Details

analyze309.0ms (20.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	11
1	12	11
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	50%	50%	2
0%	50%	50%	3
12.5%	25%	62.5%	4
18.7%	12.5%	68.8%	5
21.9%	6.2%	71.9%	6
23.4%	3.1%	73.5%	7
24.2%	1.6%	74.2%	8
24.6%	0.8%	74.6%	9
24.8%	0.4%	74.8%	10
24.9%	0.2%	74.9%	11
24.9%	0.1%	75%	12
25%	0%	75%	13
25%	0%	75%	14

Symmetry

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample17.0ms (1.1%)

Algorithm

1×

intervals

Results

8.0ms

256×

body

128

valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify8.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	11
1	12	11

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

0.5b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize6.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.5b	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))

rewrite58.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

17×	`add-sqr-sqrt_binary64`
14×	`sqrt-prod_binary64`
10×	`associate-l_binary64`
8×	`*-un-lft-identity_binary64`
6×	`associate-r_binary64`
5×	`pow1_binary64` `add-cube-cbrt_binary64`
4×	`unswap-sqr_binary64`
3×	`pow-prod-down_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `sqrt-div_binary64` `associate-*l/_binary64` `difference-of-squares_binary64`
1×	`prod-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `sqrt-unprod_binary64` `flip3--_binary64` `flip--_binary64` `difference-of-sqr-1_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64`

Counts

1 → 36

Calls

1 calls:

13.0ms

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

Compiler

Compiled 505 to 324 computations (35.8% saved)

series40.0ms (2.6%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

33.0ms

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

Compiler

Compiled 106 to 89 computations (16% saved)

simplify100.0ms (6.6%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4856	553
1	4856	553

prune34.0ms (2.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	41	2	43

Error

Counts

43 → 2

Compiler

Compiled 506 to 317 computations (37.4% saved)

localize4.0ms (0.3%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 0b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify6.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune1.0ms (0.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	0	0
Total	2	2

Error

Counts

2 → 2

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize7.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (*.f64 x x) x)
31.4b	(sqrt.f64 (-.f64 (*.f64 x x) x))

rewrite29.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

7×	`add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64`
5×	`sqrt-prod_binary64`
4×	`add-log-exp_binary64` `add-cube-cbrt_binary64`
3×	`pow1_binary64` `cancel-sign-sub-inv_binary64`
2×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `flip3--_binary64` `sqrt-div_binary64` `flip--_binary64` `difference-of-squares_binary64` `distribute-rgt-out--_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `diff-log_binary64` `sub-neg_binary64`

Counts

2 → 33

Calls

2 calls:

4.0ms	(sqrt.f64 (-.f64 (*.f64 x x) x))
4.0ms	(-.f64 (*.f64 x x) x)

Compiler

Compiled 424 to 119 computations (71.9% saved)

series62.0ms (4.1%)

Error

Counts

2 → 12

Calls

2 calls:

38.0ms	(-.f64 (*.f64 x x) x)
18.0ms	(sqrt.f64 (-.f64 (*.f64 x x) x))

Compiler

Compiled 170 to 140 computations (17.6% saved)

simplify93.0ms (6.1%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4802	451
1	4802	451

prune23.0ms (1.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	45	2	47

Error

Counts

47 → 2

Compiler

Compiled 412 to 137 computations (66.7% saved)

regimes70.0ms (4.6%)

Accuracy

Total 0.4b remaining (99.9%)

Threshold costs 0.4b (99.9%)

Compiler

Compiled 413 to 321 computations (22.3% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	76	13
1	76	13

Removed

()

end0.0ms (0%)

sample646.0ms (42.5%)

Algorithm

1×

intervals

Results

236.0ms	8000×	body	128	valid
0.0ms	3×	body	128	nan

Compiler

Compiled 192 to 151 computations (21.4% saved)

Details

analyze309.0ms (20.3%)

sample17.0ms (1.1%)

simplify8.0ms (0.5%)

prune4.0ms (0.3%)

localize6.0ms (0.4%)

rewrite58.0ms (3.8%)

series40.0ms (2.6%)

simplify100.0ms (6.6%)

prune34.0ms (2.2%)

localize4.0ms (0.3%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.4%)

prune1.0ms (0.1%)

localize7.0ms (0.4%)

rewrite29.0ms (1.9%)

series62.0ms (4.1%)

simplify93.0ms (6.1%)

prune23.0ms (1.5%)

regimes70.0ms (4.6%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample646.0ms (42.5%)

Profiling