Details

analyze558.0ms (16.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4922	14
1	4922	14
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
25%	50%	25%	4
25%	37.5%	37.5%	5
25%	31.2%	43.8%	6
25%	28.1%	46.9%	7
25%	26.5%	48.5%	8
25%	25.8%	49.2%	9
25%	25.4%	49.6%	10
25%	25.2%	49.8%	11
25%	25.1%	49.9%	12
25%	25%	50%	13
25%	25%	50%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample61.0ms (1.8%)

Algorithm

1×

intervals

Results

23.0ms	127×	body	2048	nan
11.0ms	256×	body	128	valid
8.0ms	64×	body	1024	nan
4.0ms	43×	body	512	nan
1.0ms	14×	body	256	nan
0.0ms	14×	body	128	nan

Compiler

Compiled 19 to 16 computations (15.8% saved)

simplify143.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (137.0ms)

Iter	Nodes	Cost
0	4922	14
1	4922	14

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

31.9b

Counts

2 → 1

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (*.f64 x x) 1)
0.0b	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
29.7b	(sqrt.f64 (-.f64 (*.f64 x x) 1))

rewrite68.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`*-un-lft-identity_binary64_3829`
8×	`add-sqr-sqrt_binary64_3851`
7×	`add-log-exp_binary64_3868`
6×	`sqrt-prod_binary64_3845`
5×	`add-cube-cbrt_binary64_3864`
4×	`pow1_binary64_3890` `difference-of-squares_binary64_3798`
3×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `cancel-sign-sub-inv_binary64_3795`
2×	`flip3--_binary64_3833` `sqrt-div_binary64_3846` `flip--_binary64_3804` `difference-of-sqr-1_binary64_3799`
1×	`pow1/2_binary64_3909` `sqrt-pow1_binary64_3847` `rem-sqrt-square_binary64_3842` `sum-log_binary64_3920` `flip3-+_binary64_3832` `flip-+_binary64_3803` `distribute-lft-out_binary64_3780` `+-commutative_binary64_3759` `diff-log_binary64_3921` `sub-neg_binary64_3822`

Counts

3 → 47

Calls

3 calls:

7.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
5.0ms	(sqrt.f64 (-.f64 (*.f64 x x) 1))
4.0ms	(-.f64 (*.f64 x x) 1)

Compiler

Compiled 719 to 442 computations (38.5% saved)

series163.0ms (4.8%)

Error

Counts

3 → 19

Calls

3 calls:

51.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
50.0ms	(-.f64 (*.f64 x x) 1)
46.0ms	(sqrt.f64 (-.f64 (*.f64 x x) 1))

Compiler

Compiled 428 to 363 computations (15.2% saved)

simplify59.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5114	723

prune47.0ms (1.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	65	2	67

Error

Counts

67 → 2

Compiler

Compiled 650 to 419 computations (35.5% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
0.0b	(+.f64 x (-.f64 x (/.f64 1/2 x)))

rewrite64.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

20×	`*-un-lft-identity_binary64_3829`
14×	`associate-+r+_binary64_3761`
13×	`cancel-sign-sub-inv_binary64_3795`
10×	`add-cube-cbrt_binary64_3864` `add-sqr-sqrt_binary64_3851`
9×	`times-frac_binary64_3835`
7×	`add-log-exp_binary64_3868`
5×	`log-prod_binary64_3915`
4×	`distribute-lft-out_binary64_3780`
3×	`pow1_binary64_3890` `add-exp-log_binary64_3867`
2×	`sum-log_binary64_3920` `add-cbrt-cube_binary64_3865` `flip3-+_binary64_3832` `flip-+_binary64_3803` `distribute-lft-out--_binary64_3781` `log-div_binary64_3916`
1×	`diff-log_binary64_3921` `associate-+r-_binary64_3763` `sub-neg_binary64_3822` `div-inv_binary64_3826` `+-commutative_binary64_3759` `log-pow_binary64_3918` `rem-log-exp_binary64_3870`

Counts

2 → 45

Calls

2 calls:

11.0ms	(+.f64 x (-.f64 x (/.f64 1/2 x)))
9.0ms	(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))

Compiler

Compiled 667 to 436 computations (34.6% saved)

series142.0ms (4.2%)

Error

Counts

2 → 10

Calls

2 calls:

88.0ms	(+.f64 x (-.f64 x (/.f64 1/2 x)))
49.0ms	(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))

Compiler

Compiled 207 to 188 computations (9.2% saved)

simplify51.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4787	626
1	4787	626

prune44.0ms (1.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	55	2	57

Error

Counts

57 → 2

Compiler

Compiled 626 to 401 computations (35.9% saved)

regimes86.0ms (2.5%)

Accuracy

Total 0.0b remaining (13.4%)

Threshold costs 0.0b (13.4%)

Compiler

Compiled 265 to 233 computations (12.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	19
1	17	19

end1.0ms (0%)

Compiler: Compiled 12 to 10 computations (16.7% saved)

sample1.9s (55.6%)

Algorithm

1×

intervals

Results

655.0ms	4077×	body	2048	nan
355.0ms	8000×	body	128	valid
247.0ms	2008×	body	1024	nan
89.0ms	989×	body	512	nan
32.0ms	535×	body	256	nan
16.0ms	503×	body	128	nan
1.0ms	6×	body	4096	nan

Compiler

Compiled 42 to 38 computations (9.5% saved)

Details

analyze558.0ms (16.4%)

sample61.0ms (1.8%)

simplify143.0ms (4.2%)

prune2.0ms (0.1%)

localize8.0ms (0.2%)

rewrite68.0ms (2%)

series163.0ms (4.8%)

simplify59.0ms (1.7%)

prune47.0ms (1.4%)

localize8.0ms (0.2%)

rewrite64.0ms (1.9%)

series142.0ms (4.2%)

simplify51.0ms (1.5%)

prune44.0ms (1.3%)

regimes86.0ms (2.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end1.0ms (0%)

sample1.9s (55.6%)

Profiling