Details

analyze10.0ms (0.7%)

Algorithm

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample15.0ms (1%)

Algorithm

1×

intervals

Results

8.0ms	255×	body	80	valid
0.0ms	1×	body	160	valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify156.0ms (10.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	13	11
1	13	11

prune17.0ms (1.1%)

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

Merged error: 0.5b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize7.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

rewrite214.0ms (14%)

Algorithm

1×	rewrite-expression-head

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` `difference-of-squares_binary64` `sqrt-div_binary64` `associate-*l/_binary64`
1×	`add-log-exp_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `difference-of-sqr-1_binary64` `sqrt-unprod_binary64` `prod-exp_binary64` `distribute-lft-out--_binary64` `insert-posit16` `flip--_binary64` `*-commutative_binary64`

Counts

1 → 37

Calls

1 calls:

207.0ms

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

series73.0ms (4.8%)

Counts

1 → 3

Calls

1 calls:

73.0ms

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

simplify109.0ms (7.1%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	4978	624
1	4978	624

prune44.0ms (2.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	38	2	40
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	3	41

Merged error: 0b

Counts

41 → 3

Compiler

Compiled 548 to 357 computations (34.9% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 x (+.f64 (/.f64 1/8 x) 1/2))

rewrite12.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64` `add-log-exp_binary64`
3×	`add-sqr-sqrt_binary64`
2×	`diff-log_binary64` `distribute-lft-out--_binary64`
1×	`sub-neg_binary64` `pow1_binary64` `associate--r+_binary64` `flip3--_binary64` `distribute-lft-out_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `difference-of-squares_binary64` `insert-posit16` `flip--_binary64` `sum-log_binary64`

Counts

1 → 17

Calls

1 calls:

11.0ms

(-.f64 x (+.f64 (/.f64 1/8 x) 1/2))

series20.0ms (1.3%)

Counts

1 → 3

Calls

1 calls:

20.0ms

(-.f64 x (+.f64 (/.f64 1/8 x) 1/2))

simplify110.0ms (7.2%)

Algorithm

1×	egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4847	300
1	4847	300

prune16.0ms (1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	20	0	20
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	20	3	23

Merged error: 0b

Counts

23 → 3

Compiler

Compiled 246 to 187 computations (24% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

31.7b

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

rewrite6.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`pow1_binary64`
2×	`associate-*r/_binary64` `sqrt-pow1_binary64` `sqrt-div_binary64`
1×	`pow-prod-down_binary64` `*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1/2_binary64` `flip3--_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `insert-posit16` `flip--_binary64` `sqrt-prod_binary64`

Counts

1 → 14

Calls

1 calls:

6.0ms

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

series29.0ms (1.9%)

Counts

1 → 3

Calls

1 calls:

29.0ms

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

simplify202.0ms (13.2%)

Algorithm

1×	egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (185.0ms)

Iter	Nodes	Cost
0	4903	211
1	4903	211

prune14.0ms (0.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	17	0	17
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	17	3	20

Merged error: 0b

Counts

20 → 3

Compiler

Compiled 180 to 132 computations (26.7% saved)

regimes21.0ms (1.4%)

Compiler: Compiled 56 to 48 computations (14.3% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	11
1	19	11

end0.0ms (0%)

sample440.0ms (28.8%)

Algorithm

1×

intervals

Results

232.0ms	7993×	body	80	valid
0.0ms	7×	body	160	valid
0.0ms	5×	body	80	nan

Compiler

Compiled 35 to 31 computations (11.4% saved)

Details

analyze10.0ms (0.7%)

sample15.0ms (1%)

simplify156.0ms (10.2%)

prune17.0ms (1.1%)

localize7.0ms (0.4%)

rewrite214.0ms (14%)

series73.0ms (4.8%)

simplify109.0ms (7.1%)

prune44.0ms (2.9%)

localize5.0ms (0.3%)

rewrite12.0ms (0.8%)

series20.0ms (1.3%)

simplify110.0ms (7.2%)

prune16.0ms (1%)

localize4.0ms (0.3%)

rewrite6.0ms (0.4%)

series29.0ms (1.9%)

simplify202.0ms (13.2%)

prune14.0ms (0.9%)

regimes21.0ms (1.4%)

bsearch0.0ms (0%)

simplify6.0ms (0.4%)

end0.0ms (0%)

sample440.0ms (28.8%)

Profiling