Details

analyze1.1s (29.4%)

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
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
0%	99.1%	0.9%	9
1.6%	96.3%	2.1%	10
3.9%	94%	2.1%	11
5.1%	92%	3%	12
6.8%	88.6%	4.6%	13
8.9%	86.5%	4.6%	14

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample1.3s (35.1%)

Symmetry

(sort x y)

Results

840.0ms	8256×	body	128	valid
389.0ms	776×	body	8192	exit
38.0ms	406×	body	128	invalid

Compiler

Compiled 17 to 11 computations (35.3% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
2	13	7
3	16	7
4	17	7
5	17	7

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

7.1b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	7.1b	(/.f64 (*.f64 x y) z)

Compiler

Compiled 24 to 15 computations (37.5% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.9b	(/.f64 (*.f64 x y) z)

series14.0ms (0.4%)

Counts

1 → 36

Calls

1 calls:

14.0ms

(/.f64 (*.f64 x y) z)

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-cbrt-cube_binary64`
6×	`add-exp-log_binary64`
3×	`associate-/r*_binary64`
3×	`*-un-lft-identity_binary64`
3×	`times-frac_binary64`

Counts

1 → 23

Calls

1 calls:

3.0ms

(/.f64 (*.f64 x y) z)

simplify117.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1034×	`associate-/r/_binary64`
1020×	`div-sub_binary64`
899×	`associate-/r*_binary64`
356×	`associate-/l*_binary64`
354×	`sub-neg_binary64`

Counts

59 → 36

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	513
1	118	468
2	408	468
3	1644	468
4	1898	468
5	2032	468
6	2452	468
7	3371	468
8	3480	468
9	4398	468
10	4999	468
11	4859	468

prune29.0ms (0.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	29	7	36
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	30	7	37

Error

0.0b

Counts

37 → 7

Alt Table

Status	Error	Program
	35.1b	(/.f64 (*.f64 y (/.f64 x (sqrt.f64 z))) (sqrt.f64 z))
▶	5.2b	(/.f64 x (/.f64 z y))
	7.2b	(.f64 (.f64 x y) (/.f64 1 z))
	7.7b	(/.f64 1 (/.f64 z (*.f64 x y)))
	5.7b	(*.f64 x (/.f64 y z))
	35.4b	(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
	28.3b	(.f64 (sqrt.f64 (/.f64 (.f64 x y) z)) (sqrt.f64 (/.f64 (*.f64 x y) z)))

Compiler

Compiled 497 to 196 computations (60.6% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.1b	(/.f64 x (/.f64 z y))

series15.0ms (0.4%)

Counts

1 → 36

Calls

1 calls:

15.0ms

(/.f64 x (/.f64 z y))

rewrite10.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`times-frac_binary64`
43×	`*-un-lft-identity_binary64`
43×	`add-sqr-sqrt_binary64`
43×	`add-cube-cbrt_binary64`
13×	`associate-/r*_binary64`

Counts

1 → 72

Calls

1 calls:

4.0ms

(/.f64 x (/.f64 z y))

simplify106.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

786×	`fma-def_binary64`
737×	`fma-neg_binary64`
483×	`*-commutative_binary64`
349×	`associate-/r/_binary64`
328×	`div-sub_binary64`

Counts

108 → 111

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	149	1514
1	312	1454
2	913	1451
3	2183	1451
4	2513	1451
5	2715	1451
6	3189	1451
7	5069	1451

prune53.0ms (1.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	108	3	111
Fresh	4	2	6
Picked	0	1	1
Done	0	0	0
Total	112	6	118

Error

0.0b

Counts

118 → 6

Alt Table

Status	Error	Program
✓	5.2b	(/.f64 x (/.f64 z y))
	7.7b	(/.f64 1 (/.f64 z (*.f64 x y)))
	5.7b	(*.f64 x (/.f64 y z))
	5.7b	(/.f64 (/.f64 x z) (/.f64 1 y))
	19.5b	(/.f64 (*.f64 x (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))
▶	5.6b	(*.f64 (/.f64 x z) y)

Compiler

Compiled 1589 to 436 computations (72.6% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.4b	(*.f64 (/.f64 x z) y)

series20.0ms (0.5%)

Counts

1 → 36

Calls

1 calls:

20.0ms

(*.f64 (/.f64 x z) y)

rewrite11.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64`
13×	`associate-l_binary64`
10×	`times-frac_binary64`
9×	`*-un-lft-identity_binary64`
9×	`add-cube-cbrt_binary64`

