Details

analyze73.0ms (3.3%)

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
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
56.2%	43.7%	0.1%	7
65.6%	34.3%	0.1%	8
76.5%	23.4%	0.1%	9
82%	18%	0.1%	10
87.8%	12.1%	0.1%	11
90.7%	9.2%	0.1%	12
93.8%	6.1%	0.1%	13
95.3%	4.6%	0.1%	14

Compiler

Compiled 6 to 6 computations (0% saved)

sample11.0ms (0.5%)

Algorithm

1×

intervals

Results

4.0ms	250×	body	128	valid
0.0ms	3×	body	2048	valid
0.0ms	2×	body	512	valid
0.0ms	1×	body	1024	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify100.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	156	7
1	156	7

prune2.0ms (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 10 to 10 computations (0% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 200 (-.f64 x y))
0.0b	(*.f64 200 (-.f64 x y))

rewrite9.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_8625`
7×	`*-un-lft-identity_binary64_8603`
6×	`cancel-sign-sub-inv_binary64_8569`
5×	`add-cube-cbrt_binary64_8638` `associate-r_binary64_8543`
4×	`distribute-lft-in_binary64_8552` `distribute-rgt-in_binary64_8553`
3×	`add-exp-log_binary64_8641` `associate-l_binary64_8544` `add-cbrt-cube_binary64_8639` `pow1_binary64_8664`
2×	`associate-*r/_binary64_8545` `sub-neg_binary64_8596`
1×	`difference-of-squares_binary64_8572` `add-log-exp_binary64_8642` `flip3--_binary64_8607` `cbrt-unprod_binary64_8636` `distribute-lft-out--_binary64_8555` `*-commutative_binary64_8534` `prod-exp_binary64_8652` `flip--_binary64_8578` `pow-prod-down_binary64_8674` `unswap-sqr_binary64_8571`

Counts

1 → 30

Calls

2 calls:

7.0ms	(*.f64 200 (-.f64 x y))
0.0ms	(*.f64 200 (-.f64 x y))

series65.0ms (2.9%)

Counts

1 → 12

Calls

1 calls:

64.0ms

(*.f64 200 (-.f64 x y))

Compiler

Compiled 102 to 108 computations (-5.9% saved)

simplify41.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4959	343
1	4959	343

prune34.0ms (1.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	39	3	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	40	3	43

Error

Counts

43 → 3

Compiler

Compiled 355 to 213 computations (40% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 200 x) (.f64 y -200))
0.0b	(+.f64 (.f64 200 x) (.f64 y -200))

rewrite5.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_8642`
1×	`add-cube-cbrt_binary64_8638` `flip3-+_binary64_8606` `add-sqr-sqrt_binary64_8625` `add-exp-log_binary64_8641` `*-un-lft-identity_binary64_8603` `flip-+_binary64_8577` `add-cbrt-cube_binary64_8639` `pow1_binary64_8664` `sum-log_binary64_8694` `+-commutative_binary64_8533`

Counts

1 → 11

Calls

2 calls:

4.0ms	(+.f64 (.f64 200 x) (.f64 y -200))
0.0ms	(+.f64 (.f64 200 x) (.f64 y -200))

series80.0ms (3.6%)

Counts

1 → 12

Calls

1 calls:

80.0ms

(+.f64 (*.f64 200 x) (*.f64 y -200))

Compiler

Compiled 102 to 108 computations (-5.9% saved)

simplify70.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4964	204
1	4964	204

prune15.0ms (0.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	23	0	23
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	23	3	26

Error

Counts

26 → 3

Compiler

Compiled 195 to 127 computations (34.9% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (.f64 (cbrt.f64 200) (cbrt.f64 200)) (*.f64 (-.f64 x y) (cbrt.f64 200)))
0.1b	(*.f64 (-.f64 x y) (cbrt.f64 200))
0.1b	(*.f64 (-.f64 x y) (cbrt.f64 200))
0.4b	(.f64 (.f64 (cbrt.f64 200) (cbrt.f64 200)) (*.f64 (-.f64 x y) (cbrt.f64 200)))

rewrite25.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-exp-log_binary64_8641` `pow1_binary64_8664`
11×	`add-sqr-sqrt_binary64_8625`
9×	`cbrt-unprod_binary64_8636` `add-cbrt-cube_binary64_8639` `prod-exp_binary64_8652` `pow-prod-down_binary64_8674`
7×	`-un-lft-identity_binary64_8603` `associate-r*_binary64_8543`
6×	`associate-l_binary64_8544`
5×	`add-cube-cbrt_binary64_8638`
4×	`cbrt-prod_binary64_8634` `associate-*l/_binary64_8546`
2×	`add-log-exp_binary64_8642` `flip3--_binary64_8607` `associate-r/_binary64_8545` `-commutative_binary64_8534` `flip--_binary64_8578` `unswap-sqr_binary64_8571`
1×	`difference-of-squares_binary64_8572` `distribute-lft-out--_binary64_8555`

Counts

2 → 50

Calls

4 calls:

12.0ms	(.f64 (.f64 (cbrt.f64 200) (cbrt.f64 200)) (*.f64 (-.f64 x y) (cbrt.f64 200)))
8.0ms	(*.f64 (-.f64 x y) (cbrt.f64 200))
0.0ms	(*.f64 (-.f64 x y) (cbrt.f64 200))
0.0ms	(.f64 (.f64 (cbrt.f64 200) (cbrt.f64 200)) (*.f64 (-.f64 x y) (cbrt.f64 200)))

series281.0ms (12.8%)

Counts

2 → 24

Calls

2 calls:

