Details

analyze380.0ms (19.7%)

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
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
37.4%	62.4%	0.1%	9
46.8%	47.6%	5.6%	10
54.6%	39.4%	6%	11
62.8%	31%	6.2%	12
66.9%	23.9%	9.2%	13
71.7%	19%	9.4%	14

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample853.0ms (44.3%)

Alt Table

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

Symmetry

(sort y z)

Results

774.0ms	8256×	body	128	valid
31.0ms	314×	body	128	invalid

Compiler

Compiled 42 to 27 computations (35.7% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series5.0ms (0.3%)

Counts

1 → 9

Calls

1 calls:

5.0ms

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

rewrite57.0ms (3%)

Algorithm

2×	batch-egg-rewrite

Rules

684×	`log1p-expm1-u_binary64`
684×	`expm1-log1p-u_binary64`
624×	`prod-diff_binary64`
95×	`egg-rr`
70×	`add-sqr-sqrt_binary64`

Counts

1 → 95

Calls

1 calls:

54.0ms

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	132	7
2	1712	7
3	5386	7
0	0	0
1	0	0

prune40.0ms (2.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	103	1	104
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	103	2	105

Error

Counts

105 → 2

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 x (*.f64 y z))
▶	26.4b	(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y z) 2)) (+.f64 x (*.f64 y z)))

Compiler

Compiled 2184 to 390 computations (82.1% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (*.f64 y z))
✓	0.3b	(pow.f64 (*.f64 y z) 2)
✓	2.8b	(-.f64 (.f64 x x) (pow.f64 (.f64 y z) 2))
✓	24.9b	(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y z) 2)) (+.f64 x (*.f64 y z)))

series62.0ms (3.2%)

Counts

4 → 132

Calls

4 calls:

28.0ms	(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y z) 2)) (+.f64 x (*.f64 y z)))
22.0ms	(-.f64 (.f64 x x) (pow.f64 (.f64 y z) 2))
7.0ms	(pow.f64 (*.f64 y z) 2)
5.0ms	(+.f64 x (*.f64 y z))

rewrite166.0ms (8.6%)

Algorithm

2×	batch-egg-rewrite

Rules

553×	`fma-def_binary64`
381×	`egg-rr`
257×	`fma-neg_binary64`
219×	`expm1-udef_binary64`
219×	`log1p-udef_binary64`

Counts

4 → 381

Calls

4 calls:

154.0ms	(+.f64 x (*.f64 y z))
154.0ms	(pow.f64 (*.f64 y z) 2)
154.0ms	(-.f64 (.f64 x x) (pow.f64 (.f64 y z) 2))
154.0ms	(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y z) 2)) (+.f64 x (*.f64 y z)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	49
1	253	32
2	3300	32
3	4987	32
4	4953	32
0	0	0
1	0	0

prune232.0ms (12%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	513	0	513
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	513	2	515

Error

Counts

515 → 2

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 x (*.f64 y z))
✓	26.4b	(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y z) 2)) (+.f64 x (*.f64 y z)))

Compiler

Compiled 10891 to 3783 computations (65.3% saved)

regimes73.0ms (3.8%)

Accuracy

Total 0.0b remaining (6%)

Threshold costs 0.0b (6%)

Counts

12 → 1

Compiler

Compiled 977 to 566 computations (42.1% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
4×	`*-commutative_binary64`
4×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	12	7
2	22	7
3	28	7
4	32	7
5	33	7
6	33	7

end42.0ms (2.2%)

Remove: (sort y z)
Compiler: Compiled 58 to 35 computations (39.7% saved)

Details

analyze380.0ms (19.7%)

sample853.0ms (44.3%)

localize3.0ms (0.2%)

series5.0ms (0.3%)

rewrite57.0ms (3%)

prune40.0ms (2.1%)

localize8.0ms (0.4%)

series62.0ms (3.2%)

rewrite166.0ms (8.6%)

prune232.0ms (12%)

regimes73.0ms (3.8%)

simplify4.0ms (0.2%)

end42.0ms (2.2%)

Profiling