Details

analyze511.0ms (18%)

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)

sample51.0ms (1.8%)

Algorithm

1×

intervals

Results

19.0ms	109×	body	2048	nan
11.0ms	256×	body	128	valid
7.0ms	56×	body	1024	nan
3.0ms	30×	body	512	nan
1.0ms	18×	body	256	nan
0.0ms	11×	body	128	nan

Compiler

Compiled 19 to 16 computations (15.8% saved)

simplify146.0ms (5.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (141.0ms)

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

Merged error: 34.1b

Counts

2 → 1

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize7.0ms (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)))
31.8b	(sqrt.f64 (-.f64 (*.f64 x x) 1))

rewrite19.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64_760`
8×	`add-sqr-sqrt_binary64_782`
7×	`add-log-exp_binary64_799`
6×	`sqrt-prod_binary64_776`
5×	`add-cube-cbrt_binary64_795`
4×	`difference-of-squares_binary64_729` `pow1_binary64_821`
3×	`add-exp-log_binary64_798` `cancel-sign-sub-inv_binary64_726` `add-cbrt-cube_binary64_796`
2×	`sqrt-div_binary64_777` `difference-of-sqr-1_binary64_730` `flip--_binary64_735` `flip3--_binary64_764`
1×	`diff-log_binary64_852` `rem-sqrt-square_binary64_773` `distribute-lft-out_binary64_711` `flip3-+_binary64_763` `sqrt-pow1_binary64_778` `flip-+_binary64_734` `+-commutative_binary64_690` `sum-log_binary64_851` `pow1/2_binary64_840` `sub-neg_binary64_753`

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

series79.0ms (2.8%)

Counts

3 → 9

Calls

3 calls:

30.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
29.0ms	(-.f64 (*.f64 x x) 1)
20.0ms	(sqrt.f64 (-.f64 (*.f64 x x) 1))

simplify39.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5277	706

prune44.0ms (1.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	55	1	56
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	2	57

Merged error: 0b

Counts

57 → 2

Compiler

Compiled 769 to 501 computations (34.9% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 x 1))))
0.5b	(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 x 1)))

rewrite21.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64_782`
15×	`sqrt-prod_binary64_776`
12×	`sqrt-div_binary64_777`
11×	`*-un-lft-identity_binary64_760`
10×	`associate-r_binary64_700`
7×	`associate-l_binary64_701`
6×	`add-cube-cbrt_binary64_795` `pow1_binary64_821`
4×	`unswap-sqr_binary64_728` `flip3-+_binary64_763` `add-exp-log_binary64_798` `add-log-exp_binary64_799` `flip-+_binary64_734` `add-cbrt-cube_binary64_796` `frac-times_binary64_770`
3×	`pow-prod-down_binary64_831` `flip--_binary64_735` `flip3--_binary64_764`
2×	`associate-l/_binary64_703` `sqrt-pow1_binary64_778` `difference-of-squares_binary64_729` `associate-r/_binary64_702` `pow1/2_binary64_840`
1×	`distribute-lft-out_binary64_711` `prod-exp_binary64_809` `difference-of-sqr-1_binary64_730` `sqrt-unprod_binary64_780` `distribute-lft-out--_binary64_712` `+-commutative_binary64_690` `sum-log_binary64_851` `cbrt-unprod_binary64_793` `*-commutative_binary64_691`

Counts

2 → 54

Calls

2 calls:

14.0ms	(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 x 1)))
3.0ms	(+.f64 x (*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 x 1))))

series64.0ms (2.3%)

Counts

2 → 6

Calls

2 calls:

36.0ms	(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 x 1)))
28.0ms	(+.f64 x (*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 x 1))))

simplify67.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4955	1188
1	4955	1188

prune63.0ms (2.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	60	2	62

Merged error: 0b

Counts

62 → 2

Compiler

Compiled 1145 to 863 computations (24.6% saved)

regimes26.0ms (0.9%)

Compiler: Compiled 99 to 79 computations (20.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	19
1	23	19

end0.0ms (0%)

sample1.7s (59.4%)

Algorithm

1×

intervals

Results

618.0ms	4069×	body	2048	nan
346.0ms	8000×	body	128	valid
246.0ms	2014×	body	1024	nan
87.0ms	981×	body	512	nan
32.0ms	486×	body	256	nan
17.0ms	511×	body	128	nan
1.0ms	6×	body	4096	nan

Compiler

Compiled 43 to 36 computations (16.3% saved)

Details

analyze511.0ms (18%)

sample51.0ms (1.8%)

simplify146.0ms (5.2%)

prune2.0ms (0.1%)

localize7.0ms (0.2%)

rewrite19.0ms (0.7%)

series79.0ms (2.8%)

simplify39.0ms (1.4%)

prune44.0ms (1.6%)

localize9.0ms (0.3%)

rewrite21.0ms (0.7%)

series64.0ms (2.3%)

simplify67.0ms (2.4%)

prune63.0ms (2.2%)

regimes26.0ms (0.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.7s (59.4%)

Profiling