Details

analyze249.0ms (7.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	7	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
25%	74.9%	0.1%	4
43.7%	56.2%	0.1%	5
65.6%	34.3%	0.1%	6
76.5%	23.4%	0.1%	7
82%	18%	0.1%	8
87.8%	12.1%	0.1%	9
90.7%	9.2%	0.1%	10
93.8%	6.1%	0.1%	11
95.3%	4.6%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample19.0ms (0.6%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 11 to 11 computations (0% saved)

simplify21.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	6	7
1	6	7

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 10 to 8 computations (20% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 x (+.f64 y x))

rewrite11.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64_8262`
12×	`times-frac_binary64_8268`
10×	`add-sqr-sqrt_binary64_8284` `add-cube-cbrt_binary64_8297`
4×	`distribute-lft-out_binary64_8213` `associate-/r*_binary64_8206`
3×	`associate-/l*_binary64_8207` `add-exp-log_binary64_8300` `add-cbrt-cube_binary64_8298`
2×	`associate-/r/_binary64_8208`
1×	`flip-+_binary64_8236` `flip3-+_binary64_8265` `pow1_binary64_8323` `frac-2neg_binary64_8273` `div-inv_binary64_8259` `add-log-exp_binary64_8301` `clear-num_binary64_8261` `cbrt-undiv_binary64_8296` `div-exp_binary64_8313`

Counts

1 → 33

Calls

1 calls:

8.0ms

(/.f64 x (+.f64 y x))

series135.0ms (4.3%)

Counts

1 → 24

Calls

1 calls:

135.0ms

(/.f64 x (+.f64 y x))

Compiler

Compiled 300 to 252 computations (16% saved)

simplify172.0ms (5.4%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (129.0ms)

Iter	Nodes	Cost
0	4946	794
1	4946	794

prune58.0ms (1.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	55	2	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	3	58

Error

Counts

58 → 3

Compiler

Compiled 636 to 206 computations (67.6% saved)

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 x y) x)
0.3b	(/.f64 1 (/.f64 (+.f64 x y) x))

rewrite36.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

108×	`times-frac_binary64_8268`
92×	`*-un-lft-identity_binary64_8262`
60×	`add-sqr-sqrt_binary64_8284` `add-cube-cbrt_binary64_8297`
19×	`associate-/r*_binary64_8206`
16×	`distribute-lft-out_binary64_8213`
15×	`add-exp-log_binary64_8300`
9×	`add-cbrt-cube_binary64_8298`
8×	`div-exp_binary64_8313`
7×	`associate-/l*_binary64_8207`
6×	`div-inv_binary64_8259`
4×	`cbrt-undiv_binary64_8296`
3×	`pow1_binary64_8323`
2×	`frac-2neg_binary64_8273` `1-exp_binary64_8306` `associate-/l/_binary64_8209` `rec-exp_binary64_8312` `add-log-exp_binary64_8301` `clear-num_binary64_8261`
1×	`flip-+_binary64_8236` `flip3-+_binary64_8265` `inv-pow_binary64_8347` `pow-flip_binary64_8336` `associate-/r/_binary64_8208`

Counts

2 → 121

Calls

2 calls:

12.0ms	(/.f64 1 (/.f64 (+.f64 x y) x))
8.0ms	(/.f64 (+.f64 x y) x)

series257.0ms (8.1%)

Counts

2 → 36

Calls

2 calls:

129.0ms	(/.f64 1 (/.f64 (+.f64 x y) x))
128.0ms	(/.f64 (+.f64 x y) x)

Compiler

Compiled 408 to 366 computations (10.3% saved)

simplify163.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	5036	2365

prune152.0ms (4.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	157	0	157
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	157	3	160

