Details

analyze71.0ms (5.4%)

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
25%	74.9%	0.1%	5
37.5%	50%	12.6%	6
43.7%	40.6%	15.7%	7
56.2%	23.4%	20.4%	8
57.8%	21.1%	21.2%	9
64%	12.5%	23.5%	10
64.8%	10.7%	24.5%	11
67.9%	6.4%	25.7%	12
68.3%	5.4%	26.3%	13
69.9%	3.3%	26.9%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample14.0ms (1.1%)

Algorithm

1×

intervals

Results

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

Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify110.0ms (8.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	364	10
1	364	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

Error

Counts

2 → 2

Compiler

Compiled 23 to 19 computations (17.4% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

rewrite6.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_15803`
1×	`add-cbrt-cube_binary64_15800` `distribute-lft-out--_binary64_15716` `sub-neg_binary64_15757` `add-exp-log_binary64_15802` `add-sqr-sqrt_binary64_15786` `add-cube-cbrt_binary64_15799` `flip--_binary64_15739` `*-un-lft-identity_binary64_15764` `cancel-sign-sub-inv_binary64_15730` `flip3--_binary64_15768` `pow1_binary64_15825` `diff-log_binary64_15856`

Counts

1 → 13

Calls

2 calls:

5.0ms	(-.f64 (.f64 x x) (.f64 x y))
0.0ms	(-.f64 (.f64 x x) (.f64 x y))

series81.0ms (6.2%)

Counts

1 → 12

Calls

1 calls:

81.0ms

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

Compiler

Compiled 144 to 135 computations (6.3% saved)

simplify61.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4892	227
1	4892	227

prune15.0ms (1.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	25	0	25
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	25	2	27

Error

Counts

27 → 2

Compiler

Compiled 249 to 100 computations (59.8% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite9.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_15786`
7×	`*-un-lft-identity_binary64_15764`
6×	`cancel-sign-sub-inv_binary64_15730`
5×	`add-cube-cbrt_binary64_15799` `associate-r_binary64_15704`
4×	`distribute-lft-in_binary64_15713` `distribute-rgt-in_binary64_15714`
3×	`add-cbrt-cube_binary64_15800` `add-exp-log_binary64_15802` `associate-l_binary64_15705` `pow1_binary64_15825`
2×	`sub-neg_binary64_15757` `associate-*r/_binary64_15706`
1×	`add-log-exp_binary64_15803` `distribute-lft-out--_binary64_15716` `difference-of-squares_binary64_15733` `cbrt-unprod_binary64_15797` `prod-exp_binary64_15813` `flip--_binary64_15739` `unswap-sqr_binary64_15732` `*-commutative_binary64_15695` `flip3--_binary64_15768` `pow-prod-down_binary64_15835`

Counts

1 → 30

Calls

2 calls:

7.0ms	(*.f64 x (-.f64 x y))
0.0ms	(*.f64 x (-.f64 x y))

series70.0ms (5.4%)

Counts

1 → 12

Calls

1 calls:

70.0ms

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

Compiler

Compiled 144 to 135 computations (6.3% saved)

simplify49.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5052	365

prune21.0ms (1.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	42	0	42
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	42	2	44

Error

Counts

44 → 2

Compiler

Compiled 422 to 152 computations (64% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	58	37
1	58	37

regimes53.0ms (4.1%)

Compiler: Compiled 152 to 160 computations (-5.3% saved)

bsearch0.0ms (0%)

regimes24.0ms (1.8%)

Compiler: Compiled 44 to 58 computations (-31.8% saved)

bsearch0.0ms (0%)

regimes61.0ms (4.7%)

Compiler: Compiled 30 to 46 computations (-53.3% saved)

bsearch25.0ms (1.9%)

Steps

Iters	Range		Point
7	5.653596555670478e-79	3.2373455879227804e-77	2.8835203175836237e-77
9	-1.5387427850253125e-11	-4.005129065532192e-18	-7.349671524913476e-14

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes20.0ms (1.6%)

Compiler: Compiled 20 to 36 computations (-80% saved)

bsearch0.0ms (0%)

regimes16.0ms (1.2%)

Accuracy

Total 0.0b remaining (38.6%)

Threshold costs 0.0b (38.6%)

Compiler

Compiled 10 to 26 computations (-160% saved)

bsearch4.0ms (0.3%)

Compiler: Compiled 46 to 40 computations (13% saved)

simplify3.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	59	60
1	59	60

end0.0ms (0%)

sample575.0ms (44%)

Algorithm

1×

intervals

Results

227.0ms	8000×	body	128	valid
4.0ms	163×	body	128	invalid

Compiler

Compiled 88 to 87 computations (1.1% saved)

Pareto

0.3123163706771361

Details

analyze71.0ms (5.4%)

sample14.0ms (1.1%)

simplify110.0ms (8.4%)

prune4.0ms (0.3%)

localize6.0ms (0.4%)

rewrite6.0ms (0.5%)

series81.0ms (6.2%)

simplify61.0ms (4.6%)

prune15.0ms (1.2%)

localize5.0ms (0.3%)

rewrite9.0ms (0.7%)

series70.0ms (5.4%)

simplify49.0ms (3.7%)

prune21.0ms (1.6%)

simplify3.0ms (0.2%)

regimes53.0ms (4.1%)

bsearch0.0ms (0%)

regimes24.0ms (1.8%)

bsearch0.0ms (0%)

regimes61.0ms (4.7%)

bsearch25.0ms (1.9%)

regimes20.0ms (1.6%)

bsearch0.0ms (0%)

regimes16.0ms (1.2%)

bsearch4.0ms (0.3%)

simplify3.0ms (0.3%)

end0.0ms (0%)

sample575.0ms (44%)

Profiling