Details

analyze1.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
100%	0%	0%	3

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample766.0ms (67.5%)

Results

735.0ms

8256×

body

128

valid

Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify6.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`1-exp_binary64`
1×	`fma-def_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	10	8
2	9	8

prune3.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

16.8b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	16.8b	(/.f64 x (fma.f64 x x 1))

Compiler

Compiled 28 to 16 computations (42.9% saved)

localize7.0ms (0.6%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	16.8b	(/.f64 x (fma.f64 x x 1))

series3.0ms (0.3%)

Counts

1 → 12

Calls

1 calls:

3.0ms

(/.f64 x (fma.f64 x x 1))

rewrite3.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64`
9×	`times-frac_binary64`
9×	`add-sqr-sqrt_binary64`
9×	`add-cube-cbrt_binary64`
3×	`associate-/r*_binary64`

Counts

1 → 29

Calls

1 calls:

2.0ms

(/.f64 x (fma.f64 x x 1))

simplify63.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

543×	`associate-/l*_binary64`
513×	`div-sub_binary64`
480×	`associate-/l/_binary64`
388×	`fma-neg_binary64`
289×	`distribute-rgt-in_binary64`

Counts

41 → 48

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	72	635
1	147	601
2	366	580
3	807	580
4	2019	580
5	4600	580
6	5498	580

prune30.0ms (2.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	2	49

Error

Counts

49 → 2

Alt Table

Status	Error	Program
▶	16.8b	(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x x 1))))
	29.3b	(/.f64 1 x)

Compiler

Compiled 633 to 386 computations (39% saved)

localize6.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x x 1))))
✓	0.0b	(log1p.f64 (/.f64 x (fma.f64 x x 1)))
	16.8b	(/.f64 x (fma.f64 x x 1))

series7.0ms (0.6%)

Counts

2 → 24

Calls

2 calls:

3.0ms	(log1p.f64 (/.f64 x (fma.f64 x x 1)))
3.0ms	(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x x 1))))

rewrite1.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`expm1-log1p-u_binary64`
2×	`*-un-lft-identity_binary64`
2×	`add-sqr-sqrt_binary64`
2×	`add-cube-cbrt_binary64`
2×	`add-cbrt-cube_binary64`

Counts

2 → 22

Calls

2 calls:

0.0ms	(log1p.f64 (/.f64 x (fma.f64 x x 1)))
0.0ms	(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x x 1))))

simplify74.0ms (6.5%)

Algorithm

1×	egg-herbie

Rules

700×	`times-frac_binary64`
594×	`fma-def_binary64`
388×	`sub-neg_binary64`
306×	`cancel-sign-sub-inv_binary64`
264×	`associate-l_binary64`

Counts

46 → 54

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	70	655
1	164	617
2	411	613
3	1092	609
4	3492	609
5	4683	609
6	4927	609

prune55.0ms (4.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	102	2	104

Error

Counts

104 → 2

Alt Table

Status	Error	Program
✓	16.8b	(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x x 1))))
▶	29.3b	(/.f64 1 x)

Compiler

Compiled 1429 to 978 computations (31.6% saved)

localize2.0ms (0.2%)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	1	1
Total	2	2

Error

Counts

2 → 2

Alt Table

Status	Error	Program
✓	16.8b	(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x x 1))))
✓	29.3b	(/.f64 1 x)

Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes47.0ms (4.1%)

Accuracy

Total 0.0b remaining (38.9%)

Threshold costs 0.0b (38.9%)

Counts

10 → 3

Compiler

Compiled 138 to 92 computations (33.3% saved)

bsearch4.0ms (0.3%)

Steps

Iters	Range		Point
1	35433675.392022304	207073901852.5396	2751642470.767679
1	-1.4138851421226167e+48	-4.6621357843987896e+27	-8.11969149086397e+37

Compiler

Compiled 2 to 1 computations (50% saved)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`
1×	`if-if-or-not_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	30
1	20	30
2	19	30

end53.0ms (4.7%)

Compiler: Compiled 55 to 39 computations (29.1% saved)

Details

analyze1.0ms (0.1%)

sample766.0ms (67.5%)

simplify6.0ms (0.5%)

prune3.0ms (0.2%)

localize7.0ms (0.6%)

series3.0ms (0.3%)

rewrite3.0ms (0.3%)

simplify63.0ms (5.6%)

prune30.0ms (2.7%)

localize6.0ms (0.5%)

series7.0ms (0.6%)

rewrite1.0ms (0.1%)

simplify74.0ms (6.5%)

prune55.0ms (4.8%)

localize2.0ms (0.2%)

prune1.0ms (0.1%)

regimes47.0ms (4.1%)

bsearch4.0ms (0.3%)

simplify2.0ms (0.2%)

end53.0ms (4.7%)

Profiling