Details

analyze346.0ms (11.1%)

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
31.2%	68.6%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	57.7%	1.7%	9
54.6%	41.3%	4%	10
59.3%	36.7%	4%	11
61.6%	32.6%	5.8%	12
68.3%	22.7%	9%	13
71%	20%	9%	14

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample923.0ms (29.8%)

Symmetry

(sort x y)

Results

818.0ms	8256×	body	128	valid
70.0ms	794×	body	128	invalid

Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify6.0ms (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

prune1.0ms (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

7.7b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	7.7b	(/.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
✓	7.4b	(/.f64 (*.f64 x y) z)

series13.0ms (0.4%)

Counts

1 → 36

Calls

1 calls:

13.0ms

(/.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)

simplify116.0ms (3.7%)

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

prune27.0ms (0.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	28	8	36
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	29	8	37

Error

0.0b

Counts

37 → 8

Alt Table

Status	Error	Program
▶	5.3b	(/.f64 x (/.f64 z y))
	8.1b	(/.f64 1 (/.f64 z (*.f64 x y)))
	5.5b	(*.f64 x (/.f64 y z))
	35.1b	(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
	49.6b	(cbrt.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)) (.f64 (*.f64 z z) z)))
	7.7b	(/.f64 (/.f64 (*.f64 x y) 1) z)
	37.6b	(/.f64 (/.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
	8.4b	(/.f64 (/.f64 (.f64 x y) (.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z))

Compiler

Compiled 537 to 222 computations (58.7% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series14.0ms (0.4%)

Counts

1 → 36

Calls

1 calls:

13.0ms

(/.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))

simplify115.0ms (3.7%)

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

prune63.0ms (2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	107	4	111
Fresh	5	2	7
Picked	1	0	1
Done	0	0	0
Total	113	6	119

Error

Counts

119 → 6

Alt Table

Status	Error	Program
	5.8b	(/.f64 1 (/.f64 (/.f64 z y) x))
	8.4b	(/.f64 (/.f64 (.f64 x y) (.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z))
	7.7b	(*.f64 (/.f64 1 z) (/.f64 x (/.f64 1 y)))
▶	5.5b	(*.f64 x (/.f64 y z))
	16.3b	(*.f64 (sqrt.f64 y) (/.f64 x (/.f64 z (sqrt.f64 y))))
	7.7b	(/.f64 (*.f64 y x) z)

Compiler

Compiled 1615 to 451 computations (72.1% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.3b	(*.f64 x (/.f64 y z))

series14.0ms (0.4%)

Counts

1 → 36

Calls

1 calls:

14.0ms

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

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
10×	`times-frac_binary64`
9×	`*-un-lft-identity_binary64`
9×	`add-cube-cbrt_binary64`

Counts

1 → 34

Calls

1 calls:

5.0ms

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

simplify114.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

736×	`fabs-mul_binary64`
732×	`sqr-pow_binary64`
503×	`pow-sqr_binary64`
384×	`associate-/l/_binary64`
307×	`unswap-sqr_binary64`

Counts

70 → 50

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	72	642
1	162	597
2	526	597
3	1312	597
4	2135	597
5	2239	597
6	2445	597
7	2751	597
8	3643	597
9	4500	597
10	4489	597
11	5931	597

prune26.0ms (0.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	50	6	56

Error

Counts

56 → 6

Alt Table

Status	Error	Program
▶	5.8b	(/.f64 1 (/.f64 (/.f64 z y) x))
	8.4b	(/.f64 (/.f64 (.f64 x y) (.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z))
	7.7b	(*.f64 (/.f64 1 z) (/.f64 x (/.f64 1 y)))
✓	5.5b	(*.f64 x (/.f64 y z))
	16.3b	(*.f64 (sqrt.f64 y) (/.f64 x (/.f64 z (sqrt.f64 y))))
	7.7b	(/.f64 (*.f64 y x) z)

Compiler

Compiled 661 to 234 computations (64.6% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.7b	(/.f64 1 (/.f64 (/.f64 z y) x))
✓	5.1b	(/.f64 (/.f64 z y) x)

series30.0ms (1%)

Counts

2 → 72

Calls

2 calls:

17.0ms	(/.f64 (/.f64 z y) x)
13.0ms	(/.f64 1 (/.f64 (/.f64 z y) x))

rewrite68.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

468×	`times-frac_binary64`
228×	`*-un-lft-identity_binary64`
228×	`add-sqr-sqrt_binary64`
228×	`add-cube-cbrt_binary64`
46×	`associate-/r*_binary64`

Counts

2 → 274

Calls

2 calls:

9.0ms	(/.f64 1 (/.f64 (/.f64 z y) x))
4.0ms	(/.f64 (/.f64 z y) x)

simplify271.0ms (8.7%)

Algorithm

1×	egg-herbie

Rules

650×	`times-frac_binary64`
529×	`associate-/l/_binary64`
442×	`associate-/r*_binary64`
420×	`associate-*l/_binary64`
396×	`associate-/l*_binary64`

Counts

346 → 389

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	253	6241
1	519	5519
2	1403	5381
3	3798	5381
4	3791	5381
5	4124	5381
6	4477	5381
7	4996	5381

prune177.0ms (5.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	389	0	389
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	389	6	395

Error

Counts

395 → 6

Alt Table

Status	Error	Program
✓	5.8b	(/.f64 1 (/.f64 (/.f64 z y) x))
	8.4b	(/.f64 (/.f64 (.f64 x y) (.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z))
	7.7b	(*.f64 (/.f64 1 z) (/.f64 x (/.f64 1 y)))
✓	5.5b	(*.f64 x (/.f64 y z))
	16.3b	(*.f64 (sqrt.f64 y) (/.f64 x (/.f64 z (sqrt.f64 y))))
	7.7b	(/.f64 (*.f64 y x) z)

Compiler

Compiled 7038 to 2337 computations (66.8% saved)

regimes523.0ms (16.9%)

Accuracy

Total 0.4b remaining (94.1%)

Threshold costs 0.4b (94.1%)

Counts

50 → 5

Compiler

Compiled 3503 to 2126 computations (39.3% saved)

bsearch1.0ms (0%)

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

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	77
1	33	77
2	32	77

end214.0ms (6.9%)

Compiler: Compiled 289 to 149 computations (48.4% saved)

Details

analyze346.0ms (11.1%)

sample923.0ms (29.8%)

simplify6.0ms (0.2%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series13.0ms (0.4%)

rewrite4.0ms (0.1%)

simplify116.0ms (3.7%)

prune27.0ms (0.9%)

localize4.0ms (0.1%)

series14.0ms (0.4%)

rewrite10.0ms (0.3%)

simplify115.0ms (3.7%)

prune63.0ms (2%)

localize3.0ms (0.1%)

series14.0ms (0.4%)

rewrite6.0ms (0.2%)

simplify114.0ms (3.7%)

prune26.0ms (0.8%)

localize8.0ms (0.3%)

series30.0ms (1%)

rewrite68.0ms (2.2%)

simplify271.0ms (8.7%)

prune177.0ms (5.7%)

regimes523.0ms (16.9%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end214.0ms (6.9%)

Profiling