Details

analyze239.0ms (15.3%)

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
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 (0.9%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	7×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify111.0ms (7.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	212	10
1	212	10

prune4.0ms (0.3%)

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)

localize13.0ms (0.8%)

Local error

Found 1 expressions with local error:

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

rewrite8.0ms (0.5%)

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:

6.0ms

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

series79.0ms (5.1%)

Counts

1 → 12

Calls

1 calls:

79.0ms

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

Compiler

Compiled 134 to 140 computations (-4.5% saved)

simplify61.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4854	234
1	4854	234

prune24.0ms (1.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	26	1	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	26	2	28

Merged error: 0b

Counts

28 → 2

Compiler

Compiled 269 to 124 computations (53.9% saved)

localize7.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

rewrite37.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`add-sqr-sqrt_binary64`
26×	`sqrt-prod_binary64`
20×	`pow1_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
14×	`sqrt-div_binary64`
9×	`pow1/2_binary64` `flip3--_binary64` `swap-sqr_binary64` `sqrt-pow1_binary64` `flip--_binary64`
8×	`add-log-exp_binary64`
7×	`associate-r_binary64` `associate-l_binary64` `difference-of-squares_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `cancel-sign-sub-inv_binary64`
5×	`pow-prod-up_binary64`
4×	`unswap-sqr_binary64` `frac-times_binary64`
3×	`pow-prod-down_binary64` `rem-sqrt-square_binary64` `pow-sqr_binary64`
2×	`sub-neg_binary64` `diff-log_binary64` `associate-r/_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `prod-exp_binary64` `sqr-abs_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 107

Calls

4 calls:

14.0ms	(.f64 (sqrt.f64 (-.f64 (.f64 x x) y)) (sqrt.f64 (-.f64 (*.f64 x x) y)))
5.0ms	(-.f64 (*.f64 x x) y)
4.0ms	(-.f64 (*.f64 x x) y)
4.0ms	(sqrt.f64 (-.f64 (*.f64 x x) y))

series301.0ms (19.3%)

Counts

4 → 52

Calls

4 calls:

79.0ms	(sqrt.f64 (-.f64 (*.f64 x x) y))
78.0ms	(.f64 (sqrt.f64 (-.f64 (.f64 x x) y)) (sqrt.f64 (-.f64 (*.f64 x x) y)))
72.0ms	(-.f64 (*.f64 x x) y)
72.0ms	(-.f64 (*.f64 x x) y)

Compiler

Compiled 1106 to 924 computations (16.5% saved)

simplify75.0ms (4.8%)

Algorithm

1×	egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4942	1808
1	4942	1808

prune111.0ms (7.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	159	2	161

Merged error: 0b

Counts

161 → 2

Compiler

Compiled 2637 to 875 computations (66.8% saved)

regimes62.0ms (4%)

Compiler: Compiled 239 to 199 computations (16.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	10
1	18	10

end0.0ms (0%)

sample412.0ms (26.4%)

Algorithm

1×

intervals

Results

183.0ms	8000×	body	128	valid
4.0ms	164×	body	128	invalid

Compiler

Compiled 56 to 48 computations (14.3% saved)

Details

analyze239.0ms (15.3%)

sample15.0ms (0.9%)

simplify111.0ms (7.1%)

prune4.0ms (0.3%)

localize13.0ms (0.8%)

rewrite8.0ms (0.5%)

series79.0ms (5.1%)

simplify61.0ms (3.9%)

prune24.0ms (1.5%)

localize7.0ms (0.5%)

rewrite37.0ms (2.4%)

series301.0ms (19.3%)

simplify75.0ms (4.8%)

prune111.0ms (7.1%)

regimes62.0ms (4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample412.0ms (26.4%)

Profiling