Details

analyze428.0ms (20.6%)

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)

sample986.0ms (47.4%)

Results

789.0ms	8256×	body	128	valid
180.0ms	1429×	body	128	invalid

Compiler

Compiled 22 to 14 computations (36.4% saved)

preprocess66.0ms (3.2%)

Algorithm

2×	egg-herbie

Rules

1004×	`fma-neg_binary64`
393×	`times-frac_binary64`
378×	`div-sub_binary64`
312×	`cancel-sign-sub-inv_binary64`
211×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	40
1	37	40
2	73	40
3	140	40
4	305	40
5	626	40
6	1569	40
7	3204	40
8	3841	40
9	4124	40
10	4286	40
11	4342	40
0	3	3

Stop Event

1×	saturated
1×	node limit

Compiler

Compiled 10 to 6 computations (40% saved)

simplify23.0ms (1.1%)

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 x (/.f64 (-.f64 y x) z))
✓	0.0b	(/.f64 (-.f64 y x) z)

series23.0ms (1.1%)

Counts

2 → 64

Calls

18 calls:

3.0ms	(/.f64 (-.f64 y x) z)	x	inf
2.0ms	(+.f64 x (/.f64 (-.f64 y x) z))	x	-inf
2.0ms	(+.f64 x (/.f64 (-.f64 y x) z))	x	inf
2.0ms	(+.f64 x (/.f64 (-.f64 y x) z))	y	inf
2.0ms	(+.f64 x (/.f64 (-.f64 y x) z))	y	-inf

rewrite57.0ms (2.7%)

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

simplify38.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

312×	`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	233	496
4	470	496
5	933	496
6	1422	496
7	1509	496
8	1510	496

Stop Event

1×

saturated

Counts

184 → 132

prune52.0ms (2.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	131	1	132
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	131	2	133

Error

Counts

133 → 2

Alt Table

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

Compiler

Compiled 1829 to 555 computations (69.7% saved)

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (pow.f64 (/.f64 z (-.f64 y x)) -1))
✓	0.0b	(/.f64 z (-.f64 y x))
✓	0.4b	(pow.f64 (/.f64 z (-.f64 y x)) -1)

series153.0ms (7.3%)

Counts

3 → 96

Calls

27 calls:

12.0ms	(+.f64 x (pow.f64 (/.f64 z (-.f64 y x)) -1))	y	-inf
11.0ms	(pow.f64 (/.f64 z (-.f64 y x)) -1)	y	0
11.0ms	(pow.f64 (/.f64 z (-.f64 y x)) -1)	y	-inf
11.0ms	(+.f64 x (pow.f64 (/.f64 z (-.f64 y x)) -1))	x	inf
10.0ms	(+.f64 x (pow.f64 (/.f64 z (-.f64 y x)) -1))	y	0

rewrite63.0ms (3%)

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

simplify41.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

454×	`cancel-sign-sub-inv_binary64`
446×	`fma-neg_binary64`
365×	`associate-/r/_binary64`
333×	`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	1990	1014

Stop Event

1×	node limit

Counts

212 → 141

prune59.0ms (2.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	141	2	143

Error

Counts

143 → 2

Alt Table

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

Compiler

Compiled 2032 to 780 computations (61.6% saved)

regimes38.0ms (1.8%)

Accuracy

Total 0.0b remaining (25%)

Threshold costs 0.0b (25%)

Counts

7 → 1

Compiler

Compiled 292 to 194 computations (33.6% 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

end38.0ms (1.8%)

Stop Event

1×

done

Compiler

Compiled 42 to 26 computations (38.1% saved)

Details

analyze428.0ms (20.6%)

sample986.0ms (47.4%)

preprocess66.0ms (3.2%)

simplify23.0ms (1.1%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

series23.0ms (1.1%)

rewrite57.0ms (2.7%)

simplify38.0ms (1.8%)

prune52.0ms (2.5%)

localize8.0ms (0.4%)

series153.0ms (7.3%)

rewrite63.0ms (3%)

simplify41.0ms (1.9%)

prune59.0ms (2.8%)

regimes38.0ms (1.8%)

simplify2.0ms (0.1%)

end38.0ms (1.8%)

Profiling