Error

Counts

160 → 3

Compiler

Compiled 1967 to 625 computations (68.2% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 x y))
0.1b	(/.f64 1 (sqrt.f64 (+.f64 x y)))
0.1b	(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x y))) (/.f64 x (sqrt.f64 (+.f64 x y))))
0.2b	(/.f64 x (sqrt.f64 (+.f64 x y)))

rewrite108.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Rules

112×	`add-sqr-sqrt_binary64_8284`
106×	`times-frac_binary64_8268`
101×	`*-un-lft-identity_binary64_8262`
71×	`sqrt-prod_binary64_8278`
65×	`add-cube-cbrt_binary64_8297`
32×	`add-exp-log_binary64_8300`
27×	`associate-l_binary64_8203` `associate-r_binary64_8202`
20×	`add-cbrt-cube_binary64_8298`
15×	`distribute-lft-out_binary64_8213` `unswap-sqr_binary64_8230`
14×	`associate-/r*_binary64_8206`
11×	`div-exp_binary64_8313`
10×	`sqrt-div_binary64_8279`
9×	`pow1_binary64_8323`
8×	`prod-exp_binary64_8311` `associate-/r/_binary64_8208`
6×	`associate-/l*_binary64_8207` `cbrt-undiv_binary64_8296`
5×	`flip-+_binary64_8236` `flip3-+_binary64_8265`
4×	`div-inv_binary64_8259` `cbrt-unprod_binary64_8295` `add-log-exp_binary64_8301`
3×	`1-exp_binary64_8306` `pow-flip_binary64_8336` `rec-exp_binary64_8312`
2×	`frac-2neg_binary64_8273` `sqrt-pow1_binary64_8280` `pow1/2_binary64_8342` `clear-num_binary64_8261`
1×	`associate-r/_binary64_8204` `inv-pow_binary64_8347` `frac-times_binary64_8272` `pow-prod-down_binary64_8333` `associate-l/_binary64_8205` `rem-sqrt-square_binary64_8275` `*-commutative_binary64_8193`

Counts

4 → 205

Calls

4 calls:

47.0ms	(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x y))) (/.f64 x (sqrt.f64 (+.f64 x y))))
10.0ms	(/.f64 1 (sqrt.f64 (+.f64 x y)))
10.0ms	(/.f64 x (sqrt.f64 (+.f64 x y)))
5.0ms	(sqrt.f64 (+.f64 x y))

series413.0ms (13%)

Counts

4 → 49

Calls

4 calls:

140.0ms	(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x y))) (/.f64 x (sqrt.f64 (+.f64 x y))))
108.0ms	(/.f64 x (sqrt.f64 (+.f64 x y)))
92.0ms	(/.f64 1 (sqrt.f64 (+.f64 x y)))
73.0ms	(sqrt.f64 (+.f64 x y))

Compiler

Compiled 1170 to 951 computations (18.7% saved)

simplify208.0ms (6.6%)

Algorithm

1×	egg-herbie

Counts

254 → 254

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	5023	3841

prune289.0ms (9.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	254	0	254
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	254	3	257

Error

Counts

257 → 3

Compiler

Compiled 4338 to 1212 computations (72.1% saved)

regimes83.0ms (2.6%)

Accuracy

Total 0.0b remaining (73.5%)

Threshold costs 0.0b (73.5%)

Compiler

Compiled 203 to 175 computations (13.8% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	6	7

end0.0ms (0%)

sample761.0ms (24%)

Algorithm

1×

intervals

Results

326.0ms

8000×

body

128

valid

Compiler

Compiled 74 to 64 computations (13.5% saved)

Details

analyze249.0ms (7.8%)

sample19.0ms (0.6%)

simplify21.0ms (0.7%)

prune3.0ms (0.1%)

localize6.0ms (0.2%)

rewrite11.0ms (0.4%)

series135.0ms (4.3%)

simplify172.0ms (5.4%)

prune58.0ms (1.8%)

localize10.0ms (0.3%)

rewrite36.0ms (1.1%)

series257.0ms (8.1%)

simplify163.0ms (5.1%)

prune152.0ms (4.8%)

localize12.0ms (0.4%)

rewrite108.0ms (3.4%)

series413.0ms (13%)

simplify208.0ms (6.6%)

prune289.0ms (9.1%)

regimes83.0ms (2.6%)

bsearch0.0ms (0%)

simplify5.0ms (0.2%)

end0.0ms (0%)

sample761.0ms (24%)

Profiling