Details

analyze69.0ms (3%)

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)

sample16.0ms (0.7%)

Algorithm

1×

intervals

Results

8.0ms	253×	body	128	valid
0.0ms	3×	body	1024	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 23 to 21 computations (8.7% saved)

simplify99.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	42	7
1	42	7

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite8.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806`
4×	`associate-r_binary64_2746`
3×	`associate-l_binary64_2747` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `add-cube-cbrt_binary64_2841` `pow1_binary64_2867`
2×	`associate-*r/_binary64_2748`
1×	`distribute-lft-out_binary64_2757` `*-commutative_binary64_2737` `distribute-lft-in_binary64_2755` `distribute-rgt-in_binary64_2756` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `flip-+_binary64_2780` `add-log-exp_binary64_2845` `flip3-+_binary64_2809` `pow-prod-down_binary64_2877` `unswap-sqr_binary64_2774`

Counts

1 → 23

Calls

2 calls:

7.0ms	(*.f64 d1 (+.f64 d2 30))
0.0ms	(*.f64 d1 (+.f64 d2 30))

series55.0ms (2.4%)

Counts

1 → 9

Calls

1 calls:

55.0ms

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

Compiler

Compiled 81 to 76 computations (6.2% saved)

simplify59.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5135	266

prune28.0ms (1.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	30	2	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	3	33

Error

Counts

33 → 3

Compiler

Compiled 289 to 194 computations (32.9% saved)

localize6.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.3b	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 30))) (sqrt.f64 (+.f64 d2 30)))
0.1b	(*.f64 d1 (sqrt.f64 (+.f64 d2 30)))
0.0b	(sqrt.f64 (+.f64 d2 30))
0.0b	(sqrt.f64 (+.f64 d2 30))
0.0b	(sqrt.f64 (+.f64 d2 30))
0.0b	(sqrt.f64 (+.f64 d2 30))
0.1b	(*.f64 d1 (sqrt.f64 (+.f64 d2 30)))
0.3b	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 30))) (sqrt.f64 (+.f64 d2 30)))

rewrite35.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64_2806`
18×	`sqrt-div_binary64_2823`
17×	`add-sqr-sqrt_binary64_2828` `sqrt-prod_binary64_2822`
14×	`associate-r_binary64_2746`
13×	`pow1_binary64_2867`
11×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `add-cube-cbrt_binary64_2841`
10×	`associate-*r/_binary64_2748`
9×	`flip-+_binary64_2780` `flip3-+_binary64_2809`
4×	`frac-times_binary64_2816` `associate-l_binary64_2747` `distribute-lft-out_binary64_2757` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `add-log-exp_binary64_2845` `pow-prod-down_binary64_2877`
2×	`pow1/2_binary64_2886` `-commutative_binary64_2737` `sqrt-pow1_binary64_2824` `rem-sqrt-square_binary64_2819` `associate-l/_binary64_2749` `unswap-sqr_binary64_2774`

Counts

4 → 87

Calls

8 calls:

13.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 30))) (sqrt.f64 (+.f64 d2 30)))
8.0ms	(*.f64 d1 (sqrt.f64 (+.f64 d2 30)))
4.0ms	(sqrt.f64 (+.f64 d2 30))
3.0ms	(sqrt.f64 (+.f64 d2 30))
0.0ms	(sqrt.f64 (+.f64 d2 30))

series188.0ms (8.1%)

Counts

4 → 30

Calls

4 calls:

74.0ms	(*.f64 d1 (sqrt.f64 (+.f64 d2 30)))
60.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 30))) (sqrt.f64 (+.f64 d2 30)))
27.0ms	(sqrt.f64 (+.f64 d2 30))
25.0ms	(sqrt.f64 (+.f64 d2 30))

Compiler

Compiled 605 to 540 computations (10.7% saved)

simplify67.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4943	1388
1	4943	1388

prune98.0ms (4.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	117	3	120

Error

Counts

120 → 3

Compiler

Compiled 1709 to 1274 computations (25.5% saved)

localize12.0ms (0.5%)

Local error

Found 8 expressions with local error:

