) (.f64 y (.f64 x (+.f64 (*.f64 y x) (+.f64 y -1))))))
303.0ms	(+.f64 (.f64 (-.f64 1 y) (-.f64 1 y)) (.f64 y (.f64 x (+.f64 (.f64 y x) (+.f64 y -1)))))
230.0ms	(+.f64 (pow.f64 (-.f64 1 y) 3) (pow.f64 (*.f64 y x) 3))
155.0ms	(.f64 y (.f64 x (+.f64 (*.f64 y x) (+.f64 y -1))))

Compiler

Compiled 3451 to 2704 computations (21.6% saved)

simplify107.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5042	8729

prune474.0ms (7.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	190	1	191
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	190	3	193

Error

Counts

193 → 3

Compiler

Compiled 9054 to 5362 computations (40.8% saved)

localize17.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.1b	(.f64 x (+.f64 (.f64 y x) (+.f64 y -1)))
0.0b	(*.f64 (-.f64 1 y) (-.f64 1 y))
0.0b	(*.f64 (-.f64 1 y) (-.f64 1 y))
0.0b	(+.f64 (-.f64 1 y) (*.f64 y x))
2.7b	(.f64 y (.f64 x (+.f64 (*.f64 y x) (+.f64 y -1))))
2.7b	(.f64 y (.f64 x (+.f64 (*.f64 y x) (+.f64 y -1))))
14.0b	(.f64 (+.f64 (.f64 (-.f64 1 y) (-.f64 1 y)) (.f64 y (.f64 x (+.f64 (.f64 y x) (+.f64 y -1))))) (/.f64 (+.f64 (-.f64 1 y) (.f64 y x)) (+.f64 (.f64 (-.f64 1 y) (-.f64 1 y)) (.f64 y (.f64 x (+.f64 (.f64 y x) (+.f64 y -1)))))))
14.0b	(/.f64 (+.f64 (-.f64 1 y) (.f64 y x)) (+.f64 (.f64 (-.f64 1 y) (-.f64 1 y)) (.f64 y (.f64 x (+.f64 (*.f64 y x) (+.f64 y -1))))))

rewrite134.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

153×	`associate-*r/_binary64_17995`
64×	`frac-add_binary64_18061`
50×	`frac-times_binary64_18063`
48×	`flip--_binary64_18028` `flip3--_binary64_18057`
39×	`flip-+_binary64_18027` `flip3-+_binary64_18056`
36×	`associate-/r/_binary64_17999`
34×	`associate-*l/_binary64_17996`
33×	`associate-r_binary64_17993`
27×	`add-sqr-sqrt_binary64_18075`
22×	`add-cube-cbrt_binary64_18088` `*-un-lft-identity_binary64_18053`
21×	`add-exp-log_binary64_18091` `add-cbrt-cube_binary64_18089`
19×	`times-frac_binary64_18059`
16×	`pow1_binary64_18114`
9×	`associate-l_binary64_17994`
8×	`prod-exp_binary64_18102` `cbrt-unprod_binary64_18086` `distribute-lft-in_binary64_18002` `distribute-rgt-in_binary64_18003`
7×	`pow-prod-down_binary64_18124`
4×	`add-log-exp_binary64_18092`
3×	`associate-/l_binary64_17998` `-commutative_binary64_17984` `associate-/r*_binary64_17997`
2×	`div-inv_binary64_18050` `div-exp_binary64_18104` `cbrt-undiv_binary64_18087` `associate-/l/_binary64_18000` `unswap-sqr_binary64_18021`
1×	`associate-+l-_binary64_17988` `frac-2neg_binary64_18064` `clear-num_binary64_18052` `div-sub_binary64_18058`

Counts

4 → 182

Calls

8 calls:

41.0ms	(.f64 (+.f64 (.f64 (-.f64 1 y) (-.f64 1 y)) (.f64 y (.f64 x (+.f64 (.f64 y x) (+.f64 y -1))))) (/.f64 (+.f64 (-.f64 1 y) (.f64 y x)) (+.f64 (.f64 (-.f64 1 y) (-.f64 1 y)) (.f64 y (.f64 x (+.f64 (.f64 y x) (+.f64 y -1)))))))
23.0ms	(/.f64 (+.f64 (-.f64 1 y) (.f64 y x)) (+.f64 (.f64 (-.f64 1 y) (-.f64 1 y)) (.f64 y (.f64 x (+.f64 (*.f64 y x) (+.f64 y -1))))))
11.0ms	(.f64 y (.f64 x (+.f64 (*.f64 y x) (+.f64 y -1))))
10.0ms	(.f64 y (.f64 x (+.f64 (*.f64 y x) (+.f64 y -1))))
0.0ms	(+.f64 (-.f64 1 y) (*.f64 y x))

series1.1s (18.2%)

Counts

4 → 57

Calls

4 calls:

739.0ms	(/.f64 (+.f64 (-.f64 1 y) (.f64 y x)) (+.f64 (.f64 (-.f64 1 y) (-.f64 1 y)) (.f64 y (.f64 x (+.f64 (*.f64 y x) (+.f64 y -1))))))
167.0ms	(.f64 y (.f64 x (+.f64 (*.f64 y x) (+.f64 y -1))))
160.0ms	(.f64 y (.f64 x (+.f64 (*.f64 y x) (+.f64 y -1))))
82.0ms	(.f64 (+.f64 (.f64 (-.f64 1 y) (-.f64 1 y)) (.f64 y (.f64 x (+.f64 (.f64 y x) (+.f64 y -1))))) (/.f64 (+.f64 (-.f64 1 y) (.f64 y x)) (+.f64 (.f64 (-.f64 1 y) (-.f64 1 y)) (.f64 y (.f64 x (+.f64 (.f64 y x) (+.f64 y -1)))))))

Compiler

Compiled 4680 to 3481 computations (25.6% saved)

simplify171.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

239 → 239

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4969	16068
1	4969	16068

prune853.0ms (13.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	239	0	239
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	239	3	242

Error

Counts

242 → 3

Compiler

Compiled 17370 to 9748 computations (43.9% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	119	363
1	119	363

regimes93.0ms (1.5%)

Accuracy

Total 0.0b remaining (79.1%)

Threshold costs 0.0b (79.1%)

Compiler

Compiled 772 to 597 computations (22.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

end0.0ms (0%)

sample1.3s (20.4%)

Algorithm

1×

intervals

Results

155.0ms	5967×	body	128	valid
69.0ms	737×	body	1024	valid
56.0ms	793×	body	512	valid
23.0ms	499×	body	256	valid
2.0ms	64×	body	128	invalid
0.0ms	4×	body	2048	valid

Compiler

Compiled 758 to 569 computations (24.9% saved)

Pareto

0.1729220985186546

Details

analyze66.0ms (1%)

sample17.0ms (0.3%)

simplify280.0ms (4.4%)

prune5.0ms (0.1%)

localize5.0ms (0.1%)

rewrite9.0ms (0.2%)

series67.0ms (1.1%)

simplify56.0ms (0.9%)

prune22.0ms (0.3%)

localize18.0ms (0.3%)

rewrite99.0ms (1.6%)

series1.4s (21.8%)

simplify107.0ms (1.7%)

prune474.0ms (7.5%)

localize17.0ms (0.3%)

rewrite134.0ms (2.1%)

series1.1s (18.2%)

simplify171.0ms (2.7%)

prune853.0ms (13.5%)

simplify6.0ms (0.1%)

regimes93.0ms (1.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.3s (20.4%)

Profiling