Details

analyze1.0ms (0.1%)

Algorithm

1×

Search

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample786.0ms (52.8%)

Infinites

0% of outputs are infinite.

Results

739.0ms

8256×

body

128

valid

Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify6.0ms (0.4%)

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

prune6.0ms (0.4%)

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

16.6b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	16.6b	(/.f64 x (fma.f64 x x 1))

Compiler

Compiled 28 to 16 computations (42.9% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	16.6b	(/.f64 x (fma.f64 x x 1))

series3.0ms (0.2%)

Counts

1 → 12

Calls

1 calls:

3.0ms

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

rewrite3.0ms (0.2%)

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))

simplify65.0ms (4.4%)

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

prune32.0ms (2.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	3	49

Error

Counts

49 → 3

Alt Table

Status	Error	Program
	28.5b	(/.f64 1 x)
✓	16.6b	(/.f64 x (fma.f64 x x 1))
▶	1.2b	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (hypot.f64 1 x)) (/.f64 (cbrt.f64 x) (hypot.f64 1 x)))

Compiler

Compiled 656 to 398 computations (39.3% saved)

localize7.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (cbrt.f64 x) (hypot.f64 1 x))
✓	0.3b	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (hypot.f64 1 x)) (/.f64 (cbrt.f64 x) (hypot.f64 1 x)))
✓	0.5b	(cbrt.f64 x)
✓	0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))

series117.0ms (7.9%)

Counts

4 → 48

Calls

4 calls:

50.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
35.0ms	(cbrt.f64 x)
23.0ms	(/.f64 (cbrt.f64 x) (hypot.f64 1 x))
10.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (hypot.f64 1 x)) (/.f64 (cbrt.f64 x) (hypot.f64 1 x)))

rewrite35.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

67×	`add-sqr-sqrt_binary64`
46×	`times-frac_binary64`
43×	`*-un-lft-identity_binary64`
43×	`add-cube-cbrt_binary64`
42×	`cbrt-prod_binary64`

Counts

4 → 157

Calls

4 calls:

14.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (hypot.f64 1 x)) (/.f64 (cbrt.f64 x) (hypot.f64 1 x)))
4.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
3.0ms	(/.f64 (cbrt.f64 x) (hypot.f64 1 x))
1.0ms	(cbrt.f64 x)

simplify145.0ms (9.8%)

Algorithm

1×	egg-herbie

Rules

605×	`associate-/r*_binary64`
601×	`fma-def_binary64`
456×	`fma-neg_binary64`
435×	`associate-/r/_binary64`
247×	`unswap-sqr_binary64`

Counts

205 → 262

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	253	3625
1	648	3125
2	2198	3037
3	4257	3006
4	4938	3006
5	4892	3006

prune156.0ms (10.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	298	0	298
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	298	3	301

Error

Counts

301 → 3

Alt Table

Status	Error	Program
▶	28.5b	(/.f64 1 x)
✓	16.6b	(/.f64 x (fma.f64 x x 1))
✓	1.2b	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (hypot.f64 1 x)) (/.f64 (cbrt.f64 x) (hypot.f64 1 x)))

Compiler

Compiled 6945 to 3775 computations (45.6% saved)

localize2.0ms (0.1%)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

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

Error

Counts

3 → 3

Alt Table

Status	Error	Program
✓	28.5b	(/.f64 1 x)
✓	16.6b	(/.f64 x (fma.f64 x x 1))
✓	1.2b	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (hypot.f64 1 x)) (/.f64 (cbrt.f64 x) (hypot.f64 1 x)))

Compiler

Compiled 28 to 17 computations (39.3% saved)

regimes60.0ms (4.1%)

Accuracy

Total 0.0b remaining (81.8%)

Threshold costs 0.0b (81.8%)

Counts

19 → 3

Compiler

Compiled 456 to 290 computations (36.4% saved)

bsearch3.0ms (0.2%)

Steps

Iters	Range		Point
1	5.51435228298358e+115	1.3251765983779942e+121	2.705791956297306e+118
1	-2249486135912964900.0	-195684454051617950.0	-665510065929765400.0

Compiler

Compiled 2 to 1 computations (50% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`1-exp_binary64`
1×	`if-if-or-not_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	28
1	20	28
2	19	28

end55.0ms (3.7%)

Compiler: Compiled 68 to 45 computations (33.8% saved)

Details

analyze1.0ms (0.1%)

sample786.0ms (52.8%)

simplify6.0ms (0.4%)

prune6.0ms (0.4%)

localize3.0ms (0.2%)

series3.0ms (0.2%)

rewrite3.0ms (0.2%)

simplify65.0ms (4.4%)

prune32.0ms (2.1%)

localize7.0ms (0.5%)

series117.0ms (7.9%)

rewrite35.0ms (2.4%)

simplify145.0ms (9.8%)

prune156.0ms (10.4%)

localize2.0ms (0.1%)

prune2.0ms (0.1%)

regimes60.0ms (4.1%)

bsearch3.0ms (0.2%)

simplify2.0ms (0.1%)

end55.0ms (3.7%)

Profiling