Details

analyze175.0ms (6.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	256	20
1	256	20
0	2	2
1	2	2

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
40.6%	59.3%	0.1%	6
53.1%	45.3%	1.7%	7
62.4%	32.8%	4.8%	8
69.5%	22.6%	7.9%	9
74.5%	16.4%	9.1%	10
78.2%	11.1%	10.6%	11
80.9%	8.2%	10.9%	12
82.8%	5.5%	11.7%	13
84.1%	4.1%	11.8%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample20.0ms (0.7%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify18.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	256	10
1	256	10

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 14 to 10 computations (28.6% saved)

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite16.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`add-log-exp_binary64_5232`
2×	`diff-log_binary64_5285`
1×	`sum-log_binary64_5284` `pow1_binary64_5254` `add-exp-log_binary64_5231` `add-cbrt-cube_binary64_5229` `add-cube-cbrt_binary64_5228` `add-sqr-sqrt_binary64_5215` `flip3--_binary64_5197` `*-un-lft-identity_binary64_5193` `sub-neg_binary64_5186` `flip--_binary64_5168` `cancel-sign-sub-inv_binary64_5159` `associate--l+_binary64_5130`

Counts

1 → 14

Calls

1 calls:

6.0ms

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

Compiler

Compiled 205 to 51 computations (75.1% saved)

series81.0ms (2.9%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

75.0ms

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

Compiler

Compiled 178 to 111 computations (37.6% saved)

simplify66.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	6203	308

prune15.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	25	1	26
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	2	27

Error

0.0b

Counts

27 → 2

Compiler

Compiled 271 to 52 computations (80.8% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (+.f64 y x) (+.f64 y x))
0.3b	(.f64 (.f64 y x) (*.f64 y x))
8.8b	(-.f64 (.f64 (+.f64 y x) (+.f64 y x)) (.f64 (.f64 y x) (.f64 y x)))
29.9b	(/.f64 (-.f64 (.f64 (+.f64 y x) (+.f64 y x)) (.f64 (.f64 y x) (.f64 y x))) (+.f64 (+.f64 y x) (*.f64 y x)))

rewrite162.0ms (5.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

50×	`pow1_binary64_5254`
31×	`*-un-lft-identity_binary64_5193`
20×	`add-exp-log_binary64_5231` `add-cbrt-cube_binary64_5229`
19×	`add-sqr-sqrt_binary64_5215`
18×	`pow-prod-down_binary64_5264`
17×	`add-cube-cbrt_binary64_5228`
12×	`times-frac_binary64_5199`
9×	`prod-exp_binary64_5242` `cbrt-unprod_binary64_5226`
7×	`flip3-+_binary64_5196` `flip-+_binary64_5167` `swap-sqr_binary64_5160`
6×	`add-log-exp_binary64_5232` `distribute-lft-out_binary64_5144`
5×	`difference-of-squares_binary64_5162` `pow-prod-up_binary64_5263` `pow-sqr_binary64_5166` `associate-l_binary64_5134` `associate-r_binary64_5133`
4×	`associate-/l*_binary64_5138` `frac-times_binary64_5203`
3×	`associate-/r*_binary64_5137` `pow-plus_binary64_5256`
2×	`flip3--_binary64_5197` `associate-/l/_binary64_5140` `flip--_binary64_5168` `associate-/r/_binary64_5139` `distribute-rgt-in_binary64_5143` `associate--l+_binary64_5130` `distribute-lft-in_binary64_5142` `pow2_binary64_5274` `-commutative_binary64_5124` `associate-l/_binary64_5136` `associate-*r/_binary64_5135`
1×	`div-exp_binary64_5244` `cbrt-undiv_binary64_5227` `frac-2neg_binary64_5204` `div-sub_binary64_5198` `clear-num_binary64_5192` `div-inv_binary64_5190` `diff-log_binary64_5285` `sub-neg_binary64_5186` `cancel-sign-sub-inv_binary64_5159` `unswap-sqr_binary64_5161`

Counts

4 → 125

Calls

4 calls:

16.0ms	(/.f64 (-.f64 (.f64 (+.f64 y x) (+.f64 y x)) (.f64 (.f64 y x) (.f64 y x))) (+.f64 (+.f64 y x) (*.f64 y x)))
10.0ms	(-.f64 (.f64 (+.f64 y x) (+.f64 y x)) (.f64 (.f64 y x) (.f64 y x)))
9.0ms	(*.f64 (+.f64 y x) (+.f64 y x))
6.0ms	(.f64 (.f64 y x) (*.f64 y x))

Compiler

Compiled 4243 to 557 computations (86.9% saved)

series668.0ms (23.8%)

Error

0.0b

Counts

4 → 54

Calls

4 calls:

