Details

analyze12.0ms (0.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample217.0ms (7.9%)

Algorithm

1×

intervals

Results

206.0ms

256×

body

128

valid

Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify130.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	466	17
1	466	17

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 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
0.0b	(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
0.0b	(/.f64 (-.f64 1 x) (+.f64 1 x))

rewrite169.0ms (6.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

79×	`*-un-lft-identity_binary64`
56×	`add-sqr-sqrt_binary64`
49×	`times-frac_binary64`
30×	`sqrt-prod_binary64`
26×	`add-cube-cbrt_binary64`
18×	`difference-of-squares_binary64`
13×	`distribute-lft-out_binary64`
9×	`distribute-lft-out--_binary64`
6×	`associate-/l*_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`pow1_binary64` `associate-/r/_binary64` `associate-/r*_binary64`
3×	`add-log-exp_binary64`
2×	`div-inv_binary64` `associate-/l/_binary64` `flip3-+_binary64` `flip-+_binary64` `rem-sqrt-square_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `flip3--_binary64` `flip--_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `sqrt-div_binary64`

Counts

3 → 100

Calls

3 calls:

11.0ms	(/.f64 (-.f64 1 x) (+.f64 1 x))
10.0ms	(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
7.0ms	(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))

Compiler

Compiled 2038 to 1659 computations (18.6% saved)

series88.0ms (3.2%)

Error

0.0b

Counts

3 → 17

Calls

3 calls:

33.0ms	(/.f64 (-.f64 1 x) (+.f64 1 x))
23.0ms	(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
18.0ms	(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))

Compiler

Compiled 425 to 398 computations (6.4% saved)

simplify75.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	6419	2047

prune134.0ms (4.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	116	2	118

Error

Counts

118 → 2

Compiler

Compiled 2028 to 1635 computations (19.4% saved)

localize15.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(cbrt.f64 (-.f64 1 x))
0.0b	(cbrt.f64 (+.f64 1 x))
0.0b	(cbrt.f64 (+.f64 1 x))
0.0b	(cbrt.f64 (+.f64 1 x))

rewrite136.0ms (4.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

18×	`cbrt-prod_binary64`
17×	`*-un-lft-identity_binary64`
11×	`add-sqr-sqrt_binary64`
8×	`add-cube-cbrt_binary64` `cbrt-div_binary64`
4×	`pow1/3_binary64` `pow1_binary64` `add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64`
2×	`difference-of-squares_binary64`
1×	`flip3--_binary64` `flip--_binary64` `distribute-lft-out--_binary64`

Counts

4 → 58

Calls

4 calls:

3.0ms	(cbrt.f64 (-.f64 1 x))
3.0ms	(cbrt.f64 (+.f64 1 x))
3.0ms	(cbrt.f64 (+.f64 1 x))
3.0ms	(cbrt.f64 (+.f64 1 x))

Compiler

Compiled 2294 to 1883 computations (17.9% saved)

series221.0ms (8%)

Error

Counts

4 → 24

Calls

4 calls:

70.0ms	(cbrt.f64 (+.f64 1 x))
38.0ms	(cbrt.f64 (+.f64 1 x))
38.0ms	(cbrt.f64 (+.f64 1 x))
33.0ms	(cbrt.f64 (-.f64 1 x))

Compiler

Compiled 2158 to 1827 computations (15.3% saved)

simplify90.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	5517	828

prune165.0ms (6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	82	2	84

Error

Counts

84 → 2

Compiler

Compiled 3034 to 2470 computations (18.6% saved)

regimes225.0ms (8.1%)

Accuracy

Total 0.0b remaining (89.5%)

Threshold costs 0.0b (89.5%)

Compiler

Compiled 2453 to 2169 computations (11.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	20
1	23	20

end0.0ms (0%)

sample1.1s (38.8%)

Algorithm

1×

intervals

Results

374.0ms

8000×

body

128

valid

Compiler

Compiled 460 to 406 computations (11.7% saved)

Details

analyze12.0ms (0.4%)

sample217.0ms (7.9%)

simplify130.0ms (4.7%)

prune4.0ms (0.2%)

localize9.0ms (0.3%)

rewrite169.0ms (6.1%)

series88.0ms (3.2%)

simplify75.0ms (2.7%)

prune134.0ms (4.9%)

localize15.0ms (0.5%)

rewrite136.0ms (4.9%)

series221.0ms (8%)

simplify90.0ms (3.3%)

prune165.0ms (6%)

regimes225.0ms (8.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.1s (38.8%)

Profiling