Counts

1 → 34

Calls

1 calls:

5.0ms

(*.f64 (/.f64 x z) y)

simplify109.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

591×	`fabs-mul_binary64`
520×	`pow-sqr_binary64`
516×	`times-frac_binary64`
449×	`sqr-pow_binary64`
232×	`associate-/l/_binary64`

Counts

70 → 56

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	71	633
1	154	585
2	386	585
3	1115	585
4	2128	585
5	2361	585
6	2633	585
7	3028	585
8	3490	585
9	4247	585
10	4842	585
11	5129	585

prune25.0ms (0.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	55	1	56
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	55	7	62

Error

Counts

62 → 7

Alt Table

Status	Error	Program
	20.0b	(.f64 (.f64 (/.f64 x z) (sqrt.f64 y)) (sqrt.f64 y))
▶	5.7b	(/.f64 (/.f64 x z) (/.f64 1 y))
✓	5.2b	(/.f64 x (/.f64 z y))
	7.7b	(/.f64 1 (/.f64 z (*.f64 x y)))
	5.7b	(*.f64 x (/.f64 y z))
	19.5b	(/.f64 (*.f64 x (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))
✓	5.6b	(*.f64 (/.f64 x z) y)

Compiler

Compiled 761 to 254 computations (66.6% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.5b	(/.f64 (/.f64 x z) (/.f64 1 y))

series12.0ms (0.3%)

Counts

1 → 36

Calls

1 calls:

12.0ms

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

rewrite40.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

421×	`times-frac_binary64`
197×	`*-un-lft-identity_binary64`
197×	`add-sqr-sqrt_binary64`
197×	`add-cube-cbrt_binary64`
29×	`div-inv_binary64`

Counts

1 → 221

Calls

1 calls:

9.0ms

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

simplify276.0ms (7.4%)

Algorithm

1×	egg-herbie

Rules

728×	`times-frac_binary64`
517×	`div-sub_binary64`
495×	`associate-/l*_binary64`
424×	`associate-*l/_binary64`
389×	`associate-/r/_binary64`

Counts

257 → 279

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	222	5170
1	559	4708
2	1525	4690
3	3236	4690
4	3313	4690
5	3540	4690
6	4188	4690
7	4459	4690
8	4857	4690

prune138.0ms (3.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	279	0	279
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	279	7	286

Error

Counts

286 → 7

Alt Table

Status	Error	Program
	20.0b	(.f64 (.f64 (/.f64 x z) (sqrt.f64 y)) (sqrt.f64 y))
✓	5.7b	(/.f64 (/.f64 x z) (/.f64 1 y))
✓	5.2b	(/.f64 x (/.f64 z y))
	7.7b	(/.f64 1 (/.f64 z (*.f64 x y)))
	5.7b	(*.f64 x (/.f64 y z))
	19.5b	(/.f64 (*.f64 x (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))
✓	5.6b	(*.f64 (/.f64 x z) y)

Compiler

Compiled 5337 to 2315 computations (56.6% saved)

regimes235.0ms (6.3%)

Accuracy

Total 0.2b remaining (94.6%)

Threshold costs 0.2b (94.6%)

Counts

30 → 5

Compiler

Compiled 2208 to 1268 computations (42.6% saved)

bsearch1.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	74
1	27	74
2	26	74

end79.0ms (2.1%)

Compiler: Compiled 284 to 131 computations (53.9% saved)

Details

analyze1.1s (29.4%)

sample1.3s (35.1%)

simplify7.0ms (0.2%)

prune2.0ms (0%)

localize4.0ms (0.1%)

series14.0ms (0.4%)

rewrite4.0ms (0.1%)

simplify117.0ms (3.1%)

prune29.0ms (0.8%)

localize4.0ms (0.1%)

series15.0ms (0.4%)

rewrite10.0ms (0.3%)

simplify106.0ms (2.8%)

prune53.0ms (1.4%)

localize4.0ms (0.1%)

series20.0ms (0.5%)

rewrite11.0ms (0.3%)

simplify109.0ms (2.9%)

prune25.0ms (0.7%)

localize7.0ms (0.2%)

series12.0ms (0.3%)

rewrite40.0ms (1.1%)

simplify276.0ms (7.4%)

prune138.0ms (3.7%)

regimes235.0ms (6.3%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end79.0ms (2.1%)

Profiling