Details

analyze57.0ms (3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
25%	74.9%	0.1%	4
43.7%	56.2%	0.1%	5
65.6%	34.3%	0.1%	6
76.5%	23.4%	0.1%	7
82%	18%	0.1%	8
87.8%	12.1%	0.1%	9
90.7%	9.2%	0.1%	10
93.8%	6.1%	0.1%	11
95.3%	4.6%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample754.0ms (39.1%)

Results

722.0ms

8256×

body

128

valid

Compiler

Compiled 23 to 14 computations (39.1% saved)

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	6	7
2	6	7

prune2.0ms (0.1%)

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

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(/.f64 x (+.f64 y x))

Compiler

Compiled 26 to 14 computations (46.2% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series9.0ms (0.4%)

Counts

1 → 24

Calls

1 calls:

8.0ms

(/.f64 x (+.f64 y x))

rewrite5.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64`
12×	`times-frac_binary64`
10×	`add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64`
4×	`associate-/r*_binary64`

Counts

1 → 35

Calls

1 calls:

3.0ms

(/.f64 x (+.f64 y x))

simplify215.0ms (11.1%)

Algorithm

1×	egg-herbie

Rules

614×	`fma-def_binary64`
547×	`associate-/r*_binary64`
430×	`associate-/l/_binary64`
325×	`associate-/r/_binary64`
276×	`cancel-sign-sub-inv_binary64`

Counts

59 → 68

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	914
1	184	884
2	477	833
3	1577	791
4	4946	791

prune35.0ms (1.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	64	4	68
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	64	5	69

Error

Counts

69 → 5

Alt Table

Status	Error	Program
▶	0.6b	(/.f64 1 (/.f64 (+.f64 y x) x))
	34.5b	(-.f64 1 (/.f64 y x))
✓	0.0b	(/.f64 x (+.f64 y x))
	14.4b	(*.f64 (sqrt.f64 (/.f64 x (+.f64 y x))) (sqrt.f64 (/.f64 x (+.f64 y x))))
	13.0b	(cbrt.f64 (.f64 (.f64 (/.f64 x (+.f64 y x)) (/.f64 x (+.f64 y x))) (/.f64 x (+.f64 y x))))

Compiler

Compiled 951 to 314 computations (67% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 y x) x)
✓	0.5b	(/.f64 1 (/.f64 (+.f64 y x) x))

series15.0ms (0.8%)

Counts

2 → 48

Calls

2 calls:

10.0ms	(/.f64 1 (/.f64 (+.f64 y x) x))
5.0ms	(/.f64 (+.f64 y x) x)

rewrite21.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

108×	`times-frac_binary64`
92×	`*-un-lft-identity_binary64`
60×	`add-sqr-sqrt_binary64`
60×	`add-cube-cbrt_binary64`
19×	`associate-/r*_binary64`

Counts

2 → 125

Calls

2 calls:

6.0ms	(/.f64 1 (/.f64 (+.f64 y x) x))
4.0ms	(/.f64 (+.f64 y x) x)

simplify141.0ms (7.3%)

Algorithm

1×	egg-herbie

Rules

955×	`fma-neg_binary64`
428×	`cancel-sign-sub-inv_binary64`
325×	`distribute-rgt-in_binary64`
297×	`times-frac_binary64`
209×	`associate-/l*_binary64`

Counts

173 → 158

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	132	2656
1	278	2369
2	789	2282
3	2561	2259
4	4527	2259
5	5077	2259

prune75.0ms (3.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	157	1	158
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	159	4	163

Error

Counts

163 → 4

Alt Table

Status	Error	Program
▶	0.5b	(/.f64 1 (+.f64 (/.f64 y x) 1))
✓	0.0b	(/.f64 x (+.f64 y x))
	34.5b	(-.f64 1 (/.f64 y x))
	14.4b	(*.f64 (sqrt.f64 (/.f64 x (+.f64 y x))) (sqrt.f64 (/.f64 x (+.f64 y x))))

Compiler

Compiled 2489 to 911 computations (63.4% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 1 (+.f64 (/.f64 y x) 1))

series10.0ms (0.5%)

Counts

1 → 24

Calls

1 calls:

10.0ms

(/.f64 1 (+.f64 (/.f64 y x) 1))

rewrite8.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64`
12×	`times-frac_binary64`
10×	`add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64`
5×	`add-exp-log_binary64`

Counts

1 → 39

Calls

1 calls:

