Details

analyze1.1s (36.4%)

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
21.8%	78%	0.1%	7
26.5%	73.3%	0.1%	8
36.7%	63.2%	0.1%	9
41.3%	49.9%	8.7%	10
47.2%	43.3%	9.5%	11
54.4%	35.5%	10.1%	12
57.9%	27.4%	14.7%	13
61.7%	23.2%	15.1%	14

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample44.0ms (1.5%)

Algorithm

1×

intervals

Results

16.0ms	256×	body	128	valid
1.0ms	21×	body	128	invalid

Compiler

Compiled 24 to 18 computations (25% saved)

simplify74.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

673×	`fma-neg_binary64`
461×	`fma-def_binary64`
143×	`distribute-rgt-in_binary64`
135×	`cancel-sign-sub-inv_binary64`
117×	`sub-neg_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	14	10
2	32	10
3	73	10
4	190	10
5	423	10
6	676	10
7	1136	10
8	1124	10
9	1359	10
10	1394	10
11	1394	10
12	1351	10

prune3.0ms (0.1%)

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

0.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.0b	(*.f64 (+.f64 x y) (-.f64 1 z))

Compiler

Compiled 30 to 21 computations (30% saved)

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 x y) (-.f64 1 z))

series13.0ms (0.5%)

Counts

1 → 36

Calls

1 calls:

13.0ms

(*.f64 (+.f64 x y) (-.f64 1 z))

rewrite25.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`*-un-lft-identity_binary64`
22×	`add-sqr-sqrt_binary64`
18×	`prod-diff_binary64`
17×	`add-cube-cbrt_binary64`
13×	`distribute-lft-in_binary64`

Counts

1 → 58

Calls

1 calls:

17.0ms

(*.f64 (+.f64 x y) (-.f64 1 z))

simplify130.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

725×	`distribute-rgt-in_binary64`
670×	`distribute-lft-in_binary64`
623×	`fma-def_binary64`
470×	`fma-neg_binary64`
304×	`*-commutative_binary64`

Counts

94 → 90

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	128	1510
1	295	1288
2	1142	1234
3	3920	1126
4	4552	1126
5	4752	1126

prune89.0ms (3.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	89	2	91

Error

Counts

91 → 2

Alt Table

Status	Error	Program
▶	0.0b	(+.f64 (+.f64 y x) (neg.f64 (*.f64 z (+.f64 y x))))
✓	0.0b	(*.f64 (+.f64 x y) (-.f64 1 z))

Compiler

Compiled 1690 to 730 computations (56.8% saved)

localize11.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 y x) (neg.f64 (*.f64 z (+.f64 y x))))
✓	0.0b	(*.f64 z (+.f64 y x))

series29.0ms (1%)

Counts

2 → 60

Calls

2 calls:

16.0ms	(+.f64 (+.f64 y x) (neg.f64 (*.f64 z (+.f64 y x))))
13.0ms	(*.f64 z (+.f64 y x))

rewrite29.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`*-un-lft-identity_binary64`
12×	`add-log-exp_binary64`
7×	`add-sqr-sqrt_binary64`
6×	`sum-log_binary64`
6×	`distribute-lft-out_binary64`

Counts

2 → 59

Calls

2 calls:

12.0ms	(+.f64 (+.f64 y x) (neg.f64 (*.f64 z (+.f64 y x))))
9.0ms	(*.f64 z (+.f64 y x))

simplify142.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

560×	`unsub-neg_binary64`
416×	`times-frac_binary64`
382×	`associate-+l+_binary64`
349×	`*-commutative_binary64`
320×	`associate-+r+_binary64`

Counts

119 → 105

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	124	1487
1	373	1274
2	1548	1229
3	3917	1229
4	4812	1229
5	5204	1229

prune88.0ms (3.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	105	2	107

Error

Counts

107 → 2

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 (+.f64 y x) (neg.f64 (*.f64 z (+.f64 y x))))
✓	0.0b	(*.f64 (+.f64 x y) (-.f64 1 z))

Compiler

Compiled 1699 to 480 computations (71.7% saved)

regimes214.0ms (7.4%)

Accuracy

Total 0.0b remaining (52.3%)

Threshold costs 0.0b (52.3%)

Counts

18 → 1

Compiler

Compiled 1192 to 766 computations (35.7% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

7×	`+-commutative_binary64`
6×	`*-commutative_binary64`
5×	`sub-neg_binary64`
5×	`neg-sub0_binary64`
5×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	20	13
2	32	13
3	43	13
4	49	13
5	51	13
6	51	13

end12.0ms (0.4%)

Remove: (sort x y)
Compiler: Compiled 36 to 18 computations (50% saved)

sample914.0ms (31.7%)

Algorithm

1×

intervals

Results

408.0ms	7999×	body	128	valid
27.0ms	571×	body	128	invalid
0.0ms	1×	body	1024	valid

Compiler

Compiled 49 to 31 computations (36.7% saved)

Details

analyze1.1s (36.4%)

sample44.0ms (1.5%)

simplify74.0ms (2.6%)

prune3.0ms (0.1%)

localize9.0ms (0.3%)

series13.0ms (0.5%)

rewrite25.0ms (0.9%)

simplify130.0ms (4.5%)

prune89.0ms (3.1%)

localize11.0ms (0.4%)

series29.0ms (1%)

rewrite29.0ms (1%)

simplify142.0ms (4.9%)

prune88.0ms (3.1%)

regimes214.0ms (7.4%)

simplify5.0ms (0.2%)

end12.0ms (0.4%)

sample914.0ms (31.7%)

Profiling