Details

analyze66.0ms (4.6%)

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
25%	74.9%	0.1%	5
50%	50%	0.1%	6
56.2%	40.6%	3.2%	7
68.7%	25%	6.3%	8
71.8%	19.5%	8.7%	9
78%	12.5%	9.5%	10
79.6%	9.6%	10.8%	11
82.7%	6.2%	11%	12
83.5%	4.7%	11.8%	13
85.1%	3.1%	11.8%	14

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample18.0ms (1.3%)

Algorithm

1×

intervals

Results

7.0ms	252×	body	128	valid
4.0ms	3×	body	1024	valid
0.0ms	3×	body	128	invalid
0.0ms	1×	body	256	valid

Compiler

Compiled 23 to 21 computations (8.7% saved)

simplify98.0ms (6.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	42	7
1	42	7

prune4.0ms (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 → 2

Compiler

Compiled 21 to 19 computations (9.5% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d2 30))

rewrite8.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`*-un-lft-identity_binary64_3829` `add-sqr-sqrt_binary64_3851`
4×	`associate-r_binary64_3769`
3×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `add-cube-cbrt_binary64_3864` `pow1_binary64_3890` `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` `distribute-lft-out_binary64_3780` `*-commutative_binary64_3760` `distribute-lft-in_binary64_3778` `cbrt-unprod_binary64_3862`

Counts

1 → 23

Calls

1 calls:

7.0ms

(*.f64 d1 (+.f64 d2 30))

series25.0ms (1.7%)

Counts

1 → 3

Calls

1 calls:

25.0ms

(*.f64 d1 (+.f64 d2 30))

simplify60.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5135	233

prune23.0ms (1.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	24	2	26
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	25	3	28

Error

Counts

28 → 3

Compiler

Compiled 257 to 176 computations (31.5% saved)

localize6.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 d2 30))
0.0b	(sqrt.f64 (+.f64 d2 30))
0.1b	(*.f64 d1 (sqrt.f64 (+.f64 d2 30)))
0.2b	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 30))) (sqrt.f64 (+.f64 d2 30)))

rewrite31.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64_3829`
18×	`sqrt-div_binary64_3846`
17×	`sqrt-prod_binary64_3845` `add-sqr-sqrt_binary64_3851`
14×	`associate-r_binary64_3769`
13×	`pow1_binary64_3890`
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` `distribute-lft-out_binary64_3780` `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 → 87

Calls

4 calls:

12.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 30))) (sqrt.f64 (+.f64 d2 30)))
7.0ms	(*.f64 d1 (sqrt.f64 (+.f64 d2 30)))
3.0ms	(sqrt.f64 (+.f64 d2 30))
3.0ms	(sqrt.f64 (+.f64 d2 30))

series101.0ms (7%)

Counts

4 → 12

Calls

4 calls:

43.0ms	(*.f64 d1 (sqrt.f64 (+.f64 d2 30)))
26.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 30))) (sqrt.f64 (+.f64 d2 30)))
16.0ms	(sqrt.f64 (+.f64 d2 30))
16.0ms	(sqrt.f64 (+.f64 d2 30))

simplify69.0ms (4.8%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4945	1459
1	4945	1459

prune89.0ms (6.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	99	3	102

Error

Counts

102 → 3

Compiler

Compiled 1665 to 1221 computations (26.7% saved)

localize7.0ms (0.5%)

Local error

Found 2 expressions with local error:

5.4b	(.f64 d1 (-.f64 (.f64 d2 d2) 900))
8.6b	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) 900)) (-.f64 d2 30))

rewrite22.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_3851`
12×	`*-un-lft-identity_binary64_3829`
9×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865`
8×	`add-cube-cbrt_binary64_3864`
6×	`cancel-sign-sub-inv_binary64_3795`
5×	`times-frac_binary64_3835` `associate-/r*_binary64_3773`
4×	`distribute-rgt-in_binary64_3779` `pow1_binary64_3890` `associate-r/_binary64_3771` `distribute-lft-in_binary64_3778` `associate-r*_binary64_3769`
3×	`flip--_binary64_3804` `flip3--_binary64_3833` `difference-of-squares_binary64_3798` `associate-l_binary64_3770`
2×	`add-log-exp_binary64_3868` `div-exp_binary64_3880` `associate-/l/_binary64_3776` `prod-exp_binary64_3878` `associate-/r/_binary64_3775` `distribute-lft-out--_binary64_3781` `cbrt-undiv_binary64_3863` `cbrt-unprod_binary64_3862` `sub-neg_binary64_3822`
1×	`pow-prod-down_binary64_3900` `div-inv_binary64_3826` `unswap-sqr_binary64_3797` `clear-num_binary64_3828` `-commutative_binary64_3760` `associate-/l_binary64_3774` `frac-2neg_binary64_3840`

Counts

2 → 58

Calls

2 calls:

11.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) 900)) (-.f64 d2 30))
7.0ms	(.f64 d1 (-.f64 (.f64 d2 d2) 900))

series111.0ms (7.7%)

Counts

2 → 6

Calls

2 calls:

67.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) 900)) (-.f64 d2 30))
43.0ms	(.f64 d1 (-.f64 (.f64 d2 d2) 900))

simplify58.0ms (4%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	6145	918

prune50.0ms (3.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	64	3	67

Error

Counts

67 → 3

Compiler

Compiled 974 to 576 computations (40.9% saved)

regimes47.0ms (3.3%)

Accuracy

Total 0.0b remaining (94.2%)

Threshold costs 0.0b (94.2%)

Compiler

Compiled 299 to 260 computations (13% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	7
1	8	7

end0.0ms (0%)

sample546.0ms (37.8%)

Algorithm

1×

intervals

Results

228.0ms	7875×	body	128	valid
7.0ms	73×	body	1024	valid
2.0ms	86×	body	128	invalid
2.0ms	29×	body	512	valid
1.0ms	23×	body	256	valid

Compiler

Compiled 113 to 100 computations (11.5% saved)

Details

analyze66.0ms (4.6%)

sample18.0ms (1.3%)

simplify98.0ms (6.8%)

prune4.0ms (0.2%)

localize3.0ms (0.2%)

rewrite8.0ms (0.6%)

series25.0ms (1.7%)

simplify60.0ms (4.1%)

prune23.0ms (1.6%)

localize6.0ms (0.4%)

rewrite31.0ms (2.2%)

series101.0ms (7%)

simplify69.0ms (4.8%)

prune89.0ms (6.2%)

localize7.0ms (0.5%)

rewrite22.0ms (1.5%)

series111.0ms (7.7%)

simplify58.0ms (4%)

prune50.0ms (3.4%)

regimes47.0ms (3.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample546.0ms (37.8%)

Profiling