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)

sample928.0ms (56.9%)

Results

900.0ms

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

prune4.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

13.1b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	13.1b	(/.f64 x (+.f64 (*.f64 x x) 1))

Compiler

Compiled 30 to 18 computations (40% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 x x) 1)
✓	13.1b	(/.f64 x (+.f64 (*.f64 x x) 1))

series5.0ms (0.3%)

Counts

2 → 24

Calls

2 calls:

3.0ms	(/.f64 x (+.f64 (*.f64 x x) 1))
2.0ms	(+.f64 (*.f64 x x) 1)

rewrite9.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64`
10×	`add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64`
9×	`times-frac_binary64`
4×	`add-cbrt-cube_binary64`

Counts

2 → 45

Calls

2 calls:

4.0ms	(/.f64 x (+.f64 (*.f64 x x) 1))
3.0ms	(+.f64 (*.f64 x x) 1)

simplify77.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

760×	`fma-neg_binary64`
430×	`associate-/r*_binary64`
327×	`associate-/l/_binary64`
308×	`associate-*l/_binary64`
220×	`distribute-rgt-in_binary64`

Counts

69 → 95

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	93	847
1	216	759
2	535	759
3	1665	759
4	4301	759
5	4975	759
6	5002	759

prune89.0ms (5.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	93	2	95
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	93	3	96

Error

Counts

96 → 3

Alt Table

Status	Error	Program
	30.9b	(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
▶	13.2b	(/.f64 1 (/.f64 (fma.f64 x x 1) x))
✓	13.1b	(/.f64 x (+.f64 (*.f64 x x) 1))

Compiler

Compiled 1314 to 745 computations (43.3% saved)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (/.f64 (fma.f64 x x 1) x))
✓	13.1b	(/.f64 (fma.f64 x x 1) x)

series9.0ms (0.5%)

Counts

2 → 24

Calls

2 calls:

6.0ms	(/.f64 (fma.f64 x x 1) x)
3.0ms	(/.f64 1 (/.f64 (fma.f64 x x 1) x))

rewrite15.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

84×	`times-frac_binary64`
52×	`*-un-lft-identity_binary64`
52×	`add-sqr-sqrt_binary64`
52×	`add-cube-cbrt_binary64`
16×	`associate-/r*_binary64`

Counts

2 → 107

Calls

2 calls:

4.0ms	(/.f64 1 (/.f64 (fma.f64 x x 1) x))
2.0ms	(/.f64 (fma.f64 x x 1) x)

simplify108.0ms (6.6%)

Algorithm

1×	egg-herbie

Rules

889×	`fma-neg_binary64`
480×	`distribute-rgt-in_binary64`
446×	`distribute-lft-in_binary64`
328×	`fma-def_binary64`
318×	`associate-/l*_binary64`

Counts

131 → 165

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	117	2207
1	225	1982
2	601	1871
3	1435	1871
4	2986	1838
5	4559	1838
6	4940	1838

prune87.0ms (5.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	164	1	165
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	165	3	168

Error

Counts

168 → 3

Alt Table

Status	Error	Program
▶	0.1b	(/.f64 1 (+.f64 (/.f64 1 x) x))
✓	13.2b	(/.f64 1 (/.f64 (fma.f64 x x 1) x))
✓	13.1b	(/.f64 x (+.f64 (*.f64 x x) 1))

Compiler

Compiled 2732 to 1799 computations (34.2% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series7.0ms (0.4%)

Counts

2 → 15

Calls

2 calls:

4.0ms	(+.f64 (/.f64 1 x) x)
3.0ms	(/.f64 1 (+.f64 (/.f64 1 x) x))

rewrite18.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64`
24×	`times-frac_binary64`
19×	`add-sqr-sqrt_binary64`
19×	`add-cube-cbrt_binary64`
13×	`fma-def_binary64`

Counts

2 → 71

Calls

2 calls:

7.0ms	(/.f64 1 (+.f64 (/.f64 1 x) x))
7.0ms	(+.f64 (/.f64 1 x) x)

simplify94.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

765×	`fma-neg_binary64`
548×	`fma-def_binary64`
360×	`div-sub_binary64`
347×	`cancel-sign-sub-inv_binary64`
228×	`sub-neg_binary64`

Counts

86 → 99

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	73	976
1	175	910
2	390	910
3	921	866
4	2650	866
5	4059	866
6	4919	866
7	4933	866

prune57.0ms (3.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	99	3	102

Error

Counts

102 → 3

Alt Table

Status	Error	Program
✓	0.1b	(/.f64 1 (+.f64 (/.f64 1 x) x))
✓	13.2b	(/.f64 1 (/.f64 (fma.f64 x x 1) x))
✓	13.1b	(/.f64 x (+.f64 (*.f64 x x) 1))

Compiler

Compiled 1388 to 1018 computations (26.7% saved)

regimes55.0ms (3.3%)

Accuracy

Total 0.0b remaining (87.6%)

Threshold costs 0.0b (87.6%)

Counts

28 → 1

Compiler

Compiled 550 to 370 computations (32.7% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	16
1	10	16
2	9	16

end47.0ms (2.9%)

Compiler: Compiled 49 to 35 computations (28.6% saved)

Details

analyze1.0ms (0.1%)

sample928.0ms (56.9%)

simplify6.0ms (0.4%)

prune4.0ms (0.2%)

localize4.0ms (0.2%)

series5.0ms (0.3%)

rewrite9.0ms (0.5%)

simplify77.0ms (4.8%)

prune89.0ms (5.5%)

localize4.0ms (0.3%)

series9.0ms (0.5%)

rewrite15.0ms (0.9%)

simplify108.0ms (6.6%)

prune87.0ms (5.4%)

localize4.0ms (0.2%)

series7.0ms (0.4%)

rewrite18.0ms (1.1%)

simplify94.0ms (5.8%)

prune57.0ms (3.5%)

regimes55.0ms (3.3%)

simplify2.0ms (0.1%)

end47.0ms (2.9%)

Profiling