Details

analyze380.0ms (9.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
25%	50%	25%	4
25%	37.5%	37.5%	5
25%	31.2%	43.8%	6
25%	28.1%	46.9%	7
25%	26.5%	48.5%	8
25%	25.8%	49.2%	9
25%	25.4%	49.6%	10
25%	25.2%	49.8%	11
25%	25.1%	49.9%	12
25%	25%	50%	13
25%	25%	50%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample67.0ms (1.7%)

Algorithm

1×

intervals

Results

23.0ms	109×	body	2048	nan
15.0ms	256×	body	128	valid
9.0ms	50×	body	1024	nan
4.0ms	36×	body	512	nan
1.0ms	15×	body	256	nan
1.0ms	25×	body	128	nan

Compiler

Compiled 19 to 16 computations (15.8% saved)

simplify364.0ms (9.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (223.0ms)

Iter	Nodes	Cost
0	4922	14
1	4922	14

prune2.0ms (0.1%)

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

32.4b

Counts

2 → 1

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

30.1b

(sqrt.f64 (-.f64 (*.f64 x x) 1))

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`sqrt-prod_binary64_2481`
4×	`add-sqr-sqrt_binary64_2487`
3×	`*-un-lft-identity_binary64_2465`
2×	`difference-of-squares_binary64_2434` `add-cube-cbrt_binary64_2500` `pow1_binary64_2526` `sqrt-div_binary64_2482`
1×	`add-log-exp_binary64_2504` `difference-of-sqr-1_binary64_2435` `flip--_binary64_2440` `pow1/2_binary64_2545` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `rem-sqrt-square_binary64_2478` `flip3--_binary64_2469` `sqrt-pow1_binary64_2483`

Counts

1 → 18

Calls

1 calls:

5.0ms

(sqrt.f64 (-.f64 (*.f64 x x) 1))

series20.0ms (0.5%)

Counts

1 → 3

Calls

1 calls:

20.0ms

(sqrt.f64 (-.f64 (*.f64 x x) 1))

simplify93.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4902	282
1	4902	282

prune33.0ms (0.9%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	20	1	21
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	21	1	22

Error

Counts

22 → 1

Compiler

Compiled 311 to 208 computations (33.1% saved)

localize19.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))
0.5b	(/.f64 1/8 (pow.f64 x 3))

rewrite89.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`times-frac_binary64_2471`
33×	`*-un-lft-identity_binary64_2465`
27×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487`
12×	`associate-/r*_binary64_2409` `cube-prod_binary64_2493` `unpow-prod-down_binary64_2544`
7×	`add-exp-log_binary64_2503`
4×	`add-log-exp_binary64_2504` `unpow3_binary64_2531` `cube-mult_binary64_2495` `add-cbrt-cube_binary64_2501` `sqr-pow_binary64_2437`
3×	`div-exp_binary64_2516` `associate-/l*_binary64_2410`
2×	`pow1_binary64_2526` `distribute-lft-out_binary64_2416`
1×	`flip3-+_binary64_2468` `+-commutative_binary64_2395` `sum-log_binary64_2556` `flip-+_binary64_2439` `clear-num_binary64_2464` `cbrt-undiv_binary64_2499` `pow-exp_binary64_2533` `pow-to-exp_binary64_2534` `div-inv_binary64_2462` `frac-2neg_binary64_2476` `frac-add_binary64_2473`

Counts

2 → 79

Calls

2 calls:

64.0ms	(+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))
11.0ms	(/.f64 1/8 (pow.f64 x 3))

series141.0ms (3.6%)

Counts

2 → 6

Calls

2 calls:

97.0ms	(+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))
44.0ms	(/.f64 1/8 (pow.f64 x 3))

simplify69.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5275	1120

prune101.0ms (2.6%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	85	1	86

Error

Counts

86 → 1

Compiler

Compiled 1627 to 1150 computations (29.3% saved)

regimes62.0ms (1.6%)

Accuracy

Total 0.2b remaining (73.7%)

Threshold costs 0.2b (73.7%)

Compiler

Compiled 141 to 112 computations (20.6% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	54	21
1	54	21

end0.0ms (0%)

sample2.4s (62.6%)

Algorithm

1×

intervals

Results

911.0ms	3964×	body	2048	nan
485.0ms	8000×	body	128	valid
351.0ms	1925×	body	1024	nan
135.0ms	986×	body	512	nan
49.0ms	514×	body	256	nan
22.0ms	491×	body	128	nan
1.0ms	3×	body	4096	nan

Compiler

Compiled 59 to 48 computations (18.6% saved)

Details

analyze380.0ms (9.7%)

sample67.0ms (1.7%)

simplify364.0ms (9.3%)

prune2.0ms (0.1%)

localize9.0ms (0.2%)

rewrite6.0ms (0.2%)

series20.0ms (0.5%)

simplify93.0ms (2.4%)

prune33.0ms (0.9%)

localize19.0ms (0.5%)

rewrite89.0ms (2.3%)

series141.0ms (3.6%)

simplify69.0ms (1.8%)

prune101.0ms (2.6%)

regimes62.0ms (1.6%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample2.4s (62.6%)

Profiling