Details

analyze280.0ms (8.6%)

Algorithm

1×

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	57.7%	1.7%	9
45.2%	51.1%	3.7%	10
57.7%	33.5%	8.7%	11
59.7%	29.4%	10.9%	12
62%	25%	13%	13
68.3%	17.4%	14.4%	14

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample17.0ms (0.5%)

Algorithm

1×

intervals

Results

7.0ms	237×	body	128	valid
1.0ms	10×	body	512	valid
1.0ms	22×	body	128	invalid
0.0ms	3×	body	1024	valid
0.0ms	6×	body	256	valid

Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify97.0ms (3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	43	10
1	43	10

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))

rewrite10.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`*-un-lft-identity_binary64_3829`
5×	`associate-r_binary64_3769` `add-sqr-sqrt_binary64_3851`
3×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `add-cube-cbrt_binary64_3864` `pow1_binary64_3890` `distribute-lft-out_binary64_3780` `associate-l_binary64_3770`
2×	`associate-*r/_binary64_3771`
1×	`flip3-+_binary64_3832` `add-log-exp_binary64_3868` `pow-prod-down_binary64_3900` `unswap-sqr_binary64_3797` `flip-+_binary64_3803` `prod-exp_binary64_3878` `distribute-rgt-in_binary64_3779` `*-commutative_binary64_3760` `distribute-lft-in_binary64_3778` `cbrt-unprod_binary64_3862`

Counts

1 → 24

Calls

1 calls:

9.0ms

(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))

series37.0ms (1.1%)

Counts

1 → 9

Calls

1 calls:

37.0ms

(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))

simplify61.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5360	375

prune25.0ms (0.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	30	3	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	4	34

Merged error: 0.0b

Counts

34 → 4

Compiler

Compiled 402 to 213 computations (47% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (+.f64 d2 d3) (+.f64 d2 d3))
5.4b	(.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3))))
15.2b	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)))) (-.f64 3 (+.f64 d2 d3)))

rewrite38.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`*-un-lft-identity_binary64_3829`
20×	`add-sqr-sqrt_binary64_3851`
12×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `pow1_binary64_3890`
11×	`add-cube-cbrt_binary64_3864`
8×	`distribute-lft-out_binary64_3780` `associate-r_binary64_3769`
7×	`associate-l_binary64_3770`
6×	`flip3-+_binary64_3832` `times-frac_binary64_3835` `flip-+_binary64_3803` `swap-sqr_binary64_3796` `associate-r/_binary64_3771` `associate-/r_binary64_3773`
4×	`frac-times_binary64_3839` `distribute-lft-out--_binary64_3781`
3×	`add-log-exp_binary64_3868` `flip--_binary64_3804` `prod-exp_binary64_3878` `flip3--_binary64_3833` `distribute-rgt-in_binary64_3779` `difference-of-squares_binary64_3798` `distribute-lft-in_binary64_3778` `cbrt-unprod_binary64_3862`
2×	`pow-prod-down_binary64_3900` `cancel-sign-sub-inv_binary64_3795` `div-exp_binary64_3880` `unswap-sqr_binary64_3797` `associate-/l/_binary64_3776` `associate-/r/_binary64_3775` `associate-l/_binary64_3772` `cbrt-undiv_binary64_3863` `-commutative_binary64_3760` `sub-neg_binary64_3822`
1×	`div-inv_binary64_3826` `pow-prod-up_binary64_3899` `clear-num_binary64_3828` `pow-sqr_binary64_3802` `associate-/l*_binary64_3774` `frac-2neg_binary64_3840` `pow-plus_binary64_3892` `pow2_binary64_3910`

Counts

3 → 96

Calls

3 calls:

12.0ms	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)))) (-.f64 3 (+.f64 d2 d3)))
9.0ms	(*.f64 (+.f64 d2 d3) (+.f64 d2 d3))
6.0ms	(.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3))))

series311.0ms (9.5%)

Counts

3 → 24

Calls

3 calls:

191.0ms	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)))) (-.f64 3 (+.f64 d2 d3)))
107.0ms	(.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3))))
13.0ms	(*.f64 (+.f64 d2 d3) (+.f64 d2 d3))

simplify70.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4952	2144
1	4952	2144

prune113.0ms (3.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	121	3	124

Merged error: 0b

Counts

124 → 3

Compiler

Compiled 2597 to 1315 computations (49.4% saved)

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(pow.f64 (+.f64 d2 d3) 2)
0.2b	(/.f64 d1 (/.f64 (-.f64 3 (+.f64 d2 d3)) (-.f64 9 (pow.f64 (+.f64 d2 d3) 2))))
15.7b	(/.f64 (-.f64 3 (+.f64 d2 d3)) (-.f64 9 (pow.f64 (+.f64 d2 d3) 2)))

rewrite96.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Rules

405×	`*-un-lft-identity_binary64_3829`
404×	`add-sqr-sqrt_binary64_3851`
402×	`times-frac_binary64_3835`
165×	`difference-of-squares_binary64_3798`
136×	`add-cube-cbrt_binary64_3864`
113×	`distribute-lft-out--_binary64_3781`
62×	`associate-/r*_binary64_3773`
42×	`distribute-lft-out_binary64_3780`
35×	`unpow-prod-down_binary64_3908`
32×	`unpow2_binary64_3894` `sqr-pow_binary64_3801`
11×	`add-exp-log_binary64_3867` `associate-/r/_binary64_3775`
10×	`add-cbrt-cube_binary64_3865`
9×	`associate-/l*_binary64_3774`
6×	`div-inv_binary64_3826` `flip--_binary64_3804` `flip3--_binary64_3833`
4×	`div-exp_binary64_3880` `pow1_binary64_3890` `cbrt-undiv_binary64_3863`
3×	`add-log-exp_binary64_3868` `pow-unpow_binary64_3906`
2×	`associate-/l/_binary64_3776` `clear-num_binary64_3828` `frac-2neg_binary64_3840`
1×	`pow-exp_binary64_3897` `pow-pow_binary64_3901` `div-sub_binary64_3834` `pow-to-exp_binary64_3898`

