Details

analyze6.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	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 15 to 11 computations (26.7% saved)

sample2.3s (72.9%)

Results

2.1s	8256×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 44 to 32 computations (27.3% saved)

simplify199.0ms (6.4%)

Algorithm

1×	egg-herbie

Rules

1115×	`distribute-rgt-neg-in_binary64`
788×	`distribute-rgt-out--_binary64`
692×	`unsub-neg_binary64`
492×	`fma-neg_binary64`
461×	`distribute-neg-in_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	18	20
2	24	20
3	34	20
4	50	20
5	73	20
6	113	20
7	247	20
8	452	20
9	742	20
10	1560	20
11	2338	20
12	2392	20
13	2628	20
14	2776	20
15	2774	20
16	2851	20
17	3110	20
18	3673	20
19	4665	20
20	4910	20
21	4952	20
22	4963	20
23	4960	20
24	6208	20

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

0.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.0b	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

Compiler

Compiled 42 to 30 computations (28.6% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series15.0ms (0.5%)

Counts

2 → 24

Calls

2 calls:

10.0ms	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
5.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))

rewrite72.0ms (2.3%)

Algorithm

2×	batch-egg-rewrite

Rules

141× egg-rr

Counts

2 → 141

Calls

2 calls:

68.0ms	((+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	223	38
2	2931	36
3	5582	36
0	0	0
1	0	0

simplify56.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

854×	`fma-neg_binary64`
710×	`cancel-sign-sub-inv_binary64`
407×	`times-frac_binary64`
245×	`sub-neg_binary64`
223×	`distribute-neg-frac_binary64`

Counts

165 → 183

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	503
1	247	488
2	734	477
3	2418	474
4	4876	474
5	5244	474

prune112.0ms (3.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	182	1	183
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	182	2	184

Error

Counts

184 → 2

Alt Table

Status	Error	Program
✓	0.0b	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
▶	33.2b	(log.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (pow.f64 x -2)))

Compiler

Compiled 3677 to 2327 computations (36.7% saved)

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (pow.f64 x -2)))
✓	0.0b	(fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
✓	31.1b	(.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (pow.f64 x -2))

series19.0ms (0.6%)

Counts

3 → 36

Calls

3 calls:

10.0ms	(log.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (pow.f64 x -2)))
5.0ms	(.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (pow.f64 x -2))
4.0ms	(fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)

rewrite90.0ms (2.9%)

Algorithm

2×	batch-egg-rewrite

Rules

99× egg-rr

Counts

3 → 99

Calls

2 calls:

88.0ms	((.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (pow.f64 x -2)) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (log.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -2))))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	53
1	229	53
2	2530	53
3	4934	53
4	4942	53
0	0	0
1	0	0

simplify51.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

646×	`fma-neg_binary64`
487×	`times-frac_binary64`
345×	`sub-neg_binary64`
326×	`fma-def_binary64`
266×	`unswap-sqr_binary64`

Counts

135 → 165

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	112	715
1	338	695
2	992	679
3	3164	676
4	4979	676

prune94.0ms (3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	165	0	165
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	165	2	167

Error

Counts

167 → 2

Alt Table

Status	Error	Program
✓	0.0b	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
✓	33.2b	(log.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (pow.f64 x -2)))

Compiler

Compiled 3276 to 2270 computations (30.7% saved)

regimes64.0ms (2%)

Accuracy

Total 0.0b remaining (1%)

Threshold costs 0.0b (1%)

Counts

19 → 1

Compiler

Compiled 757 to 580 computations (23.4% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	18	20
2	24	20
3	28	20
4	30	20
5	29	20

end48.0ms (1.5%)

Compiler: Compiled 57 to 40 computations (29.8% saved)

Details

analyze6.0ms (0.2%)

sample2.3s (72.9%)

simplify199.0ms (6.4%)

prune2.0ms (0.1%)

localize8.0ms (0.3%)

series15.0ms (0.5%)

rewrite72.0ms (2.3%)

simplify56.0ms (1.8%)

prune112.0ms (3.6%)

localize10.0ms (0.3%)

series19.0ms (0.6%)

rewrite90.0ms (2.9%)

simplify51.0ms (1.6%)

prune94.0ms (3%)

regimes64.0ms (2%)

simplify3.0ms (0.1%)

end48.0ms (1.5%)

Profiling