Details

analyze3.0ms (0.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
87.5%	12.5%	0%	4
93.7%	6.2%	0%	5
96.8%	3.1%	0%	6
98.4%	1.6%	0%	7
99.2%	0.8%	0%	8
99.6%	0.4%	0%	9
99.8%	0.2%	0%	10
99.9%	0.1%	0%	11
99.9%	0%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample654.0ms (64.6%)

Results

642.0ms

8256×

body

128

valid

Compiler

Compiled 18 to 14 computations (22.2% saved)

preprocess38.0ms (3.8%)

Algorithm

2×	egg-herbie

Rules

468×	`fma-def_binary64`
327×	`fma-neg_binary64`
233×	`div-sub_binary64`
156×	`times-frac_binary64`
137×	`associate-/l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	11	10
2	15	10
3	21	10
4	29	10
5	39	10
6	52	10
7	69	10
8	88	10
9	120	10
10	153	10
11	195	10
12	287	10
13	417	10
14	669	10
15	1292	10
16	1949	10
17	2469	10
18	2644	10
19	2780	10
0	1	1

Stop Event

1×	saturated
1×	saturated

Compiler

Compiled 8 to 6 computations (25% saved)

simplify34.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

468×	`fma-def_binary64`
327×	`fma-neg_binary64`
233×	`div-sub_binary64`
156×	`times-frac_binary64`
137×	`associate-/l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	11	10
2	15	10
3	21	10
4	29	10
5	39	10
6	52	10
7	69	10
8	88	10
9	120	10
10	153	10
11	195	10
12	287	10
13	417	10
14	669	10
15	1292	10
16	1949	10
17	2469	10
18	2644	10
19	2780	10

Stop Event

1×

saturated

Counts

1 → 1

prune1.0ms (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	(/.f64 (+.f64 x 1) (-.f64 1 x))

Compiler

Compiled 24 to 18 computations (25% saved)

localize4.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

series2.0ms (0.2%)

Counts

1 → 12

Calls

3 calls:

1.0ms	(/.f64 (+.f64 x 1) (-.f64 1 x))	x	0
1.0ms	(/.f64 (+.f64 x 1) (-.f64 1 x))	x	-inf
1.0ms	(/.f64 (+.f64 x 1) (-.f64 1 x))	x	inf

rewrite38.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

737×	`log1p-expm1-u_binary64`
737×	`expm1-log1p-u_binary64`
241×	`prod-diff_binary64`
69×	`add-sqr-sqrt_binary64`
65×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	138	10
2	1948	10

Stop Event

1×	node limit

Counts

1 → 35

simplify23.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

670×	`fma-neg_binary64`
601×	`fma-def_binary64`
418×	`cancel-sign-sub-inv_binary64`
303×	`associate-/l/_binary64`
291×	`times-frac_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	32	151
1	102	130
2	299	128
3	890	128
4	2653	124

Stop Event

1×	node limit

Counts

47 → 49

prune29.0ms (2.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	48	1	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	2	50

Error

Counts

50 → 2

Alt Table

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

Compiler

Compiled 612 to 478 computations (21.9% saved)

localize6.0ms (0.6%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (-.f64 1 x))
✓	0.1b	(*.f64 (+.f64 x 1) (/.f64 1 (-.f64 1 x)))

series4.0ms (0.4%)

Counts

2 → 24

Calls

6 calls:

1.0ms	(/.f64 1 (-.f64 1 x))	x	-inf
1.0ms	(/.f64 1 (-.f64 1 x))	x	inf
1.0ms	(*.f64 (+.f64 x 1) (/.f64 1 (-.f64 1 x)))	x	0
1.0ms	(*.f64 (+.f64 x 1) (/.f64 1 (-.f64 1 x)))	x	-inf
1.0ms	(*.f64 (+.f64 x 1) (/.f64 1 (-.f64 1 x)))	x	inf

rewrite44.0ms (4.3%)

Algorithm

1×	batch-egg-rewrite

Rules

792×	`log1p-expm1-u_binary64`
792×	`expm1-log1p-u_binary64`
232×	`prod-diff_binary64`
79×	`add-sqr-sqrt_binary64`
74×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	161	17
2	2206	17

Stop Event

1×	node limit

Counts

2 → 67

simplify30.0ms (3%)

Algorithm

1×	egg-herbie

Rules

703×	`fma-def_binary64`
555×	`times-frac_binary64`
333×	`sub-neg_binary64`
169×	`unswap-sqr_binary64`
159×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	334
1	148	297
2	436	294
3	1306	290
4	3747	290

Stop Event

1×	node limit

Counts

91 → 93

prune47.0ms (4.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	93	2	95

Error

Counts

95 → 2

Alt Table

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

Compiler

Compiled 1173 to 898 computations (23.4% saved)

regimes18.0ms (1.8%)

Accuracy

Total 0.0b remaining (18.1%)

Threshold costs 0.0b (18.1%)

Counts

10 → 1

Compiler

Compiled 174 to 134 computations (23% saved)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	11	10
2	15	10
3	17	10
4	18	10

Stop Event

1×

saturated

end36.0ms (3.5%)

Stop Event

1×

done

Compiler

Compiled 34 to 26 computations (23.5% saved)

Details

analyze3.0ms (0.3%)

sample654.0ms (64.6%)

preprocess38.0ms (3.8%)

simplify34.0ms (3.3%)

prune1.0ms (0.1%)

localize4.0ms (0.4%)

series2.0ms (0.2%)

rewrite38.0ms (3.7%)

simplify23.0ms (2.3%)

prune29.0ms (2.9%)

localize6.0ms (0.6%)

series4.0ms (0.4%)

rewrite44.0ms (4.3%)

simplify30.0ms (3%)

prune47.0ms (4.6%)

regimes18.0ms (1.8%)

simplify2.0ms (0.2%)

end36.0ms (3.5%)

Profiling