Details

analyze7.0ms (0.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.5s (75.8%)

Results

1.4s

8256×

body

128

valid

Compiler

Compiled 38 to 32 computations (15.8% saved)

simplify42.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

396×	`fma-neg_binary64`
375×	`fma-def_binary64`
260×	`div-sub_binary64`
123×	`times-frac_binary64`
116×	`associate-/l*_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	19	17
2	25	17
3	35	17
4	57	17
5	73	17
6	102	17
7	158	17
8	240	17
9	299	17
10	391	17
11	536	17
12	777	17
13	826	17
14	799	17
15	722	17

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

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0b	(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))

Compiler

Compiled 36 to 30 computations (16.7% saved)

localize11.0ms (0.6%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 1 x) (+.f64 1 x))

series6.0ms (0.3%)

Counts

1 → 12

Calls

1 calls:

6.0ms

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

rewrite11.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`*-un-lft-identity_binary64`
28×	`add-sqr-sqrt_binary64`
24×	`times-frac_binary64`
13×	`add-cube-cbrt_binary64`
10×	`difference-of-squares_binary64`

Counts

1 → 53

Calls

1 calls:

7.0ms

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

simplify175.0ms (8.8%)

Algorithm

1×	egg-herbie

Rules

812×	`fma-neg_binary64`
458×	`associate-/l*_binary64`
316×	`cancel-sign-sub-inv_binary64`
286×	`distribute-rgt-in_binary64`
256×	`associate-/r*_binary64`

Counts

65 → 66

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	100	1109
1	251	1055
2	631	1047
3	1657	1047
4	4406	1039
5	4990	1039
6	4937	1039

prune86.0ms (4.3%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	66	1	67

Error

Counts

67 → 1

Alt Table

Status	Error	Program
✓	0b	(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))

Compiler

Compiled 1219 to 986 computations (19.1% saved)

regimes56.0ms (2.8%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

4 → 1

Compiler

Compiled 267 to 229 computations (14.2% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
2×	`*-commutative_binary64`
2×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	16	17
2	20	17
3	22	17
4	23	17
5	22	17

end78.0ms (4%)

Compiler: Compiled 36 to 30 computations (16.7% saved)

Iter	Nodes	Cost
0	10	17
1	19	17
2	25	17
3	35	17
4	57	17
5	73	17
6	102	17
7	158	17
8	240	17
9	299	17
10	391	17
11	536	17
12	777	17
13	826	17
14	799	17
15	722	17

Iter	Nodes	Cost
0	10	17
1	19	17
2	25	17
3	35	17
4	57	17
5	73	17
6	102	17
7	158	17
8	240	17
9	299	17
10	391	17
11	536	17
12	777	17
13	826	17
14	799	17
15	722	17

Details

analyze7.0ms (0.4%)

sample1.5s (75.8%)

simplify42.0ms (2.1%)

prune2.0ms (0.1%)

localize11.0ms (0.6%)

series6.0ms (0.3%)

rewrite11.0ms (0.6%)

simplify175.0ms (8.8%)

prune86.0ms (4.3%)

regimes56.0ms (2.8%)

simplify5.0ms (0.2%)

end78.0ms (4%)

Profiling

Iter	Nodes	Cost
0	10	17
1	19	17
2	25	17
3	35	17
4	57	17
5	73	17
6	102	17
7	158	17
8	240	17
9	299	17
10	391	17
11	536	17
12	777	17
13	826	17
14	799	17
15	722	17