Details

analyze1.0ms (0%)

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)

sample704.0ms (28.2%)

Results

676.0ms

8256×

body

128

valid

Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify7.0ms (0.3%)

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

prune2.0ms (0.1%)

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

15.9b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	15.9b	(/.f64 x (fma.f64 x x 1))

Compiler

Compiled 28 to 16 computations (42.9% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	15.9b	(/.f64 x (fma.f64 x x 1))

series3.0ms (0.1%)

Counts

1 → 12

Calls

1 calls:

3.0ms

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

rewrite3.0ms (0.1%)

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))

simplify61.0ms (2.4%)

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

prune38.0ms (1.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	45	3	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	3	49

Error

Counts

49 → 3

Alt Table

Status	Error	Program
	45.2b	(cbrt.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (fma.f64 x x 1) (fma.f64 x x 1)) (fma.f64 x x 1))))
	33.1b	(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
▶	30.8b	(-.f64 x (pow.f64 x 3))

Compiler

Compiled 695 to 428 computations (38.4% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (pow.f64 x 3))

series3.0ms (0.1%)

Counts

1 → 3

Calls

1 calls:

3.0ms

(-.f64 x (pow.f64 x 3))

rewrite10.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`prod-diff_binary64`
33×	`add-sqr-sqrt_binary64`
29×	`*-un-lft-identity_binary64`
26×	`add-cube-cbrt_binary64`
13×	`cube-prod_binary64`

Counts

1 → 70

Calls

1 calls:

6.0ms

(-.f64 x (pow.f64 x 3))

simplify91.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

627×	`unswap-sqr_binary64`
471×	`exp-prod_binary64`
425×	`fma-neg_binary64`
413×	`fma-def_binary64`
375×	`cancel-sign-sub-inv_binary64`

Counts

73 → 64

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	116	1059
1	166	853
2	637	637
3	1845	629
4	3952	626
5	4991	626
6	4558	626

prune36.0ms (1.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	64	3	67

Error

Counts

67 → 3

Alt Table

Status	Error	Program
	45.2b	(cbrt.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (fma.f64 x x 1) (fma.f64 x x 1)) (fma.f64 x x 1))))
▶	33.1b	(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
✓	30.8b	(-.f64 x (pow.f64 x 3))

Compiler

Compiled 1407 to 850 computations (39.6% saved)

localize10.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (pow.f64 x 5))
✓	0.4b	(/.f64 1 (pow.f64 x 3))
✓	18.9b	(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))

series9.0ms (0.4%)

Counts

3 → 6

Calls

3 calls:

3.0ms	(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
3.0ms	(/.f64 1 (pow.f64 x 5))
3.0ms	(/.f64 1 (pow.f64 x 3))

rewrite170.0ms (6.8%)

Algorithm

1×	rewrite-expression-head

Rules

850×	`*-un-lft-identity_binary64`
716×	`times-frac_binary64`
432×	`add-sqr-sqrt_binary64`
412×	`add-cube-cbrt_binary64`
400×	`prod-diff_binary64`

Counts

3 → 620

Calls

3 calls:

45.0ms	(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
4.0ms	(/.f64 1 (pow.f64 x 3))
3.0ms	(/.f64 1 (pow.f64 x 5))

simplify482.0ms (19.3%)

Algorithm

1×	egg-herbie

Rules

829×	`fma-def_binary64`
562×	`fma-neg_binary64`
418×	`cancel-sign-sub-inv_binary64`
277×	`unswap-sqr_binary64`
252×	`div-sub_binary64`

Counts

626 → 408

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	249	32664
1	502	15873
2	1517	12127
3	3971	12127
4	4343	12127
5	5015	12127

prune414.0ms (16.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	408	0	408
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	408	3	411

Error

Counts

411 → 3

Alt Table

Status	Error	Program
▶	45.2b	(cbrt.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (fma.f64 x x 1) (fma.f64 x x 1)) (fma.f64 x x 1))))
✓	33.1b	(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
✓	30.8b	(-.f64 x (pow.f64 x 3))

