Details

analyze178.0ms (9.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	418	20
1	418	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
12.5%	87.4%	0.1%	4
31.2%	68.7%	0.1%	5
43.7%	56.2%	0.1%	6
56.2%	40.6%	3.2%	7
64%	29.7%	6.3%	8
71%	20.3%	8.7%	9
75.3%	15.2%	9.5%	10
79%	10.1%	10.8%	11
81.3%	7.7%	11%	12
83.2%	5%	11.8%	13
84.4%	3.8%	11.8%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample15.0ms (0.8%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify18.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (13.0ms)

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 12 computations (14.3% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite44.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`add-sqr-sqrt_binary64_5215` `*-un-lft-identity_binary64_5193`
5×	`add-cube-cbrt_binary64_5228`
4×	`pow1_binary64_5254` `add-exp-log_binary64_5231` `add-log-exp_binary64_5232` `add-cbrt-cube_binary64_5229` `associate-l_binary64_5134`
3×	`associate-r_binary64_5133` `cancel-sign-sub-inv_binary64_5159`
2×	`associate-*l/_binary64_5136`
1×	`pow-prod-down_binary64_5264` `prod-exp_binary64_5242` `cbrt-unprod_binary64_5226` `unswap-sqr_binary64_5161` `flip3-+_binary64_5196` `flip-+_binary64_5167` `distribute-lft-out_binary64_5144` `*-commutative_binary64_5124` `diff-log_binary64_5285` `flip3--_binary64_5197` `sub-neg_binary64_5186` `flip--_binary64_5168`

Counts

2 → 35

Calls

2 calls:

7.0ms	(*.f64 (+.f64 x 1) y)
6.0ms	(-.f64 (*.f64 (+.f64 x 1) y) x)

Compiler

Compiled 493 to 319 computations (35.3% saved)

series137.0ms (7.2%)

Error

Counts

2 → 21

Calls

2 calls:

73.0ms	(-.f64 (*.f64 (+.f64 x 1) y) x)
51.0ms	(*.f64 (+.f64 x 1) y)

Compiler

Compiled 330 to 200 computations (39.4% saved)

simplify89.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4937	541
1	4937	541

prune35.0ms (1.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	54	2	56
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	54	3	57

Error

0.0b

Counts

57 → 3

Compiler

Compiled 572 to 193 computations (66.3% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite27.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

9×	`add-log-exp_binary64_5232`
5×	`add-sqr-sqrt_binary64_5215` `*-un-lft-identity_binary64_5193`
3×	`add-cube-cbrt_binary64_5228` `cancel-sign-sub-inv_binary64_5159`
2×	`sum-log_binary64_5284` `diff-log_binary64_5285` `pow1_binary64_5254` `add-exp-log_binary64_5231` `add-cbrt-cube_binary64_5229`
1×	`flip3--_binary64_5197` `sub-neg_binary64_5186` `flip--_binary64_5168` `difference-of-squares_binary64_5162` `distribute-lft-out--_binary64_5145` `associate--l+_binary64_5130` `flip3-+_binary64_5196` `flip-+_binary64_5167` `+-commutative_binary64_5123`

Counts

2 → 29

Calls

2 calls:

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

Compiler

Compiled 420 to 107 computations (74.5% saved)

series126.0ms (6.6%)

Error

Counts

2 → 21

Calls

2 calls:

70.0ms	(-.f64 (+.f64 y (*.f64 y x)) x)
47.0ms	(+.f64 y (*.f64 y x))

Compiler

Compiled 330 to 200 computations (39.4% saved)

simplify63.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5047	529

prune25.0ms (1.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	50	3	53

Error

0.0b

Counts

53 → 3

Compiler

Compiled 498 to 109 computations (78.1% saved)

localize7.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 x 1))
0.0b	(sqrt.f64 (+.f64 x 1))
0.1b	(*.f64 y (sqrt.f64 (+.f64 x 1)))
0.1b	(.f64 (sqrt.f64 (+.f64 x 1)) (.f64 y (sqrt.f64 (+.f64 x 1))))

rewrite126.0ms (6.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

19×	`*-un-lft-identity_binary64_5193`
18×	`sqrt-div_binary64_5210`
17×	`add-sqr-sqrt_binary64_5215` `sqrt-prod_binary64_5209`
13×	`pow1_binary64_5254`
11×	`add-exp-log_binary64_5231` `add-cbrt-cube_binary64_5229` `add-cube-cbrt_binary64_5228`
10×	`associate-r/_binary64_5135` `associate-l*_binary64_5134`
9×	`flip3-+_binary64_5196` `flip-+_binary64_5167`
8×	`associate-r_binary64_5133`
4×	`pow-prod-down_binary64_5264` `prod-exp_binary64_5242` `add-log-exp_binary64_5232` `cbrt-unprod_binary64_5226` `frac-times_binary64_5203` `distribute-lft-out_binary64_5144`
2×	`associate-l/_binary64_5136` `-commutative_binary64_5124` `unswap-sqr_binary64_5161` `pow1/2_binary64_5273` `sqrt-pow1_binary64_5211` `rem-sqrt-square_binary64_5206`

Counts

4 → 87

Calls

4 calls:

12.0ms	(.f64 (sqrt.f64 (+.f64 x 1)) (.f64 y (sqrt.f64 (+.f64 x 1))))
7.0ms	(*.f64 y (sqrt.f64 (+.f64 x 1)))
3.0ms	(sqrt.f64 (+.f64 x 1))
3.0ms	(sqrt.f64 (+.f64 x 1))

Compiler

Compiled 1836 to 1342 computations (26.9% saved)

series162.0ms (8.5%)

Error

0.0b

Counts

4 → 30

Calls

4 calls:

58.0ms	(*.f64 y (sqrt.f64 (+.f64 x 1)))
52.0ms	(.f64 (sqrt.f64 (+.f64 x 1)) (.f64 y (sqrt.f64 (+.f64 x 1))))
16.0ms	(sqrt.f64 (+.f64 x 1))
15.0ms	(sqrt.f64 (+.f64 x 1))

Compiler

Compiled 945 to 699 computations (26% saved)

simplify83.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5132	1254

prune96.0ms (5.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	117	3	120

Error

0.0b

Counts

120 → 3

Compiler

Compiled 1851 to 1207 computations (34.8% saved)

regimes70.0ms (3.7%)

Accuracy

Total 0.0b remaining (88.2%)

Threshold costs 0.0b (88.2%)

Compiler

Compiled 393 to 341 computations (13.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	10
1	18	10

end0.0ms (0%)

sample590.0ms (31%)

Algorithm

1×

intervals

Results

181.0ms	7995×	body	128	valid
2.0ms	75×	body	128	invalid
0.0ms	3×	body	1024	valid
0.0ms	1×	body	512	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 140 to 121 computations (13.6% saved)

Details

analyze178.0ms (9.3%)

sample15.0ms (0.8%)

simplify18.0ms (0.9%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

rewrite44.0ms (2.3%)

series137.0ms (7.2%)

simplify89.0ms (4.7%)

prune35.0ms (1.8%)

localize4.0ms (0.2%)

rewrite27.0ms (1.4%)

series126.0ms (6.6%)

simplify63.0ms (3.3%)

prune25.0ms (1.3%)

localize7.0ms (0.4%)

rewrite126.0ms (6.6%)

series162.0ms (8.5%)

simplify83.0ms (4.4%)

prune96.0ms (5.1%)

regimes70.0ms (3.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample590.0ms (31%)

Profiling