Counts

3 → 332

Calls

3 calls:

24.0ms	(/.f64 d1 (/.f64 (-.f64 3 (+.f64 d2 d3)) (-.f64 9 (pow.f64 (+.f64 d2 d3) 2))))
16.0ms	(/.f64 (-.f64 3 (+.f64 d2 d3)) (-.f64 9 (pow.f64 (+.f64 d2 d3) 2)))
4.0ms	(pow.f64 (+.f64 d2 d3) 2)

series258.0ms (7.9%)

Counts

3 → 21

Calls

3 calls:

192.0ms	(/.f64 d1 (/.f64 (-.f64 3 (+.f64 d2 d3)) (-.f64 9 (pow.f64 (+.f64 d2 d3) 2))))
54.0ms	(/.f64 (-.f64 3 (+.f64 d2 d3)) (-.f64 9 (pow.f64 (+.f64 d2 d3) 2)))
12.0ms	(pow.f64 (+.f64 d2 d3) 2)

simplify133.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

353 → 353

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4955	11300
1	4955	11300

prune497.0ms (15.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	353	0	353
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	353	3	356

Merged error: 0b

Counts

356 → 3

Compiler

Compiled 9243 to 4928 computations (46.7% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 3 (+.f64 d2 d3)))
0.0b	(sqrt.f64 (+.f64 3 (+.f64 d2 d3)))
0.2b	(*.f64 d1 (sqrt.f64 (+.f64 3 (+.f64 d2 d3))))
0.3b	(.f64 (.f64 d1 (sqrt.f64 (+.f64 3 (+.f64 d2 d3)))) (sqrt.f64 (+.f64 3 (+.f64 d2 d3))))

rewrite44.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`*-un-lft-identity_binary64_3829`
21×	`sqrt-prod_binary64_3845`
18×	`sqrt-div_binary64_3846`
17×	`add-sqr-sqrt_binary64_3851`
16×	`associate-r_binary64_3769`
13×	`pow1_binary64_3890`
12×	`distribute-lft-out_binary64_3780`
11×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `add-cube-cbrt_binary64_3864`
10×	`associate-*r/_binary64_3771`
9×	`flip3-+_binary64_3832` `flip-+_binary64_3803`
4×	`add-log-exp_binary64_3868` `pow-prod-down_binary64_3900` `prod-exp_binary64_3878` `frac-times_binary64_3839` `cbrt-unprod_binary64_3862` `associate-l_binary64_3770`
2×	`unswap-sqr_binary64_3797` `rem-sqrt-square_binary64_3842` `associate-l/_binary64_3772` `pow1/2_binary64_3909` `-commutative_binary64_3760` `sqrt-pow1_binary64_3847`

Counts

4 → 91

Calls

4 calls:

16.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 3 (+.f64 d2 d3)))) (sqrt.f64 (+.f64 3 (+.f64 d2 d3))))
10.0ms	(*.f64 d1 (sqrt.f64 (+.f64 3 (+.f64 d2 d3))))
5.0ms	(sqrt.f64 (+.f64 3 (+.f64 d2 d3)))
5.0ms	(sqrt.f64 (+.f64 3 (+.f64 d2 d3)))

series154.0ms (4.7%)

Counts

4 → 30

Calls

4 calls:

71.0ms	(*.f64 d1 (sqrt.f64 (+.f64 3 (+.f64 d2 d3))))
43.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 3 (+.f64 d2 d3)))) (sqrt.f64 (+.f64 3 (+.f64 d2 d3))))
20.0ms	(sqrt.f64 (+.f64 3 (+.f64 d2 d3)))
20.0ms	(sqrt.f64 (+.f64 3 (+.f64 d2 d3)))

simplify61.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5185	2075

prune110.0ms (3.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	121	3	124

Merged error: 0b

Counts

124 → 3

Compiler

Compiled 2416 to 1349 computations (44.2% saved)

regimes98.0ms (3%)

Compiler: Compiled 840 to 668 computations (20.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	10
1	11	10

end0.0ms (0%)

sample719.0ms (22%)

Algorithm

1×

intervals

Results

230.0ms	7532×	body	128	valid
21.0ms	189×	body	512	valid
20.0ms	667×	body	128	invalid
18.0ms	152×	body	1024	valid
7.0ms	127×	body	256	valid

Compiler

Compiled 229 to 185 computations (19.2% saved)

Details

analyze280.0ms (8.6%)

sample17.0ms (0.5%)

simplify97.0ms (3%)

prune3.0ms (0.1%)

localize5.0ms (0.1%)

rewrite10.0ms (0.3%)

series37.0ms (1.1%)

simplify61.0ms (1.9%)

prune25.0ms (0.8%)

localize8.0ms (0.3%)

rewrite38.0ms (1.2%)

series311.0ms (9.5%)

simplify70.0ms (2.2%)

prune113.0ms (3.5%)

localize11.0ms (0.3%)

rewrite96.0ms (2.9%)

series258.0ms (7.9%)

simplify133.0ms (4.1%)

prune497.0ms (15.2%)

localize7.0ms (0.2%)

rewrite44.0ms (1.4%)

series154.0ms (4.7%)

simplify61.0ms (1.9%)

prune110.0ms (3.4%)

regimes98.0ms (3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample719.0ms (22%)

Profiling