6.0ms

(/.f64 1 (+.f64 (/.f64 y x) 1))

simplify44.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

545×	`associate-/l*_binary64`
527×	`fma-def_binary64`
439×	`associate-*l/_binary64`
422×	`associate-/r*_binary64`
339×	`cancel-sign-sub-inv_binary64`

Counts

63 → 65

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	70	995
1	157	939
2	383	897
3	1261	855
4	4959	855

prune40.0ms (2.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	65	4	69

Error

Counts

69 → 4

Alt Table

Status	Error	Program
✓	0.5b	(/.f64 1 (+.f64 (/.f64 y x) 1))
✓	0.0b	(/.f64 x (+.f64 y x))
	34.5b	(-.f64 1 (/.f64 y x))
▶	14.4b	(*.f64 (sqrt.f64 (/.f64 x (+.f64 y x))) (sqrt.f64 (/.f64 x (+.f64 y x))))

Compiler

Compiled 990 to 608 computations (38.6% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(/.f64 x (+.f64 y x))
✓	0.1b	(*.f64 (sqrt.f64 (/.f64 x (+.f64 y x))) (sqrt.f64 (/.f64 x (+.f64 y x))))
✓	5.5b	(sqrt.f64 (/.f64 x (+.f64 y x)))

series39.0ms (2%)

Counts

2 → 36

Calls

2 calls:

29.0ms	(sqrt.f64 (/.f64 x (+.f64 y x)))
9.0ms	(*.f64 (sqrt.f64 (/.f64 x (+.f64 y x))) (sqrt.f64 (/.f64 x (+.f64 y x))))

rewrite45.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Rules

116×	`sqrt-prod_binary64`
99×	`add-sqr-sqrt_binary64`
98×	`*-un-lft-identity_binary64`
85×	`times-frac_binary64`
50×	`add-cube-cbrt_binary64`

Counts

2 → 148

Calls

2 calls:

19.0ms	(*.f64 (sqrt.f64 (/.f64 x (+.f64 y x))) (sqrt.f64 (/.f64 x (+.f64 y x))))
7.0ms	(sqrt.f64 (/.f64 x (+.f64 y x)))

simplify121.0ms (6.3%)

Algorithm

1×	egg-herbie

Rules

706×	`fma-neg_binary64`
412×	`unswap-sqr_binary64`
320×	`times-frac_binary64`
283×	`associate-/l*_binary64`
196×	`*-commutative_binary64`

Counts

184 → 188

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	190	3019
1	342	2812
2	1120	2686
3	3442	2644
4	4803	2644
5	4980	2644

prune168.0ms (8.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	366	0	366
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	366	4	370

Error

Counts

370 → 4

Alt Table

Status	Error	Program
✓	0.5b	(/.f64 1 (+.f64 (/.f64 y x) 1))
✓	0.0b	(/.f64 x (+.f64 y x))
	34.5b	(-.f64 1 (/.f64 y x))
✓	14.4b	(*.f64 (sqrt.f64 (/.f64 x (+.f64 y x))) (sqrt.f64 (/.f64 x (+.f64 y x))))

Compiler

Compiled 7503 to 1545 computations (79.4% saved)

regimes53.0ms (2.7%)

Accuracy

Total 0.0b remaining (75.5%)

Threshold costs 0.0b (75.5%)

Counts

20 → 1

Compiler

Compiled 722 to 436 computations (39.6% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	6	7
2	6	7

end44.0ms (2.3%)

Compiler: Compiled 52 to 30 computations (42.3% saved)

Details

analyze57.0ms (3%)

sample754.0ms (39.1%)

simplify6.0ms (0.3%)

prune2.0ms (0.1%)

localize3.0ms (0.2%)

series9.0ms (0.4%)

rewrite5.0ms (0.3%)

simplify215.0ms (11.1%)

prune35.0ms (1.8%)

localize4.0ms (0.2%)

series15.0ms (0.8%)

rewrite21.0ms (1.1%)

simplify141.0ms (7.3%)

prune75.0ms (3.9%)

localize4.0ms (0.2%)

series10.0ms (0.5%)

rewrite8.0ms (0.4%)

simplify44.0ms (2.3%)

prune40.0ms (2.1%)

localize7.0ms (0.3%)

series39.0ms (2%)

rewrite45.0ms (2.3%)

simplify121.0ms (6.3%)

prune168.0ms (8.7%)

regimes53.0ms (2.7%)

simplify2.0ms (0.1%)

end44.0ms (2.3%)

Profiling