Details

analyze5.0ms (0.4%)

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 9 to 7 computations (22.2% saved)

sample876.0ms (65.1%)

Results

833.0ms	8256×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify11.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	13	11
2	14	11
3	12	11

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

0.5b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.5b	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))

Compiler

Compiled 24 to 18 computations (25% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.5b	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))

series14.0ms (1.1%)

Counts

1 → 4

Calls

1 calls:

14.0ms

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

rewrite11.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64`
14×	`sqrt-prod_binary64`
10×	`associate-l_binary64`
8×	`*-un-lft-identity_binary64`
6×	`associate-r_binary64`

Counts

1 → 39

Calls

1 calls:

8.0ms

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

simplify164.0ms (12.2%)

Algorithm

1×	egg-herbie

Rules

865×	`fma-neg_binary64`
626×	`distribute-rgt-in_binary64`
492×	`distribute-lft-in_binary64`
314×	`associate-l_binary64`
262×	`associate-/r*_binary64`

Counts

43 → 51

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	73	590
1	146	578
2	355	578
3	725	578
4	1829	568
5	4473	568
6	4973	568

prune29.0ms (2.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	49	2	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	49	3	52

Error

Counts

52 → 3

Alt Table

Status	Error	Program
✓	0.5b	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
	33.5b	(sqrt.f64 (*.f64 (-.f64 x 1) x))
▶	0.7b	(-.f64 x (+.f64 1/2 (/.f64 1/8 x)))

Compiler

Compiled 694 to 456 computations (34.3% saved)

localize4.0ms (0.3%)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	1	1
Total	3	3

Error

Counts

3 → 3

Alt Table

Status	Error	Program
✓	0.5b	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
▶	33.5b	(sqrt.f64 (*.f64 (-.f64 x 1) x))
✓	0.7b	(-.f64 x (+.f64 1/2 (/.f64 1/8 x)))

Compiler

Compiled 30 to 22 computations (26.7% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	31.2b	(sqrt.f64 (*.f64 (-.f64 x 1) x))

series5.0ms (0.4%)

Counts

1 → 8

Calls

1 calls:

5.0ms

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

rewrite4.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`pow1_binary64`
2×	`sqrt-div_binary64`
2×	`associate-*l/_binary64`
2×	`sqrt-pow1_binary64`
1×	`*-un-lft-identity_binary64`

Counts

1 → 15

Calls

1 calls:

4.0ms

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

simplify81.0ms (6%)

Algorithm

1×	egg-herbie

Rules

455×	`fma-neg_binary64`
446×	`distribute-rgt-in_binary64`
369×	`distribute-lft-in_binary64`
331×	`fma-def_binary64`
282×	`difference-of-squares_binary64`

Counts

23 → 37

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	55	238
1	111	232
2	272	228
3	684	228
4	1676	228
5	4250	228
6	4986	228

prune29.0ms (2.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	37	0	37
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	37	3	40

Error

Counts

40 → 3

Alt Table

Status	Error	Program
✓	0.5b	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
✓	33.5b	(sqrt.f64 (*.f64 (-.f64 x 1) x))
✓	0.7b	(-.f64 x (+.f64 1/2 (/.f64 1/8 x)))

Compiler

Compiled 407 to 256 computations (37.1% saved)

regimes22.0ms (1.6%)

Accuracy

Total 0.5b remaining (99.8%)

Threshold costs 0.5b (99.8%)

Counts

9 → 1

Compiler

Compiled 148 to 108 computations (27% saved)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	13	11
2	14	11
3	12	11

end76.0ms (5.7%)

Compiler: Compiled 39 to 29 computations (25.6% saved)

Details

analyze5.0ms (0.4%)

sample876.0ms (65.1%)

simplify11.0ms (0.8%)

prune2.0ms (0.1%)

localize5.0ms (0.3%)

series14.0ms (1.1%)

rewrite11.0ms (0.8%)

simplify164.0ms (12.2%)

prune29.0ms (2.2%)

localize4.0ms (0.3%)

prune2.0ms (0.1%)

localize4.0ms (0.3%)

series5.0ms (0.4%)

rewrite4.0ms (0.3%)

simplify81.0ms (6%)

prune29.0ms (2.1%)

regimes22.0ms (1.6%)

simplify2.0ms (0.2%)

end76.0ms (5.7%)

Profiling