15.8b	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (.f64 d2 30))))
3.3b	(*.f64 d1 (+.f64 (pow.f64 d2 3) 27000))
0.0b	(+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (*.f64 d2 30)))
0.0b	(-.f64 (.f64 30 30) (.f64 d2 30))
0.0b	(-.f64 (.f64 30 30) (.f64 d2 30))
0.0b	(+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (*.f64 d2 30)))
3.3b	(*.f64 d1 (+.f64 (pow.f64 d2 3) 27000))
15.8b	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (.f64 d2 30))))

rewrite44.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `add-log-exp_binary64_2845`
10×	`add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806`
8×	`add-cube-cbrt_binary64_2841`
6×	`pow1_binary64_2867`
4×	`flip-+_binary64_2780` `flip3-+_binary64_2809` `associate-r_binary64_2746` `associate-*r/_binary64_2748`
3×	`associate-l_binary64_2747` `times-frac_binary64_2812` `associate-/r*_binary64_2750`
2×	`associate-/l/_binary64_2753` `cancel-sign-sub-inv_binary64_2772` `div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `associate-+r+_binary64_2738` `diff-log_binary64_2898` `prod-exp_binary64_2855` `sub-neg_binary64_2799` `cbrt-unprod_binary64_2839` `sum-log_binary64_2897` `associate-/r/_binary64_2752`
1×	`distribute-rgt-out--_binary64_2760` `div-inv_binary64_2803` `distribute-lft-out_binary64_2757` `-commutative_binary64_2737` `flip3--_binary64_2810` `distribute-lft-in_binary64_2755` `distribute-rgt-in_binary64_2756` `associate-+r-_binary64_2740` `flip--_binary64_2781` `clear-num_binary64_2805` `associate-/l_binary64_2751` `pow-prod-down_binary64_2877` `unswap-sqr_binary64_2774` `frac-2neg_binary64_2817` `+-commutative_binary64_2736`

Counts

4 → 76

Calls

8 calls:

16.0ms	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (.f64 d2 30))))
10.0ms	(*.f64 d1 (+.f64 (pow.f64 d2 3) 27000))
7.0ms	(+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (*.f64 d2 30)))
4.0ms	(-.f64 (.f64 30 30) (.f64 d2 30))
0.0ms	(-.f64 (.f64 30 30) (.f64 d2 30))

series441.0ms (19.1%)

Counts

4 → 33

Calls

4 calls:

229.0ms	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (.f64 d2 30))))
117.0ms	(*.f64 d1 (+.f64 (pow.f64 d2 3) 27000))
64.0ms	(+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (*.f64 d2 30)))
31.0ms	(-.f64 (.f64 30 30) (.f64 d2 30))

Compiler

Compiled 763 to 651 computations (14.7% saved)

simplify81.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4922	1557
1	4922	1557

prune117.0ms (5.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	109	3	112

Error

Counts

112 → 3

Compiler

Compiled 2237 to 1602 computations (28.4% saved)

simplify26.0ms (1.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	747	185
1	747	185

regimes46.0ms (2%)

Compiler: Compiled 258 to 238 computations (7.8% saved)

bsearch0.0ms (0%)

regimes74.0ms (3.2%)

Compiler: Compiled 22 to 40 computations (-81.8% saved)

bsearch26.0ms (1.1%)

Steps

Iters	Range		Point
9	0.023951678011460076	231641.11253109007	29.70839625581142
8	-621.3516607826381	-0.0572461978526713	-30.417853254307435

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes19.0ms (0.8%)

Compiler: Compiled 16 to 32 computations (-100% saved)

bsearch0.0ms (0%)

regimes16.0ms (0.7%)

Accuracy

Total 0.0b remaining (94.5%)

Threshold costs 0.0b (94.5%)

Compiler

Compiled 10 to 26 computations (-160% saved)

bsearch5.0ms (0.2%)

Compiler: Compiled 26 to 22 computations (15.4% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	34
1	24	34

end0.0ms (0%)

sample660.0ms (28.6%)

Algorithm

1×

intervals

Results

250.0ms	7846×	body	128	valid
10.0ms	87×	body	1024	valid
4.0ms	43×	body	512	valid
3.0ms	86×	body	128	invalid
1.0ms	24×	body	256	valid

Compiler

Compiled 168 to 155 computations (7.7% saved)

Pareto

0.3767629733872736

Details

analyze69.0ms (3%)

sample16.0ms (0.7%)

simplify99.0ms (4.3%)

prune3.0ms (0.1%)

localize4.0ms (0.2%)

rewrite8.0ms (0.4%)

series55.0ms (2.4%)

simplify59.0ms (2.6%)

prune28.0ms (1.2%)

localize6.0ms (0.3%)

rewrite35.0ms (1.5%)

series188.0ms (8.1%)

simplify67.0ms (2.9%)

prune98.0ms (4.3%)

localize12.0ms (0.5%)

rewrite44.0ms (1.9%)

series441.0ms (19.1%)

simplify81.0ms (3.5%)

prune117.0ms (5.1%)

simplify26.0ms (1.1%)

regimes46.0ms (2%)

bsearch0.0ms (0%)

regimes74.0ms (3.2%)

bsearch26.0ms (1.1%)

regimes19.0ms (0.8%)

bsearch0.0ms (0%)

regimes16.0ms (0.7%)

bsearch5.0ms (0.2%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample660.0ms (28.6%)

Profiling