177.0ms	(.f64 (.f64 (cbrt.f64 200) (cbrt.f64 200)) (*.f64 (-.f64 x y) (cbrt.f64 200)))
103.0ms	(*.f64 (-.f64 x y) (cbrt.f64 200))

Compiler

Compiled 444 to 456 computations (-2.7% saved)

simplify54.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5121	718

prune57.0ms (2.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	74	3	77

Error

Counts

77 → 3

Compiler

Compiled 892 to 627 computations (29.7% saved)

localize6.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (sqrt.f64 200) (.f64 (-.f64 x y) (sqrt.f64 200)))
0.2b	(*.f64 (-.f64 x y) (sqrt.f64 200))
0.2b	(*.f64 (-.f64 x y) (sqrt.f64 200))
0.3b	(.f64 (sqrt.f64 200) (.f64 (-.f64 x y) (sqrt.f64 200)))

rewrite25.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_8625`
11×	`associate-l_binary64_8544`
9×	`add-exp-log_binary64_8641` `*-un-lft-identity_binary64_8603` `add-cbrt-cube_binary64_8639` `pow1_binary64_8664`
7×	`add-cube-cbrt_binary64_8638` `sqrt-prod_binary64_8619` `associate-r_binary64_8543`
4×	`cbrt-unprod_binary64_8636` `prod-exp_binary64_8652` `associate-*l/_binary64_8546` `pow-prod-down_binary64_8674`
2×	`add-log-exp_binary64_8642` `flip3--_binary64_8607` `associate-r/_binary64_8545` `-commutative_binary64_8534` `flip--_binary64_8578` `unswap-sqr_binary64_8571`
1×	`difference-of-squares_binary64_8572` `distribute-lft-out--_binary64_8555`

Counts

2 → 49

Calls

4 calls:

11.0ms	(.f64 (sqrt.f64 200) (.f64 (-.f64 x y) (sqrt.f64 200)))
8.0ms	(*.f64 (-.f64 x y) (sqrt.f64 200))
0.0ms	(*.f64 (-.f64 x y) (sqrt.f64 200))
0.0ms	(.f64 (sqrt.f64 200) (.f64 (-.f64 x y) (sqrt.f64 200)))

series244.0ms (11.1%)

Counts

2 → 24

Calls

2 calls:

146.0ms	(.f64 (sqrt.f64 200) (.f64 (-.f64 x y) (sqrt.f64 200)))
97.0ms	(*.f64 (-.f64 x y) (sqrt.f64 200))

Compiler

Compiled 390 to 402 computations (-3.1% saved)

simplify56.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5416	711

prune49.0ms (2.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	73	3	76

Error

Counts

76 → 3

Compiler

Compiled 771 to 509 computations (34% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	109	202
1	109	202

regimes103.0ms (4.7%)

Compiler: Compiled 564 to 544 computations (3.5% saved)

bsearch0.0ms (0%)

regimes83.0ms (3.8%)

Compiler: Compiled 22 to 42 computations (-90.9% saved)

bsearch63.0ms (2.9%)

Steps

Iters	Range		Point
11	6.359488341454339e+68	5.2800181309534735e+96	6.269600677571727e+75
7	1.096693703387436e+56	3.646891670925664e+57	2.666617938657969e+56
9	168188903820.53632	61736752419681576.0	190523838892.67935
8	5.805194798300946e-71	2.4590966459452017e-66	1.458888362185229e-67
9	4.337400840385777e-109	7.006478989519684e-103	6.916875205818669e-103
9	-5.2960303310286235e-36	-3.2277965573561047e-41	-3.5339745518437e-37

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes21.0ms (1%)

Compiler: Compiled 16 to 34 computations (-112.5% saved)

bsearch0.0ms (0%)

regimes16.0ms (0.7%)

Accuracy

Total 0.0b remaining (97.7%)

Threshold costs 0.0b (97.7%)

Compiler

Compiled 10 to 26 computations (-160% saved)

bsearch3.0ms (0.1%)

Compiler: Compiled 54 to 46 computations (14.8% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	79	62
1	79	62

end0.0ms (0%)

sample577.0ms (26.3%)

Algorithm

1×

intervals

Results

146.0ms	7864×	body	128	valid
3.0ms	48×	body	2048	valid
3.0ms	46×	body	1024	valid
1.0ms	28×	body	512	valid
1.0ms	64×	body	128	invalid
0.0ms	14×	body	256	valid

Compiler

Compiled 184 to 177 computations (3.8% saved)

Pareto

0.5462263033556152

Details

analyze73.0ms (3.3%)

sample11.0ms (0.5%)

simplify100.0ms (4.6%)

prune2.0ms (0.1%)

localize8.0ms (0.3%)

rewrite9.0ms (0.4%)

series65.0ms (2.9%)

simplify41.0ms (1.9%)

prune34.0ms (1.5%)

localize5.0ms (0.2%)

rewrite5.0ms (0.2%)

series80.0ms (3.6%)

simplify70.0ms (3.2%)

prune15.0ms (0.7%)

localize7.0ms (0.3%)

rewrite25.0ms (1.1%)

series281.0ms (12.8%)

simplify54.0ms (2.4%)

prune57.0ms (2.6%)

localize6.0ms (0.3%)

rewrite25.0ms (1.2%)

series244.0ms (11.1%)

simplify56.0ms (2.6%)

prune49.0ms (2.3%)

simplify5.0ms (0.2%)

regimes103.0ms (4.7%)

bsearch0.0ms (0%)

regimes83.0ms (3.8%)

bsearch63.0ms (2.9%)

regimes21.0ms (1%)

bsearch0.0ms (0%)

regimes16.0ms (0.7%)

bsearch3.0ms (0.1%)

simplify5.0ms (0.2%)

end0.0ms (0%)

sample577.0ms (26.3%)

Profiling