Details

analyze3.0ms (0.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
62.5%	12.5%	25%	5
68.7%	6.2%	25%	6
71.8%	3.1%	25%	7
73.4%	1.6%	25%	8
74.2%	0.8%	25%	9
74.6%	0.4%	25%	10
74.8%	0.2%	25%	11
74.9%	0.1%	25%	12
74.9%	0%	25%	13
74.9%	0%	25%	14

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample9.0ms (0.9%)

Algorithm

1×

intervals

Results

4.0ms

256×

body

128

valid

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify233.0ms (23.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (141.0ms)

Iter	Nodes	Cost
0	4891	7
1	4891	7

prune2.0ms (0.2%)

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 8 computations (20% saved)

localize3.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite6.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_8642` `add-sqr-sqrt_binary64_8625` `*-un-lft-identity_binary64_8603` `cancel-sign-sub-inv_binary64_8569`
2×	`difference-of-squares_binary64_8572` `add-cube-cbrt_binary64_8638`
1×	`add-exp-log_binary64_8641` `flip3--_binary64_8607` `difference-of-sqr-1_binary64_8573` `diff-log_binary64_8695` `add-cbrt-cube_binary64_8639` `flip--_binary64_8578` `pow1_binary64_8664` `sub-neg_binary64_8596`

Counts

1 → 17

Calls

2 calls:

5.0ms	(-.f64 (*.f64 x x) 1)
0.0ms	(-.f64 (*.f64 x x) 1)

series33.0ms (3.3%)

Counts

1 → 6

Calls

1 calls:

33.0ms

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

Compiler

Compiled 37 to 38 computations (-2.7% saved)

simplify88.0ms (8.8%)

Algorithm

1×	egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4996	176
1	4996	176

prune15.0ms (1.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	22	1	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	2	24

Error

Counts

24 → 2

Compiler

Compiled 172 to 98 computations (43% saved)

localize5.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

rewrite11.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64_8603`
6×	`flip3-+_binary64_8606` `add-sqr-sqrt_binary64_8625` `flip-+_binary64_8577`
5×	`associate-r_binary64_8543`
4×	`associate-l_binary64_8544` `frac-times_binary64_8613`
3×	`add-cube-cbrt_binary64_8638` `add-exp-log_binary64_8641` `add-cbrt-cube_binary64_8639` `pow1_binary64_8664`
2×	`distribute-lft-out_binary64_8554` `associate-r/_binary64_8545` `associate-l/_binary64_8546`
1×	`add-log-exp_binary64_8642` `difference-of-sqr--1_binary64_8574` `cbrt-unprod_binary64_8636` `distribute-lft-in_binary64_8552` `distribute-rgt-in_binary64_8553` `*-commutative_binary64_8534` `prod-exp_binary64_8652` `pow-prod-down_binary64_8674` `unswap-sqr_binary64_8571`

Counts

1 → 31

Calls

2 calls:

9.0ms	(*.f64 (+.f64 x 1) (+.f64 x -1))
0.0ms	(*.f64 (+.f64 x 1) (+.f64 x -1))

series51.0ms (5.1%)

Counts

1 → 6

Calls

1 calls:

51.0ms

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

Compiler

Compiled 37 to 38 computations (-2.7% saved)

simplify65.0ms (6.5%)

Algorithm

1×	egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4982	442
1	4982	442

prune22.0ms (2.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	37	0	37
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	37	2	39

Error

Counts

39 → 2

Compiler

Compiled 418 to 268 computations (35.9% saved)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	22
1	15	22

regimes22.0ms (2.2%)

Compiler: Compiled 44 to 42 computations (4.5% saved)

bsearch0.0ms (0%)

regimes34.0ms (3.4%)

Compiler: Compiled 20 to 22 computations (-10% saved)

bsearch6.0ms (0.6%)

Steps

Iters	Range		Point
6	0.4824925384698944	7.384483152514664	1.0007925929320625

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.8%)

Compiler: Compiled 5 to 8 computations (-60% saved)

bsearch0.0ms (0%)

regimes7.0ms (0.7%)

Accuracy

Total 0.0b remaining (60.4%)

Threshold costs 0.0b (60.4%)

Compiler

Compiled 4 to 6 computations (-50% saved)

bsearch4.0ms (0.4%)

Compiler: Compiled 17 to 14 computations (17.6% saved)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	23
1	12	23

end0.0ms (0%)

sample368.0ms (36.9%)

Algorithm

1×

intervals

Results

142.0ms	8000×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 41 to 38 computations (7.3% saved)

Pareto

0.5480022281168228

Details

analyze3.0ms (0.3%)

sample9.0ms (0.9%)

simplify233.0ms (23.3%)

prune2.0ms (0.2%)

localize3.0ms (0.3%)

rewrite6.0ms (0.6%)

series33.0ms (3.3%)

simplify88.0ms (8.8%)

prune15.0ms (1.5%)

localize5.0ms (0.5%)

rewrite11.0ms (1.1%)

series51.0ms (5.1%)

simplify65.0ms (6.5%)

prune22.0ms (2.2%)

simplify2.0ms (0.2%)

regimes22.0ms (2.2%)

bsearch0.0ms (0%)

regimes34.0ms (3.4%)

bsearch6.0ms (0.6%)

regimes8.0ms (0.8%)

bsearch0.0ms (0%)

regimes7.0ms (0.7%)

bsearch4.0ms (0.4%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample368.0ms (36.9%)

Profiling