Details

analyze241.0ms (16.5%)

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
50%	50%	0.1%	4
50%	50%	0.1%	5
68.7%	31.2%	0.1%	6
71.8%	28.1%	0.1%	7
73.4%	14%	12.6%	8
74.1%	13.3%	12.6%	9
74.5%	6.6%	18.8%	10
74.7%	6.4%	18.8%	11
74.8%	3.2%	22%	12
74.9%	3.2%	22%	13
74.9%	1.6%	23.5%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample15.0ms (1%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	8×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify189.0ms (12.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (11.0ms)

Iter	Nodes	Cost
0	193	10
1	193	10

prune3.0ms (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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize6.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

rewrite9.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64` `cancel-sign-sub-inv_binary64` `add-sqr-sqrt_binary64`
2×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
1×	`sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `diff-log_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `difference-of-squares_binary64` `flip--_binary64`

Counts

1 → 15

Calls

1 calls:

7.0ms

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

series43.0ms (2.9%)

Counts

1 → 3

Calls

1 calls:

43.0ms

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

simplify114.0ms (7.8%)

Algorithm

1×	egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (107.0ms)

Iter	Nodes	Cost
0	4849	172
1	4849	172

prune18.0ms (1.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	17	1	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	2	19

Merged error: 0b

Counts

19 → 2

Compiler

Compiled 270 to 138 computations (48.9% saved)

localize14.0ms (1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 x (sqrt.f64 y))
0.0b	(+.f64 x (sqrt.f64 y))
0.1b	(*.f64 (+.f64 x (sqrt.f64 y)) (-.f64 x (sqrt.f64 y)))

rewrite29.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64`
19×	`*-un-lft-identity_binary64`
18×	`cancel-sign-sub-inv_binary64`
11×	`add-cube-cbrt_binary64` `sqrt-prod_binary64`
7×	`add-log-exp_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
6×	`associate-r_binary64`
5×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`flip3-+_binary64` `flip3--_binary64` `associate-l_binary64` `difference-of-squares_binary64` `flip--_binary64` `flip-+_binary64` `frac-times_binary64`
3×	`sub-neg_binary64`
2×	`distribute-lft-out_binary64` `associate-r/_binary64` `distribute-lft-out--_binary64` `associate-l/_binary64`
1×	`pow-prod-down_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

3 → 76

Calls

3 calls:

13.0ms	(*.f64 (+.f64 x (sqrt.f64 y)) (-.f64 x (sqrt.f64 y)))
5.0ms	(-.f64 x (sqrt.f64 y))
4.0ms	(+.f64 x (sqrt.f64 y))

series207.0ms (14.2%)

Counts

3 → 9

Calls

3 calls:

119.0ms	(*.f64 (+.f64 x (sqrt.f64 y)) (-.f64 x (sqrt.f64 y)))
51.0ms	(-.f64 x (sqrt.f64 y))
37.0ms	(+.f64 x (sqrt.f64 y))

simplify75.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4957	1240
1	4957	1240

prune59.0ms (4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	85	2	87

Merged error: 0b

Counts

87 → 2

Compiler

Compiled 1378 to 415 computations (69.9% saved)

regimes53.0ms (3.6%)

Compiler: Compiled 124 to 104 computations (16.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	10
1	18	10

end0.0ms (0%)

sample388.0ms (26.5%)

Algorithm

1×

intervals

Results

191.0ms	7999×	body	128	valid
4.0ms	190×	body	128	invalid
0.0ms	1×	body	512	valid

Compiler

Compiled 33 to 29 computations (12.1% saved)

Details

analyze241.0ms (16.5%)

sample15.0ms (1%)

simplify189.0ms (12.9%)

prune3.0ms (0.2%)

localize6.0ms (0.4%)

rewrite9.0ms (0.6%)

series43.0ms (2.9%)

simplify114.0ms (7.8%)

prune18.0ms (1.2%)

localize14.0ms (1%)

rewrite29.0ms (2%)

series207.0ms (14.2%)

simplify75.0ms (5.1%)

prune59.0ms (4%)

regimes53.0ms (3.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample388.0ms (26.5%)

Profiling