Details

analyze331.0ms (9.9%)

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)

sample838.0ms (25.1%)

Symmetry

(sort x y)

Results

739.0ms	8256×	body	128	valid
63.0ms	686×	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

6.5b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	6.5b	(/.f64 (*.f64 x y) z)

Compiler

Compiled 24 to 15 computations (37.5% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.4b	(/.f64 (*.f64 x y) z)

series11.0ms (0.3%)

Counts

1 → 36

Calls

1 calls:

11.0ms

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

rewrite6.0ms (0.2%)

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:

5.0ms

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

simplify111.0ms (3.3%)

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 (0.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	29	7	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	8	37

Error

0.0b

Counts

37 → 8

Alt Table

Status	Error	Program
✓	6.5b	(/.f64 (*.f64 x y) z)
	6.9b	(/.f64 1 (/.f64 z (*.f64 x y)))
▶	4.8b	(/.f64 (.f64 y (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 z))
	7.4b	(/.f64 (/.f64 (.f64 x y) (.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z))
	6.2b	(/.f64 x (/.f64 z y))
	6.6b	(.f64 (.f64 x y) (/.f64 1 z))
	6.4b	(*.f64 x (/.f64 y z))
	32.8b	(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))

Compiler

Compiled 509 to 205 computations (59.7% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
✓	0.6b	(cbrt.f64 z)
✓	0.7b	(/.f64 (.f64 y (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 z))
✓	4.2b	(.f64 y (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z))))

series958.0ms (28.7%)

Counts

4 → 96

Calls

4 calls:

848.0ms	(.f64 y (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z))))
43.0ms	(/.f64 (.f64 y (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 z))
37.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
30.0ms	(cbrt.f64 z)

rewrite23.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`add-sqr-sqrt_binary64`
29×	`add-exp-log_binary64`
25×	`cbrt-prod_binary64`
20×	`*-un-lft-identity_binary64`
20×	`add-cube-cbrt_binary64`

Counts

4 → 119

Calls

4 calls:

6.0ms	(/.f64 (.f64 y (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 z))
6.0ms	(.f64 y (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z))))
4.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
1.0ms	(cbrt.f64 z)

simplify108.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

569×	`fma-def_binary64`
523×	`associate-/r/_binary64`
387×	`fma-neg_binary64`
336×	`unswap-sqr_binary64`
324×	`*-commutative_binary64`

Counts

215 → 180

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	155	2994
1	327	2195
2	1488	2142
3	2724	2103
4	4326	2103
5	4917	2103

prune90.0ms (2.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	214	2	216
Fresh	3	3	6
Picked	1	0	1
Done	1	0	1
Total	219	5	224

Error

Counts

224 → 5

Alt Table

Status	Error	Program
	6.0b	(/.f64 y (/.f64 z x))
	6.6b	(.f64 (.f64 x y) (/.f64 1 z))
	6.2b	(/.f64 x (/.f64 z y))
▶	5.6b	(*.f64 y (/.f64 x z))
	6.4b	(*.f64 x (/.f64 y z))

Compiler

Compiled 3669 to 1118 computations (69.5% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series14.0ms (0.4%)

Counts

1 → 36

Calls

1 calls:

14.0ms

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

rewrite8.0ms (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:

4.0ms

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

simplify102.0ms (3%)

Algorithm

1×	egg-herbie

Rules

659×	`sqr-pow_binary64`
442×	`pow-sqr_binary64`
432×	`associate-/l/_binary64`
370×	`fabs-mul_binary64`
317×	`associate-/r*_binary64`

Counts

70 → 48

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	71	642
1	162	597
2	524	597
3	1383	597
4	2291	597
5	2423	597
6	2658	597
7	2981	597
8	3416	597
9	4100	597
10	5278	597

prune23.0ms (0.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	48	5	53

Error

Counts

53 → 5

Alt Table

Status	Error	Program
▶	6.0b	(/.f64 y (/.f64 z x))
	6.6b	(.f64 (.f64 x y) (/.f64 1 z))
	6.2b	(/.f64 x (/.f64 z y))
✓	5.6b	(*.f64 y (/.f64 x z))
	6.4b	(*.f64 x (/.f64 y z))

Compiler

Compiled 603 to 201 computations (66.7% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.8b	(/.f64 y (/.f64 z x))

series11.0ms (0.3%)

Counts

1 → 36

Calls

1 calls:

11.0ms

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

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:

5.0ms

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

simplify137.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

1089×	`associate-/r/_binary64`
835×	`fma-def_binary64`
611×	`fma-neg_binary64`
460×	`distribute-rgt-in_binary64`
452×	`div-sub_binary64`

Counts

108 → 114

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	149	1514
1	310	1454
2	924	1451
3	2212	1451
4	2356	1451
5	2544	1451
6	2955	1451
7	3895	1451
8	4379	1451
9	5031	1451

prune40.0ms (1.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	114	5	119

Error

Counts

119 → 5

Alt Table

Status	Error	Program
✓	6.0b	(/.f64 y (/.f64 z x))
	6.6b	(.f64 (.f64 x y) (/.f64 1 z))
	6.2b	(/.f64 x (/.f64 z y))
✓	5.6b	(*.f64 y (/.f64 x z))
	6.4b	(*.f64 x (/.f64 y z))

Compiler

Compiled 1575 to 402 computations (74.5% saved)

regimes245.0ms (7.3%)

Accuracy

Total 0.9b remaining (98.6%)

Threshold costs 0.9b (98.6%)

Counts

21 → 5

Compiler

Compiled 1797 to 912 computations (49.2% saved)

bsearch1.0ms (0%)

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

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	71
1	25	71
2	25	71

end217.0ms (6.5%)

Compiler: Compiled 250 to 111 computations (55.6% saved)

Details

analyze331.0ms (9.9%)

sample838.0ms (25.1%)

simplify6.0ms (0.2%)

prune1.0ms (0%)

localize5.0ms (0.2%)

series11.0ms (0.3%)

rewrite6.0ms (0.2%)

simplify111.0ms (3.3%)

prune27.0ms (0.8%)

localize7.0ms (0.2%)

series958.0ms (28.7%)

rewrite23.0ms (0.7%)

simplify108.0ms (3.2%)

prune90.0ms (2.7%)

localize3.0ms (0.1%)

series14.0ms (0.4%)

rewrite8.0ms (0.2%)

simplify102.0ms (3%)

prune23.0ms (0.7%)

localize4.0ms (0.1%)

series11.0ms (0.3%)

rewrite10.0ms (0.3%)

simplify137.0ms (4.1%)

prune40.0ms (1.2%)

regimes245.0ms (7.3%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end217.0ms (6.5%)

Profiling