Details

analyze49.0ms (5.7%)

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
37.5%	62.4%	0.1%	5
43.7%	56.2%	0.1%	6
43.7%	34.3%	22%	7
46.8%	29.7%	23.5%	8
58.5%	17.2%	24.3%	9
60.5%	14.8%	24.7%	10
66.5%	8.6%	24.9%	11
67.6%	7.4%	25%	12
70.7%	4.3%	25%	13
71.2%	3.7%	25%	14

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample14.0ms (1.7%)

Algorithm

1×

intervals

Results

9.0ms

256×

body

128

valid

Compiler

Compiled 11 to 11 computations (0% saved)

simplify94.0ms (10.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	90	7
1	90	7

prune2.0ms (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 10 to 8 computations (20% saved)

localize3.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 x (*.f64 y y))

rewrite4.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_4209`
2×	`add-sqr-sqrt_binary64_4192`
1×	`pow1_binary64_4231` `flip3--_binary64_4174` `add-exp-log_binary64_4208` `*-un-lft-identity_binary64_4170` `diff-log_binary64_4262` `add-cbrt-cube_binary64_4206` `difference-of-squares_binary64_4139` `cancel-sign-sub-inv_binary64_4136` `flip--_binary64_4145` `add-cube-cbrt_binary64_4205` `sub-neg_binary64_4163`

Counts

1 → 13

Calls

1 calls:

3.0ms

(-.f64 x (*.f64 y y))

series28.0ms (3.3%)

Counts

1 → 3

Calls

1 calls:

28.0ms

(-.f64 x (*.f64 y y))

simplify55.0ms (6.3%)

Algorithm

1×	egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5263	172

prune13.0ms (1.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	15	1	16
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	2	17

Error

Counts

17 → 2

Compiler

Compiled 153 to 48 computations (68.6% saved)

localize5.0ms (0.6%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 y (sqrt.f64 x))
0.0b	(-.f64 (sqrt.f64 x) y)
0.2b	(*.f64 (+.f64 y (sqrt.f64 x)) (-.f64 (sqrt.f64 x) y))

rewrite27.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64_4192`
16×	`*-un-lft-identity_binary64_4170`
9×	`cancel-sign-sub-inv_binary64_4136`
8×	`add-cube-cbrt_binary64_4205`
7×	`add-log-exp_binary64_4209`
6×	`associate-r_binary64_4110`
5×	`pow1_binary64_4231` `add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206`
4×	`distribute-lft-in_binary64_4119` `frac-times_binary64_4180` `distribute-rgt-in_binary64_4120` `flip3--_binary64_4174` `associate-l_binary64_4111` `flip-+_binary64_4144` `difference-of-squares_binary64_4139` `flip3-+_binary64_4173` `flip--_binary64_4145`
3×	`sub-neg_binary64_4163`
2×	`associate-r/_binary64_4112` `associate-l/_binary64_4113` `sqrt-prod_binary64_4186` `distribute-lft-out--_binary64_4122` `distribute-lft-out_binary64_4121`
1×	`prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `diff-log_binary64_4262` `+-commutative_binary64_4100` `*-commutative_binary64_4101` `sum-log_binary64_4261` `pow-prod-down_binary64_4241` `unswap-sqr_binary64_4138`

Counts

3 → 67

Calls

3 calls:

12.0ms	(*.f64 (+.f64 y (sqrt.f64 x)) (-.f64 (sqrt.f64 x) y))
6.0ms	(-.f64 (sqrt.f64 x) y)
4.0ms	(+.f64 y (sqrt.f64 x))

series85.0ms (9.8%)

Counts

3 → 9

Calls

3 calls:

48.0ms	(*.f64 (+.f64 y (sqrt.f64 x)) (-.f64 (sqrt.f64 x) y))
19.0ms	(-.f64 (sqrt.f64 x) y)
18.0ms	(+.f64 y (sqrt.f64 x))

simplify80.0ms (9.2%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5097	1065

prune41.0ms (4.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	76	2	78

Error

Counts

78 → 2

Compiler

Compiled 1077 to 244 computations (77.3% saved)

regimes31.0ms (3.6%)

Accuracy

Total 0.0b remaining (48.3%)

Threshold costs 0.0b (48.3%)

Compiler

Compiled 76 to 62 computations (18.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	7
1	23	7

end0.0ms (0%)

sample329.0ms (38.1%)

Algorithm

1×

intervals

Results

143.0ms	8000×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 25 to 21 computations (16% saved)

Details

analyze49.0ms (5.7%)

sample14.0ms (1.7%)

simplify94.0ms (10.9%)

prune2.0ms (0.2%)

localize3.0ms (0.4%)

rewrite4.0ms (0.5%)

series28.0ms (3.3%)

simplify55.0ms (6.3%)

prune13.0ms (1.5%)

localize5.0ms (0.6%)

rewrite27.0ms (3.1%)

series85.0ms (9.8%)

simplify80.0ms (9.2%)

prune41.0ms (4.8%)

regimes31.0ms (3.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.3%)

end0.0ms (0%)

sample329.0ms (38.1%)

Profiling