Compiler

Compiled 17315 to 14091 computations (18.6% saved)

localize16.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (fma.f64 x x 1) (fma.f64 x x 1))
✓	0.1b	(.f64 (.f64 x x) x)
✓	24.9b	(/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (fma.f64 x x 1) (fma.f64 x x 1)) (fma.f64 x x 1)))
✓	39.8b	(cbrt.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (fma.f64 x x 1) (fma.f64 x x 1)) (fma.f64 x x 1))))

series17.0ms (0.7%)

Counts

4 → 48

Calls

4 calls:

8.0ms	(cbrt.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (fma.f64 x x 1) (fma.f64 x x 1)) (fma.f64 x x 1))))
4.0ms	(/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (fma.f64 x x 1) (fma.f64 x x 1)) (fma.f64 x x 1)))
3.0ms	(*.f64 (fma.f64 x x 1) (fma.f64 x x 1))
2.0ms	(.f64 (.f64 x x) x)

rewrite37.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

50×	`add-cbrt-cube_binary64`
47×	`add-exp-log_binary64`
30×	`pow1_binary64`
22×	`cbrt-unprod_binary64`
22×	`prod-exp_binary64`

Counts

4 → 109

Calls

4 calls:

9.0ms	(/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (fma.f64 x x 1) (fma.f64 x x 1)) (fma.f64 x x 1)))
8.0ms	(cbrt.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (fma.f64 x x 1) (fma.f64 x x 1)) (fma.f64 x x 1))))
4.0ms	(.f64 (.f64 x x) x)
3.0ms	(*.f64 (fma.f64 x x 1) (fma.f64 x x 1))

simplify83.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

449×	`associate-*l/_binary64`
368×	`associate-*r/_binary64`
342×	`fma-neg_binary64`
319×	`fma-def_binary64`
235×	`associate-/l/_binary64`

Counts

157 → 180

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	173	3337
1	384	2003
2	1442	1700
3	4527	1700
4	4965	1700

prune110.0ms (4.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	180	0	180
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	180	3	183

Error

Counts

183 → 3

Alt Table

Status	Error	Program
✓	45.2b	(cbrt.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (fma.f64 x x 1) (fma.f64 x x 1)) (fma.f64 x x 1))))
✓	33.1b	(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
✓	30.8b	(-.f64 x (pow.f64 x 3))

Compiler

Compiled 4295 to 2461 computations (42.7% saved)

regimes131.0ms (5.2%)

Accuracy

Total 0.0b remaining (53.7%)

Threshold costs 0.0b (53.7%)

Counts

70 → 1

Compiler

Compiled 1916 to 1338 computations (30.2% 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

end54.0ms (2.1%)

Compiler: Compiled 68 to 48 computations (29.4% saved)

Details

analyze1.0ms (0%)

sample704.0ms (28.2%)

simplify7.0ms (0.3%)

prune2.0ms (0.1%)

localize3.0ms (0.1%)

series3.0ms (0.1%)

rewrite3.0ms (0.1%)

simplify61.0ms (2.4%)

prune38.0ms (1.5%)

localize3.0ms (0.1%)

series3.0ms (0.1%)

rewrite10.0ms (0.4%)

simplify91.0ms (3.6%)

prune36.0ms (1.4%)

localize10.0ms (0.4%)

series9.0ms (0.4%)

rewrite170.0ms (6.8%)

simplify482.0ms (19.3%)

prune414.0ms (16.6%)

localize16.0ms (0.7%)

series17.0ms (0.7%)

rewrite37.0ms (1.5%)

simplify83.0ms (3.3%)

prune110.0ms (4.4%)

regimes131.0ms (5.2%)

simplify2.0ms (0.1%)

end54.0ms (2.1%)

Profiling