244.0ms	(-.f64 (.f64 (+.f64 y x) (+.f64 y x)) (.f64 (.f64 y x) (.f64 y x)))
216.0ms	(/.f64 (-.f64 (.f64 (+.f64 y x) (+.f64 y x)) (.f64 (.f64 y x) (.f64 y x))) (+.f64 (+.f64 y x) (*.f64 y x)))
94.0ms	(*.f64 (+.f64 y x) (+.f64 y x))
67.0ms	(.f64 (.f64 y x) (*.f64 y x))

Compiler

Compiled 3252 to 1902 computations (41.5% saved)

simplify101.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4964	3089
1	4964	3089

prune148.0ms (5.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	178	1	179
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	179	2	181

Error

0.0b

Counts

181 → 2

Compiler

Compiled 4502 to 1204 computations (73.3% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 1 (*.f64 x x))
6.4b	(.f64 y (-.f64 1 (.f64 x x)))
7.1b	(/.f64 (.f64 y (-.f64 1 (.f64 x x))) (+.f64 x 1))

rewrite79.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

13×	`*-un-lft-identity_binary64_5193`
11×	`add-sqr-sqrt_binary64_5215`
10×	`add-exp-log_binary64_5231` `add-cbrt-cube_binary64_5229`
7×	`add-cube-cbrt_binary64_5228`
5×	`pow1_binary64_5254` `add-log-exp_binary64_5232` `associate-r_binary64_5133`
4×	`times-frac_binary64_5199` `associate-r/_binary64_5135` `associate-/r_binary64_5137` `difference-of-squares_binary64_5162`
3×	`flip3--_binary64_5197` `flip--_binary64_5168` `sub-neg_binary64_5186` `cancel-sign-sub-inv_binary64_5159` `associate-l_binary64_5134`
2×	`prod-exp_binary64_5242` `div-exp_binary64_5244` `cbrt-undiv_binary64_5227` `cbrt-unprod_binary64_5226` `distribute-lft-out_binary64_5144` `associate-/l/_binary64_5140` `associate-/r/_binary64_5139` `distribute-rgt-in_binary64_5143` `distribute-lft-in_binary64_5142`
1×	`frac-2neg_binary64_5204` `clear-num_binary64_5192` `div-inv_binary64_5190` `flip3-+_binary64_5196` `flip-+_binary64_5167` `associate-/l_binary64_5138` `pow-prod-down_binary64_5264` `unswap-sqr_binary64_5161` `-commutative_binary64_5124` `diff-log_binary64_5285`

Counts

3 → 67

Calls

3 calls:

9.0ms	(/.f64 (.f64 y (-.f64 1 (.f64 x x))) (+.f64 x 1))
6.0ms	(.f64 y (-.f64 1 (.f64 x x)))
3.0ms	(-.f64 1 (*.f64 x x))

Compiler

Compiled 1241 to 731 computations (41.1% saved)

series263.0ms (9.4%)

Error

0.0b

Counts

3 → 24

Calls

3 calls:

129.0ms	(/.f64 (.f64 y (-.f64 1 (.f64 x x))) (+.f64 x 1))
86.0ms	(.f64 y (-.f64 1 (.f64 x x)))
36.0ms	(-.f64 1 (*.f64 x x))

Compiler

Compiled 575 to 463 computations (19.5% saved)

simplify59.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5166	1136

prune65.0ms (2.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	91	2	93

Error

0.0b

Counts

93 → 2

Compiler

Compiled 1277 to 724 computations (43.3% saved)

regimes72.0ms (2.6%)

Accuracy

Total 0.0b remaining (93.8%)

Threshold costs 0.0b (93.8%)

Compiler

Compiled 540 to 300 computations (44.4% saved)

bsearch0.0ms (0%)

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	10
1	34	10

Compiler

Compiled 14 to 10 computations (28.6% saved)

end0.0ms (0%)

sample758.0ms (27.1%)

Algorithm

1×

intervals

Results

178.0ms	7998×	body	128	valid
2.0ms	92×	body	128	invalid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 189 to 107 computations (43.4% saved)

Details

analyze175.0ms (6.3%)

sample20.0ms (0.7%)

simplify18.0ms (0.6%)

prune2.0ms (0.1%)

localize9.0ms (0.3%)

rewrite16.0ms (0.6%)

series81.0ms (2.9%)

simplify66.0ms (2.4%)

prune15.0ms (0.6%)

localize9.0ms (0.3%)

rewrite162.0ms (5.8%)

series668.0ms (23.8%)

simplify101.0ms (3.6%)

prune148.0ms (5.3%)

localize7.0ms (0.2%)

rewrite79.0ms (2.8%)

series263.0ms (9.4%)

simplify59.0ms (2.1%)

prune65.0ms (2.3%)

regimes72.0ms (2.6%)

bsearch0.0ms (0%)

simplify8.0ms (0.3%)

end0.0ms (0%)

sample758.0ms (27.1%)

Profiling