Details

analyze5.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
50%	12.5%	37.5%	5
50%	6.2%	43.8%	6
50%	3.1%	46.9%	7
50%	1.6%	48.5%	8
50%	0.8%	49.2%	9
50.4%	0.4%	49.2%	10
50.4%	0.2%	49.4%	11
50.4%	0.1%	49.5%	12
50.4%	0%	49.6%	13
50.4%	0%	49.6%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample4.7s (91.9%)

Results

3.4s	4385×	body	2048	valid
849.0ms	1994×	body	1024	valid
259.0ms	999×	body	512	valid
93.0ms	533×	body	256	valid
79.0ms	345×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 29 to 23 computations (20.7% saved)

simplify57.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

819×	`div-sub_binary64`
801×	`associate-/l*_binary64`
624×	`fma-def_binary64`
581×	`fma-neg_binary64`
548×	`unswap-sqr_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	20	13
2	35	13
3	57	13
4	112	13
5	223	13
6	481	13
7	890	13
8	1570	13
9	4778	13
10	5815	13

prune2.0ms (0%)

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

31.2b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	31.2b	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

Compiler

Compiled 27 to 21 computations (22.2% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (exp.f64 x) 2)
✓	4.6b	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

series4.0ms (0.1%)

Counts

2 → 16

Calls

2 calls:

3.0ms	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
2.0ms	(-.f64 (exp.f64 x) 2)

rewrite56.0ms (1.1%)

Algorithm

2×	batch-egg-rewrite

Rules

815×	`log1p-expm1-u_binary64`
815×	`expm1-log1p-u_binary64`
536×	`prod-diff_binary64`
92×	`add-sqr-sqrt_binary64`
87×	`add-log-exp_binary64`

Counts

2 → 78

Calls

2 calls:

55.0ms	(-.f64 (exp.f64 x) 2)
55.0ms	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	181	17
2	2012	17
3	5842	17
0	0	0
1	0	0

simplify74.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

750×	`unswap-sqr_binary64`
683×	`distribute-rgt-out_binary64`
567×	`associate-l_binary64`
524×	`fma-def_binary64`
411×	`associate-r_binary64`

Counts

94 → 95

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	45	198
1	108	196
2	236	196
3	630	191
4	2026	191
5	4956	191
6	4921	191
7	4962	191

prune50.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	94	1	95
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	94	2	96

Error

Counts

96 → 2

Alt Table

Status	Error	Program
✓	31.2b	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
▶	0.2b	(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))

Compiler

Compiled 1435 to 830 computations (42.2% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 1/12 (pow.f64 x 4))

series3.0ms (0.1%)

Counts

1 → 0

Calls

1 calls:

3.0ms

(*.f64 1/12 (pow.f64 x 4))

rewrite75.0ms (1.5%)

Algorithm

2×	batch-egg-rewrite

Rules

850×	`log1p-udef_binary64`
465×	`log1p-expm1-u_binary64`
465×	`expm1-log1p-u_binary64`
292×	`unpow-prod-down_binary64`
232×	`log-prod_binary64`

Counts

1 → 20

Calls

1 calls:

74.0ms

(*.f64 1/12 (pow.f64 x 4))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	126	7
2	1237	7
3	4905	7
4	6203	7
0	0	0
1	0	0

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
1	0	0

prune12.0ms (0.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	20	0	20
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	20	2	22

Error

Counts

22 → 2

Alt Table

Status	Error	Program
✓	31.2b	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
✓	0.2b	(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))

Compiler

Compiled 255 to 185 computations (27.5% saved)

regimes20.0ms (0.4%)

Accuracy

Total 0.7b remaining (90.3%)

Threshold costs 0.7b (90.3%)

Counts

9 → 1

Compiler

Compiled 162 to 118 computations (27.2% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	8	11
2	8	11

end42.0ms (0.8%)

Compiler: Compiled 36 to 25 computations (30.6% saved)

Details

analyze5.0ms (0.1%)

sample4.7s (91.9%)

simplify57.0ms (1.1%)

prune2.0ms (0%)

localize6.0ms (0.1%)

series4.0ms (0.1%)

rewrite56.0ms (1.1%)

simplify74.0ms (1.4%)

prune50.0ms (1%)

localize4.0ms (0.1%)

series3.0ms (0.1%)

rewrite75.0ms (1.5%)

simplify6.0ms (0.1%)

prune12.0ms (0.2%)

regimes20.0ms (0.4%)

simplify2.0ms (0%)

end42.0ms (0.8%)

Profiling