Details

analyze423.0ms (18.9%)

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
25%	74.9%	0.1%	7
37.4%	62.4%	0.1%	8
39%	60.8%	0.1%	9
51.5%	48.4%	0.1%	10
58.5%	39.8%	1.7%	11
59.3%	37.6%	3.1%	12
65.7%	28.5%	5.8%	13
69.1%	23.5%	7.4%	14

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.1s (47.9%)

Results

800.0ms	8256×	body	128	valid
182.0ms	1418×	body	128	invalid

Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify23.0ms (1%)

Algorithm

1×	egg-herbie

Rules

377×	`fma-neg_binary64`
309×	`fma-def_binary64`
110×	`cancel-sign-sub-inv_binary64`
77×	`distribute-rgt-in_binary64`
56×	`unsub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	13	10
2	24	10
3	42	10
4	87	10
5	165	10
6	383	10
7	723	10
8	1208	10
9	1493	10
10	1586	10
11	1664	10
12	1668	10

Stop Event

1×

saturated

Counts

1 → 2

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	2	3

Error

0.0b

Counts

3 → 1

Alt Table

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

Compiler

Compiled 37 to 21 computations (43.2% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series19.0ms (0.9%)

Counts

2 → 64

Calls

2 calls:

11.0ms	(+.f64 x (/.f64 (-.f64 y x) z))
9.0ms	(/.f64 (-.f64 y x) z)

rewrite66.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

463×	`log-prod_binary64`
362×	`fma-def_binary64`
223×	`fma-neg_binary64`
166×	`expm1-udef_binary64`
166×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	167	17
2	2693	17

Stop Event

1×	node limit

Counts

2 → 120

Calls

2 calls:

63.0ms	(/.f64 (-.f64 y x) z)
63.0ms	(+.f64 x (/.f64 (-.f64 y x) z))

simplify40.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

321×	`fma-neg_binary64`
304×	`fma-def_binary64`
63×	`distribute-rgt-in_binary64`
63×	`unsub-neg_binary64`
54×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	586
1	54	505
2	110	496
3	232	496
4	469	496
5	937	496
6	1434	496
7	1521	496
8	1522	496

Stop Event

1×

saturated

Counts

184 → 132

prune65.0ms (2.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	130	2	132
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	130	3	133

Error

Counts

133 → 3

Alt Table

Status	Error	Program
▶	0.1b	(fma.f64 (-.f64 y x) (/.f64 1 z) x)
	0.2b	(+.f64 x (pow.f64 (/.f64 z (-.f64 y x)) -1))
✓	0.0b	(+.f64 x (/.f64 (-.f64 y x) z))

Compiler

Compiled 1847 to 569 computations (69.2% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (-.f64 y x) (/.f64 1 z) x)

series10.0ms (0.4%)

Counts

1 → 36

Calls

1 calls:

10.0ms

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

rewrite38.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

826×	`log1p-expm1-u_binary64`
826×	`expm1-log1p-u_binary64`
423×	`prod-diff_binary64`
86×	`add-sqr-sqrt_binary64`
81×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	169	10
2	2208	10

Stop Event

1×	node limit

Counts

1 → 23

Calls

1 calls:

38.0ms

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

simplify34.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

297×	`fma-neg_binary64`
295×	`fma-def_binary64`
76×	`distribute-rgt-in_binary64`
71×	`cancel-sign-sub-inv_binary64`
42×	`sub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	393
1	39	312
2	77	312
3	175	312
4	338	312
5	614	312
6	930	312
7	1196	312
8	1293	312
9	1374	312
10	1464	312

Stop Event

1×

saturated

Counts

59 → 30

prune12.0ms (0.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	30	0	30
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	30	3	33

Error

Counts

33 → 3

Alt Table

Status	Error	Program
✓	0.1b	(fma.f64 (-.f64 y x) (/.f64 1 z) x)
▶	0.2b	(+.f64 x (pow.f64 (/.f64 z (-.f64 y x)) -1))
✓	0.0b	(+.f64 x (/.f64 (-.f64 y x) z))

Compiler

Compiled 370 to 116 computations (68.6% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 z (-.f64 y x))
✓	0.0b	(+.f64 x (pow.f64 (/.f64 z (-.f64 y x)) -1))
✓	0.6b	(pow.f64 (/.f64 z (-.f64 y x)) -1)

series148.0ms (6.6%)

Counts

3 → 96

Calls

3 calls:

70.0ms	(pow.f64 (/.f64 z (-.f64 y x)) -1)
64.0ms	(+.f64 x (pow.f64 (/.f64 z (-.f64 y x)) -1))
14.0ms	(/.f64 z (-.f64 y x))

rewrite54.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

987×	`prod-diff_binary64`
189×	`log1p-udef_binary64`
116×	`egg-rr`
107×	`add-sqr-sqrt_binary64`
103×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	206	24
2	3010	24

Stop Event

1×	node limit

Counts

3 → 116

Calls

3 calls:

52.0ms	(/.f64 z (-.f64 y x))
52.0ms	(+.f64 x (pow.f64 (/.f64 z (-.f64 y x)) -1))
52.0ms	(pow.f64 (/.f64 z (-.f64 y x)) -1)

simplify38.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

454×	`cancel-sign-sub-inv_binary64`
446×	`fma-neg_binary64`
368×	`associate-/r/_binary64`
334×	`associate-/l/_binary64`
180×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	58	1248
1	157	1167
2	459	1056
3	1994	1014

Stop Event

1×	node limit

Counts

212 → 141

prune69.0ms (3.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	141	3	144

Error

Counts

144 → 3

Alt Table

Status	Error	Program
✓	0.1b	(fma.f64 (-.f64 y x) (/.f64 1 z) x)
✓	0.2b	(+.f64 x (pow.f64 (/.f64 z (-.f64 y x)) -1))
✓	0.0b	(+.f64 x (/.f64 (-.f64 y x) z))

Compiler

Compiled 2043 to 789 computations (61.4% saved)

regimes68.0ms (3%)

Accuracy

Total 0.0b remaining (67.2%)

Threshold costs 0.0b (67.2%)

Counts

17 → 1

Compiler

Compiled 756 to 490 computations (35.2% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	10	10
2	15	10
3	17	10
4	18	10

Stop Event

1×

saturated

end42.0ms (1.9%)

Compiler: Compiled 53 to 33 computations (37.7% saved)

Details

analyze423.0ms (18.9%)

sample1.1s (47.9%)

simplify23.0ms (1%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

series19.0ms (0.9%)

rewrite66.0ms (2.9%)

simplify40.0ms (1.8%)

prune65.0ms (2.9%)

localize5.0ms (0.2%)

series10.0ms (0.4%)

rewrite38.0ms (1.7%)

simplify34.0ms (1.5%)

prune12.0ms (0.5%)

localize6.0ms (0.3%)

series148.0ms (6.6%)

rewrite54.0ms (2.4%)

simplify38.0ms (1.7%)

prune69.0ms (3.1%)

regimes68.0ms (3%)

simplify2.0ms (0.1%)

end42.0ms (1.9%)

Profiling