Details

analyze165.0ms (11.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	14
1	76	14
0	2	2
1	2	2

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)

sample14.0ms (1%)

Algorithm

1×

intervals

Results

7.0ms	251×	body	128	valid
0.0ms	3×	body	1024	valid
0.0ms	1×	body	512	valid
0.0ms	2×	body	128	invalid
0.0ms	1×	body	256	valid

Compiler

Compiled 23 to 21 computations (8.7% saved)

simplify8.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	42	7
1	42	7

prune7.0ms (0.5%)

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 (0.5%)

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:

6.0ms

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

series23.0ms (1.6%)

Counts

1 → 3

Calls

1 calls:

23.0ms

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

simplify62.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5135	233

prune21.0ms (1.5%)

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)

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 d1 (sqrt.f64 (+.f64 d2 30)))
0.3b	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 30))) (sqrt.f64 (+.f64 d2 30)))

rewrite27.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`sqrt-div_binary64_3846` `associate-r_binary64_3769`
11×	`*-un-lft-identity_binary64_3829` `add-sqr-sqrt_binary64_3851`
10×	`associate-*r/_binary64_3771`
9×	`add-exp-log_binary64_3867` `sqrt-prod_binary64_3845` `add-cbrt-cube_binary64_3865` `pow1_binary64_3890`
7×	`flip3-+_binary64_3832` `flip-+_binary64_3803` `add-cube-cbrt_binary64_3864`
4×	`pow-prod-down_binary64_3900` `prod-exp_binary64_3878` `frac-times_binary64_3839` `cbrt-unprod_binary64_3862` `associate-l_binary64_3770`
2×	`add-log-exp_binary64_3868` `unswap-sqr_binary64_3797` `associate-l/_binary64_3772` `distribute-lft-out_binary64_3780` `-commutative_binary64_3760`

Counts

2 → 55

Calls

2 calls:

15.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 30))) (sqrt.f64 (+.f64 d2 30)))
7.0ms	(*.f64 d1 (sqrt.f64 (+.f64 d2 30)))

series71.0ms (5%)

Counts

2 → 6

Calls

2 calls:

43.0ms	(*.f64 d1 (sqrt.f64 (+.f64 d2 30)))
27.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 30))) (sqrt.f64 (+.f64 d2 30)))

simplify47.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5257	891

prune54.0ms (3.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	61	3	64

Error

Counts

64 → 3

Compiler

Compiled 964 to 704 computations (27% saved)

localize7.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (*.f64 d2 d2) 900)
3.6b	(.f64 d1 (-.f64 (.f64 d2 d2) 900))
9.4b	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) 900)) (-.f64 d2 30))

rewrite31.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64_3851`
14×	`*-un-lft-identity_binary64_3829`
10×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `add-cube-cbrt_binary64_3864`
9×	`cancel-sign-sub-inv_binary64_3795`
5×	`add-log-exp_binary64_3868` `times-frac_binary64_3835` `pow1_binary64_3890` `associate-/r*_binary64_3773`
4×	`flip--_binary64_3804` `flip3--_binary64_3833` `distribute-rgt-in_binary64_3779` `difference-of-squares_binary64_3798` `associate-r/_binary64_3771` `distribute-lft-in_binary64_3778` `associate-r*_binary64_3769`
3×	`associate-l_binary64_3770` `sub-neg_binary64_3822`
2×	`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`
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` `diff-log_binary64_3921`

Counts

3 → 73

Calls

3 calls:

11.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) 900)) (-.f64 d2 30))
8.0ms	(.f64 d1 (-.f64 (.f64 d2 d2) 900))
4.0ms	(-.f64 (*.f64 d2 d2) 900)

series137.0ms (9.6%)

Counts

3 → 9

Calls

3 calls:

71.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) 900)) (-.f64 d2 30))
41.0ms	(.f64 d1 (-.f64 (.f64 d2 d2) 900))
24.0ms	(-.f64 (*.f64 d2 d2) 900)

simplify60.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	6165	1072

prune61.0ms (4.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	82	3	85

Error

Counts

85 → 3

Compiler

Compiled 1228 to 729 computations (40.6% saved)

regimes55.0ms (3.8%)

Accuracy

Total 0.0b remaining (94.3%)

Threshold costs 0.0b (94.3%)

Compiler

Compiled 350 to 308 computations (12% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	7
1	8	7

end0.0ms (0%)

sample555.0ms (39%)

Algorithm

1×

intervals

Results

228.0ms	7878×	body	128	valid
7.0ms	72×	body	1024	valid
3.0ms	38×	body	512	valid
2.0ms	89×	body	128	invalid
1.0ms	12×	body	256	valid

Compiler

Compiled 130 to 116 computations (10.8% saved)

Details

analyze165.0ms (11.6%)

sample14.0ms (1%)

simplify8.0ms (0.5%)

prune7.0ms (0.5%)

localize3.0ms (0.2%)

rewrite8.0ms (0.5%)

series23.0ms (1.6%)

simplify62.0ms (4.3%)

prune21.0ms (1.5%)

localize5.0ms (0.4%)

rewrite27.0ms (1.9%)

series71.0ms (5%)

simplify47.0ms (3.3%)

prune54.0ms (3.8%)

localize7.0ms (0.5%)

rewrite31.0ms (2.2%)

series137.0ms (9.6%)

simplify60.0ms (4.2%)

prune61.0ms (4.3%)

regimes55.0ms (3.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample555.0ms (39%)

Profiling